No description available.
" + return '''+ Here are some definitions. +
'''.format(name, '23333') + +def get_key_region_at(view, point): + if view.match_selector(point, 'variable.function.wolfram'): + for region in view.find_by_selector('variable.function.wolfram'): + if region.contains(point): + return region + return None + +class WlEventListener(sublime_plugin.ViewEventListener): + + def on_query_completions(prefix, locations): + return [ + ["me1\tmethod", "method1()"], + ["me2\tmethod", "method2()"] + ] + + def on_hover(self, point, hover_zone): + if hover_zone != sublime.HOVER_TEXT: return + key_region = get_key_region_at(self.view, point) + if not key_region: return + + key = self.view.substr(key_region) + window_width = min(1000, int(self.view.viewport_extent()[0]) - 64) + key_start = key_region.begin() + location = max(key_start - 1, self.view.line(key_start).begin()) + + self.view.show_popup( + content = template.format(get_document(key)), + location = location, + max_width = window_width, + flags = sublime.HIDE_ON_MOUSE_MOVE_AWAY + | sublime.COOPERATE_WITH_AUTO_COMPLETE + ) diff --git a/plugin/usages.json b/plugin/usages.json new file mode 100644 index 0000000..5af099a --- /dev/null +++ b/plugin/usages.json @@ -0,0 +1,5550 @@ +{ + "AASTriangle":"RowBox[{\"AASTriangle\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] returns a filled triangle with angles StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and side length StyleBox[\"a\", \"TI\"], where StyleBox[\"a\", \"TI\"] is adjacent to one angle only.", + "AbelianGroup":"RowBox[{\"AbelianGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the direct product of the cyclic groups of degrees RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].", + "Abort":"RowBox[{\"Abort\", \"[\", \"]\"}] generates an interrupt to abort a computation. ", + "AbortKernels":"RowBox[{\"AbortKernels\", \"[\", \"]\"}] aborts evaluations running in all parallel subkernels.", + "AbortProtect":"RowBox[{\"AbortProtect\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], saving any aborts until the evaluation is complete. ", + "AbortScheduledTask":"RowBox[{\"AbortScheduledTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] interrupts any currently evaluating instances of the cloud task StyleBox[\"task\", \"TI\"].", + "Above":"Above is a symbol that represents the region above an object for purposes of placement.", + "Abs":"RowBox[{\"Abs\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the absolute value of the real or complex number StyleBox[\"z\", \"TI\"]. ", + "AbsArg":"RowBox[{\"AbsArg\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{\"Abs\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}], \",\", RowBox[{\"Arg\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \"}\"}] of the number StyleBox[\"z\", \"TI\"].", + "AbsoluteCorrelation":"RowBox[{\"AbsoluteCorrelation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the absolute correlation between the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"AbsoluteCorrelation\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the absolute correlation matrix for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"AbsoluteCorrelation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the absolute correlation matrix for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"AbsoluteCorrelation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the absolute correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"AbsoluteCorrelation\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] absolute correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"]. ", + "AbsoluteCorrelationFunction":"RowBox[{\"AbsoluteCorrelationFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the absolute correlation function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"AbsoluteCorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the absolute correlation function at lags StyleBox[\"hspec\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. \nRowBox[{\"AbsoluteCorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the absolute correlation function at times StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. ", + "AbsoluteCurrentValue":"RowBox[{\"AbsoluteCurrentValue\", \"[\", StyleBox[\"item\", \"TI\"], \"]\"}] gives the absolute current value of StyleBox[\"item\", \"TI\"] at a location in the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> {\"Mathematica\", \" system\"}] and interface. \nRowBox[{\"AbsoluteCurrentValue\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"item\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] gives the absolute current value for the feature of StyleBox[\"item\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"AbsoluteCurrentValue\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"item\", \"TI\"]}], \"]\"}] gives the absolute current value of StyleBox[\"item\", \"TI\"] associated with the object StyleBox[\"obj\", \"TI\"]. ", + "AbsoluteDashing":"RowBox[{\"AbsoluteDashing\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a graphics directive which specifies that lines which follow are to be drawn dashed, with successive segments having absolute lengths SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], … (repeated cyclically). \nRowBox[{\"AbsoluteDashing\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is equivalent to RowBox[{\"AbsoluteDashing\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}]. ", + "AbsoluteFileName":"RowBox[{\"AbsoluteFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the full absolute version of the name for a file in your filesystem.", + "AbsoluteOptions":"RowBox[{\"AbsoluteOptions\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the absolute settings of options specified in an expression such as a graphics object. \nRowBox[{\"AbsoluteOptions\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the absolute setting for the option StyleBox[\"name\", \"TI\"]. \nRowBox[{\"AbsoluteOptions\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the absolute settings for the options SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AbsoluteOptions\", \"[\", StyleBox[\"object\", \"TI\"], \"]\"}] gives the absolute settings for options associated with an external object such as a NotebookObject. ", + "AbsolutePointSize":"RowBox[{\"AbsolutePointSize\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is a graphics directive which specifies that points which follow are to be shown if possible as circular regions with absolute diameter StyleBox[\"d\", \"TI\"]. ", + "AbsoluteThickness":"RowBox[{\"AbsoluteThickness\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is a graphics directive which specifies that lines which follow are to be drawn with absolute thickness StyleBox[\"d\", \"TI\"]. ", + "AbsoluteTime":"RowBox[{\"AbsoluteTime\", \"[\", \"]\"}] gives the total number of seconds since the beginning of January 1, 1900, in your time zone.\nRowBox[{\"AbsoluteTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives the absolute time specification corresponding to a date list. \nRowBox[{\"AbsoluteTime\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the absolute time specification corresponding to a DateObject.\nRowBox[{\"AbsoluteTime\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the absolute time specification corresponding to a date string.\nRowBox[{\"AbsoluteTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] takes the date string to contain the elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".", + "AbsoluteTiming":"RowBox[{\"AbsoluteTiming\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], returning a list of the absolute number of seconds in real time that have elapsed, together with the result obtained. ", + "AccountingForm":"RowBox[{\"AccountingForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with all numbers in StyleBox[\"expr\", \"TI\"] given in standard accounting notation. \nRowBox[{\"AccountingForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with numbers given to StyleBox[\"n\", \"TI\"]‐digit precision. ", + "Accumulate":"RowBox[{\"Accumulate\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the successive accumulated totals of elements in StyleBox[\"list\", \"TI\"]. ", + "Accuracy":"RowBox[{\"Accuracy\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the effective number of digits to the right of the decimal point in the number StyleBox[\"x\", \"TI\"]. ", + "AccuracyGoal":"AccuracyGoal is an option for various numerical operations which specifies how many effective digits of accuracy should be sought in the final result. ", + "ActionMenu":"RowBox[{\"ActionMenu\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an action menu with label StyleBox[\"name\", \"TI\"] and with items labeled SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] that evaluates the expression SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] if the corresponding item is chosen.", + "ActionMenuBoxOptions":"RowBox[{ActionMenuBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ActionMenuBox.", + "Activate":"RowBox[{\"Activate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces all instances of RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] in StyleBox[\"expr\", \"TI\"] with StyleBox[\"f\", \"TI\"].\nRowBox[{\"Activate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] replaces only instances of RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] for which StyleBox[\"f\", \"TI\"] matches the pattern StyleBox[\"patt\", \"TI\"].", + "Active":"Active is an option for ButtonBox, Cell, and Notebook that specifies whether a button should be active. ", + "ActiveClassification":"RowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of active classification obtained by using the function StyleBox[\"f\", \"TI\"] to determine classes for the example configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] generates configurations within the region specified by StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] generates configurations by applying the function StyleBox[\"sampler\", \"TI\"].\nRowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from one of the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ActiveClassificationObject":"RowBox[{\"ActiveClassificationObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of an ActiveClassification process.", + "ActivePrediction":"RowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of active prediction obtained by using the function StyleBox[\"f\", \"TI\"] to determine values for the example configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] generates configurations within the region specified by StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] generates configurations by applying the function StyleBox[\"sampler\", \"TI\"].\nRowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from one of the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ActivePredictionObject":"RowBox[{\"ActivePredictionObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of an ActivePrediction process.", + "ActiveStyle":"ActiveStyle is an option for Hyperlink and related constructs that specifies styles to add when the constructs are active, typically as a result of the mouse being over them. ", + "AcyclicGraphQ":"RowBox[{\"AcyclicGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is an acyclic graph and False otherwise.", + "AddOnHelpPath":"AddOnHelpPath is a global option that specifies which directories are searched for additional help files used within the help system.", + "AddSides":"RowBox[{\"AddSides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] adds StyleBox[\"x\", \"TI\"] to each side of the equation or inequality StyleBox[\"rel\", \"TI\"].\nRowBox[{\"AddSides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] adds the corresponding sides of two equations or inequalities.", + "AddTo":"RowBox[{StyleBox[\"x\", \"TI\"], \"+=\", StyleBox[\"dx\", \"TI\"]}] adds StyleBox[\"dx\", \"TI\"] to StyleBox[\"x\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", + "AddUsers":"RowBox[{\"AddUsers\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds the users SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"i\", \"TI\"]] to the permissions group StyleBox[\"group\", \"TI\"]. ", + "AdjacencyGraph":"RowBox[{\"AdjacencyGraph\", \"[\", StyleBox[\"amat\", \"TI\"], \"]\"}] gives the graph with adjacency matrix StyleBox[\"amat\", \"TI\"].\nRowBox[{\"AdjacencyGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"amat\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and adjacency matrix StyleBox[\"amat\", \"TI\"].", + "AdjacencyList":"RowBox[{\"AdjacencyList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a list of vertices adjacent to vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"AdjacencyList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of vertices adjacent to vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"AdjacencyList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives a list of vertices that are at distance at most StyleBox[\"d\", \"TI\"].\nRowBox[{\"AdjacencyList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "AdjacencyMatrix":"RowBox[{\"AdjacencyMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the vertex–vertex adjacency matrix of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"AdjacencyMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "AdjustmentBox":"RowBox[{AdjustmentBox, \"[\", RowBox[{StyleBox[\"box\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] is a low-level box construct which displays with the placement of StyleBox[\"box\", \"TI\"] adjusted using the options given. ", + "AdjustmentBoxOptions":"AdjustmentBoxOptions is an option that specifies settings for AdjustmentBox objects.", + "AdjustTimeSeriesForecast":"RowBox[{\"AdjustTimeSeriesForecast\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"forecast\", \"TI\"], \",\", StyleBox[\"newdata\", \"TI\"]}], \"]\"}] adjusts StyleBox[\"forecast\", \"TI\"] using new observations StyleBox[\"newdata\", \"TI\"] according to the time series model StyleBox[\"tproc\", \"TI\"].", + "AdministrativeDivisionData":"RowBox[{\"AdministrativeDivisionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the administrative division StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AdministrativeDivisionData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified administrative division names.\nRowBox[{\"AdministrativeDivisionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "AffineHalfSpace":"RowBox[{\"AffineHalfSpace\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"k\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents RowBox[{\"AffineSpace\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"k\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] extended in the direction StyleBox[\"w\", \"TI\"].\nRowBox[{\"AffineHalfSpace\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents RowBox[{\"AffineSpace\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] extended in the direction StyleBox[\"w\", \"TI\"].", + "AffineSpace":"RowBox[{\"AffineSpace\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"k\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] represents the affine space passing through the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AffineSpace\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the affine space passing through StyleBox[\"p\", \"TI\"] in the directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AffineStateSpaceModel":"RowBox[{\"AffineStateSpaceModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] represents the affine state-space model RowBox[{RowBox[{RowBox[{\"x\", \"'\"}], RowBox[{\"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \".\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}]}]}], RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"=\", RowBox[{RowBox[{\"c\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \"+\", RowBox[{RowBox[{\"d\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \".\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}]}]}].\nRowBox[{\"AffineStateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives an affine state-space model corresponding to the system model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"AffineStateSpaceModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the affine state-space model obtained by Taylor input linearization about the dependent variable SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] at SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]]] and input SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]] at SubscriptBox[SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]], StyleBox[\"0\", \"TR\"]] of the differential equations StyleBox[\"eqns\", \"TI\"] with outputs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] and independent variable StyleBox[\"t\", \"TI\"].", + "AffineTransform":"RowBox[{\"AffineTransform\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a TransformationFunction that represents an affine transform that maps StyleBox[\"r\", \"TI\"] to RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}]. \nRowBox[{\"AffineTransform\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives an affine transform that maps StyleBox[\"r\", \"TI\"] to RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"v\", \"TI\"]}].", + "After":"After is a symbol that represents the region after an object for purposes of placement.", + "AggregationLayer":"RowBox[{\"AggregationLayer\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents a layer that aggregates a tensor of arbitrary rank into a vector, using the function StyleBox[\"f\", \"TI\"].\nRowBox[{\"AggregationLayer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] aggregates a tensor at level StyleBox[\"n\", \"TI\"].\nRowBox[{\"AggregationLayer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] aggregates a tensor at levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"AggregationLayer\", \"[\", StyleBox[RowBox[{\"f\", \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"TI\"], \"]\"}] aggregates a tensor at levels RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].", + "AircraftData":"RowBox[{\"AircraftData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the aircraft StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AircraftData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified aircraft entities.\nRowBox[{\"AircraftData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "AirportData":"RowBox[{\"AirportData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the airport StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AirportData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified airport entities.\nRowBox[{\"AirportData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "AirPressureData":"RowBox[{\"AirPressureData\", \"[\", \"]\"}] gives the most recent measurement for air pressure near the current location.\nRowBox[{\"AirPressureData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the air pressure value for the specified time near the current location.\nRowBox[{\"AirPressureData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for air pressure near the specified locations.\nRowBox[{\"AirPressureData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"AirPressureData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", + "AirTemperatureData":"RowBox[{\"AirTemperatureData\", \"[\", \"]\"}] gives the most recent measurement for air temperature near the current location.\nRowBox[{\"AirTemperatureData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the air temperature value for the specified time near the current location.\nRowBox[{\"AirTemperatureData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for air temperature near the specified location.\nRowBox[{\"AirTemperatureData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"AirTemperatureData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", + "AiryAi":"RowBox[{\"AiryAi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Airy function RowBox[{\"Ai\", \"(\", \"z\", \")\"}]. ", + "AiryAiPrime":"RowBox[{\"AiryAiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Airy function RowBox[{SuperscriptBox[\"Ai\", \"′\"], \"(\", \"z\", \")\"}]. ", + "AiryAiZero":"RowBox[{\"AiryAiZero\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Airy function RowBox[{\"Ai\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"AiryAiZero\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero less than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "AiryBi":"RowBox[{\"AiryBi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Airy function RowBox[{\"Bi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "AiryBiPrime":"RowBox[{\"AiryBiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Airy function RowBox[{SuperscriptBox[\"Bi\", \"′\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "AiryBiZero":"RowBox[{\"AiryBiZero\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Airy function RowBox[{\"Bi\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"AiryBiZero\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero less than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "AlgebraicIntegerQ":"RowBox[{\"AlgebraicIntegerQ\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] yields True if StyleBox[\"a\", \"TI\"] is an algebraic integer, and yields False otherwise.", + "AlgebraicNumber":"RowBox[{\"AlgebraicNumber\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the algebraic number in the field RowBox[{\"\", \"[\", \"θ\", \"]\"}] given by RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], \"0\"], \"+\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], \"1\"], \"θ\"}], \" \", \"+\", \"…\", \"+\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SuperscriptBox[\"θ\", StyleBox[\"n\", \"TI\"]]}]}].", + "AlgebraicNumberDenominator":"RowBox[{\"AlgebraicNumberDenominator\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the smallest positive integer StyleBox[\"n\", \"TI\"] such that RowBox[{StyleBox[\"n\", \"TI\"], \" \", StyleBox[\"a\", \"TI\"]}] is an algebraic integer.", + "AlgebraicNumberNorm":"RowBox[{\"AlgebraicNumberNorm\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the norm of the algebraic number StyleBox[\"a\", \"TI\"].", + "AlgebraicNumberPolynomial":"RowBox[{\"AlgebraicNumberPolynomial\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the polynomial in StyleBox[\"x\", \"TI\"] corresponding to the AlgebraicNumber object StyleBox[\"a\", \"TI\"].", + "AlgebraicNumberTrace":"RowBox[{\"AlgebraicNumberTrace\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the trace of the algebraic number StyleBox[\"a\", \"TI\"].", + "AlgebraicRulesData":"AlgebraicRulesData is an object returned by AlgebraicRules. Its OutputForm appears to be a list of rules, but the rules will be used algebraically rather than syntactically by Replace and related functions.", + "Algebraics":"Algebraics represents the domain of algebraic numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Algebraics\"}]. ", + "AlgebraicUnitQ":"RowBox[{\"AlgebraicUnitQ\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] yields True if StyleBox[\"a\", \"TI\"] is an algebraic unit, and yields False otherwise.", + "Alignment":"Alignment is an option which specifies how the contents of a displayed object should be aligned within the available area in the object.", + "AlignmentPoint":"AlignmentPoint is an option which specifies how objects should by default be aligned when they appear in Inset.", + "All":"All is a setting used for certain options. In Part and related functions, All specifies all parts at a particular level. ", + "AllowedCloudExtraParameters":"AllowedCloudExtraParameters is an option for APIFunction and related functions that specifies whether parameters that affect overall cloud execution should be accepted.", + "AllowedCloudParameterExtensions":"AllowedCloudParameterExtensions is an option for APIFunction and related functions that specifies what extensions to allow for API or other input parameters.", + "AllowedDimensions":"AllowedDimensions is an option for Grid and related functions that specifies the allowed minimum and maximum dimensions of the Grid under interactive editing.", + "AllowGroupClose":"AllowGroupClose is an option for Cell that specifies whether a cell group can be closed normally.", + "AllowInlineCells":"AllowInlineCells is an option for SelectedCells, Cell, and related constructs that specifies whether inline cells are permitted.", + "AllowLooseGrammar":"AllowLooseGrammar is an option for GrammarRules and related functions that specifies whether grammatical \"fluff\" should automatically be ignored in applying grammar rules.", + "AllowReverseGroupClose":"AllowReverseGroupClose is an option for Cell that specifies whether a cell group can be reverse closed.", + "AllowScriptLevelChange":"AllowScriptLevelChange is an option for fractions and grids that controls whether certain operators, such as ∑, ∏, and ∫, always appear smaller than normal size.", + "AllTrue":"RowBox[{\"AllTrue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] yields True if RowBox[{StyleBox[\"test\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True for all of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AllTrue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] tests parts of StyleBox[\"expr\", \"TI\"] at level StyleBox[\"level\", \"TI\"].\nRowBox[{\"AllTrue\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents an operator form of AllTrue that can be applied to an expression.", + "Alphabet":"RowBox[{\"Alphabet\", \"[\", \"]\"}] gives a list of the lowercase letters a through z in the English alphabet.\nRowBox[{\"Alphabet\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] gives the alphabet for the language or class StyleBox[\"type\", \"TI\"].\nRowBox[{\"Alphabet\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the alphabet defined by StyleBox[\"prop\", \"TI\"] for the language or class StyleBox[RowBox[{\"type\", \" \"}], \"TI\"].", + "AlphabeticOrder":"RowBox[{\"AlphabeticOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives 1 if \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"1\", \"TR\"]]\" appears before \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"2\", \"TR\"]]\" in alphabetical order, -1 if it is after, and 0 if it is identical. \nRowBox[{\"AlphabeticOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] uses an ordering suitable for the language StyleBox[\"lang\", \"TI\"].\nRowBox[{\"AlphabeticOrder\", \"[\", StyleBox[\"lang\", \"TI\"], \"]\"}] represents an operator form that compares strings when applied to \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"1\", \"TR\"]]\", \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"2\", \"TR\"]]\".", + "AlphabeticSort":"RowBox[{\"AlphabeticSort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into alphabetical order.\nRowBox[{\"AlphabeticSort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] sorts using an ordering suitable for the language StyleBox[\"lang\", \"TI\"].", + "AlphaChannel":"RowBox[{\"AlphaChannel\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns the alpha channel of StyleBox[\"image\", \"TI\"].", + "AlternateImage":"AlternateImage is an option to CDFInformation that specifies an image that should be used if the plugin is not available.", + "AlternatingFactorial":"RowBox[{\"AlternatingFactorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the alternating factorial RowBox[{StyleBox[\"a\", \"TI\"], \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", + "AlternatingGroup":"RowBox[{\"AlternatingGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the alternating group of degree StyleBox[\"n\", \"TI\"].", + "AlternativeHypothesis":"AlternativeHypothesis is an option for hypothesis testing functions like LocationTest that specifies the alternative hypothesis.", + "Alternatives":"RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"]}] is a pattern object that represents any of the patterns SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "AltitudeMethod":"AltitudeMethod is an option for SunPosition, MoonPosition, and related functions that determines whether to take atmospheric refraction into account when computing altitude.", + "AmbientLight":"AmbientLight is an option for Graphics3D and related functions that gives the level of simulated ambient illumination in a three-dimensional picture. ", + "AmbiguityFunction":"AmbiguityFunction is an option for SemanticInterpretation, Interpreter, and related functions that specifies how to resolve ambiguities generated during semantic interpretation.", + "AmbiguityList":"RowBox[{\"AmbiguityList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents possible results derived from an ambiguous semantic interpretation.\nRowBox[{\"AmbiguityList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents possible results from semantic interpretation of an input string.\nRowBox[{\"AmbiguityList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes a sequence of associations giving details of the interpretations used to obtain the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Analytic":"Analytic is an option for Limit and Series. With RowBox[{\"Analytic\", \" \", \"->\", \" \", \"True\"}], unrecognized functions are treated as analytic, and processed using Taylor series expansions; with RowBox[{\"Analytic\", \" \", \"->\", \" \", \"False\"}], Taylor series are not used unless the function is recognized as analytic.", + "AnatomyData":"RowBox[{\"AnatomyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the anatomical structure StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AnatomyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified anatomical structure entities.\nRowBox[{\"AnatomyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "AnatomyForm":"RowBox[{\"AnatomyForm\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] is a graphics directive used in AnatomyPlot3D that specifies how anatomy entity‐based graphics objects are to be drawn using the graphics directive or association of directives StyleBox[\"g\", \"TI\"].", + "AnatomyPlot3D":"RowBox[{\"AnatomyPlot3D\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a three-dimensional graphical image that works with anatomical entities as well as standard 3D graphics primitives and directives.", + "AnchoredSearch":"AnchoredSearch is an option for Find and FindList that specifies whether the text searched for must be at the beginning of a record. ", + "And":"RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"&&\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"&&\", StyleBox[\"…\", \"TR\"]}] is the logical AND function. It evaluates its arguments in order, giving False immediately if any of them are False, and True if they are all True. ", + "AndersonDarlingTest":"RowBox[{\"AndersonDarlingTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Anderson–Darling test.\nRowBox[{\"AndersonDarlingTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Anderson–Darling test.\nRowBox[{\"AndersonDarlingTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "AngerJ":"RowBox[{\"AngerJ\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Anger function SubscriptBox[StyleBox[\"J\", \"TI\"], StyleBox[\"v\", \"TI\"]]RowBox[{\"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"AngerJ\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the associated Anger function RowBox[{SubsuperscriptBox[StyleBox[\"J\", \"TI\"], \"ν\", \"μ\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "AngleBracket":"RowBox[{\"AngleBracket\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"〈\", RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"〉\"}].", + "AnglePath":"RowBox[{\"AnglePath\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the list of 2D coordinates corresponding to a path that starts at RowBox[{\"{\", RowBox[{\"0\", \",\", \"0\"}], \"}\"}], then takes a series of steps of unit length at successive relative angles SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnglePath\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes successive steps of lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnglePath\", \"[\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts at angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]] with respect to the x axis.\nRowBox[{\"AnglePath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts at the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] with initial angle 0 with respect to the x axis.\nRowBox[{\"AnglePath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] with initial angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]] with respect to the x axis.\nRowBox[{\"AnglePath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the first step to go from RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"+\", StyleBox[\"dx\", \"TI\"]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"+\", StyleBox[\"dy\", \"TI\"]}]}], \"}\"}].\nRowBox[{\"AnglePath\", \"[\", RowBox[{StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns at each step the data of the form specified by StyleBox[\"form\", \"TI\"].", + "AnglePath3D":"RowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the list of 3D coordinates of a path of an object that starts at RowBox[{\"{\", RowBox[{\"0\", \",\", \"0\", \",\", \"0\"}], \"}\"}], then takes a series of steps of unit length, each in the direction of the x axis obtained after successive rotation of the object by the Euler angles SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] assumes the Euler angles SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"i\", \"TI\"]] to be 0.\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"mat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"mat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes the successive rotations to be specified by the 3D rotation matrices SubscriptBox[StyleBox[\"mat\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes successive steps of length SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] with Euler angles or rotation matrices specified by SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"]}], \"]\"}] starts at the point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{RowBox[{\"{\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"]}], \"]\"}] starts in the x axis direction specified by rotating the object according to Euler angles or rotation matrix SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"]}], \"]\"}] starts at point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}] with the x axis direction specified by SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns at each step the data of the form specified by StyleBox[\"form\", \"TI\"].", + "AngleVector":"RowBox[{\"AngleVector\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives the list representing the 2D unit vector at angle StyleBox[\"θ\", \"TR\"] relative to the StyleBox[\"x\", \"TI\"] axis.\nRowBox[{\"AngleVector\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}], \"]\"}] gives the list representing the 2D vector of length StyleBox[\"r\", \"TI\"] at angle StyleBox[\"θ\", \"TR\"].\nRowBox[{\"AngleVector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] gives the result of starting from the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], then going a unit distance at angle StyleBox[\"θ\", \"TR\"].\nRowBox[{\"AngleVector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the result of starting from the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], then going distance StyleBox[\"r\", \"TI\"] at angle StyleBox[\"θ\", \"TR\"].", + "AngularGauge":"RowBox[{\"AngularGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a gauge showing StyleBox[\"value\", \"TI\"] in the range 0 to 1.\nRowBox[{\"AngularGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a gauge showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"AngularGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the gauge.\nRowBox[{\"AngularGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a gauge showing multiple values.", + "Animate":"RowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates an animation of StyleBox[\"expr\", \"TI\"] in which StyleBox[\"u\", \"TI\"] varies continuously from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] takes StyleBox[\"u\", \"TI\"] to vary in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] take on discrete values SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] varies all the variables StyleBox[\"u\", \"TI\"], StyleBox[\"v\", \"TI\"], …. ", + "AnimationCycleOffset":"AnimationCycleOffset is an option for cells that specifies the relative position of the next graphic to be used in an animation sequence.", + "AnimationCycleRepetitions":"AnimationCycleRepetitions is an option for cells that specifies the number of times a given animation cycle should be repeated.", + "AnimationDirection":"AnimationDirection is an option which specifies the direction to run an animation. ", + "AnimationDisplayTime":"AnimationDisplayTime is an option for Cell that specifies the minimum time in seconds for which a cell should be displayed in the course of an animation that runs through a sequence of selected cells. ", + "AnimationRate":"AnimationRate is an option for Animate and Animator that specifies at what rate an animation should run, in units per second. ", + "AnimationRepetitions":"AnimationRepetitions is an option to Animate and related functions that specifies how many times the animation they create runs before stopping.", + "AnimationRunning":"AnimationRunning is an option to Animate and related functions that specifies whether the animation they create is running.", + "AnimationRunTime":"AnimationRunTime is an option to Animator and related functions that indicates how long the animation has been continuously running.", + "AnimationTimeIndex":"AnimationTimeIndex is an option to Animator and related functions that specifies the current time index for the animator.", + "Animator":"RowBox[{\"Animator\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}] represents an object that displays with the value of StyleBox[\"u\", \"TI\"] being continually increased from 0 to 1 with time. \nRowBox[{\"Animator\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Animator\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"Animator\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"ups\", \"TI\"]}], \"]\"}] makes the value of StyleBox[\"u\", \"TI\"] increase at a rate of StyleBox[\"ups\", \"TI\"] units per second. ", + "AnimatorBoxOptions":"RowBox[{AnimatorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for AnimatorBox objects.", + "Annotation":"RowBox[{\"Annotation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents an expression StyleBox[\"expr\", \"TI\"], with annotation StyleBox[\"data\", \"TI\"].\nRowBox[{\"Annotation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] specifies the type of annotation being given.", + "Annuity":"RowBox[{\"Annuity\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an annuity of fixed payments StyleBox[\"p\", \"TI\"] made over StyleBox[\"t\", \"TI\"] periods.\nRowBox[{\"Annuity\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] represents a series of payments occurring at time intervals StyleBox[\"q\", \"TI\"].\nRowBox[{\"Annuity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"initial\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"final\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents an annuity with the specified initial and final payments.", + "AnnuityDue":"RowBox[{\"AnnuityDue\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an annuity due of fixed payments StyleBox[\"p\", \"TI\"] made over StyleBox[\"t\", \"TI\"] periods.\nRowBox[{\"AnnuityDue\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] represents a series of payments occurring at time intervals StyleBox[\"q\", \"TI\"].\nRowBox[{\"AnnuityDue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"initial\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"final\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents an annuity due with the specified initial and final payments.", + "Annulus":"RowBox[{\"Annulus\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an annulus centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] with inner radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]] and outer radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]].\nRowBox[{\"Annulus\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents an annulus from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "Anonymous":"Anonymous represents an option or other value that indicates the absence of a name.", + "Antialiasing":"Antialiasing is an option that specifies whether antialiasing should be done.", + "AntihermitianMatrixQ":"RowBox[{\"AntihermitianMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly antihermitian, and False otherwise.", + "Antisymmetric":"RowBox[{\"Antisymmetric\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the symmetry of a tensor that is antisymmetric in the slots SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AntisymmetricMatrixQ":"RowBox[{\"AntisymmetricMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly antisymmetric, and False otherwise.", + "AnyOrder":"RowBox[{\"AnyOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a grammar rules pattern object that represents a sequence of elements matching SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in any order.", + "AnySubset":"RowBox[{\"AnySubset\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an element in an interpreter or form that accepts any subset of the choices SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnySubset\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lab\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lab\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] accepts any subset of the SubscriptBox[StyleBox[\"lab\", \"TI\"], StyleBox[\"i\", \"TI\"]], yielding the corresponding SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] as results.\nRowBox[{\"AnySubset\", \"[\", RowBox[{\"EntityClass\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}], \"]\"}] accepts any subset of the entities in the specified entity class.\nRowBox[{\"AnySubset\", \"[\", RowBox[{StyleBox[\"choices\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] allows at most StyleBox[\"max\", \"TI\"] choices to be selected.\nRowBox[{\"AnySubset\", \"[\", RowBox[{StyleBox[\"choices\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]}], \"]\"}] allows at least StyleBox[\"min\", \"TI\"] and at most StyleBox[\"max\", \"TI\"] choices to be selected.", + "AnyTrue":"RowBox[{\"AnyTrue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] yields True if RowBox[{StyleBox[\"test\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True for any of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AnyTrue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] tests parts of StyleBox[\"expr\", \"TI\"] at level StyleBox[\"level\", \"TI\"].\nRowBox[{\"AnyTrue\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents an operator form of AnyTrue that can be applied to an expression.", + "Apart":"RowBox[{\"Apart\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] rewrites a rational expression as a sum of terms with minimal denominators. \nRowBox[{\"Apart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] treats all variables other than StyleBox[\"var\", \"TI\"] as constants. ", + "ApartSquareFree":"RowBox[{\"ApartSquareFree\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] rewrites a rational expression as a sum of terms whose denominators are powers of square-free polynomials. \nRowBox[{\"ApartSquareFree\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] treats all variables other than StyleBox[\"var\", \"TI\"] as constants. ", + "APIFunction":"RowBox[{\"APIFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] represents an API with parameters SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] that evaluates the function StyleBox[\"fun\", \"TI\"] whenever it is called. The function StyleBox[\"fun\", \"TI\"] is applied to RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], where the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the settings for the parameters, interpreted as being of types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"APIFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] takes the value of the parameter SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] to be SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"i\", \"TI\"]] if it is not specified when the API is called.\nRowBox[{\"APIFunction\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that the result from applying StyleBox[\"fun\", \"TI\"] should be returned in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"APIFunction\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the result should be returned as a response of the form StyleBox[\"rform\", \"TI\"].\nRowBox[{\"APIFunction\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"], \",\", StyleBox[\"failfmt\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that in the event of failure, the result should be returned in format StyleBox[\"failfmt\", \"TI\"].", + "Appearance":"Appearance is an option for displayed objects such as Button and Slider that specifies the general type of appearance they should have. ", + "AppearanceElements":"AppearanceElements is an option for functions like Manipulate that specifies what elements should be included in the displayed form of the object generated.", + "AppearanceRules":"AppearanceRules is an option for form and page generation functions that specifies the overall appearance of the generated object.", + "AppellF1":"RowBox[{\"AppellF1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the Appell hypergeometric function of two variables RowBox[{SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"2\"], \";\", StyleBox[\"c\", \"TI\"], \";\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \")\"}]}]. ", + "Append":"RowBox[{\"Append\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with StyleBox[\"elem\", \"TI\"] appended. \nRowBox[{\"Append\", \"[\", StyleBox[\"elem\", \"TI\"], \"]\"}] represents an operator form of Append that can be applied to an expression.", + "AppendLayer":"RowBox[{\"AppendLayer\", \"[\", \"]\"}] represents a net layer that takes an input tensor and appends another tensor to it.", + "AppendTo":"RowBox[{\"AppendTo\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] appends StyleBox[\"elem\", \"TI\"] to the value of StyleBox[\"s\", \"TI\"], and resets StyleBox[\"s\", \"TI\"] to the result. ", + "Apply":"RowBox[{\"Apply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"@@\", StyleBox[\"expr\", \"TI\"]}] replaces the head of StyleBox[\"expr\", \"TI\"] by StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Apply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", \"1\", \"}\"}]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"@@@\", StyleBox[\"expr\", \"TI\"]}] replaces heads at level 1 of StyleBox[\"expr\", \"TI\"] by StyleBox[\"f\", \"TI\"].\nRowBox[{\"Apply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] replaces heads in parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Apply\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Apply that can be applied to an expression.", + "ApplySides":"RowBox[{\"ApplySides\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"rel\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to each side of the equation or inequality StyleBox[\"rel\", \"TI\"].", + "ArcCos":"RowBox[{\"ArcCos\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc cosine RowBox[{SuperscriptBox[\"cos\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", + "ArcCosh":"RowBox[{\"ArcCosh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic cosine RowBox[{SuperscriptBox[\"cosh\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", + "ArcCot":"RowBox[{\"ArcCot\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc cotangent RowBox[{SuperscriptBox[\"cot\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", + "ArcCoth":"RowBox[{\"ArcCoth\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic cotangent RowBox[{SuperscriptBox[\"coth\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", + "ArcCsc":"RowBox[{\"ArcCsc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc cosecant RowBox[{SuperscriptBox[\"csc\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", + "ArcCsch":"RowBox[{\"ArcCsch\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic cosecant RowBox[{SuperscriptBox[\"csch\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", + "ArcCurvature":"RowBox[{\"ArcCurvature\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the curvature of the parametrized curve whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"t\", \"TI\"].\nRowBox[{\"ArcCurvature\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", + "ARCHProcess":"RowBox[{\"ARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an autoregressive conditionally heteroscedastic process of order StyleBox[\"q\", \"TI\"], driven by a standard white noise.\nRowBox[{\"ARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an ARCH process with initial data StyleBox[\"init\", \"TI\"].", + "ArcLength":"RowBox[{\"ArcLength\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the length of the one-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ArcLength\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the length of the parametrized curve whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"t\", \"TI\"].\nRowBox[{\"ArcLength\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", + "ArcSec":"RowBox[{\"ArcSec\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc secant RowBox[{SuperscriptBox[\"sec\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", + "ArcSech":"RowBox[{\"ArcSech\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic secant RowBox[{SuperscriptBox[\"sech\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", + "ArcSin":"RowBox[{\"ArcSin\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc sine RowBox[{SuperscriptBox[\"sin\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", + "ArcSinDistribution":"RowBox[{\"ArcSinDistribution\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"TI\"]}], \"}\"}], \"]\"}] represents the arc sine distribution supported between StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"TI\"] and StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"TI\"].\nRowBox[{\"ArcSinDistribution\", \"[\", \"]\"}] represents the arc sine distribution supported between zero and one.", + "ArcSinh":"RowBox[{\"ArcSinh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic sine RowBox[{SuperscriptBox[\"sinh\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", + "ArcTan":"RowBox[{\"ArcTan\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc tangent RowBox[{SuperscriptBox[\"tan\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. \nRowBox[{\"ArcTan\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the arc tangent of FractionBox[StyleBox[\"y\", \"TI\"], StyleBox[\"x\", \"TI\"]], taking into account which quadrant the point RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \")\"}] is in. ", + "ArcTanh":"RowBox[{\"ArcTanh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic tangent RowBox[{SuperscriptBox[\"tanh\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", + "Area":"RowBox[{\"Area\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the area of the two-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Area\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the area of the parametrized surface whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"].\nRowBox[{\"Area\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", + "Arg":"RowBox[{\"Arg\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the argument of the complex number StyleBox[\"z\", \"TI\"]. ", + "ArgMax":"RowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is maximized.\nRowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is maximized.\nRowBox[{\"ArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is maximized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", + "ArgMin":"RowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is minimized.\nRowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is minimized.\nRowBox[{\"ArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is minimized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", + "ArgumentCountQ":"RowBox[{\"ArgumentCountQ\", \"[\", RowBox[{StyleBox[\"head\", \"TI\"], \",\", \" \", StyleBox[\"len\", \"TI\"], \",\", \" \", StyleBox[\"min\", \"TI\"], \",\", \" \", StyleBox[\"max\", \"TI\"]}], \"]\"}] tests whether the number StyleBox[\"len\", \"TI\"] of arguments of a function StyleBox[\"head\", \"TI\"] is between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"].\nRowBox[{\"ArgumentCountQ\", \"[\", RowBox[{StyleBox[\"head\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"TR\"], SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TR\"]]}], \"}\"}]}], \"]\"}] tests whether the number StyleBox[\"len\", \"TI\"] of arguments of a function StyleBox[\"head\", \"TI\"] is one of the SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ARIMAProcess":"RowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents an autoregressive integrated moving-average process RowBox[{\"y\", \"(\", \"t\", \")\"}] such that its StyleBox[\"d\", \"TI\"]SuperscriptBox[\"\", \"th\"] difference is a weakly stationary RowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}].\nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector ARIMA process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector weakly stationary ARMAProcess.\nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector ARIMA process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector weakly stationary ARMAProcess.\nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an ARIMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an ARIMA process with a constant StyleBox[\"c\", \"TI\"].", + "ArithmeticGeometricMean":"RowBox[{\"ArithmeticGeometricMean\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the arithmetic‐geometric mean of StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. ", + "ARMAProcess":"RowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a weakly stationary autoregressive moving-average process with AR coefficients SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], MA coefficients SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]], and normal white noise variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a weakly stationary vector ARMA process with coefficient matrices SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]] and covariance matrix StyleBox[\"Σ\", \"TR\"]. \nRowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an ARMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"ARMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an ARMA process with a constant StyleBox[\"c\", \"TI\"].", + "ARProcess":"RowBox[{\"ARProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a weakly stationary autoregressive process of order StyleBox[\"p\", \"TI\"] with normal white noise variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"ARProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a weakly stationary vector AR process with multinormal white noise covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"ARProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an AR process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"ARProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"]\", \"TR\"]}] represents an AR process with a constant StyleBox[\"c\", \"TI\"].", + "Array":"RowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of length StyleBox[\"n\", \"TI\"], with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}]. \nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] generates a list using the index origin StyleBox[\"r\", \"TI\"].\nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] generates a list using StyleBox[\"n\", \"TI\"] values from StyleBox[\"a\", \"TI\"] to StyleBox[\"b\", \"TI\"].\nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of nested lists, with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]. \nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a list using the index origins SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] (default 1). \nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a list using SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] values from SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"origin\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] uses head StyleBox[\"h\", \"TI\"], rather than List, for each level of the array. ", + "ArrayComponents":"RowBox[{\"ArrayComponents\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] gives an array in which all identical elements of StyleBox[\"array\", \"TI\"] are replaced by an integer index representing the component in which the element lies.\nRowBox[{\"ArrayComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] finds the identical elements at the specified level in StyleBox[\"array\", \"TI\"]\nRowBox[{\"ArrayComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] uses a rule or a list of rules for specifying the labels.", + "ArrayDepth":"RowBox[{\"ArrayDepth\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the depth to which StyleBox[\"expr\", \"TI\"] is a full array, with all the parts at a particular level being lists of the same length, or is a SparseArray object. ", + "ArrayFilter":"RowBox[{\"ArrayFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to all range-StyleBox[\"r\", \"TI\"] blocks in the specified array.\nRowBox[{\"ArrayFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to blocks with ranges SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{\"ArrayFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"template\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] over blocks specified by the position of 1s in the array StyleBox[\"template\", \"TI\"].", + "ArrayFlatten":"RowBox[{\"ArrayFlatten\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a single flattened matrix from a matrix of matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[RowBox[{\"i\", \"\", \"j\"}], \"TI\"]]. \nRowBox[{\"ArrayFlatten\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] flattens out StyleBox[\"r\", \"TI\"] pairs of levels in the array StyleBox[\"a\", \"TI\"].", + "ArrayMesh":"RowBox[{\"ArrayMesh\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a mesh region from an array of rank StyleBox[\"d\", \"TI\"] in which each cell has a geometric dimension StyleBox[\"d\", \"TI\"] and represents a nonzero value of the array.", + "ArrayPad":"RowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives an array with StyleBox[\"m\", \"TI\"] 0s of padding on every side. \nRowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] uses the specified padding.\nRowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads with StyleBox[\"m\", \"TI\"] elements at the beginning and StyleBox[\"n\", \"TI\"] elements at the end. \nRowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads with SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements at level StyleBox[\"i\", \"TI\"] in StyleBox[\"array\", \"TI\"]. ", + "ArrayPlot":"RowBox[{\"ArrayPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a plot in which the values in an array are shown in a discrete array of squares. ", + "ArrayQ":"RowBox[{\"ArrayQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a full array or a SparseArray object, and gives False otherwise. \nRowBox[{\"ArrayQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] requires StyleBox[\"expr\", \"TI\"] to be a full array with a depth that matches the pattern StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"ArrayQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] requires also that StyleBox[\"test\", \"TI\"] yield True when applied to each of the array elements in StyleBox[\"expr\", \"TI\"]. ", + "ArrayResample":"RowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resamples StyleBox[\"array\", \"TI\"] to have dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"dspec\", \"TI\"]}], \"]\"}] resamples StyleBox[\"array\", \"TI\"] according to the dimension specification StyleBox[\"dspec\", \"TI\"].\nRowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"scheme\", \"TI\"]}], \"]\"}] specifies resampling StyleBox[\"scheme\", \"TI\"], either point or bin based. \nRowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"scheme\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resamples only the data in the specified subrange RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "ArrayReshape":"RowBox[{\"ArrayReshape\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"]}], \"]\"}] arranges the elements of StyleBox[\"list\", \"TI\"] into a rectangular array with dimensions StyleBox[\"dims\", \"TI\"].\nRowBox[{\"ArrayReshape\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] uses the specified padding if StyleBox[\"list\", \"TI\"] does not contain enough elements.", + "ArrayRules":"RowBox[{\"ArrayRules\", \"[\", RowBox[{\"SparseArray\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] gives the rules RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] specifying elements in a sparse array. \nRowBox[{\"ArrayRules\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives rules for RowBox[{\"SparseArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]. ", + "Arrays":"RowBox[{\"Arrays\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \"]\"}] represents the domain of arrays of rank StyleBox[\"r\", \"TI\"] and dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Arrays\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] represents the domain of arrays of dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]], with components in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"Arrays\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] represents the subdomain of arrays with dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]] and symmetry StyleBox[\"sym\", \"TI\"].", + "Arrow":"RowBox[{\"Arrow\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] is a graphics primitive that represents an arrow from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Arrow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents an arrow with its ends set back from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]] by a distance StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Arrow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] sets back by SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]] from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"Arrow\", \"[\", RowBox[{StyleBox[\"curve\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an arrow following the specified StyleBox[\"curve\", \"TI\"].", + "Arrowheads":"RowBox[{\"Arrowheads\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] is a graphics directive specifying that arrows that follow should have arrowheads with sizes, positions, and forms specified by StyleBox[\"spec\", \"TI\"]. ", + "ASATriangle":"RowBox[{\"ASATriangle\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] returns a filled triangle with angles StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and side length StyleBox[\"c\", \"TI\"], and StyleBox[\"c\", \"TI\"] is adjacent to both angles.", + "Ask":"RowBox[{\"Ask\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that gives the value associated with StyleBox[\"key\", \"TI\"], or interactively asks for it if it is not already known. \nRowBox[{\"Ask\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"formspec\", \"TI\"]}], \"]\"}] uses StyleBox[\"formspec\", \"TI\"] to define how input should be requested and interpreted.\nRowBox[{\"Ask\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the values associated with all the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]], interactively asking for any that are needed.\nRowBox[{\"Ask\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses the SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"i\", \"TI\"]] to define how input for the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] should be requested and interpreted. ", + "AskAppend":"RowBox[{\"AskAppend\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that asks for a new value, appends it to the current value associated with \"StyleBox[\"key\", \"TI\"]\", and returns the resulting list.\nRowBox[{\"AskAppend\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"formspec\", \"TI\"]}], \"]\"}] uses StyleBox[\"formspec\", \"TI\"] to define how input should be requested and interpreted.", + "AskConfirm":"RowBox[{\"AskConfirm\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that asks for confirmation of the current value associated with \"StyleBox[\"key\", \"TI\"]\" and allows this to be either confirmed or changed.\nRowBox[{\"AskConfirm\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"fun\", \"TI\"] to determine how to ask for confirmation. \nRowBox[{\"AskConfirm\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"str\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] applies the string \"StyleBox[\"str\", \"TI\"]\" as a string template to ask for confirmation.", + "AskDisplay":"RowBox[{\"AskDisplay\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a construct for use inside AskFunction that displays the result of evaluating StyleBox[\"expr\", \"TI\"] in the context of the AskFunction.", + "AskedQ":"RowBox[{\"AskedQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that gives True if a value is currently associated with StyleBox[\"key\", \"TI\"], and False otherwise.", + "AskedValue":"RowBox[{\"AskedValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that gives the value associated with StyleBox[\"key\", \"TI\"], or RowBox[{\"Missing\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] if none has been provided.", + "AskFunction":"RowBox[{\"AskFunction\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] evaluates StyleBox[\"body\", \"TI\"], interactively asking for values specified by RowBox[{\"Ask\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] and related constructs. \nRowBox[{\"AskFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] specifies how values associated with the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] should be asked for.", + "AskState":"RowBox[{\"AskState\", \"[\", \"]\"}] is a construct for use inside AskFunction that returns an association of all values in the current state of the AskFunction.", + "AskTemplateDisplay":"RowBox[{\"AskTemplateDisplay\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] is a construct for use inside AskFunction that displays the result of applying StyleBox[\"fun\", \"TI\"] to the association of the values of all keys encountered so far in the evaluation of the AskFunction.\nRowBox[{\"AskTemplateDisplay\", \"[\", \"StyleBox[str, TI]StyleBox[\", TI], \"]\"}] applies \"\nStyleBox[\"str\", \"TI\"]\" as a string template to the association of values. ", + "AspectRatio":"AspectRatio is an option for Graphics and related functions that specifies the ratio of height to width for a plot. ", + "AspectRatioFixed":"AspectRatioFixed is an option for Cell that specifies whether graphics in the cell should be constrained to stay the same shape when they are interactively resized using the front end. ", + "Assert":"RowBox[{\"Assert\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents the assertion that StyleBox[\"test\", \"TI\"] is True. If assertions have been enabled, StyleBox[\"test\", \"TI\"] is evaluated when the assertion is encountered. If StyleBox[\"test\", \"TI\"] is not True, then an assertion failure is generated.\nRowBox[{\"Assert\", \"[\", RowBox[{StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] specifies a tag that will be used to identify the assertion if it fails.", + "AssociateTo":"RowBox[{\"AssociateTo\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{StyleBox[\"key\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] changes the association StyleBox[\"a\", \"TI\"] by adding the key-value pair RowBox[{StyleBox[\"key\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}].\nRowBox[{\"AssociateTo\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds all key-value pairs RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", + "Association":"RowBox[{\"Association\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] or RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}] represents an association between keys and values.", + "AssociationFormat":"AssociationFormat is an option to TextString and related functions that determines how associations are formatted.", + "AssociationMap":"RowBox[{\"AssociationMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates the association RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"AssociationMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] creates the association RowBox[{\"\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"AssociationMap\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of AssociationMap that can be applied to an expression.", + "AssociationQ":"RowBox[{\"AssociationQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a valid Association object, and False otherwise.", + "AssociationThread":"RowBox[{\"AssociationThread\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the association RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"AssociationThread\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also gives the association RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].", + "AssumeDeterministic":"AssumeDeterministic is an option for functions such as BayesianMinimization that specifies whether or not the function being considered should be assumed to be deterministic.", + "Assuming":"RowBox[{\"Assuming\", \"[\", RowBox[{StyleBox[\"assum\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with StyleBox[\"assum\", \"TI\"] appended to $Assumptions, so that StyleBox[\"assum\", \"TI\"] is included in the default assumptions used by functions such as Refine, Simplify, and Integrate. ", + "Assumptions":"Assumptions is an option for functions such as Simplify, Refine, and Integrate that specifies default assumptions to be made about symbolic quantities. ", + "AstronomicalData":"RowBox[{\"AstronomicalData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property of the astronomical object with the specified name.\nRowBox[{\"AstronomicalData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the value of a property at a particular date and time.", + "AsymptoticDSolveValue":"RowBox[{\"AsymptoticDSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation to the differential equation StyleBox[\"eqn\", \"TI\"] for RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] centered at SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"AsymptoticDSolveValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation to a system of differential equations.\nRowBox[{\"AsymptoticDSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ϵ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ϵ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"ϵ\", \"TR\"]}], \"]\"}] for the parameter StyleBox[\"ϵ\", \"TR\"] centered at SubscriptBox[StyleBox[\"ϵ\", \"TR\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].", + "AsymptoticEqual":"RowBox[{\"AsymptoticEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"≍\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"Θ\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"≍\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"Θ\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", + "AsymptoticEquivalent":"RowBox[{\"AsymptoticEquivalent\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∼\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticEquivalent\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \" \", \"~\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", + "AsymptoticGreater":"RowBox[{\"AsymptoticGreater\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"≻\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"ω\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticGreater\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"≻\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"ω\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", + "AsymptoticGreaterEqual":"RowBox[{\"AsymptoticGreaterEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"⪰\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"Ω\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticGreaterEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"⪰\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"Ω\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", + "AsymptoticIntegrate":"RowBox[{\"AsymptoticIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation of the indefinite integral RowBox[{\"∫\", RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], RowBox[{\"\", \"x\"}]}]}] for StyleBox[\"x\", \"TI\"] centered at SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].\nRowBox[{RowBox[{\"AsymptoticIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}], \"]\"}] computes an asymptotic approximation of the definite integral RowBox[{SubsuperscriptBox[\"∫\", RowBox[{\"a\", \"(\", \"α\", \")\"}], RowBox[{\"b\", \"(\", \"α\", \")\"}]], RowBox[{RowBox[{\"f\", \"(\", RowBox[{\"x\", \",\", \"α\"}], \")\"}], RowBox[{\"\", \"x\"}]}]}] for StyleBox[\"α\", \"TR\"] centered at SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].", + "AsymptoticLess":"RowBox[{\"AsymptoticLess\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"≺\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"o\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticLess\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"≺\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"o\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", + "AsymptoticLessEqual":"RowBox[{\"AsymptoticLessEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"⪯\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"O\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticLessEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"⪯\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"O\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", + "AsymptoticOutputTracker":"RowBox[{\"AsymptoticOutputTracker\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the state feedback control law that causes the outputs of the affine system StyleBox[\"sys\", \"TI\"] to track the reference signals SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with decay rates SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"AsymptoticOutputTracker\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] and control inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]] to use. ", + "Asynchronous":"Asynchronous is an option for WolframAlpha that determines whether to use the asynchronous features of the Wolfram|Alpha API.", + "AsynchronousTaskObject":"RowBox[{\"AsynchronousTaskObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"id\", \"TI\"], \",\", StyleBox[\"sessionid\", \"TI\"]}], \"]\"}] is an object that represents asynchronous evaluations from a particular asynchronous task.", + "AsynchronousTasks":"RowBox[{\"AsynchronousTasks\", \"[\", \"]\"}] returns a list of running asynchronous tasks.", + "AtomQ":"RowBox[{\"AtomQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is an expression which cannot be divided into subexpressions, and yields False otherwise. ", + "Attributes":"RowBox[{\"Attributes\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the list of attributes for a symbol. ", + "Audio":"RowBox[{\"Audio\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] represents audio stored in the given file.\nRowBox[{\"Audio\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] represents audio stored in the given URL.\nRowBox[{\"Audio\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents audio with samples given by the array StyleBox[\"data\", \"TI\"].", + "AudioAmplify":"RowBox[{\"AudioAmplify\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] multiplies all samples of StyleBox[\"audio\", \"TI\"] by a factor StyleBox[\"s\", \"TI\"]. ", + "AudioBlockMap":"RowBox[{\"AudioBlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"dur\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to non-overlapping partitions of length StyleBox[\"dur\", \"TI\"] in StyleBox[\"audio\", \"TI\"]. \nRowBox[{\"AudioBlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dur\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to partitions with offset StyleBox[\"offset\", \"TI\"] in StyleBox[\"audio\", \"TI\"]. \nRowBox[{\"AudioBlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dur\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] after applying StyleBox[\"wfun\", \"TI\"] to partitions in StyleBox[\"audio\", \"TI\"]. ", + "AudioCapture":"RowBox[{\"AudioCapture\", \"[\", \"]\"}] creates a temporary interactive interface for capturing an audio signal.\nRowBox[{\"AudioCapture\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] captures an audio signal into StyleBox[\"file\", \"TI\"].", + "AudioChannelAssignment":"AudioChannelAssignment is an option for Audio and related functions that specifies a mapping from audio channels to available speakers of the output audio device.", + "AudioChannelCombine":"RowBox[{\"AudioChannelCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a multichannel audio object by combining the sequence of channels in SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AudioChannelMix":"RowBox[{\"AudioChannelMix\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] mixes channels of StyleBox[\"audio\", \"TI\"] by averaging and returns a center-panned stereo audio.\nRowBox[{\"AudioChannelMix\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"desttype\", \"TI\"]}], \"]\"}] mixes audio channels into the specified StyleBox[\"desttype\", \"TI\"].", + "AudioChannels":"RowBox[{\"AudioChannels\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the number of channels in the Audio object StyleBox[\"audio\", \"TI\"].", + "AudioChannelSeparate":"RowBox[{\"AudioChannelSeparate\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] gives a list of Audio objects, each of which represents one channel of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioChannelSeparate\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"channel\", \"TI\"]}], \"]\"}] returns the specified StyleBox[\"channel\", \"TI\"] from StyleBox[\"audio\", \"TI\"].", + "AudioData":"RowBox[{\"AudioData\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] gives an array of audio samples.\nRowBox[{\"AudioData\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an array of audio samples converted to the specified \"\nStyleBox[\"type\", \"TI\"]\".", + "AudioDelay":"RowBox[{\"AudioDelay\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"delay\", \"TI\"]}], \"]\"}] creates audio by adding repeated decaying echos to StyleBox[\"audio\", \"TI\"] spaced by the specified StyleBox[\"delay\", \"TI\"].\nRowBox[{\"AudioDelay\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"delay\", \"TI\"], \",\", StyleBox[\"feedback\", \"TI\"]}], \"]\"}] uses the specified StyleBox[\"feedback\", \"TI\"] as the amount of signal to preserve during each repetition.\nRowBox[{\"AudioDelay\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"delay\", \"TI\"], \",\", StyleBox[\"feedback\", \"TI\"], \",\", StyleBox[\"mix\", \"TI\"]}], \"]\"}] uses StyleBox[\"mix\", \"TI\"] to control the ratio between original and delayed audio.", + "AudioDelete":"RowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] deletes the first StyleBox[\"t\", \"TI\"] seconds of audio.\nRowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"t\", \"TI\"]}]}], \"]\"}] deletes the last StyleBox[\"t\", \"TI\"] seconds of audio.\nRowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] deletes from time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] to time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], returning the remaining audio as a single Audio object.\nRowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes multiple time intervals.", + "AudioDevice":"AudioDevice is an option for Audio and related functions that specifies the device to use for playback.", + "AudioDistance":"RowBox[{\"AudioDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns a distance measure between SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "AudioFade":"RowBox[{\"AudioFade\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns audio in which the beginning and end of StyleBox[\"audio\", \"TI\"] are faded.\nRowBox[{\"AudioFade\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] fades the first and last StyleBox[\"t\", \"TI\"] seconds of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioFade\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] fades SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] seconds at the beginning and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] seconds at the end.", + "AudioFrequencyShift":"RowBox[{\"AudioFrequencyShift\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"freq\", \"TI\"]}], \"]\"}] gives audio by shifting the spectrum of StyleBox[\"audio\", \"TI\"] by StyleBox[\"freq\", \"TI\"].\nRowBox[{\"AudioFrequencyShift\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"freq\", \"TI\"], \",\", StyleBox[\"mix\", \"TI\"]}], \"]\"}] uses StyleBox[\"mix\", \"TI\"] to control the ratio between the original and shifted audio.", + "AudioGenerator":"RowBox[{\"AudioGenerator\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] generates one second of audio of a given StyleBox[\"model\", \"TI\"].\nRowBox[{\"AudioGenerator\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates StyleBox[\"t\", \"TI\"] seconds of audio.\nRowBox[{\"AudioGenerator\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates audio samples of the specified \"StyleBox[\"type\", \"TI\"]\".", + "AudioInputDevice":"AudioInputDevice is an option for AudioCapture that specifies the device to use for audio recording.", + "AudioInsert":"RowBox[{\"AudioInsert\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{StyleBox[\"t\", \"TI\"], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] inserts the audio signal StyleBox[\"new\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"AudioInsert\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] inserts the same audio at multiple positions.\nRowBox[{\"AudioInsert\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts multiple audio signals at different positions.", + "AudioIntervals":"RowBox[{\"AudioIntervals\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns audible intervals of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioIntervals\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] returns intervals of audio for which the criterion StyleBox[\"crit\", \"TI\"] is satisfied.\nRowBox[{\"AudioIntervals\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"mindur\", \"TI\"]}], \"]\"}] returns only intervals larger than the given duration StyleBox[\"mindur\", \"TI\"].", + "AudioJoin":"RowBox[{\"AudioJoin\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] concatenates all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]] and returns an audio object.\nRowBox[{\"AudioJoin\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] inserts SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] seconds of silence after each SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AudioLabel":"AudioLabel is an option for an Audio object that specifies the label to show on the object.", + "AudioLength":"RowBox[{\"AudioLength\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the number of samples in the Audio object StyleBox[\"audio\", \"TI\"].", + "AudioLocalMeasurements":"RowBox[{\"AudioLocalMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" locally for partitions of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioLocalMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] computes several properties \"SubscriptBox[\nStyleBox[\"prop\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".\nRowBox[{\"AudioLocalMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the measurements in the specified output StyleBox[\"format\", \"TI\"].", + "AudioLooping":"AudioLooping is an option for AudioStream and related functions to specify the playback looping.", + "AudioLoudness":"RowBox[{\"AudioLoudness\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] computes the loudness of StyleBox[\"audio\", \"TI\"] according to the EBU momentary definition.\nRowBox[{\"AudioLoudness\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] computes the loudness according to the definition StyleBox[\"def\", \"TI\"].", + "AudioMeasurements":"RowBox[{\"AudioMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" for the entire StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] computes several properties \"SubscriptBox[\nStyleBox[\"prop\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".\nRowBox[{\"AudioMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the values in the specified output StyleBox[\"format\", \"TI\"].\nRowBox[{\"AudioMeasurements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns measurements for all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AudioNormalize":"RowBox[{\"AudioNormalize\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] normalizes StyleBox[\"audio\", \"TI\"] so that the maximum absolute value of its samples is 1.\nRowBox[{\"AudioNormalize\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] normalizes the audio signal based on the specified StyleBox[\"model\", \"TI\"].", + "AudioOutputDevice":"AudioOutputDevice is an option for Audio and related functions that specifies the device to use for playback.", + "AudioOverlay":"RowBox[{\"AudioOverlay\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns an audio object by overlaying all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AudioPad":"RowBox[{\"AudioPad\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] adds StyleBox[\"t\", \"TI\"] seconds of silence to the end of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioPad\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] adds SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] seconds of silence to the beginning and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] seconds to the end of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioPad\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] pads using the value or method specified by StyleBox[\"padding\", \"TI\"].", + "AudioPan":"RowBox[{\"AudioPan\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns a center-panned stereo audio object from a mono StyleBox[\"audio\", \"TI\"]. \nRowBox[{\"AudioPan\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"pan\", \"TI\"]}], \"]\"}] returns a stereo audio object after panning left and right channels using the specified StyleBox[\"pan\", \"TI\"].", + "AudioPartition":"RowBox[{\"AudioPartition\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"dur\", \"TI\"]}], \"]\"}] partitions an audio object into non-overlapping segments of duration StyleBox[\"dur\", \"TI\"].\nRowBox[{\"AudioPartition\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"dur\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] generates segments with specified StyleBox[\"offset\", \"TI\"].", + "AudioPause":"RowBox[{\"AudioPause\", \"[\", \"]\"}] pauses the playback of all AudioStream objects.\nRowBox[{\"AudioPause\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] pauses the playback of the AudioStream object StyleBox[\"astream\", \"TI\"].\nRowBox[{\"AudioPause\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] pauses the playback for all streams originated by StyleBox[\"audio\", \"TI\"].", + "AudioPitchShift":"RowBox[{\"AudioPitchShift\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies pitch shifting to StyleBox[\"audio\", \"TI\"] by the ratio StyleBox[\"r\", \"TI\"], shifting every frequency f to RowBox[{\"r\", \" \", \"f\"}].", + "AudioPlay":"RowBox[{\"AudioPlay\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns a new AudioStream object from StyleBox[\"audio\", \"TI\"] and starts the playback.\nRowBox[{\"AudioPlay\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] starts playing an AudioStream object StyleBox[\"astream\", \"TI\"].", + "AudioPlot":"RowBox[{\"AudioPlot\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] plots the waveform of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots waveforms of all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AudioQ":"RowBox[{\"AudioQ\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] yields True if audio has the form of a valid Audio object, and False otherwise.", + "AudioRecord":"RowBox[{\"AudioRecord\", \"[\", \"]\"}] returns a new AudioStream object and starts to record from the default input audio device.\nRowBox[{\"AudioRecord\", \"[\", StyleBox[\"inputdev\", \"TI\"], \"]\"}] records from the input audio device StyleBox[\"inputdev\", \"TI\"].\nRowBox[{\"AudioRecord\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] starts recording an AudioStream object StyleBox[\"astream\", \"TI\"] that is connected to an input device.", + "AudioReplace":"RowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces the audio signal between SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with the new signal StyleBox[\"new\", \"TI\"].\nRowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces multiple intervals with the same audio StyleBox[\"new\", \"TI\"].\nRowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces multiple intervals.\nRowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}], \",\", StyleBox[\"fitting\", \"TI\"]}], \"]\"}] uses the specified StyleBox[\"fitting\", \"TI\"] method.", + "AudioResample":"RowBox[{\"AudioResample\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"sr\", \"TI\"]}], \"]\"}] resamples StyleBox[\"audio\", \"TI\"] to have the sample rate of StyleBox[\"sr\", \"TI\"].", + "AudioReverb":"RowBox[{\"AudioReverb\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] adds reverberation to StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioReverb\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] adds reverberation following the room StyleBox[\"model\", \"TI\"].\nRowBox[{\"AudioReverb\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"mix\", \"TI\"]}], \"]\"}] controls the StyleBox[\"mix\", \"TI\"] ratio between original and reverberated audio.", + "AudioSampleRate":"RowBox[{\"AudioSampleRate\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the sample rate of the Audio object StyleBox[\"audio\", \"TI\"].", + "AudioSpectralMap":"RowBox[{\"AudioSpectralMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"]}], \"]\"}] transforms audio by applying the function StyleBox[\"f\", \"TI\"] to its short-time Fourier transform.\nRowBox[{\"AudioSpectralMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of short-time Fourier transforms of all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AudioSpectralTransformation":"RowBox[{\"AudioSpectralTransformation\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"]}], \"]\"}] returns a modified version of StyleBox[\"audio\", \"TI\"] by applying a time-frequency transformation StyleBox[\"f\", \"TI\"] to its short-time Fourier transform.", + "AudioSplit":"RowBox[{\"AudioSplit\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] splits StyleBox[\"audio\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"AudioSplit\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] splits StyleBox[\"audio\", \"TI\"] at times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "AudioStop":"RowBox[{\"AudioStop\", \"[\", \"]\"}] stops the playback of all AudioStream objects.\nRowBox[{\"AudioStop\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] stops the playback of the AudioStream object StyleBox[\"astream\", \"TI\"].\nRowBox[{\"AudioStop\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] stops the playback for all streams originated by StyleBox[\"audio\", \"TI\"].", + "AudioStream":"RowBox[{\"AudioStream\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] creates a new AudioStream object from StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioStream\", \"[\", StyleBox[\"inputdev\", \"TI\"], \"]\"}] creates a new AudioStream from an input audio device StyleBox[\"inputdev\", \"TI\"].\nRowBox[{\"AudioStream\", \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] is an object that represents a unique audio stream.", + "AudioStreams":"RowBox[{\"AudioStreams\", \"[\", \"]\"}] returns all existing streams.\nRowBox[{\"AudioStreams\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns all existing streams that originated from StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioStreams\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns \"\nStyleBox[\"prop\", \"TI\"]\" for all streams that originated from StyleBox[\"audio\", \"TI\"].", + "AudioTimeStretch":"RowBox[{\"AudioTimeStretch\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies time stretching to StyleBox[\"audio\", \"TI\"] by the specified factor StyleBox[\"r\", \"TI\"].", + "AudioTrim":"RowBox[{\"AudioTrim\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] trims silence from the beginning and end of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] returns the first StyleBox[\"t\", \"TI\"] seconds of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"t\", \"TI\"]}]}], \"]\"}] returns the last StyleBox[\"t\", \"TI\"] seconds of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns audio starting at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] and ending at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of audio for all given intervals RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i1\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i2\", \"TI\"]]}], \"}\"}].", + "AudioType":"RowBox[{\"AudioType\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the data type used to represent samples in the Audio object StyleBox[\"audio\", \"TI\"].", + "AugmentedSymmetricPolynomial":"RowBox[{\"AugmentedSymmetricPolynomial\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a formal augmented symmetric polynomial with exponents SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"AugmentedSymmetricPolynomial\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"1\", \"n\"}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"2\", \"n\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate formal augmented symmetric polynomial with exponent vectors RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"], \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"1\", \"n\"}], \"TI\"]]}], \"}\"}], RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"], \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"2\", \"n\"}], \"TI\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"].\nRowBox[{\"AugmentedSymmetricPolynomial\", \"[\", RowBox[{StyleBox[\"rspec\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] gives the augmented symmetric polynomial in StyleBox[\"data\", \"TI\"].", + "Authentication":"Authentication is an option for cloud and web access functions that allows authentication parameters to be given.", + "AuthenticationDialog":"RowBox[{\"AuthenticationDialog\", \"[\", \"]\"}] initiates a standard dialog for entering username\/password authentication information.\nRowBox[{\"AuthenticationDialog\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] initiates an authentication dialog of the specified standard type.\nRowBox[{\"AuthenticationDialog\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", \"…\"}], \"}\"}], \"]\"}] initiates an authentication dialog that requests values for the specified keys.\nRowBox[{\"AuthenticationDialog\", \"[\", RowBox[{StyleBox[\"arg\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"func\", \"TI\"] to the dialog's return value.", + "AutoAction":"AutoAction is an option for objects such as Slider, Locator, and Button that specifies whether they should automatically take action whenever the mouse pointer is over them, even if they are not clicked. ", + "Autocomplete":"RowBox[{\"Autocomplete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]] that can complete StyleBox[\"string\", \"TI\"].\nRowBox[{\"Autocomplete\", \"[\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] puts the completions in order of decreasing weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Autocomplete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses completions specified by the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Autocomplete\", \"[\", RowBox[{StyleBox[\"comps\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first at most StyleBox[\"n\", \"TI\"] completions.\nRowBox[{\"Autocomplete\", \"[\", StyleBox[\"comps\", \"TI\"], \"]\"}] gives an RowBox[{\"AutocompletionFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to a string.", + "AutocompletionFunction":"RowBox[{\"AutocompletionFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function to be applied to a string to generate possible completions. ", + "AutoCopy":"AutoCopy is an option for notebooks and cloud objects that specifies whether to automatically make a copy when the object is opened.", + "AutocorrelationTest":"RowBox[{\"AutocorrelationTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the StyleBox[\"data\", \"TI\"] is autocorrelated.\nRowBox[{\"AutocorrelationTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] tests whether the StyleBox[\"data\", \"TI\"] is autocorrelated up to lag StyleBox[\"k\", \"TI\"].\nRowBox[{\"AutocorrelationTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\nStyleBox[\"\\\"\", \"TI\"] for a given model.", + "AutoDelete":"AutoDelete is an option for boxes that specifies whether a box is automatically deleted when its contents are edited.", + "AutoGeneratedPackage":"AutoGeneratedPackage is an option for notebooks that specifies whether a package is automatically created when a notebook that contains initialization cells or groups is saved.", + "AutoIndent":"AutoIndent is an option for Style and Cell that specifies what automatic indentation should be done at the beginning of a new line after an explicit return character has been entered. ", + "AutoItalicWords":"AutoItalicWords is an option for Cell that gives a list of words that should automatically be put in italics when they are entered. ", + "AutoloadPath":"AutoloadPath is a global option that specifies from which directories packages are automatically loaded when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", + "Automatic":"Automatic represents an option or other value that is to be chosen automatically by a built‐in function. ", + "AutoMultiplicationSymbol":"AutoMultiplicationSymbol is an option for objects such as Cell and Notebook that specifies whether to automatically display a multiplication symbol between numbers that would be multiplied if evaluated.", + "AutoOpenNotebooks":"AutoOpenNotebooks is a global option that specifies which notebooks should be automatically opened when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", + "AutoOpenPalettes":"AutoOpenPalettes is a global option that specifies the palettes that are automatically opened when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", + "AutoRefreshed":"RowBox[{\"AutoRefreshed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an expression to be reevaluated every hour and made available in the cloud.\nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"]\"}] reevaluates at time interval StyleBox[\"dt\", \"TI\"]. \nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] reevaluates on the schedule specified by StyleBox[\"timespec\", \"TI\"].\nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that the result from evaluating StyleBox[\"expr\", \"TI\"] should be given in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the result should be given as a response of the form StyleBox[\"rform\", \"TI\"].", + "AutoRemove":"AutoRemove is an option specifying whether tasks, generators, and related constructs should be removed after they are executed.", + "AutorunSequencing":"AutorunSequencing is an option for Manipulate that specifies how autorun should use the controls provided.", + "AutoScroll":"AutoScroll is an option to SelectionMove and related functions that specifies whether a notebook should automatically be scrolled to display the current selection.", + "AutoSpacing":"AutoSpacing is an option for Style and Cell that specifies whether spaces between successive characters should be adjusted automatically. ", + "AutoSubmitting":"RowBox[{\"AutoSubmitting\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an element of a form that automatically submits the whole form if it is entered.", + "Axes":"Axes is an option for graphics functions that specifies whether axes should be drawn. ", + "AxesEdge":"AxesEdge is an option for three-dimensional graphics functions that specifies on which edges of the bounding box axes should be drawn. ", + "AxesLabel":"AxesLabel is an option for graphics functions that specifies labels for axes. ", + "AxesOrigin":"AxesOrigin is an option for graphics functions that specifies where any axes drawn should cross. ", + "AxesStyle":"AxesStyle is an option for graphics functions that specifies how axes should be rendered. ", + "Axis":"Axis is a symbol that represents the axis for purposes of alignment and positioning. ", + "BabyMonsterGroupB":"RowBox[{\"BabyMonsterGroupB\", \"[\", \"]\"}] represents the sporadic simple baby monster group B.", + "Back":"Back is a symbol that represents the back of a graphic for purposes of placement and alignment.", + "Background":"Background is an option that specifies what background color to use. ", + "Backslash":"RowBox[{\"Backslash\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"∖\", \"y\", \"∖\", \"…\"}].", + "Backward":"Backward is a symbol that represents the backward direction for purposes of motion and animation.", + "Ball":"RowBox[{\"Ball\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents the unit ball centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Ball\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents the ball of radius StyleBox[\"r\", \"TI\"] centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Ball\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a collection of balls of radius StyleBox[\"r\", \"TI\"].", + "Band":"RowBox[{\"Band\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}], \"]\"}] represents the sequence of positions on the diagonal band that starts with RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}] in a sparse array.\nRowBox[{\"Band\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the positions between RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"Band\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"di\", \"TI\"], \",\", StyleBox[\"dj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents positions starting with RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and then moving with step RowBox[{\"{\", RowBox[{StyleBox[\"di\", \"TI\"], \",\", StyleBox[\"dj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "BandpassFilter":"RowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] applies a bandpass filter with cutoff frequencies SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]] to an array of data.\nRowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses center frequency StyleBox[\"ω\", \"TR\"] and quality factor StyleBox[\"q\", \"TI\"].\nRowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", + "BandstopFilter":"RowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] applies a bandstop filter with cutoff frequencies SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]] to an array of data.\nRowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses center frequency StyleBox[\"ω\", \"TR\"] and quality factor StyleBox[\"q\", \"TI\"]. \nRowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", + "BarabasiAlbertGraphDistribution":"RowBox[{\"BarabasiAlbertGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a Barabasi–Albert graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs where a new vertex with StyleBox[\"k\", \"TI\"] edges is added at each step.", + "BarChart":"RowBox[{\"BarChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bar chart with bar lengths SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], ….\nRowBox[{\"BarChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bar chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BarChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bar chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BarChart3D":"RowBox[{\"BarChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bar chart with bar lengths SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"BarChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bar chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BarChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bar chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BarcodeImage":"RowBox[{\"BarcodeImage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] generates a barcode image of \"StyleBox[\"string\", \"TI\"]\" in the specified StyleBox[\"format\", \"TI\"].\nRowBox[{\"BarcodeImage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] attempts to generate a barcode image of the specified StyleBox[\"size\", \"TI\"].", + "BarcodeRecognize":"RowBox[{\"BarcodeRecognize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] recognizes a barcode in StyleBox[\"image\", \"TI\"] and returns it as a string.\nRowBox[{\"BarcodeRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the specified property of the barcode.\nRowBox[{\"BarcodeRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] recognizes barcodes of the specified StyleBox[\"format\", \"TI\"] only.", + "BaringhausHenzeTest":"RowBox[{\"BaringhausHenzeTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether data follows a MultinormalDistribution using the Baringhaus–Henze test.\nRowBox[{\"BaringhausHenzeTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"MultinormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}]}], \"]\"}] tests whether data follows the distribution with mean vector StyleBox[\"μ\", \"TR\"] and covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"BaringhausHenzeTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\". ", + "BarLegend":"RowBox[{\"BarLegend\", \"[\", StyleBox[\"cf\", \"TI\"], \"]\"}] generates a legend that identifies colors from the color function StyleBox[\"cf\", \"TI\"] with an automatic range of values.\nRowBox[{\"BarLegend\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"cf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"}\"}], \"]\"}] generates a legend that identifies colors from the color function StyleBox[\"cf\", \"TI\"] with the range of values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"].\nRowBox[{\"BarLegend\", \"[\", RowBox[{StyleBox[\"cf\", \"TI\"], \",\", StyleBox[\"contours\", \"TI\"]}], \"]\"}] generates a legend that identifies color ranges from the color function StyleBox[\"cf\", \"TI\"] based on the set of contours StyleBox[\"contours\", \"TI\"].", + "BarlowProschanImportance":"RowBox[{\"BarlowProschanImportance\", \"[\", StyleBox[\"rdist\", \"TI\"], \"]\"}] gives the Barlow–Proschan importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"]. \nRowBox[{\"BarlowProschanImportance\", \"[\", StyleBox[\"fdist\", \"TI\"], \"]\"}] gives the Barlow–Proschan importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"].", + "BarnesG":"RowBox[{\"BarnesG\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Barnes G-function RowBox[{StyleBox[\"G\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "BarOrigin":"BarOrigin is an option to BarChart and related functions that specifies the origin placement for bars. ", + "BarSpacing":"BarSpacing is an option to BarChart and related functions that controls the spacing between bars and groups of bars.", + "BartlettHannWindow":"RowBox[{\"BartlettHannWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Bartlett–Hann window function of StyleBox[\"x\", \"TI\"].", + "BartlettWindow":"RowBox[{\"BartlettWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Bartlett window function of StyleBox[\"x\", \"TI\"].", + "BaseDecode":"RowBox[{\"BaseDecode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] decodes the Base64 data contained in a string and returns the result as a byte array.", + "BaseEncode":"RowBox[{\"BaseEncode\", \"[\", StyleBox[\"ba\", \"TI\"], \"]\"}] encodes the byte array StyleBox[\"ba\", \"TI\"] as a Base64 string.", + "BaseForm":"RowBox[{\"BaseForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with the numbers in StyleBox[\"expr\", \"TI\"] given in base StyleBox[\"n\", \"TI\"]. ", + "Baseline":"Baseline is a symbol that represents the baseline for purposes of alignment and positioning. ", + "BaselinePosition":"BaselinePosition is an option that specifies where the baseline of an object is considered to be for purposes of alignment with surrounding text or other expressions. ", + "BaseStyle":"BaseStyle is an option for formatting and related constructs that specifies the base style to use for them. ", + "BasicRecurrentLayer":"RowBox[{\"BasicRecurrentLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable recurrent layer that takes a sequence of vectors and produces a sequence of vectors each of size StyleBox[\"n\", \"TI\"].\nRowBox[{\"BasicRecurrentLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial weights and other parameters. ", + "BatchNormalizationLayer":"RowBox[{\"BatchNormalizationLayer\", \"[\", \"]\"}] represents a trainable net layer that normalizes its input data by learning the data mean and variance.", + "BatchSize":"BatchSize is an option for NetTrain and related functions that specifies the size of a batch of examples to process together.", + "BatesDistribution":"RowBox[{\"BatesDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the distribution of a mean of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from 0 to 1.\nRowBox[{\"BatesDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the distribution of a mean of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].", + "BattleLemarieWavelet":"RowBox[{\"BattleLemarieWavelet\", \"[\", \"]\"}] represents the Battle-Lemarié wavelet of order 3.\nRowBox[{\"BattleLemarieWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the Battle-Lemarié wavelet of order StyleBox[\"n\", \"TI\"] evaluated on equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", \"10\"}], \",\", \"10\"}], \"}\"}].\nRowBox[{\"BattleLemarieWavelet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"lim\", \"TI\"]}], \"]\"}] represents the Battle-Lemarié wavelet of order StyleBox[\"n\", \"TI\"] evaluated on equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", StyleBox[\"lim\", \"TI\"]}], StyleBox[\",\", \"TI\"], StyleBox[\"lim\", \"TI\"]}], \"}\"}]. ", + "BayesianMaximization":"RowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of Bayesian maximization over the function StyleBox[\"f\", \"TI\"] over the configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] maximizes over the region represented by the region specification StyleBox[\"reg\", \"TI\"].\nRowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] maximizes over configurations obtained by applying the function StyleBox[\"sampler\", \"TI\"].\nRowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "BayesianMaximizationObject":"RowBox[{\"BayesianMaximizationObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of a Bayesian maximization process.", + "BayesianMinimization":"BayesianMinimizationRowBox[{\"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of Bayesian minimization of the function StyleBox[\"f\", \"TI\"] over the configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"BayesianMinimization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] minimizes over the region represented by the region specification StyleBox[\"reg\", \"TI\"].\nRowBox[{\"BayesianMinimization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] minimizes over configurations obtained by applying the function StyleBox[\"sampler\", \"TI\"]. \nBayesianMinimizationRowBox[{\"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BayesianMinimizationObject":"RowBox[{\"BayesianMinimizationObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of a Bayesian minimization process. ", + "Because":"RowBox[{\"Because\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"∵\", \"y\"}].", + "BeckmannDistribution":"RowBox[{\"BeckmannDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] represents the Beckmann distribution with means SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]] and standard deviations SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BeckmannDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents the Beckmann distribution with means SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], standard deviations SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], and correlation StyleBox[\"ρ\", \"TR\"].", + "Beep":"RowBox[{\"Beep\", \"[\", \"]\"}] generates an audible beep when evaluated. ", + "Before":"Before is a symbol that represents the region before an object for purposes of placement.", + "Begin":"RowBox[{\"Begin\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] resets the current context. ", + "BeginDialogPacket":"RowBox[{\"BeginDialogPacket\", \"[\", StyleBox[\"integer\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates the start of the Dialog subsession referenced by StyleBox[\"integer\", \"TI\"].", + "BeginPackage":"RowBox[{\"BeginPackage\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] makes StyleBox[RowBox[{StyleBox[\"context\", \"TI\"], \"`\"}]] and System` the only active contexts. \nRowBox[{\"BeginPackage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"need\\\",\\\"TI\\\"]\\_StyleBox[1, TR]\\)`\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"need\\\",\\\"TI\\\"]\\_StyleBox[2, TR]\\)`\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] calls Needs on the SubscriptBox[StyleBox[\"need\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BellB":"RowBox[{\"BellB\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Bell number SubscriptBox[\"B\", \"n\"]. \nRowBox[{\"BellB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Bell polynomial RowBox[{SubscriptBox[\"B\", \"n\"], \"(\", \"x\", \")\"}]. ", + "BellY":"RowBox[{\"BellY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"n\", \"-\", \"k\", \"+\", \"1\"}], \"TI\"]]}], \"}\"}]}], \"]\"}] gives the partial Bell polynomial RowBox[{SubscriptBox[StyleBox[\"Y\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}]], \"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \"-\", StyleBox[\"k\", \"TI\"], \"+\", \"1\"}]]}], \")\"}].\nRowBox[{\"BellY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the generalized partial Bell polynomial of a matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"BellY\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the generalized Bell polynomial of a matrix StyleBox[\"m\", \"TI\"].", + "Below":"Below is a symbol that represents the region below an object for purposes of placement.", + "BenfordDistribution":"RowBox[{\"BenfordDistribution\", \"[\", StyleBox[\"b\", \"TI\"], \"]\"}] represents a Benford distribution with base parameter StyleBox[\"b\", \"TI\"].", + "BeniniDistribution":"RowBox[{\"BeniniDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Benini distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].", + "BenktanderGibratDistribution":"RowBox[{\"BenktanderGibratDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Benktander distribution of type I with parameters StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"].", + "BenktanderWeibullDistribution":"RowBox[{\"BenktanderWeibullDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Benktander distribution of type II with parameters StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"].", + "BernoulliB":"RowBox[{\"BernoulliB\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Bernoulli number SubscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"BernoulliB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Bernoulli polynomial RowBox[{SubscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "BernoulliDistribution":"RowBox[{\"BernoulliDistribution\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a Bernoulli distribution with probability parameter StyleBox[\"p\", \"TI\"].", + "BernoulliGraphDistribution":"RowBox[{\"BernoulliGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a Bernoulli graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs with edge probability StyleBox[\"p\", \"TI\"].", + "BernoulliProcess":"RowBox[{\"BernoulliProcess\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a Bernoulli process with event probability StyleBox[\"p\", \"TI\"].", + "BernsteinBasis":"RowBox[{\"BernsteinBasis\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] represents the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Bernstein basis function of degree StyleBox[\"d\", \"TI\"] at StyleBox[\"x\", \"TI\"].", + "BesselFilterModel":"RowBox[{\"BesselFilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] designs a lowpass Bessel filter of order StyleBox[\"n\", \"TI\"] and cutoff frequency 1.\nRowBox[{\"BesselFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"BesselFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", + "BesselI":"RowBox[{\"BesselI\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the modified Bessel function of the first kind RowBox[{SubscriptBox[StyleBox[\"I\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "BesselJ":"RowBox[{\"BesselJ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Bessel function of the first kind RowBox[{SubscriptBox[\"J\", \"n\"], \"(\", \"z\", \")\"}]. ", + "BesselJZero":"RowBox[{\"BesselJZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Bessel function RowBox[{SubscriptBox[StyleBox[\"J\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"BesselJZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero greater than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "BesselK":"RowBox[{\"BesselK\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the modified Bessel function of the second kind RowBox[{SubscriptBox[StyleBox[\"K\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "BesselY":"RowBox[{\"BesselY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Bessel function of the second kind RowBox[{SubscriptBox[StyleBox[\"Y\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "BesselYZero":"RowBox[{\"BesselYZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Bessel function of the second kind RowBox[{SubscriptBox[StyleBox[\"Y\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"BesselYZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero greater than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "Beta":"RowBox[{\"Beta\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the Euler beta function RowBox[{\"Β\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]. \nRowBox[{\"Beta\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the incomplete beta function RowBox[{SubscriptBox[\"Β\", StyleBox[\"z\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]. ", + "BetaBinomialDistribution":"RowBox[{\"BetaBinomialDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a beta binomial mixture distribution with beta distribution parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"], and StyleBox[\"n\", \"TI\"] binomial trials.", + "BetaDistribution":"RowBox[{\"BetaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a continuous beta distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].", + "BetaNegativeBinomialDistribution":"RowBox[{\"BetaNegativeBinomialDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a beta negative binomial mixture distribution with beta distribution parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and StyleBox[\"n\", \"TI\"] successful trials.", + "BetaPrimeDistribution":"RowBox[{\"BetaPrimeDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a beta prime distribution with shape parameters StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"]. \nRowBox[{\"BetaPrimeDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a generalized beta prime distribution with scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"BetaPrimeDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a generalized beta distribution of the second kind with shape parameter StyleBox[\"α\", \"TR\"].", + "BetaRegularized":"RowBox[{\"BetaRegularized\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the regularized incomplete beta function RowBox[{SubscriptBox[StyleBox[\"I\", \"TI\"], StyleBox[\"z\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]. ", + "Between":"RowBox[{\"Between\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{StyleBox[\"min\", \"TI\"], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"max\", \"TI\"]}].\nRowBox[{\"Between\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"||\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"||\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"Between\", \"[\", StyleBox[\"range\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{\"Between\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] when applied to an expression StyleBox[\"x\", \"TI\"].", + "BetweennessCentrality":"RowBox[{\"BetweennessCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of betweenness centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"BetweennessCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "BezierCurve":"RowBox[{\"BezierCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a graphics primitive that represents a Bézier curve with control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "BezierCurve3DBoxOptions":"RowBox[{BezierCurve3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BezierCurve3DBox objects.", + "BezierCurveBoxOptions":"RowBox[{BezierCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BezierCurveBox objects.", + "BezierFunction":"RowBox[{\"BezierFunction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a Bézier function for a curve defined by the control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BezierFunction\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] represents a Bézier function for a surface or high-dimensional manifold. ", + "BilateralFilter":"RowBox[{\"BilateralFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] applies a bilateral filter of spatial spread StyleBox[\"σ\", \"TR\"] and pixel value spread StyleBox[\"μ\", \"TR\"] to StyleBox[\"data\", \"TI\"].", + "Binarize":"RowBox[{\"Binarize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] creates a binary image from StyleBox[\"image\", \"TI\"] by replacing all values above a globally determined threshold with 1 and others with 0.\nRowBox[{\"Binarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] creates a binary image by replacing all values above StyleBox[\"t\", \"TI\"] with 1 and others with 0.\nRowBox[{\"Binarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] creates a binary image by replacing all values in the range SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with 1 and others with 0.\nRowBox[{\"Binarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] creates a binary image by replacing all channel value lists for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] yields True with 1, and others with 0.", + "BinaryDeserialize":"RowBox[{\"BinaryDeserialize\", \"[\", RowBox[{\"ByteArray\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] recovers an expression from a binary representation generated by BinarySerialize.\nRowBox[{\"BinaryDeserialize\", \"[\", RowBox[{RowBox[{\"ByteArray\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps StyleBox[\"h\", \"TI\"] around the expression produced before returning it.", + "BinaryDistance":"RowBox[{\"BinaryDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the binary distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"], equal to 0 if they are identical and 1 otherwise.", + "BinaryFormat":"BinaryFormat is an option for OpenRead and related functions that specifies that a stream should be opened in binary format, so that no textual interpretation of newlines or other data is done.", + "BinaryImageQ":"RowBox[{\"BinaryImageQ\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] yields True if StyleBox[\"image\", \"TI\"] has the form of a binary Image or Image3D object, and False otherwise.", + "BinaryRead":"RowBox[{\"BinaryRead\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads one byte of raw binary data from an input stream, and returns an integer from 0 to 255. \nRowBox[{\"BinaryRead\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads an object of the specified type. \nRowBox[{\"BinaryRead\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads a sequence of objects of the specified types.", + "BinaryReadList":"RowBox[{\"BinaryReadList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads all remaining bytes from a file, and returns them as a list of integers from 0 to 255. \nRowBox[{\"BinaryReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads objects of the specified type from a file, until the end of the file is reached. The list of objects read is returned. \nRowBox[{\"BinaryReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads objects with a sequence of types, until the end of the file is reached. \nRowBox[{\"BinaryReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"types\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads only the first StyleBox[\"n\", \"TI\"] objects of the specified types. ", + "BinarySerialize":"RowBox[{\"BinarySerialize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a binary representation of any expression StyleBox[\"expr\", \"TI\"] as a ByteArray object.", + "BinaryWrite":"RowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] writes a byte of data, specified as an integer from 0 to 255. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes a sequence of bytes. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes the raw sequence of characters in a string. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] writes an object of the specified type. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] writes a sequence of objects of the specified type. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes a sequence of objects with a sequence of types. ", + "BinCounts":"RowBox[{\"BinCounts\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] counts the number of elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive integer bins.\nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] counts the number of elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive bins of width StyleBox[\"dx\", \"TI\"].\nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] counts the number of SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] in successive bins of width StyleBox[\"dx\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] counts the number of SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the intervals RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \")\"}], RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"3\", \"TR\"]]}]}], \")\"}], …. \nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"xbins\", \"TI\"], \",\", StyleBox[\"ybins\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array of counts where the first index corresponds to StyleBox[\"x\", \"TI\"] bins, the second to StyleBox[\"y\", \"TI\"], and so on. ", + "BinLists":"RowBox[{\"BinLists\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives lists of the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive integer bins.\nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] gives lists of the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive bins of width StyleBox[\"dx\", \"TI\"].\nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] gives lists of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] that lie in successive bins of width StyleBox[\"dx\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] gives lists of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] that lie in the intervals RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \")\"}], RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"3\", \"TR\"]]}]}], \")\"}], …. \nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"xbins\", \"TI\"], \",\", StyleBox[\"ybins\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array of lists where the first index corresponds to StyleBox[\"x\", \"TI\"] bins, the second to StyleBox[\"y\", \"TI\"], and so on. ", + "Binomial":"RowBox[{\"Binomial\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the binomial coefficient RowBox[{\"(\", GridBox[{{StyleBox[\"n\", \"TI\"]}, {StyleBox[\"m\", \"TI\"]}}], \")\"}].", + "BinomialDistribution":"RowBox[{\"BinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a binomial distribution with StyleBox[\"n\", \"TI\"] trials and success probability StyleBox[\"p\", \"TI\"].", + "BinomialProcess":"RowBox[{\"BinomialProcess\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a binomial process with event probability StyleBox[\"p\", \"TI\"].", + "BinormalDistribution":"RowBox[{\"BinormalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents a bivariate normal distribution with mean RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}] and covariance matrix RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{StyleBox[\"ρ\", \"TR\"], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"ρ\", \"TR\"], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \",\", SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}].\nRowBox[{\"BinormalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents a bivariate normal distribution with zero mean.\nRowBox[{\"BinormalDistribution\", \"[\", StyleBox[\"ρ\", \"TR\"], \"]\"}] represents a bivariate normal distribution with zero mean and covariance matrix RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{\"1\", \",\", StyleBox[\"ρ\", \"TR\"]}], \" \", \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ρ\", \"TR\"], \",\", \"1\"}], \"}\"}]}], \"}\"}].", + "BiorthogonalSplineWavelet":"RowBox[{\"BiorthogonalSplineWavelet\", \"[\", \"]\"}] represents a biorthogonal spline wavelet of order 4 and dual order 2.\nRowBox[{\"BiorthogonalSplineWavelet\", \"[\", StyleBox[RowBox[{\"n\", \",\", \"m\"}], \"TI\"], \"]\"}] represents a biorthogonal spline wavelet of order StyleBox[\"n\", \"TI\"] and dual order StyleBox[\"m\", \"TI\"].", + "BipartiteGraphQ":"RowBox[{\"BipartiteGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a bipartite graph and False otherwise.", + "BiquadraticFilterModel":"RowBox[{\"BiquadraticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \"]\"}] creates a lowpass biquadratic filter using the characteristic frequency StyleBox[\"ω\", \"TR\"] and the quality factor StyleBox[\"q\", \"TI\"].\nRowBox[{\"BiquadraticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] creates a filter of a given RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}].\nRowBox[{\"BiquadraticFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", + "BirnbaumImportance":"RowBox[{\"BirnbaumImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Birnbaum importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"BirnbaumImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Birnbaum importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", + "BirnbaumSaundersDistribution":"RowBox[{\"BirnbaumSaundersDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents the Birnbaum–Saunders distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"λ\", \"TR\"].", + "BitAnd":"RowBox[{\"BitAnd\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the bitwise AND of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BitClear":"RowBox[{\"BitClear\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] sets to 0 the bit corresponding to the coefficient of SuperscriptBox[\"2\", StyleBox[\"k\", \"TI\"]] in the integer StyleBox[\"n\", \"TI\"]. ", + "BitGet":"RowBox[{\"BitGet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gets the bit corresponding to the coefficient of SuperscriptBox[\"2\", StyleBox[\"k\", \"TI\"]] in the integer StyleBox[\"n\", \"TI\"]. ", + "BitLength":"RowBox[{\"BitLength\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of binary bits necessary to represent the integer StyleBox[\"n\", \"TI\"]. ", + "BitNot":"RowBox[{\"BitNot\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the bitwise NOT of the integer StyleBox[\"n\", \"TI\"]. ", + "BitOr":"RowBox[{\"BitOr\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the bitwise OR of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BitSet":"RowBox[{\"BitSet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] sets to 1 the bit corresponding to the coefficient of SuperscriptBox[\"2\", StyleBox[\"k\", \"TI\"]] in the integer StyleBox[\"n\", \"TI\"]. ", + "BitShiftLeft":"RowBox[{\"BitShiftLeft\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] shifts the binary bits in the integer StyleBox[\"n\", \"TI\"] to the left by StyleBox[\"k\", \"TI\"] places, padding with zeros on the right.\nRowBox[{\"BitShiftLeft\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] shifts one bit to the left.", + "BitShiftRight":"RowBox[{\"BitShiftRight\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] shifts the binary bits in the integer StyleBox[\"n\", \"TI\"] to the right by StyleBox[\"k\", \"TI\"] places, dropping bits that are shifted past the unit's position on the right. \nRowBox[{\"BitShiftRight\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] shifts one bit to the right.", + "BitXor":"RowBox[{\"BitXor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the bitwise XOR of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BiweightLocation":"RowBox[{\"BiweightLocation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the value of the biweight location estimator of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"BiweightLocation\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the value of the biweight location estimator with scaling parameter StyleBox[\"c\", \"TI\"].", + "BiweightMidvariance":"RowBox[{\"BiweightMidvariance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the value of the biweight midvariance of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"BiweightMidvariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the value of the biweight midvariance with scaling parameter StyleBox[\"c\", \"TI\"].", + "Black":"Black represents the color black in graphics or style specifications. ", + "BlackmanHarrisWindow":"RowBox[{\"BlackmanHarrisWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Blackman–Harris window function of StyleBox[\"x\", \"TI\"].", + "BlackmanNuttallWindow":"RowBox[{\"BlackmanNuttallWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Blackman–Nuttall window function of StyleBox[\"x\", \"TI\"].", + "BlackmanWindow":"RowBox[{\"BlackmanWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Blackman window function of StyleBox[\"x\", \"TI\"].", + "Blank":"_ or RowBox[{\"Blank\", \"[\", \"]\"}] is a pattern object that can stand for any StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression. \nStyleBox[RowBox[{\"_\", StyleBox[\"h\", \"TI\"]}]] or RowBox[{\"Blank\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] can stand for any expression with head StyleBox[\"h\", \"TI\"]. ", + "BlankForm":"BlankForm is an internal symbol used for formatting and printing.", + "BlankNullSequence":"___ (three _ characters) or RowBox[{\"BlankNullSequence\", \"[\", \"]\"}] is a pattern object that can stand for any sequence of zero or more StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expressions. \nStyleBox[RowBox[{\"___\", StyleBox[\"h\", \"TI\"]}]] or RowBox[{\"BlankNullSequence\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] can stand for any sequence of expressions, all of which have head StyleBox[\"h\", \"TI\"]. ", + "BlankSequence":"__ (two _ characters) or RowBox[{\"BlankSequence\", \"[\", \"]\"}] is a pattern object that can stand for any sequence of one or more StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expressions. \nStyleBox[RowBox[{\"__\", StyleBox[\"h\", \"TI\"]}]] or RowBox[{\"BlankSequence\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] can stand for any sequence of one or more expressions, all of which have head StyleBox[\"h\", \"TI\"]. ", + "Blend":"RowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a color obtained by blending a fraction RowBox[{\"1\", \"-\", \"x\"}] of color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]] and x of color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] linearly interpolates between colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] as StyleBox[\"x\", \"TI\"] varies from 0 to 1.\nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] interpolates to give SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] when RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].\nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] blends all the SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]], using fraction SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]] of color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] blends pixel values of 2D or 3D images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Block":"RowBox[{\"Block\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies that StyleBox[\"expr\", \"TI\"] is to be evaluated with local values for the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"Block\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] defines initial local values for StyleBox[\"x\", \"TI\"], …. ", + "BlockchainBase":"BlockchainBase is an option for various blockchain functions that specifies which blockchain to use.", + "BlockchainBlockData":"RowBox[{\"BlockchainBlockData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"hash\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives information about the block with the specified hash on the blockchain specified by $BlockchainBase.\nRowBox[{\"BlockchainBlockData\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives information about block StyleBox[\"n\", \"TI\"] on the blockchain.\nRowBox[{\"BlockchainBlockData\", \"[\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives information about the block StyleBox[\"n\", \"TI\"] elements from the end of the blockchain.\nRowBox[{\"BlockchainBlockData\", \"[\", RowBox[{StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property of the block.", + "BlockchainData":"RowBox[{\"BlockchainData\", \"[\", \"]\"}] gives information about the blockchain specified by $BlockchainBase.\nRowBox[{\"BlockchainData\", \"[\", StyleBox[\"property\", \"TI\"], \"]\"}] gives the value of the specified property of the blockchain.", + "BlockchainGet":"RowBox[{\"BlockchainGet\", \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] retrieves data from the Wolfram blockchain for the transaction with the specified ID.", + "BlockchainPut":"RowBox[{\"BlockchainPut\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] adds StyleBox[\"expr\", \"TI\"] to the Wolfram blockchain.", + "BlockchainTransactionData":"RowBox[{\"BlockchainTransactionData\", \"[\", StyleBox[\"txid\", \"TI\"], \"]\"}] gives information about the blockchain transaction with ID StyleBox[\"txid\", \"TI\"] on the blockchain specified by $BlockchainBase.\nRowBox[{\"BlockchainTransactionData\", \"[\", RowBox[{StyleBox[\"txid\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property of the transaction.", + "BlockMap":"RowBox[{\"BlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to non-overlapping sublists of length StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"BlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to sublists with offset StyleBox[\"d\", \"TI\"] in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"BlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to blocks of size RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}].", + "BlockRandom":"RowBox[{\"BlockRandom\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with all pseudorandom generators localized, so that uses of SeedRandom, RandomInteger, and related functions within the evaluation of StyleBox[\"expr\", \"TI\"] do not affect subsequent pseudorandom sequences.", + "BlomqvistBeta":"RowBox[{\"BlomqvistBeta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Blomqvist's medial correlation coefficient StyleBox[\"β\", \"TR\"] for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BlomqvistBeta\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Blomqvist's medial correlation coefficient StyleBox[\"β\", \"TR\"] for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"BlomqvistBeta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Blomqvist's medial correlation coefficient StyleBox[\"β\", \"TR\"] for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BlomqvistBeta\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the medial correlation coefficient matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"BlomqvistBeta\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] medial correlation coefficient for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", + "BlomqvistBetaTest":"RowBox[{\"BlomqvistBetaTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"BlomqvistBetaTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"BlomqvistBetaTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Blue":"Blue represents the color blue in graphics or style specifications. ", + "Blur":"RowBox[{\"Blur\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a blurred version of StyleBox[\"image\", \"TI\"].\nRowBox[{\"Blur\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives a version of StyleBox[\"image\", \"TI\"] blurred over pixel radius StyleBox[\"r\", \"TI\"].", + "BodePlot":"RowBox[{\"BodePlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a Bode plot of a linear time-invariant system StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"BodePlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"BodePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", + "BohmanWindow":"RowBox[{\"BohmanWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Bohman window function of StyleBox[\"x\", \"TI\"].", + "Bold":"Bold represents a bold font weight.", + "Bookmarks":"Bookmarks is an option for Manipulate and related functions that gives a list of bookmark settings.", + "Boole":"RowBox[{\"Boole\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields 1 if StyleBox[\"expr\", \"TI\"] is True and 0 if it is False. ", + "BooleanConsecutiveFunction":"RowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Boolean function of StyleBox[\"n\", \"TI\"] variables that gives True if StyleBox[\"k\", \"TI\"] consecutive variables are True.\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"k\", \"TI\"], StyleBox[\",\", \"TI\"], \"True\"}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] treats the variable list as cyclic.\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a Boolean function of RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", \"⋯\", \" \", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}] variables that gives True if all variables in a RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], \"1\"], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], \"2\"], \"\", \"…\", \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"d\", \"TI\"]]}] block of the RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \"\", \"…\", \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}] variable array are True.\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}]}], \"]\"}] treats the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] level of the variable array as cyclic if SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] is True. \nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the Boolean consecutive function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", + "BooleanConvert":"RowBox[{\"BooleanConvert\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts the Boolean expression StyleBox[\"expr\", \"TI\"] to disjunctive normal form.\nRowBox[{\"BooleanConvert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] converts the Boolean expression StyleBox[\"expr\", \"TI\"] to the specified form.\nRowBox[{\"BooleanConvert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] finds an expression in the specified form that is equivalent to StyleBox[\"expr\", \"TI\"] when StyleBox[\"cond\", \"TI\"] is true.", + "BooleanCountingFunction":"RowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Boolean function of StyleBox[\"n\", \"TI\"] variables that gives True if at most SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a function of StyleBox[\"n\", \"TI\"] variables that gives True if exactly StyleBox[\"k\", \"TI\"] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a function that gives True if between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a function that gives True if exactly SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the Boolean counting function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", + "BooleanFunction":"RowBox[{\"BooleanFunction\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] Boolean function in StyleBox[\"n\", \"TI\"] variables.\nRowBox[{\"BooleanFunction\", \"[\", StyleBox[\"values\", \"TI\"], \"]\"}] represents the Boolean function corresponding to the specified vector of truth values.\nRowBox[{\"BooleanFunction\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"o\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the Boolean function defined by the specified mapping from inputs to outputs.\nRowBox[{\"BooleanFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the Boolean function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", + "BooleanGraph":"RowBox[{\"BooleanGraph\", \"[\", RowBox[{StyleBox[\"bfunc\", \"TI\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}] gives the Boolean graph defined by the Boolean function StyleBox[\"bfunc\", \"TI\"] on the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]].", + "BooleanMaxterms":"RowBox[{\"BooleanMaxterms\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] maxterm in StyleBox[\"n\", \"TI\"] variables.\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the conjunction of the maxterms SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the conjunction of maxterms given by the exponent vectors SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], ….\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the maxterms function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", + "BooleanMinimize":"RowBox[{\"BooleanMinimize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] finds a minimal-length disjunctive normal form representation of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"BooleanMinimize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] finds a minimal-length representation for StyleBox[\"expr\", \"TI\"] in the specified form.\nRowBox[{\"BooleanMinimize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] finds a minimal-length expression in the specified form that is equivalent to StyleBox[\"expr\", \"TI\"] when StyleBox[\"cond\", \"TI\"] is true.", + "BooleanMinterms":"RowBox[{\"BooleanMinterms\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] minterm in StyleBox[\"n\", \"TI\"] variables.\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the disjunction of the minterms SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the disjunction of minterms given by the exponent vectors SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], ….\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the minterms function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", + "BooleanQ":"RowBox[{\"BooleanQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is either True or False.", + "BooleanRegion":"RowBox[{\"BooleanRegion\", \"[\", RowBox[{StyleBox[\"bfunc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the Boolean combination StyleBox[\"bfunc\", \"TI\"] of regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "Booleans":"Booleans represents the domain of Booleans, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Booleans\"}]. ", + "BooleanStrings":"BooleanStrings is an option to TextString and related functions that determines what strings correspond to the Wolfram Language symbols True and False.", + "BooleanTable":"RowBox[{\"BooleanTable\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives a list of truth values for all possible combinations of variable values supplied to the Boolean function StyleBox[\"bf\", \"TI\"].\nRowBox[{\"BooleanTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the truth values of the Boolean expression StyleBox[\"expr\", \"TI\"] for all possible combinations of values of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BooleanTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested table of truth values of StyleBox[\"expr\", \"TI\"] with the outermost level giving possible combinations of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "BooleanVariables":"RowBox[{\"BooleanVariables\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a list of the Boolean variables in the Boolean expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"BooleanVariables\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives the number of Boolean variables in the BooleanFunction object StyleBox[\"bf\", \"TI\"].", + "BorderDimensions":"RowBox[{\"BorderDimensions\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the pixel width of uniform borders of StyleBox[\"image\", \"TI\"] in the form RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"bottom\", \"TI\"], \",\", StyleBox[\"top\", \"TI\"]}], \"}\"}]}], \"}\"}].\nRowBox[{\"BorderDimensions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds borders whose pixels vary by an amount less than StyleBox[\"t\", \"TI\"].", + "BorelTannerDistribution":"RowBox[{\"BorelTannerDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Borel–Tanner distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"n\", \"TI\"].", + "Bottom":"Bottom is a symbol that represents the bottom for purposes of alignment and positioning. ", + "BottomHatTransform":"RowBox[{\"BottomHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological bottom-hat transform of StyleBox[\"image\", \"TI\"] with respect to structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"BottomHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the bottom-hat transform with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"BottomHatTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies a bottom-hat transform to an array of data.", + "BoundaryDiscretizeGraphics":"RowBox[{\"BoundaryDiscretizeGraphics\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] discretizes a 2D or 3D graphic StyleBox[\"g\", \"TI\"] into a BoundaryMeshRegion.\nRowBox[{\"BoundaryDiscretizeGraphics\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] discretizes only the elements in StyleBox[\"g\", \"TI\"] that match the pattern StyleBox[\"patt\", \"TI\"].", + "BoundaryDiscretizeRegion":"RowBox[{\"BoundaryDiscretizeRegion\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] discretizes the region StyleBox[\"reg\", \"TI\"] into a BoundaryMeshRegion.\nRowBox[{\"BoundaryDiscretizeRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], \",\", SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]}], \"]\"}], \"×\", \"⋯\"}].", + "BoundaryMesh":"RowBox[{\"BoundaryMesh\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] gives a BoundaryMeshRegion from a MeshRegion StyleBox[\"mreg\", \"TI\"]. ", + "BoundaryMeshRegion":"RowBox[{\"BoundaryMeshRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with boundary cells SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"j\", \"TI\"]], where coordinates given as integer StyleBox[\"i\", \"TI\"] are taken to be SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]], where the cells together represent a closed curve, surface, etc.\nRowBox[{\"BoundaryMeshRegion\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with cell properties defined by the symbolic wrapper SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BoundaryMeshRegion\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"boundary\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"boundary\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields a mesh from multiple boundaries SubscriptBox[StyleBox[\"boundary\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "BoundaryMeshRegionQ":"RowBox[{\"BoundaryMeshRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] yields True if the region StyleBox[\"reg\", \"TI\"] is a valid BoundaryMeshRegion object and False otherwise.", + "BoundaryStyle":"BoundaryStyle is an option for plotting functions that specifies the style in which boundaries of regions should be drawn. ", + "BoundedRegionQ":"RowBox[{\"BoundedRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if StyleBox[\"reg\", \"TI\"] is a bounded region and False otherwise. ", + "BoundingRegion":"RowBox[{\"BoundingRegion\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the minimal axis-aligned bounding box for the points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]],RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], StyleBox[\"…\", \"TR\"].\nRowBox[{\"BoundingRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a bounding region of type StyleBox[\"form\", \"TI\"]. \nRowBox[{\"BoundingRegion\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a bounding region for a MeshRegion or BoundaryMeshRegion.", + "BoxBaselineShift":"BoxBaselineShift is an option for AdjustmentBox that specifies how much the baseline of the box should be shifted relative to those of neighboring characters.", + "BoxData":"RowBox[{BoxData, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level representation of the contents of a typesetting cell.", + "Boxed":"Boxed is an option for Graphics3D that specifies whether to draw the edges of the bounding box in a three‐dimensional picture. ", + "BoxFormFormatTypes":"BoxFormFormatTypes is a global option that specifies the list of typeset format types that are currently defined.", + "BoxFrame":"BoxFrame is an option for FrameBox objects that specifies whether to draw a frame around the contents of the box.", + "BoxMargins":"BoxMargins is an option for AdjustmentBox objects that specifies the margins to leave around the contents of the box.", + "BoxMatrix":"RowBox[{BoxMatrix, \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}]StyleBox[\"×\", \"TR\"]RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}] matrix of 1s.\nRowBox[{BoxMatrix, \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}]StyleBox[\"×\", \"TR\"]RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}] block of 1s centered in a RowBox[{StyleBox[\"w\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}] matrix of 0s.\nRowBox[{BoxMatrix, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a RowBox[{RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", SubscriptBox[\"r\", \"1\"]}], \"+\", \"1\"}], \")\"}], \"×\", \" \", RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", SubscriptBox[\"r\", \"2\"]}], \"+\", \"1\"}], \")\"}], \" \", \"×\", \"…\"}] array of 1s.", + "BoxObject":"RowBox[{BoxObject, \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] is an object that represents a box structure in an open notebook in the front end.", + "BoxRatios":"BoxRatios is an option for Graphics3D that gives the ratios of side lengths for the bounding box of the three‐dimensional picture. ", + "BoxStyle":"BoxStyle is an option for three-dimensional graphics functions that specifies how the bounding box should be rendered. ", + "BoxWhiskerChart":"RowBox[{BoxWhiskerChart, \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a box‐and‐whisker chart for the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{BoxWhiskerChart, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bwspec\", \"TI\"]}], \"]\"}] makes a chart with box‐and‐whisker symbol specification StyleBox[\"bwspec\", \"TI\"].\nRowBox[{BoxWhiskerChart, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] makes a chart with box‐and‐whisker symbol for each SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{BoxWhiskerChart, \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] makes a box‐and‐whisker chart from multiple groups of datasets RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "BracketingBar":"RowBox[{\"BracketingBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \" \", StyleBox[\"y\", \"TI\"], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].", + "BrayCurtisDistance":"RowBox[{\"BrayCurtisDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Bray–Curtis distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "BreadthFirstScan":"RowBox[{\"BreadthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a breadth-first scan (bfs) of the graph StyleBox[\"g\", \"TI\"] starting at the vertex StyleBox[\"s\", \"TI\"] and evaluates SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever \"SubscriptBox[\nStyleBox[\"event\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs.\nRowBox[{\"BreadthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a breadth-first scan of the whole graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"BreadthFirstScan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "Break":"RowBox[{\"Break\", \"[\", \"]\"}] exits the nearest enclosing Do, For, or While. ", + "BridgeData":"RowBox[{\"BridgeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the bridge StyleBox[\"entity\", \"TI\"].\nRowBox[{\"BridgeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified bridge entities.\nRowBox[{\"BridgeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "BrightnessEqualize":"RowBox[{\"BrightnessEqualize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adjusts the brightness across StyleBox[\"image\", \"TI\"], correcting uneven illumination.\nRowBox[{\"BrightnessEqualize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"flatfield\", \"TI\"]}], \"]\"}] uses the correction model given by StyleBox[\"flatfield\", \"TI\"], which models the variation in brightness across StyleBox[\"image\", FontFamily -> \"Times New Roman\", FontSize -> 12, FontSlant -> \"Italic\"].\nRowBox[{\"BrightnessEqualize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"flatfield\", \"TI\"], \",\", StyleBox[\"darkfield\", \"TI\"]}], \"]\"}] uses the dark environment model given by StyleBox[\"darkfield\", \"TI\"]. ", + "BroadcastStationData":"RowBox[{\"BroadcastStationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the broadcast station StyleBox[\"entity\", \"TI\"].\nRowBox[{\"BroadcastStationData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified broadcast station entities.\nRowBox[{\"BroadcastStationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Brown":"Brown represents the color brown in graphics or style specifications. ", + "BrownForsytheTest":"RowBox[{\"BrownForsytheTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of StyleBox[\"data\", \"TI\"] is 1. \nRowBox[{\"BrownForsytheTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are equal.\nRowBox[{\"BrownForsytheTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BrownForsytheTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "BrownianBridgeProcess":"RowBox[{\"BrownianBridgeProcess\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the Brownian bridge process from value StyleBox[\"a\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] to value StyleBox[\"b\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with volatility StyleBox[\"σ\", \"TR\"].\nRowBox[{RowBox[{\"BrownianBridgeProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}], \" \"}] represents the standard Brownian bridge process from value StyleBox[\"a\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] to value StyleBox[\"b\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{RowBox[{\"BrownianBridgeProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \" \"}] represents the standard Brownian bridge process pinned at 0 at times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BrownianBridgeProcess\", \"[\", \"]\"}] represents the standard Brownian bridge process pinned at 0 at time 0 and at time 1.", + "BSplineBasis":"RowBox[{\"BSplineBasis\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the zeroth uniform B-spline basis function of degree StyleBox[\"d\", \"TI\"] at StyleBox[\"x\", \"TI\"].\nRowBox[{\"BSplineBasis\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] uniform B-spline basis function of degree StyleBox[\"d\", \"TI\"].\nRowBox[{RowBox[{\"BSplineBasis\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}], \" \"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] non-uniform B-spline basis function of degree StyleBox[\"d\", \"TI\"] with knots at positions SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "BSplineCurve":"RowBox[{\"BSplineCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a graphics primitive that represents a nonuniform rational B-spline curve with control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "BSplineCurve3DBoxOptions":"RowBox[{BSplineCurve3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BSplineCurve3DBox objects.", + "BSplineCurveBoxOptions":"RowBox[{BSplineCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BSplineCurveBox objects.", + "BSplineFunction":"RowBox[{\"BSplineFunction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a B-spline function for a curve defined by the control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BSplineFunction\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] represents a B-spline function for a surface or high-dimensional manifold. ", + "BSplineSurface":"RowBox[{\"BSplineSurface\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a graphics primitive that represents a nonuniform rational B-spline surface defined by an array of RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}] control points.", + "BSplineSurface3DBoxOptions":"RowBox[{BSplineSurface3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BSplineSurface3DBox objects.", + "BubbleChart":"RowBox[{\"BubbleChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bubble chart with bubbles at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] with sizes SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BubbleChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bubble chart with bubble features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BubbleChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bubble chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BubbleChart3D":"RowBox[{\"BubbleChart3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bubble chart with bubbles at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] with sizes SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BubbleChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bubble chart with bubble features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BubbleChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bubble chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "BubbleScale":"BubbleScale is an option to BubbleChart and related functions that specifies how the scale of each bubble should be determined from the value of each data element.", + "BubbleSizes":"BubbleSizes is an option to BubbleChart and related functions that specifies the range of sizes used for bubbles. ", + "BuildingData":"RowBox[{\"BuildingData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the building StyleBox[\"entity\", \"TI\"].\nRowBox[{\"BuildingData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified building entities.\nRowBox[{\"BuildingData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "BulletGauge":"RowBox[{\"BulletGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"reference\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a bullet gauge showing StyleBox[\"value\", \"TI\"] and StyleBox[\"reference\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"BulletGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"reference\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a bullet gauge with performance regions split at the SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BulletGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a bullet gauge with multiple values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"BulletGauge\", \"[\", RowBox[{StyleBox[\"values\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a bullet gauge with multiple references SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "BusinessDayQ":"RowBox[{\"BusinessDayQ\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] returns True if the date is a business day and returns False otherwise.", + "ButterflyGraph":"RowBox[{\"ButterflyGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the order-StyleBox[\"n\", \"TI\"] butterfly graph. \nRowBox[{\"ButterflyGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the base-StyleBox[\"b\", \"TI\"] order-StyleBox[\"n\", \"TI\"] butterfly graph. ", + "ButterworthFilterModel":"RowBox[{\"ButterworthFilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] creates a lowpass Butterworth filter of order StyleBox[\"n\", \"TI\"] and cutoff frequency of 1.\nRowBox[{\"ButterworthFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"ButterworthFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] creates a filter of a given \"\nStyleBox[\"type\", \"TI\"]\" using the specified parameters StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"ButterworthFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", + "Button":"RowBox[{\"Button\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] represents a button that is labeled with StyleBox[\"label\", \"TI\"], and evaluates StyleBox[\"action\", \"TI\"] whenever it is clicked. ", + "ButtonBar":"RowBox[{\"ButtonBar\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a bar of buttons with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] that perform actions SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] when pressed.", + "ButtonBox":"RowBox[{ButtonBox, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level box construct that represents a button in a notebook expression.", + "ButtonBoxOptions":"ButtonBoxOptions is an option that specifies settings for ButtonBox.", + "ButtonData":"ButtonData is an option for the low-level function ButtonBox that specifies the second argument to give to the ButtonFunction for the button when the button is active and is clicked. ", + "ButtonEvaluator":"ButtonEvaluator is an option for the low-level function ButtonBox that specifies where the expression constructed from ButtonFunction should be sent for evaluation. ", + "ButtonExpandable":"ButtonExpandable is an option for the low-level function ButtonBox that specifies whether the button should expand to fill any GridBox position in which it appears. ", + "ButtonFrame":"ButtonFrame is an option for the low-level function ButtonBox that specifies the type of frame to display around a button. ", + "ButtonFunction":"ButtonFunction is an option for the low-level function ButtonBox that specifies the function to execute when the button is active and is clicked. ", + "ButtonMargins":"ButtonMargins is an option for ButtonBox that specifies how much space in printer's points to leave around the contents of a button when the button is displayed. ", + "ButtonMinHeight":"ButtonMinHeight is an option for the low-level function ButtonBox that specifies the minimum total height in units of font size that should be allowed for the button. ", + "ButtonNote":"ButtonNote is an option for ButtonBox that specifies what should be displayed in the status line of the current notebook window when the button is active and the cursor is placed on top of it. ", + "ButtonNotebook":"RowBox[{\"ButtonNotebook\", \"[\", \"]\"}] gives the notebook, if any, that contains the button which initiated the current evaluation. ", + "ButtonSource":"ButtonSource is an option for the low-level function ButtonBox that specifies the first argument to give to the ButtonFunction for the button when the button is active and is clicked. ", + "ButtonStyle":"ButtonStyle is an option for ButtonBox that specifies the default properties for the button. ", + "Byte":"Byte represents a single byte of data in Read. ", + "ByteArray":"RowBox[{\"ByteArray\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs a ByteArray object containing the byte values SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ByteArray\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] constructs a ByteArray object by extracting byte values from a Base64-encoded string.", + "ByteArrayQ":"RowBox[{\"ByteArrayQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a valid ByteArray object, and False otherwise.", + "ByteArrayToString":"RowBox[{\"ByteArrayToString\", \"[\", StyleBox[\"ba\", \"TI\"], \"]\"}] returns a string by decoding the data in the byte array StyleBox[\"ba\", \"TI\"], assuming UTF-8 encoding.\nRowBox[{\"ByteArrayToString\", \"[\", RowBox[{StyleBox[\"ba\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] interprets the data in the specified character encoding.", + "ByteCount":"RowBox[{\"ByteCount\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the number of bytes used internally by StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] to store StyleBox[\"expr\", \"TI\"]. ", + "ByteOrdering":"ByteOrdering is an option for BinaryRead, BinaryWrite, and related functions that specifies what ordering of bytes should be assumed for your computer system.", + "C":"RowBox[{\"C\", \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] is the default form for the StyleBox[RowBox[{StyleBox[\"i\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] parameter or constant generated in representing the results of various symbolic computations. ", + "CachePersistence":"CachePersistence is an option to Delayed and related constructs that specifies how long to keep server-side cached versions of computations that are done.", + "CalendarConvert":"RowBox[{\"CalendarConvert\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"calendar\", \"TI\"]}], \"]\"}] converts the date object StyleBox[\"date\", \"TI\"] to the specified calendar type StyleBox[\"calendar\", \"TI\"].\nRowBox[{\"CalendarConvert\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] converts to the default calendar type.\nRowBox[{\"CalendarConvert\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"calendar\", \"TI\"]}], \"]\"}] converts SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"n\", \"TI\"]] to the specified StyleBox[\"calendar\", \"TI\"].", + "CalendarData":"RowBox[{\"CalendarData\", \"[\", \"]\"}] gives countries with prebuilt calendar schedules.\nRowBox[{\"CalendarData\", \"[\", StyleBox[\"country\", \"TI\"], \"]\"}] gives available subspecifications for StyleBox[\"country\", \"TI\"].", + "CalendarType":"CalendarType is an option that determines the calendar system in which all dates are to be interpreted and output.", + "Callout":"RowBox[{\"Callout\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] in a plot as a callout pointing to StyleBox[\"data\", \"TI\"].\nRowBox[{\"Callout\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] displays a callout with StyleBox[\"expr\", \"TI\"] at a position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Callout\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"apos\", \"TI\"]}], \"]\"}] displays a callout anchored at a position specified by StyleBox[\"apos\", \"TI\"].", + "CalloutMarker":"CalloutMarker is an option for Callout that specifies what marker to draw at the end of the leader in a callout.", + "CalloutStyle":"CalloutStyle is an option for Callout that specifies what style to use for callouts.", + "CallPacket":"RowBox[{\"CallPacket\", \"[\", RowBox[{StyleBox[\"integer\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet encapsulating a request to invoke the external function numbered StyleBox[\"integer\", \"TI\"] with the arguments contained in StyleBox[\"list\", \"TI\"].", + "CanberraDistance":"RowBox[{\"CanberraDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Canberra distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "Cancel":"RowBox[{\"Cancel\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] cancels out common factors in the numerator and denominator of StyleBox[\"expr\", \"TI\"]. ", + "CancelButton":"RowBox[{\"CancelButton\", \"[\", \"]\"}] represents a StyleBox[\"Cancel\", \"DialogElementName\"] button in a dialog that closes the dialog window when clicked.\nRowBox[{\"CancelButton\", \"[\", StyleBox[\"action\", \"TI\"], \"]\"}] represents a button labeled StyleBox[\"Cancel\", \"DialogElementName\"] that evaluates StyleBox[\"action\", \"TI\"] when clicked.\nRowBox[{\"CancelButton\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] uses StyleBox[\"label\", \"TI\"] as the label for the button.", + "CandlestickChart":"RowBox[{\"CandlestickChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"open\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"high\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"low\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"close\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a chart with candles representing open, high, low, and close prices for each date. \nRowBox[{\"CandlestickChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] makes a candlestick chart for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"]. ", + "CanonicalGraph":"RowBox[{\"CanonicalGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a canonical graph of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"CanonicalGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "CanonicalName":"RowBox[{\"CanonicalName\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the canonical name for the entity specified by StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CanonicalName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the canonical name for SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]].", + "CanonicalWarpingCorrespondence":"RowBox[{\"CanonicalWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the canonical time warping (CTW) correspondence between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"CanonicalWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"warp\", \"TI\"]}], \"]\"}] uses StyleBox[\"warp\", \"TI\"] as initial warping correspondence.\nRowBox[{\"CanonicalWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"warp\", \"TI\"], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window StyleBox[\"win\", \"TI\"] for local search.", + "CanonicalWarpingDistance":"RowBox[{\"CanonicalWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the canonical time warping (CTW) distance between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"CanonicalWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] uses StyleBox[\"init\", \"TI\"] as the initial correspondence between the two sequences.\nRowBox[{\"CanonicalWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window StyleBox[\"win\", \"TI\"] for local search.", + "CantorMesh":"RowBox[{\"CantorMesh\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a mesh region representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Cantor set. \nRowBox[{\"CantorMesh\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Cantor set in dimension StyleBox[\"d\", \"TI\"].", + "CantorStaircase":"RowBox[{\"CantorStaircase\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the Cantor staircase function RowBox[{SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"C\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", + "Cap":"RowBox[{\"Cap\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⌢\", StyleBox[\"y\", \"TI\"], \"⌢\", StyleBox[\"…\", \"TR\"]}].", + "CapForm":"RowBox[{\"CapForm\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] is a graphics primitive that specifies what type of caps should be used at the ends of lines, tubes, and related primitives.", + "CapitalDifferentialD":"RowBox[{\"CapitalDifferentialD\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"\", StyleBox[\"x\", \"TI\"]}].", + "Capitalize":"RowBox[{\"Capitalize\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which the first character has been made uppercase.\nRowBox[{\"Capitalize\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"scheme\", \"TI\"]}], \"]\"}] gives a string capitalized using the specified capitalization scheme.", + "CapsuleShape":"RowBox[{\"CapsuleShape\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents the filled capsule between points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] and radius StyleBox[\"r\", \"TI\"].", + "CaptureRunning":"CaptureRunning is an option for signal acquisition functions that specifies whether to immediately start the capture.", + "CarlemanLinearize":"RowBox[{\"CarlemanLinearize\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] Carleman linearizes the nonlinear state-space model StyleBox[\"sys\", \"TI\"] according to StyleBox[\"spec\", \"TI\"].", + "CarmichaelLambda":"RowBox[{\"CarmichaelLambda\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Carmichael function RowBox[{\"λ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}], defined as the smallest integer StyleBox[\"m\", \"TI\"] such that RowBox[{SuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"≡\", RowBox[{\"1\", \"mod\", \" \", StyleBox[\"n\", \"TI\"]}]}] for all StyleBox[\"k\", \"TI\"] relatively prime to StyleBox[\"n\", \"TI\"]. ", + "CaseOrdering":"CaseOrdering is an option for AlphabeticSort and related functions that specifies how upper versus lower case should be sorted.", + "Cases":"RowBox[{\"Cases\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{StyleBox[\"pattern\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives a list of the values of StyleBox[\"rhs\", \"TI\"] corresponding to the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives a list of all parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"pattern\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives the values of StyleBox[\"rhs\", \"TI\"] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] parts in StyleBox[\"expr\", \"TI\"] that match the pattern. \nRowBox[{\"Cases\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of Cases that can be applied to an expression.", + "CaseSensitive":"RowBox[{\"CaseSensitive\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents a string pattern that requires matching typographical case, even with the overall option setting RowBox[{\"IgnoreCase\", \"->\", \"True\"}].", + "Cashflow":"RowBox[{\"Cashflow\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a series of cash flows occurring at unit time intervals.\nRowBox[{\"Cashflow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents cash flows occurring at time intervals StyleBox[\"q\", \"TI\"].\nRowBox[{\"Cashflow\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents cash flows occurring at the specified times.", + "Casoratian":"RowBox[{\"Casoratian\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Casoratian determinant for the sequences SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … depending on StyleBox[\"n\", \"TI\"].\nRowBox[{\"Casoratian\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Casoratian determinant for the basis of the solutions of the linear difference equation StyleBox[\"eqn\", \"TI\"] involving RowBox[{StyleBox[\"y\", \"TI\"], \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \"+\", StyleBox[\"m\", \"TI\"]}], \"]\"}]. \nRowBox[{\"Casoratian\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Casoratian determinant for the system of linear difference equations StyleBox[\"eqns\", \"TI\"].", + "Catalan":"Catalan is Catalan's constant, with numerical value RowBox[{\"≃\", \"0.915966\"}]. ", + "CatalanNumber":"RowBox[{\"CatalanNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Catalan number SubscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"n\", \"TI\"]].", + "Catch":"RowBox[{\"Catch\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the argument of the first Throw generated in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Catch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns StyleBox[\"value\", \"TI\"] from the first RowBox[{\"Throw\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] for which StyleBox[\"form\", \"TI\"] matches StyleBox[\"tag\", \"TI\"]. \nRowBox[{\"Catch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}]. ", + "Catenate":"RowBox[{\"Catenate\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a single list with all elements from the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]] in order. \nRowBox[{\"Catenate\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a list of all values in order appearing in the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "CatenateLayer":"RowBox[{\"CatenateLayer\", \"[\", \"]\"}] represents a net layer that takes a list of input tensors and catenates them.\nRowBox[{\"CatenateLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that takes a list of input tensors and catenates them at level StyleBox[\"n\", \"TI\"].", + "CauchyDistribution":"RowBox[{\"CauchyDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Cauchy distribution with location parameter StyleBox[\"a\", \"TI\"] and scale parameter StyleBox[\"b\", \"TI\"].\nRowBox[{\"CauchyDistribution\", \"[\", \"]\"}] represents a Cauchy distribution with location parameter 0 and scale parameter 1.", + "CauchyWindow":"RowBox[{\"CauchyWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Cauchy window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"CauchyWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "CayleyGraph":"RowBox[{\"CayleyGraph\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns a Cayley graph representation of StyleBox[\"group\", \"TI\"].", + "CDF":"RowBox[{\"CDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the cumulative distribution function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"CDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate cumulative distribution function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"CDF\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the CDF as a pure function.", + "CDFDeploy":"RowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] in a form that can be played by WolframStyleBox[\" \", FontSlant -> \"Italic\"]CDF Player.\nRowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"notebook\", \"TI\"]}], \"]\"}] deploys a notebook.\nRowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", RowBox[{\"NotebookSelection\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}]}], \"]\"}] deploys the current selection in StyleBox[\"notebook\", \"TI\"].\nRowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"outfile\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"infile\\\",\\\"TI\\\"]\\).nb\\\"\",ShowStringCharacters->True]}], \"]\"}] deploys the notebook \"\nStyleBox[\"infile\", \"TI\"].nb\".", + "CDFInformation":"RowBox[{\"CDFInformation\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a list of properties relevant to a CDF deployed with the content StyleBox[\"expr\", \"TI\"].\nRowBox[{\"CDFInformation\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] gives usage properties for a CDF to be deployed from the given notebook.\nRowBox[{\"CDFInformation\", \"[\", RowBox[{\"NotebookSelection\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}], \"]\"}] gives CDF usage properties for only the selected cells in the given notebook.\nRowBox[{\"CDFInformation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives CDF usage properties for the named notebook or CDF file.", + "CDFWavelet":"RowBox[{\"CDFWavelet\", \"[\", \"]\"}] represents a Cohen–Daubechies–Feauveau wavelet of type \"9\/7\". \nRowBox[{\"CDFWavelet\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a Cohen–Daubechies–Feauveau wavelet of type \"\nStyleBox[\"type\", \"TI\"]\". ", + "Ceiling":"RowBox[{\"Ceiling\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the smallest integer greater than or equal to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Ceiling\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the smallest multiple of StyleBox[\"a\", \"TI\"] greater than or equal to StyleBox[\"x\", \"TI\"]. ", + "CelestialSystem":"CelestialSystem is an option for SunPosition, MoonPosition, and related functions that specifies the coordinate system to use for the results.", + "Cell":"RowBox[{\"Cell\", \"[\", StyleBox[\"contents\", \"TI\"], \"]\"}] is the low-level representation of a cell inside a StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] notebook. \nRowBox[{\"Cell\", \"[\", RowBox[{StyleBox[\"contents\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a cell in the specified style.\nRowBox[{\"Cell\", \"[\", RowBox[{StyleBox[\"contents\", \"TI\"], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a cell with multiple styles applied to it.", + "CellAutoOverwrite":"CellAutoOverwrite is an option for Cell which specifies whether an output cell should be overwritten by new output when the preceding input cell is evaluated. ", + "CellBaseline":"CellBaseline is an option for Cell which specifies where the baseline of the cell should be assumed to be when it appears inside another cell. ", + "CellBracketOptions":"CellBracketOptions is an option for cells that specifies settings for cell brackets.", + "CellChangeTimes":"CellChangeTimes is an option to Cell that specifies when changes were made to the cell.", + "CellContext":"CellContext is an option for Cell which specifies the context to use for the evaluation of the contents of the cell.", + "CellDingbat":"CellDingbat is an option for Cell which specifies what dingbat to use to emphasize a cell. ", + "CellDynamicExpression":"CellDynamicExpression is an option for cells that specifies an expression to be dynamically updated whenever the cell is visible on screen.", + "CellEditDuplicate":"CellEditDuplicate is an option for Cell which specifies whether the front end should make a copy of the cell before actually applying any changes in its contents that you request. ", + "CellEpilog":"CellEpilog is an option for Cell which gives an expression to evaluate after each ordinary evaluation of the contents of the cell.", + "CellEvaluationDuplicate":"CellEvaluationDuplicate is an option for Cell which specifies whether the front end should make a copy of the cell before performing any evaluation of its contents that you request. ", + "CellEvaluationFunction":"CellEvaluationFunction is an option for Cell that gives a function to be applied to every expression from the cell that is sent to the kernel for ordinary evaluation. ", + "CellEventActions":"CellEventActions is an option for Cell that gives a list of actions to perform when specified events occur in connection with a cell in a notebook. ", + "CellFrame":"CellFrame is an option for Cell that specifies whether a frame should be drawn around a cell. ", + "CellFrameColor":"CellFrameColor is an option that specifies the color of the frame around a cell.", + "CellFrameLabelMargins":"CellFrameLabelMargins is an option for cells that specifies the absolute margins in printer's points between a cell's frame and the labels around the frame.", + "CellFrameLabels":"CellFrameLabels is an option that specifies the labels associated with the frame around a cell.", + "CellFrameMargins":"CellFrameMargins is an option for Cell that specifies the absolute margins in printer’s points to leave inside a frame that is drawn around a cell. ", + "CellGroup":"RowBox[{\"CellGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an open group of cells that can appear in a StyleBox[\"Wolfram System\", \"RebrandingTerm\"] notebook.\nRowBox[{\"CellGroup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"1\"}], \"]\"}] gives a cell group in which only the first cell is open.\nRowBox[{\"CellGroup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"-\", \"1\"}]}], \"]\"}] gives a cell group in which only the last cell is open.\nRowBox[{\"CellGroup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a cell group in which cells SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are open. ", + "CellGroupData":"RowBox[{\"CellGroupData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a low-level construct that represents an open group of cells in a notebook. \nRowBox[{\"CellGroupData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"status\", \"TI\"]}], \"]\"}] represents a cell group that is open or closed according to the value of StyleBox[\"status\", \"TI\"].\nRowBox[{\"CellGroupData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a cell group with cells at positions SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … open. ", + "CellGrouping":"CellGrouping is a notebook option that specifies how cells in the notebook should be assembled into groups. ", + "CellGroupingRules":"CellGroupingRules is an option for cells that specifies the rules used for grouping a cell.", + "CellHorizontalScrolling":"CellHorizontalScrolling is an option for cells that specifies whether the contents of a cell can be scrolled from left to right using the horizontal scroll bar of the notebook.", + "CellID":"CellID is an option for Cell that specifies a unique ID number for a cell.", + "CellLabel":"CellLabel is an option for Cell which gives the label to use for a particular cell. ", + "CellLabelAutoDelete":"CellLabelAutoDelete is an option for Cell which specifies whether a label for the cell should be automatically deleted if the contents of the cell are modified or the notebook containing the cell is saved in a file. ", + "CellLabelMargins":"CellLabelMargins is an option for cells that specifies the absolute margins in printer's points around a cell label.", + "CellLabelPositioning":"CellLabelPositioning is an option for cells that specifies where the label for a cell is positioned.", + "CellLabelStyle":"CellLabelStyle is an option for Cell that specifies the style to use in displaying cell labels marking inputs and outputs.", + "CellMargins":"CellMargins is an option for Cell that specifies the absolute margins in printer's points to leave around a cell. ", + "CellObject":"RowBox[{\"CellObject\", \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] is an object that represents a cell in an open notebook in the front end.", + "CellOpen":"CellOpen is an option for Cell that specifies whether the contents of a cell should be explicitly displayed. ", + "CellPrint":"RowBox[{\"CellPrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] inserts StyleBox[\"expr\", \"TI\"] as a complete cell in the current notebook just below the cell being evaluated. \nRowBox[{\"CellPrint\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] inserts a sequence of cells. ", + "CellProlog":"CellProlog is an option to Cell that gives an expression to evaluate before each ordinary evaluation of the contents of the cell.", + "Cells":"RowBox[{\"Cells\", \"[\", \"]\"}] returns a list of CellObject expressions corresponding to cells in the current notebook.\nRowBox[{\"Cells\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the list of CellObject expressions in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"Cells\", \"[\", RowBox[{\"NotebookSelection\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}], \"]\"}] returns the list of CellObject expressions for currently selected cells.", + "CellSize":"CellSize is an option for cells that specifies the width and height of an inline cell.", + "CellStyle":"CellStyle is a setting for functions such as NotebookFind and Cells that specifies the name of a cell style to search for in a notebook.", + "CellTags":"CellTags is an option for Cell that gives a list of tags to associate with a cell. ", + "CellularAutomaton":"RowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps. \nRowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] gives the result of evolving StyleBox[\"init\", \"TI\"] for one step. \nRowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"xspec\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives only those parts of the evolution specified by StyleBox[\"tspec\", \"TI\"], StyleBox[\"xspec\", \"TI\"], etc. \nRowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", \"All\", \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes at each step all cells that could be affected over the course of StyleBox[\"t\", \"TI\"] steps. \nRowBox[{\"CellularAutomaton\", \"[\", StyleBox[\"rule\", \"TI\"], \"]\"}] is an operator form of CellularAutomaton that represents one step of evolution.", + "CensoredDistribution":"RowBox[{\"CensoredDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution of values that come from StyleBox[\"dist\", \"TI\"] and are censored to be between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"CensoredDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution of values that come from the multivariate distribution StyleBox[\"dist\", \"TI\"] and are censored to be between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc.", + "Censoring":"RowBox[{\"Censoring\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a censored event time StyleBox[\"t\", \"TI\"] with censoring StyleBox[\"c\", \"TI\"].\nRowBox[{\"Censoring\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a vector of censored event times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] with censoring StyleBox[\"c\", \"TI\"].\nRowBox[{\"Censoring\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a vector of event times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] with corresponding censoring SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Center":"Center is a symbol that represents the center for purposes of alignment and positioning. ", + "CenterArray":"RowBox[{\"CenterArray\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a list of length StyleBox[\"n\", \"TI\"] with the elements of StyleBox[\"a\", \"TI\"] at the center and 0s elsewhere.\nRowBox[{\"CenterArray\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates an RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}] array with the array StyleBox[\"a\", \"TI\"] at the center and 0s elsewhere.\nRowBox[{\"CenterArray\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"pad\", \"TI\"]}], \"]\"}] uses StyleBox[\"pad\", \"TI\"] instead of 0 for the background.\nRowBox[{\"CenterArray\", \"[\", StyleBox[\"nspec\", \"TI\"], \"]\"}] creates an array with a single 1 at the center and 0s elsewhere.", + "CenterDot":"RowBox[{\"CenterDot\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"·\", \"y\", \"·\", \"…\"}].", + "CentralFeature":"RowBox[{\"CentralFeature\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the central feature of the elements SubscriptBox[\"x\", \"i\"].\nRowBox[{\"CentralFeature\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the StyleBox[SubscriptBox[\"v\", \"i\"], \"TI\"] corresponding to the central feature SubscriptBox[\"x\", \"i\"].\nRowBox[{\"CentralFeature\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the central feature for several different forms of StyleBox[\"data\", \"TI\"].", + "CentralMoment":"RowBox[{\"CentralMoment\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] central moment of the elements in StyleBox[\"list\", \"TI\"] with respect to their mean.\nRowBox[{\"CentralMoment\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] central moment of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"CentralMoment\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] formal central moment. ", + "CentralMomentGeneratingFunction":"RowBox[{\"CentralMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the central moment-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"CentralMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the central moment-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", + "Cepstrogram":"RowBox[{\"Cepstrogram\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] plots the array of power cepstra computed on each partition of StyleBox[\"data\", \"TI\"].\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.", + "CepstrogramArray":"RowBox[{\"CepstrogramArray\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] computes an array of cepstra on StyleBox[\"data\", \"TI\"].\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.", + "CepstrumArray":"RowBox[{\"CepstrumArray\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] computes the power cepstrum of StyleBox[\"data\", \"TI\"].\nRowBox[{\"CepstrumArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] computes the specified StyleBox[\"type\", \"TI\"] of cepstrum of StyleBox[\"data\", \"TI\"].", + "CForm":"RowBox[{\"CForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a C language version of StyleBox[\"expr\", \"TI\"]. ", + "ChampernowneNumber":"RowBox[{\"ChampernowneNumber\", \"[\", StyleBox[\"b\", \"TI\"], \"]\"}] gives the base-StyleBox[\"b\", \"TI\"] Champernowne number SubscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"b\", \"TI\"]].\nRowBox[{\"ChampernowneNumber\", \"[\", \"]\"}] gives the base-10 Champernowne number.", + "ChannelBase":"ChannelBase is an option specifying the base URI of the server to use for brokering channel communications.", + "ChannelBrokerAction":"ChannelBrokerAction is an option specifying the action to execute on the channel broker server in addition to routing a message.", + "ChannelDatabin":"ChannelDatabin is an option to ChannelListen that specifies a databin in which to store incoming messages. ", + "ChannelListen":"RowBox[{\"ChannelListen\", \"[\", StyleBox[\"channel\", \"TI\"], \"]\"}] starts listening on the specified channel, executing the default handler function for that channel whenever a message is received.\nRowBox[{\"ChannelListen\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to the association corresponding to each message received on the channel.\nRowBox[{\"ChannelListen\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", \"None\"}], \"]\"}] stores each message received on the channel, without applying any function.", + "ChannelListener":"RowBox[{\"ChannelListener\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a channel listener created by ChannelListen.", + "ChannelListeners":"RowBox[{\"ChannelListeners\", \"[\", \"]\"}] gives a list of currently active channel listeners.", + "ChannelObject":"RowBox[{\"ChannelObject\", \"[\", \"]\"}] gives a new anonymous channel specification.\nCloudObject[\"\nStyleBox[\nRowBox[{\nRowBox[{\"http\", \":\"}], \"\/\/\"}],\nAutoSpacing->False] \nStyleBox[\"…\", \"TR\"]\"] represents a channel specified by a given URI.\nRowBox[{\"ChannelObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a channel for the currently authenticated user at a relative path.\nRowBox[{\"ChannelObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the home channel of the user with Wolfram ID StyleBox[\"id\", \"TI\"]. \nRowBox[{\"ChannelObject\", \"[\", \"StyleBox[StyleBox[RowBox[{id, :, path}], TI], AutoSpacing -> False]\", \"]\"}] represents a channel for the user with the specified ID at the given path.\nRowBox[{\"ChannelObject\", \"[\", \"StyleBox[RowBox[{\/, StyleBox[abspath, TI]}], AutoSpacing -> False]\", \"]\"}] represents a channel at an absolute path on the channel broker.", + "ChannelPreSendFunction":"ChannelPreSendFunction is an option to ChannelObject and related functions that specifies a function to apply to outgoing messages before they are sent to the server.", + "ChannelReceiverFunction":"RowBox[{\"ChannelReceiverFunction\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] represents a channel receiver function that applies StyleBox[\"fun\", \"TI\"] to any channel message it receives.", + "ChannelSend":"RowBox[{\"ChannelSend\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"msg\", \"TI\"]}], \"]\"}] sends the specified message StyleBox[\"msg\", \"TI\"] to the specified channel.", + "ChannelSubscribers":"RowBox[{\"ChannelSubscribers\", \"[\", StyleBox[\"channel\", \"TI\"], \"]\"}] gives a list of users currently subscribed to the specified channel.\nRowBox[{\"ChannelSubscribers\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of subscribed users for each of the channels SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ChanVeseBinarize":"RowBox[{\"ChanVeseBinarize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds a two-level segmentation of StyleBox[\"image\", \"TI\"] by computing optimal contours around regions of consistent intensity in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ChanVeseBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] uses StyleBox[\"marker\", \"TI\"] to create an initial contour.\nRowBox[{\"ChanVeseBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] specify the Chan-Vese weights StyleBox[\"μ\", \"TR\"], StyleBox[\"ν\", \"TR\"], SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], and SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "Character":"Character represents a single character in Read. ", + "CharacterCounts":"RowBox[{\"CharacterCounts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an association whose keys are the distinct characters in StyleBox[\"string\", \"TI\"], and whose values give the number of times those characters appear in StyleBox[\"string\", \"TI\"].\nRowBox[{\"CharacterCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives counts of the distinct StyleBox[\"n\", \"TI\"]-grams consisting of runs of StyleBox[\"n\", \"TI\"] characters in StyleBox[\"string\", \"TI\"].", + "CharacterEncoding":"CharacterEncoding is an option for input and output functions which specifies what raw character encoding should be used. ", + "CharacterEncodingsPath":"CharacterEncodingsPath is a global option that specifies which directories are searched for character encoding files.", + "CharacteristicFunction":"RowBox[{\"CharacteristicFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the characteristic function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"].\nRowBox[{\"CharacteristicFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the characteristic function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "CharacteristicPolynomial":"RowBox[{\"CharacteristicPolynomial\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the characteristic polynomial for the matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"CharacteristicPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the generalized characteristic polynomial with respect to StyleBox[\"a\", \"TI\"]. ", + "CharacterName":"RowBox[{\"CharacterName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the name of the character StyleBox[\"c\", \"TI\"].\nRowBox[{\"CharacterName\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the name of the character with character code StyleBox[\"n\", \"TI\"].\nRowBox[{\"CharacterName\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a name of the specified type.", + "CharacterRange":"RowBox[{\"CharacterRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields a list of the characters in the range from \"SubscriptBox[\nStyleBox[\"c\", \"TI\"], \nStyleBox[\"1\", \"TR\"]]\" to \"SubscriptBox[\nStyleBox[\"c\", \"TI\"], \nStyleBox[\"2\", \"TR\"]]\". \nRowBox[{\"CharacterRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields a list of the characters with character codes in the range SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \".\"}]", + "Characters":"RowBox[{\"Characters\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the characters in a string. ", + "ChartBaseStyle":"ChartBaseStyle is an option for charting functions that specifies the base style for all chart elements.", + "ChartElementFunction":"ChartElementFunction is an option for charting functions such as BarChart that gives a function to use to generate the primitives for rendering each chart element.", + "ChartElements":"ChartElements is an option to charting functions such as BarChart that specifies the graphics to use as the basis for bars or other chart elements. ", + "ChartLabels":"ChartLabels is an option for charting functions that specifies what labels should be used for chart elements.", + "ChartLayout":"ChartLayout is an option to charting functions which specifies the overall layout to use.", + "ChartLegends":"ChartLegends is an option for charting functions that specifies what legends should be used for chart elements. ", + "ChartStyle":"ChartStyle is an option for charting functions that specifies styles in which chart elements should be drawn.", + "Chebyshev1FilterModel":"RowBox[{\"Chebyshev1FilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] creates a lowpass Chebyshev type 1 filter of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"Chebyshev1FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"Chebyshev1FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] creates a filter of a given \"\nStyleBox[\"type\", \"TI\"]\" using the specified parameters StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"Chebyshev1FilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", + "Chebyshev2FilterModel":"RowBox[{\"Chebyshev2FilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] creates a lowpass Chebyshev type 2 filter of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"Chebyshev2FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"Chebyshev2FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] uses the full filter specification RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}].\nRowBox[{\"Chebyshev2FilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", + "ChebyshevDistance":"RowBox[{\"ChebyshevDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Chebyshev or sup norm distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "ChebyshevT":"RowBox[{\"ChebyshevT\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Chebyshev polynomial of the first kind RowBox[{SubscriptBox[StyleBox[\"T\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "ChebyshevU":"RowBox[{\"ChebyshevU\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Chebyshev polynomial of the second kind RowBox[{SubscriptBox[StyleBox[\"U\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "Check":"RowBox[{\"Check\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], and returns the result, unless messages were generated, in which case it evaluates and returns StyleBox[\"failexpr\", \"TI\"]. \nRowBox[{\"Check\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] checks only for the specified messages. \nRowBox[{\"Check\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] checks only for messages in the named message group.", + "CheckAbort":"RowBox[{\"CheckAbort\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], returning StyleBox[\"failexpr\", \"TI\"] if an abort occurs. ", + "CheckAll":"RowBox[{\"CheckAll\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] evaluates expr and returns RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"HoldComplete\", \"[\", RowBox[{SubscriptBox[StyleBox[\"control\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"]\"}] where the SubscriptBox[StyleBox[\"control\", \"TI\"], StyleBox[\"i\", \"TI\"]] expressions are aborts, throws, or other flow control commands currently being executed (but stopped by CheckAll).", + "Checkbox":"RowBox[{\"Checkbox\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a checkbox with setting StyleBox[\"x\", \"TI\"], displayed as CheckboxBox[True] when StyleBox[\"x\", \"TI\"] is True and CheckboxBox[False] when StyleBox[\"x\", \"TI\"] is False. \nRowBox[{\"Checkbox\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being toggled if the checkbox is clicked. \nRowBox[{\"Checkbox\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a checkbox that toggles between values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]] and displays as CheckboxBox[False] and CheckboxBox[True], respectively. \nRowBox[{\"Checkbox\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a checkbox that cycles through values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] and displays as CheckboxBox[3, {1, 2, 3}] for all SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] with RowBox[{StyleBox[\"i\", \"TI\"], \">\", \"2\"}]. ", + "CheckboxBar":"RowBox[{\"CheckboxBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a checkbox bar with setting StyleBox[\"x\", \"TI\"] and with checkboxes for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to include in the list StyleBox[\"x\", \"TI\"].\nRowBox[{\"CheckboxBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the values in the list StyleBox[\"x\", \"TI\"] being reset every time a checkbox is clicked.\nRowBox[{\"CheckboxBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a checkbox bar in which the checkbox associated with value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] has label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "CheckboxBoxOptions":"RowBox[{CheckboxBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for CheckboxBox objects.", + "ChemicalData":"RowBox[{\"ChemicalData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the chemical \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"ChemicalData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a structure diagram for the chemical with the specified name.\nRowBox[{\"ChemicalData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of available chemicals in the specified class.", + "ChessboardDistance":"RowBox[{\"ChessboardDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the chessboard, Chebyshev, or sup norm distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "ChiDistribution":"RowBox[{\"ChiDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents a χ distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.", + "ChineseRemainder":"RowBox[{\"ChineseRemainder\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the smallest x with RowBox[{\"x\", \"≥\", \"0\"}] that satisfies all the integer congruences RowBox[{RowBox[{\"x\", \" \", \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}], \"\", RowBox[{SubscriptBox[\"r\", \"i\"], \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}]}].\nRowBox[{\"ChineseRemainder\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the smallest x with RowBox[{\"x\", \"≥\", \"d\"}] that satisfies all the integer congruences RowBox[{RowBox[{\"x\", \" \", \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}], \"\", RowBox[{SubscriptBox[\"r\", \"i\"], \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}]}].", + "ChiSquareDistribution":"RowBox[{\"ChiSquareDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents a SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.", + "ChoiceButtons":"RowBox[{\"ChoiceButtons\", \"[\", \"]\"}] represents a pair of StyleBox[\"OK\", \"MenuName\"] and StyleBox[\"Cancel\", \"MenuName\"] buttons that close a dialog.\nRowBox[{\"ChoiceButtons\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"ok\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"cancel\", \"TI\"]]}], \"}\"}], \"]\"}] represents StyleBox[\"OK\", \"MenuName\"] and StyleBox[\"Cancel\", \"MenuName\"] buttons that evaluate the corresponding SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] when clicked.\nRowBox[{\"ChoiceButtons\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"ok\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"cancel\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"ok\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"cancel\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses the SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] to label the buttons.", + "ChoiceDialog":"RowBox[{\"ChoiceDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] puts up a standard choice dialog that displays StyleBox[\"expr\", \"TI\"] together with StyleBox[\"OK\", \"DialogElementName\"] and StyleBox[\"Cancel\", \"DialogElementName\"] buttons, and returns True if StyleBox[\"OK\", \"DialogElementName\"] is clicked and False if StyleBox[\"Cancel\", \"DialogElementName\"] is clicked.\nRowBox[{\"ChoiceDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes buttons with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]], and returns the corresponding SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the button clicked.", + "CholeskyDecomposition":"RowBox[{\"CholeskyDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Cholesky decomposition of a matrix StyleBox[\"m\", \"TI\"]. ", + "Chop":"RowBox[{\"Chop\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces approximate real numbers in StyleBox[\"expr\", \"TI\"] that are close to zero by the exact integer 0. ", + "ChromaticityPlot":"RowBox[{\"ChromaticityPlot\", \"[\", StyleBox[\"colspace\", \"TI\"], \"]\"}] plots a 2D slice of the color space StyleBox[\"colspace\", \"TI\"]. \nRowBox[{\"ChromaticityPlot\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] plots the specific StyleBox[\"color\", \"TI\"].\nRowBox[{\"ChromaticityPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots multiple colors and color spaces.\nRowBox[{\"ChromaticityPlot\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] plots the pixels of StyleBox[\"image\", \"TI\"] as individual colors.\nRowBox[{\"ChromaticityPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"refcolspace\", \"TI\"]}], \"]\"}] uses the reference color space StyleBox[\"refcolspace\", \"TI\"].", + "ChromaticityPlot3D":"RowBox[{\"ChromaticityPlot3D\", \"[\", StyleBox[\"colspace\", \"TI\"], \"]\"}] returns a 3D gamut of the color space StyleBox[\"colspace\", \"TI\"].\nRowBox[{\"ChromaticityPlot3D\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] plots the specific StyleBox[\"color\", \"TI\"].\nRowBox[{\"ChromaticityPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots multiple colors and color spaces.\nRowBox[{\"ChromaticityPlot3D\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] plots the pixels of StyleBox[\"image\", \"TI\"] as individual colors.\nRowBox[{\"ChromaticityPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"refcolspace\", \"TI\"]}], \"]\"}] uses the reference color space StyleBox[\"refcolspace\", \"TI\"].", + "ChromaticPolynomial":"RowBox[{\"ChromaticPolynomial\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the chromatic polynomial of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ChromaticPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "Circle":"RowBox[{\"Circle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a circle of radius StyleBox[\"r\", \"TI\"] centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].\nRowBox[{\"Circle\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives a circle of radius 1. \nRowBox[{\"Circle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives an axis-aligned ellipse with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]].\nRowBox[{\"Circle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a circular or ellipse arc from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "CircleDot":"RowBox[{\"CircleDot\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊙\", \"y\", \"⊙\", \"…\"}].", + "CircleMinus":"RowBox[{\"CircleMinus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊖\", \"y\"}]. ", + "CirclePlus":"RowBox[{\"CirclePlus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊕\", StyleBox[\"y\", \"TI\"], \"⊕\", \"…\"}].", + "CirclePoints":"RowBox[{\"CirclePoints\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the positions of StyleBox[\"n\", \"TI\"] points equally spaced around the unit circle.\nRowBox[{\"CirclePoints\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions of StyleBox[\"n\", \"TI\"] points equally spaced around a circle of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"CirclePoints\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] starts at angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] with respect to the StyleBox[\"x\", \"TI\"] axis.\nRowBox[{\"CirclePoints\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"rspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] centers the circle at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].", + "CircleTimes":"RowBox[{\"CircleTimes\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"⊗\", \"x\"}].\nRowBox[{\"CircleTimes\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊗\", \"y\", \"⊗\", \"…\"}].", + "CirculantGraph":"RowBox[{\"CirculantGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the circulant graph RowBox[{SubscriptBox[\"C\", \"n\"], \"(\", \"j\", \")\"}] with StyleBox[\"n\", \"TI\"] vertices and jump StyleBox[\"j\", \"TI\"].\nRowBox[{\"CirculantGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the circulant graph RowBox[{SubscriptBox[\"C\", \"n\"], \"(\", RowBox[{SubscriptBox[\"j\", \"1\"], \",\", SubscriptBox[\"j\", \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}] with StyleBox[\"n\", \"TI\"] vertices and jumps SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "CircularOrthogonalMatrixDistribution":"RowBox[{\"CircularOrthogonalMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular orthogonal matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}].", + "CircularQuaternionMatrixDistribution":"RowBox[{\"CircularQuaternionMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular quaternion matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"], \",\", StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"]}], \"}\"}] over the field of complex numbers.", + "CircularRealMatrixDistribution":"RowBox[{\"CircularRealMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular real matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}].", + "CircularSymplecticMatrixDistribution":"RowBox[{\"CircularSymplecticMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular symplectic matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"], \",\", StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"]}], \"}\"}] over the field of complex numbers.", + "CircularUnitaryMatrixDistribution":"RowBox[{\"CircularUnitaryMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular unitary matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}].", + "Circumsphere":"RowBox[{\"Circumsphere\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"n\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] returns the RowBox[{\"Sphere\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that circumscribes the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] in SuperscriptBox[\"\", \"n\"].", + "CityData":"RowBox[{\"CityData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the city with the specified name.\nRowBox[{\"CityData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the full specifications of cities whose names are consistent with StyleBox[\"name\", \"TI\"].", + "ClassifierFunction":"RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by Classify that classifies data into classes.", + "ClassifierInformation":"RowBox[{\"ClassifierInformation\", \"[\", StyleBox[\"classifier\", \"TI\"], \"]\"}] generates a report giving information on the classifier function StyleBox[\"classifier\", \"TI\"].\nRowBox[{\"ClassifierInformation\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives information for StyleBox[\"classifier\", \"TI\"] associated with property StyleBox[\"prop\", \"TI\"].", + "ClassifierMeasurements":"RowBox[{\"ClassifierMeasurements\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives measurements associated with property StyleBox[\"prop\", \"TI\"] when StyleBox[\"classifier\", \"TI\"] is evaluated on StyleBox[\"testset\", \"TI\"].\nRowBox[{\"ClassifierMeasurements\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"]}], \"]\"}] yields a RowBox[{\"ClassifierMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to any property.", + "ClassifierMeasurementsObject":"RowBox[{\"ClassifierMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an object generated by ClassifierMeasurements that can be applied to properties.", + "Classify":"RowBox[{\"Classify\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the examples and classes given.\nRowBox[{\"Classify\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also generates a RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the examples and classes given.\nRowBox[{\"Classify\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on an association of classes with their examples.\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] attempts to classify StyleBox[\"data\", \"TI\"] using a classifier function deduced from the training set given.\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] attempts to classify StyleBox[\"data\", \"TI\"] using the built-in classifier function represented by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property of the classification associated with StyleBox[\"data\", \"TI\"].\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] takes an existing classifier function and modifies it with the new options given.", + "ClassPriors":"ClassPriors is an option for Classify and related functions that specifies explicit prior probabilities to assume for output classes, independent of anything deduced from the training set.", + "Clear":"RowBox[{\"Clear\", \"[\", RowBox[{SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears values and definitions for the SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Clear\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears values and definitions for all symbols whose names match any of the string patterns SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "ClearAll":"RowBox[{\"ClearAll\", \"[\", RowBox[{SubscriptBox[StyleBox[\"symb\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"symb\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears all values, definitions, attributes, messages, and defaults associated with symbols. \nRowBox[{\"ClearAll\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears all symbols whose names textually match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "ClearAttributes":"RowBox[{\"ClearAttributes\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"attr\", \"TI\"]}], \"]\"}] removes StyleBox[\"attr\", \"TI\"] from the list of attributes of the symbol StyleBox[\"s\", \"TI\"]. ", + "ClearCookies":"RowBox[{\"ClearCookies\", \"[\", StyleBox[\"domain\", \"TI\"], \"]\"}] clears all persistent and session cookies associated with the specified domain.\nRowBox[{\"ClearCookies\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] clears all cookies whose attributes match the specification in the association StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"ClearCookies\", \"[\", \"All\", \"]\"}] clears all persistent and session cookies for all domains.", + "ClearPermissions":"RowBox[{\"ClearPermissions\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"class\", \"TI\"]}], \"]\"}] clears permissions for the specified class of users for the cloud object StyleBox[\"obj\", \"TI\"]. \nRowBox[{\"ClearPermissions\", \"[\", StyleBox[\"class\", \"TI\"], \"]\"}] clears permissions for the cloud object corresponding to the current document.", + "ClearSystemCache":"RowBox[{\"ClearSystemCache\", \"[\", \"]\"}] clears internal system caches of stored results.", + "ClebschGordan":"RowBox[{\"ClebschGordan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the Clebsch–Gordan coefficient for the decomposition of RowBox[{RowBox[{RowBox[{\"\", \"j\"}], \",\", \"m\"}], \"〉\"}] in terms of RowBox[{RowBox[{RowBox[{RowBox[{RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"j\", \"TI\"], \"1\"]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"]}], \"〉\"}], \"\", SubscriptBox[StyleBox[\"j\", \"TI\"], \"2\"]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], \"〉\"}]. ", + "ClickPane":"RowBox[{\"ClickPane\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents a clickable pane that displays as StyleBox[\"image\", \"TI\"] and applies StyleBox[\"func\", \"TI\"] to the RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}] coordinates of each click within the pane.\nRowBox[{\"ClickPane\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] specifies the range of coordinates to use.", + "Clip":"RowBox[{\"Clip\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives StyleBox[\"x\", \"TI\"] clipped to be between RowBox[{\"-\", \"1\"}] and RowBox[{\"+\", \"1\"}]. \nRowBox[{\"Clip\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"x\", \"TI\"] for RowBox[{StyleBox[\"min\", \"TI\"], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"max\", \"TI\"]}], StyleBox[\"min\", \"TI\"] for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"min\", \"TI\"]}] and StyleBox[\"max\", \"TI\"] for RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"max\", \"TI\"]}]. \nRowBox[{\"Clip\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"min\", \"TI\"]}] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] for RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"max\", \"TI\"]}]. ", + "ClipFill":"ClipFill is an option for plotting functions that specifies what should be shown where curves or surfaces would extend beyond the plot range. ", + "ClippingStyle":"ClippingStyle is an option for plotting functions that specifies the style of what should be drawn when curves or surfaces would extend beyond the plot range. ", + "ClipPlanes":"ClipPlanes is an option to Graphics3D that specifies a list of clipping planes that can cut away portions of a 3D scene from the resulting view.", + "ClipPlanesStyle":"ClipPlanesStyle is an option to Graphics3D that specifies how clipping planes defined with the ClipPlanes option should be rendered.", + "ClipRange":"ClipRange is an option to Raster3D that specifies a rectangular region that is cut away from the resulting view.", + "Clock":"RowBox[{\"Clock\", \"[\", \"]\"}] represents a clock variable whose value cycles continuously from 0 to 1 once per second when it appears inside a dynamically updated object such as a Dynamic. \nRowBox[{\"Clock\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] cycles from 0 to StyleBox[\"t\", \"TI\"] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] cycles from 0 to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] cycles through the range SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] cycles through the range SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] over the course of RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]]}] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dv\", \"TI\"]}], \"}\"}], \"]\"}] cycles from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps of StyleBox[\"dv\", \"TI\"], spending StyleBox[\"dv\", \"TI\"] seconds at each value.\nRowBox[{\"Clock\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dv\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] cycles from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps StyleBox[\"dv\", \"TI\"] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{StyleBox[\"vals\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] goes through the cycle only StyleBox[\"n\", \"TI\"] times, then always yields only the maximum value.", + "ClockGauge":"RowBox[{\"ClockGauge\", \"[\", \"]\"}] draws an analog clock face showing the local time with hours, minutes, and seconds.\nRowBox[{\"ClockGauge\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] draws an analog clock face showing the time corresponding to an AbsoluteTime, DateObject, or TimeObject specification.\nRowBox[{\"ClockGauge\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] draws an analog clock face showing hour StyleBox[\"h\", \"TI\"], minute StyleBox[\"m\", \"TI\"], and seconds StyleBox[\"s\", \"TI\"].\nRowBox[{\"ClockGauge\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] draws an analog clock face showing the time corresponding to the date list in a DateList specification.\nRowBox[{\"ClockGauge\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] draws an analog clock face showing the time RowBox[{\"DateList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}].", + "Close":"RowBox[{\"Close\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] closes a stream or socket. ", + "CloseKernels":"RowBox[{\"CloseKernels\", \"[\", \"]\"}] terminates all parallel kernels from the list RowBox[{\"Kernels\", \"[\", \"]\"}].\nRowBox[{\"CloseKernels\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] terminates the kernel StyleBox[\"k\", \"TI\"].\nRowBox[{\"CloseKernels\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] terminates the kernels SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "ClosenessCentrality":"RowBox[{\"ClosenessCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of closeness centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ClosenessCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "Closing":"RowBox[{\"Closing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological closing of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Closing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the closing with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Closing\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies closing to an array of data.", + "ClosingAutoSave":"ClosingAutoSave is an option for notebooks that specifies whether a notebook is automatically saved when it is closed.", + "CloudAccountData":"RowBox[{\"CloudAccountData\", \"[\", \"]\"}] gives data associated with the cloud account currently being used.\nRowBox[{\"CloudAccountData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] associated with the cloud account being used.", + "CloudBase":"CloudBase is an option specifying the base URI of the server to use for cloud operations.", + "CloudConnect":"RowBox[{\"CloudConnect\", \"[\", RowBox[{StyleBox[\"userid\", \"TI\"], \",\", StyleBox[\"password\", \"TI\"]}], \"]\"}] authenticates to the Wolfram Cloud using the specified cloud user ID and password.\nRowBox[{\"CloudConnect\", \"[\", StyleBox[\"userid\", \"TI\"], \"]\"}] shows a dialog to input the password.\nRowBox[{\"CloudConnect\", \"[\", \"]\"}] shows a dialog to input both the cloud user ID and the password.", + "CloudDeploy":"RowBox[{\"CloudDeploy\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] to a new anonymous cloud object.\nRowBox[{\"CloudDeploy\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] to a cloud object at a given URI.\nRowBox[{\"CloudDeploy\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] to a given cloud object.", + "CloudDirectory":"RowBox[{\"CloudDirectory\", \"[\", \"]\"}] gives a CloudObject representing the current working directory used for cloud objects. ", + "CloudDisconnect":"RowBox[{\"CloudDisconnect\", \"[\", \"]\"}] disconnects a non-cloud instance of the Wolfram Language from the Wolfram Cloud.", + "CloudEvaluate":"RowBox[{\"CloudEvaluate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] in the cloud and returns the result.\nRowBox[{\"CloudEvaluate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the result before returning it.", + "CloudExport":"RowBox[{\"CloudExport\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] exports StyleBox[\"expr\", \"TI\"] to a new anonymous cloud object in the specified format.\nRowBox[{\"CloudExport\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] exports to a cloud object at a given URI.\nRowBox[{\"CloudExport\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] exports to a given cloud object.", + "CloudExpression":"RowBox[{\"CloudExpression\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an expression whose value is persistently stored in the cloud.\nCloudExpression[\"\nStyleBox[\"http\",\nAutoSpacing->False]\nStyleBox[\":\",\nAutoSpacing->False]\nStyleBox[\"\/\/\",\nAutoSpacing->False]\nStyleBox[\"…\", \"TR\"]\"], CloudExpression[\"\nStyleBox[\"https\",\nAutoSpacing->False]\nStyleBox[\":\",\nAutoSpacing->False]\nStyleBox[\"\/\/\",\nAutoSpacing->False]\nStyleBox[\"…\", \"TR\"]\"] represents a cloud expression with a given URI.\nRowBox[{\"CloudExpression\", \"[\", RowBox[{StyleBox[\"base\", \"TI\"], \",\", SubscriptBox[StyleBox[\"part\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"part\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the part of a cloud expression specified by the SubscriptBox[StyleBox[\"part\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "CloudExpressions":"RowBox[{\"CloudExpressions\", \"[\", \"]\"}] gives a list of named cloud expressions owned by you. \nRowBox[{\"CloudExpressions\", \"[\", \"None\", \"]\"}] gives a list of anonymous cloud expressions owned by you.\nRowBox[{\"CloudExpressions\", \"[\", \"All\", \"]\"}] gives a list of all cloud expressions owned by you.", + "CloudFunction":"RowBox[{\"CloudFunction\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] represents a pure function that evaluates RowBox[{StyleBox[\"fun\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}] in the cloud.\nRowBox[{\"CloudFunction\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] represents a function that applies the contents of the specified cloud object.\nRowBox[{\"CloudFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the result of the function before returning it.", + "CloudGet":"RowBox[{\"CloudGet\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads in a cloud object at a given URI, evaluating each expression in it and returning the last one.\nRowBox[{\"CloudGet\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] reads in a given cloud object.", + "CloudImport":"RowBox[{\"CloudImport\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] imports from a cloud object at a given URI.\nRowBox[{\"CloudImport\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements of a cloud object.\nRowBox[{\"CloudImport\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] imports from a given cloud object.", + "CloudLoggingData":"RowBox[{\"CloudLoggingData\", \"[\", \"]\"}] gives summary logging data for all your cloud objects.\nRowBox[{\"CloudLoggingData\", \"[\", StyleBox[\"category\", \"TI\"], \"]\"}] gives summary logging data for all your cloud objects of a particular category.\nRowBox[{\"CloudLoggingData\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gives summary logging data for the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"CloudLoggingData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives aggregated summary logging data for all the objects SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CloudLoggingData\", \"[\", RowBox[{StyleBox[\"objs\", \"TI\"], \",\", StyleBox[\"period\", \"TI\"]}], \"]\"}] gives summary logging data for the specified period.\nRowBox[{\"CloudLoggingData\", \"[\", RowBox[{StyleBox[\"objs\", \"TI\"], \",\", StyleBox[\"period\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives logging data elements specified by StyleBox[\"elems\", \"TI\"].", + "CloudObject":"RowBox[{\"CloudObject\", \"[\", \"]\"}] represents a new anonymous cloud object.\nCloudObject[\"StyleBox[\"http\",AutoSpacing->False]StyleBox[\":\",AutoSpacing->False]StyleBox[\"\/\/\",AutoSpacing->False]StyleBox[\"…\", \"TR\"]\"], CloudObject[\"StyleBox[\"https\",AutoSpacing->False]StyleBox[\":\",AutoSpacing->False]StyleBox[\"\/\/\",AutoSpacing->False]StyleBox[\"…\", \"TR\"]\"] represents a cloud object with a given URI.\nRowBox[{\"CloudObject\", \"[\", \"StyleBox[RowBox[{user, :, StyleBox[user, TI], \/, StyleBox[path, TI]}], AutoSpacing -> False]\", \"]\"}] represents a cloud object of a given StyleBox[\"user\", \"TI\"] with a given StyleBox[\"path\", \"TI\"].\nRowBox[{\"CloudObject\", \"[\", \"StyleBox[RowBox[{\/, StyleBox[abspath, TI]}], AutoSpacing -> False]\", \"]\"}] represents a cloud object of the currently authenticated user at an absolute path.\nRowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a cloud object of the currently authenticated user at a relative path.\nRowBox[{\"CloudObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"cbase\", \"TI\"]}], \"]\"}] represents a cloud object with a path relative to the base StyleBox[\"cbase\", \"TI\"]. ", + "CloudObjects":"RowBox[{\"CloudObjects\", \"[\", \"]\"}] gives a list of cloud objects in your current cloud directory.\nRowBox[{\"CloudObjects\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] gives a list of cloud objects in the cloud directory StyleBox[\"dir\", \"TI\"].\nRowBox[{\"CloudObjects\", \"[\", \"None\", \"]\"}] gives a list of all unnamed cloud objects owned by you.\nRowBox[{\"CloudObjects\", \"[\", RowBox[{StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] gives a list of cloud objects of the specified type.\nRowBox[{\"CloudObjects\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives a list of cloud objects matching the filters defined by the association StyleBox[\"assoc\", \"TI\"].", + "CloudPublish":"RowBox[{\"CloudPublish\", \"[\", \"]\"}] makes a public copy of the current document.\nRowBox[{\"CloudPublish\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] makes a public copy of the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"CloudPublish\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] deploys an expression to the cloud and makes it public.", + "CloudPut":"RowBox[{\"CloudPut\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to a new anonymous cloud object.\nRowBox[{\"CloudPut\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to a cloud object at a given URI.\nRowBox[{\"CloudPut\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to a given cloud object.", + "CloudSave":"RowBox[{\"CloudSave\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] saves definitions associated with the specified symbol to a new anonymous cloud object.\nRowBox[{\"CloudSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] saves definitions associated with all symbols whose names match the string pattern \"\nStyleBox[\"form\", \"TI\"]\". \nRowBox[{\"CloudSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] saves definitions associated with all symbols in the specified context. \nRowBox[{\"CloudSave\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] saves definitions associated with several objects. \nRowBox[{\"CloudSave\", \"[\", RowBox[{StyleBox[\"symspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}] appends definitions associated with StyleBox[\"symspec\", \"TI\"] to the cloud object at the given URI.\nRowBox[{\"CloudSave\", \"[\", RowBox[{StyleBox[\"symspec\", \"TI\"], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] appends definitions to the given cloud object.", + "CloudShare":"RowBox[{\"CloudShare\", \"[\", StyleBox[\"user\", \"TI\"], \"]\"}] shares the current cloud document with the specified user.\nRowBox[{\"CloudShare\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] shares the current document with all the users SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CloudShare\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"users\", \"TI\"]}], \"]\"}] shares the cloud object StyleBox[\"obj\", \"TI\"] with the specified users.", + "CloudSubmit":"RowBox[{\"CloudSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits StyleBox[\"expr\", \"TI\"] for immediate asynchronous cloud evaluation. \nRowBox[{\"CloudSubmit\", \"[\", RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in the cloud on the schedule defined by StyleBox[\"spec\", \"TI\"].", + "CloudSymbol":"RowBox[{\"CloudSymbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a symbol whose value is persistently stored in the cloud.\nRowBox[{\"CloudSymbol\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] represents a persistent symbol corresponding to the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"CloudSymbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a cloud symbol located at a given URI.", + "CloudUnshare":"RowBox[{\"CloudUnshare\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] cancels sharing of the cloud object StyleBox[\"obj\", \"TI\"] with everyone.\nRowBox[{\"CloudUnshare\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"users\", \"TI\"]}], \"]\"}] cancels sharing with the specified list of users.", + "ClusterClassify":"RowBox[{\"ClusterClassify\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", \"…\", \"]\"}] by partitioning data into clusters of similar elements.\nRowBox[{\"ClusterClassify\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", \"…\", \"]\"}] with at most StyleBox[\"n\", \"TI\"] clusters.", + "ClusterDissimilarityFunction":"ClusterDissimilarityFunction is an option for ClusteringTree and Dendrogram that specifies the intercluster dissimilarity.", + "ClusteringComponents":"RowBox[{\"ClusteringComponents\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] gives an array in which each element at the lowest level of StyleBox[\"array\", \"TI\"] is replaced by an integer index representing the cluster in which the element lies.\nRowBox[{\"ClusteringComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] clusters.\nRowBox[{\"ClusteringComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] finds clusters at the specified level in StyleBox[\"array\", \"TI\"].\nRowBox[{\"ClusteringComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds clusters of pixels with similar values in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ClusteringComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] clusters in StyleBox[\"image\", \"TI\"].", + "ClusteringTree":"RowBox[{\"ClusteringTree\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] constructs a weighted tree from the hierarchical clustering of the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ClusteringTree\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed graph.\nRowBox[{\"ClusteringTree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed graph.\nRowBox[{RowBox[{\"ClusteringTree\", \"[\", RowBox[{\"\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[RowBox[{\"2\", \"…\"}], \"TI\"]]}]}], \"\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] using labels SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed graph.\nRowBox[{\"ClusteringTree\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] constructs a weighted tree from the hierarchical clustering of StyleBox[\"data\", \"TI\"] by joining subclusters at distance less than StyleBox[\"h\", \"TI\"]. ", + "CMYKColor":"RowBox[{\"CMYKColor\", \"[\", RowBox[{StyleBox[\"cyan\", \"TI\"], \",\", StyleBox[\"magenta\", \"TI\"], \",\", StyleBox[\"yellow\", \"TI\"], \",\", StyleBox[\"black\", \"TI\"]}], \"]\"}] is a graphics directive specifying that objects that follow are to be displayed, in the color given. \nRowBox[{\"CMYKColor\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. ", + "CodeAssistOptions":"CodeAssistOptions is an option for cells that specifies settings for controlling code input assistance features, including autocompletion, function template insertion, and mouseover behaviors for code.", + "Coefficient":"RowBox[{\"Coefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the coefficient of StyleBox[\"form\", \"TI\"] in the polynomial StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Coefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the coefficient of RowBox[{StyleBox[\"form\", \"TI\"], \"^\", StyleBox[\"n\", \"TI\"]}] in StyleBox[\"expr\", \"TI\"]. ", + "CoefficientArrays":"RowBox[{\"CoefficientArrays\", \"[\", RowBox[{StyleBox[\"polys\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] gives the arrays of coefficients of the variables StyleBox[\"vars\", \"TI\"] in the polynomials StyleBox[\"polys\", \"TI\"]. ", + "CoefficientList":"RowBox[{\"CoefficientList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] gives a list of coefficients of powers of StyleBox[\"var\", \"TI\"] in StyleBox[\"poly\", \"TI\"], starting with power StyleBox[\"0\", \"TR\"]. \nRowBox[{\"CoefficientList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an array of coefficients of the SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"CoefficientList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an array of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], truncating or padding with zeros as needed.", + "CoefficientRules":"RowBox[{\"CoefficientRules\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of exponent vectors and coefficients for the monomials in StyleBox[\"poly\", \"TI\"] with respect to the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CoefficientRules\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"order\", \"TI\"]}], \"]\"}] gives the result with the monomial ordering specified by StyleBox[\"order\", \"TI\"].", + "CoifletWavelet":"RowBox[{\"CoifletWavelet\", \"[\", \"]\"}] represents a Coiflet wavelet of order 2.\nRowBox[{\"CoifletWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Coiflet wavelet of order StyleBox[\"n\", \"TI\"].", + "Collect":"RowBox[{\"Collect\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] collects together terms involving the same powers of objects matching StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Collect\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] collects together terms that involve the same powers of objects matching SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Collect\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] applies StyleBox[\"h\", \"TI\"] to the expression that forms the coefficient of each term obtained. ", + "Colon":"RowBox[{\"Colon\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"∶\", \"y\", \"∶\", \"…\"}].", + "ColonForm":"RowBox[{\"ColonForm\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] prints as RowBox[{StyleBox[\"a\", \"TI\"], \":\", \" \", StyleBox[\"b\", \"TI\"]}].", + "ColorBalance":"RowBox[{\"ColorBalance\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adjusts the colors in StyleBox[\"image\", \"TI\"] to achieve a balance that simulates the effect of neutral lighting.\nRowBox[{\"ColorBalance\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] adjusts colors in StyleBox[\"image\", \"TI\"] so that the reference color specified by StyleBox[\"ref\", \"TI\"] is mapped to white. \nRowBox[{\"ColorBalance\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"ref\", \"TI\"], \"\", StyleBox[\"target\", \"TI\"]}]}], \"]\"}] maps the reference color StyleBox[\"ref\", \"TI\"] to StyleBox[\"target\", \"TI\"].", + "ColorCombine":"RowBox[{\"ColorCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a multichannel image by combining the sequence of channels in the SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ColorCombine\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"colorspace\", \"TI\"]}], \"]\"}] combines images that represent the color components specified by StyleBox[\"colorspace\", \"TI\"].", + "ColorConvert":"RowBox[{\"ColorConvert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"colspace\", \"TI\"]}], \"]\"}] converts color specifications in StyleBox[\"expr\", \"TI\"] to refer to the color space represented by StyleBox[\"colspace\", \"TI\"].", + "ColorCoverage":"ColorCoverage is an option for DominantColors that specifies the minimum image coverage that each color cluster should have.", + "ColorData":"RowBox[{\"ColorData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"scheme\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a function that generates colors in the named color scheme when applied to parameter values. \nRowBox[{\"ColorData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"scheme\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property of a color scheme.\nRowBox[{\"ColorData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"collection\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of color schemes in a named collection.\nRowBox[{\"ColorData\", \"[\", \"]\"}] gives a list of named collections of color schemes.", + "ColorDataFunction":"RowBox[{\"ColorDataFunction\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a function that represents a color scheme. ", + "ColorDistance":"RowBox[{\"ColorDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the approximate perceptual distance between color directives SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives color distances between elements of StyleBox[\"list\", \"TI\"] and StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives color distances between corresponding elements of SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives an image whose pixel values are color distance between pixels in StyleBox[\"image\", \"TI\"] and the color StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields an image giving the pixelwise color distance between SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ColorFunction":"ColorFunction is an option for graphics functions that specifies a function to apply to determine colors of elements. ", + "ColorFunctionScaling":"ColorFunctionScaling is an option for graphics functions that specifies whether arguments supplied to a color function should be scaled to lie between 0 and 1. ", + "Colorize":"RowBox[{\"Colorize\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates an image from an integer matrix StyleBox[\"m\", \"TI\"], using colors for positive integers and black for non-positive integers.\nRowBox[{\"Colorize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] replaces intensity values in StyleBox[\"image\", \"TI\"] with pseudocolor values.", + "ColorNegate":"RowBox[{\"ColorNegate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the negative of StyleBox[\"image\", \"TI\"], in which all colors have been negated.\nRowBox[{\"ColorNegate\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] gives the negative of a color.", + "ColorOutput":"ColorOutput is an option for graphics functions that specifies the type of color output to produce. ", + "ColorProfileData":"RowBox[{\"ColorProfileData\", \"[\", RowBox[{\"<>\", RowBox[{\",\", RowBox[{StyleBox[\"\\\"Description\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"desc\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \",\", RowBox[{StyleBox[\"\\\"DeviceColorSpace\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"device\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \",\", RowBox[{StyleBox[\"\\\"IndependentColorSpace\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"ics\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}]}]}], \"]\"}] represents an ICC color profile that can convert between the independent color space \"\nStyleBox[\"ics\", \"TI\"]\" and the device-dependent color space \"\nStyleBox[\"device\", \"TI\"]\".", + "ColorQ":"RowBox[{\"ColorQ\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] yields True if StyleBox[\"color\", \"TI\"] is a valid color directive and False otherwise.", + "ColorQuantize":"RowBox[{\"ColorQuantize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives an approximation to StyleBox[\"image\", \"TI\"] that uses at most StyleBox[\"n\", \"TI\"] distinct colors.\nRowBox[{\"ColorQuantize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an image using only the StyleBox[\"n\", \"TI\"] specified colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ColorReplace":"RowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"color\", \"TI\"]}], \"]\"}] finds regions in StyleBox[\"image\", \"TI\"] whose pixel values are similar to StyleBox[\"color\", \"TI\"] and replaces them with transparent pixels.\nRowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"color\", \"TI\"], \"\", StyleBox[\"replacement\", \"TI\"]}]}], \"]\"}] replaces all pixels with the specified StyleBox[\"replacement\", \"TI\"] color.\nRowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"color\", \"TI\"], \"\", StyleBox[\"replacement\", \"TI\"]}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] replaces all pixels whose values are within a distance StyleBox[\"d\", \"TI\"] from StyleBox[\"color\", \"TI\"].\nRowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"color\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"replacement\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] does multiple color replacements.", + "ColorRules":"ColorRules is an option that specifies how colors of cells should be determined from values. ", + "ColorSelectorSettings":"ColorSelectorSettings is a global option that specifies settings for the StyleBox[\"Color\", \"DialogElementName\"] dialog box.", + "ColorSeparate":"RowBox[{\"ColorSeparate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a list of single-channel images corresponding to each of the color channels in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ColorSeparate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"colorspace\", \"TI\"]}], \"]\"}] gives a list of images corresponding to the components of StyleBox[\"colorspace\", \"TI\"].\nRowBox[{\"ColorSeparate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"channel\", \"TI\"]}], \"]\"}] returns a single-channel image containing the specified StyleBox[\"channel\", \"TI\"].", + "ColorSetter":"RowBox[{\"ColorSetter\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a color setter which displays as a swatch of the specified color and when clicked brings up a system color picker dialog.\nRowBox[{\"ColorSetter\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}], \"]\"}] uses the dynamically updated current value of StyleBox[\"color\", \"TI\"], with the value of StyleBox[\"color\", \"TI\"] being reset if the color is modified.\nRowBox[{\"ColorSetter\", \"[\", \"]\"}] gives a color setter with initial color gray.", + "ColorSetterBoxOptions":"RowBox[{ColorSetterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ColorSetterBox objects.", + "ColorSlider":"RowBox[{\"ColorSlider\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a color slider currently set to the color corresponding to StyleBox[\"color\", \"TI\"].\nRowBox[{\"ColorSlider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}], \"]\"}] uses the dynamically updated current value of StyleBox[\"color\", \"TI\"], with the value of StyleBox[\"color\", \"TI\"] being reset if the color is modified.\nRowBox[{\"ColorSlider\", \"[\", \"]\"}] represents a color slider with an initial gray color.", + "ColorSpace":"ColorSpace is an option for Image and related functions that specifies the color space to which color values refer.", + "ColorToneMapping":"RowBox[{\"ColorToneMapping\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] applies a tone mapping to color values in StyleBox[\"image\", \"TI\"] so as to make variations of luminance visible even in small intervals of the dynamic range. \nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] maps colors by compressing the overall range of luminance values by a factor StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] applies a mapping only to colors whose initial luminance lies in the specified range.\nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] takes the specified range of colors and compresses their overall luminance values by a factor StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"range\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"range\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses different compression factors SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] for different ranges SubscriptBox[StyleBox[\"range\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] uses the color compensation factor StyleBox[\"s\", \"TI\"] to correct for saturation distortion introduced during tone mapping.", + "Column":"RowBox[{\"Column\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats with the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] arranged in a column, with SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] above SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. \nRowBox[{\"Column\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"]}], \"]\"}] aligns each element horizontally in the specified way. \nRowBox[{\"Column\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"], \",\", StyleBox[\"spacing\", \"TI\"]}], \"]\"}] leaves the specified number of StyleBox[\"x\", \"TI\"]-heights of spacing between successive elements.", + "ColumnAlignments":"ColumnAlignments is an option for the low-level function GridBox that specifies how entries in each column should be aligned. ", + "ColumnForm":"RowBox[{\"ColumnForm\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] prints as a column with SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] above SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. \nRowBox[{\"ColumnForm\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"horiz\", \"TI\"]}], \"]\"}] specifies the horizontal alignment of each element. \nRowBox[{\"ColumnForm\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"horiz\", \"TI\"], \",\", StyleBox[\"vert\", \"TI\"]}], \"]\"}] also specifies the vertical alignment of the whole column. ", + "ColumnLines":"ColumnLines is an option for the low-level function GridBox which specifies whether lines should be drawn between adjacent columns. ", + "ColumnsEqual":"ColumnsEqual is an option for the low-level function GridBox which specifies whether all columns in the grid should be assigned equal width. ", + "ColumnSpacings":"ColumnSpacings is an option for the low-level function GridBox which specifies the spaces in ems that should be inserted between adjacent columns. ", + "ColumnWidths":"ColumnWidths is an option for the low-level function GridBox which specifies the widths to use for columns. ", + "CombinerFunction":"CombinerFunction is an option for template functions that specifies how fragments should be assembled to give the result of applying a template.", + "CometData":"RowBox[{\"CometData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the comet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CometData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified comet entities.\nRowBox[{\"CometData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "CommonDefaultFormatTypes":"CommonDefaultFormatTypes is an option that specifies default formats for newly created cells.", + "Commonest":"RowBox[{\"Commonest\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the elements that are the most common in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Commonest\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the StyleBox[\"n\", \"TI\"] most common elements in StyleBox[\"list\", \"TI\"].", + "CommonestFilter":"RowBox[{\"CommonestFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"CommonestFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "CommonName":"RowBox[{\"CommonName\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the common name for the entity specified by StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CommonName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the common name for SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]].", + "CommonUnits":"RowBox[{\"CommonUnits\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] converts SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"n\", \"TI\"]] to common units across compatible dimensions.", + "CommunityBoundaryStyle":"CommunityBoundaryStyle is an option to CommunityGraphPlot that specifies how to style community boundaries.", + "CommunityGraphPlot":"RowBox[{\"CommunityGraphPlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a plot showing the community structure of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a plot for the graph StyleBox[\"g\", \"TI\"] with communities RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], ….\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a plot with highlighting features defined by the symbol wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates a plot for a graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates a plot for a graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", + "CommunityLabels":"CommunityLabels is an option to CommunityGraphPlot that controls what labels and placement to use for communities. ", + "CommunityRegionStyle":"CommunityRegionStyle is an option to CommunityGraphPlot that specifies how to style community regions.", + "CompanyData":"RowBox[{\"CompanyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the company StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CompanyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified company entities.\nRowBox[{\"CompanyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "CompatibleUnitQ":"RowBox[{\"CompatibleUnitQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]] have compatible units, and False otherwise.", + "CompilationOptions":"CompilationOptions is an option for Compile that specifies settings for the compilation process. ", + "CompilationTarget":"CompilationTarget is an option for Compile that specifies the target runtime for the compiled function. ", + "Compile":"RowBox[{\"Compile\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] creates a compiled function that evaluates StyleBox[\"expr\", \"TI\"] assuming numerical values of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Compile\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] assumes that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is of a type that matches SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Compile\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] assumes that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is a rank SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] array of objects, each of a type that matches SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Compile\", \"[\", RowBox[{StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] assumes that subexpressions in StyleBox[\"expr\", \"TI\"] that match SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] are of types that match SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Compiled":"Compiled is an option for various numerical and plotting functions which specifies whether the expressions they work with should automatically be compiled. ", + "CompiledFunction":"RowBox[{\"CompiledFunction\", \"[\", StyleBox[\"args…\", \"TI\"], \"]\"}] represents compiled code for evaluating a compiled function. ", + "Complement":"RowBox[{\"Complement\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"all\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the elements in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"all\", \"TI\"]] that are not in any of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "CompleteGraph":"RowBox[{\"CompleteGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the complete graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"K\", \"n\"].\nRowBox[{\"CompleteGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] gives the complete StyleBox[\"k\", \"TI\"]-partite graph with RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"+\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"+\", \"⋯\", \"+\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}] vertices SubscriptBox[\"K\", RowBox[{SubscriptBox[\"n\", \"1\"], \",\", SubscriptBox[\"n\", \"2\"], \",\", \"…\", \",\", SubscriptBox[\"n\", \"k\"]}]].", + "CompleteGraphQ":"RowBox[{\"CompleteGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a complete graph, and False otherwise.\nRowBox[{\"CompleteGraphQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"]}], \"]\"}] yields True if the subgraph induced by StyleBox[\"vlist\", \"TI\"] is a complete graph, and False otherwise.", + "CompleteKaryTree":"RowBox[{\"CompleteKaryTree\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the complete binary tree with StyleBox[\"n\", \"TI\"] levels.\nRowBox[{\"CompleteKaryTree\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the complete StyleBox[\"k\", \"TI\"]-ary tree with StyleBox[\"n\", \"TI\"] levels.", + "Complex":"Complex is the head used for complex numbers. ", + "Complexes":"Complexes represents the domain of complex numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Complexes\"}]. ", + "ComplexExpand":"RowBox[{\"ComplexExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands StyleBox[\"expr\", \"TI\"] assuming that all variables are real. \nRowBox[{\"ComplexExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] expands StyleBox[\"expr\", \"TI\"] assuming that variables matching any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are complex. ", + "ComplexInfinity":"ComplexInfinity represents a quantity with infinite magnitude, but undetermined complex phase. ", + "ComplexityFunction":"ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression. ", + "ComponentMeasurements":"RowBox[{\"ComponentMeasurements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"lmat\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" for components of StyleBox[\"image\", \"TI\"] indicated by the label matrix StyleBox[\"lmat\", \"TI\"].\nRowBox[{\"ComponentMeasurements\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" for connected components of StyleBox[\"image\", \"TI\"]. \nRowBox[{\"ComponentMeasurements\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] only returns measurements for components that satisfy the criterion StyleBox[\"crit\", \"TI\"].\nRowBox[{\"ComponentMeasurements\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] formats the result according to the output specification StyleBox[\"format\", \"TI\"].", + "ComposeList":"RowBox[{\"ComposeList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] generates a list of the form RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. ", + "ComposeSeries":"RowBox[{\"ComposeSeries\", \"[\", RowBox[{SubscriptBox[StyleBox[\"series\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"series\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] composes several power series. ", + "CompositeQ":"RowBox[{\"CompositeQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a composite number, and yields False otherwise. ", + "Composition":"RowBox[{\"Composition\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a composition of the functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], …. ", + "CompoundElement":"RowBox[{\"CompoundElement\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a form or interpreter specification for a list of fields or inputs that gives a list of results.\nRowBox[{\"CompoundElement\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] represents a form or interpreter specification that gives an association of results.", + "CompoundExpression":"RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \";\", StyleBox[\"…\", \"TR\"]}] evaluates the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] in turn, giving the last one as the result. ", + "CompoundPoissonDistribution":"RowBox[{\"CompoundPoissonDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents a compound Poisson distribution with rate parameter StyleBox[\"λ\", \"TR\"] and jump size distribution StyleBox[\"dist\", \"TI\"].", + "CompoundPoissonProcess":"RowBox[{\"CompoundPoissonProcess\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"jdist\", \"TI\"]}], \"]\"}] represents a compound Poisson process with rate parameter StyleBox[\"λ\", \"TR\"] and jump size distribution StyleBox[\"jdist\", \"TI\"].", + "CompoundRenewalProcess":"RowBox[{\"CompoundRenewalProcess\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"jdist\", \"TI\"]}], \"]\"}] represents a compound renewal process with renewal-time distribution StyleBox[\"rdist\", \"TI\"] and jump size distribution StyleBox[\"jdist\", \"TI\"].", + "Compress":"RowBox[{\"Compress\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a compressed representation of StyleBox[\"expr\", \"TI\"] as a string. ", + "Condition":"RowBox[{StyleBox[\"patt\", \"TI\"], \"\/;\", StyleBox[\"test\", \"TI\"]}] is a pattern which matches only if the evaluation of StyleBox[\"test\", \"TI\"] yields True. \nRowBox[{StyleBox[\"lhs\", \"TI\"], \":>\", RowBox[{StyleBox[\"rhs\", \"TI\"], \"\/;\", StyleBox[\"test\", \"TI\"]}]}] represents a rule which applies only if the evaluation of StyleBox[\"test\", \"TI\"] yields True. \nRowBox[{StyleBox[\"lhs\", \"TI\"], \":=\", RowBox[{StyleBox[\"rhs\", \"TI\"], \"\/;\", StyleBox[\"test\", \"TI\"]}]}] is a definition to be used only if StyleBox[\"test\", \"TI\"] yields True. ", + "ConditionalExpression":"RowBox[{\"ConditionalExpression\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] is a symbolic construct that represents the expression StyleBox[\"expr\", \"TI\"] when the condition StyleBox[\"cond\", \"TI\"] is True.", + "Conditioned":"RowBox[{\"Conditioned\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"expr\", \"TI\"], \"\", StyleBox[\"cond\", \"TI\"]}] represents StyleBox[\"expr\", \"TI\"] conditioned by the predicate StyleBox[\"cond\", \"TI\"].", + "Cone":"RowBox[{\"Cone\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a cone with a base of radius StyleBox[\"r\", \"TI\"] centered at RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \")\"}] and a tip at RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \")\"}]. \nRowBox[{\"Cone\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \"]\"}] represents a cone with a base of radius 1.", + "ConfidenceLevel":"ConfidenceLevel is an option for LinearModelFit and other fitting functions that specifies the level to use in various confidence and prediction intervals and bands.", + "ConfidenceRange":"ConfidenceRange is an option for SurvivalModelFit and other functions that specifies the range over which simultaneous confidence intervals and bands are computed.", + "ConfidenceTransform":"ConfidenceTransform is an option for functions such as SurvivalModelFit that specifies the transformation used for confidence intervals and bands.", + "ConfigurationPath":"ConfigurationPath is a global option that specifies which directories are searched for systemwide configuration information.", + "ConformAudio":"RowBox[{\"ConformAudio\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns a list of audio objects where all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]] are made to have conforming properties, including duration, data type, and number of channels.\nRowBox[{\"ConformAudio\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] returns all audio objects of the specified StyleBox[\"spec\", \"TI\"].", + "ConformImages":"RowBox[{\"ConformImages\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns a list of images where all SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] are made to have conforming properties, including dimensions, data type, color space, and interleaving.\nRowBox[{\"ConformImages\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] returns all images of the specified StyleBox[\"spec\", \"TI\"].\nRowBox[{\"ConformImages\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"fitting\", \"TI\"]}], \"]\"}] resizes images using the specified StyleBox[\"fitting\", \"TI\"] method.", + "Congruent":"RowBox[{\"Congruent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\", FontSize -> 10]}], \"]\"}] displays as RowBox[{\"x\", \"≡\", \"y\", \"≡\", \"…\"}].", + "ConicHullRegion":"RowBox[{\"ConicHullRegion\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"m\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull region passing through points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ConicHullRegion\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull region passing through the point StyleBox[\"p\", \"TI\"] and parallel to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ConicHullRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"m\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull plus the conic hull generated by the vectors SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"ConicHullRegion\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull plus the conic hull generated by the vectors SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].", + "Conjugate":"RowBox[{\"Conjugate\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] or RowBox[{StyleBox[\"z\", \"TI\"], \"\"}] gives the complex conjugate of the complex number StyleBox[\"z\", \"TI\"]. ", + "ConjugateTranspose":"RowBox[{\"ConjugateTranspose\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] or SuperscriptBox[\"m\", \"\"] gives the conjugate transpose of m. ", + "Conjunction":"RowBox[{\"Conjunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the conjunction of StyleBox[\"expr\", \"TI\"] over all choices of the Boolean variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Connect":"Connect is a setting for the LinkMode option of LinkOpen. LinkMode->Connect causes a link to be created that will connect to a link listening on a named port.", + "ConnectedComponents":"RowBox[{\"ConnectedComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"ConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"ConnectedComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "ConnectedGraphComponents":"RowBox[{\"ConnectedGraphComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"ConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"ConnectedGraphComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "ConnectedGraphQ":"RowBox[{\"ConnectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is connected, and False otherwise.", + "ConnectedMeshComponents":"RowBox[{\"ConnectedMeshComponents\", \"[\", StyleBox[\"mr\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of disjoint path connected meshed regions.", + "ConnectLibraryCallbackFunction":"RowBox[{\"ConnectLibraryCallbackFunction\", \"[\", RowBox[{StyleBox[\"mname\", \"TI\"], \",\", StyleBox[\"cf\", \"TI\"]}], \"]\"}] connects a CompiledFunction StyleBox[\"cf\", \"TI\"] with the library callback manager with name StyleBox[\"mname\", \"TI\"].", + "ConnectSystemModelComponents":"RowBox[{\"ConnectSystemModelComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"∈\", SubscriptBox[StyleBox[\"comp\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TI\"]].StyleBox[\"a\", \"TI\"], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], \"2\"].StyleBox[\"b\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a system model by connecting connector \"StyleBox[\"a\", \"TI\"]\" of component \"SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]\" with connector \"StyleBox[\"b\", \"TI\"]\" of component \"StyleBox[\"c2\", \"TI\"]\" etc.", + "ConnesWindow":"RowBox[{\"ConnesWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Connes window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"ConnesWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "ConoverTest":"RowBox[{\"ConoverTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are equal.\nRowBox[{\"ConoverTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ConoverTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Constant":"Constant is an attribute that indicates zero derivative of a symbol with respect to all parameters. ", + "ConstantArray":"RowBox[{\"ConstantArray\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of StyleBox[\"n\", \"TI\"] copies of the element StyleBox[\"c\", \"TI\"].\nRowBox[{\"ConstantArray\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates an RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}] array of nested lists containing copies of the element StyleBox[\"c\", \"TI\"].", + "ConstantArrayLayer":"RowBox[{\"ConstantArrayLayer\", \"[\", \"]\"}] represents a layer that has no input and produces as output a constant array.\nRowBox[{\"ConstantArrayLayer\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] includes options for initial value of the array or output size.", + "ConstantImage":"RowBox[{\"ConstantImage\", \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified StyleBox[\"size\", \"TI\"] with constant pixel values of StyleBox[\"val\", \"TI\"].\nRowBox[{\"ConstantImage\", \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an image converted to the specified type.", + "ConstantPlusLayer":"RowBox[{\"ConstantPlusLayer\", \"[\", \"]\"}] represents a layer that adds a learnable bias to its input.\nRowBox[{\"ConstantPlusLayer\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] includes options for initial bias and other parameters. ", + "ConstantRegionQ":"RowBox[{\"ConstantRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if the StyleBox[\"reg\", \"TI\"] is a constant region and False otherwise.", + "Constants":"Constants is an option for Dt which gives a list of objects to be taken as constants. ", + "ConstantTimesLayer":"RowBox[{\"ConstantTimesLayer\", \"[\", \"]\"}] represents a layer that multiplies its input by a learnable scaling tensor.\nRowBox[{\"ConstantTimesLayer\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] includes options for initial scaling and other parameters. ", + "ConstellationData":"RowBox[{\"ConstellationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the constellation StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ConstellationData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified constellation entities.\nRowBox[{\"ConstellationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Construct":"RowBox[{\"Construct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}].\nRowBox[{\"Construct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}] gives RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}].", + "Containing":"RowBox[{\"Containing\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"outer\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"inner\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents an object of type StyleBox[\"outer\", \"TI\"] containing objects of type StyleBox[\"inner\", \"TI\"].", + "ContainsAll":"RowBox[{\"ContainsAll\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains all of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsAll\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains all of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ContainsAny":"RowBox[{\"ContainsAny\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains any of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsAny\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains any of the elements in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ContainsExactly":"RowBox[{\"ContainsExactly\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains exactly the same elements as SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsExactly\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains exactly the same elements as SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ContainsNone":"RowBox[{\"ContainsNone\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains none of the elements in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsNone\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains none of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ContainsOnly":"RowBox[{\"ContainsOnly\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains only elements that appear in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsOnly\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains only elements that appear in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ContentFieldOptions":"ContentFieldOptions is an option for CreateSearchIndex and related functions that allows options to be specified for handling different fields in content that is being indexed.", + "ContentLocationFunction":"ContentLocationFunction is an option to CreateSearchIndex and related functions that specifies how to determine locations to be used for hyperlinks and related constructs in the resulting index.", + "ContentObject":"RowBox[{\"ContentObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a content object whose content is StyleBox[\"string\", \"TI\"].\nRowBox[{\"ContentObject\", \"[\", RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] gives a content object whose content is stored in the specified file.\nRowBox[{\"ContentObject\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a content object with a sequence of fields with names SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ContentPadding":"ContentPadding is an option for objects that can be displayed with frames that specifies whether the vertical margins should shrink wrap tightly around the contents.", + "ContentSelectable":"ContentSelectable is an option to constructs such as Inset, Graphics, and GraphicsGroup that specifies whether and how content within them should be selectable. ", + "ContentSize":"ContentSize is an option for Manipulate and other functions that specifies the size of the content area to use.", + "Context":"RowBox[{\"Context\", \"[\", \"]\"}] gives the current context. \nRowBox[{\"Context\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the context in which a symbol appears. ", + "Contexts":"RowBox[{\"Contexts\", \"[\", \"]\"}] gives a list of all contexts. \nRowBox[{\"Contexts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the contexts that match the string. ", + "ContextToFileName":"RowBox[{\"ContextToFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the string specifying the file name that is by convention associated with a particular context.", + "Continue":"RowBox[{\"Continue\", \"[\", \"]\"}] exits to the nearest enclosing Do, For, or While in a procedural program. ", + "ContinuedFraction":"RowBox[{\"ContinuedFraction\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of the first StyleBox[\"n\", \"TI\"] terms in the continued fraction representation of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"ContinuedFraction\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] generates a list of all terms that can be obtained given the precision of StyleBox[\"x\", \"TI\"]. ", + "ContinuedFractionK":"RowBox[{\"ContinuedFractionK\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the continued fraction RowBox[{SubsuperscriptBox[\"Κ\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"f\", \"\/\", \"g\"}]}].\nRowBox[{\"ContinuedFractionK\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the continued fraction RowBox[{SubsuperscriptBox[\"Κ\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"1\", \"\/\", \"g\"}]}].", + "ContinuousAction":"ContinuousAction is an option for Manipulate, Slider, and related functions that specifies whether action should be taken continuously while controls are being moved.", + "ContinuousMarkovProcess":"RowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a continuous-time finite-state Markov process with transition rate matrix StyleBox[\"q\", \"TI\"] and initial state SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a Markov process with initial state probability vector SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Markov process with transition matrix StyleBox[\"m\", \"TI\"] and transition rates StyleBox[\"μ\", \"TR\"].\nRowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] represents a Markov process transition rate matrix from the graph StyleBox[\"g\", \"TI\"]. ", + "ContinuousTask":"RowBox[{\"ContinuousTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents a task in which StyleBox[\"expr\", \"TI\"] is continuously reevaluated.\nRowBox[{\"ContinuousTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"]\"}] represents a task in which StyleBox[\"expr\", \"TI\"] is continuously reevaluated until the time specified by StyleBox[\"end\", \"TI\"].\nRowBox[{\"ContinuousTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"tspan\", \"TI\"]}], \"]\"}] represents a task in which StyleBox[\"expr\", \"TI\"] is continuously reevaluated over the time span StyleBox[\"tspan\", \"TI\"].", + "ContinuousTimeModelQ":"RowBox[{\"ContinuousTimeModelQ\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives True if StyleBox[\"lsys\", \"TI\"] is a continuous-time systems model, and False otherwise.", + "ContinuousWaveletData":"RowBox[{\"ContinuousWaveletData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"oct\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"voc\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"->\", SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] yields a continuous wavelet data object with wavelet coefficients SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to octave and voice RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"oct\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"voc\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] and wavelet StyleBox[\"wave\", \"TI\"].", + "ContinuousWaveletTransform":"RowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the continuous wavelet transform of a list of values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the continuous wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"noct\", \"TI\"], \",\", StyleBox[\"nvoc\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the continuous wavelet transform using StyleBox[\"noct\", \"TI\"] octaves with StyleBox[\"nvoc\", \"TI\"] voices per octave.\nRowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"sound\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the continuous wavelet transform of sampled sound.", + "ContourDetect":"RowBox[{\"ContourDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to the zeros and zero crossings in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ContourDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"delta\", \"TI\"]}], \"]\"}] treats values in StyleBox[\"image\", \"TI\"] that are smaller in absolute value than StyleBox[\"delta\", \"TI\"] as zero.\nRowBox[{\"ContourDetect\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a binary sparse array in which 1 corresponds to zeros and zero crossings in StyleBox[\"array\", \"TI\"]. ", + "ContourGraphics":"RowBox[{\"ContourGraphics\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a representation of a contour plot. ", + "ContourLabels":"ContourLabels is an option for contour plots that specifies how to label contours. ", + "ContourLines":"ContourLines is an option for contour plots that specifies whether to draw explicit contour lines. ", + "ContourPlot":"RowBox[{\"ContourPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a contour plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"ContourPlot\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"==\", StyleBox[\"g\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots contour lines for which RowBox[{StyleBox[\"f\", \"TI\"], \"=\", StyleBox[\"g\", \"TI\"]}]. \nRowBox[{\"ContourPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"==\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"==\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several contour lines. \nRowBox[{\"ContourPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", + "ContourPlot3D":"RowBox[{\"ContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] produces a three-dimensional contour plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"]. \nRowBox[{\"ContourPlot3D\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"==\", StyleBox[\"g\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots the contour surface for which RowBox[{\"f\", \"=\", \"g\"}]. ", + "Contours":"Contours is an option for contour plots that specifies the contours to draw. ", + "ContourShading":"ContourShading is an option for contour plots that specifies how the regions between contour lines should be shaded. ", + "ContourStyle":"ContourStyle is an option for contour plots that specifies the style in which contour lines or surfaces should be drawn. ", + "ContraharmonicMean":"RowBox[{\"ContraharmonicMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the contraharmonic mean of the values in StyleBox[\"list\", \"TI\"].\nRowBox[{\"ContraharmonicMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the order StyleBox[\"p\", \"TI\"] Lehmer contraharmonic mean.", + "ContrastiveLossLayer":"RowBox[{\"ContrastiveLossLayer\", \"[\", \"]\"}] represents a loss layer that computes a loss based on a distance metric and a target that specifies whether the distance should be minimized or maximized.\nRowBox[{\"ContrastiveLossLayer\", \"[\", StyleBox[\"margin\", \"TI\"], \"]\"}] specifies a distance above which the loss is zero for True targets.", + "Control":"RowBox[{\"Control\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"}\"}], \"]\"}] represents an interactive control for the variable StyleBox[\"u\", \"TI\"] in the domain StyleBox[\"dom\", \"TI\"], with the type of control chosen to be appropriate for the domain specified.\nRowBox[{\"Control\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"]}], \"}\"}], \"]\"}] represents a control with initial value SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]].", + "ControlActive":"RowBox[{\"ControlActive\", \"[\", RowBox[{StyleBox[\"act\", \"TI\"], \",\", StyleBox[\"norm\", \"TI\"]}], \"]\"}] evaluates to StyleBox[\"act\", \"TI\"] if a control that affects StyleBox[\"act\", \"TI\"] is actively being used, and to StyleBox[\"norm\", \"TI\"] otherwise.", + "ControllabilityGramian":"RowBox[{\"ControllabilityGramian\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the controllability Gramian of the state-space model StyleBox[\"ssm\", \"TI\"].", + "ControllabilityMatrix":"RowBox[{\"ControllabilityMatrix\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the controllability matrix of the state-space model StyleBox[\"ssm\", \"TI\"].", + "ControllableDecomposition":"RowBox[{\"ControllableDecomposition\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] yields the controllable subsystem of the state-space model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"ControllableDecomposition\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the new state variables SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ControllableModelQ":"RowBox[{\"ControllableModelQ\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] yields True if the state-space model StyleBox[\"sys\", \"TI\"] is controllable, and False otherwise.\nRowBox[{\"ControllableModelQ\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"sub\", \"TI\"]}], \"}\"}], \"]\"}] yields True if the subsystem StyleBox[\"sub\", \"TI\"] is controllable.", + "ControllerInformation":"RowBox[{\"ControllerInformation\", \"[\", \"]\"}] gives dynamically updated information on currently connected controller devices.", + "ControllerLinking":"ControllerLinking is an option for Manipulate, Graphics3D, Plot3D, and related functions that specifies whether to allow interactive control by external controllers.", + "ControllerManipulate":"RowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a version of StyleBox[\"expr\", \"TI\"] set up to allow interactive manipulation of the value of StyleBox[\"u\", \"TI\"] using an external controller device.\nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] allows the value of StyleBox[\"u\", \"TI\"] to vary between SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the initial value of StyleBox[\"u\", \"TI\"] to be SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] allows StyleBox[\"u\", \"TI\"] to take on discrete values SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows each of the StyleBox[\"u\", \"TI\"], StyleBox[\"v\", \"TI\"], … to be manipulated by the external controller device. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"u\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"v\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] links the parameters to the specified controllers on the external controller device.", + "ControllerMethod":"ControllerMethod is an option for Manipulate, Graphics3D, Plot3D, and related functions that specifies the default way that controls on an external controller device should apply.", + "ControllerPath":"ControllerPath is an option that gives a list of external controllers or classes of controllers to try for functions such as ControllerState, Manipulate, and Graphics3D.", + "ControllerState":"RowBox[{\"ControllerState\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the state of the control StyleBox[\"c\", \"TI\"] for the first connected controller device on which it is supported.\nRowBox[{\"ControllerState\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the states of several controls.\nRowBox[{\"ControllerState\", \"[\", RowBox[{StyleBox[\"id\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the state of control StyleBox[\"c\", \"TI\"] for controller devices with the specified identifier.\nRowBox[{\"ControllerState\", \"[\", RowBox[{StyleBox[\"id\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the states of several controls for several controller devices.", + "ControlPlacement":"ControlPlacement is an option for Manipulate, TabView, and other control objects that specifies where controls should be placed.", + "ControlsRendering":"ControlsRendering is a Style option that specifies how controls should be rendered.", + "ControlType":"ControlType is an option for Manipulate and related functions that specifies what type of controls should be displayed.", + "Convergents":"RowBox[{\"Convergents\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the convergents corresponding to the continued fraction terms StyleBox[\"list\", \"TI\"].\nRowBox[{\"Convergents\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] convergents for a number StyleBox[\"x\", \"TI\"].\nRowBox[{\"Convergents\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives if possible all convergents leading to the number StyleBox[\"x\", \"TI\"].", + "ConversionOptions":"ConversionOptions is an option to Import and Export used to pass special options to a particular format.", + "ConversionRules":"ConversionRules is an option for Cell that can be set to a list of rules specifying how the contents of the cell are to be converted to external formats. ", + "ConvertToPostScriptPacket":"ConvertToPostScriptPacket is an internal symbol used for formatting.", + "ConvexHullMesh":"RowBox[{\"ConvexHullMesh\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a BoundaryMeshRegion representing the convex hull from the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "ConvolutionLayer":"RowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents a trainable convolutional net layer having StyleBox[\"n\", \"TI\"] output channels and using kernels of size StyleBox[\"s\", \"TI\"] to compute the convolution.\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] represents a layer performing one-dimensional convolutions with kernels of size StyleBox[\"s\", \"TI\"].\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a layer performing two-dimensional convolution with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a three-dimensional convolution with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"], StyleBox[\"×\", \"TI\", FontSlant -> \"Plain\"], StyleBox[\"d\", \"TI\"]}].\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"kernel\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for padding and other parameters.", + "Convolve":"RowBox[{\"Convolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the convolution with respect to StyleBox[\"x\", \"TI\"] of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"].\nRowBox[{\"Convolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional convolution.", + "ConwayGroupCo1":"RowBox[{\"ConwayGroupCo1\", \"[\", \"]\"}] represents the sporadic simple Conway group SubscriptBox[\"Co\", StyleBox[\"1\", \"TR\"]].", + "ConwayGroupCo2":"RowBox[{\"ConwayGroupCo2\", \"[\", \"]\"}] represents the sporadic simple Conway group SubscriptBox[\"Co\", StyleBox[\"2\", \"TR\"]].", + "ConwayGroupCo3":"RowBox[{\"ConwayGroupCo3\", \"[\", \"]\"}] represents the sporadic simple Conway group SubscriptBox[\"Co\", StyleBox[\"3\", \"TR\"]].", + "CookieFunction":"CookieFunction is an option for URLRead, HTTPRequest, and related functions that gives a function to apply to each cookie received when an HTTP response is received.", + "CoordinateBoundingBox":"RowBox[{CoordinateBoundingBox, \"[\", StyleBox[\"coords\", \"TI\"], \"]\"}] gives the corners RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}] of the bounding box of the region defined by StyleBox[\"coords\", \"TI\"].\nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the region by δ in each direction.\nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads by the scaled amount StyleBox[\"s\", \"TI\"] in each direction.\nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in successive dimensions. \nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"max\"}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"max\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"min\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"min\"}], \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"max\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"max\"}], \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] ", + "CoordinateBoundingBoxArray":"RowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] generates an array of RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] coordinates with integer steps in each dimension.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses step StyleBox[\"d\", \"TI\"] in each dimension.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"Into\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}]}], \"]\"}] divides into StyleBox[\"n\", \"TI\"] equal steps in each dimension.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"]}], \"]\"}] specifies offsets to use for each coordinate point.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] expands the array by StyleBox[\"k\", \"TI\"] elements in every direction. ", + "CoordinateBounds":"RowBox[{\"CoordinateBounds\", \"[\", StyleBox[\"coords\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of the bounds in each dimension of the region defined by StyleBox[\"coords\", \"TI\"]. \nRowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the ranges of coordinates by RowBox[{\"±\", StyleBox[\"δ\", \"TR\"]}] in each dimension.\nRowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads by the scaled amount StyleBox[\"s\", \"TI\"] in each dimension.\nRowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{RowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}]}]}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]", + "CoordinateBoundsArray":"RowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an array of RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] coordinates with integer steps in each dimension.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses step StyleBox[\"d\", \"TI\"] in each dimension.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"Into\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}]}], \"]\"}] divides into StyleBox[\"n\", \"TI\"] equal steps in each dimension.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"]}], \"]\"}] specifies offsets to use for each coordinate point.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] expands the array by StyleBox[\"k\", \"TI\"] elements in every direction. ", + "CoordinateChartData":"RowBox[{\"CoordinateChartData\", \"[\", RowBox[{StyleBox[\"chart\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for StyleBox[\"chart\", \"TI\"].\nRowBox[{\"CoordinateChartData\", \"[\", RowBox[{StyleBox[\"chart\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the value of the specified property for StyleBox[\"chart\", \"TI\"] evaluated at the point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", + "CoordinatesToolOptions":"CoordinatesToolOptions is an option for Graphics that gives values of options associated with the StyleBox[\"Get Coordinates\", \"MenuName\"] tool.", + "CoordinateTransform":"RowBox[{\"CoordinateTransform\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"pt\", \"TI\"]}], \"]\"}] performs the coordinate transformation StyleBox[\"t\", \"TI\"] on the point StyleBox[\"pt\", \"TI\"].\nRowBox[{\"CoordinateTransform\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] transforms several points.", + "CoordinateTransformData":"RowBox[{\"CoordinateTransformData\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the coordinate transformation StyleBox[\"t\", \"TI\"].\nRowBox[{\"CoordinateTransformData\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the value of the property evaluated at the point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", + "CoprimeQ":"RowBox[{\"CoprimeQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] are relatively prime, and yields False otherwise. \nRowBox[{\"CoprimeQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields True if all pairs of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] are relatively prime, and yields False otherwise. ", + "Coproduct":"RowBox[{\"Coproduct\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"∐\", \"y\", \"∐\", \"…\"}].", + "CopulaDistribution":"RowBox[{\"CopulaDistribution\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a copula distribution with kernel distribution StyleBox[\"ker\", \"TI\"] and marginal distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", + "Copyable":"Copyable is an option for Cell that specifies whether a cell can be copied interactively using the front end. ", + "CopyDatabin":"RowBox[{\"CopyDatabin\", \"[\", StyleBox[\"bin\", \"TI\"], \"]\"}] creates a copy of a databin.\nRowBox[{\"CopyDatabin\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] creates a copy with the specified options.", + "CopyDirectory":"RowBox[{\"CopyDirectory\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] copies the directory SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "CopyFile":"RowBox[{\"CopyFile\", \"[\", RowBox[{SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] copies from the local or cloud file SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]] to the local or cloud file SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "CopyToClipboard":"RowBox[{\"CopyToClipboard\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces the contents of the clipboard with StyleBox[\"expr\", \"TI\"].", + "CornerFilter":"RowBox[{\"CornerFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] computes a measure for the presence of a corner for each pixel in StyleBox[\"image\", \"TI\"] and returns the result as an intensity image.\nRowBox[{\"CornerFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] detects corners at a pixel range StyleBox[\"r\", \"TI\"].", + "CornerNeighbors":"CornerNeighbors is an option for various array and image processing functions that specifies whether diagonally adjacent corners should be considered neighbors of particular elements. ", + "Correlation":"RowBox[{\"Correlation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the correlation between the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Correlation\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the correlation matrix for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"Correlation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the correlation matrix for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Correlation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Correlation\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"]. ", + "CorrelationDistance":"RowBox[{\"CorrelationDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the correlation coefficient distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "CorrelationFunction":"RowBox[{\"CorrelationFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the correlation function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"CorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the correlation function at lags StyleBox[\"hspec\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. \nRowBox[{\"CorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the correlation function at times StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. ", + "CorrelationTest":"RowBox[{\"CorrelationTest\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the correlation coefficient for a bivariate population is zero.\nRowBox[{\"CorrelationTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"ρ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests whether the correlation coefficient is SubscriptBox[StyleBox[\"ρ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"CorrelationTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether the correlation coefficients for two populations are equal.\nRowBox[{\"CorrelationTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Cos":"RowBox[{\"Cos\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cosine of StyleBox[\"z\", \"TI\"]. ", + "Cosh":"RowBox[{\"Cosh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cosine of StyleBox[\"z\", \"TI\"]. ", + "CoshIntegral":"RowBox[{\"CoshIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cosine integral RowBox[{\"Chi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "CosineDistance":"RowBox[{\"CosineDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the angular cosine distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "CosineWindow":"RowBox[{\"CosineWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a cosine window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"CosineWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the exponent StyleBox[\"α\", \"TR\"].", + "CosIntegral":"RowBox[{\"CosIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cosine integral function RowBox[{\"Ci\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "Cot":"RowBox[{\"Cot\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cotangent of StyleBox[\"z\", \"TI\"]. ", + "Coth":"RowBox[{\"Coth\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cotangent of StyleBox[\"z\", \"TI\"]. ", + "Count":"RowBox[{\"Count\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives the number of elements in StyleBox[\"list\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"Count\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives the total number of subexpressions matching StyleBox[\"pattern\", \"TI\"] that appear at the levels in StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Count\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of Count that can be applied to an expression.", + "CountDistinct":"RowBox[{\"CountDistinct\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the number of distinct elements that appear in StyleBox[\"list\", \"TI\"].", + "CountDistinctBy":"RowBox[{\"CountDistinctBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the number of distinct values of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] that occur.\nRowBox[{\"CountDistinctBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of CountDistinctBy that can be applied to an expression.", + "CounterAssignments":"CounterAssignments is an option for selections that sets the value of a specified counter.", + "CounterBoxOptions":"RowBox[{CounterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for CounterBox objects.", + "CounterFunction":"CounterFunction is an option for counters that specifies the symbols used to display the value of the counter.", + "CounterIncrements":"CounterIncrements is an option for selections that specifies whether the value of a specified counter is incremented by one.", + "CounterStyleMenuListing":"CounterStyleMenuListing is an option for cells that specifies what counter styles are listed in the StyleBox[\"Counter\", \"DialogElementName\"] popup menu of the StyleBox[\"Create Automatic Numbering Object\", \"DialogElementName\"] dialog box.", + "CountRoots":"RowBox[{\"CountRoots\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the number of real roots of the univariate function StyleBox[\"f\", \"TI\"] in StyleBox[\"x\", \"TI\"].\nRowBox[{\"CountRoots\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the number of roots between StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. ", + "CountryData":"RowBox[{\"CountryData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the country, country-like entity, or group of countries specified by \"\nStyleBox[\"tag\", \"TI\"]\".\nRowBox[{\"CountryData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dates\", \"TI\"]}], \"}\"}]}], \"]\"}] gives time series for certain economic and other properties.", + "Counts":"RowBox[{\"Counts\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives an association whose keys are the distinct elements of StyleBox[\"list\", \"TI\"], and whose values give the number of times those elements appear in StyleBox[\"list\", \"TI\"].", + "CountsBy":"RowBox[{\"CountsBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an association whose keys are the distinct values of the RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], and whose values give the number of times these RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] values appear.\nRowBox[{\"CountsBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of CountsBy that can be applied to an expression.", + "Covariance":"RowBox[{\"Covariance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the covariance between the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Covariance\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the covariance matrix for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"Covariance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the covariance matrix for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Covariance\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the covariance matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Covariance\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] covariance for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"]. ", + "CovarianceEstimatorFunction":"CovarianceEstimatorFunction is an option for generalized linear model fitting functions that specifies the estimator for the parameter covariance matrix.", + "CovarianceFunction":"RowBox[{\"CovarianceFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the covariance function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"CovarianceFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the covariance function at lags StyleBox[\"hspec\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. \nRowBox[{\"CovarianceFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the covariance function at times StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. ", + "CoxianDistribution":"RowBox[{\"CoxianDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], RowBox[{StyleBox[\"m\", \"TI\"], StyleBox[\"-\", \"TI\"], StyleBox[\"1\", \"TR\"]}]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represent an StyleBox[\"m\", \"TI\"]-phase Coxian distribution with phase probabilities SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]] and rates SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"i\", \"TI\"]].", + "CoxIngersollRossProcess":"RowBox[{\"CoxIngersollRossProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a Cox–Ingersoll–Ross process with long‐term mean StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], speed of adjustment StyleBox[\"θ\", \"TR\"], and initial condition SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "CoxModel":"RowBox[{\"CoxModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic proportional hazards model obtained from CoxModelFit.", + "CoxModelFit":"RowBox[{\"CoxModelFit\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] constructs a model of the baseline hazard RowBox[{SubscriptBox[StyleBox[\"h\", \"TI\"], \"0\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}] for events times SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CoxModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[\"ξ\", \"11\"], \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ξ\", \"TR\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"p\", \"TI\"]}]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"ξ\", \"TR\"], RowBox[{\"n\", \" \", StyleBox[\"1\", \"TR\"]}]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ξ\", \"TR\"], StyleBox[\"np\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}]}], \"]\"}] constructs a Cox model of the form RowBox[{RowBox[{SubscriptBox[StyleBox[\"h\", \"TI\"], \"0\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}], \" \", RowBox[{\"exp\", \"(\", RowBox[{RowBox[{SubscriptBox[\"β\", \"1\"], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", \"…\", \"+\", RowBox[{SubscriptBox[\"β\", StyleBox[\"m\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"m\", \"TI\"]]}]}], \")\"}]}], where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].", + "CramerVonMisesTest":"RowBox[{\"CramerVonMisesTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Cramér–von Mises test.\nRowBox[{\"CramerVonMisesTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Cramér–von Mises test.\nRowBox[{\"CramerVonMisesTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "CreateArchive":"RowBox[{\"CreateArchive\", \"[\", StyleBox[\"source\", \"TI\"], \"]\"}] creates a compressed archive in the current directory from a file or directory specified by StyleBox[\"source\", \"TI\"].\nRowBox[{\"CreateArchive\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"path\", \"TI\"]}], \"]\"}] creates a compressed archive in the directory or file specified by StyleBox[\"path\", \"TI\"].", + "CreateCellID":"CreateCellID is an option for Notebook that specifies whether to assign a CellID to cells created in the notebook.", + "CreateChannel":"RowBox[{\"CreateChannel\", \"[\", \"]\"}] creates a new channel for channel communication, with a generated name.\nRowBox[{\"CreateChannel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"path\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a channel with the specified path relative to the home area of the currently authenticated user.\nRowBox[{\"CreateChannel\", \"[\", StyleBox[\"object\", \"TI\"], \"]\"}] creates an active channel associated with the specified channel object.", + "CreateCloudExpression":"RowBox[{\"CreateCloudExpression\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] creates a new anonymous cloud expression that stores the specified initial value.\nRowBox[{\"CreateCloudExpression\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] creates a new cloud expression with the specified name.", + "CreateDatabin":"RowBox[{\"CreateDatabin\", \"[\", \"]\"}] creates a databin in the Wolfram Data Drop and returns the corresponding Databin object.\nRowBox[{\"CreateDatabin\", \"[\", StyleBox[\"options\", \"TI\"], \"]\"}] creates a databin with the specified options.", + "CreateDataSystemModel":"RowBox[{\"CreateDataSystemModel\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a SystemModel generating a signal of values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"CreateDataSystemModel\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a model for the time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"CreateDataSystemModel\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] creates a model for the TimeSeries or InterpolatingFunction StyleBox[\"obj\", \"TI\"]. \nRowBox[{\"CreateDataSystemModel\", \"[\", RowBox[{StyleBox[\"fun\", \"TI\"], \",\", StyleBox[\"tmin\", \"TI\"], \",\", StyleBox[\"tmax\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] creates a model with samples from the function StyleBox[\"fun\", \"TI\"] between StyleBox[\"tmin\", \"TI\"] and StyleBox[\"tmax\", \"TI\"].", + "CreateDialog":"RowBox[{\"CreateDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a dialog notebook containing StyleBox[\"expr\", \"TI\"] and opens it in the front end.\nRowBox[{\"CreateDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", + "CreateDirectory":"RowBox[{\"CreateDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a directory with name StyleBox[\"dir\", \"TI\"]. \nRowBox[{\"CreateDirectory\", \"[\", \"]\"}] creates a directory in the default area for temporary directories on your computer system.", + "CreateDocument":"RowBox[{\"CreateDocument\", \"[\", \"]\"}] creates an empty document notebook and opens it in the front end.\nRowBox[{\"CreateDocument\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates and opens a document notebook containing the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"CreateDocument\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates and opens a document notebook consisting of a sequence of cells containing the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CreateDocument\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", + "CreateFile":"RowBox[{\"CreateFile\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a file with name StyleBox[\"file\", \"TI\"]. \nRowBox[{\"CreateFile\", \"[\", \"]\"}] creates a file in the default area for temporary files on your computer system.", + "CreateIntermediateDirectories":"CreateIntermediateDirectories is an option for CreateDirectory and related functions that specifies whether to create intermediate directories in a directory path specified.", + "CreateManagedLibraryExpression":"RowBox[{\"CreateManagedLibraryExpression\", \"[\", RowBox[{StyleBox[\"mname\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] creates a managed library expression by applying StyleBox[\"f\", \"TI\"] to a positive integer ID associated with a registered manager with name StyleBox[\"mname\", \"TI\"].", + "CreateNotebook":"RowBox[{\"CreateNotebook\", \"[\", \"]\"}] creates a generic empty notebook and opens it in the front end.\nRowBox[{\"CreateNotebook\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates an empty notebook of the specified type and opens it in the front end.\nRowBox[{\"CreateNotebook\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] by a version converted to be of the specified type.", + "CreatePalette":"RowBox[{\"CreatePalette\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a palette notebook containing StyleBox[\"expr\", \"TI\"], and opens it in the front end.\nRowBox[{\"CreatePalette\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates and opens a palette notebook consisting of a sequence of cells containing the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CreatePalette\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", + "CreatePermissionsGroup":"RowBox[{\"CreatePermissionsGroup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a permissions group with the specified name.\nRowBox[{\"CreatePermissionsGroup\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a permissions group consisting of the specified initial users.", + "CreateScheduledTask":"RowBox[{\"CreateScheduledTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a local scheduled task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] once per second.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] creates a task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] every StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"time\", \"TI\"], \"}\"}]}], \"]\"}] creates a task that will evaluate StyleBox[\"expr\", \"TI\"] once after StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"count\", \"TI\"]}], \"}\"}]}], \"]\"}] creates a task that will try evaluating StyleBox[\"expr\", \"TI\"] once every StyleBox[\"time\", \"TI\"] seconds up to StyleBox[\"count\", \"TI\"] times total.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"start\", \"TI\"]}], \"]\"}] creates a task that will evaluate StyleBox[\"expr\", \"TI\"] according to StyleBox[\"timespec\", \"TI\"] starting at StyleBox[\"start\", \"TI\"] time.", + "CreateSearchIndex":"RowBox[{\"CreateSearchIndex\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] creates a search index from all files in the directory StyleBox[\"dir\", \"TI\"] and its subdirectories.\nRowBox[{\"CreateSearchIndex\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"source\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"source\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a search index from all sources SubscriptBox[StyleBox[\"source\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CreateSearchIndex\", \"[\", RowBox[{StyleBox[\"sources\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the search index the specified name.", + "CreateSystemModel":"RowBox[{\"CreateSystemModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] creates a Modelica SystemModel from the systems model StyleBox[\"sys\", \"TI\"]. \nRowBox[{\"CreateSystemModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] creates a model for the system equations StyleBox[\"eqns\", \"TI\"] with independent variable StyleBox[\"t\", \"TI\"].\nRowBox[{\"CreateSystemModel\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] creates a model with type specification StyleBox[\"tspec\", \"TI\"] for variables and parameters.\nRowBox[{\"CreateSystemModel\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] creates a model with StyleBox[\"spec\", \"TI\"] for parameter values, initial values and model relations.", + "CreateTemporary":"RowBox[{\"CreateTemporary\", \"[\", \"]\"}] creates a temporary file with a unique name in the default temporary directory and returns the name of the file.", + "CreateUUID":"RowBox[{\"CreateUUID\", \"[\", \"]\"}] creates a random, universally unique UUID string.\nRowBox[{\"CreateUUID\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"base\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] appends a UUID string to the specified base string.", + "CreateWindow":"RowBox[{\"CreateWindow\", \"[\", \"]\"}] creates an empty window in the front end.\nRowBox[{\"CreateWindow\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a window displaying the notebook expression StyleBox[\"expr\", \"TI\"], and opens it in the front end.\nRowBox[{\"CreateWindow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", + "CriterionFunction":"CriterionFunction is an option in functions such as ClusterClassify that specifies the criterion to use to select a method.", + "CriticalityFailureImportance":"RowBox[{\"CriticalityFailureImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality failure importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"CriticalityFailureImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality failure importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", + "CriticalitySuccessImportance":"RowBox[{\"CriticalitySuccessImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality success importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"CriticalitySuccessImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality success importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", + "CriticalSection":"RowBox[{\"CriticalSection\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] locks the variables SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]] with respect to parallel computation, evaluates StyleBox[\"expr\", \"TI\"], then releases the SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Cross":"RowBox[{\"Cross\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the vector cross product of StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. ", + "CrossEntropyLossLayer":"RowBox[{\"CrossEntropyLossLayer\", \"[\", StyleBox[\"\\\"Index\\\"\",ShowStringCharacters->True], \"]\"}] represents a net layer that computes the cross-entropy loss by comparing input class probability vectors with indices representing the target class.\nRowBox[{\"CrossEntropyLossLayer\", \"[\", StyleBox[\"\\\"Probabilities\\\"\",ShowStringCharacters->True], \"]\"}] represents a net layer that computes the cross-entropy loss by comparing input class probability vectors with target class probability vectors.\nRowBox[{\"CrossEntropyLossLayer\", \"[\", StyleBox[\"\\\"Binary\\\"\",ShowStringCharacters->True], \"]\"}] represents a net layer that computes the binary cross-entropy loss by comparing input probability scalars with target probability scalars, where each probability represents a binary choice.", + "CrossingDetect":"RowBox[{\"CrossingDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to the zero crossings in StyleBox[\"image\", \"TI\"].\nRowBox[{\"CrossingDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"delta\", \"TI\"]}], \"]\"}] treats values in StyleBox[\"image\", \"TI\"] that are smaller in absolute value than StyleBox[\"delta\", \"TI\"] as zero.\nRowBox[{\"CrossingDetect\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a binary sparse array in which 1 corresponds to zero crossings in StyleBox[\"array\", \"TI\"]. ", + "CrossMatrix":"RowBox[{\"CrossMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix whose elements are 1 in a centered cross-shaped region that extends StyleBox[\"r\", \"TI\"] positions along each index direction, and are 0 otherwise.\nRowBox[{\"CrossMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a StyleBox[\"w\", \"TI\"]StyleBox[\"w\", \"TI\"] matrix containing a cross-shaped region of 1s.\nRowBox[{\"CrossMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields an array whose elements are 1 in a centered cross-shaped region that extends SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] positions in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", + "Csc":"RowBox[{\"Csc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cosecant of StyleBox[\"z\", \"TI\"]. ", + "Csch":"RowBox[{\"Csch\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cosecant of StyleBox[\"z\", \"TI\"]. ", + "CTCLossLayer":"RowBox[{\"CTCLossLayer\", \"[\", \"]\"}] represents a net layer that computes the connectionist temporal classification loss by comparing a sequence of class probability vectors with a sequence of indices representing the target classes.", + "CubeRoot":"RowBox[{\"CubeRoot\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the real-valued cube root of StyleBox[\"x\", \"TI\"].", + "Cubics":"Cubics is an option for functions that involve solving algebraic equations, that specifies whether explicit forms for solutions to cubic equations should be given.", + "Cuboid":"RowBox[{\"Cuboid\", \"[\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"]\"}] represents a unit hypercube with its lower corner at SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]].\nRowBox[{\"Cuboid\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}] represents an axis-aligned filled cuboid with lower corner SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]] and upper corner SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "Cumulant":"RowBox[{\"Cumulant\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] cumulant of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Cumulant\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] cumulant of the elements in the StyleBox[\"list\", \"TI\"].\nRowBox[{\"Cumulant\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] formal cumulant. ", + "CumulantGeneratingFunction":"RowBox[{\"CumulantGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the cumulant-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"CumulantGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the cumulant-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], … . ", + "Cup":"RowBox[{\"Cup\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⌣\", StyleBox[\"y\", \"TI\"], \"⌣\", \"…\"}].", + "CupCap":"RowBox[{\"CupCap\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≍\", StyleBox[\"y\", \"TI\"], \"≍\", StyleBox[\"…\", \"TR\"]}].", + "Curl":"RowBox[{\"Curl\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the curl RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}]}]}].\nRowBox[{\"Curl\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the curl RowBox[{\"(\", RowBox[{RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"3\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"3\"]}]}]}], \",\", RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"3\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"3\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}]}], \",\", RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}]}]}]}], \")\"}].\nRowBox[{\"Curl\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"TI\"]}], \"]\"}] gives the curl of the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"]×…×StyleBox[\"n\", \"TI\"] array StyleBox[\"f\", \"TI\"] with respect to the StyleBox[\"n\", \"TI\"]StyleBox[\"-dimensional\", Deletable -> True] vector RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].\nRowBox[{\"Curl\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the curl in the coordinates StyleBox[\"chart\", \"TI\"].", + "CurrencyConvert":"RowBox[{\"CurrencyConvert\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] attempts to convert the specified currency StyleBox[\"quantity\", \"TI\"] to the specified StyleBox[\"target\", \"TI\"] currency.", + "CurrentDate":"RowBox[{\"CurrentDate\", \"[\", StyleBox[\"gran\", \"TI\"], \"]\"}] gives the current date of the specified granularity type StyleBox[\"gran\", \"TI\"].\nRowBox[{\"CurrentDate\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the date of the given granularity that includes the specified date.\nRowBox[{\"CurrentDate\", \"[\", \"]\"}] gives the instant corresponding to the current date.", + "CurrentImage":"RowBox[{\"CurrentImage\", \"[\", \"]\"}] returns the current image captured from a connected camera.\nRowBox[{\"CurrentImage\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns StyleBox[\"n\", \"TI\"] sequential image frames as a list.", + "CurrentNotebookImage":"RowBox[{\"CurrentNotebookImage\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] returns an image captured from the portion of the notebook StyleBox[\"nb\", \"TI\"] that appears on your screen.\nRowBox[{\"CurrentNotebookImage\", \"[\", \"]\"}] returns an image captured from the notebook in which the function is evaluated.", + "CurrentScreenImage":"RowBox[{\"CurrentScreenImage\", \"[\", \"]\"}] returns an image captured from all current display screens on your computer. \nRowBox[{\"CurrentScreenImage\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an image captured from display screen StyleBox[\"n\", \"TI\"].\nRowBox[{\"CurrentScreenImage\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}], \"]\"}] returns the specified rectangle from the image of all current display screens.", + "CurrentValue":"RowBox[{\"CurrentValue\", \"[\", StyleBox[\"item\", \"TI\"], \"]\"}] gives the current value of StyleBox[\"item\", \"TI\"] at a location in the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> {\"Mathematica\", \" system\"}] and interface. \nRowBox[{\"CurrentValue\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"item\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] gives the current value for the feature of StyleBox[\"item\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"CurrentValue\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"item\", \"TI\"]}], \"]\"}] gives the current value of StyleBox[\"item\", \"TI\"] associated with the object StyleBox[\"obj\", \"TI\"]. ", + "Curry":"RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents an operator form of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"n\", \"TI\"] arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], RowBox[{StyleBox[\"…\", \"TR\"], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"]\"}]}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}].\nRowBox[{\"Curry\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of the function StyleBox[\"f\", \"TI\"] of two arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", StyleBox[\"y\", \"TI\"], \"]\"}], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}].\nRowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an operator form of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"n\", \"TI\"] arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], RowBox[{StyleBox[\"…\", \"TR\"], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"]\"}]}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]]}], \"]\"}].\nRowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}]}], \"]\"}] represents a StyleBox[\"k\", \"TI\"]-arguments operator form of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"n\", \"TI\"] arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}]}], \"]\"}], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], RowBox[{StyleBox[\"…\", \"TR\"], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]], \"]\"}]}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]]}], \"]\"}], with RowBox[{StyleBox[\"k\", \"TI\"], \"≥\", RowBox[{\"Max\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}]}].", + "CurvatureFlowFilter":"RowBox[{\"CurvatureFlowFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] applies a mean curvature flow filter to StyleBox[\"image\", \"TI\"].\nRowBox[{\"CurvatureFlowFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] specifies the amount of curvature flow time StyleBox[\"t\", \"TI\"] to be applied.\nRowBox[{\"CurvatureFlowFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] applies the curvature flow with a modified conductance term parametrized by StyleBox[\"k\", \"TI\"].", + "CurveClosed":"CurveClosed is an option for JoinedCurve that specifies whether individual curve components should be closed curves.", + "Cyan":"Cyan represents the color cyan in graphics or style specifications. ", + "CycleGraph":"RowBox[{\"CycleGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the cycle graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"C\", \"n\"].", + "CycleIndexPolynomial":"RowBox[{\"CycleIndexPolynomial\", \"[\", RowBox[{StyleBox[\"perm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] constructs the cycle index monomial of the permutation StyleBox[\"perm\", \"TI\"] in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CycleIndexPolynomial\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] constructs the cycle index polynomial of StyleBox[\"group\", \"TI\"] in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Cycles":"RowBox[{\"Cycles\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cyc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cyc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \"]\"}] represents a permutation with disjoint cycles SubscriptBox[StyleBox[\"cyc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "CyclicGroup":"RowBox[{\"CyclicGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the cyclic group of degree StyleBox[\"n\", \"TI\"].", + "Cyclotomic":"RowBox[{\"Cyclotomic\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] cyclotomic polynomial in StyleBox[\"x\", \"TI\"]. ", + "Cylinder":"RowBox[{\"Cylinder\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a cylinder of radius StyleBox[\"r\", \"TI\"] around the line from RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \")\"}] to RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \")\"}]. \nRowBox[{\"Cylinder\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \"]\"}] represents a cylinder of radius 1. ", + "CylindricalDecomposition":"RowBox[{\"CylindricalDecomposition\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds a decomposition of the region represented by the inequalities StyleBox[\"ineqs\", \"TI\"] into cylindrical parts whose directions correspond to the successive SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"CylindricalDecomposition\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"op\", \"TI\"]}], \"]\"}] finds a decomposition of the result of applying the topological operation StyleBox[\"op\", \"TI\"] to the region represented by the inequalities StyleBox[\"ineqs\", \"TI\"].", + "D":"RowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the partial derivative RowBox[{\"∂\", \"f\", \"\/\", \"∂\", \"x\"}]. \nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple derivative RowBox[{SuperscriptBox[\"∂\", \"n\"], \"f\", \"\/\", \"∂\", SuperscriptBox[\"x\", \"n\"]}].\nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the partial derivative RowBox[{\"⋯\", \" \", RowBox[{\"(\", RowBox[{\"∂\", RowBox[{\"\/\", RowBox[{\"∂\", \"y\"}]}]}], \")\"}], RowBox[{\"(\", RowBox[{\"∂\", RowBox[{\"\/\", RowBox[{\"∂\", \"x\"}]}]}], \")\"}], \" \", \"f\"}].\nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the multiple partial derivative RowBox[{\"⋯\", \" \", RowBox[{\"(\", RowBox[{SuperscriptBox[\"∂\", \"m\"], RowBox[{\"\/\", RowBox[{\"∂\", SuperscriptBox[\"y\", \"m\"]}]}]}], \")\"}], RowBox[{\"(\", RowBox[{SuperscriptBox[\"∂\", \"n\"], RowBox[{\"\/\", RowBox[{\"∂\", SuperscriptBox[\"x\", \"n\"]}]}]}], \")\"}], \" \", \"f\"}].\nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] for a scalar StyleBox[\"f\", \"TI\"] gives the vector derivative RowBox[{\"(\", RowBox[{RowBox[{\"∂\", RowBox[{\"f\", \"\/\", RowBox[{\"∂\", SubscriptBox[\"x\", \"1\"]}]}]}], \",\", RowBox[{\"∂\", RowBox[{\"f\", \"\/\", RowBox[{\"∂\", SubscriptBox[\"x\", \"2\"]}]}]}], \",\", \"…\"}], \")\"}]. \nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"array\", \"TI\"], \"}\"}]}], \"]\"}] gives an array derivative.", + "DagumDistribution":"RowBox[{\"DagumDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Dagum distribution with shape parameters StyleBox[\"p\", \"TI\"] and StyleBox[\"a\", \"TI\"] and scale parameter StyleBox[\"b\", \"TI\"].", + "DamData":"RowBox[{\"DamData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the dam StyleBox[\"entity\", \"TI\"].\nRowBox[{\"DamData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified dam entities.\nRowBox[{\"DamData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "DamerauLevenshteinDistance":"RowBox[{\"DamerauLevenshteinDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Damerau–Levenshtein distance between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "DampingFactor":"DampingFactor is an option for FindRoot, which can be used to control convergence behavior. RowBox[{\"DampingFactor\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] uses a damping factor of StyleBox[\"n\", \"TI\"] in Newton's method.", + "Darker":"RowBox[{\"Darker\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a darker version of the specified color. \nRowBox[{\"Darker\", \"[\", RowBox[{StyleBox[\"color\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a version of the specified color darkened by a fraction StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Darker\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a darker version of an image.", + "Dashed":"Dashed is a graphics directive specifying that lines that follow should be drawn dashed.", + "Dashing":"RowBox[{\"Dashing\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a two-dimensional graphics directive specifying that lines that follow are to be drawn dashed, with successive segments of lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], … (repeated cyclically). The SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] are given as a fraction of the total width of the graph. \nRowBox[{\"Dashing\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] is equivalent to RowBox[{\"Dashing\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}], \"]\"}]. ", + "Databin":"RowBox[{\"Databin\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a databin in the Wolfram Data Drop.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the first StyleBox[\"n\", \"TI\"] entries in a databin.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] represents the most recent StyleBox[\"n\", \"TI\"] entries in a databin.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] represents entries StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in a databin, with negative numbers counting from the end.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}]}], \"]\"}] represents entries StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] with step StyleBox[\"s\", \"TI\"].\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] represents entries going back for the quantity of time specified by StyleBox[\"time\", \"TI\"].\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] represents the entries in a databin from the specified date to now.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the entries in a databin from SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents only elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] within each entry in a databin.", + "DatabinAdd":"RowBox[{\"DatabinAdd\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] adds the specified data to a databin.", + "DatabinRemove":"RowBox[{\"DatabinRemove\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] removes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"]entry from a databin.\nRowBox[{\"DatabinRemove\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"uuid\", \"TI\"]}], \"]\"}] removes the entry with the specified UUID from a databin.\nRowBox[{\"DatabinRemove\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}]}], \"]\"}] removes the span of entries with indices from StyleBox[\"i\", \"TI\"] through StyleBox[\"j\", \"TI\"].", + "Databins":"RowBox[{\"Databins\", \"[\", \"]\"}] gives a list of databins associated with the currently connected user.", + "DatabinUpload":"RowBox[{\"DatabinUpload\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entry\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entry\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] bulk uploads all the entries SubscriptBox[StyleBox[\"entry\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a databin.\nRowBox[{\"DatabinUpload\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", RowBox[{\"EventSeries\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}]}], \"]\"}] bulk uploads all entries in an event series to a databin.", + "DataDistribution":"RowBox[{\"DataDistribution\", \"[\", RowBox[{StyleBox[\"ddist\", \"TI\"], \",\", StyleBox[\"…\", \"TI\"]}], \"]\"}] represents a probability distribution of type StyleBox[\"ddist\", \"TI\"], estimated from a set of data.", + "DataRange":"DataRange is an option for functions such as ListPlot and ListDensityPlot that specifies what range of actual coordinates the data should be assumed to occupy. ", + "DataReversed":"DataReversed is an option for ArrayPlot and related functions that specifies whether data should be plotted in reverse order.", + "Dataset":"RowBox[{\"Dataset\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a structured dataset based on a hierarchy of lists and associations.", + "Date":"RowBox[{\"Date\", \"[\", \"]\"}] gives the current local date and time in the form RowBox[{\"{\", RowBox[{StyleBox[\"year\", \"TI\"], \",\", StyleBox[\"month\", \"TI\"], \",\", StyleBox[\"day\", \"TI\"], \",\", StyleBox[\"hour\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}]. ", + "DateBounds":"RowBox[{\"DateBounds\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the earliest and latest of the SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateBounds\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] gives the first and last dates in the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateBounds\", \"[\", StyleBox[\"bin\", \"TI\"], \"]\"}] gives the first and last time stamps in the databin StyleBox[\"bin\", \"TI\"].", + "Dated":"RowBox[{\"Dated\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"year\", \"TI\"]}], \"]\"}] represents the object StyleBox[\"obj\", \"TI\"] associated with a particular year.\nRowBox[{\"Dated\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] represents the object StyleBox[\"obj\", \"TI\"] associated with a date.\nRowBox[{\"Dated\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", \"All\"}], \"]\"}] represents the object StyleBox[\"obj\", \"TI\"] for all dates where information is available about it.", + "DateDifference":"RowBox[{\"DateDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the number of days from SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"DateDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"unit\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the difference between SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]] in the specified unit.\nRowBox[{\"DateDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"unit\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"unit\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the difference as a list with elements corresponding to the successive \"SubscriptBox[\nStyleBox[\"unit\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".", + "DatedUnit":"RowBox[{\"DatedUnit\", \"[\", RowBox[{StyleBox[\"unit\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] represents the specified StyleBox[\"unit\", \"TI\"] at a specific StyleBox[\"date\", \"TI\"].", + "DateFormat":"DateFormat is an option that determines the date formatting that is used for DateObject display and for interpretation in Interpreter.", + "DateFunction":"DateFunction is an option for DateListPlot that specifies how dates given as input should be converted to date lists.", + "DateHistogram":"RowBox[{\"DateHistogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a histogram of the dates SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a histogram with bin width specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"DateHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"DateHistogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DateList":"RowBox[{\"DateList\", \"[\", \"]\"}] gives the current local date and time in the form RowBox[{\"{\", RowBox[{StyleBox[\"year\", \"TI\"], \",\", StyleBox[\"month\", \"TI\"], \",\", StyleBox[\"day\", \"TI\"], \",\", StyleBox[\"hour\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}]. \nRowBox[{\"DateList\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a date list corresponding to an AbsoluteTime specification.\nRowBox[{\"DateList\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives a date list corresponding to a DateObject specification.\nRowBox[{\"DateList\", \"[\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] converts a date list to standard normalized form. \nRowBox[{\"DateList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a date string to a date list. \nRowBox[{\"DateList\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] gives the date list obtained by extracting elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" from \"\nStyleBox[\"string\", \"TI\"]\".", + "DateListLogPlot":"RowBox[{\"DateListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log plot with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at a sequence of dates.\nRowBox[{\"DateListLogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] makes a log plot with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DateListLogPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}]}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", + "DateListPlot":"RowBox[{\"DateListPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points with values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] at a sequence of dates.\nRowBox[{\"DateListPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] plots points with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DateListPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{RowBox[{\"DateListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}]}]}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", + "DateListStepPlot":"RowBox[{\"DateListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] in steps at a sequence of dates.\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] plots the values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] in steps with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DateListStepPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"step\", \"TI\"]}], \"]\"}] plots using steps specified by StyleBox[\"step\", \"TI\"].\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", + "DateObject":"RowBox[{\"DateObject\", \"[\", \"]\"}] gives the current local date.\nRowBox[{\"DateObject\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives a date object of standard normalized form.\nRowBox[{\"DateObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a date string to a date object.\nRowBox[{\"DateObject\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] gives the date object obtained by extracting elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" from \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"DateObject\", \"[\", RowBox[{StyleBox[\"rdate\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the date object of calendar granularity StyleBox[\"gran\", \"TI\"] that includes the reference date StyleBox[\"rdate\", \"TI\"].", + "DateObjectQ":"RowBox[{\"DateObjectQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a DateObject with valid arguments, and False otherwise.", + "DateOverlapsQ":"RowBox[{\"DateOverlapsQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the calendar dates SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]] overlap, and False otherwise.", + "DatePattern":"RowBox[{\"DatePattern\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the characters of a date with elements of type \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" in StringExpression.\nRowBox[{\"DatePattern\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"sep\", \"TI\"]}], \"]\"}] allows separators that match the string expression StyleBox[\"sep\", \"TI\"].", + "DatePlus":"RowBox[{\"DatePlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] days after StyleBox[\"date\", \"TI\"].\nRowBox[{\"DatePlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"step\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] calendar steps after StyleBox[\"date\", \"TI\"].\nRowBox[{\"DatePlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a date offset by SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] steps of each specified size. \nRowBox[{\"DatePlus\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] days after the current date.\nRowBox[{\"DatePlus\", \"[\", StyleBox[\"offset\", \"TI\"], \"]\"}] gives the date with the specified offset from the current date.", + "DateRange":"RowBox[{\"DateRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives all dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].\nRowBox[{\"DateRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"increment\", \"TI\"]}], \"]\"}] gives the dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"] that are StyleBox[\"increment\", \"TI\"] apart.", + "DateReduction":"DateReduction is an option for DateHistogram that specifies the length for cyclic periods of time.", + "DateString":"RowBox[{\"DateString\", \"[\", \"]\"}] gives a string representing the complete current local date and time. \nRowBox[{\"DateString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the specified element or format for date and time.\nRowBox[{\"DateString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] concatenates the specified elements in the order given.\nRowBox[{\"DateString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives a string corresponding to a DateList specification.\nRowBox[{\"DateString\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a string corresponding to an AbsoluteTime specification.\nRowBox[{\"DateString\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives a string corresponding to a DateObject specification.\nRowBox[{\"DateString\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives elements StyleBox[\"elems\", \"TI\"] of the date or time specification StyleBox[\"spec\", \"TI\"].", + "DateTicksFormat":"DateTicksFormat is an option for DateListPlot which specifies how date tick labels should be formatted.", + "DateValue":"RowBox[{\"DateValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the specified element of the current date and time.\nRowBox[{\"DateValue\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of the specified elements of the current date and time.\nRowBox[{\"DateValue\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives the specified element of the specified date.\nRowBox[{\"DateValue\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the result in the specified form.", + "DateWithinQ":"RowBox[{\"DateWithinQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the calendar date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]] is entirely contained within SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], and False otherwise.", + "DaubechiesWavelet":"RowBox[{\"DaubechiesWavelet\", \"[\", \"]\"}] represents a Daubechies wavelet of order 2. \nRowBox[{\"DaubechiesWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Daubechies wavelet of order StyleBox[\"n\", \"TI\"].", + "DavisDistribution":"DavisDistributionRowBox[{\"[\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Davis distribution with scale parameter StyleBox[\"b\", \"TI\"], shape parameter StyleBox[\"n\", \"TI\"], and location parameter StyleBox[\"μ\", \"TR\"].", + "DawsonF":"RowBox[{\"DawsonF\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Dawson integral RowBox[{StyleBox[\"F\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "DayCount":"RowBox[{\"DayCount\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the number of days from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].\nRowBox[{\"DayCount\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] gives the number of days of the specified StyleBox[\"daytype\", \"TI\"] from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].", + "DayCountConvention":"DayCountConvention is an option that specifies the day count convention used by DateDifference.", + "DayHemisphere":"RowBox[{\"DayHemisphere\", \"[\", \"]\"}] is a two-dimensional GeoGraphics primitive that represents the half of the Earth that is currently in daylight. \nRowBox[{\"DayHemisphere\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] represents the daylight half of the Earth for the specified date.", + "DaylightQ":"RowBox[{\"DaylightQ\", \"[\", \"]\"}] gives True if it is currently daylight from the user's location.\nRowBox[{\"DaylightQ\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives True if it is daylight from the user's location on the specified StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DaylightQ\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives True if it is currently daylight from the specified StyleBox[\"locationspec\", \"TI\"].\nRowBox[{\"DaylightQ\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives True if it is daylight from the specified StyleBox[\"locationspec\", \"TI\"] on the specified StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DaylightQ\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives True if it is daylight from the specified locations and dates.\nRowBox[{\"DaylightQ\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"inclusionspec\", \"TI\"]}], \"]\"}] gives True if it is daylight from the specified StyleBox[\"locationspec\", \"TI\"] on the specified StyleBox[\"datespec\", \"TI\"] taking StyleBox[\"inclusionspec\", \"TI\"] into account.", + "DayMatchQ":"RowBox[{\"DayMatchQ\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] returns True if the date matches the StyleBox[\"daytype\", \"TI\"] specification and returns False otherwise.", + "DayName":"RowBox[{\"DayName\", \"[\", \"]\"}] gives the current day of the week.\nRowBox[{\"DayName\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the day of the week for the given date.", + "DayNightTerminator":"RowBox[{\"DayNightTerminator\", \"[\", \"]\"}] is a one-dimensional GeoGraphics primitive that represents the separation line between the halves of the Earth currently in daytime and nighttime.\nRowBox[{\"DayNightTerminator\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] represents the separation line between day and night for the specified date.", + "DayPlus":"RowBox[{\"DayPlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] days away from StyleBox[\"date\", \"TI\"].\nRowBox[{\"DayPlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] gives the date that is StyleBox[\"n\", \"TI\"] days of StyleBox[\"daytype\", \"TI\"] away from StyleBox[\"date\", \"TI\"].", + "DayRange":"RowBox[{\"DayRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].\nRowBox[{\"DayRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] gives the dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"] that are of the specified StyleBox[\"daytype\", \"TI\"].", + "DayRound":"RowBox[{\"DayRound\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] rounds StyleBox[\"date\", \"TI\"] to the nearest day of StyleBox[\"daytype\", \"TI\"],StyleBox[\" \", \"TI\"]using the next-day rounding convention.\nRowBox[{\"DayRound\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"], \",\", StyleBox[\"rounding\", \"TI\"]}], \"]\"}] rounds StyleBox[\"date\", \"TI\"] to the nearest day of StyleBox[\"daytype\", \"TI\"], using StyleBox[\"rounding\", \"TI\"].", + "DeBruijnGraph":"RowBox[{\"DeBruijnGraph\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]-dimensional De Bruijn graph with StyleBox[\"m\", \"TI\"] symbols.\nRowBox[{\"DeBruijnGraph\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] gives the De Bruijn graph with connectivity given by StyleBox[\"type\", \"TI\"].", + "DeBruijnSequence":"RowBox[{\"DeBruijnSequence\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a de Bruijn sequence on the elements in StyleBox[\"list\", \"TI\"] taken StyleBox[RowBox[{\"n\", \" \"}], \"TI\"]at a time.\nRowBox[{\"DeBruijnSequence\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a de Bruijn sequence on the elements RowBox[{\"0\", \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"-\", \"1\"}]}].\nRowBox[{\"DeBruijnSequence\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a de Bruijn sequence on the characters in \"StyleBox[\"string\", \"TI\"]\".", + "Decapitalize":"RowBox[{\"Decapitalize\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which the first character has been made lowercase.", + "Decimal":"Decimal is a setting for the ColumnAlignments option of GridBox which states that numbers should align along the decimal place.", + "DecimalForm":"RowBox[{\"DecimalForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with approximate real numbers in StyleBox[\"expr\", \"TI\"] always given in decimal form, without scientific notation.\nRowBox[{\"DecimalForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with approximate real numbers given in decimal form to StyleBox[\"n\", \"TI\"]-digit precision.\nRowBox[{\"DecimalForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}]}], \"]\"}] prints with approximate real numbers having StyleBox[\"n\", \"TI\"] digits, with StyleBox[\"f\", \"TI\"] digits to the right of the decimal point.", + "DeclarePackage":"RowBox[{\"DeclarePackage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] declares that RowBox[{\"Needs\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] should automatically be executed if a symbol with any of the specified names is ever used. ", + "Decompose":"RowBox[{\"Decompose\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] decomposes a polynomial, if possible, into a composition of simpler polynomials. ", + "DeconvolutionLayer":"RowBox[{\"DeconvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"sz\", \"TI\"]}], \"]\"}] represents a trainable 2D deconvolutional net layer that has StyleBox[\"n\", \"TI\"] output channels and uses kernels of size RowBox[{\"{\", RowBox[{StyleBox[\"sz\", \"TI\"], \",\", StyleBox[\"sz\", \"TI\"]}], \"}\"}] to compute the deconvolution.\nRowBox[{\"DeconvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", \"w\"}], \"}\"}]}], \"]\"}] uses kernels of size RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}].\nRowBox[{\"DeconvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", \"w\"}], \"}\"}], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial kernels and other parameters. ", + "Decrement":"RowBox[{StyleBox[\"x\", \"TI\"], \"--\"}] decreases the value of StyleBox[\"x\", \"TI\"] by 1, returning the old value of StyleBox[\"x\", \"TI\"]. ", + "Decrypt":"RowBox[{\"Decrypt\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"enc\", \"TI\"]}], \"]\"}] attempts to decrypt the encrypted object StyleBox[\"enc\", \"TI\"] using the specified password.\nRowBox[{\"Decrypt\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"enc\", \"TI\"]}], \"]\"}] attempts to decrypt using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].\nRowBox[{\"Decrypt\", \"[\", RowBox[{StyleBox[\"key\", \"TI\"], \",\", StyleBox[\"bytes\", \"TI\"]}], \"]\"}] attempts to decrypt the ByteArray object bytes, to give another ByteArray object.", + "DecryptFile":"RowBox[{\"DecryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"file\", \"TI\"]}], \"]\"}] generates a decrypted version of a file, using the specified password.\nRowBox[{\"DecryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] generates a decrypted version of StyleBox[\"source\", \"TI\"], putting the result in StyleBox[\"target\", \"TI\"].\nRowBox[{\"DecryptFile\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] decrypts using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].", + "DedekindEta":"RowBox[{\"DedekindEta\", \"[\", StyleBox[\"τ\", \"TR\"], \"]\"}] gives the Dedekind eta modular elliptic function RowBox[{\"η\", \"(\", \"τ\", \")\"}].", + "DeepSpaceProbeData":"RowBox[{\"DeepSpaceProbeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the deep space probe StyleBox[\"entity\", \"TI\"].\nRowBox[{\"DeepSpaceProbeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified deep space probe entities.\nRowBox[{\"DeepSpaceProbeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Default":"RowBox[{\"Default\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives the default value for arguments of the function StyleBox[\"f\", \"TI\"] obtained with a _. pattern object. \nRowBox[{\"Default\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the default value to use when _. appears as the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] argument of StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Default\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the default value for the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] argument out of a total of StyleBox[\"n\", \"TI\"] arguments. \nRowBox[{RowBox[{\"Default\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"=\", StyleBox[\"val\", \"TI\"]}] defines default values for arguments of StyleBox[\"f\", \"TI\"].", + "DefaultAxesStyle":"DefaultAxesStyle is a low-level option for graphics functions that specifies the default style to use in displaying axes and axes-like constructs.", + "DefaultBaseStyle":"DefaultBaseStyle is a low-level option for formatting and related constructs that specifies a default base style to use before BaseStyle.", + "DefaultBoxStyle":"DefaultBoxStyle is a low-level option for three-dimensional graphics functions that specifies the default style to use in rendering the bounding box.", + "DefaultButton":"RowBox[{\"DefaultButton\", \"[\", \"]\"}] represents an StyleBox[\"OK\", \"DialogElementName\"] button that closes a dialog, and is the default when StyleBox[\"Enter\", \"KeyEvent\"] is pressed in the dialog.\nRowBox[{\"DefaultButton\", \"[\", StyleBox[\"action\", \"TI\"], \"]\"}] represents a button that is labeled StyleBox[\"OK\", \"DialogElementName\"], and whose action is to evaluate StyleBox[\"action\", \"TI\"].\nRowBox[{\"DefaultButton\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] uses StyleBox[\"label\", \"TI\"] as the label for the button.", + "DefaultColor":"DefaultColor is an option for graphics functions that specifies the default color to use for lines, points, etc. ", + "DefaultDuplicateCellStyle":"DefaultDuplicateCellStyle is a notebook option that specifies the default style to use for cells created by automatic duplication of other cells in the notebook. ", + "DefaultDuration":"DefaultDuration is an option to Animate and related functions that specifies the default total duration of the animation in seconds.", + "DefaultElement":"DefaultElement is an option for Grid and related constructs which specifies what to insert when a new element is interactively created.", + "DefaultFaceGridsStyle":"DefaultFaceGridsStyle is a low-level option for 3D graphics functions that specifies the default style to use in rendering face grids.", + "DefaultFieldHintStyle":"DefaultFieldHintStyle is a low-level option for InputField that specifies the default style to use for displaying the field hint.", + "DefaultFontProperties":"DefaultFontProperties is a global option that specifies various properties of a font family, such as its character encoding and whether it is monospaced.", + "DefaultFormatType":"DefaultFormatType is an option for cells that specifies the format used for displaying expressions in a newly created cell.", + "DefaultFrameStyle":"DefaultFrameStyle is a low-level option for graphics and related constructs that specifies the default style to use in displaying their frames.", + "DefaultFrameTicksStyle":"DefaultFrameTicksStyle is a low-level option for 2D graphics functions that specifies the default style to use in rendering frame ticks.", + "DefaultGridLinesStyle":"DefaultGridLinesStyle is a low-level option for 2D graphics functions that specifies the default style to use in rendering grid lines.", + "DefaultInlineFormatType":"DefaultInlineFormatType is an option for cells that specifies the format used for displaying expressions in a newly created inline cell.", + "DefaultLabelStyle":"DefaultLabelStyle is a low-level option for formatting and related constructs that specifies the default style to use in displaying their label-like elements.", + "DefaultMenuStyle":"DefaultMenuStyle is a low-level option for menu-generating constructs that specifies the default style to use for displaying menu items.", + "DefaultNaturalLanguage":"DefaultNaturalLanguage is an option for character selections that specifies the language used when checking the spelling of a word in a human natural language selection.", + "DefaultNewCellStyle":"DefaultNewCellStyle is a notebook option which specifies the default style to use for new cells created in the notebook. ", + "DefaultNewInlineCellStyle":"DefaultNewInlineCellStyle is an option for cells that specifies the default style to use for new inline cells created in the notebook.", + "DefaultNotebook":"DefaultNotebook is a global option that specifies which notebook is used as a template for all new notebooks.", + "DefaultOptions":"DefaultOptions is a style option that allows default options to be specified for particular formatting and related constructs. ", + "DefaultPrintPrecision":"DefaultPrintPrecision is an option for NumberForm, DecimalForm and related functions that specifies the default number of digits of precision with which to print machine numbers.", + "DefaultStyleDefinitions":"DefaultStyleDefinitions is a global option that specifies the default stylesheet for all new notebooks.", + "DefaultTicksStyle":"DefaultTicksStyle is a low-level option for graphics functions that specifies the default style to use in rendering ticks.", + "DefaultTooltipStyle":"DefaultTooltipStyle is a low-level option for tooltips that specifies the default style to use in displaying their elements.", + "DefaultValues":"RowBox[{\"DefaultValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all defaults (values for RowBox[{\"Default\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", + "Defer":"RowBox[{\"Defer\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields an object that displays as the unevaluated form of StyleBox[\"expr\", \"TI\"], but that is evaluated if it is explicitly given as StyleBox[\"Wolfram Language\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] input. ", + "DefineInputStreamMethod":"RowBox[{\"DefineInputStreamMethod\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \" \", \"}\"}]}], \"]\"}] defines a custom input stream method with the specified name, allowing StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] to call the stream functions SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"i\", \"TI\"]] for opening and reading from an input stream.", + "DefineOutputStreamMethod":"RowBox[{\"DefineOutputStreamMethod\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \" \", \"}\"}]}], \"]\"}] defines a custom output stream method with the specified name, allowing StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] to call the stream functions for opening and writing to an output stream.", + "Definition":"RowBox[{\"Definition\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] prints as the definitions given for a symbol. ", + "Degree":"Degree gives the number of radians in one degree. It has a numerical value of FractionBox[\"π\", \"180\"]. ", + "DegreeCentrality":"RowBox[{\"DegreeCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of vertex degrees for the vertices in the underlying simple graph of StyleBox[\"g\", \"TI\"].\nRowBox[{\"DegreeCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of vertex in-degrees.\nRowBox[{\"DegreeCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of vertex out-degrees.\nRowBox[{\"DegreeCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "DegreeGraphDistribution":"RowBox[{\"DegreeGraphDistribution\", \"[\", StyleBox[\"dlist\", \"TI\"], \"]\"}] represents a degree graph distribution with vertex degree StyleBox[\"dlist\", \"TI\"].", + "DEigensystem":"RowBox[{\"DEigensystem\", \"[\", RowBox[{RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"TI\"], \"]\"}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{StyleBox[RowBox[{\"{\", RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"}\"}], \"TI\"], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues and eigenfunctions for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"DEigensystem\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{StyleBox[RowBox[{\"{\", RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"}\"}], \"TI\"], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues and eigenfunctions for solutions StyleBox[\"u\", \"TI\"] of the time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", + "DEigenvalues":"RowBox[{\"DEigenvalues\", \"[\", RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}]}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"DEigenvalues\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues for solutions StyleBox[\"u\", \"TI\"] of the time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", + "Deinitialization":"Deinitialization is an option for Dynamic, DynamicModule, Manipulate, and related constructs that specifies an expression to be evaluated when the construct can no longer be displayed or used. ", + "Del":"RowBox[{\"Del\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"∇\", StyleBox[\"x\", \"TI\"]}].", + "DelaunayMesh":"RowBox[{\"DelaunayMesh\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a MeshRegion representing the Delaunay mesh from the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "Delayed":"RowBox[{\"Delayed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an expression whose evaluation is delayed until its value is externally requested.\nRowBox[{\"Delayed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that the result from evaluating StyleBox[\"expr\", \"TI\"] should be given in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"Delayed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the result should be given as a response of the form StyleBox[\"rform\", \"TI\"].", + "Deletable":"Deletable is an option for Cell that specifies whether the cell can be deleted interactively using the front end. ", + "Delete":"RowBox[{\"Delete\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] deletes the element at position StyleBox[\"n\", \"TI\"] in StyleBox[\"expr\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"Delete\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes the part at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Delete\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes parts at several positions. \nRowBox[{\"Delete\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents an operator form of Delete that can be applied to an expression.", + "DeleteBorderComponents":"RowBox[{\"DeleteBorderComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] replaces connected components adjacent to the border in a binary image StyleBox[\"image\", \"TI\"] with background pixels.\nRowBox[{\"DeleteBorderComponents\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] replaces components adjacent to the border in a label matrix StyleBox[\"m\", \"TI\"] with 0.", + "DeleteCases":"RowBox[{\"DeleteCases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] removes all elements of StyleBox[\"expr\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"DeleteCases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] removes all parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"DeleteCases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] removes the first StyleBox[\"n\", \"TI\"] parts of StyleBox[\"expr\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"DeleteCases\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of DeleteCases that can be applied to an expression.", + "DeleteChannel":"RowBox[{\"DeleteChannel\", \"[\", StyleBox[\"channel\", \"TI\"], \"]\"}] deletes the specified channel from the channel broker server.\nRowBox[{\"DeleteChannel\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes all the SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DeleteChannel\", \"[\", \"]\"}] deletes all channels owned by the currently authenticated user.", + "DeleteCloudExpression":"RowBox[{\"DeleteCloudExpression\", \"[\", \"StyleBox[name, TI]StyleBox[\", TI], \"]\"}] deletes the cloud expression identified by StyleBox[StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"TI\"].\nRowBox[{\"DeleteCloudExpression\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the cloud expression StyleBox[\"obj\", \"TI\"].", + "DeleteContents":"DeleteContents is an option for DeleteDirectory that specifies whether the contents of directories should automatically be deleted.", + "DeleteDirectory":"RowBox[{\"DeleteDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes the specified directory. ", + "DeleteDuplicates":"RowBox[{\"DeleteDuplicates\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] deletes all duplicates from StyleBox[\"list\", \"TI\"].\nRowBox[{\"DeleteDuplicates\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] applies StyleBox[\"test\", \"TI\"] to pairs of elements to determine whether they should be considered duplicates. ", + "DeleteDuplicatesBy":"RowBox[{\"DeleteDuplicatesBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] deletes those SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] that yield duplicates in the list RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"DeleteDuplicatesBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of DeleteDuplicatesBy that can be applied to an expression.", + "DeleteFile":"RowBox[{\"DeleteFile\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes a file. \nRowBox[{\"DeleteFile\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes a list of files. ", + "DeleteMissing":"RowBox[{\"DeleteMissing\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] drops elements with head Missing from a list.\nRowBox[{\"DeleteMissing\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] drops elements whose values have head Missing from the association StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"DeleteMissing\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies DeleteMissing to any lists or associations that occur within the first StyleBox[\"n\", \"TI\"] levels of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"DeleteMissing\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] considers an element at level StyleBox[\"n\", \"TI\"] to be missing if Missing occurs within the first StyleBox[\"d\", \"TI\"] levels of the element.", + "DeleteObject":"RowBox[{\"DeleteObject\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"DeleteObject\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes all the SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DeletePermissionsKey":"RowBox[{\"DeletePermissionsKey\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] deletes a permissions key, rendering it invalid.\nRowBox[{\"DeletePermissionsKey\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes several permissions keys.", + "DeleteSearchIndex":"RowBox[{\"DeleteSearchIndex\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the search index represented by the search index object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"DeleteSearchIndex\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes the search index with the specified name in the RowBox[{\"SearchIndices\", \"[\", \"]\"}] list.", + "DeleteSmallComponents":"RowBox[{\"DeleteSmallComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] replaces small connected components in a binary image StyleBox[\"image\", \"TI\"] with background pixels.\nRowBox[{\"DeleteSmallComponents\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] replaces positive integers in a label matrix StyleBox[\"m\", \"TI\"] with 0 if their tally is small.\nRowBox[{\"DeleteSmallComponents\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] replaces components consisting of StyleBox[\"n\", \"TI\"] or fewer elements.", + "DeleteStopwords":"RowBox[{\"DeleteStopwords\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] deletes stopwords from a list of words.\nRowBox[{\"DeleteStopwords\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes stopwords from a string.\nRowBox[{\"DeleteStopwords\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes stopwords from a list of strings.", + "DeletionWarning":"DeletionWarning is an option for InterpretationBox or TagBox objects that specifies whether a warning is issued if the box is deleted.", + "DelimitedSequence":"RowBox[{\"DelimitedSequence\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents a delimited sequence of elements of the specified form in Interpreter and related functions.\nRowBox[{\"DelimitedSequence\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"sep\", \"TI\"]}], \"]\"}] assumes a separator that matches StyleBox[\"sep\", \"TI\"].\nRowBox[{\"DelimitedSequence\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"sep\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}]}], \"]\"}] assumes left and right delimiters matching StyleBox[\"left\", \"TI\"] and StyleBox[\"right\", \"TI\"], respectively.", + "Delimiter":"Delimiter represents a delimiter to be displayed in objects such as PopupMenu, Manipulate, and FormObject. ", + "DelimiterFlashTime":"DelimiterFlashTime is an option for cells and notebooks that specifies how long in seconds a delimiter should flash when its matching delimiter is entered. ", + "DelimiterMatching":"DelimiterMatching is an option for selections that specifies whether an opening delimiter will match only its respective closing delimiter or any closing delimiter.", + "Delimiters":"Delimiters is an option to various functions that specifies what delimiters to use or look for.", + "DeliveryFunction":"DeliveryFunction is an option that specifies how material such as documents generated by DocumentGenerator should be delivered.", + "Dendrogram":"RowBox[{\"Dendrogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] constructs a dendrogram from the hierarchical clustering of the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Dendrogram\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed dendrogram.\nRowBox[{\"Dendrogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed dendrogram.\nRowBox[{RowBox[{\"Dendrogram\", \"[\", RowBox[{\"\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] using labels SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed dendrogram.\nRowBox[{\"Dendrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"orientation\", \"TI\"]}], \"]\"}] constructs an oriented dendrogram according to StyleBox[\"orientation\", \"TI\"].\nRowBox[{\"Dendrogram\", \"[\", StyleBox[\"tree\", \"TI\"], \"]\"}] constructs the dendrogram corresponding to weighted tree StyleBox[\"tree\", \"TI\"]. ", + "Denominator":"RowBox[{\"Denominator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the denominator of StyleBox[\"expr\", \"TI\"]. ", + "DensityGraphics":"RowBox[{\"DensityGraphics\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a representation of a density plot. ", + "DensityHistogram":"RowBox[{\"DensityHistogram\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a density histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"DensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a density histogram with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"DensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a density histogram with bin densities computed according to the specification StyleBox[\"hspec\", \"TI\"].", + "DensityPlot":"RowBox[{\"DensityPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a density plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"DensityPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", + "DensityPlot3D":"RowBox[{\"DensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a density plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"DensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables to be in the geometric region StyleBox[\"reg\", \"TI\"].", + "DependentVariables":"DependentVariables is an option for NDSolve and other functions that specifies the list of all objects that should be considered as dependent variables in equations that have been supplied.", + "Deploy":"RowBox[{\"Deploy\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields a deployed version of StyleBox[\"expr\", \"TI\"] in which elements such as Slider, InputField, Locator and Button are active, but general editing and selection is disabled. ", + "Deployed":"Deployed is an option for displayed objects, cells, and notebooks that specifies whether their contents should be considered deployed, so that elements such as Slider, InputField, Locator, and Button are active, but general editing and selection is disabled. ", + "Depth":"RowBox[{\"Depth\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the maximum number of indices needed to specify any part of StyleBox[\"expr\", \"TI\"], plus 1. ", + "DepthFirstScan":"RowBox[{\"DepthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a depth-first scan of the graph StyleBox[\"g\", \"TI\"] starting at the vertex StyleBox[\"s\", \"TI\"] and evaluates SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever \"SubscriptBox[\nStyleBox[\"event\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs.\nRowBox[{\"DepthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a depth-first scan of the whole graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"DepthFirstScan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "Derivative":"RowBox[{StyleBox[\"f\", \"TI\"], \"'\"}] represents the derivative of a function StyleBox[\"f\", \"TI\"] of one argument. \nRowBox[{RowBox[{\"Derivative\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] is the general form, representing a function obtained from StyleBox[\"f\", \"TI\"] by differentiating SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] times with respect to the first argument, SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] times with respect to the second argument, and so on. ", + "DerivativeFilter":"RowBox[{\"DerivativeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] computes the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] derivative of StyleBox[\"data\", \"TI\"] at level StyleBox[\"i\", \"TI\"].\nRowBox[{\"DerivativeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] computes the derivative at a Gaussian scale of standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"DerivativeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes several derivatives SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "DescriptorStateSpace":"DescriptorStateSpace is an option to StateSpaceModel and StateSpaceTransform that specifies whether to use descriptor or standard representation.", + "DesignMatrix":"RowBox[{\"DesignMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs the design matrix for the linear model RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"0\", \"TR\"]], \"+\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"2\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"+\", StyleBox[\"…\", \"TR\"]}].", + "Det":"RowBox[{\"Det\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the determinant of the square matrix StyleBox[\"m\", \"TI\"]. ", + "DeviceClose":"RowBox[{\"DeviceClose\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] closes the connection to a device and frees related resources.", + "DeviceConfigure":"RowBox[{\"DeviceConfigure\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"config\", \"TI\"]}], \"]\"}] configures the specified device according to StyleBox[\"config\", \"TI\"].", + "DeviceExecute":"RowBox[{\"DeviceExecute\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] executes the specified command on a device.\nRowBox[{\"DeviceExecute\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"params\", \"TI\"]}], \"]\"}] executes the command with the parameters StyleBox[\"params\", \"TI\"].", + "DeviceExecuteAsynchronous":"RowBox[{\"DeviceExecuteAsynchronous\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] initiates asynchronous execution of the specified command on a device, calling the handler function StyleBox[\"fun\", \"TI\"] when an event occurs.\nRowBox[{\"DeviceExecuteAsynchronous\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] executes the command with the parameters StyleBox[\"params\", \"TI\"].", + "DeviceObject":"RowBox[{\"DeviceObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a device that can be accessed in a Wolfram Language session.", + "DeviceOpen":"RowBox[{\"DeviceOpen\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"devclass\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a connection to the first available device in the class specified by \"\nStyleBox[\"devclass\", \"TI\"]\".\nRowBox[{\"DeviceOpen\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"devclass\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] opens a connection to the particular device defined by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"DeviceOpen\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] opens a connection to an existing device specified by a DeviceObject.", + "DeviceRead":"RowBox[{\"DeviceRead\", \"[\", StyleBox[\"devobj\", \"TI\"], \"]\"}] reads a single default item from the open device corresponding to the specified DeviceObject.\nRowBox[{\"DeviceRead\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"devclass\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads from the default device in the class \"StyleBox[\"devclass\", \"TI\"]\".\nRowBox[{\"DeviceRead\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] reads the parameter StyleBox[\"param\", \"TI\"] from the specified device.\nRowBox[{\"DeviceRead\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads the list of parameters SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the specified device.", + "DeviceReadBuffer":"RowBox[{\"DeviceReadBuffer\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] reads the complete contents of the buffer on a device.\nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads StyleBox[\"n\", \"TI\"] elements from the buffer.\nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] reads elements from the buffer until the device-specific criterion StyleBox[\"crit\", \"TI\"] is met.\nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] reads elements associated with the parameter StyleBox[\"param\", \"TI\"]. \nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads elements associated with the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DeviceReadLatest":"RowBox[{\"DeviceReadLatest\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] returns the most recently collected default item from a device.\nRowBox[{\"DeviceReadLatest\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a list of the StyleBox[\"n\", \"TI\"] most recently collected items.\nRowBox[{\"DeviceReadLatest\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] returns the StyleBox[\"n\", \"TI\"] most recently collected values of StyleBox[\"param\", \"TI\"].\nRowBox[{\"DeviceReadLatest\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of the most recently collected values of the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DeviceReadList":"RowBox[{\"DeviceReadList\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads from the specified device StyleBox[\"n\", \"TI\"] times, returning a list of the results.\nRowBox[{\"DeviceReadList\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] reads the parameter StyleBox[\"param\", \"TI\"].\nRowBox[{\"DeviceReadList\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads the list of parameters SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DeviceReadTimeSeries":"RowBox[{\"DeviceReadTimeSeries\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}]}], \"]\"}] repeatedly reads default items from the specified device at interval StyleBox[\"dt\", \"TI\"] for a total time StyleBox[\"t\", \"TI\"], returning a time series of the resulting values.\nRowBox[{\"DeviceReadTimeSeries\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] repeatedly reads the parameter StyleBox[\"param\", \"TI\"] and returns a time series of its values.\nRowBox[{\"DeviceReadTimeSeries\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] repeatedly reads the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and returns a time series of their values.", + "Devices":"RowBox[{\"Devices\", \"[\", \"]\"}] gives a list of registered devices on a particular system.\nRowBox[{\"Devices\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives a list of devices in classes whose names match the string pattern StyleBox[\"form\", \"TI\"].\nRowBox[{\"Devices\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of devices in classes whose names match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DeviceStreams":"RowBox[{\"DeviceStreams\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] gives a list of all open streams associated with a device.\nRowBox[{\"DeviceStreams\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of streams whose names match the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"DeviceStreams\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of streams whose names match any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DeviceWrite":"RowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] writes the value StyleBox[\"val\", \"TI\"] to the specified device.\nRowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes the sequence of values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to the specified device.\nRowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{StyleBox[\"param\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] writes StyleBox[\"val\", \"TI\"] as the value of the parameter StyleBox[\"param\", \"TI\"].\nRowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes values of several parameters.", + "DeviceWriteBuffer":"RowBox[{\"DeviceWriteBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"vals\", \"TI\"]}], \"]\"}] fills the buffer on a device with the values StyleBox[\"vals\", \"TI\"].\nRowBox[{\"DeviceWriteBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{StyleBox[\"param\", \"TI\"], \"\", StyleBox[\"vals\", \"TI\"]}]}], \"]\"}] fills the buffer associated with the parameter StyleBox[\"param\", \"TI\"] with the values StyleBox[\"vals\", \"TI\"].\nRowBox[{RowBox[{\"DeviceWriteBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[SubscriptBox[\"vals\", StyleBox[\"1\", \"TR\"]], \"TI\"]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", StyleBox[SubscriptBox[\"vals\", StyleBox[\"2\", \"TR\"]], \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] fills the buffers associated with the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] with the corresponding values StyleBox[RowBox[{SubscriptBox[StyleBox[RowBox[{\"v\", StyleBox[\"als\", \"TI\"]}]], StyleBox[\"i\", \"TI\"]], \" \"}], \"TI\"].", + "DGaussianWavelet":"RowBox[{\"DGaussianWavelet\", \"[\", \"]\"}] represents a derivative of Gaussian wavelet of derivative order 2.\nRowBox[{\"DGaussianWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a derivative of Gaussian wavelet of derivative order StyleBox[\"n\", \"TI\"].", + "DiacriticalPositioning":"DiacriticalPositioning is an option for UnderscriptBox and related boxes that specifies how close diacritical characters are drawn to the base character.", + "Diagonal":"RowBox[{\"Diagonal\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the list of elements on the leading diagonal of the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"Diagonal\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the elements on the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] diagonal of StyleBox[\"m\", \"TI\"].", + "DiagonalizableMatrixQ":"RowBox[{\"DiagonalizableMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is diagonalizable, and False otherwise. ", + "DiagonalMatrix":"RowBox[{\"DiagonalMatrix\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a matrix with the elements of StyleBox[\"list\", \"TI\"] on the leading diagonal, and 0 elsewhere. \nRowBox[{\"DiagonalMatrix\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a matrix with the elements of StyleBox[\"list\", \"TI\"] on the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] diagonal.\nRowBox[{\"DiagonalMatrix\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] pads with 0s to create an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] matrix.", + "Dialog":"RowBox[{\"Dialog\", \"[\", \"]\"}] initiates a dialog. \nRowBox[{\"Dialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] initiates a dialog with StyleBox[\"expr\", \"TI\"] as the current value of %. ", + "DialogInput":"RowBox[{\"DialogInput\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] interactively puts up StyleBox[\"expr\", \"TI\"] as a dialog notebook, waits until a RowBox[{\"DialogReturn\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] is evaluated from within it, and then returns the result StyleBox[\"e\", \"TI\"]. \nRowBox[{\"DialogInput\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] sets up local variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"…\", \"TR\"] in StyleBox[\"expr\", \"TI\"].", + "DialogNotebook":"RowBox[{\"DialogNotebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a dialog notebook that can be manipulated by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", + "DialogProlog":"DialogProlog is an option for Dialog that can give an expression to evaluate before the dialog starts. ", + "DialogReturn":"RowBox[{\"DialogReturn\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] closes a dialog window, returning the expression StyleBox[\"expr\", \"TI\"] from the dialog.\nRowBox[{\"DialogReturn\", \"[\", \"]\"}] closes a dialog window, returning Null.", + "DialogSymbols":"DialogSymbols is an option for Dialog that gives a list of symbols whose values should be localized in the dialog. ", + "Diamond":"RowBox[{\"Diamond\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋄\", StyleBox[\"y\", \"TI\"], \"⋄\", StyleBox[\"…\", \"TR\"]}].", + "DiamondMatrix":"RowBox[{\"DiamondMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix whose elements are 1 in a diamond-shaped region that extends StyleBox[\"r\", \"TI\"] index positions to each side, and are 0 otherwise.\nRowBox[{\"DiamondMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a StyleBox[\"w\", \"TI\"]×StyleBox[\"w\", \"TI\"] matrix containing a diamond-shaped region of 1s.\nRowBox[{\"DiamondMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields an array whose elements are 1 in a diamond-shaped region that extends SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] index positions in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] direction.", + "DiceDissimilarity":"RowBox[{\"DiceDissimilarity\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the Dice dissimilarity between Boolean vectors StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"].", + "DictionaryLookup":"RowBox[{\"DictionaryLookup\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] finds all words in an English dictionary that match the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"DictionaryLookup\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives only the first StyleBox[\"n\", \"TI\"] words found.\nRowBox[{\"DictionaryLookup\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"lang\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"}\"}], \"]\"}] finds words in the language specified by StyleBox[\"lang\", \"TI\"].", + "DictionaryWordQ":"RowBox[{\"DictionaryWordQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] tests whether \"\nStyleBox[\"word\", \"TI\"]\" is a recognized dictionary word.", + "DifferenceDelta":"RowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the discrete difference RowBox[{RowBox[{SubscriptBox[\"\", \"i\"], \"f\"}], \"=\", RowBox[{RowBox[{\"f\", \"(\", RowBox[{\"i\", \"+\", \"1\"}], \")\"}], \"-\", RowBox[{\"f\", \"(\", \"i\", \")\"}]}]}].\nRowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple difference RowBox[{SubsuperscriptBox[\"\", \"i\", \"n\"], \"f\"}].\nRowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple difference with step StyleBox[\"h\", \"TI\"].\nRowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes the partial difference with respect to StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], ….", + "DifferenceQuotient":"RowBox[{RowBox[{\"DifferenceQuotient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}], \" \"}] gives the difference quotient RowBox[{RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"+\", StyleBox[\"h\", \"TI\"]}], \")\"}], \"-\", RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]}], \")\"}], \"\/\", StyleBox[\"h\", \"TI\"]}].\nRowBox[{\"DifferenceQuotient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a multiple difference quotient with step StyleBox[\"h\", \"TI\"].\nRowBox[{\"DifferenceQuotient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", \"…\"}], \"]\"}] computes the partial difference quotient with respect to RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}].", + "DifferenceRoot":"RowBox[{RowBox[{\"DifferenceRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] gives the holonomic sequence RowBox[{\"h\", \"(\", \"k\", \")\"}], specified by the linear difference equation RowBox[{StyleBox[\"lde\", \"TI\"], \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}].\nRowBox[{\"DifferenceRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}] represents a pure holonomic sequence h.", + "DifferenceRootReduce":"RowBox[{\"DifferenceRootReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single DifferenceRoot object as a function of StyleBox[\"n\", \"TI\"].", + "Differences":"RowBox[{\"Differences\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the successive differences of elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Differences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] differences of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Differences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the differences of elements step StyleBox[\"s\", \"TI\"] apart.\nRowBox[{\"Differences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the successive SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]SuperscriptBox[\"\", \"th\"] differences at level StyleBox[\"k\", \"TI\"] in a nested list. ", + "DifferentialD":"RowBox[{\"DifferentialD\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"\", StyleBox[\"x\", \"TI\"]}].", + "DifferentialRoot":"RowBox[{RowBox[{\"DifferentialRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the holonomic function RowBox[{\"h\", \"(\", \"x\", \")\"}], specified by the linear differential equation RowBox[{StyleBox[\"lde\", \"TI\"], \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}].\nRowBox[{\"DifferentialRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}] represents a pure holonomic function h. ", + "DifferentialRootReduce":"RowBox[{\"DifferentialRootReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single DifferentialRoot object as a function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"DifferentialRootReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] takes the initial conditions to be specified at RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].", + "DifferentiatorFilter":"RowBox[{\"DifferentiatorFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a differentiator filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"DifferentiatorFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"DifferentiatorFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", + "DigitBlock":"DigitBlock is an option for NumberForm and related functions that specifies the maximum length of blocks of digits between breaks. ", + "DigitCharacter":"DigitCharacter represents a digit character 0–9 in StringExpression. ", + "DigitCount":"RowBox[{\"DigitCount\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the number of StyleBox[\"d\", \"TI\"] digits in the base-StyleBox[\"b\", \"TI\"] representation of StyleBox[\"n\", \"TI\"]. \nRowBox[{\"DigitCount\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of the numbers of 1, 2, …, RowBox[{StyleBox[\"b\", \"TI\"], \"-\", \"1\"}], 0 digits in the base-StyleBox[\"b\", \"TI\"] representation of StyleBox[\"n\", \"TI\"]. \nRowBox[{\"DigitCount\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the numbers of 1, 2, …, 9, 0 digits in the base-10 representation of StyleBox[\"n\", \"TI\"]. ", + "DigitQ":"RowBox[{\"DigitQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are digits in the range 0 through 9, and yields False otherwise. ", + "DihedralGroup":"RowBox[{\"DihedralGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the dihedral group of order StyleBox[RowBox[{\"2\", \"n\"}], \"TI\"].", + "Dilation":"RowBox[{\"Dilation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological dilation of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Dilation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the dilation with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Dilation\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies dilation to an array of data.", + "DimensionalCombinations":"RowBox[{\"DimensionalCombinations\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns the possible combinations of the list of physical quantities SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"i\", \"TI\"]] that are dimensionless.\nRowBox[{\"DimensionalCombinations\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dim\", \"TI\"]}], \"]\"}] returns the possible combinations of the list of physical quantities SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"i\", \"TI\"]] that match the dimensions of physical quantity StyleBox[\"dim\", \"TI\"].", + "DimensionalMeshComponents":"RowBox[{\"DimensionalMeshComponents\", \"[\", StyleBox[\"mr\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of regions such that SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"d\", \"TI\"]] has dimension StyleBox[\"d\", \"TI\"] for a mesh region StyleBox[\"mr\", \"TI\"].", + "DimensionReduce":"RowBox[{\"DimensionReduce\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] projects the examples SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a lower-dimensional approximating manifold.\nRowBox[{\"DimensionReduce\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] projects onto an approximating manifold in StyleBox[\"n\", \"TI\"]-dimensional space. ", + "DimensionReducerFunction":"RowBox[{\"DimensionReducerFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by DimensionReduction that projects data onto a lower-dimensional approximating manifold.", + "DimensionReduction":"RowBox[{\"DimensionReduction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"DimensionReducerFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that projects from the space defined by the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a lower-dimensional approximating manifold.\nRowBox[{\"DimensionReduction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a RowBox[{\"DimensionReducerFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] for an StyleBox[\"n\", \"TI\"]-dimensional approximating manifold. \nRowBox[{\"DimensionReduction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] generates the specified properties of the dimensionality reduction. ", + "Dimensions":"RowBox[{\"Dimensions\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a list of the dimensions of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Dimensions\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the dimensions of StyleBox[\"expr\", \"TI\"] down to level StyleBox[\"n\", \"TI\"]. ", + "DiracComb":"RowBox[{\"DiracComb\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the Dirac comb function giving a delta function at every integer point. \nRowBox[{\"DiracComb\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional Dirac comb function.", + "DiracDelta":"RowBox[{\"DiracDelta\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the Dirac delta function RowBox[{\"δ\", \"(\", \"x\", \")\"}]. \nRowBox[{\"DiracDelta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional Dirac delta function RowBox[{\"δ\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", SubscriptBox[\"x\", \"2\"], \",\", \"…\"}], \")\"}]. ", + "DirectedEdge":"RowBox[{\"DirectedEdge\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"u\", \"TI\"], \"\", StyleBox[\"v\", \"TI\"]}] represents a directed edge from StyleBox[\"u\", \"TI\"] to StyleBox[\"v\", \"TI\"].", + "DirectedEdges":"DirectedEdges is an option for Graph, GraphPlot, and related functions that specifies whether edges should be taken to be directed.", + "DirectedGraph":"RowBox[{\"DirectedGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a directed graph from the undirected graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"DirectedGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"conv\", \"TI\"]}], \"]\"}] gives a directed graph using the conversion StyleBox[\"conv\", \"TI\"].\nRowBox[{\"DirectedGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "DirectedGraphQ":"RowBox[{\"DirectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a directed graph and False otherwise.", + "DirectedInfinity":"RowBox[{\"DirectedInfinity\", \"[\", \"]\"}] represents an infinite numerical quantity whose direction in the complex plane is unknown. \nRowBox[{\"DirectedInfinity\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] represents an infinite numerical quantity that is a positive real multiple of the complex number StyleBox[\"z\", \"TI\"]. ", + "Direction":"Direction is an option for Limit and related functions that specifies the direction in which the limit is taken.", + "Directive":"RowBox[{\"Directive\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a single graphics directive composed of the directives SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "Directory":"RowBox[{\"Directory\", \"[\", \"]\"}] gives the current working directory. ", + "DirectoryName":"RowBox[{\"DirectoryName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] extracts the directory name from the specification for a file. ", + "DirectoryQ":"RowBox[{\"DirectoryQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives True if the directory with the specified name exists, and gives False otherwise.", + "DirectoryStack":"RowBox[{\"DirectoryStack\", \"[\", \"]\"}] gives the directory stack that represents the sequence of current directories used. ", + "DirichletBeta":"RowBox[{\"DirichletBeta\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Dirichlet beta function RowBox[{\"β\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", + "DirichletCharacter":"RowBox[{\"DirichletCharacter\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Dirichlet character RowBox[{SubscriptBox[\"χ\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \"}\"}]], \"(\", StyleBox[\"n\", \"TI\"], \")\"}] with modulus StyleBox[\"k\", \"TI\"] and index StyleBox[\"j\", \"TI\"].", + "DirichletCondition":"RowBox[{\"DirichletCondition\", \"[\", RowBox[{StyleBox[\"beqn\", \"TI\"], \",\", StyleBox[\"pred\", \"TI\"]}], \"]\"}] represents a Dirichlet boundary condition given by equation StyleBox[\"beqn\", \"TI\"], satisfied on the part of the boundary of the region given to NDSolve and related functions where StyleBox[\"pred\", \"TI\"] is True.", + "DirichletConvolve":"RowBox[{\"DirichletConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Dirichlet convolution of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"]. ", + "DirichletDistribution":"RowBox[{\"DirichletDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[SubscriptBox[StyleBox[\"α\", \"TR\"], RowBox[{StyleBox[\"k\", \"TI\"], StyleBox[\"+\", \"TR\"], StyleBox[\"1\", \"TR\"]}]], \"TR\"]}], \"}\"}], \"]\"}] represents a Dirichlet distribution of dimension StyleBox[\"k\", \"TI\"] with shape parameters SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]].", + "DirichletEta":"RowBox[{\"DirichletEta\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Dirichlet eta function RowBox[{\"η\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", + "DirichletL":"RowBox[{\"DirichletL\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Dirichlet L-function RowBox[{StyleBox[\"L\", \"TI\"], \"(\", RowBox[{\"χ\", \",\", StyleBox[\"s\", \"TI\"]}], \")\"}] for the Dirichlet character RowBox[{\"χ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}] with modulus StyleBox[\"k\", \"TI\"] and index StyleBox[\"j\", \"TI\"].", + "DirichletLambda":"RowBox[{\"DirichletLambda\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Dirichlet lambda function RowBox[{\"λ\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", + "DirichletTransform":"RowBox[{\"DirichletTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Dirichlet transform of StyleBox[\"expr\", \"TI\"] with respect to StyleBox[\"n\", \"TI\"].", + "DirichletWindow":"RowBox[{\"DirichletWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Dirichlet window function of StyleBox[\"x\", \"TI\"].", + "DisableFormatting":"RowBox[{\"DisableFormatting\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a form that disables the formatting of StyleBox[\"expr\", \"TI\"] when it appears inside held expressions, but gives StyleBox[\"expr\", \"TI\"] as soon as evaluation occurs.", + "DiscreteChirpZTransform":"RowBox[{\"DiscreteChirpZTransform\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the chirp Z transform of StyleBox[\"list\", \"TI\"].\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a length StyleBox[\"n\", \"TI\"] chirp Z transform.\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] uses a spiral path on the complex z plane defined by StyleBox[\"w\", \"TI\"].\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] uses StyleBox[\"a\", \"TI\"] as the complex starting point.\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional chirp Z transform. ", + "DiscreteConvolve":"RowBox[{\"DiscreteConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the convolution with respect to StyleBox[\"n\", \"TI\"] of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"]. \nRowBox[{\"DiscreteConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional convolution.", + "DiscreteDelta":"RowBox[{\"DiscreteDelta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the discrete delta function RowBox[{StyleBox[\"δ\", \"TR\"], RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}]}], equal to 1 if all the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] are zero, and 0 otherwise. ", + "DiscreteHadamardTransform":"RowBox[{\"DiscreteHadamardTransform\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the discrete Hadamard transform of StyleBox[\"list\", \"TI\"].", + "DiscreteIndicator":"RowBox[{\"DiscreteIndicator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the discrete indicator function, equal to 1 if RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}] and, otherwise, to 0 if RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] for some StyleBox[\"i\", \"TI\"].", + "DiscreteLimit":"RowBox[{\"DiscreteLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]}], \"]\"}] gives the limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"k\", \")\"}]}], \"TI\"]}] for the sequence RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] as StyleBox[\"k\", \"TI\"] tends to infinity over the integers.\nRowBox[{\"DiscreteLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}]}]}] over the integers.\nRowBox[{\"DiscreteLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives the multivariate limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}] over the integers.", + "DiscreteLQEstimatorGains":"RowBox[{\"DiscreteLQEstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] gives the optimal discrete-time estimator gain matrix with sampling period StyleBox[\"τ\", \"TR\"] for the continuous-time StateSpaceModel StyleBox[\"ssm\", \"TI\"], with process and measurement noise covariance matrices StyleBox[\"w\", \"TI\"] and StyleBox[\"v\", \"TI\"].\nRowBox[{\"DiscreteLQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the noisy measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"DiscreteLQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", + "DiscreteLQRegulatorGains":"RowBox[{\"DiscreteLQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] gives the optimal discrete-time state feedback gain matrix with sampling period StyleBox[\"τ\", \"TR\"] for the continuous-time StateSpaceModel StyleBox[\"ssm\", \"TI\"] and the quadratic cost function, with state and control weighting matrices StyleBox[\"q\", \"TI\"] and StyleBox[\"r\", \"TI\"].\nRowBox[{\"DiscreteLQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] includes the state-control cross-coupling matrix StyleBox[\"p\", \"TI\"] in the cost function.\nRowBox[{\"DiscreteLQRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] specifies the feedback inputs of StyleBox[\"ssm\", \"TI\"].", + "DiscreteLyapunovSolve":"RowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] finds the numeric solution StyleBox[\"x\", \"TI\"] of the discrete matrix equation RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}], \"-\", StyleBox[\"x\", \"TI\"]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"-\", StyleBox[\"x\", \"TI\"]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}], \"-\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"d\", \"TI\"], \"\"}]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"-\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"e\", \"TI\"]}]}], \"\", StyleBox[\"c\", \"TI\"]}].", + "DiscreteMarkovProcess":"RowBox[{\"DiscreteMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a discrete-time, finite-state Markov process with transition matrix StyleBox[\"m\", \"TI\"] and initial state SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"DiscreteMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a Markov process with initial state probability vector SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"DiscreteMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] represents a Markov process with transition matrix from the graph StyleBox[\"g\", \"TI\"].", + "DiscreteMaxLimit":"RowBox[{\"DiscreteMaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]}], \"]\"}] gives the max limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"k\", \")\"}]}], \"TI\"]}] of the sequence RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] as StyleBox[\"k\", \"TI\"] tends to ∞ over the integers.\nRowBox[{\"DiscreteMaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested max limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]], RowBox[{StyleBox[\"f\", \"TI\"], RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]}]}]}]}] over the integers.\nRowBox[{\"DiscreteMaxLimit\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives the multivariate max limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}] over the integers.", + "DiscreteMinLimit":"RowBox[{\"DiscreteMinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]}], \"]\"}] gives the min limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"k\", \")\"}]}], \"TI\"]}] of the sequence RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] as StyleBox[\"k\", \"TI\"] tends to ∞ over the integers.\nRowBox[{\"DiscreteMinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested min limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}]}]}] over the integers.\nRowBox[{\"DiscreteMinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives the multivariate min limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}] over the integers.", + "DiscretePlot":"RowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"n\", \"TI\"] runs from 1 to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"n\", \"TI\"] runs from SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dn\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"dn\", \"TI\"]. \nRowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"DiscretePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the values of all the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DiscretePlot3D":"RowBox[{\"DiscretePlot3D\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"i\", \"TI\"] runs from SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] and StyleBox[\"j\", \"TI\"] runs from SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscretePlot3D\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dj\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"] and StyleBox[\"dj\", \"TI\"].\nRowBox[{\"DiscretePlot3D\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive StyleBox[\"i\", \"TI\"] values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … and StyleBox[\"j\", \"TI\"] values SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], …. \nRowBox[{\"DiscretePlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the values of all the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DiscreteRatio":"RowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the discrete ratio FractionBox[RowBox[{\"f\", \"(\", RowBox[{\"i\", \"+\", \"1\"}], \")\"}], RowBox[{\"f\", \"(\", \"i\", \")\"}]].\nRowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple discrete ratio.\nRowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple discrete ratio with step StyleBox[\"h\", \"TI\"]. \nRowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes the partial difference ratio with respect to StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], ….", + "DiscreteRiccatiSolve":"RowBox[{\"DiscreteRiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the matrix StyleBox[\"x\", \"TI\"] that is the stabilizing solution of the discrete algebraic Riccati equation RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", StyleBox[\"x\", \"TI\"], \"-\", RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"], \".\", SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", RowBox[{TemplateBox[{\"b\"}, \"ConjugateTranspose\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \")\"}], RowBox[{\"-\", \"1\"}]], \".\", SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}].\nRowBox[{\"DiscreteRiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", StyleBox[\"x\", \"TI\"], \"-\", RowBox[{RowBox[{\"(\", RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"+\", StyleBox[\"p\", \"TI\"]}], \")\"}], \".\", SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", RowBox[{TemplateBox[{\"b\"}, \"ConjugateTranspose\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \")\"}], RowBox[{\"-\", \"1\"}]], \".\", RowBox[{\"(\", RowBox[{RowBox[{SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"+\", SuperscriptBox[\"p\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}]}], \")\"}]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}].", + "DiscreteShift":"RowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the discrete shift RowBox[{RowBox[{SubscriptBox[\"\", StyleBox[\"i\", \"TI\"]], RowBox[{\"(\", RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"i\", \"TI\"], \")\"}], \")\"}]}], \"\", RowBox[{StyleBox[\"f\", \"TI\"], \"(\", RowBox[{StyleBox[\"i\", \"TI\"], \"+\", \"1\"}], \")\"}]}]. \nRowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple shift RowBox[{SubsuperscriptBox[\"\", StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", StyleBox[\"f\", \"TI\"]}].\nRowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple shift of step StyleBox[\"h\", \"TI\"].\nRowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes partial shifts with respect to StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], ….", + "DiscreteTimeModelQ":"RowBox[{\"DiscreteTimeModelQ\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives True if StyleBox[\"lsys\", \"TI\"] is a discrete-time systems model, and False otherwise.", + "DiscreteUniformDistribution":"RowBox[{\"DiscreteUniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] represents a discrete uniform distribution over the integers from SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscreteUniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate discrete uniform distribution over integers within the box RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "DiscreteVariables":"DiscreteVariables is an option for NDSolve and other functions that specifies variables that only change at discrete times in a temporal integration.", + "DiscreteWaveletData":"RowBox[{\"DiscreteWaveletData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"wind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"wtrans\", \"TI\"]}], \"]\"}] yields a discrete wavelet data object with wavelet coefficients SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to wavelet index SubscriptBox[StyleBox[\"wind\", \"TI\"], StyleBox[\"i\", \"TI\"]], wavelet StyleBox[\"wave\", \"TI\"], and wavelet transform StyleBox[\"wtrans\", \"TI\"].\nRowBox[{\"DiscreteWaveletData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"wind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"wtrans\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a discrete wavelet data object assuming data dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "DiscreteWaveletPacketTransform":"RowBox[{\"DiscreteWaveletPacketTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the discrete wavelet packet transform (DWPT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"DiscreteWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the discrete wavelet packet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"DiscreteWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the discrete wavelet packet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", + "DiscreteWaveletTransform":"RowBox[{\"DiscreteWaveletTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the discrete wavelet transform (DWT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"DiscreteWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the discrete wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"DiscreteWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the discrete wavelet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", + "DiscretizeGraphics":"RowBox[{\"DiscretizeGraphics\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] discretizes a 2D or 3D graphic StyleBox[\"g\", \"TI\"] into a MeshRegion.\nRowBox[{\"DiscretizeGraphics\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] discretizes only the elements in StyleBox[\"g\", \"TI\"] that match the pattern StyleBox[\"patt\", \"TI\"].", + "DiscretizeRegion":"RowBox[{\"DiscretizeRegion\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] discretizes a region StyleBox[\"reg\", \"TI\"] into a MeshRegion.\nRowBox[{\"DiscretizeRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], \",\", SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]}], \"]\"}], \"×\", \"⋯\"}].", + "Discriminant":"RowBox[{\"Discriminant\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] computes the discriminant of the polynomial StyleBox[\"poly\", \"TI\"] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"Discriminant\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the discriminant modulo p.", + "DisjointQ":"RowBox[{\"DisjointQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] do not share any common elements, and False otherwise.", + "Disjunction":"RowBox[{\"Disjunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the disjunction of StyleBox[\"expr\", \"TI\"] over all choices of the Boolean variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Disk":"RowBox[{\"Disk\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a disk of radius StyleBox[\"r\", \"TI\"] centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].\nRowBox[{\"Disk\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives a disk of radius 1. \nRowBox[{\"Disk\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives an axis-aligned elliptical disk with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]].\nRowBox[{\"Disk\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a sector of a disk from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "DiskMatrix":"RowBox[{\"DiskMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix whose elements are 1 in a disk-shaped region of radius StyleBox[\"r\", \"TI\"], and are otherwise 0.\nRowBox[{\"DiskMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a StyleBox[\"w\", \"TI\"]×StyleBox[\"w\", \"TI\"] matrix containing a disk of 1s with radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"DiskMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields an array whose elements are 1 in an ellipsoidal region with semiaxis SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", + "DiskSegment":"RowBox[{\"DiskSegment\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the disk segment from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]] in a disk centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"DiskSegment\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the ellipse segment from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]] in an axis-aligned ellipse with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]].", + "Dispatch":"RowBox[{\"Dispatch\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lhs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lhs\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an optimized dispatch table representation of a list of rules. The object produced by Dispatch can be used to give the rules in RowBox[{StyleBox[\"expr\", \"TI\"], \"\/.\", StyleBox[\"rules\", \"TI\"]}]. ", + "DispersionEstimatorFunction":"DispersionEstimatorFunction is an option for generalized linear model fitting functions that specifies the estimator for the dispersion parameter.", + "Display":"RowBox[{\"Display\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"graphics\", \"TI\"]}], \"]\"}] writes graphics or sound to the specified output channel in PostScript format. \nRowBox[{\"Display\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"graphics\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes graphics or sound in the specified format. \nRowBox[{\"Display\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes boxes, cells, or notebook expressions in the specified format. ", + "DisplayAllSteps":"DisplayAllSteps is an option to Animate and related functions that specifies whether all frames should be displayed in an animation, even if to do so would slow the animation down.", + "DisplayEndPacket":"RowBox[{\"DisplayEndPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates the end of a series of expressions relating to a postscript graphic.", + "DisplayForm":"RowBox[{\"DisplayForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with low-level boxes inside StyleBox[\"expr\", \"TI\"] shown in explicit two-dimensional or other form. ", + "DisplayFunction":"DisplayFunction is an option for graphics and sound functions that specifies a function to apply to graphics and sound objects before returning them.", + "DisplayPacket":"RowBox[{\"DisplayPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates the beginning of a series of expressions related to a PostScript graphic.", + "DisplayString":"RowBox[{\"DisplayString\", \"[\", StyleBox[\"graphics\", \"TI\"], \"]\"}] generates a string giving graphics or sound in PostScript format. \nRowBox[{\"DisplayString\", \"[\", RowBox[{StyleBox[\"graphics\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a string giving graphics or sound in the specified format. \nRowBox[{\"DisplayString\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a string giving boxes, cells, or notebook expressions in the specified format. ", + "DistanceFunction":"DistanceFunction is an option for functions such as Nearest that specifies the distance value to assume between any two specified points.", + "DistanceMatrix":"RowBox[{\"DistanceMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the matrix of distances between each pair of elements SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]]. \nRowBox[{\"DistanceMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the matrix of distances between each pair of elements SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]].", + "DistanceTransform":"RowBox[{\"DistanceTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the distance transform of StyleBox[\"image\", \"TI\"], in which the value of each pixel is replaced by its distance to the nearest background pixel.\nRowBox[{\"DistanceTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "Distribute":"RowBox[{\"Distribute\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] distributes StyleBox[\"f\", \"TI\"] over Plus appearing in any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Distribute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] distributes over StyleBox[\"g\", \"TI\"]. \nRowBox[{\"Distribute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] performs the distribution only if the head of StyleBox[\"expr\", \"TI\"] is StyleBox[\"f\", \"TI\"]. ", + "Distributed":"RowBox[{\"Distributed\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}] asserts that the random variable StyleBox[\"x\", \"TI\"] is distributed according to the probability distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Distributed\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] or RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}] asserts that the random vector RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is distributed according to the multivariate probability distribution StyleBox[\"dist\", \"TI\"].", + "DistributedContexts":"DistributedContexts is an option for various parallel computing functions that specifies which definitions for symbols appearing in an expression should be distributed to all parallel kernels.", + "DistributeDefinitions":"RowBox[{\"DistributeDefinitions\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] distributes all definitions for the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] to all parallel kernels.\nRowBox[{\"DistributeDefinitions\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] distributes definitions for all symbols in the specified context.", + "DistributionChart":"RowBox[{\"DistributionChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a distribution chart with a distribution symbol for each SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DistributionChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a distribution chart with symbol features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"DistributionChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a distribution chart from multiple groups of datasets RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "DistributionFitTest":"RowBox[{\"DistributionFitTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed. \nRowBox[{\"DistributionFitTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"DistributionFitTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "DistributionParameterAssumptions":"RowBox[{\"DistributionParameterAssumptions\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives a logical expression for assumptions on parameters in the symbolic distribution StyleBox[\"dist\", \"TI\"].", + "DistributionParameterQ":"RowBox[{\"DistributionParameterQ\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] yields True if StyleBox[\"dist\", \"TI\"] is a valid distribution, and yields False otherwise.", + "Dithering":"Dithering is an option for ColorQuantize that specifies whether or not to apply dithering while quantizing the pixel values.", + "Div":"RowBox[{\"Div\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the divergence RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}]}].\nRowBox[{\"Div\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the divergence in the coordinates StyleBox[\"chart\", \"TI\"].", + "Divide":"RowBox[{StyleBox[\"x\", \"TI\"], \"\/\", StyleBox[\"y\", \"TI\"]}] or RowBox[{\"Divide\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is equivalent to RowBox[{StyleBox[\"x\", \"TI\"], \" \", RowBox[{StyleBox[\"y\", \"TI\"], \"^\", RowBox[{\"-\", \"1\"}]}]}]. ", + "DivideBy":"RowBox[{StyleBox[\"x\", \"TI\"], \"\/=\", StyleBox[\"c\", \"TI\"]}] divides StyleBox[\"x\", \"TI\"] by StyleBox[\"c\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", + "Dividers":"Dividers is an option for Grid and related constructs that specifies where and how to draw divider lines.", + "DivideSides":"RowBox[{\"DivideSides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] divides each side of the equation or inequality StyleBox[\"rel\", \"TI\"] by StyleBox[\"x\", \"TI\"].\nRowBox[{\"DivideSides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] divides the corresponding sides of two equations or inequalities.\nRowBox[{\"DivideSides\", \"[\", StyleBox[\"rel\", \"TI\"], \"]\"}] divides each side of StyleBox[\"rel\", \"TI\"] by the right-hand side, producing a 1 right-hand side.", + "Divisible":"RowBox[{\"Divisible\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"n\", \"TI\"] is divisible by StyleBox[\"m\", \"TI\"], and yields False if it is not. ", + "Divisors":"RowBox[{\"Divisors\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the integers that divide StyleBox[\"n\", \"TI\"]. ", + "DivisorSigma":"RowBox[{\"DivisorSigma\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the divisor function RowBox[{SubscriptBox[\"σ\", StyleBox[\"k\", \"TI\"]], \"(\", StyleBox[\"n\", \"TI\"], \")\"}]. ", + "DivisorSum":"RowBox[{\"DivisorSum\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] represents the sum of RowBox[{StyleBox[\"form\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] for all StyleBox[\"i\", \"TI\"] that divide StyleBox[\"n\", \"TI\"].\nRowBox[{\"DivisorSum\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] includes only those divisors for which RowBox[{StyleBox[\"cond\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] gives True.", + "DMSList":"RowBox[{\"DMSList\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] converts an angle StyleBox[\"θ\", \"TR\"] given in decimal degrees to a DMS list RowBox[{\"{\", RowBox[{StyleBox[\"degree\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}].\nRowBox[{\"DMSList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dms\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a DMS string to a DMS list RowBox[{\"{\", RowBox[{StyleBox[\"degree\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}].\nRowBox[{\"DMSList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"latlong\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a latitude-longitude string to a pair of DMS lists.", + "DMSString":"RowBox[{\"DMSString\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] converts an angle StyleBox[\"θ\", \"TR\"] given in decimal degrees to a degrees-minutes-seconds string.\nRowBox[{\"DMSString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"}\"}], \"]\"}] converts latitude and longitude given in decimal degrees to a DMS latitude-longitude string.\nRowBox[{\"DMSString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] converts a DMS list to a DMS string.", + "Do":"RowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] StyleBox[\"n\", \"TI\"] times. \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with the variable StyleBox[\"i\", \"TI\"] successively taking on the values 1 through SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] (in steps of 1). \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] looping over different values of StyleBox[\"j\", \"TI\"] etc. for each StyleBox[\"i\", \"TI\"]. ", + "DockedCells":"DockedCells is an option for notebooks that gives a list of cells that are to be displayed \"docked\" at the top of the notebook.", + "DocumentGenerator":"RowBox[{\"DocumentGenerator\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] represents a document generator with template StyleBox[\"template\", \"TI\"] to be evaluated on the schedule defined by StyleBox[\"timespec\", \"TI\"].\nRowBox[{\"DocumentGenerator\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"driver\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] takes parameters for filling the template from StyleBox[\"driver\", \"TI\"].", + "DocumentGeneratorInformation":"RowBox[{\"DocumentGeneratorInformation\", \"[\", StyleBox[\"cloudobj\", \"TI\"], \"]\"}] returns the properties of the DocumentGenerator StyleBox[\"cloudobj\", \"TI\"].\nRowBox[{\"DocumentGeneratorInformation\", \"[\", RowBox[{StyleBox[\"cloudobj\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property StyleBox[\"property\", \"TI\"].", + "DocumentGenerators":"RowBox[{\"DocumentGenerators\", \"[\", \"]\"}] returns a list of CloudObject expressions that represent currently deployed document generators.", + "DocumentNotebook":"RowBox[{\"DocumentNotebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a complete document notebook in the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", + "DocumentWeightingRules":"DocumentWeightingRules is an option for TextSearch and related functions that allows the specification of weights for documents based on the values of fields in the search index. ", + "DominantColors":"RowBox[{\"DominantColors\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns dominant colors in StyleBox[\"image\", \"TI\"].\nRowBox[{\"DominantColors\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] dominant colors in StyleBox[\"image\", \"TI\"].\nRowBox[{\"DominantColors\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns the specified property StyleBox[\"prop\", \"TI\"] for the regions that belong to the same dominant color.\nRowBox[{\"DominantColors\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the output in the specified StyleBox[\"format\", \"TI\"].\nRowBox[{\"DominantColors\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns dominant colors in each SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "DOSTextFormat":"DOSTextFormat is an option for OpenRead, OpenWrite, and OpenAppend that specifies whether files should be opened in text mode. With RowBox[{\"DOSTextFormat\", \" \", \"->\", \" \", \"True\"}], Mathematica uses the normal text format for the type of computer on which Mathematica is running. Text mode typically entails translation of a text file's line-ending characters into the newline character \"\\n\". With RowBox[{\"DOSTextFormat\", \" \", \"->\", \" \", \"False\"}], files are opened in \"binary mode\", in which no such translation is performed. On some systems, there is no difference between text mode and binary mode.", + "Dot":"RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"], \".\", StyleBox[\"c\", \"TI\"]}] or RowBox[{\"Dot\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives products of vectors, matrices, and tensors. ", + "DotDashed":"DotDashed is a graphics directive specifying that lines that follow should be drawn dot-dashed.", + "DotEqual":"RowBox[{\"DotEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≐\", StyleBox[\"y\", \"TI\"], \"≐\", StyleBox[\"…\", \"TR\"]}].", + "DotLayer":"RowBox[{\"DotLayer\", \"[\", \"]\"}] represents a net layer that takes the dot product of two tensors.", + "DotPlusLayer":"RowBox[{\"DotPlusLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is equivalent to RowBox[{\"LinearLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] and should no longer be used. ", + "Dotted":"Dotted is a graphics directive specifying that lines that follow should be drawn dotted.", + "DoubleBracketingBar":"RowBox[{\"DoubleBracketingBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"\"}].", + "DoubleDownArrow":"RowBox[{\"DoubleDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇓\", StyleBox[\"y…\", \"TI\"]}].", + "DoubleLeftArrow":"RowBox[{\"DoubleLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇐\", StyleBox[\"y\", \"TI\"], \"⇐\", StyleBox[\"…\", \"TR\"]}].", + "DoubleLeftRightArrow":"RowBox[{\"DoubleLeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇔\", StyleBox[\"y\", \"TI\"], \"⇔\", StyleBox[\"…\", \"TR\"]}].", + "DoubleLeftTee":"RowBox[{\"DoubleLeftTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⫤\", \"y\"}].", + "DoubleLongLeftArrow":"RowBox[{\"DoubleLongLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟸\", StyleBox[\"y\", \"TI\"], \"⟸\", StyleBox[\"…\", \"TR\"]}].", + "DoubleLongLeftRightArrow":"RowBox[{\"DoubleLongLeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟺\", StyleBox[\"y\", \"TI\"], \"⟺\", StyleBox[\"…\", \"TR\"]}].", + "DoubleLongRightArrow":"RowBox[{\"DoubleLongRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟹\", StyleBox[\"y\", \"TI\"], \"⟹\", StyleBox[\"…\", \"TR\"]}].", + "DoubleRightArrow":"RowBox[{\"DoubleRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇒\", StyleBox[\"y\", \"TI\"], \"⇒\", StyleBox[\"…\", \"TR\"]}].", + "DoubleRightTee":"RowBox[{\"DoubleRightTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊨\", \"y\"}].", + "DoubleUpArrow":"RowBox[{\"DoubleUpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇑\", StyleBox[\"y\", \"TI\"], \"⇑\", StyleBox[\"…\", \"TR\"]}].", + "DoubleUpDownArrow":"RowBox[{\"DoubleUpDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇕\", StyleBox[\"y\", \"TI\"], \"⇕\", StyleBox[\"…\", \"TR\"]}].", + "DoubleVerticalBar":"RowBox[{\"DoubleVerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∥\", StyleBox[\"y\", \"TI\"], \"∥\", StyleBox[\"…\", \"TR\"]}].", + "DoublyInfinite":"DoublyInfinite is an option for LerchPhi. With RowBox[{\"DoublyInfinite\", \" \", \"->\", \" \", \"True\"}], the summation is taken from -Infinity to Infinity. With RowBox[{\"DoublyInfinite\", \" \", \"->\", \" \", \"False\"}], the summation is taken from zero to Infinity.", + "DownArrow":"RowBox[{\"DownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↓\", StyleBox[\"y\", \"TI\"], \"↓\", StyleBox[\"…\", \"TR\"]}].", + "DownArrowBar":"RowBox[{\"DownArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⤓\", StyleBox[\"y\", \"TI\"], \"⤓\", StyleBox[\"…\", \"TR\"]}].", + "DownArrowUpArrow":"RowBox[{\"DownArrowUpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇵\", StyleBox[\"y\", \"TI\"], \"⇵\", StyleBox[\"…\", \"TR\"]}].", + "DownLeftRightVector":"RowBox[{\"DownLeftRightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥐\", StyleBox[\"y\", \"TI\"], \"⥐\", StyleBox[\"…\", \"TR\"]}].", + "DownLeftTeeVector":"RowBox[{\"DownLeftTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥞\", StyleBox[\"y\", \"TI\"], \"⥞\", StyleBox[\"…\", \"TR\"]}].", + "DownLeftVector":"RowBox[{\"DownLeftVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↽\", StyleBox[\"y\", \"TI\"], \"↽\", StyleBox[\"…\", \"TR\"]}].", + "DownLeftVectorBar":"RowBox[{\"DownLeftVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥖\", StyleBox[\"y\", \"TI\"], \"⥖\", StyleBox[\"…\", \"TR\"]}].", + "DownRightTeeVector":"RowBox[{\"DownRightTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥟\", StyleBox[\"y\", \"TI\"], \"⥟\", StyleBox[\"…\", \"TR\"]}].", + "DownRightVector":"RowBox[{\"DownRightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇁\", StyleBox[\"y\", \"TI\"], \"⇁\", StyleBox[\"…\", \"TR\"]}].", + "DownRightVectorBar":"RowBox[{\"DownRightVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥗\", StyleBox[\"y\", \"TI\"], \"⥗\", StyleBox[\"…\", \"TR\"]}].", + "Downsample":"RowBox[{\"Downsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a downsampled version of the array by sampling every StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] element.\nRowBox[{\"Downsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] starts sampling from the element at position StyleBox[\"offset\", \"TI\"].\nRowBox[{\"Downsample\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] downsamples an image.", + "DownTee":"RowBox[{\"DownTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊤\", \"y\"}].", + "DownTeeArrow":"RowBox[{\"DownTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↧\", StyleBox[\"y\", \"TI\"], \"↧\", StyleBox[\"…\", \"TR\"]}].", + "DownValues":"RowBox[{\"DownValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all downvalues defined for the symbol StyleBox[\"f\", \"TI\"]. ", + "DragAndDrop":"DragAndDrop is a global front end option that specifies whether to allow drag‐and‐drop editing. ", + "Drop":"RowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with its first StyleBox[\"n\", \"TI\"] elements dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with its last StyleBox[\"n\", \"TI\"] elements dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with its StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] element dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in steps of StyleBox[\"s\", \"TI\"] dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list in which elements specified by SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]] have been dropped at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"]. ", + "DropoutLayer":"RowBox[{\"DropoutLayer\", \"[\", \"]\"}] represents a net layer that sets its input elements to zero with probability 0.5 during training, multiplying the remainder by 2.\nRowBox[{\"DropoutLayer\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] sets its input elements to zero with probability StyleBox[\"p\", \"TI\"] during training.", + "DSolve":"RowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] solves a differential equation for the function StyleBox[\"u\", \"TI\"], with independent variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves a differential equation for StyleBox[\"x\", \"TI\"] between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] solves a list of differential equations. \nRowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] solves a partial differential equation. \nRowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the partial differential equation StyleBox[\"eqn\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", + "DSolveValue":"RowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] determined by a symbolic solution to the ordinary differential equation StyleBox[\"eqn\", \"TI\"] with independent variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses a symbolic solution for StyleBox[\"x\", \"TI\"] between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DSolveValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses a solution for the partial differential equation StyleBox[\"eqn\", \"TI\"]. \nRowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a symbolic solution for a list of differential equations.\nRowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] uses a solution of the partial differential equation StyleBox[\"eqn\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", + "Dt":"RowBox[{\"Dt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the total derivative RowBox[{StyleBox[\"d\", \"TI\"], StyleBox[\"f\", \"TI\"], \"\/\", StyleBox[\"d\", \"TI\"], StyleBox[\"x\", \"TI\"]}]. \nRowBox[{\"Dt\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives the total differential StyleBox[RowBox[{\"d\", \"f\"}], \"TI\"]. \nRowBox[{\"Dt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple derivative RowBox[{SuperscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]], StyleBox[\"f\", \"TI\"], \"\/\", StyleBox[\"d\", \"TI\"], SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]. \nRowBox[{\"Dt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives RowBox[{StyleBox[\"d\", \"TI\"], \"\/\", RowBox[{StyleBox[\"d\", \"TI\"], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", RowBox[{StyleBox[\"d\", \"TI\"], \"\/\", StyleBox[\"d\", \"TI\"]}], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", \"…\", \" \", StyleBox[\"f\", \"TI\"]}]}]. ", + "DualSystemsModel":"RowBox[{\"DualSystemsModel\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the dual of the state-space model StyleBox[\"ssm\", \"TI\"]. ", + "DumpGet":"RowBox[{\"DumpGet\", \"[\", \" \", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads in a file saved with DumpSave.", + "DumpSave":"RowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).mx\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"symbol\", \"TI\"]}], \"]\"}] writes definitions associated with a symbol to a file in internal StyleBox[\"Wolfram System\", \"RebrandingTerm\"] format. \nRowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).mx\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True]}], \"]\"}] writes out definitions associated with all symbols in the specified context. \nRowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).mx\\\"\",ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes out definitions for several symbols or contexts. \nRowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"package\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"objects\", \"TI\"]}], \"]\"}] chooses the name of the output file based on the computer system used. ", + "DuplicateFreeQ":"RowBox[{\"DuplicateFreeQ\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives True if StyleBox[\"list\", \"TI\"] has no duplicates, and False otherwise.\nRowBox[{\"DuplicateFreeQ\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] applies StyleBox[\"test\", \"TI\"] to pairs of elements to determine whether they should be considered duplicates.", + "Duration":"RowBox[{\"Duration\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the duration of StyleBox[\"expr\", \"TI\"].", + "Dynamic":"RowBox[{\"Dynamic\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an object that displays as the dynamically updated current value of StyleBox[\"expr\", \"TI\"]. If the displayed form of RowBox[{\"Dynamic\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is interactively changed or edited, an assignment RowBox[{StyleBox[\"expr\", \"TI\"], \"=\", StyleBox[\"val\", \"TI\"]}] is done to give StyleBox[\"expr\", \"TI\"] the new value StyleBox[\"val\", \"TI\"] that corresponds to the displayed form. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"None\"}], \"]\"}] does not allow interactive changing or editing. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] continually evaluates RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] during interactive changing or editing of StyleBox[\"val\", \"TI\"]. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \"]\"}] also evaluates RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"end\", \"TI\"]], \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] when interactive changing or editing is complete. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"start\", \"TI\"]], \",\", StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \"]\"}] also evaluates RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"start\", \"TI\"]], \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] when interactive changing or editing begins. ", + "DynamicBoxOptions":"RowBox[{DynamicBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for DynamicBox objects.", + "DynamicEvaluationTimeout":"DynamicEvaluationTimeout is an option for displayed objects, cells, and notebooks that specifies the timeout in seconds for any Dynamic computations they contain.", + "DynamicGeoGraphics":"RowBox[{\"DynamicGeoGraphics\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a dynamic, interactive, two-dimensional geographical image.", + "DynamicImage":"RowBox[{\"DynamicImage\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] displays a dynamic version of StyleBox[\"image\", \"TI\"], supporting panning, zooming, etc.\nRowBox[{\"DynamicImage\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] displays a dynamic version of the image stored in StyleBox[\"file\", \"TI\"]. \nRowBox[{\"DynamicImage\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] displays a dynamic version of the image stored in StyleBox[\"url\", \"TI\"].", + "DynamicModule":"RowBox[{\"DynamicModule\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an object which maintains the same local instance of the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in the course of all evaluations of Dynamic objects in StyleBox[\"expr\", \"TI\"]. Symbols specified in a DynamicModule will by default have their values maintained even across StyleBox[\"Wolfram System\", \"RebrandingTerm\"] sessions. \nRowBox[{\"DynamicModule\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies initial values for StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. ", + "DynamicModuleBoxOptions":"RowBox[{DynamicModuleBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for DynamicModuleBox objects.", + "DynamicModuleValues":"DynamicModuleValues is an option for DynamicModule that stores downvalues of local symbols.", + "DynamicSetting":"RowBox[{\"DynamicSetting\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] represents an object which displays as StyleBox[\"e\", \"TI\"], but is interpreted as the dynamically updated current value of RowBox[{\"Setting\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] if supplied as StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] input.\nRowBox[{\"DynamicSetting\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] displays as StyleBox[\"e\", \"TI\"], but is interpreted as RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] if supplied as input.", + "DynamicWrapper":"RowBox[{\"DynamicWrapper\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an object that displays as StyleBox[\"e\", \"TI\"], but dynamically updates the expression StyleBox[\"expr\", \"TI\"] whenever that object is visible on screen.", + "DynamicWrapperBoxOptions":"RowBox[{DynamicWrapperBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for DynamicWrapperBox objects.", + "E":"E is the exponential constant (base of natural logarithms), with numerical value RowBox[{\"≃\", \"2.71828\"}].", + "EarthImpactData":"RowBox[{\"EarthImpactData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the earth impact crater StyleBox[\"entity\", \"TI\"].\nRowBox[{\"EarthImpactData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified earth impact crater names.\nRowBox[{\"EarthImpactData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "EarthquakeData":"RowBox[{\"EarthquakeData\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives all earthquake properties for the location corresponding to StyleBox[\"loc\", \"TI\"].\nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"mag\", \"TI\"]}], \"]\"}] restricts earthquakes returned to the magnitude range StyleBox[\"mag\", \"TI\"]. \nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"mag\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] gives earthquake data within the magnitude range StyleBox[\"mag\", \"TI\"] during the time interval StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"mag\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a time series for the specific earthquake StyleBox[\"property\", \"TI\"] for earthquakes within the magnitude range StyleBox[\"mag\", \"TI\"] during the time interval StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns data for a specific earthquake. ", + "EccentricityCentrality":"RowBox[{\"EccentricityCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of eccentricity centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EccentricityCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "Echo":"RowBox[{\"Echo\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints StyleBox[\"expr\", \"TI\"] and returns StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Echo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] prints StyleBox[\"expr\", \"TI\"] prepending StyleBox[\"label\", \"TI\"] and returns StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Echo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] prints RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prepending StyleBox[\"label\", \"TI\"] and returns StyleBox[\"expr\", \"TI\"].", + "EchoFunction":"RowBox[{RowBox[{\"EchoFunction\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] and returns StyleBox[\"expr\", \"TI\"].\nRowBox[{RowBox[{\"EchoFunction\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], prepending StyleBox[\"label\", \"TI\"], and returns StyleBox[\"expr\", \"TI\"].", + "EclipseType":"EclipseType is an option for SolarEclipse and LunarEclipse that specifies the type of eclipse being queried for.", + "EdgeAdd":"RowBox[{\"EdgeAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] makes a graph by adding the edge StyleBox[\"e\", \"TI\"] to the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds a collection of edges to StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeAdd\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeBetweennessCentrality":"RowBox[{\"EdgeBetweennessCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of betweenness centralities for the edges in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeBetweennessCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeCapacity":"EdgeCapacity is an option and property for Graph and related functions that specifies an edge capacity.", + "EdgeConnectivity":"RowBox[{\"EdgeConnectivity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the edge connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] edge connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeConnectivity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeContract":"RowBox[{\"EdgeContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] contracts the edge StyleBox[\"e\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] contracts a collection of edges RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"EdgeContract\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeCost":"EdgeCost is an option and property for Graph and related functions that specifies an edge cost.", + "EdgeCount":"RowBox[{\"EdgeCount\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a count of the number of edges in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeCount\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a count of the number of edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"EdgeCount\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeCoverQ":"RowBox[{\"EdgeCoverQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"elist\", \"TI\"]}], \"]\"}] yields True if the edge list StyleBox[\"elist\", \"TI\"] is an edge cover of the graph StyleBox[\"g\", \"TI\"] and False otherwise.", + "EdgeCycleMatrix":"RowBox[{\"EdgeCycleMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the edge cycle matrix of a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeCycleMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeDelete":"RowBox[{\"EdgeDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] makes a graph by deleting the edge StyleBox[\"e\", \"TI\"] from the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes a collection of edges from StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] deletes all edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"EdgeDelete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeDetect":"RowBox[{\"EdgeDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds edges in StyleBox[\"image\", \"TI\"] and returns the result as a binary image.\nRowBox[{\"EdgeDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] finds edges at the scale of the specified pixel range StyleBox[\"r\", \"TI\"].\nRowBox[{\"EdgeDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses a threshold StyleBox[\"t\", \"TI\"] for selecting image edges.", + "EdgeForm":"RowBox[{\"EdgeForm\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] is a graphics directive that specifies that edges of polygons and other filled graphics objects are to be drawn using the graphics directive or list of directives StyleBox[\"g\", \"TI\"]. ", + "EdgeIndex":"RowBox[{\"EdgeIndex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] gives the integer index for the edge StyleBox[\"e\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeIndex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeLabeling":"EdgeLabeling is an option for GraphPlot and related functions that specifies whether labeling specified for edges should be displayed by default.", + "EdgeLabels":"EdgeLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for edges. ", + "EdgeLabelStyle":"EdgeLabelStyle is an option and property for Graph and related functions that specifies the style to use for edge labels.", + "EdgeList":"RowBox[{\"EdgeList\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of edges for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"EdgeList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeQ":"RowBox[{\"EdgeQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"e\", \"TI\"] is an edge in the graph StyleBox[\"g\", \"TI\"] and False otherwise.", + "EdgeRenderingFunction":"EdgeRenderingFunction is an option for GraphPlot and related functions that gives a function to generate the graphics primitives to use in rendering each edge.", + "EdgeRules":"RowBox[{\"EdgeRules\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of edge rules for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeRules\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "EdgeShapeFunction":"EdgeShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each edge. ", + "EdgeStyle":"EdgeStyle is an option and property for Graph and related functions that specifies what style to use for edges. ", + "EdgeWeight":"EdgeWeight is an option and property for Graph and related functions that specifies an edge weight.", + "Editable":"Editable is an option for displayed objects, cells, and notebooks that specifies whether their contents can be edited interactively using the front end. ", + "EditCellTagsSettings":"EditCellTagsSettings is a global option that specifies settings for the StyleBox[\"Edit Cell Tags\", \"DialogElementName\"] dialog box.", + "EditDistance":"RowBox[{\"EditDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the edit or Levenshtein distance between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "EffectiveInterest":"RowBox[{\"EffectiveInterest\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the effective interest rate corresponding to interest specification StyleBox[\"r\", \"TI\"], compounded at time intervals StyleBox[\"q\", \"TI\"].", + "Eigensystem":"RowBox[{\"Eigensystem\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{StyleBox[\"values\", \"TI\"], \",\", StyleBox[\"vectors\", \"TI\"]}], \"}\"}] of the eigenvalues and eigenvectors of the square matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigensystem\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized eigenvalues and eigenvectors of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Eigensystem\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the eigenvalues and eigenvectors for the first StyleBox[\"k\", \"TI\"] eigenvalues of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigensystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] generalized eigenvalues and eigenvectors.", + "Eigenvalues":"RowBox[{\"Eigenvalues\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of the eigenvalues of the square matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvalues\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized eigenvalues of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Eigenvalues\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] eigenvalues of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvalues\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] generalized eigenvalues.", + "EigenvectorCentrality":"RowBox[{\"EigenvectorCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of eigenvector centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EigenvectorCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of in-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EigenvectorCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of out-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EigenvectorCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "Eigenvectors":"RowBox[{\"Eigenvectors\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of the eigenvectors of the square matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvectors\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized eigenvectors of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Eigenvectors\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] eigenvectors of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvectors\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] generalized eigenvectors.", + "Element":"RowBox[{\"Element\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], StyleBox[\"dom\", \"TI\"]}] asserts that StyleBox[\"x\", \"TI\"] is an element of the domain StyleBox[\"dom\", \"TI\"]. \nRowBox[{\"Element\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}] asserts that StyleBox[\"x\", \"TI\"] is an element of the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Element\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that all the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are elements of StyleBox[\"dom\", \"TI\"]. \nRowBox[{\"Element\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that any expression matching the pattern StyleBox[\"patt\", \"TI\"] is an element of StyleBox[\"dom\", \"TI\"]. ", + "ElementData":"RowBox[{\"ElementData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the chemical element \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"ElementData\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] chemical element.", + "ElementwiseLayer":"RowBox[{\"ElementwiseLayer\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents a net layer that applies a unary function StyleBox[\"f\", \"TI\"] to every element of the input tensor.\nRowBox[{\"ElementwiseLayer\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] applies the function specified by \"StyleBox[\"name\", \"TI\"]\".", + "ElidedForms":"ElidedForms is an option to TextString and related functions that specifies which expressions should be elided.", + "Eliminate":"RowBox[{\"Eliminate\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] eliminates variables between a set of simultaneous equations. ", + "Ellipsoid":"RowBox[{\"Ellipsoid\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an axis-aligned ellipsoid centered at the point StyleBox[\"p\", \"TI\"] and with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Ellipsoid\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents an ellipsoid centered at StyleBox[\"p\", \"TI\"] and weight matrix StyleBox[\"Σ\", \"TR\"].", + "EllipticE":"RowBox[{\"EllipticE\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the complete elliptic integral RowBox[{\"E\", \"(\", \"m\", \")\"}]. \nRowBox[{\"EllipticE\", \"[\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the elliptic integral of the second kind RowBox[{\"E\", \"(\", RowBox[{RowBox[{\"ϕ\", \"\"}], \"m\"}], \")\"}]. ", + "EllipticExp":"RowBox[{\"EllipticExp\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] is the inverse for EllipticLog. It produces a list RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] such that RowBox[{StyleBox[\"u\", \"TI\"], \"==\", RowBox[{\"EllipticLog\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}]}]. ", + "EllipticExpPrime":"RowBox[{\"EllipticExpPrime\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the derivative of RowBox[{\"EllipticExp\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] with respect to StyleBox[\"u\", \"TI\"].", + "EllipticF":"RowBox[{\"EllipticF\", \"[\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the elliptic integral of the first kind RowBox[{\"F\", \"(\", RowBox[{\"ϕ\", \"\", \"m\"}], \")\"}]. ", + "EllipticFilterModel":"RowBox[{\"EllipticFilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] designs a lowpass elliptic filter of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"EllipticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"EllipticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] designs an elliptic filter of the specified type \"\nStyleBox[\"type\", \"TI\"]\", using the StyleBox[\"spec\", \"TI\"].\nRowBox[{\"EllipticFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", + "EllipticK":"RowBox[{\"EllipticK\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the complete elliptic integral of the first kind RowBox[{\"K\", \"(\", \"m\", \")\"}]. ", + "EllipticLog":"RowBox[{\"EllipticLog\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the generalized logarithm associated with the elliptic curve RowBox[{SuperscriptBox[\"y\", \"2\"], \"=\", RowBox[{SuperscriptBox[\"x\", \"3\"], \"+\", RowBox[{\"a\", \" \", SuperscriptBox[\"x\", \"2\"]}], \"+\", RowBox[{\"b\", \" \", \"x\"}]}]}]. ", + "EllipticNomeQ":"RowBox[{\"EllipticNomeQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the nome StyleBox[\"q\", \"TI\"] corresponding to the parameter StyleBox[\"m\", \"TI\"] in an elliptic function. ", + "EllipticPi":"RowBox[{\"EllipticPi\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the complete elliptic integral of the third kind RowBox[{StyleBox[\"Π\", \"TR\"], RowBox[{\"(\", RowBox[{StyleBox[\"n\", \"TI\"], \"\", StyleBox[\"m\", \"TI\"]}], \")\"}]}]. \nRowBox[{\"EllipticPi\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the incomplete elliptic integral RowBox[{StyleBox[\"Π\", \"TR\"], RowBox[{\"(\", RowBox[{StyleBox[\"n\", \"TI\"], \";\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \"\", StyleBox[\"m\", \"TI\"]}]}], \")\"}]}]. ", + "EllipticReducedHalfPeriods":"RowBox[{\"EllipticReducedHalfPeriods\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", \" \", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives a reduced pair of half periods RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", \" \", RowBox[{StyleBox[\"w\", \"TI\"], \"'\"}]}], \"}\"}] corresponding to the same lattice as that of RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", \" \", StyleBox[\"v\", \"TI\"]}], \"}\"}].", + "EllipticTheta":"RowBox[{\"EllipticTheta\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the theta function RowBox[{RowBox[{SubscriptBox[\"ϑ\", \"a\"], \"(\", RowBox[{\"u\", \",\", \"q\"}], \")\"}], RowBox[{\"(\", RowBox[{RowBox[{\"a\", \"=\", \"1\"}], \",\", \"…\", \",\", \"4\"}], \")\"}]}].\nRowBox[{\"EllipticTheta\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the theta constant RowBox[{RowBox[{SubscriptBox[\"θ\", \"a\"], \"(\", \"q\", \")\"}], \"\", RowBox[{SubscriptBox[\"θ\", \"a\"], \"(\", RowBox[{\"0\", \",\", \"q\"}], \")\"}]}].", + "EllipticThetaPrime":"RowBox[{\"EllipticThetaPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"u\", \"TI\"] of the theta function RowBox[{RowBox[{SubscriptBox[\"ϑ\", \"a\"], \"(\", RowBox[{\"u\", \",\", \"q\"}], \")\"}], RowBox[{\"(\", RowBox[{RowBox[{\"a\", \"=\", \"1\"}], \",\", \"…\", \",\", \"4\"}], \")\"}]}].\nRowBox[{\"EllipticThetaPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the theta constant RowBox[{SuperscriptBox[SubscriptBox[\"θ\", \"a\"], \"′\", MultilineFunction -> None], \"(\", RowBox[{\"0\", \",\", \"q\"}], \")\"}].", + "EmbedCode":"RowBox[{\"EmbedCode\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] generates the code necessary to embed the object StyleBox[\"obj\", \"TI\"] on a webpage.\nRowBox[{\"EmbedCode\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates code for an external environment or language of type \"StyleBox[\"dest\", \"TI\"]\".\nRowBox[{\"EmbedCode\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] saves the generated code as files in the directory StyleBox[\"dir\", \"TI\"].\nRowBox[{\"EmbedCode\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] saves the generated code as a file archive in the file location StyleBox[\"loc\", \"TI\"].", + "EmbeddedHTML":"RowBox[{\"EmbeddedHTML\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is an object that formats as a web frame containing the HTML content \"StyleBox[\"string\", \"TI\"]\". \nRowBox[{\"EmbeddedHTML\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] formats as a web rendering of the specified cloud object.", + "EmbeddedService":"RowBox[{\"EmbeddedService\", \"[\", StyleBox[\"service\", \"TI\"], \"]\"}] is an object that formats as a web frame containing content from the specified external service.", + "EmbeddingLayer":"RowBox[{\"EmbeddingLayer\", \"[\", RowBox[{StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a trainable net layer that embeds integers between 1 and StyleBox[\"n\", \"TI\"] into a continuous vector space of dimension StyleBox[\"size\", \"TI\"].\nRowBox[{\"EmbeddingLayer\", \"[\", StyleBox[\"size\", \"TI\"], \"]\"}] leaves the StyleBox[\"n\", \"TI\"] to be inferred from context.", + "EmitSound":"RowBox[{\"EmitSound\", \"[\", StyleBox[\"snd\", \"TI\"], \"]\"}] emits the sound StyleBox[\"snd\", \"TI\"] when evaluated. \nRowBox[{\"EmitSound\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"snd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"snd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] emits each of the sounds SubscriptBox[StyleBox[\"snd\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence. ", + "EmpiricalDistribution":"RowBox[{\"EmpiricalDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an empirical distribution based on the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EmpiricalDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate empirical distribution based on the data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"EmpiricalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an empirical distribution where data values SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]] occur with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "EmptyGraphQ":"RowBox[{\"EmptyGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if StyleBox[\"g\", \"TI\"] is an empty graph and False otherwise.", + "EmptyRegion":"RowBox[{\"EmptyRegion\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the empty subset of SuperscriptBox[\"\", \"n\"]. ", + "Enabled":"Enabled is an option for objects such as Slider that specifies whether the objects should be enabled for interactive manipulation. ", + "Encode":"RowBox[{\"Encode\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes an encoded version of the file StyleBox[\"source\", \"TI\"] to the file StyleBox[\"dest\", \"TI\"]. \nRowBox[{\"<<\", StyleBox[\"dest\", \"TI\"]}] decodes the file before reading its contents. \nRowBox[{\"Encode\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] produces an encoded file that must be read in using RowBox[{\"Get\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}]. ", + "Encrypt":"RowBox[{\"Encrypt\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] encrypts StyleBox[\"expr\", \"TI\"] using the specified password, to give an encrypted object.\nRowBox[{\"Encrypt\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] encrypts StyleBox[\"expr\", \"TI\"] using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].", + "EncryptedObject":"RowBox[{\"EncryptedObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents encrypted data generated by Encrypt.", + "EncryptFile":"RowBox[{\"EncryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"file\", \"TI\"]}], \"]\"}] generates an encrypted version of a file, using the specified password.\nRowBox[{\"EncryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] generates an encrypted version of StyleBox[\"source\", \"TI\"], putting the result in StyleBox[\"target\", \"TI\"].\nRowBox[{\"EncryptFile\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] encrypts using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].", + "End":"RowBox[{\"End\", \"[\", \"]\"}] returns the present context, and reverts to the previous one. ", + "EndAdd":"RowBox[{\"EndAdd\", \"[\", \" \", \"]\"}] returns the present context, and reverts to the previous one, prepending the present context to $ContextPath.", + "EndDialogPacket":"RowBox[{\"EndDialogPacket\", \"[\", StyleBox[\"integer\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet indicating the end of the Dialog subsession referenced by StyleBox[\"integer\", \"TI\"].", + "EndOfBuffer":"EndOfBuffer is a symbol that represents the end of currently available data in the buffer for a process or stream. ", + "EndOfFile":"EndOfFile is a symbol returned by Read when it reaches the end of a file. ", + "EndOfLine":"EndOfLine represents the end of a line in a string for purposes of matching in StringExpression.", + "EndOfString":"EndOfString represents the end of a string for purposes of matching in StringExpression.", + "EndPackage":"RowBox[{\"EndPackage\", \"[\", \"]\"}] restores $Context and $ContextPath to their values before the preceding BeginPackage, and prepends the current context to the list $ContextPath. ", + "EngineeringForm":"RowBox[{\"EngineeringForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with all real numbers in StyleBox[\"expr\", \"TI\"] given in engineering notation. \nRowBox[{\"EngineeringForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with numbers given to StyleBox[\"n\", \"TI\"]‐digit precision. ", + "EnterExpressionPacket":"RowBox[{\"EnterExpressionPacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that requests the evaluation of StyleBox[\"expr\", \"TI\"].", + "EnterTextPacket":"RowBox[{\"EnterTextPacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that requests the parsing and evaluation of StyleBox[\"string\", \"TI\"] as an expression.", + "Entity":"RowBox[{\"Entity\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] represents an entity of specified type identified by StyleBox[\"name\", \"TI\"].", + "EntityClass":"RowBox[{\"EntityClass\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] represents a class of entities of the specified type identified by StyleBox[\"name\", \"TI\"].\nRowBox[{\"EntityClass\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"property\", \"TI\"], \"2\"], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], \"2\"]}], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents an implicitly defined entity class object whose members have values SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"i\", \"TI\"]] for properties SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "EntityClassList":"RowBox[{\"EntityClassList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of entity classes for the specified type of entity.", + "EntityCopies":"RowBox[{\"EntityCopies\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents StyleBox[\"n\", \"TI\"] copies of StyleBox[\"entity\", \"TI\"].", + "EntityGroup":"RowBox[{\"EntityGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] represents a group of entities.", + "EntityInstance":"RowBox[{\"EntityInstance\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", RowBox[{StyleBox[\"qual\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] represents an entity whose qualifier StyleBox[\"qual\", \"TI\"] has value StyleBox[\"val\", \"TI\"].\nRowBox[{\"EntityInstance\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents an entity whose qualifiers SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"i\", \"TI\"]] have values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EntityInstance\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] represents an entity qualified by StyleBox[\"quantity\", \"TI\"].", + "EntityList":"RowBox[{\"EntityList\", \"[\", StyleBox[\"class\", \"TI\"], \"]\"}] gives a list of entities in the specified entity class. \nRowBox[{\"EntityList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of entities of the specified type.", + "EntityPrefetch":"RowBox[{\"EntityPrefetch\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] fetches cacheable values associated with all entities of the specified type.\nRowBox[{\"EntityPrefetch\", \"[\", RowBox[{\"EntityProperty\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}], \"]\"}] fetches all values for the specified property.", + "EntityProperties":"RowBox[{\"EntityProperties\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] lists properties associated with entity type StyleBox[\"type\", \"TI\"].", + "EntityProperty":"RowBox[{\"EntityProperty\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"pname\", \"TI\"]}], \"]\"}] represents a property identified by StyleBox[\"pname\", \"TI\"] for use in EntityValue.\nRowBox[{\"EntityProperty\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"pname\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a property modified by the qualifier rules RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", + "EntityPropertyClass":"RowBox[{\"EntityPropertyClass\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"pcname\", \"TI\"]}], \"]\"}] represents a class of properties identified by the name StyleBox[\"pcname\", \"TI\"].", + "EntityRegister":"RowBox[{\"EntityRegister\", \"[\", StyleBox[\"estore\", \"TI\"], \"]\"}] registers the entities in the entity store StyleBox[\"estore\", \"TI\"].", + "EntityStore":"RowBox[{\"EntityStore\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an empty entity store for entities of type \"StyleBox[\"type\", \"TI\"]\".\nRowBox[{\"EntityStore\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents an entity store for entities of type \"StyleBox[\"type\", \"TI\"]\" with properties and values defined by StyleBox[\"data\", \"TI\"].\nRowBox[{\"EntityStore\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tspec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tspec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] represents an entity store for entities of multiple types.", + "EntityStores":"RowBox[{\"EntityStores\", \"[\", \"]\"}] gives a list of all entity stores that are accessed when Entity is used.", + "EntityTypeName":"RowBox[{\"EntityTypeName\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the name of the entity type of StyleBox[\"entity\", \"TI\"].\nRowBox[{\"EntityTypeName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the name of the entity type for SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]].", + "EntityUnregister":"RowBox[{\"EntityUnregister\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] unregisters all entities in the first entity store that defines entities of the specified type.\nRowBox[{\"EntityUnregister\", \"[\", StyleBox[\"store\", \"TI\"], \"]\"}] unregisters all entities in the specified entity store.", + "EntityValue":"RowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the given entity.\nRowBox[{\"EntityValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the values of multiple properties for multiple entities.\nRowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified annotation associated with the property.", + "Entropy":"RowBox[{\"Entropy\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the base information entropy of the values in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Entropy\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the base StyleBox[\"k\", \"TI\"] information entropy.", + "EntropyFilter":"RowBox[{\"EntropyFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the entropy value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"EntropyFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "Environment":"RowBox[{\"Environment\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the value of an operating system environment variable. ", + "Epilog":"Epilog is an option for graphics functions that gives a list of graphics primitives to be rendered after the main part of the graphics is rendered. ", + "EpilogFunction":"EpilogFunction is an option for DocumentGenerator allowing arbitrary code to be executed after a document is generated.", + "Equal":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}] returns True if StyleBox[\"lhs\", \"TI\"] and StyleBox[\"rhs\", \"TI\"] are identical. ", + "EqualColumns":"EqualColumns is an option to GridBox which specifies whether the size of the columns are all set to the size of the largest column. The default value of EqualColumns is False.", + "EqualRows":"EqualRows is an option to GridBox which specifies whether the size of the rows are all set to the size of the largest row. The default value of EqualRows is False.", + "EqualTilde":"RowBox[{\"EqualTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≂\", \"y\", \"≂\", \"…\"}].", + "EqualTo":"RowBox[{\"EqualTo\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \"==\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"]. ", + "EquatedTo":"EquatedTo is an option for Roots, which specifies an expression to use in place of the variable in the solution.", + "Equilibrium":"RowBox[{\"Equilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇌\", \"y\", \"⇌\", \"…\"}].", + "EquirippleFilterKernel":"RowBox[{\"EquirippleFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a finite impulse response (FIR) filter kernel of length StyleBox[\"n\", \"TI\"] with an equiripple amplitude response, given the specified left and right band edge frequencies RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"Li\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"Ri\", \"TI\"]]}], \"}\"}] and amplitudes SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EquirippleFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses relative weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]] for each frequency band.\nRowBox[{RowBox[{\"EquirippleFilterKernel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}]}]}], \"]\"}] creates a filter of the specified \"\nStyleBox[\"type\", \"TI\"]\".", + "Equivalent":"RowBox[{\"Equivalent\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the logical equivalence RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"⇔\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"⇔\", StyleBox[\"…\", \"TR\"]}], giving True when all of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the same.", + "Erf":"RowBox[{\"Erf\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the error function RowBox[{\"erf\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"Erf\", \"[\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] gives the generalized error function RowBox[{RowBox[{\"erf\", \"(\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"1\"], \")\"}], \"-\", RowBox[{\"erf\", \"(\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"0\"], \")\"}]}]. ", + "Erfc":"RowBox[{\"Erfc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the complementary error function RowBox[{\"erfc\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "Erfi":"RowBox[{\"Erfi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the imaginary error function RowBox[{RowBox[{\"erf\", \"(\", RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", StyleBox[\"i\", \"TI\"]}]. ", + "ErlangB":"RowBox[{\"ErlangB\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] computes the Erlang B loss probability for an M\/M\/c\/c queue.", + "ErlangC":"RowBox[{\"ErlangC\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] computes the Erlang C probability for nonzero waiting time in an M\/M\/c queue.", + "ErlangDistribution":"RowBox[{\"ErlangDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents the Erlang distribution with shape parameter StyleBox[\"k\", \"TI\"] and rate StyleBox[\"λ\", \"TR\"].", + "Erosion":"RowBox[{\"Erosion\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological erosion of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Erosion\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the erosion with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Erosion\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies erosion to an array of data.", + "ErrorBox":"RowBox[{ErrorBox, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level box construct that represents boxes that cannot be interpreted in input or output. ", + "EscapeRadius":"EscapeRadius is an option to MandelbrotSetPlot that specifies the criterion to use to decide that a point is not in the Mandelbrot set.", + "EstimatedBackground":"RowBox[{\"EstimatedBackground\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] estimates the background of StyleBox[\"data\", \"TI\"].\nRowBox[{\"EstimatedBackground\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] tries to preserve peaks up to scale StyleBox[\"σ\", \"TR\"].", + "EstimatedDistribution":"RowBox[{\"EstimatedDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] estimates the parametric distribution StyleBox[\"dist\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"EstimatedDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] estimates the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], ….\nRowBox[{\"EstimatedDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"idist\", \"TI\"]}], \"]\"}] estimates distribution StyleBox[\"dist\", \"TI\"] with starting values taken from the instantiated distribution StyleBox[\"idist\", \"TI\"].", + "EstimatedProcess":"RowBox[{\"EstimatedProcess\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"]}], \"]\"}] estimates the parametric process StyleBox[\"proc\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"EstimatedProcess\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] estimates the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], ….\nRowBox[{\"EstimatedProcess\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"iproc\", \"TI\"]}], \"]\"}] estimates process StyleBox[\"proc\", \"TI\"] with starting values taken from the instantiated process StyleBox[\"iproc\", \"TI\"].", + "EstimatorGains":"RowBox[{\"EstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the estimator gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"], such that the poles of the estimator are SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies the measured outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] to use.", + "EstimatorRegulator":"RowBox[{\"EstimatorRegulator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] constructs the feedback regulator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] with estimator and feedback gain matrices StyleBox[\"l\", \"TI\"] and StyleBox[\"κ\", FontFamily -> \"Times\"], respectively.\nRowBox[{\"EstimatorRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] uses only StyleBox[\"sensors\", \"TI\"] as the measured outputs of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"EstimatorRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] specifies StyleBox[\"finputs\", \"TI\"] as the feedback inputs of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"EstimatorRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"], \",\", StyleBox[\"einputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] specifies StyleBox[\"einputs\", \"TI\"] as the exogenous deterministic inputs.", + "EuclideanDistance":"RowBox[{\"EuclideanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Euclidean distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "EulerAngles":"RowBox[{\"EulerAngles\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives Euler angles RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}] corresponding to the rotation matrix StyleBox[\"r\", \"TI\"].\nRowBox[{\"EulerAngles\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives Euler angles RowBox[{\"{\", RowBox[{\"α\", \",\", \"β\", \",\", \"γ\"}], \"}\"}] with rotation order RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]. ", + "EulerE":"RowBox[{\"EulerE\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Euler number SubscriptBox[StyleBox[\"E\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"EulerE\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Euler polynomial RowBox[{SubscriptBox[StyleBox[\"E\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "EulerGamma":"EulerGamma is Euler’s constant StyleBox[\"γ\", \"TR\"], with numerical value RowBox[{\"≃\", \"0.577216\"}]. ", + "EulerianGraphQ":"RowBox[{\"EulerianGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is Eulerian, and False otherwise.", + "EulerMatrix":"RowBox[{\"EulerMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \"]\"}] gives the Euler 3D rotation matrix formed by rotating by StyleBox[\"α\", \"TR\"] around the current z axis, then by StyleBox[\"β\", \"TR\"] around the current y axis, and then by StyleBox[\"γ\", \"TR\"] around the current z axis. \nRowBox[{\"EulerMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the Euler 3D rotation matrix corresponding, first rotating by StyleBox[\"α\", \"TR\"] around the current StyleBox[\"a\", \"TI\"] axis, then by StyleBox[\"β\", \"TR\"] around the current StyleBox[\"b\", \"TI\"] axis, and finally by StyleBox[\"γ\", \"TR\"] around the current StyleBox[\"c\", \"TI\"] axis.", + "EulerPhi":"RowBox[{\"EulerPhi\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Euler totient function RowBox[{\"ϕ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}]. ", + "Evaluatable":"Evaluatable is an option for Cell that specifies whether a cell should be used as input to be evaluated by the StyleBox[\"Wolfram Language\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] kernel. ", + "Evaluate":"RowBox[{\"Evaluate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] causes StyleBox[\"expr\", \"TI\"] to be evaluated even if it appears as the argument of a function whose attributes specify that it should be held unevaluated. ", + "EvaluatePacket":"RowBox[{\"EvaluatePacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet requesting evaluation of StyleBox[\"expr\", \"TI\"].", + "EvaluateScheduledTask":"RowBox[{\"EvaluateScheduledTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] triggers immediate local execution of the specified task object.", + "EvaluationBox":"RowBox[{EvaluationBox, \"[\", \"]\"}] returns a BoxObject corresponding to the box structure in which this function is being evaluated.", + "EvaluationCell":"RowBox[{\"EvaluationCell\", \"[\", \"]\"}] returns a CellObject corresponding to the cell in which this function is being evaluated.", + "EvaluationCompletionAction":"EvaluationCompletionAction is an option for notebooks that specifies the action taken when an evaluation is completed.", + "EvaluationData":"RowBox[{\"EvaluationData\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an association containing the result of evaluating StyleBox[\"expr\", \"TI\"] and metadata about the process of doing so.", + "EvaluationElements":"EvaluationElements is an option for NotebookEvaluate that determines which cells to evaluate.", + "EvaluationEnvironment":"EvaluationEnvironment is an option for functions such as InitializationValue and InitializationObjects that specifies the environment in which an initialization is intended to be used.", + "EvaluationMonitor":"EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are evaluated numerically. ", + "EvaluationNotebook":"RowBox[{\"EvaluationNotebook\", \"[\", \"]\"}] gives the notebook in which this function is being evaluated. ", + "EvaluationObject":"RowBox[{\"EvaluationObject\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an expression submitted for evaluation on any available parallel kernel.", + "Evaluator":"Evaluator is an option for objects such as Button, Dynamic, and Cell that gives the name of the kernel to use to evaluate their contents. ", + "EvaluatorNames":"EvaluatorNames is a global option that specifies the kernels that are currently configured to perform evaluations.", + "EvenQ":"RowBox[{\"EvenQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is an even integer, and False otherwise. ", + "EventData":"RowBox[{\"EventData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents event data with explicitly specified censoring SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EventData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ci\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ci\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents event data SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with censoring indicators SubscriptBox[StyleBox[\"ci\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EventData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents event data SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with censoring counts SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EventData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"cspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents event data with censoring and truncation SubscriptBox[StyleBox[\"tr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "EventHandler":"RowBox[{\"EventHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"action\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"action\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] displays as StyleBox[\"expr\", \"TI\"], evaluating SubscriptBox[StyleBox[\"action\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever \"SubscriptBox[\nStyleBox[\"event\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs in connection with StyleBox[\"expr\", \"TI\"]. ", + "EventLabels":"EventLabels is an option to CandlestickChart, KagiChart, and similar functions that specifies events to labels.", + "EventSeries":"RowBox[{\"EventSeries\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \"]\"}] represents a series of events given as time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"EventSeries\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents a series of events with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].", + "ExactBlackmanWindow":"RowBox[{\"ExactBlackmanWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents an exact Blackman window function of StyleBox[\"x\", \"TI\"].", + "ExactNumberQ":"RowBox[{\"ExactNumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is an exact real or complex number, and returns False otherwise.", + "ExactRootIsolation":"ExactRootIsolation is an option for Root, which specifies whether exact isolating intervals rather then numeric approximations should be used to identify algebraic numbers.", + "ExampleData":"RowBox[{\"ExampleData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of names of examples of the specified type.\nRowBox[{\"ExampleData\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] gives the default form of the named example of the specified type.\nRowBox[{\"ExampleData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified element or property of an example.", + "Except":"RowBox[{\"Except\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] is a pattern object which represents any expression except one that matches StyleBox[\"c\", \"TI\"]. \nRowBox[{\"Except\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents any expression that matches StyleBox[\"p\", \"TI\"] but not StyleBox[\"c\", \"TI\"]. ", + "ExcludedForms":"ExcludedForms is an option that gives a list of patterns for expressions that should be excluded from an operation performed by a particular function. ", + "ExcludedLines":"ExcludedLines is an option for SemanticImport and related functions that specifies which lines should be ignored for further processing.", + "ExcludedPhysicalQuantities":"ExcludedPhysicalQuantities is an option for FormulaLookup that specifies physical quantities that should be not used by the formulas returned.", + "ExcludePods":"ExcludePods is an option to WolframAlpha that specifies pod IDs to exclude from the results.", + "Exclusions":"Exclusions is an option that specifies where to exclude in regions used by functions like Plot, Plot3D, and NIntegrate.", + "ExclusionsStyle":"ExclusionsStyle is an option to plotting functions that specifies how to render subregions excluded according to Exclusions. ", + "Exists":"RowBox[{\"Exists\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents the statement that there exists a value of StyleBox[\"x\", \"TI\"] for which StyleBox[\"expr\", \"TI\"] is True. \nRowBox[{\"Exists\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that there exists an StyleBox[\"x\", \"TI\"] satisfying the condition StyleBox[\"cond\", \"TI\"] for which StyleBox[\"expr\", \"TI\"] is True. \nRowBox[{\"Exists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that there exist values for all the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which StyleBox[\"expr\", \"TI\"] is True. ", + "Exit":"RowBox[{\"Exit\", \"[\", \"]\"}] terminates a StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel session. ", + "ExoplanetData":"RowBox[{\"ExoplanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the exoplanet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ExoplanetData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified exoplanet entities.\nRowBox[{\"ExoplanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Exp":"RowBox[{\"Exp\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the exponential of StyleBox[\"z\", \"TI\"]. ", + "Expand":"RowBox[{\"Expand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out products and positive integer powers in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Expand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] leaves unexpanded any parts of StyleBox[\"expr\", \"TI\"] that are free of the pattern StyleBox[\"patt\", \"TI\"].", + "ExpandAll":"RowBox[{\"ExpandAll\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out all products and integer powers in any part of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"ExpandAll\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] avoids expanding parts of StyleBox[\"expr\", \"TI\"] that do not contain terms matching the pattern StyleBox[\"patt\", \"TI\"]. ", + "ExpandDenominator":"RowBox[{\"ExpandDenominator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out products and powers that appear as denominators in StyleBox[\"expr\", \"TI\"]. ", + "ExpandFileName":"RowBox[{\"ExpandFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] textually expands StyleBox[\"name\", \"TI\"] to have the form of an absolute file name for your operating system.", + "ExpandNumerator":"RowBox[{\"ExpandNumerator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out products and powers that appear in the numerator of StyleBox[\"expr\", \"TI\"]. ", + "Expectation":"RowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"data\", \"TI\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution given by StyleBox[\"data\", \"TI\"].\nRowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Expectation\", \"[\", RowBox[{RowBox[{StyleBox[\"expr\", \"TI\"], \"\", StyleBox[\"pred\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the conditional expectation of StyleBox[\"expr\", \"TI\"] given StyleBox[\"pred\", \"TI\"].", + "ExpectedValue":"RowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the expected value of the pure function StyleBox[\"f\", \"TI\"] with respect to the values in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the expected value of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"x\", \"TI\"] with respect to the values of StyleBox[\"list\", \"TI\"].\nRowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] gives the expected value of the pure function StyleBox[\"f\", \"TI\"] with respect to the symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the expected value of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"x\", \"TI\"] with respect to the symbolic distribution StyleBox[\"dist\", \"TI\"].", + "ExpGammaDistribution":"RowBox[{\"ExpGammaDistribution\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents an exp-gamma distribution with shape parameter StyleBox[\"κ\", \"TR\"], scale parameter StyleBox[\"θ\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", + "ExpIntegralE":"RowBox[{\"ExpIntegralE\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the exponential integral function RowBox[{SubscriptBox[\"E\", \"n\"], \"(\", \"z\", \")\"}].", + "ExpIntegralEi":"RowBox[{\"ExpIntegralEi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the exponential integral function RowBox[{\"Ei\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "ExpirationDate":"ExpirationDate is an option for various functions that specifies when a persistent value should be treated as expired.", + "Exponent":"RowBox[{\"Exponent\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the maximum power with which StyleBox[\"form\", \"TI\"] appears in the expanded form of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Exponent\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] applies StyleBox[\"h\", \"TI\"] to the set of exponents with which StyleBox[\"form\", \"TI\"] appears in StyleBox[\"expr\", \"TI\"]. ", + "ExponentFunction":"ExponentFunction is an option for NumberForm and related functions that determines the exponent to use in printing approximate real numbers. ", + "ExponentialDistribution":"RowBox[{\"ExponentialDistribution\", \"[\", StyleBox[\"λ\", \"TR\"], \"]\"}] represents an exponential distribution with scale inversely proportional to parameter StyleBox[\"λ\", \"TR\"].", + "ExponentialFamily":"ExponentialFamily is an option for GeneralizedLinearModelFit that specifies the exponential family for the model.", + "ExponentialGeneratingFunction":"RowBox[{\"ExponentialGeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the exponential generating function in StyleBox[\"x\", \"TI\"] for the sequence whose StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term is given by the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"ExponentialGeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] gives the multidimensional exponential generating function in SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … whose SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … term is given by StyleBox[\"expr\", \"TI\"].", + "ExponentialMovingAverage":"RowBox[{\"ExponentialMovingAverage\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives the exponential moving average of StyleBox[\"list\", \"TI\"] with smoothing constant StyleBox[\"α\", \"TR\"].", + "ExponentialPowerDistribution":"RowBox[{\"ExponentialPowerDistribution\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents an exponential power distribution with shape parameter StyleBox[\"κ\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"ExponentialPowerDistribution\", \"[\", StyleBox[\"κ\", \"TR\"], \"]\"}] represents an exponential power distribution with location parameter 0 and scale parameter 1.", + "ExponentPosition":"ExponentPosition is an option for RadicalBox that specifies the placement of the index outside a radical sign.", + "ExponentStep":"ExponentStep is an option for NumberForm and related functions that determines in what steps exponents are taken to increase when scientific notation is used.", + "Export":"RowBox[{\"Export\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).\\!\\(\\*StyleBox[\\\"ext\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] exports data to a file, converting it to the format corresponding to the file extension StyleBox[\"ext\", \"TI\"]. \nRowBox[{\"Export\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] exports data in the specified format.\nRowBox[{\"Export\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"exprs\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] exports data by treating StyleBox[\"exprs\", \"TI\"] as elements specified by StyleBox[\"elems\", \"TI\"].", + "ExportAutoReplacements":"ExportAutoReplacements is an option for cells that specifies which replacement rules StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] automatically applies when exporting text.", + "ExportByteArray":"RowBox[{\"ExportByteArray\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a ByteArray object corresponding to StyleBox[\"expr\", \"TI\"] exported in the specified format. \nRowBox[{\"ExportByteArray\", \"[\", RowBox[{StyleBox[\"exprs\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] generates a ByteArray object by treating StyleBox[\"exprs\", \"TI\"] as elements specified by StyleBox[\"elems\", \"TI\"].", + "ExportForm":"RowBox[{\"ExportForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] specifies that StyleBox[\"expr\", \"TI\"] should be exported in the specified format in functions like CloudDeploy and in external results from APIFunction and FormFunction.\nRowBox[{\"ExportForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] specifies that when StyleBox[\"expr\", \"TI\"] is exported, it should be tagged as having the specified MIME type.", + "ExportString":"RowBox[{\"ExportString\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a string corresponding to StyleBox[\"expr\", \"TI\"] exported in the specified format. \nRowBox[{\"ExportString\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"Rules\\\"\",ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] gives explicit rules for different elements of the data to be exported. \nRowBox[{\"ExportString\", \"[\", RowBox[{StyleBox[\"exprs\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] generates a string by treating StyleBox[\"exprs\", \"TI\"] as elements specified by StyleBox[\"elems\", \"TI\"].", + "Expression":"Expression is a symbol that represents an ordinary StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression in Read and related functions. ", + "ExpressionCell":"RowBox[{\"ExpressionCell\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an expression cell that can appear in a StyleBox[\"Wolfram System\", \"RebrandingTerm\"] notebook.\nRowBox[{\"ExpressionCell\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an expression cell with the specified style.\nRowBox[{\"ExpressionCell\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an expression cell with multiple styles applied to it.", + "ExpToTrig":"RowBox[{\"ExpToTrig\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts exponentials in StyleBox[\"expr\", \"TI\"] to trigonometric functions. ", + "ExtendedGCD":"RowBox[{\"ExtendedGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the extended greatest common divisor of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Extension":"Extension is an option for various polynomial and algebraic functions that specifies generators for the algebraic number field to be used. ", + "ExtentElementFunction":"ExtentElementFunction is an option to DiscretePlot and DiscretePlot3D that gives a function to use to generate the primitives for rendering each extent element. ", + "ExtentMarkers":"ExtentMarkers is an option to DiscretePlot and DiscretePlot3D that specifies markers to draw at extent boundaries. ", + "ExtentSize":"ExtentSize is an option to DiscretePlot and DiscretePlot3D that specifies how far to extend out from each plot point. ", + "ExternalBundle":"RowBox[{\"ExternalBundle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[SubscriptBox[StyleBox[\"obj\", \"TI\"], \"1\"], \"TI\"]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a bundle of resources to be externally deployed as named URLs, functions, etc. \nRowBox[{\"ExternalBundle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"11\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a nested bundle of resources.", + "ExternalDataCharacterEncoding":"ExternalDataCharacterEncoding is a global option that specifies the character encoding used in reading and writing plain text data outside of StyleBox[\"the Wolfram System\", \"RebrandingTerm\"].", + "ExternalEvaluate":"RowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] evaluates the command StyleBox[\"cmd\", \"TI\"] in the external evaluator StyleBox[\"sys\", \"TI\"], returning an expression corresponding to the output.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"opts\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the options StyleBox[\"opts\", \"TI\"] for the external evaluator.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] evaluates StyleBox[\"cmd\", \"TI\"] using the external evaluator specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"session\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] evaluates StyleBox[\"cmd\", \"TI\"] in the specified running ExternalSessionObject.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{RowBox[{StyleBox[\"sys\", \"TI\"], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \",\", \"…\"}], \"]\"}] returns output converted to the specified type. \nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] evaluates the content of the specified File, URL or CloudObject.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] evaluates the command specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cmd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cmd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] evaluates the list of commands SubscriptBox[StyleBox[\"cmd\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ExternalEvaluate\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an operator form of ExternalEvaluate that can be applied to a command or object.", + "ExternalObject":"RowBox[{\"ExternalObject\", \"[\", \"…\", \"]\"}] represents an external object inside an ExternalSessionObject.", + "ExternalOptions":"ExternalOptions is an option for EmbedCode and related functions that gives options specific to the external environment or language used.", + "ExternalSessionObject":"RowBox[{\"ExternalSessionObject\", \"[\", \"…\", \"]\"}] represents an external session started by StartExternalSession for use with ExternalEvaluate.", + "ExternalSessions":"RowBox[{\"ExternalSessions\", \"[\", \"]\"}] gives the list of currently active external evaluator sessions.\nRowBox[{\"ExternalSessions\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the list of sessions associated with the system StyleBox[\"sys\", \"TI\"].", + "ExternalTypeSignature":"ExternalTypeSignature is an option for EmbedCode that gives rules specifying the mapping to external types in an embedded code.", + "Extract":"RowBox[{\"Extract\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] extracts the part of StyleBox[\"expr\", \"TI\"] at the position specified by StyleBox[\"pos\", \"TI\"]. \nRowBox[{\"Extract\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts a list of parts of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Extract\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] extracts parts of StyleBox[\"expr\", \"TI\"], wrapping each of them with head StyleBox[\"h\", \"TI\"] before evaluation. \nRowBox[{\"Extract\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents an operator form of Extract that can be applied to an expression.", + "ExtractArchive":"RowBox[{\"ExtractArchive\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] expands an archive StyleBox[\"file\", \"TI\"], saving its content into the current directory.\nRowBox[{\"ExtractArchive\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] saves the content of an archive StyleBox[\"file\", \"TI\"] into directory StyleBox[\"dir\", \"TI\"].\nRowBox[{\"ExtractArchive\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] extracts only files whose names match StyleBox[\"pattern\", \"TI\"].", + "ExtremeValueDistribution":"RowBox[{\"ExtremeValueDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents an extreme value distribution with location parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"ExtremeValueDistribution\", \"[\", \"]\"}] represents an extreme value distribution with location parameter 0 and scale parameter 1.", + "FaceForm":"RowBox[{\"FaceForm\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] is a graphics directive which specifies that faces of polygons and other filled graphics objects are to be drawn using the graphics directive or list of directives StyleBox[\"g\", \"TI\"]. \nRowBox[{\"FaceForm\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"gback\", \"TI\"]}], \"]\"}] specifies that the front faces of three-dimensional polygons should be drawn with directives StyleBox[\"g\", \"TI\"], and the backs with directives StyleBox[\"gback\", \"TI\"]. ", + "FaceGrids":"FaceGrids is an option for three-dimensional graphics functions that specifies grid lines to draw on the faces of the bounding box. ", + "FaceGridsStyle":"FaceGridsStyle is an option for 3D graphics functions that specifies how face grids should be rendered.", + "FacialFeatures":"RowBox[{\"FacialFeatures\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns a minimal summary of facial features for all detected faces in StyleBox[\"image\", \"TI\"].\nRowBox[{\"FacialFeatures\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"features\", \"TI\"]}], \"]\"}] returns the specified facial StyleBox[\"features\", \"TI\"].", + "Factor":"RowBox[{\"Factor\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] factors a polynomial over the integers. \nRowBox[{\"Factor\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] factors a polynomial modulo a prime StyleBox[\"p\", \"TI\"]. \nRowBox[{\"Factor\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Extension\", \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] factors a polynomial allowing coefficients that are rational combinations of the algebraic numbers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Factorial":"RowBox[{StyleBox[\"n\", \"TI\"], \"!\"}] gives the factorial of StyleBox[\"n\", \"TI\"]. ", + "Factorial2":"RowBox[{StyleBox[\"n\", \"TI\"], \"!!\"}] gives the double factorial of StyleBox[\"n\", \"TI\"]. ", + "FactorialMoment":"RowBox[{\"FactorialMoment\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] moment of the elements in the StyleBox[\"list\", \"TI\"].\nRowBox[{\"FactorialMoment\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] moment of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"FactorialMoment\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] factorial moment. ", + "FactorialMomentGeneratingFunction":"RowBox[{\"FactorialMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the factorial moment-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"FactorialMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the factorial moment-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", + "FactorialPower":"RowBox[{\"FactorialPower\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the factorial power SuperscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]]. \nRowBox[{\"FactorialPower\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] gives the step-StyleBox[\"h\", \"TI\"] factorial power SuperscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{\"(\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", \" \", StyleBox[\"h\", \"TI\"]}], \")\"}]].", + "FactorInteger":"RowBox[{\"FactorInteger\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the prime factors of the integer StyleBox[\"n\", \"TI\"], together with their exponents. \nRowBox[{\"FactorInteger\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] does partial factorization, pulling out at most StyleBox[\"k\", \"TI\"] distinct factors.", + "FactorList":"RowBox[{\"FactorList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list of the factors of a polynomial, together with their exponents. ", + "FactorSquareFree":"RowBox[{\"FactorSquareFree\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] pulls out any multiple factors in a polynomial. ", + "FactorSquareFreeList":"RowBox[{\"FactorSquareFreeList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list of square‐free factors of a polynomial, together with their exponents. ", + "FactorTerms":"RowBox[{\"FactorTerms\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] pulls out any overall numerical factor in StyleBox[\"poly\", \"TI\"]. \nRowBox[{\"FactorTerms\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pulls out any overall factor in StyleBox[\"poly\", \"TI\"] that does not depend on StyleBox[\"x\", \"TI\"]. \nRowBox[{\"FactorTerms\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pulls out any overall factor in StyleBox[\"poly\", \"TI\"] that does not depend on any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "FactorTermsList":"RowBox[{\"FactorTermsList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list in which the first element is the overall numerical factor in StyleBox[\"poly\", \"TI\"], and the second element is the polynomial with the overall factor removed.\nRowBox[{\"FactorTermsList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of factors of StyleBox[\"poly\", \"TI\"]. The first element in the list is the overall numerical factor. The second element is a factor that does not depend on any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. Subsequent elements are factors which depend on progressively more of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Failure":"RowBox[{\"Failure\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] represents a failure of a type indicated by StyleBox[\"tag\", \"TI\"], with details given by the association StyleBox[\"assoc\", \"TI\"].", + "FailureAction":"FailureAction is an option to Query and related functions that determines what should happen when a failure or message is generated.", + "FailureDistribution":"RowBox[{\"FailureDistribution\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the failure distribution for a system with events SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] having reliability distribution SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]] where the top event occurs when the Boolean expression StyleBox[\"bexpr\", \"TI\"] is True and event SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] has occurred when SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is True.", + "FailureQ":"RowBox[{\"FailureQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] has head Failure or is equal to $Failed or $Aborted.", + "False":"False is the symbol for the Boolean value false. ", + "FareySequence":"RowBox[{\"FareySequence\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] generates the Farey sequence of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"FareySequence\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] element of the Farey sequence of order StyleBox[\"n\", \"TI\"].", + "FARIMAProcess":"RowBox[{\"FARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents an autoregressive fractionally integrated moving-average process RowBox[{StyleBox[\"y\", \"TI\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}] such that its StyleBox[\"d\", \"TI\"]SuperscriptBox[\"\", \"th\"] difference is an RowBox[{RowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]], \",\", StyleBox[\"v\", \"TI\"]}]}]}]}], \"]\"}].\nRowBox[{\"FARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector autoregressive fractionally integrated moving-average process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector ARMAProcess.\nRowBox[{\"FARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector autoregressive fractionally integrated moving-average process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector ARMAProcess.", + "FeatureDistance":"RowBox[{\"FeatureDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"extractor\", \"TI\"]}], \"]\"}] gives the distance between SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]] in the feature space defined by StyleBox[\"extractor\", \"TI\"].\nRowBox[{\"FeatureDistance\", \"[\", StyleBox[\"extractor\", \"TI\"], \"]\"}] represents an operator form of FeatureDistance that can be applied to a pair of examples.", + "FeatureExtract":"RowBox[{\"FeatureExtract\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] extracts features for each of the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] using a feature extractor trained on all the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"extractor\", \"TI\"]}], \"]\"}] extracts features using the specified feature extractor method.\nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts features by applying the SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence.\nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{StyleBox[\"spec\", \"TI\"], \"\", StyleBox[\"ext\", \"TI\"]}]}], \"]\"}] uses the extractor methods specified by StyleBox[\"ext\", \"TI\"] on parts of StyleBox[\"examples\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses the extractor methods SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"i\", \"TI\"]] on parts of StyleBox[\"examples\", \"TI\"] specified by the SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "FeatureExtraction":"RowBox[{\"FeatureExtraction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"FeatureExtractorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] trained from the examples given.\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"extractor\", \"TI\"]}], \"]\"}] uses the specified feature extractor method.\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies the SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence to generate a feature extractor.\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{StyleBox[\"spec\", \"TI\"], \"\", StyleBox[\"ext\", \"TI\"]}]}], \"]\"}] uses the extractor methods specified by StyleBox[\"ext\", \"TI\"] on parts of StyleBox[\"examples\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses the extractor methods SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"i\", \"TI\"]] on parts of StyleBox[\"examples\", \"TI\"] specified by the SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"extractor\", \"TI\"], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] gives the feature extraction properties specified by StyleBox[\"props\", \"TI\"].", + "FeatureExtractor":"FeatureExtractor is an option for functions such as Classify that specifies how features should be extracted.", + "FeatureExtractorFunction":"RowBox[{\"FeatureExtractorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a feature extractor function generated by FeatureExtraction.", + "FeatureNames":"FeatureNames is an option for machine learning functions such as Classify or Predict that specifies names to use for elements of input data given.", + "FeatureNearest":"RowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the list of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest in a computed feature space.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the same result.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"prop\", \"TI\"]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] for the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] effectively gives RowBox[{\"{\", RowBox[{RowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] nearest SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"x\", \"TI\"].\nRowBox[{\"FeatureNearest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] generates a RowBox[{\"NearestFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"x\", \"TI\"].", + "FeatureSpacePlot":"RowBox[{\"FeatureSpacePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots features extracted from the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] as a scatter plot.", + "FeatureSpacePlot3D":"RowBox[{\"FeatureSpacePlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots features extracted from the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] as a scatter 3D plot.", + "FeatureTypes":"FeatureTypes is an option for machine learning functions such as Classify or Predict that specifies what feature types to assume for elements of input data given.", + "FeedbackLinearize":"RowBox[{\"FeedbackLinearize\", \"[\", StyleBox[\"asys\", \"TI\"], \"]\"}] input-output linearizes the AffineStateSpaceModel StyleBox[\"asys\", \"TI\"] by state transformation and feedback.\nRowBox[{\"FeedbackLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies the new states StyleBox[\"z\", \"TI\"] and the new control inputs StyleBox[\"v\", \"TI\"].\nRowBox[{\"FeedbackLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\".", + "FeedbackSector":"FeedbackSector is an option to NyquistPlot that specifies the sector limits of the nonlinearity in the feedback. ", + "FeedbackSectorStyle":"FeedbackSectorStyle is an option to NyquistPlot that specifies the style in which graphics of FeedbackSector should be drawn.", + "FeedbackType":"FeedbackType is an option for some control system functions that specifies the feedback type.", + "FetalGrowthData":"RowBox[{\"FetalGrowthData\", \"[\", StyleBox[\"age\", \"TI\"], \"]\"}] returns the values for all properties of fetal development for the specified age of the fetus.\nRowBox[{\"FetalGrowthData\", \"[\", RowBox[{StyleBox[\"age\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value for a property of fetal development for the specified age.\nRowBox[{\"FetalGrowthData\", \"[\", RowBox[{StyleBox[\"age\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the values for all properties of fetal development at the specified age and percentile.\nRowBox[{\"FetalGrowthData\", \"[\", RowBox[{StyleBox[\"age\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the value for a property at the specified age and percentile.", + "Fibonacci":"RowBox[{\"Fibonacci\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Fibonacci number SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"Fibonacci\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Fibonacci polynomial RowBox[{SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "Fibonorial":"RowBox[{\"Fibonorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the fibonorial SubscriptBox[RowBox[{StyleBox[\"n\", \"TI\"], \"!\"}], StyleBox[\"F\", \"TI\"]].", + "FieldCompletionFunction":"FieldCompletionFunction is an option for InputField that specifies a function to apply to the input field's contents to generate a list of completions.", + "FieldHint":"FieldHint is an option for InputField that specifies contents to display when the input field is empty.", + "FieldHintStyle":"FieldHintStyle is an option for InputField that specifies the style to use for displaying the field hint.", + "FieldMasked":"FieldMasked is an option to InputField that determines whether to mask user input.", + "FieldSize":"FieldSize is an option for InputField, PopupMenu, and related functions that specifies the size of the field allowed for input or contents. ", + "File":"RowBox[{\"File\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"path\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a symbolic representation of a location in the local file system. ", + "FileBaseName":"RowBox[{\"FileBaseName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the base name for a file without its extension.", + "FileByteCount":"RowBox[{\"FileByteCount\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] gives the number of bytes in a file. ", + "FileDate":"RowBox[{\"FileDate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the date and time at which a file was last modified. \nRowBox[{\"FileDate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives information on the specified type of date associated with a file.", + "FileExistsQ":"RowBox[{\"FileExistsQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives True if the file with the specified name exists, and gives False otherwise.", + "FileExtension":"RowBox[{\"FileExtension\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the file extension for a file name.", + "FileFormat":"RowBox[{\"FileFormat\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine what Import format could be used to import the file corresponding to \"\nStyleBox[\"name\", \"TI\"]\". ", + "FileHash":"RowBox[{\"FileHash\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an integer hash code for the contents of the specified file.\nRowBox[{\"FileHash\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an integer hash of the specified type.\nRowBox[{\"FileHash\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] gives an integer hash code for the specified range of bytes.\nRowBox[{\"FileHash\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a hash code in the specified format.", + "FileNameDepth":"RowBox[{\"FileNameDepth\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the number of path elements in the file name \"\nStyleBox[\"file\", \"TI\"]\".", + "FileNameDialogSettings":"FileNameDialogSettings is a global option that specifies settings for the StyleBox[\"Insert File Path\", \"DialogElementName\"] dialog box.", + "FileNameDrop":"RowBox[{\"FileNameDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] drops the first StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] drops the last StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] drops elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameDrop\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] drops the last path element in the file name \"\nStyleBox[\"name\", \"TI\"]\".", + "FileNameForms":"FileNameForms is an option that specifies the pattern for file names to be selected by a function.", + "FileNameJoin":"RowBox[{\"FileNameJoin\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] joins the SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] together into a file name suitable for your current operating system. ", + "FileNames":"RowBox[{\"FileNames\", \"[\", \"]\"}] lists all files in the current working directory. \nRowBox[{\"FileNames\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] lists all files in the current working directory whose names match the string pattern StyleBox[\"form\", \"TI\"]. \nRowBox[{\"FileNames\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] lists all files whose names match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FileNames\", \"[\", RowBox[{StyleBox[\"forms\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] lists files with names matching StyleBox[\"forms\", \"TI\"] in any of the directories SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FileNames\", \"[\", RowBox[{StyleBox[\"forms\", \"TI\"], \",\", StyleBox[\"dirs\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes files that are in subdirectories up to StyleBox[\"n\", \"TI\"] levels down. ", + "FileNameSetter":"RowBox[{\"FileNameSetter\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] represents a file name setter which displays as a StyleBox[\"Browse\", \"MenuName\"] button and when clicked brings up a system file opening dialog, starting from the location corresponding to StyleBox[\"name\", \"TI\"]. \nRowBox[{\"FileNameSetter\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}], \"]\"}] uses the dynamically updated current value of StyleBox[\"name\", \"TI\"], with the value of StyleBox[\"name\", \"TI\"] being reset if a different file is chosen.\nRowBox[{\"FileNameSetter\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"Save\\\"\",ShowStringCharacters->True]}], \"]\"}] brings up a file saving dialog.\nRowBox[{\"FileNameSetter\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"spec\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] looks for files of types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]] with names matching the file patterns SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"ij\", \"TI\"]]. ", + "FileNameSplit":"RowBox[{\"FileNameSplit\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] splits a file name into a list of parts.", + "FileNameTake":"RowBox[{\"FileNameTake\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the last path element in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the last StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in the file name \"\nStyleBox[\"name\", \"TI\"]\".", + "FilePrint":"RowBox[{\"FilePrint\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] prints out the raw textual contents of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints out the first StyleBox[\"n\", \"TI\"] raw textual lines of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] prints out the last StyleBox[\"n\", \"TI\"] raw textual lines of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] prints out lines StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"], \";;\", StyleBox[\"s\", \"TI\"]}]}], \"]\"}] prints out lines StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] of StyleBox[\"file\", \"TI\"] in steps of StyleBox[\"s\", \"TI\"].", + "FileSize":"RowBox[{\"FileSize\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] gives the size of a file as a quantity.", + "FileSystemMap":"RowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"]}], \"]\"}] gives an association whose keys are the names of files in StyleBox[\"root\", \"TI\"], and whose values are the results of applying StyleBox[\"f\", \"TI\"] to the full names of these files. \nRowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a nested association in which subdirectories down to level StyleBox[\"n\", \"TI\"] are represented by an association.\nRowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a nested association including files in subdirectories from level StyleBox[\"m\", \"TI\"] down through StyleBox[\"n\", \"TI\"].\nRowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", StyleBox[\"lev\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] combines levels to give a nested output association with StyleBox[\"r\", \"TI\"] levels.", + "FileSystemScan":"RowBox[{\"FileSystemScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"f\", \"TI\"] on all files contained in StyleBox[\"root\", \"TI\"].\nRowBox[{\"FileSystemScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] restricts the operation to directories at level StyleBox[\"n\", \"TI\"].", + "FileTemplate":"RowBox[{\"FileTemplate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields a TemplateObject expression that represents a file template to be applied using functions like TemplateApply.\nRowBox[{\"FileTemplate\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] uses RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], RowBox[{\"URL\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], or RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] as the specification for the file location.\nRowBox[{\"FileTemplate\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", + "FileTemplateApply":"RowBox[{\"FileTemplateApply\", \"[\", StyleBox[\"template\", \"TI\"], \"]\"}] applies a template, evaluating all template elements it contains, and then writes the result to a temporary file, whose name is returned.\nRowBox[{\"FileTemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] applies a template, using StyleBox[\"args\", \"TI\"] to fill its slots, and then writes the result to a temporary file.\nRowBox[{\"FileTemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] applies a template, writing the results to the file represented by StyleBox[\"output\", \"TI\"].\nRowBox[{\"FileTemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] applies a template, using StyleBox[\"args\", \"TI\"] to fill its slots, and then writes the result to the file represented by StyleBox[\"output\", \"TI\"].", + "FileType":"RowBox[{\"FileType\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the type of a file, typically File, Directory, or None. ", + "FilledCurve":"RowBox[{\"FilledCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a filled curve consisting of SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]] followed by SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]] etc. \nRowBox[{\"FilledCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a list of separate filled component curves SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", + "FilledCurveBoxOptions":"RowBox[{FilledCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for FilledCurveBox objects.", + "Filling":"Filling is an option for ListPlot, Plot, Plot3D, and related functions that specifies what filling to add under points, curves, and surfaces. ", + "FillingStyle":"FillingStyle is an option for ListPlot, Plot, Plot3D, and related functions that specifies the default style of filling to be used. ", + "FillingTransform":"RowBox[{\"FillingTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a version of StyleBox[\"image\", \"TI\"] with all extended minima filled.\nRowBox[{\"FillingTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] fills extended minima in regions where at least one corresponding element of marker is nonzero.\nRowBox[{\"FillingTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] fills only extended minima of depth StyleBox[\"h\", \"TI\"] or less.", + "FilterRules":"RowBox[{\"FilterRules\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] filters the list StyleBox[\"rules\", \"TI\"] by picking out only those rules whose left-hand sides match StyleBox[\"patt\", \"TI\"].\nRowBox[{\"FilterRules\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] picks out rules whose left-hand sides match any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "FinancialBond":"RowBox[{\"FinancialBond\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"]}], \"]\"}] gives the value of a financial bond instrument.\nRowBox[{\"FinancialBond\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] computes the specified property StyleBox[\"prop\", \"TI\"].", + "FinancialData":"RowBox[{\"FinancialData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the last known price or value for the financial entity specified by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"start\", \"TI\"]}], \"]\"}] gives a list of dates and daily closing values for \"StyleBox[\"name\", \"TI\"]\" from StyleBox[\"start\", \"TI\"] until the current date.\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a list of dates and daily closing values for dates from StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"], \",\", StyleBox[\"period\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a list of dates and prices for the specified periods lying between StyleBox[\"start\", \"TI\"] and StyleBox[\"end\", \"TI\"].\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the financial entity \"StyleBox[\"name\", \"TI\"]\". \nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of dates and values of a property for a sequence of dates or periods. ", + "FinancialDerivative":"RowBox[{\"FinancialDerivative\", \"[\", RowBox[{StyleBox[\"instrument\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"]}], \"]\"}] gives the value of the specified financial instrument.\nRowBox[{\"FinancialDerivative\", \"[\", RowBox[{StyleBox[\"instrument\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] computes the specified property StyleBox[\"prop\", \"TI\"].", + "FinancialIndicator":"RowBox[{\"FinancialIndicator\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"ind\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a financial indicator \"\nStyleBox[\"ind\", \"TI\"]\" with parameters SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", + "Find":"RowBox[{\"Find\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] finds the first line in an input stream that contains the specified string. \nRowBox[{\"Find\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the first line that contains any of the specified strings. ", + "FindArgMax":"RowBox[{\"FindArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] of a local maximum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] of a local maximum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of a local maximum of a function of several variables. \nRowBox[{\"FindArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position of a local maximum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", + "FindArgMin":"RowBox[{\"FindArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] of a local minimum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] of a local minimum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of a local minimum of a function of several variables. \nRowBox[{\"FindArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position of a local minimum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", + "FindChannels":"RowBox[{\"FindChannels\", \"[\", \"]\"}] gives a list of channels in your home area on the channel broker server.\nRowBox[{\"FindChannels\", \"[\", \"None\", \"]\"}] gives a list of your unnamed channels.\nRowBox[{\"FindChannels\", \"[\", \"All\", \"]\"}] gives a list of all channels owned by you.\nRowBox[{\"FindChannels\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives a list of channels in your home area whose names match the string pattern StyleBox[\"form\", \"TI\"].\nRowBox[{\"FindChannels\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"user, TI]:StyleBox[form\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of accessible channels in the home area of the specified user whose names match StyleBox[\"form\", \"TI\"].\nRowBox[{\"FindChannels\", \"[\", \"\/StyleBox[abspath, TI]\", \"]\"}] gives a list of channels whose names match the string pattern \"\/StyleBox[\"abspath\", \"TI\"]\".\nFindChannels[\"StyleBox[RowBox[{RowBox[{\"https\", \":\"}], \"\/\/\"}],AutoSpacing->False] StyleBox[\"…\", \"TR\"]\"] gives a list of channels whose names match the specified pattern representing a URI.\nRowBox[{\"FindChannels\", \"[\", \"Anonymous\", \"]\"}] gives a list of unnamed channels that you can access.", + "FindClique":"RowBox[{\"FindClique\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a largest clique in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a clique containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[RowBox[{\"{\", \"n\", \"}\"}], \"TI\"]}], \"]\"}] finds a clique containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a clique containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] cliques.\nRowBox[{\"FindClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds cliques that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindClusters":"RowBox[{\"FindClusters\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] partitions the StyleBox[SubscriptBox[StyleBox[\"e\", \"TI\"], \"i\"], \"TI\"] into clusters of similar elements. \nRowBox[{\"FindClusters\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns the StyleBox[SubscriptBox[\"v\", \"i\"], \"TI\"] corresponding to the StyleBox[SubscriptBox[StyleBox[\"e\", \"TI\"], \"i\"], \"TI\"] in each cluster. \nRowBox[{\"FindClusters\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the same result. \nRowBox[{\"FindClusters\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] returns the SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in each cluster.\nRowBox[{\"FindClusters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] partitions StyleBox[\"data\", \"TI\"] into at most StyleBox[\"n\", \"TI\"] clusters. ", + "FindCookies":"RowBox[{\"FindCookies\", \"[\", \"]\"}] gives a list of all cookies.\nRowBox[{\"FindCookies\", \"[\", StyleBox[\"domain\", \"TI\"], \"]\"}] gives a list of cookies associated with the specified domain.\nRowBox[{\"FindCookies\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives a list of cookies whose attributes match the specification in the association StyleBox[\"assoc\", \"TI\"].", + "FindCurvePath":"RowBox[{\"FindCurvePath\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an ordering of the RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] that corresponds to one or more smooth curves.", + "FindCycle":"RowBox[{\"FindCycle\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a cycle in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a cycle of length at most StyleBox[\"k\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}]}], \"]\"}] finds a cycle of length exactly StyleBox[\"k\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a cycle of length between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] cycles.\nRowBox[{\"FindCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds cycles that include the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindDevices":"RowBox[{\"FindDevices\", \"[\", \"]\"}] searches for available devices on your computer system.\nRowBox[{\"FindDevices\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives a list of devices in classes whose names match the string pattern StyleBox[\"form\", \"TI\"].\nRowBox[{\"FindDevices\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of devices in classes whose names match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindDevices\", \"[\", RowBox[{StyleBox[\"forms\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] devices.", + "FindDistribution":"RowBox[{\"FindDistribution\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] finds a simple functional form to fit the distribution of StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds up to StyleBox[\"n\", \"TI\"] best distributions.\nRowBox[{\"FindDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best distributions associated with property StyleBox[\"prop\", \"TI\"].\nRowBox[{\"FindDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best distributions associated with properties SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc.", + "FindDistributionParameters":"RowBox[{\"FindDistributionParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] finds the parameter estimates for the distribution StyleBox[\"dist\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindDistributionParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], ….", + "FindDivisions":"RowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a list of about StyleBox[\"n\", \"TI\"] \"nice\" numbers that divide the interval around SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] into equally spaced parts. \nRowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes the parts always have lengths that are integer multiples of StyleBox[\"dx\", \"TI\"]. \nRowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds successive subdivisions into about SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … parts. \nRowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses spacings that are forced to be multiples of SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", + "FindEdgeCover":"RowBox[{\"FindEdgeCover\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an edge cover of the graph StyleBox[\"g\", \"TI\"] with a minimum number of edges.\nRowBox[{\"FindEdgeCover\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindEdgeCut":"RowBox[{\"FindEdgeCut\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a smallest edge cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEdgeCut\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a smallest StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] edge cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEdgeCut\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindEdgeIndependentPaths":"RowBox[{\"FindEdgeIndependentPaths\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] edge-independent paths from vertex StyleBox[\"s\", \"TI\"] to vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEdgeIndependentPaths\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindEquationalProof":"RowBox[{\"FindEquationalProof\", \"[\", RowBox[{StyleBox[\"thm\", \"TI\"], \",\", StyleBox[\"axms\", \"TI\"]}], \"]\"}] tries to find a proof of the equational logic theorem StyleBox[\"thm\", \"TI\"] using the axioms StyleBox[\"axms\", \"TI\"].", + "FindEulerianCycle":"RowBox[{\"FindEulerianCycle\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an Eulerian cycle in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEulerianCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] Eulerian cycles.\nRowBox[{\"FindEulerianCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindExternalEvaluators":"RowBox[{\"FindExternalEvaluators\", \"[\", \"]\"}] finds installed external evaluators that can be used with ExternalEvaluate, returning a dataset of the results found.\nRowBox[{\"FindExternalEvaluators\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] finds only external evaluators for language or system StyleBox[\"sys\", \"TI\"].", + "FindFaces":"RowBox[{\"FindFaces\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] attempts to find human faces in StyleBox[\"image\", \"TI\"] and returns a list of bounding boxes.\nRowBox[{\"FindFaces\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns the specified property StyleBox[\"prop\", \"TI\"] for each detected face.\nRowBox[{\"FindFaces\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] finds faces that satisfy the criterion StyleBox[\"crit\", \"TI\"].", + "FindFile":"RowBox[{\"FindFile\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] finds the file with the specified name that would be loaded by RowBox[{\"Get\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] and related functions.", + "FindFit":"RowBox[{\"FindFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pars\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds numerical values of the parameters StyleBox[\"pars\", \"TI\"] that make StyleBox[\"expr\", \"TI\"] give a best fit to StyleBox[\"data\", \"TI\"] as a function of StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"FindFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds a best fit subject to the parameter constraints StyleBox[\"cons\", \"TI\"].", + "FindFormula":"RowBox[{\"FindFormula\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] finds a pure function that approximates StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] finds a symbolic function of the variable StyleBox[\"x\", \"TI\"] that approximates StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds up to StyleBox[\"n\", \"TI\"] functions that approximate StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best functions associated with property StyleBox[\"prop\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best functions associated with properties SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc.", + "FindFundamentalCycles":"RowBox[{\"FindFundamentalCycles\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds fundamental cycles of the graph StyleBox[\"g\", \"TI\"].", + "FindGeneratingFunction":"RowBox[{\"FindGeneratingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"0\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to find a simple generating function in StyleBox[\"x\", \"TI\"] whose StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] series coefficient is SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"FindGeneratingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"0\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], \"0\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to find a simple generating function whose SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] series coefficient is SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "FindGeoLocation":"RowBox[{\"FindGeoLocation\", \"[\", \"]\"}] attempts to find the current geo location of your computer.\nRowBox[{\"FindGeoLocation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"ip\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an estimate of the geo location associated with the IP address given.\nRowBox[{\"FindGeoLocation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to find the geo location associated with the street address given.\nRowBox[{\"FindGeoLocation\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the geo location associated with the specified entity.", + "FindGeometricTransform":"RowBox[{\"FindGeometricTransform\", \"[\", RowBox[{SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds a geometric transformation that aligns positions specified by SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]] with SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], returning the alignment error together with the transformation function.\nRowBox[{\"FindGeometricTransform\", \"[\", RowBox[{StyleBox[\"ref\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds geometric transformations that align each of the SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"i\", \"TI\"]] with StyleBox[\"ref\", \"TI\"]. \nRowBox[{\"FindGeometricTransform\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] finds geometric transformations that align each of the SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]].", + "FindGraphCommunities":"RowBox[{\"FindGraphCommunities\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds communities in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindGraphCommunities\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindGraphIsomorphism":"RowBox[{\"FindGraphIsomorphism\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds an isomorphism that maps the graph SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]] by renaming vertices.\nRowBox[{\"FindGraphIsomorphism\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] isomorphisms. \nRowBox[{\"FindGraphIsomorphism\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindGraphPartition":"RowBox[{\"FindGraphPartition\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a partition of vertices of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a partition of vertices into StyleBox[\"k\", \"TI\"] approximately equal-size parts.\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a partition of vertices into parts with sizes SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a partition of vertices into parts with approximate size proportions SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindHamiltonianCycle":"RowBox[{\"FindHamiltonianCycle\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a Hamiltonian cycle in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindHamiltonianCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] Hamiltonian cycles.\nRowBox[{\"FindHamiltonianCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindHamiltonianPath":"RowBox[{\"FindHamiltonianPath\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a Hamiltonian path in the graph StyleBox[\"g\", \"TI\"] with the smallest total length.\nRowBox[{\"FindHamiltonianPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a Hamiltonian path with the smallest total length from StyleBox[\"s\", \"TI\"] to StyleBox[\"t\", \"TI\"].", + "FindHiddenMarkovStates":"RowBox[{\"FindHiddenMarkovStates\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hmm\", \"TI\"]}], \"]\"}] finds the most likely hidden states of the HiddenMarkovProcess StyleBox[\"hmm\", \"TI\"] corresponding to the emissions StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindHiddenMarkovStates\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hmm\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] uses the given criterion StyleBox[\"crit\", \"TI\"] to find the hidden states.", + "FindIndependentEdgeSet":"RowBox[{\"FindIndependentEdgeSet\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an independent edge set of the graph StyleBox[\"g\", \"TI\"] with a maximum number of edges.\nRowBox[{\"FindIndependentEdgeSet\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindIndependentVertexSet":"RowBox[{\"FindIndependentVertexSet\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an independent vertex set of the graph StyleBox[\"g\", \"TI\"] with a maximum number of vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds an independent vertex set with at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds an independent vertex set with exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds an independent vertex set containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] independent vertex sets.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds independent sets that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindInstance":"RowBox[{\"FindInstance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds an instance of StyleBox[\"vars\", \"TI\"] that makes the statement StyleBox[\"expr\", \"TI\"] be True. \nRowBox[{\"FindInstance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds an instance over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Complexes, Reals, Integers, and Booleans. \nRowBox[{\"FindInstance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds StyleBox[\"n\", \"TI\"] instances. ", + "FindIntegerNullVector":"RowBox[{\"FindIntegerNullVector\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] finds a list of integers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] such that RowBox[{RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"2\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}], \"+\", \"⋯\", \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"\", \"0\"}]. \nRowBox[{\"FindIntegerNullVector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] finds a list of integers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] with RowBox[{RowBox[{\"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\"}], \"≤\", StyleBox[\"d\", \"TI\"]}] such that RowBox[{RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"2\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}], \"+\", \"⋯\", \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"\", \"0\"}]. ", + "FindKClan":"RowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-clan in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clan containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clan containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clan containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] StyleBox[\"k\", \"TI\"]-clans.\nRowBox[{\"FindKClan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds StyleBox[\"k\", \"TI\"]-clans that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindKClan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindKClique":"RowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-clique in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clique containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clique containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clique containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] StyleBox[\"k\", \"TI\"]-cliques.\nRowBox[{\"FindKClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds StyleBox[\"k\", \"TI\"]-cliques that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindKClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindKClub":"RowBox[{\"FindKClub\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-club in the graph StyleBox[\"g\", \"TI\"].", + "FindKPlex":"RowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-plex in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-plex containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-plex containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-plex containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] StyleBox[\"k\", \"TI\"]-plexes.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds StyleBox[\"k\", \"TI\"]-plexes that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindLibrary":"RowBox[{\"FindLibrary\", \"[\", StyleBox[\"lib\", \"TI\"], \"]\"}] finds a dynamic library that can be loaded by LibraryFunctionLoad.", + "FindLinearRecurrence":"RowBox[{\"FindLinearRecurrence\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds if possible the minimal linear recurrence that generates StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindLinearRecurrence\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] finds if possible the linear recurrence of maximum order StyleBox[\"d\", \"TI\"] that generates StyleBox[\"list\", \"TI\"].", + "FindList":"RowBox[{\"FindList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list of lines in the file that contain the specified string. \nRowBox[{\"FindList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of all lines that contain any of the specified strings. \nRowBox[{\"FindList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a list of lines containing the specified strings in any of the SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FindList\", \"[\", RowBox[{StyleBox[\"files\", \"TI\"], \",\", StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] lines found. ", + "FindMaximum":"RowBox[{\"FindMaximum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] searches for a local maximum in StyleBox[\"f\", \"TI\"], starting from an automatically selected point.\nRowBox[{\"FindMaximum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a local maximum in StyleBox[\"f\", \"TI\"], starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMaximum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local maximum in a function of several variables. \nRowBox[{\"FindMaximum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local maximum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMaximum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", + "FindMaximumFlow":"RowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the maximum flow between source vertex StyleBox[\"s\", \"TI\"] and target vertex StyleBox[\"t\", \"TI\"] in a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the maximum flow between vertex indices StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] in a graph with edge capacity matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the maximum flow between multi-sources SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], … and multi-targets SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], ….\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindMaxValue":"RowBox[{\"FindMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the value at a local maximum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the value at a local maximum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local maximum of a function of several variables. \nRowBox[{\"FindMaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local maximum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", + "FindMeshDefects":"RowBox[{\"FindMeshDefects\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] finds defects in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"FindMeshDefects\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds only the specified type of defects SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"FindMeshDefects\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"defects\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] formats the results according to StyleBox[\"format\", \"TI\"] specification.", + "FindMinimum":"RowBox[{\"FindMinimum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] searches for a local minimum in StyleBox[\"f\", \"TI\"], starting from an automatically selected point.\nRowBox[{\"FindMinimum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a local minimum in StyleBox[\"f\", \"TI\"], starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMinimum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local minimum in a function of several variables. \nRowBox[{\"FindMinimum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local minimum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMinimum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", + "FindMinimumCostFlow":"RowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the minimum cost flow in the graph StyleBox[\"g\", \"TI\"] with SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"2\", \"TR\"]], … vertex supplies or demands.\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the minimum cost maximum flow between source vertex StyleBox[\"s\", \"TI\"] and target vertex StyleBox[\"t\", \"TI\"] in a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] finds the minimum cost flow between source StyleBox[\"s\", \"TI\"] and target StyleBox[\"t\", \"TI\"], with the required flow StyleBox[\"d\", \"TI\"].\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds the minimum cost flow in a graph with cost matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindMinimumCut":"RowBox[{\"FindMinimumCut\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the minimum cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindMinimumCut\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindMinValue":"RowBox[{\"FindMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the value at a local minimum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the value at a local minimum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local minimum of a function of several variables. \nRowBox[{\"FindMinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local minimum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", + "FindPath":"RowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a path between vertex StyleBox[\"s\", \"TI\"] and vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a path of length at most StyleBox[\"k\", \"TI\"] between vertex StyleBox[\"s\", \"TI\"] and vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}]}], \"]\"}] finds a path of length exactly StyleBox[\"k\", \"TI\"].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a path of length between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] paths.\nRowBox[{\"FindPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindPeaks":"RowBox[{\"FindPeaks\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives positions and values of the detected peaks in StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] finds peaks that survive Gaussian blurring up to scale StyleBox[\"σ\", \"TR\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds peaks with minimum sharpness StyleBox[\"s\", \"TI\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds only peaks with values greater than StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"s\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"t\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses different scales for thresholding sharpness and value.", + "FindPermutation":"RowBox[{\"FindPermutation\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a permutation that produces StyleBox[\"expr\", \"TI\"] by permuting RowBox[{\"Sort\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}].\nRowBox[{\"FindPermutation\", \"[\", RowBox[{StyleBox[SubscriptBox[StyleBox[RowBox[{\"e\", StyleBox[\"xpr\", \"TI\"]}]], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[SubscriptBox[\"expr\", StyleBox[\"2\", \"TR\"]], \"TI\"]}], \"]\"}] gives a permutation that converts SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] for two expressions that differ only in the order of their arguments.", + "FindPostmanTour":"RowBox[{\"FindPostmanTour\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a Chinese postman tour in the graph StyleBox[\"g\", \"TI\"] of minimal length.\nRowBox[{\"FindPostmanTour\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] Chinese postman tours. \nRowBox[{\"FindPostmanTour\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "FindProcessParameters":"RowBox[{\"FindProcessParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"]}], \"]\"}] finds the parameter estimates for the process StyleBox[\"proc\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindProcessParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], … .", + "FindRepeat":"RowBox[{\"FindRepeat\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the minimal sublist or subarray that repeats to give StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] requires that the sublist be repeated at least StyleBox[\"n\", \"TI\"] times in StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] requires SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] to repeat at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] finds the minimal substring that repeats to give StyleBox[\"string\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] requires that the substring be repeated at least StyleBox[\"n\", \"TI\"] times.", + "FindRoot":"RowBox[{\"FindRoot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a numerical root of StyleBox[\"f\", \"TI\"], starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].\nRowBox[{\"FindRoot\", \"[\", RowBox[{RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a numerical solution to the equation RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}]. \nRowBox[{\"FindRoot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a simultaneous numerical root of all the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindRoot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a numerical solution to the simultaneous equations SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "FindSequenceFunction":"RowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] attempts to find a simple function that yields the sequence SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]] when given successive integer arguments.\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] attempts to find a simple function that yields SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] when given argument SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a function that yields SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] when given argument SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a function that yields SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] when given argument SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the function applied to StyleBox[\"n\", \"TI\"].", + "FindSettings":"FindSettings is a global option that specifies settings for the StyleBox[\"Find\", \"MenuName\"] dialog box.", + "FindShortestPath":"RowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the shortest path from source vertex StyleBox[\"s\", \"TI\"] to target vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", \"All\"}], \"]\"}] generates a RowBox[{\"ShortestPathFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", \"All\", \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a RowBox[{\"ShortestPathFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"s\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", \"All\", \",\", \"All\"}], \"]\"}] generates a RowBox[{\"ShortestPathFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to different StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "FindShortestTour":"RowBox[{\"FindShortestTour\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] attempts to find an ordering of the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] that minimizes the total distance on a tour that visits all the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] once.\nRowBox[{\"FindShortestTour\", \"[\", StyleBox[\"graph\", \"TI\"], \"]\"}] attempts to find an ordering of the vertices in StyleBox[\"graph\", \"TI\"] that minimizes the total length when visiting each vertex once.\nRowBox[{\"FindShortestTour\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds an ordering of the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] that minimizes the total distance on a path from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"FindShortestTour\", \"[\", RowBox[{StyleBox[\"graph\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds an ordering of the vertices that minimizes the total length on a path from StyleBox[\"s\", \"TI\"] to StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindShortestTour\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "FindSpanningTree":"RowBox[{\"FindSpanningTree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a spanning tree of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindSpanningTree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds a spanning tree of the connected component of StyleBox[\"g\", \"TI\"] that includes the vertex StyleBox[\"v\", \"TI\"]. \nRowBox[{\"FindSpanningTree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "FindSystemModelEquilibrium":"RowBox[{\"FindSystemModelEquilibrium\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] searches for an equilibrium to the model StyleBox[\"model\", \"TI\"].\nRowBox[{\"FindSystemModelEquilibrium\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] searches for an equilibrium, starting from the points RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"=\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]]}] and RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]]}].\nRowBox[{\"FindSystemModelEquilibrium\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] searches for an equilibrium, with variable SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] constrained to have the value SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] etc. ", + "FindTextualAnswer":"RowBox[{\"FindTextualAnswer\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"question\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the substring of StyleBox[\"text\", \"TI\"] that best appears to answer StyleBox[\"question\", \"TI\"].\nRowBox[{\"FindTextualAnswer\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"question\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of up to StyleBox[\"n\", \"TI\"] answers that appear most probable.\nRowBox[{\"FindTextualAnswer\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"question\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property for each answer.", + "FindThreshold":"RowBox[{\"FindThreshold\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds a global threshold value that partitions the intensity values in StyleBox[\"image\", \"TI\"] into two intervals.", + "FindTransientRepeat":"RowBox[{\"FindTransientRepeat\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a pair of lists RowBox[{\"{\", RowBox[{StyleBox[\"transient\", \"TI\"], \",\", StyleBox[\"repeat\", \"TI\"]}], \"}\"}] where the elements of StyleBox[\"repeat\", \"TI\"] occur successively at least StyleBox[\"n\", \"TI\"] times after the elements of the StyleBox[\"transient\", \"TI\"] part of StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindTransientRepeat\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a pair of strings RowBox[{\"{\", RowBox[{StyleBox[\"transient\", \"TI\"], \",\", StyleBox[\"repeat\", \"TI\"]}], \"}\"}].", + "FindVertexCover":"RowBox[{\"FindVertexCover\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a vertex cover of the graph StyleBox[\"g\", \"TI\"] with a minimum number of vertices.\nRowBox[{\"FindVertexCover\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "FindVertexCut":"RowBox[{\"FindVertexCut\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a smallest vertex cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindVertexCut\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a smallest StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] vertex cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindVertexCut\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "FindVertexIndependentPaths":"RowBox[{\"FindVertexIndependentPaths\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] vertex-independent paths from vertex StyleBox[\"s\", \"TI\"] to vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindVertexIndependentPaths\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "FinishDynamic":"RowBox[{\"FinishDynamic\", \"[\", \"]\"}] finishes updating and displaying all currently visible Dynamic objects. ", + "FiniteAbelianGroupCount":"RowBox[{\"FiniteAbelianGroupCount\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of finite Abelian groups of order StyleBox[\"n\", \"TI\"].", + "FiniteGroupCount":"RowBox[{\"FiniteGroupCount\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of finite groups of order StyleBox[\"n\", \"TI\"].", + "FiniteGroupData":"RowBox[{\"FiniteGroupData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the finite group specified by StyleBox[\"name\", \"TI\"].\nRowBox[{\"FiniteGroupData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of finite groups in the specified class.", + "First":"RowBox[{\"First\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the first element in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"First\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] gives the first element if it exists, or StyleBox[\"def\", \"TI\"] otherwise.", + "FirstCase":"RowBox[{\"FirstCase\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives the first SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] to match StyleBox[\"pattern\", \"TI\"], or RowBox[{\"Missing\", \"[\", StyleBox[\"\\\"NotFound\\\"\",ShowStringCharacters->True], \"]\"}] if none matching StyleBox[\"pattern\", \"TI\"] is found. \nRowBox[{\"FirstCase\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{StyleBox[\"pattern\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives the value of StyleBox[\"rhs\", \"TI\"] corresponding to the first SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] to match StyleBox[\"pattern\", \"TI\"].\nRowBox[{\"FirstCase\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if no element matching StyleBox[\"pattern\", \"TI\"] is found. \nRowBox[{\"FirstCase\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] finds only objects that appear on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"FirstCase\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of FirstCase that can be applied to an expression.", + "FirstPassageTimeDistribution":"RowBox[{\"FirstPassageTimeDistribution\", \"[\", RowBox[{StyleBox[\"mproc\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents the distribution of times for the Markov process StyleBox[\"mproc\", \"TI\"] to pass from the initial state to final states StyleBox[\"f\", \"TI\"] for the first time. ", + "FirstPosition":"RowBox[{\"FirstPosition\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives the position of the first element in StyleBox[\"expr\", \"TI\"] that matches StyleBox[\"pattern\", \"TI\"], or RowBox[{\"Missing\", \"[\", StyleBox[\"\\\"NotFound\\\"\",ShowStringCharacters->True], \"]\"}] if no such element is found.\nRowBox[{\"FirstPosition\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if no element matching StyleBox[\"pattern\", \"TI\"] is found.\nRowBox[{\"FirstPosition\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] finds only objects that appear on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"FirstPosition\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of FirstPosition that can be applied to an expression.", + "FischerGroupFi22":"RowBox[{\"FischerGroupFi22\", \"[\", \"]\"}] represents the sporadic simple Fischer group SubscriptBox[\"Fi\", \"22\"].", + "FischerGroupFi23":"RowBox[{\"FischerGroupFi23\", \"[\", \"]\"}] represents the sporadic simple Fischer group SubscriptBox[\"Fi\", \"23\"].", + "FischerGroupFi24Prime":"RowBox[{\"FischerGroupFi24Prime\", \"[\", \"]\"}] represents the sporadic simple Fischer group SubsuperscriptBox[\"Fi\", \"24\", \"′\"].", + "FisherHypergeometricDistribution":"RowBox[{\"FisherHypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"succ\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"tot\", \"TI\"]], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a Fisher noncentral hypergeometric distribution.", + "FisherRatioTest":"RowBox[{\"FisherRatioTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of StyleBox[\"data\", \"TI\"] is 1. \nRowBox[{\"FisherRatioTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"FisherRatioTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"FisherRatioTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "FisherZDistribution":"RowBox[{\"FisherZDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a Fisher StyleBox[\"z\", \"TI\"] distribution with StyleBox[\"n\", \"TI\"] numerator and StyleBox[\"m\", \"TI\"] denominator degrees of freedom.", + "Fit":"RowBox[{\"Fit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds a least‐squares fit to a list of data as a linear combination of the functions StyleBox[\"funs\", \"TI\"] of variables StyleBox[\"vars\", \"TI\"]. ", + "FittedModel":"RowBox[{\"FittedModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic fitted model obtained from functions like LinearModelFit.", + "FixedOrder":"RowBox[{\"FixedOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a grammar rules pattern object that represents a sequence of elements matching SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"], in the fixed order given.", + "FixedPoint":"RowBox[{\"FixedPoint\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] starts with StyleBox[\"expr\", \"TI\"], then applies StyleBox[\"f\", \"TI\"] repeatedly until the result no longer changes. ", + "FixedPointList":"RowBox[{\"FixedPointList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] generates a list giving the results of applying StyleBox[\"f\", \"TI\"] repeatedly, starting with StyleBox[\"expr\", \"TI\"], until the results no longer change. ", + "Flat":"Flat is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that all expressions involving nested functions StyleBox[\"f\", \"TI\"] should be flattened out. This property is accounted for in pattern matching. ", + "Flatten":"RowBox[{\"Flatten\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] flattens out nested lists. \nRowBox[{\"Flatten\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] flattens to level StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Flatten\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] flattens subexpressions with head StyleBox[\"h\", \"TI\"]. \nRowBox[{\"Flatten\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] flattens StyleBox[\"list\", \"TI\"] by combining all levels SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]] to make each level StyleBox[\"i\", \"TI\"] in the result. ", + "FlattenAt":"RowBox[{\"FlattenAt\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] flattens out a sublist that appears as the SuperscriptBox[StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]], StyleBox[\"th\", \"TR\"]] element of StyleBox[\"list\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"FlattenAt\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] flattens out the part of StyleBox[\"expr\", \"TI\"] at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"FlattenAt\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] flattens out parts of StyleBox[\"expr\", \"TI\"] at several positions. ", + "FlattenLayer":"RowBox[{\"FlattenLayer\", \"[\", \"]\"}] represents a net layer that flattens any input tensor into a vector.\nRowBox[{\"FlattenLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that flattens its input to level StyleBox[\"n\", \"TI\"].", + "FlatTopWindow":"RowBox[{\"FlatTopWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a exact flat top window function of StyleBox[\"x\", \"TI\"].", + "FlipView":"RowBox[{\"FlipView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents an object which flips between displaying SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] each time it is clicked.\nRowBox[{\"FlipView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] cyclically flips through successive SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FlipView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] be the object currently displayed.", + "Floor":"RowBox[{\"Floor\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the greatest integer less than or equal to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Floor\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the greatest multiple of StyleBox[\"a\", \"TI\"] less than or equal to StyleBox[\"x\", \"TI\"]. ", + "FlowPolynomial":"RowBox[{\"FlowPolynomial\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the flow polynomial of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FlowPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "Fold":"RowBox[{\"Fold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the last element of RowBox[{\"FoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}].\nRowBox[{\"Fold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] is equivalent to RowBox[{\"Fold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"First\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \",\", RowBox[{\"Rest\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]}], \"]\"}].\nRowBox[{\"Fold\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Fold that can be applied to expressions. ", + "FoldList":"RowBox[{\"FoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"FoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"FoldList\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of FoldList that can be applied to expressions. ", + "FoldPair":"RowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the last element of RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}].\nRowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] gives the last element of RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}].\nRowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}].", + "FoldPairList":"RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list of successive SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] obtained by applying StyleBox[\"f\", \"TI\"] to pairs of the form RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[RowBox[{\"i\", \"-\", StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], where at each step StyleBox[\"f\", \"TI\"] returns RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] gives the list of successive values of RowBox[{StyleBox[\"g\", \"TI\"], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \"]\"}].\nRowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}].", + "FollowRedirects":"FollowRedirects is an option for URLRead and related functions that specifies whether to follow HTTP redirects when retrieving a URL.", + "FontColor":"FontColor is an option for Style, Cell, and related constructs that specifies the default color in which to render text. ", + "FontFamily":"FontFamily is an option for Style and Cell that specifies the font family in which text should be rendered. ", + "FontPostScriptName":"FontPostScriptName is an option to StyleBox which changes the current font. A sample specification is RowBox[{\"FontPostScriptName\", \" \", \"->\", \" \", RowBox[{\"Times\", \"-\", \"Roman\"}]}]. The default value is Automatic.", + "FontProperties":"FontProperties specifies font properties.", + "FontSize":"FontSize is an option for Style and Cell that specifies the default size in printer's points of the font in which to render text. ", + "FontSlant":"FontSlant is an option for Style, Cell, and related constructs that specifies how slanted characters in text should be. ", + "FontSubstitutions":"FontSubstitutions is an option for Cell that gives a list of substitutions to try for font family names. ", + "FontTracking":"FontTracking is an option for Style and Cell that specifies how condensed or expanded you want the font in which text is rendered to be. ", + "FontVariations":"FontVariations is an option for Style, Cell, and related constructs that specifies what font variations should be used.", + "FontWeight":"FontWeight is an option for Style, Cell, and related constructs that specifies how heavy the characters in a font should be. ", + "For":"RowBox[{\"For\", \"[\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"incr\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] executes StyleBox[\"start\", \"TI\"], then repeatedly evaluates StyleBox[\"body\", \"TI\"] and StyleBox[\"incr\", \"TI\"] until StyleBox[\"test\", \"TI\"] fails to give True. ", + "ForAll":"RowBox[{\"ForAll\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents the statement that StyleBox[\"expr\", \"TI\"] is True for all values of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"ForAll\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that StyleBox[\"expr\", \"TI\"] is True for all StyleBox[\"x\", \"TI\"] satisfying the condition StyleBox[\"cond\", \"TI\"]. \nRowBox[{\"ForAll\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that StyleBox[\"expr\", \"TI\"] is True for all values of all the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\", FontSlant -> \"Italic\"]]. ", + "Format":"RowBox[{\"Format\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the formatted form of StyleBox[\"expr\", \"TI\"]. Assigning values to RowBox[{\"Format\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] defines print forms for expressions. \nRowBox[{\"Format\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a format for the specified form of output. ", + "FormatType":"FormatType is an option for output streams, graphics, and functions such as Text that specifies the default format type to use when outputting expressions. ", + "FormatTypeAutoConvert":"FormatTypeAutoConvert is an option for cells that specifies whether the contents of a cell are automatically converted into a different format when the style of that cell is changed.", + "FormatValues":"RowBox[{\"FormatValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all printing formats (values for RowBox[{\"Format\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", + "FormBox":"RowBox[{FormBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] is a low-level box construct which displays as StyleBox[\"boxes\", \"TI\"] but specifies that rules associated with StyleBox[\"form\", \"TI\"] should be used to interpret StyleBox[\"boxes\", \"TI\"] on input. ", + "FormBoxOptions":"FormBoxOptions is an option for cells that specifies settings for FormBox objects within the cell.", + "FormControl":"RowBox[{\"FormControl\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"struct\", \"TI\"]}], \"]\"}] represents an editable form in a notebook, with structure specified by StyleBox[\"struct\", \"TI\"] and current values specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"FormControl\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", StyleBox[\"struct\", \"TI\"]}], \"]\"}] represents a form in a notebook in which current values are given by the dynamically updated value of StyleBox[\"x\", \"TI\"].", + "FormFunction":"RowBox[{\"FormFunction\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active form that, when submitted, applies StyleBox[\"func\", \"TI\"] to the values obtained from the form specified by StyleBox[\"formspec\", \"TI\"].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active form with fields named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] interpreted as types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the label for the field named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the default for the field specified by SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormFunction\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that in the cloud, the result from applying StyleBox[\"func\", \"TI\"] should be returned in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a multipage form, in which the successive SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be functions that are applied to the values obtained so far.", + "FormLayoutFunction":"FormLayoutFunction is an option for FormObject and FormFunction that can be used to specify how to lay out a form.", + "FormObject":"RowBox[{\"FormObject\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a form with fields having names SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] that take data of type SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormObject\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the label for the field named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormObject\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses full specification SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] for a field, and SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"j\", \"TI\"]] as part of the layout of the form.", + "FormPage":"RowBox[{\"FormPage\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active page that takes input from a form and generates results on the same page by applying StyleBox[\"func\", \"TI\"] to the values obtained from the form whose structure is defined by StyleBox[\"formspec\", \"TI\"].\nRowBox[{\"FormPage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active form page with fields named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] interpreted as types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormPage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the label for the field named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormPage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the default for the field specified by SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormPage\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] lays out the page according to the layout specification StyleBox[\"form\", \"TI\"].\nRowBox[{\"FormPage\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"], \",\", RowBox[{StyleBox[\"initform\", \"TI\"], \"\", StyleBox[\"resform\", \"TI\"]}]}], \"]\"}] uses StyleBox[\"initform\", \"TI\"] as the initial layout specification and StyleBox[\"resform\", \"TI\"] as the layout specification for result pages.", + "FormTheme":"FormTheme is an option for FormObject and related functions that specifies an overall theme for a form and its elements.", + "FormulaData":"RowBox[{\"FormulaData\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives the equations for the formula StyleBox[\"name\", \"TI\"].\nRowBox[{\"FormulaData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts the specified values SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the variables SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]] into the equations for the formula.\nRowBox[{\"FormulaData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the formula StyleBox[\"name\", \"TI\"].", + "FormulaLookup":"RowBox[{\"FormulaLookup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the full names of formulas whose names are consistent with \"\nStyleBox[\"query\", \"TI\"]\".\nRowBox[{\"FormulaLookup\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] results.", + "FortranForm":"RowBox[{\"FortranForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a Fortran language version of StyleBox[\"expr\", \"TI\"]. ", + "Forward":"Forward is a symbol that represents the forward direction for purposes of motion and animation.", + "ForwardBackward":"ForwardBackward is a symbol that represents alternate forward and backward motion or animation.", + "Fourier":"RowBox[{\"Fourier\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the discrete Fourier transform of a list of complex numbers.\nRowBox[{\"Fourier\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the specified positions of the discrete Fourier transform. ", + "FourierCoefficient":"RowBox[{\"FourierCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] coefficient in the Fourier series expansion of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a multidimensional Fourier coefficient.", + "FourierCosCoefficient":"RowBox[{\"FourierCosCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] coefficient in the Fourier cosine series expansion of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierCosCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a multidimensional Fourier cosine coefficient.", + "FourierCosSeries":"RowBox[{\"FourierCosSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier cosine series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"].\nRowBox[{\"FourierCosSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier cosine series of StyleBox[\"expr\", \"TI\"].", + "FourierCosTransform":"RowBox[{\"FourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the symbolic Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"FourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. ", + "FourierDCT":"RowBox[{\"FourierDCT\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the Fourier discrete cosine transform of a list of real numbers.\nRowBox[{\"FourierDCT\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds the Fourier discrete cosine transform of type StyleBox[\"m\", \"TI\"].", + "FourierDCTFilter":"RowBox[{\"FourierDCTFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] reduces noise in StyleBox[\"image\", \"TI\"] by locally thresholding the discrete cosine transforms of overlapping subimages, using the hard threshold StyleBox[\"t\", \"TI\"].", + "FourierDCTMatrix":"RowBox[{\"FourierDCTMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete cosine transform matrix of type 2.\nRowBox[{\"FourierDCTMatrix\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete cosine transform matrix of type StyleBox[\"m\", \"TI\"].", + "FourierDST":"RowBox[{\"FourierDST\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the Fourier discrete sine transform of a list of real numbers.\nRowBox[{\"FourierDST\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds the Fourier discrete sine transform of type StyleBox[\"m\", \"TI\"].", + "FourierDSTMatrix":"RowBox[{\"FourierDSTMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete sine transform matrix of type 2.\nRowBox[{\"FourierDSTMatrix\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete sine transform matrix of type StyleBox[\"m\", \"TI\"].", + "FourierMatrix":"RowBox[{\"FourierMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Fourier matrix.", + "FourierParameters":"FourierParameters is an option to Fourier and related functions that specifies the conventions to use in computing Fourier transforms.", + "FourierSequenceTransform":"RowBox[{\"FourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the Fourier sequence transform of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier sequence transform. ", + "FourierSeries":"RowBox[{\"FourierSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"]. \nRowBox[{\"FourierSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier series.", + "FourierSinCoefficient":"RowBox[{\"FourierSinCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] coefficient in the Fourier sine series expansion of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierSinCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a multidimensional Fourier sine coefficientStyleBox[\".\", FontSlant -> \"Italic\"]", + "FourierSinSeries":"RowBox[{\"FourierSinSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier sine series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"].\nRowBox[{\"FourierSinSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier sine series of StyleBox[\"expr\", \"TI\"].", + "FourierSinTransform":"RowBox[{\"FourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the symbolic Fourier sine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"FourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier sine transform of StyleBox[\"expr\", \"TI\"]. ", + "FourierTransform":"RowBox[{\"FourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", \"ω\"}], \"]\"}] gives the symbolic Fourier transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"FourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[\"ω\", StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[\"ω\", StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier transform of StyleBox[\"expr\", \"TI\"]. ", + "FourierTrigSeries":"RowBox[{\"FourierTrigSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier trigonometric series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"].\nRowBox[{\"FourierTrigSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier trigonometric series of StyleBox[\"expr\", \"TI\"].", + "FractionalBrownianMotionProcess":"RowBox[{\"FractionalBrownianMotionProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] represents fractional Brownian motion process with drift StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and Hurst index StyleBox[\"h\", \"TI\"].\nRowBox[{\"FractionalBrownianMotionProcess\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] represents fractional Brownian motion process with drift 0, volatility 1, and Hurst index StyleBox[\"h\", \"TI\"].", + "FractionalGaussianNoiseProcess":"RowBox[{\"FractionalGaussianNoiseProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] represents a fractional Gaussian noise process with drift StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and Hurst index StyleBox[\"h\", \"TI\"].\nRowBox[{\"FractionalGaussianNoiseProcess\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] represents a fractional Gaussian noise process with drift 0, volatility 1, and Hurst index StyleBox[\"h\", \"TI\"].", + "FractionalPart":"RowBox[{\"FractionalPart\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the fractional part of StyleBox[\"x\", \"TI\"]. ", + "FractionBox":"RowBox[{FractionBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is a low-level formatting construct that represents FractionBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", + "FractionBoxOptions":"FractionBoxOptions is an option that specifies settings for FractionBox objects.", + "FractionLine":"FractionLine is an option for fractions that specifies the thickness of the line separating the numerator and denominator.", + "Frame":"Frame is an option for Graphics, Grid, and other constructs that specifies whether to include a frame. ", + "FrameBox":"RowBox[{FrameBox, \"[\", StyleBox[\"box\", \"TI\"], \"]\"}] is a low-level box construct that represents StyleBox[\"box\", \"TI\"] with a frame drawn around it. ", + "FrameBoxOptions":"FrameBoxOptions is an option that specifies default settings for FrameBox objects.", + "Framed":"RowBox[{\"Framed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays a framed version of StyleBox[\"expr\", \"TI\"]. ", + "FrameLabel":"FrameLabel is an option for Graphics, Manipulate, and related functions that specifies labels to be placed on the edges of a frame. ", + "FrameMargins":"FrameMargins is an option for objects that can be displayed with frames which specifies the absolute margins in printer's points to leave inside the frame. ", + "FrameRate":"FrameRate is an option to specify the number of frames per second. ", + "FrameStyle":"FrameStyle is an option for Graphics, Grid, and other constructs that specifies the style in which to draw frames.", + "FrameTicks":"FrameTicks is an option for 2D graphics functions that specifies tick marks for the edges of a frame. ", + "FrameTicksStyle":"FrameTicksStyle is an option for 2D graphics functions that specifies how frame ticks should be rendered.", + "FRatioDistribution":"RowBox[{\"FRatioDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents an F-ratio distribution with StyleBox[\"n\", \"TI\"] numerator and StyleBox[\"m\", \"TI\"] denominator degrees of freedom.", + "FrechetDistribution":"RowBox[{\"FrechetDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents the Fréchet distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"FrechetDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents the Fréchet distribution with shape parameter StyleBox[\"α\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", + "FreeQ":"RowBox[{\"FreeQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] yields True if no subexpression in StyleBox[\"expr\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and yields False otherwise. \nRowBox[{\"FreeQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] tests only those parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"FreeQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of FreeQ that can be applied to an expression.", + "FrenetSerretSystem":"RowBox[{\"FrenetSerretSystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the generalized curvatures and Frenet–Serret basis for the parametric curve RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}].\nRowBox[{\"FrenetSerretSystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", + "FrequencySamplingFilterKernel":"RowBox[{\"FrequencySamplingFilterKernel\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] creates a finite impulse response (FIR) filter kernel using a frequency sampling method from amplitude values SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FrequencySamplingFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] creates an FIR filter kernel of type StyleBox[\"m\", \"TI\"].", + "FresnelC":"RowBox[{\"FresnelC\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel integral RowBox[{\"C\", \"(\", \"z\", \")\"}]. ", + "FresnelF":"RowBox[{\"FresnelF\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel auxiliary function RowBox[{StyleBox[\"F\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "FresnelG":"RowBox[{\"FresnelG\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel auxiliary function RowBox[{StyleBox[\"G\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "FresnelS":"RowBox[{\"FresnelS\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel integral RowBox[{\"S\", \"(\", \"z\", \")\"}]. ", + "Friday":"Friday is a day of the week.", + "FrobeniusNumber":"RowBox[{\"FrobeniusNumber\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the Frobenius number of RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", + "FrobeniusSolve":"RowBox[{\"FrobeniusSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of all solutions of the Frobenius equation RowBox[{RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}], \"+\", \"…\", \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"=\", StyleBox[\"b\", \"TI\"]}].\nRowBox[{\"FrobeniusSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives at most StyleBox[\"m\", \"TI\"] solutions.", + "FromAbsoluteTime":"RowBox[{\"FromAbsoluteTime\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a date object corresponding to an absolute time specification as given by AbsoluteTime.", + "FromCharacterCode":"RowBox[{\"FromCharacterCode\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string consisting of the character with integer code StyleBox[\"n\", \"TI\"]. \nRowBox[{\"FromCharacterCode\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a string consisting of the sequence of characters with codes SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FromCharacterCode\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of strings. \nRowBox[{\"FromCharacterCode\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the specified character encoding. ", + "FromCoefficientRules":"RowBox[{\"FromCoefficientRules\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a polynomial from a list of rules for exponent vectors and coefficients. ", + "FromContinuedFraction":"RowBox[{\"FromContinuedFraction\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] reconstructs a number from the list of its continued fraction terms. ", + "FromDate":"RowBox[{\"FromDate\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] converts a date of the form RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}] to an absolute number of seconds since the beginning of January 1, 1900. ", + "FromDigits":"RowBox[{\"FromDigits\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] constructs an integer from the list of its decimal digits. \nRowBox[{\"FromDigits\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] takes the digits to be given in base StyleBox[\"b\", \"TI\"]. \nRowBox[{\"FromDigits\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"MixedRadix\", \"[\", StyleBox[\"blist\", \"TI\"], \"]\"}]}], \"]\"}] uses the mixed radix with list of bases StyleBox[\"blist\", \"TI\"]. \nRowBox[{\"FromDigits\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] constructs an integer from a string of digits.\nRowBox[{\"FromDigits\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"Roman\\\"\",ShowStringCharacters->True]}], \"]\"}] constructs an integer from Roman numerals.", + "FromDMS":"RowBox[{\"FromDMS\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] converts from degrees, minutes, and seconds to decimal degrees. \nRowBox[{\"FromDMS\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dms\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts from a DMS string to decimal degrees.\nRowBox[{\"FromDMS\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"latlon\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts from a latitude-longitude string to latitude and longitude in decimal degrees.", + "FromEntity":"RowBox[{\"FromEntity\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] returns a Wolfram Language object corresponding to an entity.", + "FromJulianDate":"RowBox[{\"FromJulianDate\", \"[\", StyleBox[\"jd\", \"TI\"], \"]\"}] gives a date object corresponding to the Julian date StyleBox[\"jd\", \"TI\"].\nRowBox[{\"FromJulianDate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"jd\", \"TI\"]}], \"]\"}] gives a date object corresponding to the specified Julian date variant.", + "FromLetterNumber":"RowBox[{\"FromLetterNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the lowercase letter at position StyleBox[\"n\", \"TI\"] in the English alphabet.\nRowBox[{\"FromLetterNumber\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"alpha\", \"TI\"]}], \"]\"}] gives the letter at position StyleBox[\"n\", \"TI\"] in the alphabet specified by StyleBox[\"alpha\", \"TI\"].", + "FromPolarCoordinates":"RowBox[{\"FromPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] Cartesian coordinates corresponding to the polar coordinates RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}]. \nRowBox[{\"FromPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], RowBox[{StyleBox[\"n\", \"TI\"], \"-\", StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}], \"]\"}] gives the coordinates corresponding to the hyperspherical coordinates RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], RowBox[{StyleBox[\"n\", \"TI\"], \"-\", StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}] ", + "FromRomanNumeral":"RowBox[{\"FromRomanNumeral\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the integer corresponding to the Roman numeral StyleBox[StyleBox[\"\\\"string\\\"\",ShowStringCharacters->True], \"TI\"]. ", + "FromSphericalCoordinates":"RowBox[{\"FromSphericalCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}] Cartesian coordinates corresponding to the spherical coordinates RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}].", + "FromUnixTime":"RowBox[{\"FromUnixTime\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a date object corresponding to a UnixTime specification.", + "Front":"Front is a symbol that represents the front of a graphic for purposes of placement and alignment.", + "FrontEndDynamicExpression":"FrontEndDynamicExpression is a global front end option that specifies an expression to be dynamically updated whenever the front end is running.", + "FrontEndEventActions":"FrontEndEventActions is an option for the notebook front end that gives a list of actions to perform when specified user-interface events occur. ", + "FrontEndExecute":"RowBox[{\"FrontEndExecute\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] sends StyleBox[\"expr\", \"TI\"] to be executed by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", + "FrontEndStackSize":"FrontEndStackSize is a global option that specifies the size of the stack used to store data in the front end (Macintosh only).", + "FrontEndToken":"RowBox[{\"FrontEndToken\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is an object that represents a front end command token, typically corresponding to a front end menu item, to be executed by FrontEndExecute. \nRowBox[{\"FrontEndToken\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a command that targets the specified notebook. \nRowBox[{\"FrontEndToken\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] represents a command with a parameter.", + "FrontEndTokenExecute":"RowBox[{\"FrontEndTokenExecute\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] executes the specified front end command token, typically corresponding to a front end menu item. ", + "Full":"Full is a setting used for certain options, typically indicating that a full range of values should be included. ", + "FullAxes":"RowBox[{\"FullAxes\", \"[\", StyleBox[\"graphics\", \"TI\"], \"]\"}] returns the axes options of a graphics object.", + "FullDefinition":"RowBox[{\"FullDefinition\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] prints as the definitions given for StyleBox[\"symbol\", \"TI\"], and all symbols on which these depend. ", + "FullForm":"RowBox[{\"FullForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the full form of StyleBox[\"expr\", \"TI\"], with no special syntax. ", + "FullGraphics":"RowBox[{\"FullGraphics\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] takes a graphics object, and generates a new one in which objects specified by graphics options are given as explicit lists of graphics primitives. ", + "FullInformationOutputRegulator":"RowBox[{\"FullInformationOutputRegulator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"rspec\", \"TI\"]}], \"]\"}] gives the full state information output regulator for StyleBox[\"sys\", \"TI\"] using specification StyleBox[\"rspec\", \"TI\"]. \nRowBox[{\"FullInformationOutputRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies the regulated outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] and the controlled inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]].", + "FullRegion":"RowBox[{\"FullRegion\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the full region SuperscriptBox[\"\", \"n\"].", + "FullSimplify":"RowBox[{\"FullSimplify\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] tries a wide range of transformations on StyleBox[\"expr\", \"TI\"] involving elementary and special functions and returns the simplest form it finds. \nRowBox[{\"FullSimplify\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] does simplification using assumptions. ", + "Function":"RowBox[{\"Function\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] or RowBox[{StyleBox[\"body\", \"TI\"], \"&\"}] is a pure (or \"anonymous\") function. The formal parameters are # (or #1), #2, etc. \nRowBox[{\"Function\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] is a pure function with a single formal parameter StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Function\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] is a pure function with a list of formal parameters. \nRowBox[{\"Function\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"attrs\", \"TI\"]}], \"]\"}] is a pure function that is treated as having attributes StyleBox[\"attrs\", \"TI\"] for purposes of evaluation.", + "FunctionDomain":"RowBox[{\"FunctionDomain\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] finds the largest domain of definition of the real function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"FunctionDomain\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] considers StyleBox[\"f\", \"TI\"] to be a function with arguments and values in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"FunctionDomain\", \"[\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the largest domain of definition of the mapping StyleBox[\"funs\", \"TI\"] of the variables StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"FunctionDomain\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the domain of StyleBox[\"funs\", \"TI\"] with the values of StyleBox[\"vars\", \"TI\"] restricted by constraints StyleBox[\"cons\", \"TI\"].", + "FunctionExpand":"RowBox[{\"FunctionExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] tries to expand out special and certain other functions in StyleBox[\"expr\", \"TI\"], when possible reducing compound arguments to simpler ones. \nRowBox[{\"FunctionExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] expands using assumptions. ", + "FunctionInterpolation":"RowBox[{\"FunctionInterpolation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with StyleBox[\"x\", \"TI\"] running from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] and constructs an InterpolatingFunction object which represents an approximate function corresponding to the result. \nRowBox[{\"FunctionInterpolation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] constructs an InterpolatingFunction object with several arguments. ", + "FunctionPeriod":"RowBox[{\"FunctionPeriod\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a period StyleBox[\"p\", \"TI\"] of the function StyleBox[\"f\", \"TI\"] over the reals such that RowBox[{RowBox[{\"f\", \"(\", RowBox[{\"x\", \"+\", \"p\"}], \")\"}], \"\", RowBox[{\"f\", \"(\", \"x\", \")\"}]}].\nRowBox[{\"FunctionPeriod\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] gives a period with StyleBox[\"x\", \"TI\"] restricted to the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"FunctionPeriod\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives periods RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] such that RowBox[{RowBox[{\"f\", \"(\", RowBox[{RowBox[{SubscriptBox[\"x\", \"1\"], \"+\", SubscriptBox[\"p\", \"1\"]}], \",\", RowBox[{SubscriptBox[\"x\", \"2\"], \"+\", SubscriptBox[\"p\", \"2\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}], \"\", RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", SubscriptBox[\"x\", \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}]}].", + "FunctionRange":"RowBox[{\"FunctionRange\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] finds the range of the real function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"x\", \"TI\"] returning the result in terms of StyleBox[\"y\", \"TI\"].\nRowBox[{\"FunctionRange\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] considers StyleBox[\"f\", \"TI\"] to be a function with arguments and values in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"FunctionRange\", \"[\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"xvars\", \"TI\"], \",\", StyleBox[\"yvars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the range of the mapping StyleBox[\"funs\", \"TI\"] of the variables StyleBox[\"xvars\", \"TI\"] returning the result in terms of StyleBox[\"yvars\", \"TI\"].\nRowBox[{\"FunctionRange\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"xvars\", \"TI\"], \",\", StyleBox[\"yvars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the range of the mapping StyleBox[\"funs\", \"TI\"] with the values of StyleBox[\"xvars\", \"TI\"] restricted by constraints StyleBox[\"cons\", \"TI\"].", + "FunctionSpace":"FunctionSpace is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations. ", + "FussellVeselyImportance":"RowBox[{\"FussellVeselyImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Fussell–Vesely importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"FussellVeselyImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Fussell–Vesely importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", + "GaborFilter":"RowBox[{\"GaborFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by convolving with a Gabor kernel of pixel radius StyleBox[\"r\", \"TI\"] and wave vector StyleBox[\"k\", \"TI\"].\nRowBox[{\"GaborFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] uses a Gabor kernel with phase shift StyleBox[\"ϕ\", \"TR\"].\nRowBox[{RowBox[{\"GaborFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] uses a Gabor kernel with radius StyleBox[RowBox[{\"r\", \" \"}], \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].", + "GaborMatrix":"RowBox[{\"GaborMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a matrix that corresponds to the real part of a Gabor kernel of radius StyleBox[\"r\", \"TI\"] and wave vector StyleBox[\"k\", \"TI\"].\nRowBox[{\"GaborMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] uses phase shift StyleBox[\"ϕ\", \"TR\"].\nRowBox[{\"GaborMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses the specified standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaborMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array corresponding to a Gabor kernel with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", + "GaborWavelet":"RowBox[{\"GaborWavelet\", \"[\", \"]\"}] represents a Gabor wavelet of frequency 6.\nRowBox[{\"GaborWavelet\", \"[\", StyleBox[\"w\", \"TI\"], \"]\"}] represents a Gabor wavelet of frequency StyleBox[\"w\", \"TI\"].", + "GainMargins":"RowBox[{\"GainMargins\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the gain margins of the linear time-invariant system StyleBox[\"lsys\", \"TI\"].", + "GainPhaseMargins":"RowBox[{\"GainPhaseMargins\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the gain and phase margins of the linear time-invariant system StyleBox[\"lsys\", \"TI\"].", + "GalaxyData":"RowBox[{\"GalaxyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the galaxy StyleBox[\"entity\", \"TI\"].\nRowBox[{\"GalaxyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified galaxy entities.\nRowBox[{\"GalaxyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "GalleryView":"RowBox[{\"GalleryView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] are displayed in a browsable gallery layout.\nRowBox[{\"GalleryView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses each of the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] to define the display of an item in the gallery.", + "Gamma":"RowBox[{\"Gamma\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] is the Euler gamma function RowBox[{\"Γ\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"Gamma\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the incomplete gamma function RowBox[{\"Γ\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \")\"}]. \nRowBox[{\"Gamma\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] is the generalized incomplete gamma function RowBox[{RowBox[{\"Γ\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"0\"]}], \")\"}], \"-\", RowBox[{\"Γ\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"1\"]}], \")\"}]}]. ", + "GammaDistribution":"RowBox[{\"GammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a gamma distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"GammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a generalized gamma distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"γ\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", + "GammaRegularized":"RowBox[{\"GammaRegularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized incomplete gamma function RowBox[{\"Q\", \"(\", RowBox[{\"a\", \",\", \"z\"}], \")\"}]. ", + "GapPenalty":"GapPenalty is an option for SequenceAlignment and related functions that gives the additional cost associated with each gap corresponding to a run of insertions or deletions.", + "GARCHProcess":"RowBox[{\"GARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a generalized autoregressive conditionally heteroscedastic process of orders StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"], driven by a standard white noise.\nRowBox[{\"GARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents a GARCH process with initial data StyleBox[\"init\", \"TI\"].", + "GatedRecurrentLayer":"RowBox[{\"GatedRecurrentLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable recurrent layer that takes a sequence of vectors and produces a sequence of vectors each of size StyleBox[\"n\", \"TI\"].\nRowBox[{\"GatedRecurrentLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial weights and other parameters. ", + "Gather":"RowBox[{\"Gather\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gathers the elements of StyleBox[\"list\", \"TI\"] into sublists of identical elements.\nRowBox[{\"Gather\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] applies StyleBox[\"test\", \"TI\"] to pairs of elements to determine if they should be considered identical.", + "GatherBy":"RowBox[{\"GatherBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gathers into sublists each set of elements in StyleBox[\"list\", \"TI\"] that gives the same value when StyleBox[\"f\", \"TI\"] is applied.\nRowBox[{\"GatherBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gathers StyleBox[\"list\", \"TI\"] into nested sublists using SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"]. ", + "GaugeFaceElementFunction":"GaugeFaceElementFunction is an option for gauge functions that gives a function to use to generate the primitives for rendering the gauge face.", + "GaugeFaceStyle":"GaugeFaceStyle is an option for gauge functions that specifies the style in which the face is to be drawn.", + "GaugeFrameElementFunction":"GaugeFrameElementFunction is an option for gauge functions that gives a function to generate the primitives for rendering the gauge frame.", + "GaugeFrameSize":"GaugeFrameSize is an option for gauge functions that controls the size of the frame around the gauge.", + "GaugeFrameStyle":"GaugeFrameStyle is an option for gauge functions that specifies the style in which the frame is to be drawn.", + "GaugeLabels":"GaugeLabels is an option for gauge functions that specifies labels to be placed on the gauge.", + "GaugeMarkers":"GaugeMarkers is an option for gauge functions that specifies what markers to draw to mark the values.", + "GaugeStyle":"GaugeStyle is an option for gauge functions that specifies styles in which the markers are to be drawn.", + "GaussianFilter":"RowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by convolving with a Gaussian kernel of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] convolves StyleBox[\"data\", \"TI\"] with a kernel formed from the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] derivatives of the discrete Gaussian.\nRowBox[{RowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] uses a Gaussian kernel with radius StyleBox[\"r\", \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in data.", + "GaussianIntegers":"GaussianIntegers is an option for FactorInteger, PrimeQ, Factor, and related functions that specifies whether factorization should be done over Gaussian integers. ", + "GaussianMatrix":"RowBox[{\"GaussianMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix that corresponds to a Gaussian kernel of radius StyleBox[\"r\", \"TI\"]. \nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \"]\"}] gives a matrix corresponding to a Gaussian kernel with radius StyleBox[\"r\", \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a matrix formed from the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative of the Gaussian with respect to rows and the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative with respect to columns.\nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a matrix formed from the sums of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]] derivatives.\nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array corresponding to a Gaussian kernel with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", + "GaussianOrthogonalMatrixDistribution":"RowBox[{\"GaussianOrthogonalMatrixDistribution\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Gaussian orthogonal matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianOrthogonalMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Gaussian orthogonal matrix distribution with unit scale parameter.", + "GaussianSymplecticMatrixDistribution":"RowBox[{\"GaussianSymplecticMatrixDistribution\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Gaussian symplectic matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"], \",\", StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"]}], \"}\"}] over the field of complex numbers and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianSymplecticMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Gaussian symplectic matrix distribution with unit scale parameter.", + "GaussianUnitaryMatrixDistribution":"RowBox[{\"GaussianUnitaryMatrixDistribution\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Gaussian unitary matrix distribution with matrix dimensions RowBox[{\"{\", StyleBox[RowBox[{\"n\", \",\", \"n\"}], \"TI\"], \"}\"}] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianUnitaryMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Gaussian unitary matrix distribution with unit scale parameter.", + "GaussianWindow":"RowBox[{\"GaussianWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Gaussian window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"GaussianWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] uses standard deviation StyleBox[\"σ\", \"TR\"].", + "GCD":"RowBox[{\"GCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the greatest common divisor of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "GegenbauerC":"RowBox[{\"GegenbauerC\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Gegenbauer polynomial RowBox[{SubsuperscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. \nRowBox[{\"GegenbauerC\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the renormalized form RowBox[{UnderscriptBox[\"lim\", RowBox[{StyleBox[\"m\", \"TI\"], \"\", \"0\"}], LimitsPositioning -> True], RowBox[{RowBox[{SubsuperscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}], \"\/\", StyleBox[\"m\", \"TI\"]}]}]. ", + "General":"General is a symbol to which general system messages are attached. ", + "GeneralizedLinearModelFit":"RowBox[{\"GeneralizedLinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a generalized linear model of the form RowBox[{SuperscriptBox[StyleBox[\"g\", \"TI\"], RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}], StyleBox[\")\", \"TR\"]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, ….\nRowBox[{\"GeneralizedLinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a generalized linear model of the form RowBox[{SuperscriptBox[StyleBox[\"g\", \"TI\"], RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}], StyleBox[\")\", \"TR\"]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"GeneralizedLinearModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a generalized linear model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", + "GenerateAsymmetricKeyPair":"RowBox[{\"GenerateAsymmetricKeyPair\", \"[\", \"]\"}] randomly generates a PrivateKey and corresponding PublicKey object for use with public-key cryptographic functions.\nRowBox[{\"GenerateAsymmetricKeyPair\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] randomly generates private and public keys using the specified options.", + "GenerateConditions":"GenerateConditions is an option for Integrate, Sum, and similar functions that specifies whether explicit conditions on parameters should be generated in the result.", + "GeneratedCell":"GeneratedCell is an option for Cell that indicates whether the cell was generated from the kernel. ", + "GeneratedDocumentBinding":"GeneratedDocumentBinding is an option for supplying parameters to a DocumentGenerator during manual evaluation.", + "GenerateDocument":"RowBox[{\"GenerateDocument\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] generates a document by evaluating all template elements in the notebook StyleBox[\"nb\", \"TI\"].\nRowBox[{\"GenerateDocument\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] generates a document using StyleBox[\"args\", \"TI\"] to fill template slots.\nRowBox[{\"GenerateDocument\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] writes the generated document in the output file represented by StyleBox[\"output\", \"TI\"].\nRowBox[{\"GenerateDocument\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] uses StyleBox[\"args\", \"TI\"] to fill template slots and puts the result in StyleBox[\"output\", \"TI\"].", + "GeneratedParameters":"GeneratedParameters is an option that specifies how parameters generated to represent the results of various symbolic operations should be named. ", + "GeneratedQuantityMagnitudes":"GeneratedQuantityMagnitudes is an option that specifies how quantities generated to represent the quantity multiplier results in NondimensionalizationTransform should be named.", + "GenerateHTTPResponse":"RowBox[{\"GenerateHTTPResponse\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the HTTPResponse object that is generated when a cloud object containing StyleBox[\"expr\", \"TI\"] is requested on the web.\nRowBox[{\"GenerateHTTPResponse\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"req\", \"TI\"]}], \"]\"}] gives the response for the HTTP request specified by StyleBox[\"req\", \"TI\"].", + "GenerateSecuredAuthenticationKey":"RowBox[{\"GenerateSecuredAuthenticationKey\", \"[\", \"]\"}] generates a new anonymous SecuredAuthenticationKey owned by the current user ID.\nRowBox[{\"GenerateSecuredAuthenticationKey\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a new SecuredAuthenticationKey with the specified name owned by the current user ID.\nRowBox[{\"GenerateSecuredAuthenticationKey\", \"[\", RowBox[{\"SecuredAuthenticationKey\", \"[\", \"...\", \"]\"}], \"]\"}] generates a new set of credentials for an existing SecuredAuthenticationKey.", + "GenerateSymmetricKey":"RowBox[{\"GenerateSymmetricKey\", \"[\", \"]\"}] randomly generates a SymmetricKey object suitable for use with cryptographic functions.\nRowBox[{\"GenerateSymmetricKey\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a SymmetricKey object from the password string given.\nRowBox[{\"GenerateSymmetricKey\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] randomly generates a symmetric key using the specified options.", + "GeneratingFunction":"RowBox[{\"GeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the generating function in StyleBox[\"x\", \"TI\"] for the sequence whose StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] series coefficient is given by the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"GeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional generating function in SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] whose SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] coefficient is given by StyleBox[\"expr\", \"TI\"].", + "GeneratorDescription":"GeneratorDescription is an option for providing a textual description for a DocumentGenerator.", + "GeneratorHistoryLength":"GeneratorHistoryLength is an option for document generators controlling the number of runs archived in the cloud.", + "GeneratorOutputType":"GeneratorOutputType is an option controlling the file format of documents produced by a DocumentGenerator.", + "Generic":"Generic is a setting for the Mode option of Solve and related functions.", + "GenericCylindricalDecomposition":"RowBox[{\"GenericCylindricalDecomposition\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the full-dimensional part of the decomposition of the region represented by the inequalities StyleBox[\"ineqs\", \"TI\"] into cylindrical parts whose directions correspond to the successive SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], together with any hypersurfaces containing the rest of the region.", + "GenomeData":"RowBox[{\"GenomeData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gene\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the DNA sequence for the specified gene on the reference human genome.\nRowBox[{\"GenomeData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gene\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the human gene StyleBox[\"gene\", \"TI\"].\nRowBox[{\"GenomeData\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"chr\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \"]\"}] gives the sequence from positions SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] on chromosome StyleBox[\"chr\", \"TI\"] in the reference human genome.", + "GenomeLookup":"RowBox[{\"GenomeLookup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"seq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns the positions of exact matches for the DNA sequence StyleBox[\"seq\", \"TI\"] on the reference human genome.\nRowBox[{\"GenomeLookup\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"seq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] matches.", + "GeoAntipode":"RowBox[{\"GeoAntipode\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the antipodal position of location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoAntipode\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the antipodal primitive of the geo primitive StyleBox[\"g\", \"TI\"].", + "GeoArea":"RowBox[{\"GeoArea\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the area of the geo region StyleBox[\"g\", \"TI\"].", + "GeoBackground":"GeoBackground is an option that specifies the background style of a GeoGraphics object.", + "GeoBoundingBox":"RowBox[{GeoBoundingBox, \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the geo positions that define the bounding rectangle enclosing the geo region StyleBox[\"g\", \"TI\"].\nRowBox[{GeoBoundingBox, \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the region on all sides by an amount StyleBox[\"δ\", \"TR\"].\nRowBox[{GeoBoundingBox, \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads by a fractional amount StyleBox[\"s\", \"TI\"].", + "GeoBounds":"RowBox[{\"GeoBounds\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the ranges of latitudes and longitudes in the geo region StyleBox[\"g\", \"TI\"].\nRowBox[{\"GeoBounds\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads ranges of latitudes and longitudes by RowBox[{\"±\", StyleBox[\"δ\", \"TR\"]}].\nRowBox[{\"GeoBounds\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads range of latitudes and longitudes by a scaled amount StyleBox[\"s\", \"TI\"].", + "GeoBoundsRegion":"RowBox[{\"GeoBoundsRegion\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}], \"]\"}] is a two-dimensional GeoGraphics primitive that represents a geo region bounded by parallels SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"min\", \"TI\"]], SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"max\", \"TI\"]] and meridians SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"min\", \"TI\"]], SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"max\", \"TI\"]] on the surface of the Earth.\nRowBox[{\"GeoBoundsRegion\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] represents the latitude-longitude bounding box of the geo region StyleBox[\"g\", \"TI\"].\nRowBox[{\"GeoBoundsRegion\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the ranges of latitudes and longitudes by RowBox[{\"±\", StyleBox[\"δ\", \"TR\"]}].", + "GeoBubbleChart":"RowBox[{\"GeoBubbleChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a geo bubble chart with bubbles centered at the geographic regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]] with sizes SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoBubbleChart\", \"[\", RowBox[{StyleBox[\"regions\", \"TI\"], \"\", StyleBox[\"values\", \"TI\"]}], \"]\"}] uses a collection of regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"regions\", \"TI\"] with corresponding sizes SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"values\", \"TI\"].\nRowBox[{\"GeoBubbleChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoBubbleChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", + "GeoCenter":"GeoCenter is an option for GeoGraphics that specifies the coordinates of the point that should appear at the geographic center of the final map.", + "GeoCircle":"RowBox[{\"GeoCircle\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] is a two-dimensional GeoGraphics primitive that represents a circle of radius StyleBox[\"r\", \"TI\"] centered at the location StyleBox[\"loc\", \"TI\"] on the surface of the Earth.\nRowBox[{\"GeoCircle\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a sector of a circle from bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]] to bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "GeodesicClosing":"RowBox[{\"GeodesicClosing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the geodesic closing of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"GeodesicClosing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the geodesic closing with respect to a range StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"GeodesicClosing\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies geodesic closing to an array of data.", + "GeodesicDilation":"RowBox[{\"GeodesicDilation\", \"[\", RowBox[{StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"mask\", \"TI\"]}], \"]\"}] gives the fixed point of the geodesic dilation of the StyleBox[\"marker\", \"TI\"] constrained by the StyleBox[\"mask\", \"TI\"].", + "GeodesicErosion":"RowBox[{\"GeodesicErosion\", \"[\", RowBox[{StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"mask\", \"TI\"]}], \"]\"}] gives the fixed point of the geodesic erosion of the StyleBox[\"marker\", \"TI\"] constrained by the StyleBox[\"mask\", \"TI\"].", + "GeodesicOpening":"RowBox[{\"GeodesicOpening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the geodesic opening of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"GeodesicOpening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the geodesic opening with respect to a range StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"GeodesicOpening\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies geodesic opening to an array of data.", + "GeoDestination":"RowBox[{\"GeoDestination\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the end position of the geodesic of length StyleBox[\"d\", \"TI\"] starting from StyleBox[\"loc\", \"TI\"] with azimuthal direction StyleBox[\"α\", \"TR\"].", + "GeodesyData":"RowBox[{\"GeodesyData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for a named geodetic datum or reference ellipsoid.\nRowBox[{\"GeodesyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the property for the ellipsoid with semimajor axis StyleBox[\"a\", \"TI\"] and semiminor axis StyleBox[\"b\", \"TI\"].\nRowBox[{\"GeodesyData\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"coords\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the value of the property at the specified coordinates.", + "GeoDirection":"RowBox[{\"GeoDirection\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the azimuthal direction from one latitude-longitude position on the Earth to another.\nRowBox[{\"GeoDirection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the azimuthal direction between locations specified by position objects or geographic entities.", + "GeoDisk":"RowBox[{RowBox[{\"GeoDisk\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}], \" \"}] is a two-dimensional GeoGraphics primitive that represents a filled disk of radius StyleBox[\"r\", \"TI\"] centered at the location StyleBox[\"loc\", \"TI\"] on the surface of the Earth.\nRowBox[{\"GeoDisk\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a sector of a disk from bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]] to bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "GeoDisplacement":"RowBox[{\"GeoDisplacement\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \"]\"}] represents a geodesic displacement of length StyleBox[\"dist\", \"TI\"] and initial bearing StyleBox[\"α\", \"TR\"] from a geo location.\nRowBox[{\"GeoDisplacement\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a displacement of length StyleBox[\"dist\", \"TI\"] and initial bearing StyleBox[\"α\", \"TR\"] along a path of type StyleBox[\"pathtype\", \"TI\"].\nRowBox[{\"GeoDisplacement\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] returns the displacement needed to reach SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]] from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] along a path of type StyleBox[\"pathtype\", \"TI\"].", + "GeoDistance":"RowBox[{\"GeoDistance\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the geodesic distance between latitude-longitude positions on the Earth.\nRowBox[{\"GeoDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the distance between locations specified by position objects or geographical entities.\nRowBox[{\"GeoDistance\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the total distance from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]] through all the intermediate SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "GeoDistanceList":"RowBox[{\"GeoDistanceList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] returns the list of geodesic distances between consecutive pairs of locations.", + "GeoElevationData":"RowBox[{\"GeoElevationData\", \"[\", \"]\"}] gives the elevation above sea level at $GeoLocation.\nRowBox[{\"GeoElevationData\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the elevation at the geographic location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] gives an array of elevation values within the bounding box given by RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{\"GeoPosition\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \"]\"}] gives the list of elevations at the positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"]}], \"]\"}] gives the elevation of type StyleBox[\"etype\", \"TI\"] for the location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] gives the elevation in the specified format.", + "GeoEntities":"RowBox[{\"GeoEntities\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"enttype\", \"TI\"]}], \"]\"}] gives a list of the geographic entities of type StyleBox[\"enttype\", \"TI\"] contained in the extended region StyleBox[\"reg\", \"TI\"].", + "GeoGraphics":"RowBox[{\"GeoGraphics\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a two-dimensional geographical image.", + "GeogravityModelData":"RowBox[{\"GeogravityModelData\", \"[\", \"]\"}] returns the gravitational field data for the current location.\nRowBox[{\"GeogravityModelData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] returns the gravitational field data for a location.\nRowBox[{\"GeogravityModelData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"component\", \"TI\"]}], \"]\"}] returns the component of the gravitational field.", + "GeoGridLines":"GeoGridLines is an option for GeoGraphics that specifies what parallels and meridians to show.", + "GeoGridLinesStyle":"GeoGridLinesStyle is an option for GeoGraphics that specifies how parallels and meridians should be rendered.", + "GeoGridPosition":"RowBox[{\"GeoGridPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"proj\", \"TI\"]}], \"]\"}] represents a point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in a planimetric cartographic grid using the projection StyleBox[\"proj\", \"TI\"].\nRowBox[{\"GeoGridPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"proj\", \"TI\"]}], \"]\"}] represents a point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}] in a cartographic grid with height StyleBox[\"h\", \"TI\"] with respect to the reference ellipsoid.\nRowBox[{\"GeoGridPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"proj\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents a point in a cartographic grid obtained by projection from data in the given datum.", + "GeoGroup":"RowBox[{\"GeoGroup\", \"[\", StyleBox[\"geoobjects\", \"TI\"], \"]\"}] represents a list of geographic objects to be treated as a single object for certain operations.", + "GeoHemisphere":"RowBox[{\"GeoHemisphere\", \"[\", \"]\"}] is a two-dimensional GeoGraphics primitive that represents the half of the Earth centered at your current geo location.\nRowBox[{\"GeoHemisphere\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] represents the half of the Earth centered at the location StyleBox[\"loc\", \"TI\"].", + "GeoHemisphereBoundary":"RowBox[{\"GeoHemisphereBoundary\", \"[\", \"]\"}] is a one-dimensional GeoGraphics primitive that represents the boundary line of a hemisphere of the Earth centered at the current geo location.\nRowBox[{\"GeoHemisphereBoundary\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] represents the boundary line of a hemisphere centered at the location StyleBox[\"loc\", \"TI\"].", + "GeoHistogram":"RowBox[{\"GeoHistogram\", \"[\", StyleBox[\"locs\", \"TI\"], \"]\"}] plots a density histogram of the geographic locations StyleBox[\"locs\", \"TI\"].\nRowBox[{\"GeoHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a density histogram with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"GeoHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a density histogram with bin densities computed according to the specification StyleBox[\"hspec\", \"TI\"].", + "GeoIdentify":"RowBox[{\"GeoIdentify\", \"[\", StyleBox[\"enttype\", \"TI\"], \"]\"}] identifies the geographic entities of the type StyleBox[\"enttype\", \"TI\"] in which the current geo location is contained.\nRowBox[{\"GeoIdentify\", \"[\", RowBox[{StyleBox[\"enttype\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] identifies the entities in which the location StyleBox[\"loc\", \"TI\"] is contained.\nRowBox[{\"GeoIdentify\", \"[\", \"]\"}] identifies the entities of any type in which the current geo location is contained.", + "GeoImage":"RowBox[{\"GeoImage\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a satellite image of the geo region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"GeoImage\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"mapstyle\", \"TI\"]}], \"]\"}] gives an image of the geo region StyleBox[\"reg\", \"TI\"] with style StyleBox[\"mapstyle\", \"TI\"].", + "GeoLabels":"GeoLabels is an option for GeoListPlot and GeoRegionValuePlot that specifies whether and how to add labels to the locations in the first argument.", + "GeoLength":"RowBox[{\"GeoLength\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the length of the geo path StyleBox[\"g\", \"TI\"].", + "GeoListPlot":"RowBox[{\"GeoListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a map on which the locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]] are indicated.\nRowBox[{RowBox[{\"GeoListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \" \"}] generates a map showing several lists of locations.", + "GeoLocation":"GeoLocation is an option for Interpreter and related functions that specifies the location to assume for semantic interpretation.", + "GeologicalPeriodData":"RowBox[{\"GeologicalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the geological period StyleBox[\"entity\", \"TI\"].\nRowBox[{\"GeologicalPeriodData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified period name entities.\nRowBox[{\"GeologicalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "GeomagneticModelData":"RowBox[{\"GeomagneticModelData\", \"[\", \"]\"}] returns the current magnetic field data for the current location.\nRowBox[{\"GeomagneticModelData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] returns the current magnetic field data for a location.\nRowBox[{\"GeomagneticModelData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] returns the magnetic field data for the specified time for the current location.\nRowBox[{\"GeomagneticModelData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] returns the magnetic field data for the specified time and location.\nRowBox[{\"GeomagneticModelData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"component\", \"TI\"]}], \"]\"}] returns the component of the magnetic field for the specified time and location.", + "GeoMarker":"RowBox[{\"GeoMarker\", \"[\", \"]\"}] is a GeoGraphics primitive that represents a marker at the current $GeoLocation.\nRowBox[{\"GeoMarker\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] is a GeoGraphics primitive that represents a marker at the location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoMarker\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a GeoGraphics primitive that represents markers at locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoMarker\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] is a GeoGraphics primitive that represents a custom marker at the location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoMarker\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] is a GeoGraphics primitive that represents custom markers at locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "GeometricBrownianMotionProcess":"RowBox[{\"GeometricBrownianMotionProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a geometric Brownian motion process with drift StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and initial value SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "GeometricDistribution":"RowBox[{\"GeometricDistribution\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a geometric distribution with probability parameter StyleBox[\"p\", \"TI\"]. ", + "GeometricMean":"RowBox[{\"GeometricMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the geometric mean of the values in StyleBox[\"list\", \"TI\"].", + "GeometricMeanFilter":"RowBox[{\"GeometricMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the geometric mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"GeometricMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "GeometricTransformation":"RowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"tfun\", \"TI\"]}], \"]\"}] represents the result of applying the transformation function StyleBox[\"tfun\", \"TI\"] to the geometric objects corresponding to the primitives StyleBox[\"g\", \"TI\"].\nRowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] transforms geometric objects in StyleBox[\"g\", \"TI\"] by effectively replacing every point StyleBox[\"r\", \"TI\"] by RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}]. \nRowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] effectively replaces every point StyleBox[\"r\", \"TI\"] by RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"v\", \"TI\"]}].\nRowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents multiple copies of StyleBox[\"g\", \"TI\"] transformed by a collection of transformations.", + "GeometricTransformation3DBoxOptions":"RowBox[{GeometricTransformation3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GeometricTransformation3DBox objects.", + "GeometricTransformationBoxOptions":"RowBox[{GeometricTransformationBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GeometricTransformationBox objects.", + "GeoModel":"GeoModel is an option for GeoGraphics that specifies the reference body or model for it for the purposes of geodetic computations and map drawing.", + "GeoNearest":"RowBox[{\"GeoNearest\", \"[\", RowBox[{StyleBox[\"enttype\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the geographic entity of type StyleBox[\"enttype\", \"TI\"] closest to the geo location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the nearest of the SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"}\"}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the nearest SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the same result.\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", \"Automatic\"}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] takes the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to be successive integers StyleBox[\"i\", \"TI\"]. \nRowBox[{\"GeoNearest\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns StyleBox[\"n\", \"TI\"] nearest values.\nRowBox[{\"GeoNearest\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] matches within a radius StyleBox[\"r\", \"TI\"] of StyleBox[\"loc\", \"TI\"].", + "GeoPath":"RowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] is a GeoGraphics primitive that represents a path of type StyleBox[\"pathtype\", \"TI\"] between locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a path formed by joining paths of type StyleBox[\"pathtype\", \"TI\"] between consecutive locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a path moving from location SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] a distance StyleBox[\"d\", \"TI\"] with initial bearing StyleBox[\"α\", \"TR\"].\nRowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a disjoint collection of paths of type StyleBox[\"pathtype\", \"TI\"].", + "GeoPosition":"RowBox[{\"GeoPosition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"]}], \"}\"}], \"]\"}] represents a geodetic position with latitude StyleBox[\"lat\", \"TI\"] and longitude StyleBox[\"lon\", \"TI\"].\nRowBox[{\"GeoPosition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] represents a geodetic position with height StyleBox[\"h\", \"TI\"] relative to the reference ellipsoid.\nRowBox[{\"GeoPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents a geodetic position referring to the specified datum.\nRowBox[{\"GeoPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents an array of geodetic positions.\nRowBox[{\"GeoPosition\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] returns the geodetic position of the specified geographical entity.", + "GeoPositionENU":"RowBox[{RowBox[{\"GeoPositionENU\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"east\", \"TI\"], \",\", StyleBox[\"north\", \"TI\"], \",\", StyleBox[\"up\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}], \" \"}] represents a position with local Cartesian coordinates RowBox[{\"{\", RowBox[{StyleBox[\"east\", \"TI\"], \",\", StyleBox[\"north\", \"TI\"], \",\", StyleBox[\"up\", \"TI\"]}], \"}\"}] in a reference system centered at the position StyleBox[\"p\", \"TI\"].\nRowBox[{\"GeoPositionENU\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents an array of positions.\nRowBox[{\"GeoPositionENU\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] returns the Cartesian position with respect to StyleBox[\"p\", \"TI\"] of the specified geographical entity.", + "GeoPositionXYZ":"RowBox[{\"GeoPositionXYZ\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"]\"}] represents a position in a Cartesian geocentric coordinate system.\nRowBox[{\"GeoPositionXYZ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents a point referred to the specified datum.\nRowBox[{\"GeoPositionXYZ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents an array of points in a Cartesian geocentric coordinate system.\nRowBox[{\"GeoPositionXYZ\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] returns the Cartesian geocentric position of the given geographical entity.", + "GeoProjection":"GeoProjection is an option for GeoGraphics that specifies the cartographic projection to use for the map.", + "GeoProjectionData":"RowBox[{\"GeoProjectionData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"projection\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the specified cartographic projection.\nRowBox[{\"GeoProjectionData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"projection\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the complete options for the default form of the specified projection.", + "GeoRange":"GeoRange is an option for GeoGraphics and GeoStyling that specifies the range of latitude and longitude to include. ", + "GeoRangePadding":"GeoRangePadding is an option for GeoGraphics that specifies what padding to use when extending beyond the original ranges of latitude and longitude.", + "GeoRegionValuePlot":"RowBox[{\"GeoRegionValuePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a plot in which the geographic regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]] are colored according to the values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoRegionValuePlot\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \"]\"}] generates a plot in which the geographic subdivisions of StyleBox[\"reg\", \"TI\"] are colored according to the values RowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}].\nRowBox[{\"GeoRegionValuePlot\", \"[\", RowBox[{StyleBox[\"entityclass\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \"]\"}] generates a plot in which the geographic regions in StyleBox[\"entityclass\", \"TI\"] are colored according to the values RowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}].", + "GeoScaleBar":"GeoScaleBar is an option for GeoGraphics that determines what scale to show on the map.", + "GeoServer":"GeoServer is an option for GeoGraphics, GeoStyling and GeoImage that specifies the URL address of a geo server and connection parameters to download map tiles and geo elevation data.", + "GeoSmoothHistogram":"RowBox[{\"GeoSmoothHistogram\", \"[\", StyleBox[\"locs\", \"TI\"], \"]\"}] plots a smooth kernel histogram of the geo locations StyleBox[\"locs\", \"TI\"].\nRowBox[{\"GeoSmoothHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"GeoSmoothHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"].", + "GeoStyling":"RowBox[{\"GeoStyling\", \"[\", StyleBox[\"mapstyle\", \"TI\"], \"]\"}] displays faces of polygons and other filled geo objects using StyleBox[\"mapstyle\", \"TI\"].\nRowBox[{\"GeoStyling\", \"[\", RowBox[{StyleBox[\"mapstyle\", \"TI\"], \",\", StyleBox[\"directive\", \"TI\"]}], \"]\"}] uses StyleBox[\"mapstyle\", \"TI\"]StyleBox[\" \", \"TI\"]with the given graphics StyleBox[\"directive\", \"TI\"]StyleBox[\" \", \"TI\"]applied.", + "GeoStylingImageFunction":"GeoStylingImageFunction is an option for specifying an image effect to apply to a geo style.", + "GeoVariant":"RowBox[{\"GeoVariant\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"qual\", \"TI\"]}], \"]\"}] represents a geographic object StyleBox[\"obj\", \"TI\"] with qualifier StyleBox[\"qual\", \"TI\"].", + "GeoVisibleRegion":"RowBox[{\"GeoVisibleRegion\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] is a two-dimensional GeoGraphics primitive that represents the region on the surface of the Earth visible from the point of coordinates RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"]}] and height StyleBox[\"h\", \"TI\"] above the reference ellipsoid.\nRowBox[{\"GeoVisibleRegion\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents the region visible from the position StyleBox[\"pos\", \"TI\"].", + "GeoVisibleRegionBoundary":"RowBox[{\"GeoVisibleRegionBoundary\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] is a one-dimensional GeoGraphics primitive that represents the boundary of the region on the surface of the Earth visible from the point of coordinates RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"]}] and height StyleBox[\"h\", \"TI\"] above the reference ellipsoid.\nRowBox[{\"GeoVisibleRegionBoundary\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents the boundary of the region visible from the position StyleBox[\"pos\", \"TI\"].", + "GeoWithinQ":"RowBox[{\"GeoWithinQ\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns True if the location StyleBox[\"loc\", \"TI\"] is contained within the region StyleBox[\"reg\", \"TI\"], and False otherwise.\nRowBox[{\"GeoWithinQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] represents an operator form of GeoWithinQ that can be applied to a location.", + "GeoZoomLevel":"GeoZoomLevel is an option for specifying the resolution at which to render a map.", + "GestureHandler":"RowBox[{RowBox[{\"GestureHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"gesture\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"gesture\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}]}]}]}], \"]\"}] displays as StyleBox[\"expr\", \"TI\"], evaluating RowBox[{SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"velocity\", \"TI\"]}], \"]\"}] whenever \"SubscriptBox[\nStyleBox[\"gesture\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs within the screen space occupied by StyleBox[\"expr\", \"TI\"].\nRowBox[{\"GestureHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gesture\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"fun\", \"TI\"], \",\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"fun\", \"TI\"] as updates are received for \"\nStyleBox[\"gesture\", \"TI\"]\", followed by RowBox[{SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"end\", \"TI\"]], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"velocity\", \"TI\"]}], \"]\"}] when the gesture ends.\nRowBox[{\"GestureHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gesture\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"start\", \"TI\"]], \",\", StyleBox[\"fun\", \"TI\"], \",\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also evaluates RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"start\", \"TI\"]], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"velocity\", \"TI\"]}], \"]\"}] when \"\nStyleBox[\"gesture\", \"TI\"]\" begins.", + "Get":"RowBox[{\"<<\", StyleBox[\"name\", \"TI\"]}] reads in a file, evaluating each expression in it and returning the last one. \nRowBox[{\"Get\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads from a stream, evaluating each expression in it and returning the last one.", + "GetContext":"RowBox[{\"GetContext\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] loads the file named by RowBox[{\"ContextToFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], which gives the conventional filename for a package that defines \"\nStyleBox[\"context`\", \"TI\"]\".", + "GetEnvironment":"RowBox[{\"GetEnvironment\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the setting corresponding to the variable \"\nStyleBox[\"var\", \"TI\"]\" in the operating system environment.\nRowBox[{\"GetEnvironment\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of rules, corresponding to specified environment variables.\nRowBox[{\"GetEnvironment\", \"[\", \"]\"}] gives information about all existing settings in the operating system environment.", + "Glaisher":"Glaisher is Glaisher's constant with numerical value RowBox[{\"≃\", \"1.28243\"}]. ", + "GlobalClusteringCoefficient":"RowBox[{\"GlobalClusteringCoefficient\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the global clustering coefficient of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GlobalClusteringCoefficient\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "Glow":"RowBox[{\"Glow\", \"[\", StyleBox[\"col\", \"TI\"], \"]\"}] is a graphics directive which specifies that surfaces of 3D graphics objects that follow are to be taken to glow with color StyleBox[\"col\", \"TI\"]. \nRowBox[{\"Glow\", \"[\", \"]\"}] specifies that there is no glow. ", + "GoldenAngle":"GoldenAngle is the golden angle RowBox[{RowBox[{\"(\", RowBox[{\"3\", \"-\", SqrtBox[\"5\"]}], \")\"}], \" \", \"π\"}], with numerical value RowBox[{\"≃\", RowBox[{\"137.5\", \"°\"}]}].", + "GoldenRatio":"GoldenRatio is the golden ratio RowBox[{\"ϕ\", \"\", RowBox[{FractionBox[\"1\", \"2\"], \" \", RowBox[{\"(\", RowBox[{SqrtBox[\"5\"], \"+\", \"1\"}], \")\"}]}]}], with numerical value RowBox[{\"≃\", \"1.61803\"}].", + "GompertzMakehamDistribution":"RowBox[{\"GompertzMakehamDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a Gompertz distribution with scale parameter StyleBox[\"λ\", \"TR\"] and frailty parameter StyleBox[\"ξ\", \"TR\"].\nRowBox[{\"GompertzMakehamDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] represents a Gompertz–Makeham distribution with parameters StyleBox[\"λ\", \"TR\"], StyleBox[\"ξ\", \"TR\"], StyleBox[\"θ\", \"TR\"], and StyleBox[\"α\", \"TR\"].", + "GoodmanKruskalGamma":"RowBox[{\"GoodmanKruskalGamma\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the Goodman–Kruskal γ coefficient for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Goodman–Kruskal γ coefficients for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the Goodman–Kruskal γ coefficients for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the γ coefficient matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] γ coefficient for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", + "GoodmanKruskalGammaTest":"RowBox[{\"GoodmanKruskalGammaTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"GoodmanKruskalGammaTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"MR\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Goto":"RowBox[{\"Goto\", \"[\", StyleBox[\"tag\", \"TI\"], \"]\"}] scans for RowBox[{\"Label\", \"[\", StyleBox[\"tag\", \"TI\"], \"]\"}], and transfers control to that point. ", + "Grad":"RowBox[{\"Grad\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the gradient RowBox[{\"(\", RowBox[{RowBox[{RowBox[{\"∂\", StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"∂\", StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}]}], \")\"}].\nRowBox[{\"Grad\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the gradient in the coordinates StyleBox[\"chart\", \"TI\"].", + "Gradient":"Gradient is an option for FindMinimum and related functions that specifies the gradient vector to assume for the function being extremized.", + "GradientFilter":"RowBox[{\"GradientFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the magnitude of the gradient of StyleBox[\"data\", \"TI\"], computed using discrete derivatives of a Gaussian of sample radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"GradientFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a Gaussian with standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GradientFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a Gaussian with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in StyleBox[\"data\", \"TI\"].", + "GradientOrientationFilter":"RowBox[{\"GradientOrientationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the local orientation parallel to the gradient of StyleBox[\"data\", \"TI\"], computed using discrete derivatives of a Gaussian of pixel radius StyleBox[\"r\", \"TI\"], returning values between RowBox[{RowBox[{\"-\", \"π\"}], \"\/\", \"2\"}] and RowBox[{\"π\", \"\/\", \"2\"}].\nRowBox[{\"GradientOrientationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a Gaussian with standard deviation StyleBox[\"σ\", \"TR\"].", + "GrammarApply":"RowBox[{\"GrammarApply\", \"[\", RowBox[{StyleBox[\"grammar\", \"TI\"], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] attempts to parse StyleBox[\"input\", \"TI\"] according to the grammar defined by StyleBox[\"grammar\", \"TI\"].", + "GrammarRules":"RowBox[{\"GrammarRules\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents grammar rules to be deployed to a cloud object that implements the grammar in a form suitable for use with functions like GrammarApply and Interpreter.\nRowBox[{\"GrammarRules\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"defs\", \"TI\"]}], \"]\"}] uses grammar definitions StyleBox[\"defs\", \"TI\"].", + "GrammarToken":"RowBox[{\"GrammarToken\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] is a grammar rules pattern object that represents any input of the specified form. ", + "Graph":"RowBox[{\"Graph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a graph with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"Graph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]]. \nRowBox[{\"Graph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a graph with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].", + "Graph3D":"RowBox[{\"Graph3D\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] creates a graph with vertices and edges from the graph StyleBox[\"g\", \"TI\"] and represented as a 3D plot.\nRowBox[{\"Graph3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a graph with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]] and represented as a 3D plot.\nRowBox[{\"Graph3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]]. ", + "GraphAssortativity":"RowBox[{\"GraphAssortativity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the assortativity coefficient of a graph StyleBox[\"g\", \"TI\"] using vertex degrees.\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the assortativity coefficient of the graph StyleBox[\"g\", \"TI\"] using vertex property \"\nStyleBox[\"prop\", \"TI\"]\".\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"1\", \"TR\"]}]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the assortativity coefficient of the graph StyleBox[\"g\", \"TI\"] with respect to the vertex partition RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"1\", \"TR\"]}]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] gives the assortativity coefficient of the graph StyleBox[\"g\", \"TI\"] using data RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for vertices RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "GraphAutomorphismGroup":"RowBox[{\"GraphAutomorphismGroup\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the automorphism group of a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphAutomorphismGroup\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphCenter":"RowBox[{\"GraphCenter\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the set of vertices with minimum eccentricity in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphCenter\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphComplement":"RowBox[{\"GraphComplement\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the graph complement of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphComplement\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphData":"RowBox[{\"GraphData\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives a graph with the specified name.\nRowBox[{\"GraphData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value for the specified property for a named graph.\nRowBox[{\"GraphData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of available named graphs in the specified class.\nRowBox[{\"GraphData\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of available named graphs with StyleBox[\"n\", \"TI\"] vertices.", + "GraphDensity":"RowBox[{\"GraphDensity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the graph density of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDensity\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphDiameter":"RowBox[{\"GraphDiameter\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the greatest distance between any pair of vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDiameter\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphDifference":"RowBox[{\"GraphDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph difference of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphDifference\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphDisjointUnion":"RowBox[{\"GraphDisjointUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph disjoint union of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphDisjointUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the disjoint union of SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"GraphDisjointUnion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphDistance":"RowBox[{\"GraphDistance\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the distance from source vertex StyleBox[\"s\", \"TI\"] to target vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistance\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the distance from StyleBox[\"s\", \"TI\"] to all vertices of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistance\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphDistanceMatrix":"RowBox[{\"GraphDistanceMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the matrix of distances between vertices for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistanceMatrix\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the matrix of distances between vertices of maximal distance StyleBox[\"d\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistanceMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphEmbedding":"RowBox[{\"GraphEmbedding\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives coordinates of the vertices of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphEmbedding\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"emb\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives coordinates of the vertices of the graph StyleBox[\"g\", \"TI\"] using the embedding \"\nStyleBox[\"emb\", \"TI\"]\".\nRowBox[{\"GraphEmbedding\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"emb\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"dim\", \"TI\"]}], \"]\"}] gives coordinates in dimension StyleBox[\"dim\", \"TI\"] of the vertices of the graph StyleBox[\"g\", \"TI\"] using the embedding \"\nStyleBox[\"emb\", \"TI\"]\".", + "GraphHighlight":"GraphHighlight is an option to Graph and related objects that specifies graph elements to highlight. ", + "GraphHighlightStyle":"GraphHighlightStyle is an option to Graph and related objects that specifies styles to use for highlighted graph elements. ", + "GraphHub":"RowBox[{\"GraphHub\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the set of vertices with maximum vertex degree in the underlying simple graph of StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphHub\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the set of vertices with maximum vertex in-degree.\nRowBox[{\"GraphHub\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the set of vertices with maximum vertex out-degree.\nRowBox[{\"GraphHub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "Graphics":"RowBox[{\"Graphics\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a two-dimensional graphical image. ", + "Graphics3D":"RowBox[{\"Graphics3D\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a three-dimensional graphical image. ", + "Graphics3DBoxOptions":"RowBox[{Graphics3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Graphics3DBox objects.", + "GraphicsArray":"RowBox[{\"GraphicsArray\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a row of graphics objects.\nRowBox[{\"GraphicsArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a two-dimensional array of graphical objects.", + "GraphicsBoxOptions":"RowBox[{GraphicsBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsBox objects.", + "GraphicsColumn":"RowBox[{\"GraphicsColumn\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a graphic in which the SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] are laid out in a column, with SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] above SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. \nRowBox[{\"GraphicsColumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"]}], \"]\"}] aligns each element horizontally in the specified way. \nRowBox[{\"GraphicsColumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"], \",\", StyleBox[\"spacing\", \"TI\"]}], \"]\"}] leaves the specified spacing between successive elements.", + "GraphicsComplex":"RowBox[{\"GraphicsComplex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a graphics complex in which coordinates given as integers StyleBox[\"i\", \"TI\"] in graphics primitives in StyleBox[\"data\", \"TI\"] are taken to be SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "GraphicsComplex3DBoxOptions":"RowBox[{GraphicsComplex3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsComplex3DBox objects.", + "GraphicsComplexBoxOptions":"RowBox[{GraphicsComplexBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsComplexBox objects.", + "GraphicsGrid":"RowBox[{\"GraphicsGrid\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a graphic in which the SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"ij\", \"TI\"]] are laid out in a two-dimensional grid.", + "GraphicsGroup":"RowBox[{\"GraphicsGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of graphics objects grouped together for purposes of interactive selection in a notebook. ", + "GraphicsGroup3DBoxOptions":"RowBox[{GraphicsGroup3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsGroup3DBox objects.", + "GraphicsGroupBoxOptions":"RowBox[{GraphicsGroupBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsGroupBox objects.", + "GraphicsRow":"RowBox[{\"GraphicsRow\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a graphic in which the SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] are laid out in a row.\nRowBox[{\"GraphicsRow\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"spacing\", \"TI\"]}], \"]\"}] leaves the specified spacing between successive elements.", + "GraphicsSpacing":"GraphicsSpacing is an option for GraphicsArray that specifies the spacing between elements in the array. ", + "GraphIntersection":"RowBox[{\"GraphIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph intersection of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the graph intersection of SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"GraphIntersection\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphLayout":"GraphLayout is an option to Graph and related functions that specifies what layout to use.", + "GraphLinkEfficiency":"RowBox[{\"GraphLinkEfficiency\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the link efficiency of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphLinkEfficiency\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphPeriphery":"RowBox[{\"GraphPeriphery\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives vertices that are maximally distant to at least one vertex in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPeriphery\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphPlot":"RowBox[{\"GraphPlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"GraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"GraphPlot\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a plot of the graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", + "GraphPlot3D":"RowBox[{\"GraphPlot3D\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a 3D plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a 3D plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"GraphPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"GraphPlot3D\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a plot of the graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", + "GraphPower":"RowBox[{\"GraphPower\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph-StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] power of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPower\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphPropertyDistribution":"RowBox[{\"GraphPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"gdist\", \"TI\"]}]}], \"]\"}] represents the distribution of the property StyleBox[\"expr\", \"TI\"] where the random variable StyleBox[\"x\", \"TI\"] follows the graph distribution StyleBox[\"gdist\", \"TI\"].\nRowBox[{\"GraphPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the distribution where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the graph distributions SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "GraphQ":"RowBox[{\"GraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if StyleBox[\"g\", \"TI\"] is a valid Graph object and False otherwise.", + "GraphRadius":"RowBox[{\"GraphRadius\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the minimum eccentricity of the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphRadius\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphReciprocity":"RowBox[{\"GraphReciprocity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the reciprocity of a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphReciprocity\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "GraphStyle":"GraphStyle is an option to Graph and related objects that specifies styles to use for the different graph elements. ", + "GraphUnion":"RowBox[{\"GraphUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph union of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the graph union of SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"GraphUnion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "Gray":"Gray represents the color gray in graphics or style specifications. ", + "GrayLevel":"RowBox[{\"GrayLevel\", \"[\", StyleBox[\"level\", \"TI\"], \"]\"}] is a graphics directive specifying that objects that follow are to be displayed in the gray level given. \nRowBox[{\"GrayLevel\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. ", + "Greater":"RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"y\", \"TI\"]}] yields True if x is determined to be greater than y. \nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[\"x\", \"i\"] form a strictly decreasing sequence. ", + "GreaterEqual":"RowBox[{StyleBox[\"x\", \"TI\"], \">=\", StyleBox[\"y\", \"TI\"]}] or RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", StyleBox[\"y\", \"TI\"]}] yields True if x is determined to be greater than or equal to y. \nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≥\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"≥\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[\"x\", \"i\"] form a non‐increasing sequence. ", + "GreaterEqualLess":"RowBox[{\"GreaterEqualLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⋛\", \"y\", \"⋛\", \"…\"}].", + "GreaterEqualThan":"RowBox[{\"GreaterEqualThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields StyleBox[RowBox[{\"x\", \"≥\", \"y\"}], \"TI\"] when applied to an expression StyleBox[\"x\", \"TI\"].", + "GreaterFullEqual":"RowBox[{\"GreaterFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≧\", \"y\", \"≧\", \"…\"}].", + "GreaterGreater":"RowBox[{\"GreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≫\", \"y\", \"≫\", \"…\"}].", + "GreaterLess":"RowBox[{\"GreaterLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≷\", \"y\", \"≷\", \"…\"}].", + "GreaterSlantEqual":"RowBox[{\"GreaterSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⩾\", \"y\", \"⩾\", \"…\"}].", + "GreaterThan":"RowBox[{\"GreaterThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"].", + "GreaterTilde":"RowBox[{\"GreaterTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≳\", \"y\", \"≳\", \"…\"}].", + "Green":"Green represents the color green in graphics or style specifications. ", + "GreenFunction":"RowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives a Green's function for the linear differential operator ℒ with boundary conditions ℬ in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] gives a Green's function for the linear partial differential operator ℒ over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[RowBox[{\"x\", \",\", \"t\"}], \"TI\"], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[RowBox[{\"x\", \",\", \"t\"}], \"TI\"], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[RowBox[{\"y\", \",\", \"τ\"}], \"TI\"], \"}\"}]}], \"]\"}] gives a Green's function for the linear time-dependent operator ℒ in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"t\", \"TI\"]}], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", \"τ\"}], \"}\"}]}], \"]\"}] gives a Green's function for the linear time-dependent operator ℒ over the region StyleBox[\"Ω\", \"TR\"].", + "Grid":"RowBox[{\"Grid\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats with the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"ij\", \"TI\"]] arranged in a two-dimensional grid. ", + "GridBaseline":"GridBaseline is an option for GridBox that specifies what place in the grid should be considered its baseline for purposes of alignment with surrounding objects. ", + "GridBox":"RowBox[{GridBox, \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a low-level box construct that represents a two-dimensional grid of boxes or strings in notebook expressions.", + "GridBoxOptions":"RowBox[{GridBoxOptions, \"->\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option which specifies default settings for GridBox objects.", + "GridCreationSettings":"GridCreationSettings is a global option that specifies settings for the StyleBox[\"Create Table\/Matrix\", \"DialogElementName\"] dialog.", + "GridDefaultElement":"GridDefaultElement is an option for the low-level function GridBox that specifies what to insert when a new element is created interactively in a GridBox. ", + "GridFrame":"GridFrame is an option for grids that specifies whether a surrounding frame is drawn.", + "GridFrameMargins":"GridFrameMargins is an option for grids that specifies the spacing between the content of the grid and the frame surrounding it.", + "GridGraph":"RowBox[{\"GridGraph\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \"]\"}] gives the grid graph with RowBox[{StyleBox[\"m\", \"TI\"], \"×\", StyleBox[\"n\", \"TI\"]}] vertices SubscriptBox[\"G\", RowBox[{\"m\", \",\", \"n\"}]].\nRowBox[{\"GridGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] gives the k-dimensional grid graph with RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", \"⋯\", \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}] vertices SubscriptBox[\"G\", RowBox[{SubscriptBox[\"n\", \"1\"], \",\", SubscriptBox[\"n\", \"2\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"n\", \"k\"]}]].", + "GridLines":"GridLines is an option for two-dimensional graphics functions that specifies grid lines. ", + "GridLinesStyle":"GridLinesStyle is an option for 2D graphics functions that specifies how grid lines should be rendered.", + "GroebnerBasis":"RowBox[{\"GroebnerBasis\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of polynomials that form a Gröbner basis for the set of polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"GroebnerBasis\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds a Gröbner basis in which the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] have been eliminated. ", + "GroupActionBase":"GroupActionBase is an option to specify a base for a group.", + "GroupBy":"RowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an association that groups the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] into lists associated with distinct keys RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"k\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"v\", \"TI\"]]}]}], \"]\"}] groups the RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"v\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] according to the RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"k\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] groups into nested associations using SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"].\nRowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"red\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"red\", \"TI\"] to reduce lists of values that are generated.\nRowBox[{\"GroupBy\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an operator form of GroupBy that can be applied to an expression.", + "GroupCentralizer":"RowBox[{\"GroupCentralizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns the centralizer of the element StyleBox[\"g\", \"TI\"] in StyleBox[\"group\", \"TI\"].", + "GroupElementFromWord":"RowBox[{\"GroupElementFromWord\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] returns the element of StyleBox[\"group\", \"TI\"] determined by the word StyleBox[\"w\", \"TI\"] in the generators of StyleBox[\"group\", \"TI\"].", + "GroupElementPosition":"RowBox[{\"GroupElementPosition\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns the position of the element StyleBox[\"g\", \"TI\"] in the list of elements of StyleBox[\"group\", \"TI\"].\nRowBox[{\"GroupElementPosition\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the list of positions of the elements RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]]}] in StyleBox[\"group\", \"TI\"].", + "GroupElementQ":"RowBox[{\"GroupElementQ\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns True if the object StyleBox[\"g\", \"TI\"] is an element of StyleBox[\"group\", \"TI\"] and False otherwise.", + "GroupElements":"RowBox[{\"GroupElements\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns the list of all elements of StyleBox[\"group\", \"TI\"].\nRowBox[{\"GroupElements\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the elements numbered RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"k\", \"TI\"]]}] in StyleBox[\"group\", \"TI\"] in the standard order.", + "GroupElementToWord":"RowBox[{\"GroupElementToWord\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] decomposes the group element StyleBox[\"g\", \"TI\"] as a product of generators of StyleBox[\"group\", \"TI\"].", + "GroupGenerators":"RowBox[{\"GroupGenerators\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns a list of generators of StyleBox[\"group\", \"TI\"]. ", + "Groupings":"RowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a list of all possible groupings of RowBox[{\"1\", \",\", \"…\", \",\", StyleBox[\"n\", \"TI\"]}] taken StyleBox[\"k\", \"TI\"] at a time. \nRowBox[{\"Groupings\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives all possible groupings of RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}] taken StyleBox[\"k\", \"TI\"] at a time.\nRowBox[{\"Groupings\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the combination of all possible groupings of each of the lists RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", \"…\"}] taken StyleBox[\"k\", \"TI\"] at a time.\nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"\", StyleBox[\"k\", \"TI\"]}]}], \"]\"}] gives all possible groupings of StyleBox[\"aspec\", \"TI\"] taken StyleBox[\"k\", \"TI\"] at a time with the function StyleBox[\"f\", \"TI\"] applied at each level. \nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives all possible groupings in which the function SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] is applied to SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements. \nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] allows at most SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] occurrences in a given grouping of SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] applied to SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements.\nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the function StyleBox[\"h\", \"TI\"] around each grouping generated.", + "GroupMultiplicationTable":"RowBox[{\"GroupMultiplicationTable\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] gives the multiplication table of StyleBox[\"group\", \"TI\"] as an array.", + "GroupOrbits":"RowBox[{\"GroupOrbits\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the orbits of the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] under the action of the elements of StyleBox[\"group\", \"TI\"].\nRowBox[{\"GroupOrbits\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] finds the orbits under the group action given by a function StyleBox[\"f\", \"TI\"].", + "GroupOrder":"RowBox[{\"GroupOrder\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns the number of elements of StyleBox[\"group\", \"TI\"].", + "GroupPageBreakWithin":"GroupPageBreakWithin is an option for Cell that specifies whether a page break should be allowed within the group of cells if the notebook that contains the group is printed. ", + "GroupSetwiseStabilizer":"RowBox[{\"GroupSetwiseStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the subgroup of StyleBox[\"group\", \"TI\"] for which the images of the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] are still in the list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].\nRowBox[{\"GroupSetwiseStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns the setwise stabilizer subgroup under the action given by the function StyleBox[\"f\", \"TI\"].", + "GroupStabilizer":"RowBox[{\"GroupStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the subgroup of elements of StyleBox[\"group\", \"TI\"] that move none of the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"GroupStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns the stabilizer subgroup under the action given by the function StyleBox[\"f\", \"TI\"].", + "GroupStabilizerChain":"RowBox[{\"GroupStabilizerChain\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns a list of successive stabilizers in StyleBox[\"group\", \"TI\"] of the points in a base of StyleBox[\"group\", \"TI\"].", + "GrowCutComponents":"RowBox[{\"GrowCutComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"marker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"marker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a segmentation from StyleBox[\"image\", \"TI\"] by growing each SubscriptBox[StyleBox[\"marker\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Gudermannian":"RowBox[{\"Gudermannian\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Gudermannian function RowBox[{\"gd\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "GuidedFilter":"RowBox[{\"GuidedFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"guide\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ϵ\", \"TR\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"] using the guide image StyleBox[\"guide\", \"TI\"] over range-StyleBox[\"r\", \"TI\"] neighborhoods with pixel-value regularizer StyleBox[\"ϵ\", \"TR\"].\nRowBox[{\"GuidedFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ϵ\", \"TR\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"] so as to reduce noise, using StyleBox[\"image\", \"TI\"] as the guide.", + "GumbelDistribution":"RowBox[{\"GumbelDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Gumbel distribution with location parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"GumbelDistribution\", \"[\", \"]\"}] represents a Gumbel distribution with location parameter 0 and scale parameter 1.", + "HaarWavelet":"RowBox[{\"HaarWavelet\", \"[\", \"]\"}] represents a Haar wavelet. ", + "HadamardMatrix":"RowBox[{\"HadamardMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hadamard matrix.", + "HalfLine":"RowBox[{\"HalfLine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents the half-line from the point SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"HalfLine\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents the half-line from the point StyleBox[\"p\", \"TI\"] in the direction StyleBox[\"v\", \"TI\"]. ", + "HalfNormalDistribution":"RowBox[{\"HalfNormalDistribution\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] represents a half-normal distribution with scale inversely proportional to parameter StyleBox[\"θ\", \"TR\"].", + "HalfPlane":"RowBox[{\"HalfPlane\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents the half-plane bounded by the line through SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]] and extended in the direction StyleBox[\"w\", \"TI\"].\nRowBox[{\"HalfPlane\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents the half-plane bounded by the line through StyleBox[\"p\", \"TI\"] along StyleBox[\"v\", \"TI\"] and extended in the direction StyleBox[\"w\", \"TI\"]. ", + "HalfSpace":"RowBox[{\"HalfSpace\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents the half-space of points x such that RowBox[{RowBox[{\"n\", \".\", RowBox[{\"(\", RowBox[{\"x\", \"-\", \"p\"}], \")\"}]}], \"≤\", \"0\"}].\nRowBox[{\"HalfSpace\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents the half-space of points x such that RowBox[{RowBox[{\"n\", \".\", \"x\"}], \"≤\", \"c\"}]. ", + "HamiltonianGraphQ":"RowBox[{\"HamiltonianGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is Hamiltonian, and False otherwise.", + "HammingDistance":"RowBox[{\"HammingDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Hamming distance between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "HammingWindow":"RowBox[{\"HammingWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Hamming window function of StyleBox[\"x\", \"TI\"].", + "HandlerFunctions":"HandlerFunctions is an option for asynchronous operations that specifies functions to apply when events are generated.", + "HandlerFunctionsKeys":"HandlerFunctionsKeys is an option for asynchronous operations that specifies the content of associations to which to apply handler functions. ", + "HankelH1":"RowBox[{\"HankelH1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Hankel function of the first kind RowBox[{SubsuperscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"1\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "HankelH2":"RowBox[{\"HankelH2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Hankel function of the second kind RowBox[{SubsuperscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"2\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "HankelMatrix":"RowBox[{\"HankelMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hankel matrix with first row and first column being successive integers.\nRowBox[{\"HankelMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the Hankel matrix whose first column consists of elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"HankelMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the Hankel matrix with elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] down the first column, and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] across the last row.", + "HankelTransform":"RowBox[{\"HankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Hankel transform of order 0 for StyleBox[\"expr\", \"TI\"].\nRowBox[{\"HankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] gives the Hankel transform of order StyleBox[\"ν\", \"TR\"] for StyleBox[\"expr\", \"TI\"].", + "HannPoissonWindow":"RowBox[{\"HannPoissonWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Hann–Poisson window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"HannPoissonWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "HannWindow":"RowBox[{\"HannWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Hann window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"HannWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "HaradaNortonGroupHN":"RowBox[{\"HaradaNortonGroupHN\", \"[\", \"]\"}] represents the sporadic simple Harada–Norton group HN.", + "HararyGraph":"RowBox[{\"HararyGraph\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates the minimal StyleBox[\"k\", \"TI\"]-connected graph on StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"H\", RowBox[{\"k\", \",\", \"n\"}]].", + "HarmonicMean":"RowBox[{\"HarmonicMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the harmonic mean of the values in StyleBox[\"list\", \"TI\"].", + "HarmonicMeanFilter":"RowBox[{\"HarmonicMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the harmonic mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"HarmonicMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "HarmonicNumber":"RowBox[{\"HarmonicNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] harmonic number SubscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"HarmonicNumber\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the harmonic number SubsuperscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"r\", \"TI\"], \")\"}]] of order StyleBox[\"r\", \"TI\"]. ", + "Hash":"RowBox[{\"Hash\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an integer hash code for the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Hash\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an integer hash code of the specified type for StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Hash\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a hash code in the specified format.", + "Haversine":"RowBox[{\"Haversine\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the haversine function RowBox[{\"hav\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "HazardFunction":"RowBox[{\"HazardFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the hazard function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"HazardFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate hazard function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"HazardFunction\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the hazard function as a pure function.", + "Head":"RowBox[{\"Head\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the head of StyleBox[\"expr\", \"TI\"]. ", + "HeadCompose":"RowBox[{\"HeadCompose\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", \" \", StyleBox[\"b\", \"TI\"], \",\", \" \", StyleBox[\"c\", \"TI\"], \",\", \" \", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \"[\", StyleBox[\"b\", \"TI\"], \"]\"}], \"[\", StyleBox[\"c\", \"TI\"], \"]\"}], \"[\", StyleBox[\"d\", \"TI\"], \"]\"}].", + "HeaderLines":"HeaderLines is an option for SemanticImport and related functions that specifies how many of the initial rows should be considered part of a column header.", + "Heads":"Heads is an option for functions which use level specifications that specifies whether heads of expressions should be included. ", + "HeavisideLambda":"RowBox[{\"HeavisideLambda\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the triangle distribution RowBox[{\"Λ\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}] which is nonzero for RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \"<\", \"1\"}].\nRowBox[{\"HeavisideLambda\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional triangle distribution RowBox[{\"Λ\", \"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}] which is nonzero for RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\"}], \"<\", \"1\"}].", + "HeavisidePi":"RowBox[{\"HeavisidePi\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the box distribution RowBox[{\"Π\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}], equal to 1 for RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \"<\", FractionBox[\"1\", \"2\"]}] and 0 for RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \">\", FractionBox[\"1\", \"2\"]}].\nRowBox[{\"HeavisidePi\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional box distribution RowBox[{\"Π\", \"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}] which is 1 if all RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\"}], \"<\", FractionBox[\"1\", \"2\"]}].", + "HeavisideTheta":"RowBox[{\"HeavisideTheta\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the Heaviside theta function RowBox[{\"θ\", \"(\", \"x\", \")\"}], equal to 0 for RowBox[{\"x\", \"<\", \"0\"}] and 1 for RowBox[{\"x\", \">\", \"0\"}]. \nRowBox[{\"HeavisideTheta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional Heaviside theta function, which is 1 only if none of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are not positive. ", + "HeldGroupHe":"RowBox[{\"HeldGroupHe\", \"[\", \"]\"}] represents the sporadic simple Held group He.", + "HelpBrowserSettings":"HelpBrowserSettings is a global option that specifies settings for the legacy Help Browser.", + "Here":"Here represents the current deduced geo location.", + "HermiteDecomposition":"RowBox[{\"HermiteDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Hermite normal form decomposition of an integer matrix StyleBox[\"m\", \"TI\"].", + "HermiteH":"RowBox[{\"HermiteH\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Hermite polynomial RowBox[{SubscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "HermitianMatrixQ":"RowBox[{\"HermitianMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly Hermitian, and False otherwise. ", + "HessenbergDecomposition":"RowBox[{\"HessenbergDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Hessenberg decomposition of a numerical matrix StyleBox[\"m\", \"TI\"]. ", + "HexadecimalCharacter":"HexadecimalCharacter represents a hexadecimal digit character 0–9, a–f, A–F in StringExpression.", + "Hexahedron":"RowBox[{\"Hexahedron\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"8\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled hexahedron with corners SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], …, SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"8\", \"TR\"]].\nRowBox[{\"Hexahedron\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"1\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"2\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"8\"}], \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"1\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of hexahedra.", + "HiddenMarkovProcess":"RowBox[{\"HiddenMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"em\", \"TI\"]}], \"]\"}] represents a discrete-time, finite-state hidden Markov process with transition matrix StyleBox[\"m\", \"TI\"], emission matrix StyleBox[\"em\", \"TI\"], and initial hidden state SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"HiddenMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a hidden Markov process with emission distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HiddenMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a hidden Markov process with initial hidden state probability vector SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "HiddenSurface":"HiddenSurface is an option for SurfaceGraphics which specifies whether hidden surfaces are to be eliminated. ", + "Highlighted":"RowBox[{\"Highlighted\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays a highlighted version of StyleBox[\"expr\", \"TI\"].", + "HighlightGraph":"RowBox[{\"HighlightGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that can be vertices, edges, or subgraphs of StyleBox[\"g\", \"TI\"].\nRowBox[{\"HighlightGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights using the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"HighlightGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "HighlightImage":"RowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"roi\", \"TI\"]}], \"]\"}] highlights the specified region of interest StyleBox[\"roi\", \"TI\"] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights several regions of interest SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds a feature defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"fg\", \"TI\"], \",\", StyleBox[\"bgstyle\", \"TI\"]}], \"]\"}] applies the styling StyleBox[\"bgstyle\", \"TI\"] to the complement of all the regions of interest.", + "HighlightMesh":"RowBox[{\"HighlightMesh\", \"[\", RowBox[{StyleBox[\"mr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights the cells specified by SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the mesh region StyleBox[\"mr\", \"TI\"].\nRowBox[{\"HighlightMesh\", \"[\", RowBox[{StyleBox[\"mr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights using the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].", + "HighpassFilter":"RowBox[{\"HighpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a highpass filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"HighpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"HighpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", + "HigmanSimsGroupHS":"RowBox[{\"HigmanSimsGroupHS\", \"[\", \"]\"}] represents the sporadic simple Higman–Sims group HS.", + "HilbertCurve":"RowBox[{\"HilbertCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Hilbert curve.\nRowBox[{\"HilbertCurve\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Hilbert curve in dimension StyleBox[\"d\", \"TI\"].", + "HilbertFilter":"RowBox[{\"HilbertFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a Hilbert filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"HilbertFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"HilbertFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", + "HilbertMatrix":"RowBox[{\"HilbertMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hilbert matrix with elements of the form RowBox[{\"1\", \"\/\", RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \"+\", StyleBox[\"j\", \"TI\"], \"-\", \"1\"}], \")\"}]}].\nRowBox[{\"HilbertMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \"]\"}] gives the StyleBox[\"m\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hilbert matrix.", + "Histogram":"RowBox[{\"Histogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Histogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a histogram with bin width specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"Histogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"Histogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Histogram3D":"RowBox[{\"Histogram3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a 3D histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"Histogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a 3D histogram with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"Histogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a 3D histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"Histogram3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots 3D histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "HistogramDistribution":"RowBox[{\"HistogramDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the probability distribution corresponding to a histogram of the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HistogramDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate histogram distribution based on data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"HistogramDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] represents a histogram distribution with bins specified by StyleBox[\"bspec\", \"TI\"].", + "HistogramList":"RowBox[{\"HistogramList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of bins and histogram heights of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HistogramList\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of bins and histogram heights of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"HistogramList\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] gives a list of bins and histogram heights with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"HistogramList\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] gives a list of bins and histogram heights with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].", + "HistogramTransform":"RowBox[{\"HistogramTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] transforms pixel values of StyleBox[\"image\", \"TI\"] so that its histogram is nearly flat.\nRowBox[{\"HistogramTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] modifies pixel values of StyleBox[\"image\", \"TI\"] so that its histogram matches the probability density function (PDF) of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"HistogramTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] matches the histogram of StyleBox[\"image\", \"TI\"] with the histogram of the reference image StyleBox[\"ref\", \"TI\"].\nRowBox[{\"HistogramTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] transforms values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "HistogramTransformInterpolation":"RowBox[{\"HistogramTransformInterpolation\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] finds a function StyleBox[\"f\", \"TI\"] so that the transformed values RowBox[{StyleBox[\"f\", \"TI\"], \"(\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \")\"}] are distributed nearly uniformly.\nRowBox[{\"HistogramTransformInterpolation\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] finds StyleBox[\"f\", \"TI\"] so that RowBox[{StyleBox[\"f\", \"TI\"], \"(\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \")\"}] are distributed with distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"HistogramTransformInterpolation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds a function that reshapes the histogram of StyleBox[\"image\", \"TI\"].", + "HistoricalPeriodData":"RowBox[{\"HistoricalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the historical period StyleBox[\"entity\", \"TI\"].\nRowBox[{\"HistoricalPeriodData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified historical period entities.\nRowBox[{\"HistoricalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "HitMissTransform":"RowBox[{\"HitMissTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the hit-and-miss transform of StyleBox[\"image\", \"TI\"] with respect to the composite structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"HitMissTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the union of the hit-and-miss transforms for all the structuring elements SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HitMissTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "HITSCentrality":"RowBox[{\"HITSCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of authority and hub centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"HITSCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "HjorthDistribution":"RowBox[{\"HjorthDistribution\", \"[\", StyleBox[RowBox[{\"m\", \",\", \"s\", \",\", \"f\"}], \"TI\"], \"]\"}] represents the Hjorth distribution with location parameter StyleBox[\"m\", \"TI\"], scale parameter StyleBox[\"s\", \"TI\"], and shape parameter StyleBox[\"f\", \"TI\"]StyleBox[\".\", \"TI\"]", + "HodgeDual":"RowBox[{\"HodgeDual\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the Hodge dual of the StyleBox[\"tensor\", \"TI\"]\nRowBox[{\"HodgeDual\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"dim\", \"TI\"]}], \"]\"}] dualizes StyleBox[\"tensor\", \"TI\"] in the slots with dimension StyleBox[\"dim\", \"TI\"]\nRowBox[{\"HodgeDual\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"dim\", \"TI\"], \",\", StyleBox[\"slots\", \"TI\"]}], \"]\"}] dualizes StyleBox[\"tensor\", \"TI\"] in the given StyleBox[\"slots\", \"TI\"].", + "HoeffdingD":"RowBox[{\"HoeffdingD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Hoeffding's dependence measure StyleBox[\"\", \"TR\"] for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"HoeffdingD\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Hoeffding's dependence measure StyleBox[\"\", \"TR\"] for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"HoeffdingD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Hoeffding's dependence measure StyleBox[\"\", \"TR\"] for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"HoeffdingD\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives Hoeffding's StyleBox[\"\", \"TR\"] matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"HoeffdingD\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] element of StyleBox[\"\", \"TR\"] for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", + "HoeffdingDTest":"RowBox[{\"HoeffdingDTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"HoeffdingDTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Hold":"RowBox[{\"Hold\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] maintains StyleBox[\"expr\", \"TI\"] in an unevaluated form. ", + "HoldAll":"HoldAll is an attribute that specifies that all arguments to a function are to be maintained in an unevaluated form. ", + "HoldAllComplete":"HoldAllComplete is an attribute which specifies that all arguments to a function are not to be modified or looked at in any way in the process of evaluation. ", + "HoldComplete":"RowBox[{\"HoldComplete\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] shields StyleBox[\"expr\", \"TI\"] completely from the standard StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] evaluation process, preventing even upvalues associated with StyleBox[\"expr\", \"TI\"] from being used. ", + "HoldFirst":"HoldFirst is an attribute that specifies that the first argument to a function is to be maintained in an unevaluated form. ", + "HoldForm":"RowBox[{\"HoldForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the expression StyleBox[\"expr\", \"TI\"], with StyleBox[\"expr\", \"TI\"] maintained in an unevaluated form. ", + "HoldPattern":"RowBox[{\"HoldPattern\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is equivalent to StyleBox[\"expr\", \"TI\"] for pattern matching, but maintains StyleBox[\"expr\", \"TI\"] in an unevaluated form. ", + "HoldRest":"HoldRest is an attribute which specifies that all but the first argument to a function are to be maintained in an unevaluated form. ", + "HolidayCalendar":"HolidayCalendar is an option that specifies the holiday calendar schedule in business day functions.", + "HorizontalForm":"HorizontalForm is an internal symbol used for formatting and printing.", + "HorizontalGauge":"RowBox[{\"HorizontalGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of 0 to 1.\nRowBox[{\"HorizontalGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"HorizontalGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the gauge.\nRowBox[{\"HorizontalGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a gauge showing multiple values.", + "HornerForm":"RowBox[{\"HornerForm\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] puts the polynomial StyleBox[\"poly\", \"TI\"] in Horner form.\nRowBox[{\"HornerForm\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] puts StyleBox[\"poly\", \"TI\"] in Horner form with respect to the variable or variable list StyleBox[\"vars\", \"TI\"].\nRowBox[{\"HornerForm\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] puts the rational function RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] in Horner form by nesting SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"HornerForm\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] puts RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] in Horner form using the variables or variable lists SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"2\", \"TR\"]] for SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], respectively.", + "HostLookup":"RowBox[{\"HostLookup\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives the IP address for the host with the specified name.\nRowBox[{\"HostLookup\", \"[\", StyleBox[\"address\", \"TI\"], \"]\"}] gives the host name for the host at the specified IP address.\nRowBox[{\"HostLookup\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives a specified property of the host.\nRowBox[{\"HostLookup\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", \"All\"}], \"]\"}] gives an association of properties found for the host.", + "HotellingTSquareDistribution":"RowBox[{\"HotellingTSquareDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents Hotelling's SuperscriptBox[StyleBox[\"T\", \"TI\"], \"2\"] distribution with dimensionality parameter StyleBox[\"p\", \"TI\"] and StyleBox[\"m\", \"TI\"] degrees of freedom.", + "HoytDistribution":"RowBox[{\"HoytDistribution\", \"[\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] represents a Hoyt distribution with shape parameter StyleBox[\"q\", \"TI\"] and spread parameter StyleBox[\"ω\", \"TR\"].", + "HTMLSave":"RowBox[{\"HTMLSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).html\\\"\",ShowStringCharacters->True], \"]\"}] saves an HTML version of the current input notebook in the front end. \nRowBox[{\"HTMLSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).html\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\).nb\\\"\",ShowStringCharacters->True]}], \"]\"}] saves an HTML version of the notebook from the file RowBox[{StyleBox[\"source\", \"TI\"], \".\"}]nb.\nRowBox[{\"HTMLSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).html\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"notebook\", \"TI\"]}], \"]\"}] saves an HTML version of the notebook corresponding to the specified notebook object. ", + "HTTPErrorResponse":"RowBox[{\"HTTPErrorResponse\", \"[\", StyleBox[\"code\", \"TI\"], \"]\"}] is an object that represents an error response to an HTTP request, with specified error code.", + "HTTPRedirect":"RowBox[{\"HTTPRedirect\", \"[\", StyleBox[\"uri\", \"TI\"], \"]\"}] represents an HTTP redirect to the specified StyleBox[\"uri\", \"TI\"].\nRowBox[{\"HTTPRedirect\", \"[\", RowBox[{StyleBox[\"uri\", \"TI\"], \",\", StyleBox[\"metadata\", \"TI\"]}], \"]\"}] represents an HTTP redirect to StyleBox[\"uri\", \"TI\"] with the specified metadata.", + "HTTPRequest":"RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] represents an HTTP request for the specified URL.\nRowBox[{\"HTTPRequest\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents an HTTP request built from the components in the association StyleBox[\"assoc\", \"TI\"]. \nRowBox[{\"HTTPRequest\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] represents an HTTP request for the specified URL with additional elements such as headers given by StyleBox[\"assoc\", \"TI\"].", + "HTTPRequestData":"RowBox[{\"HTTPRequestData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the value of the specified property of the current HTTP request.\nRowBox[{\"HTTPRequestData\", \"[\", \"]\"}] gives an association with values of properties of the current HTTP request.", + "HTTPResponse":"RowBox[{\"HTTPResponse\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] is an object that represents a successful response to an HTTP request, with the specified body and default metadata.\nRowBox[{\"HTTPResponse\", \"[\", RowBox[{StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"metadata\", \"TI\"]}], \"]\"}] represents a response to an HTTP request, including the specified body and metadata.", + "Hue":"RowBox[{\"Hue\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] is a graphics directive which specifies that objects which follow are to be displayed, in a color corresponding to hue StyleBox[\"h\", \"TI\"]. \nRowBox[{\"Hue\", \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] specifies colors in terms of hue, saturation, and brightness. \nRowBox[{\"Hue\", \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. ", + "HumanGrowthData":"RowBox[{\"HumanGrowthData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the range of values within one standard deviation of the mean for all properties of human growth at the specification StyleBox[\"spec\", \"TI\"].\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the range of values within one standard deviation of the mean of a property for the specification StyleBox[\"spec\", \"TI\"].\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the values for all properties of human growth for StyleBox[\"spec\", \"TI\"] at the specified percentile.\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the value at a specific index of a property for StyleBox[\"spec\", \"TI\"] at the specified percentile.\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] returns the percentile and probability density for a specific value StyleBox[\"quantity\", \"TI\"] of the property at StyleBox[\"spec\", \"TI\"].", + "HumpDownHump":"RowBox[{\"HumpDownHump\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≎\", StyleBox[\"y\", \"TI\"], \"≎\", \"…\"}].", + "HumpEqual":"RowBox[{\"HumpEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≏\", StyleBox[\"y\", \"TI\"], \"≏\", StyleBox[\"…\", \"TR\"]}].", + "HurwitzLerchPhi":"RowBox[{\"HurwitzLerchPhi\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the Hurwitz–Lerch transcendent RowBox[{\"Φ\", \"(\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}].", + "HurwitzZeta":"RowBox[{\"HurwitzZeta\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the Hurwitz zeta function RowBox[{\"ζ\", \"(\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}].", + "HyperbolicDistribution":"RowBox[{\"HyperbolicDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a hyperbolic distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"δ\", \"TR\"], shape parameter StyleBox[\"α\", \"TR\"], and skewness parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"HyperbolicDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a generalized hyperbolic distribution with shape parameter StyleBox[\"λ\", \"TR\"].", + "HypercubeGraph":"RowBox[{\"HypercubeGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]-dimensional hypercube graph SubscriptBox[\"Q\", \"n\"].", + "HyperexponentialDistribution":"RowBox[{\"HyperexponentialDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an StyleBox[\"m\", \"TI\"]-phase hyperexponential distribution with phase probabilities SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]] and rates SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"i\", \"TI\"]].", + "Hyperfactorial":"RowBox[{\"Hyperfactorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the hyperfactorial function RowBox[{StyleBox[\"H\", \"TI\"], \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", + "Hypergeometric0F1":"RowBox[{\"Hypergeometric0F1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the confluent hypergeometric function RowBox[{SubscriptBox[\"\", \"0\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{\";\", StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", + "Hypergeometric0F1Regularized":"RowBox[{\"Hypergeometric0F1Regularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized confluent hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"0\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"Γ\", \"(\", StyleBox[\"a\", \"TI\"], \")\"}]}]. ", + "Hypergeometric1F1":"RowBox[{\"Hypergeometric1F1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the Kummer confluent hypergeometric function RowBox[{SubscriptBox[\"\", \"1\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", + "Hypergeometric1F1Regularized":"RowBox[{\"Hypergeometric1F1Regularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized confluent hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"1\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"Γ\", \"(\", StyleBox[\"b\", \"TI\"], \")\"}]}]. ", + "Hypergeometric2F1":"RowBox[{\"Hypergeometric2F1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"2\"], SubscriptBox[\"F\", \"1\"]}], \"(\", RowBox[{\"a\", \",\", \"b\", \";\", \"c\", \";\", \"z\"}], \")\"}]. ", + "Hypergeometric2F1Regularized":"RowBox[{\"Hypergeometric2F1Regularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"2\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"c\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"Γ\", \"(\", StyleBox[\"c\", \"TI\"], \")\"}]}]. ", + "HypergeometricDistribution":"RowBox[{\"HypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"succ\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"tot\", \"TI\"]]}], \"]\"}] represents a hypergeometric distribution.", + "HypergeometricPFQ":"RowBox[{\"HypergeometricPFQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the generalized hypergeometric function RowBox[{SubscriptBox[\"\", StyleBox[\"p\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"q\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", + "HypergeometricPFQRegularized":"RowBox[{\"HypergeometricPFQRegularized\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized generalized hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", StyleBox[\"p\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"q\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"(\", RowBox[{\"Γ\", \"(\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], \"1\"], \")\"}], \"…\", RowBox[{\"Γ\", \"(\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \")\"}], \")\"}]}]. ", + "HypergeometricU":"RowBox[{\"HypergeometricU\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the confluent hypergeometric function RowBox[{StyleBox[\"U\", \"TI\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", + "Hyperlink":"RowBox[{\"Hyperlink\", \"[\", StyleBox[\"uri\", \"TI\"], \"]\"}] represents a hyperlink that jumps to the specified URI when clicked. \nRowBox[{\"Hyperlink\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"uri\", \"TI\"]}], \"]\"}] represents a hyperlink to be displayed as StyleBox[\"label\", \"TI\"]. ", + "Hyperplane":"RowBox[{\"Hyperplane\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents the hyperplane with normal StyleBox[\"n\", \"TI\"] passing through the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Hyperplane\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents the hyperplane with normal StyleBox[\"n\", \"TI\"] given by the points x that satisfy RowBox[{RowBox[{\"n\", \".\", \"x\"}], \"\", \"c\"}]. ", + "Hyphenation":"Hyphenation is an option for Cell that specifies whether to allow hyphenation for words of text. ", + "HypoexponentialDistribution":"RowBox[{\"HypoexponentialDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \"]\"}] represents an StyleBox[\"m\", \"TI\"]-phase hypoexponential distribution with rates SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]].", + "HypothesisTestData":"RowBox[{\"HypothesisTestData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents hypothesis test data such as generated by DistributionFitTest, AndersonDarlingTest, etc. ", + "I":"I represents the imaginary unit SqrtBox[RowBox[{\"-\", \"1\"}]]. ", + "IconData":"RowBox[{\"IconData\", \"[\", RowBox[{StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] generates an iconic view of the StyleBox[\"property\", \"TI\"] for the value StyleBox[\"quantity\", \"TI\"].", + "Iconize":"RowBox[{\"Iconize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an iconized form that can be used to stand in for StyleBox[\"expr\", \"TI\"] in notebook input.\nRowBox[{\"Iconize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] displays with the specified name in the icon.", + "IconRules":"IconRules is an option for CloudObject and related objects that specifies icons to use in different deployments to represent an object.", + "Identity":"RowBox[{\"Identity\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives StyleBox[\"expr\", \"TI\"] (the identity operation). ", + "IdentityMatrix":"RowBox[{\"IdentityMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]StyleBox[\"n\", \"TI\"] identity matrix. ", + "If":"RowBox[{\"If\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives StyleBox[\"t\", \"TI\"] if StyleBox[\"condition\", \"TI\"] evaluates to True, and StyleBox[\"f\", \"TI\"] if it evaluates to False. \nRowBox[{\"If\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"]}], \"]\"}] gives StyleBox[\"u\", \"TI\"] if StyleBox[\"condition\", \"TI\"] evaluates to neither True nor False. ", + "IgnoreCase":"IgnoreCase is an option for string manipulation and searching functions that specifies whether lowercase and uppercase letters should be treated as equivalent. ", + "IgnoreDiacritics":"IgnoreDiacritics is an option for string, grammar, and related functions that specifies whether diacritics should be ignored in strings.", + "IgnorePunctuation":"IgnorePunctuation is an option for AlphabeticSort and related functions that specifies whether to consider punctuation in determining sorting order.", + "IgnoringInactive":"RowBox[{\"IgnoringInactive\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] is a pattern object that, for purposes of pattern matching, ignores occurrences of Inactive in both StyleBox[\"patt\", \"TI\"] and the expression being matched.", + "Im":"RowBox[{\"Im\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the imaginary part of the complex number StyleBox[\"z\", \"TI\"]. ", + "Image":"RowBox[{\"Image\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a raster image with pixel values given by the array StyleBox[\"data\", \"TI\"].\nRowBox[{\"Image\", \"[\", StyleBox[\"graphics\", \"TI\"], \"]\"}] creates a raster image from a graphics object. \nRowBox[{\"Image\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives an image that uses the specified options.", + "Image3D":"RowBox[{\"Image3D\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a 3D image with pixel values given by the array StyleBox[\"data\", \"TI\"].\nRowBox[{\"Image3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a 3D image from a list of 2D images.\nRowBox[{\"Image3D\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] creates a 3D image of the specified data type.", + "Image3DProjection":"RowBox[{\"Image3DProjection\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] takes a 3D image and returns a 2D image of maximum projection onto the StyleBox[\"x\", \"TI\"]-StyleBox[\"y\", \"TI\"] plane.\nRowBox[{\"Image3DProjection\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] performs a projection in the direction specified by StyleBox[\"dir\", \"TI\"].\nRowBox[{\"Image3DProjection\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"mode\", \"TI\"]}], \"]\"}] specifies the projection StyleBox[\"mode\", \"TI\"].", + "Image3DSlices":"RowBox[{\"Image3DSlices\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a list of 2D images corresponding to the slices in the Image3D object StyleBox[\"image\", \"TI\"].\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] slice as a 2D image.\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts the specified slices SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"m\", \"TI\"]], \";;\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"]\"}] extracts slices SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"m\", \"TI\"]] through SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] takes slices in dimension StyleBox[\"d\", \"TI\"].", + "ImageAccumulate":"RowBox[{\"ImageAccumulate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives an image in which each pixel represents a sum of all pixels below and to the left of that pixel in StyleBox[\"image\", \"TI\"].", + "ImageAdd":"RowBox[{\"ImageAdd\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] adds an amount StyleBox[\"x\", \"TI\"] to each channel value in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageAdd\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is the sum of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageAdd\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] adds all SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"image\", \"TI\"], where each SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be either an image, a number, or a color value.", + "ImageAdjust":"RowBox[{\"ImageAdjust\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adjusts the levels in StyleBox[\"image\", \"TI\"], rescaling them to cover the range 0 to 1.\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] adjusts the contrast of StyleBox[\"image\", \"TI\"] by an amount StyleBox[\"c\", \"TI\"].\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] adjusts the contrast by an amount StyleBox[\"c\", \"TI\"] and the brightness by an amount StyleBox[\"b\", \"TI\"].\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}]}], \"]\"}] also performs a gamma correction by raising values to the power StyleBox[\"γ\", \"TR\"].\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"corr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] first rescales so that the range of input values SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]] is mapped to 0 to 1.\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"corr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] rescales so that the range of input values SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]] is mapped to SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "ImageAlign":"RowBox[{\"ImageAlign\", \"[\", RowBox[{StyleBox[\"ref\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] returns a version of StyleBox[\"image\", \"TI\"] that is aligned with the reference image StyleBox[\"ref\", \"TI\"].\nRowBox[{\"ImageAlign\", \"[\", RowBox[{StyleBox[\"ref\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the result of aligning each of the SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] with the reference image StyleBox[\"ref\", \"TI\"].\nRowBox[{\"ImageAlign\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] uses SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] as the reference image.", + "ImageApply":"RowBox[{\"ImageApply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageApply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the sequence of corresponding pixel values taken from each SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ImageApplyIndexed":"RowBox[{\"ImageApplyIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel in StyleBox[\"image\", \"TI\"], giving the row and column index of each pixel as a second argument to StyleBox[\"f\", \"TI\"].\nRowBox[{\"ImageApplyIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the sequence of corresponding pixel values taken from each SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]], giving the corresponding row and column index of pixels as the last argument to StyleBox[\"f\", \"TI\"].", + "ImageAspectRatio":"RowBox[{\"ImageAspectRatio\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the ratio of height to width for StyleBox[\"image\", \"TI\"].", + "ImageAssemble":"RowBox[{\"ImageAssemble\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] assembles a single image from an array of images.", + "ImageAugmentationLayer":"RowBox[{\"ImageAugmentationLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] represents a net layer that applies random image transformations to produce images of height StyleBox[\"h\", \"TI\"] and width StyleBox[\"w\", \"TI\"].", + "ImageCapture":"RowBox[{\"ImageCapture\", \"[\", \"]\"}] opens a graphical user interface for capturing images from connected cameras.", + "ImageCaptureFunction":"ImageCaptureFunction is an option for ImageCapture that specifies the function to apply to images acquired by the imaging device. ", + "ImageChannels":"RowBox[{\"ImageChannels\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the number of channels present in the data for the Image or Image3D object StyleBox[\"image\", \"TI\"].", + "ImageClip":"RowBox[{\"ImageClip\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] clips all channel values in StyleBox[\"image\", \"TI\"] to lie in the default range.\nRowBox[{\"ImageClip\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] clips channel values to lie in the range from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"ImageClip\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] for values below StyleBox[\"min\", \"TI\"] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] for values above StyleBox[\"max\", \"TI\"].", + "ImageCollage":"RowBox[{\"ImageCollage\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{RowBox[{\"ImageCollage\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}]}], \"\"}], \"]\"}] also creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] also creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"fitting\", \"TI\"]}], \"]\"}] uses the StyleBox[\"fitting\", \"TI\"] method to create the collage.\nRowBox[{\"ImageCollage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"fitting\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] creates a collage of the specified StyleBox[\"size\", \"TI\"].", + "ImageColorSpace":"RowBox[{\"ImageColorSpace\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the name of the color space of StyleBox[\"image\", \"TI\"].", + "ImageCompose":"RowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"]}], \"]\"}] gives the result of overlaying StyleBox[\"overlay\", \"TI\"] onto StyleBox[\"image\", \"TI\"]. \nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the result of alpha blending StyleBox[\"overlay\", \"TI\"] into StyleBox[\"image\", \"TI\"] using blending fraction StyleBox[\"α\", \"TR\"].\nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places the center of StyleBox[\"overlay\", \"TI\"] at position StyleBox[\"pos\", \"TI\"] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"]}], \"]\"}] places the point StyleBox[\"opos\", \"TI\"] in StyleBox[\"overlay\", \"TI\"] at position StyleBox[\"pos\", \"TI\"] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"o\", \"TI\"]], \",\", StyleBox[\"mode\", \"TI\"]}], \"}\"}]}], \"]\"}] uses the compositing fractions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"k\", \"TI\"]] and the specified compositing mode.", + "ImageConvolve":"RowBox[{\"ImageConvolve\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the convolution of StyleBox[\"image\", \"TI\"] with kernel StyleBox[\"ker\", \"TI\"].", + "ImageCooccurrence":"RowBox[{\"ImageCooccurrence\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] co-occurrence matrix for StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageCooccurrence\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] computes a co-occurrence matrix for arbitrary spatial relationships specified by a kernel StyleBox[\"ker\", \"TI\"].", + "ImageCorners":"RowBox[{\"ImageCorners\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds corners in StyleBox[\"image\", \"TI\"] and returns their coordinates.\nRowBox[{\"ImageCorners\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] finds corners at a pixel range StyleBox[\"r\", \"TI\"].\nRowBox[{\"ImageCorners\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses a threshold StyleBox[\"t\", \"TI\"] for selecting corners.\nRowBox[{\"ImageCorners\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] returns corners that are at least RowBox[{StyleBox[\"d\", \"TI\"], \"+\", \"1\"}] pixels apart.", + "ImageCorrelate":"RowBox[{\"ImageCorrelate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the correlation of StyleBox[\"image\", \"TI\"] with kernel StyleBox[\"ker\", \"TI\"].\nRowBox[{\"ImageCorrelate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] computes a generalized correlation in which the function StyleBox[\"f\", \"TI\"] is used in place of Dot.", + "ImageCorrespondingPoints":"RowBox[{\"ImageCorrespondingPoints\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds a set of matching interest points in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]] and returns their pixel coordinates.", + "ImageCrop":"RowBox[{\"ImageCrop\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] crops StyleBox[\"image\", \"TI\"] by removing borders of uniform color. \nRowBox[{\"ImageCrop\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] crops StyleBox[\"image\", \"TI\"] based on the size specification StyleBox[\"size\", \"TI\"].\nRowBox[{\"ImageCrop\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] crops StyleBox[\"image\", \"TI\"] by removing pixels from sides specified by StyleBox[\"spec\", \"TI\"].", + "ImageData":"RowBox[{\"ImageData\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the array of pixel values in an Image or Image3D object StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageData\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the array of pixel values converted to the specified type.", + "ImageDeconvolve":"RowBox[{\"ImageDeconvolve\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives a deconvolution of StyleBox[\"image\", \"TI\"] using kernel StyleBox[\"ker\", \"TI\"].", + "ImageDemosaic":"RowBox[{\"ImageDemosaic\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cfa\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"row\", \"TI\"], \",\", StyleBox[\"col\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] reconstructs a color image using the specified color filter array \"\nStyleBox[\"cfa\", \"TI\"]\", aligning the top-left pixel of the pattern with the RowBox[{\"{\", RowBox[{StyleBox[\"row\", \"TI\"], \",\", StyleBox[\"col\", \"TI\"]}], \"}\"}] pixel of StyleBox[\"image\", \"TI\"].", + "ImageDifference":"RowBox[{\"ImageDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is the absolute difference of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "ImageDimensions":"RowBox[{\"ImageDimensions\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the pixel dimensions of an Image or Image3D object StyleBox[\"image\", \"TI\"].", + "ImageDisplacements":"RowBox[{\"ImageDisplacements\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives estimated horizontal and vertical displacements between consecutive images.\nRowBox[{\"ImageDisplacements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"flow\", \"TI\"]}], \"]\"}] uses StyleBox[\"flow\", \"TI\"] as an initial estimate for displacement between SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ImageDistance":"RowBox[{\"ImageDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns a distance measure between SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"ImageDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places the center of SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]] at position StyleBox[\"pos\", \"TI\"] in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]].\nRowBox[{\"ImageDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] places the point SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]] of SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]] at position SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]] in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]].", + "ImageEffect":"RowBox[{\"ImageEffect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"effect\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] applies the specified image effect to StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageEffect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"effect\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"params\", \"TI\"]}], \"}\"}]}], \"]\"}] uses parameters StyleBox[\"params\", \"TI\"].", + "ImageExposureCombine":"RowBox[{\"ImageExposureCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] combines differently exposed images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] of the same scene into a single image with overall good exposure.\nRowBox[{\"ImageExposureCombine\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"mode\", \"TI\"]}], \"]\"}] creates a low or a high dynamic range image based on the specified StyleBox[\"mode\", \"TI\"].", + "ImageFeatureTrack":"RowBox[{\"ImageFeatureTrack\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] tracks features from SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"ImageFeatureTrack\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pts\", \"TI\"]}], \"]\"}] tracks features starting from the initial set of points StyleBox[\"pts\", \"TI\"] in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]].", + "ImageFileApply":"RowBox[{\"ImageFileApply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"inputfile\", \"TI\"], \",\", StyleBox[\"outputfile\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel of the image stored in StyleBox[\"inputfile\", \"TI\"] and stores the result in StyleBox[\"outputfile\", \"TI\"].", + "ImageFileFilter":"RowBox[{\"ImageFileFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"inputfile\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"outputfile\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the range StyleBox[\"r\", \"TI\"] neighborhood of each pixel in each channel of the image stored in StyleBox[\"inputfile\", \"TI\"] and stores the result in StyleBox[\"outputfile\", \"TI\"].", + "ImageFileScan":"RowBox[{\"ImageFileScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"inputfile\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel of the image stored in StyleBox[\"inputfile\", \"TI\"].", + "ImageFilter":"RowBox[{\"ImageFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the range-StyleBox[\"r\", \"TI\"] neighborhood of each pixel in each channel of StyleBox[\"image\", \"TI\"].", + "ImageFocusCombine":"RowBox[{\"ImageFocusCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] combines differently focused images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] of the same scene to obtain a single well-focused image. ", + "ImageForestingComponents":"RowBox[{\"ImageForestingComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds a segmentation of StyleBox[\"image\", \"TI\"], returning an integer matrix in which positive integers label different components.\nRowBox[{\"ImageForestingComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] tries to find a segmentation into components that include pixels indicated by StyleBox[\"marker\", \"TI\"].\nRowBox[{\"ImageForestingComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] finds components that are connected at a pixel scale given by StyleBox[\"r\", \"TI\"].", + "ImageFormattingWidth":"ImageFormattingWidth is an option that specifies the target width at which to wrap when formatting an object.", + "ImageForwardTransformation":"RowBox[{\"ImageForwardTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"function\", \"TI\"]}], \"]\"}] gives an image in which each pixel at position RowBox[{StyleBox[\"function\", \"TI\"], \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] corresponds to the position RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageForwardTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"function\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", + "ImageGraphics":"RowBox[{\"ImageGraphics\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns the content of StyleBox[\"image\", \"TI\"] in the form of scalable vector graphics.\nRowBox[{\"ImageGraphics\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses up to StyleBox[\"n\", \"TI\"] colors for the vector graphics.\nRowBox[{\"ImageGraphics\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"colors\", \"TI\"]}], \"]\"}] creates vector graphics containing the specified StyleBox[\"colors\", \"TI\"].", + "ImageHistogram":"RowBox[{\"ImageHistogram\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] plots a histogram of the pixel levels for each channel in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageHistogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] uses bin specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"ImageHistogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] plots the histogram of the pixel values in the given StyleBox[\"range\", \"TI\"].", + "ImageIdentify":"RowBox[{\"ImageIdentify\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] yields the result of attempting to identify what StyleBox[\"image\", \"TI\"] is a picture of. \nRowBox[{\"ImageIdentify\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"]}], \"]\"}] restricts the identification of StyleBox[\"image\", \"TI\"] to objects within the specified category.\nRowBox[{\"ImageIdentify\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of up to StyleBox[\"n\", \"TI\"] possible identifications.\nRowBox[{\"ImageIdentify\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for each identification.", + "ImageInstanceQ":"RowBox[{\"ImageInstanceQ\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] gives True if StyleBox[\"image\", \"TI\"] appears to be an instance of the object StyleBox[\"obj\", \"TI\"], and gives False otherwise.\nRowBox[{\"ImageInstanceQ\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"]}]}], \"]\"}] gives True if StyleBox[\"image\", \"TI\"] appears to be an instance of any of SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]], and gives False otherwise.\nRowBox[{\"ImageInstanceQ\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"]}], \"]\"}] assumes that the image is of something in the specified category.", + "ImageKeypoints":"RowBox[{\"ImageKeypoints\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds key features in StyleBox[\"image\", \"TI\"] and returns their coordinates.\nRowBox[{\"ImageKeypoints\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property StyleBox[\"prop\", \"TI\"] for each keypoint.", + "ImageLevels":"RowBox[{\"ImageLevels\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a list of pixel values and counts for each channel in StyleBox[\"image\", \"TI\"]. \nRowBox[{\"ImageLevels\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] bins pixel values using bin specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"ImageLevels\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] gives counts for bins in the given StyleBox[\"range\", \"TI\"].", + "ImageLines":"RowBox[{\"ImageLines\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds line segments in StyleBox[\"image\", \"TI\"] and returns the coordinates of their endpoints.\nRowBox[{\"ImageLines\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses the threshold StyleBox[\"t\", \"TI\"] for selecting image lines.\nRowBox[{\"ImageLines\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses the parameter StyleBox[\"d\", \"TI\"] to control the distinctness of the detected lines.", + "ImageMargins":"ImageMargins is an option that specifies the absolute margins to leave around the image displayed for an object. ", + "ImageMarker":"RowBox[{\"ImageMarker\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] is a HighlightImage specification that represents a marker at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"ImageMarker\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] represents a custom marker at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"ImageMarker\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents multiple marker positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ImageMeasurements":"RowBox[{\"ImageMeasurements\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of property \"\nStyleBox[\"prop\", \"TI\"]\" for the entire StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageMeasurements\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the values in the specified output StyleBox[\"format\", \"TI\"].\nRowBox[{\"ImageMeasurements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns measurements for all SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ImageMesh":"RowBox[{\"ImageMesh\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns the foreground region in StyleBox[\"image\", \"TI\"] as a BoundaryMeshRegion object.", + "ImageMultiply":"RowBox[{\"ImageMultiply\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] multiplies each channel value in StyleBox[\"image\", \"TI\"] by a factor StyleBox[\"x\", \"TI\"].\nRowBox[{\"ImageMultiply\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is the product of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageMultiply\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] multiplies all SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] with StyleBox[\"image\", \"TI\"], where each SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be either an image, a number, or a color value.", + "ImagePad":"RowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads StyleBox[\"image\", \"TI\"] on all sides with StyleBox[\"m\", \"TI\"] background pixels.\nRowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] pads StyleBox[\"image\", \"TI\"] on all sides using the value or method specified by StyleBox[\"padding\", \"TI\"].\nRowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"bottom\", \"TI\"], \",\", StyleBox[\"top\", \"TI\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads StyleBox[\"image\", \"TI\"] with the specified numbers of pixels on each side.\nRowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"front\", \"TI\"], \",\", StyleBox[\"back\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"bottom\", \"TI\"], \",\", StyleBox[\"top\", \"TI\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads a 3D image with the specified numbers of pixels.", + "ImagePadding":"ImagePadding is an option for graphics functions that specifies what absolute extra padding should be left for extended objects such as thick lines and annotations such as tick and axis labels.", + "ImagePartition":"RowBox[{\"ImagePartition\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] partitions an image into an array of StyleBox[\"s\", \"TI\"]StyleBox[\"s\", \"TI\"]-pixel subimages.\nRowBox[{\"ImagePartition\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] partitions an image into an array of subimages of pixel width StyleBox[\"w\", \"TI\"] and pixel height StyleBox[\"h\", \"TI\"].\nRowBox[{\"ImagePartition\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dw\", \"TI\"], \",\", StyleBox[\"dh\", \"TI\"]}], \"}\"}]}], \"]\"}] uses pixel offsets StyleBox[\"dw\", \"TI\"] and StyleBox[\"dh\", \"TI\"].", + "ImagePeriodogram":"RowBox[{\"ImagePeriodogram\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] shows the squared magnitude of the discrete Fourier transform (power spectrum) of StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] shows the average of power spectra of non-overlapping partitions of size StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"].\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.", + "ImagePerspectiveTransformation":"RowBox[{\"ImagePerspectiveTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] applies a linear fractional transform specified by a matrix StyleBox[\"m\", \"TI\"] to the positions of each pixel in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImagePerspectiveTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"tf\", \"TI\"]}], \"]\"}] uses the TransformationFunction given by StyleBox[\"tf\", \"TI\"].\nRowBox[{\"ImagePerspectiveTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", + "ImagePreviewFunction":"ImagePreviewFunction is an option for CurrentImage and similar functions that specifies the function to apply to images before being displayed.", + "ImageQ":"RowBox[{\"ImageQ\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] yields True if StyleBox[\"image\", \"TI\"] has the form of a valid Image or Image3D object, and False otherwise.", + "ImageReflect":"RowBox[{\"ImageReflect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] reverses StyleBox[\"image\", \"TI\"] by top-bottom mirror reflection. \nRowBox[{\"ImageReflect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"side\", \"TI\"]}], \"]\"}] reverses StyleBox[\"image\", \"TI\"] by reflecting it so that the specified side goes to the opposite side.\nRowBox[{\"ImageReflect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] reflects StyleBox[\"image\", \"TI\"] so that SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"1\", \"TR\"]] is interchanged with SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ImageRegion":"ImageRegion is an option for cells that specifies the size and position of the bounding box within which a graphic is rendered.", + "ImageResize":"RowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"width\", \"TI\"]}], \"]\"}] gives a resized version of StyleBox[\"image\", \"TI\"] that is StyleBox[\"width\", \"TI\"] pixels wide.\nRowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] gives a resized version of StyleBox[\"image\", \"TI\"] with a maximum pixel width or height given by StyleBox[\"s\", \"TI\"].\nRowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"width\", \"TI\"], \",\", StyleBox[\"height\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a resized version of StyleBox[\"image\", \"TI\"] that has exactly the specified pixel width and height.\nRowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"width\", \"TI\"], \",\", StyleBox[\"depth\", \"TI\"], \",\", StyleBox[\"height\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a resized version of a 3D image with the specified dimensions.", + "ImageResolution":"ImageResolution is an option for Export, Rasterize, and related functions that specifies at what resolution bitmap images should be rendered. ", + "ImageRestyle":"RowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"sample\", \"TI\"]}], \"]\"}] attempts to restyle StyleBox[\"image\", \"TI\"] so as to follow the graphical style of StyleBox[\"sample\", \"TI\"]. \nRowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"\", StyleBox[\"sample\", \"TI\"]}]}], \"]\"}] uses restyle weighting StyleBox[\"w\", \"TI\"]. \nRowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to restyle StyleBox[\"image\", \"TI\"] using a blend of the graphical styles of the SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses weightings SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ImageRotate":"RowBox[{\"ImageRotate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] rotates StyleBox[\"image\", \"TI\"] by 90° about its center in the x-y plane. \nRowBox[{\"ImageRotate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] rotates StyleBox[\"image\", \"TI\"] by StyleBox[\"θ\", \"TR\"] radians.\nRowBox[{\"ImageRotate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates a 3D image around the 3D vector StyleBox[\"w\", \"TI\"].\nRowBox[{\"ImageRotate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", + "ImageRotated":"ImageRotated is an option for Export that specifies whether images should be rotated into landscape mode. ", + "ImageSaliencyFilter":"RowBox[{\"ImageSaliencyFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns a saliency map for StyleBox[\"image\", \"TI\"].", + "ImageScaled":"RowBox[{\"ImageScaled\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives the position of a graphical object in terms of coordinates scaled to run from 0 to 1 across the whole image region in each direction. \nRowBox[{\"ImageScaled\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a position obtained by starting at ordinary coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], then moving by an image‐scaled offset RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]. ", + "ImageScan":"RowBox[{\"ImageScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"f\", \"TI\"] applied to each pixel of StyleBox[\"image\", \"TI\"] in turn.", + "ImageSize":"ImageSize is an option that specifies the overall size of an image to display for an object. ", + "ImageSizeAction":"ImageSizeAction is an option for Pane and related constructs that specifies what to do if the specified ImageSize setting does not match the size of the contents.", + "ImageSizeMultipliers":"ImageSizeMultipliers is an option that specifies how much smaller to render graphics that appear within other constructs.", + "ImageSubtract":"RowBox[{\"ImageSubtract\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] subtracts a constant amount StyleBox[\"x\", \"TI\"] from each channel value in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageSubtract\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is obtained by subtracting the values of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageSubtract\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] subtracts all SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"image\", \"TI\"], where each SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be either an image, a number, or a color value.", + "ImageTake":"RowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives an image consisting of the first StyleBox[\"n\", \"TI\"] rows of StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives an image consisting of the last StyleBox[\"n\", \"TI\"] rows of StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives rows SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the image that spans SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]] and SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image3d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"slice\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"slice\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the 3D image consisting of the specified slices, rows, and columns.", + "ImageTransformation":"RowBox[{\"ImageTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an image in which each pixel at position StyleBox[\"p\", \"TI\"] corresponds to the position RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", + "ImageTrim":"RowBox[{\"ImageTrim\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"roi\", \"TI\"]}], \"]\"}] gives the smallest subimage of StyleBox[\"image\", \"TI\"] that includes the specified region of interest StyleBox[\"roi\", \"TI\"].\nRowBox[{\"ImageTrim\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"roi\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] adds a margin of size StyleBox[\"r\", \"TI\"] back to the resulting image.\nRowBox[{\"ImageTrim\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] extracts multiple subimages specified by SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"image\", \"TI\"].", + "ImageType":"RowBox[{\"ImageType\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the underlying type of values used for each pixel element in the Image or Image3D object StyleBox[\"image\", \"TI\"].", + "ImageValue":"RowBox[{\"ImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] gives the pixel value of StyleBox[\"image\", \"TI\"] at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"ImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the pixel value converted to the specified type.", + "ImageValuePositions":"RowBox[{\"ImageValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] returns a list of pixel positions in StyleBox[\"image\", \"TI\"] that match the value StyleBox[\"val\", \"TI\"].\nRowBox[{\"ImageValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] returns all pixel positions that have values within a distance StyleBox[\"d\", \"TI\"] from StyleBox[\"val\", \"TI\"].", + "ImagingDevice":"ImagingDevice is an option to specify what device to use for capturing images.", + "ImplicitRegion":"RowBox[{\"ImplicitRegion\", \"[\", RowBox[{StyleBox[\"cond\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a region in SuperscriptBox[\"\", \"n\"] that satisfies the conditions StyleBox[\"cond\", \"TI\"]. \nRowBox[{\"ImplicitRegion\", \"[\", RowBox[{StyleBox[\"cond\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a region in SuperscriptBox[\"\", \"n\"] that satisfies the conditions StyleBox[\"cond\", \"TI\"] as well as RowBox[{SubscriptBox[\"a\", \"1\"], \"≤\", SubscriptBox[\"x\", \"1\"], \"≤\", SubscriptBox[\"b\", \"1\"]}] etc.", + "Implies":"RowBox[{\"Implies\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents the logical implication RowBox[{StyleBox[\"p\", \"TI\"], \"⇒\", StyleBox[\"q\", \"TI\"]}]. ", + "Import":"RowBox[{\"Import\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] imports data from a file, returning a complete StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] version of it.\nRowBox[{\"Import\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements from a file.\nImport[\"http:\/\/StyleBox[\"url\", \"TI\"]\",…] and RowBox[{\"Import\", \"[\", RowBox[{StyleBox[\"\\\"ftp:\/\/\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] import from any accessible URL.", + "ImportAutoReplacements":"ImportAutoReplacements is an option for cells that specifies which replacement rules StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] automatically applies when importing text.", + "ImportByteArray":"RowBox[{\"ImportByteArray\", \"[\", RowBox[{StyleBox[\"ba\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] imports data in the specified format from a ByteArray object.\nRowBox[{\"ImportByteArray\", \"[\", RowBox[{StyleBox[\"ba\", \"TI\"], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements.\nRowBox[{\"ImportByteArray\", \"[\", StyleBox[\"ba\", \"TI\"], \"]\"}] attempts to determine the format automatically.", + "ImportOptions":"ImportOptions is an option for Interpreter and related functions that specifies what options should be used in importing data.", + "ImportString":"RowBox[{\"ImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"data\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] imports data in the specified format from a string. \nRowBox[{\"ImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"data\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements.\nRowBox[{\"ImportString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"data\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine the format of the string from its contents.", + "ImprovementImportance":"RowBox[{\"ImprovementImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the improvement importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"ImprovementImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the improvement importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", + "In":"RowBox[{\"In\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object that is assigned to have a delayed value of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] input line. ", + "Inactivate":"RowBox[{\"Inactivate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces all instances of StyleBox[\"f\", \"TI\"] with RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] for symbols StyleBox[\"f\", \"TI\"] used as heads in StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Inactivate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] inactivates all symbols in StyleBox[\"expr\", \"TI\"] that match the pattern StyleBox[\"patt\", \"TI\"].", + "Inactive":"RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] is an inactive form of StyleBox[\"f\", \"TI\"].", + "IncidenceGraph":"RowBox[{\"IncidenceGraph\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the graph with incidence matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"IncidenceGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and incidence matrix StyleBox[\"m\", \"TI\"].", + "IncidenceList":"RowBox[{\"IncidenceList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a list of edges incident to vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"IncidenceList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of edges incident to vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"IncidenceList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives a list of incident edges StyleBox[\"d\", \"TI\"] steps away.\nRowBox[{\"IncidenceList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "IncidenceMatrix":"RowBox[{\"IncidenceMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the vertex-edge incidence matrix of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"IncidenceMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "IncludeConstantBasis":"IncludeConstantBasis is an option for LinearModelFit and other fitting functions that specifies whether a constant term should be included if not explicitly given in the list of basis functions.", + "IncludeFileExtension":"IncludeFileExtension is an option for notebooks that specifies whether the suffix \".nb\" is automatically appended to a notebook’s name when it is first saved.", + "IncludeGeneratorTasks":"IncludeGeneratorTasks is an option controlling the scope of scheduled task listings.", + "IncludeInflections":"IncludeInflections is an option for linguistic functions that specifies whether inflected forms of words should be included in results.", + "IncludeMetaInformation":"IncludeMetaInformation is an option for Import, Thumbnail, and other functions to specify what types of metadata to include.", + "IncludePods":"IncludePods is an option for WolframAlpha that determines specific pod IDs to include in the results.", + "IncludeQuantities":"IncludeQuantities is an option for DimensionalCombinations for additional quantities to include in the result.", + "IncludeSingularTerm":"IncludeSingularTerm is an option for LerchPhi and Zeta. With RowBox[{\"IncludeSingularTerm\", \" \", \"->\", \" \", \"True\"}], terms involving SuperscriptBox[RowBox[{\"(\", SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"k\", \"TI\"], \" \", \"+\", \" \", StyleBox[\"a\", \"TI\"]}], \")\"}], \"2\"], \")\"}], RowBox[{RowBox[{\"-\", StyleBox[\"s\", \"TI\"]}], \"\/\", \"2\"}]] with RowBox[{RowBox[{StyleBox[\"k\", \"TI\"], \" \", \"+\", \" \", StyleBox[\"a\", \"TI\"]}], \" \", \"==\", \" \", \"0\"}] are included. With RowBox[{\"IncludeSingularTerm\", \" \", \"->\", \" \", \"False\"}], they are not.", + "IncludeWindowTimes":"IncludeWindowTimes is an option to TimeSeriesWindow that specifies whether the endpoints in the time window should be included.", + "Increment":"RowBox[{StyleBox[\"x\", \"TI\"], \"++\"}] increases the value of StyleBox[\"x\", \"TI\"] by 1, returning the old value of StyleBox[\"x\", \"TI\"]. ", + "IndefiniteMatrixQ":"RowBox[{\"IndefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly indefinite, and False otherwise. ", + "IndependenceTest":"RowBox[{\"IndependenceTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"IndependenceTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"IndependenceTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"MR\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "IndependentEdgeSetQ":"RowBox[{\"IndependentEdgeSetQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"elist\", \"TI\"]}], \"]\"}] yields True if the edge list StyleBox[\"elist\", \"TI\"] is an independent edge set of the graph StyleBox[\"g\", \"TI\"], and False otherwise.", + "IndependentPhysicalQuantity":"RowBox[{\"IndependentPhysicalQuantity\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] represents a physical quantity StyleBox[\"string\", \"TI\"] with no relationship to other physical quantities used in QuantityVariable.", + "IndependentUnit":"RowBox[{\"IndependentUnit\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] represents a unit StyleBox[\"string\", \"TI\"] with no relationship to other units within a Quantity.", + "IndependentUnitDimension":"RowBox[{\"IndependentUnitDimension\", \"[\", StyleBox[\"dim\", \"TI\"], \"]\"}] represents the base dimension StyleBox[\"dim\", \"TI\"] associated with an independent physical quantity or unit.", + "IndependentVertexSetQ":"RowBox[{\"IndependentVertexSetQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"]}], \"]\"}] yields True if the vertex list StyleBox[\"vlist\", \"TI\"] is an independent vertex set in the graph StyleBox[\"g\", \"TI\"], and False otherwise.", + "Indeterminate":"Indeterminate is a symbol that represents a numerical quantity whose magnitude cannot be determined. ", + "IndeterminateThreshold":"IndeterminateThreshold is an option for Classify, Predict, and related functions that specifies below what probability or probability density a result should be considered indeterminate.", + "Indexed":"RowBox[{\"Indexed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] represents the component of StyleBox[\"expr\", \"TI\"] with index StyleBox[\"i\", \"TI\"] and formats as SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Indexed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the component with indices StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], … and formats as SubscriptBox[StyleBox[\"expr\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", \"…\"}]].", + "IndexGraph":"RowBox[{\"IndexGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] replaces the vertices of the graph StyleBox[\"g\", \"TI\"] by its vertex indexes.\nRowBox[{\"IndexGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] replaces the vertices with integers StyleBox[\"r\", \"TI\"], RowBox[{StyleBox[\" \", \"TI\"], RowBox[{StyleBox[\"r\", \"TI\"], \"+\", \"1\"}]}], ….\nRowBox[{\"IndexGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "Inequality":"Inequality represents a sequence of relational statements.", + "InexactNumberQ":"RowBox[{\"InexactNumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is an inexact real or complex number, and returns False otherwise.", + "InfiniteLine":"RowBox[{\"InfiniteLine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents the infinite straight line passing through the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"InfiniteLine\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents the infinite straight line passing through the point StyleBox[\"p\", \"TI\"] in the direction StyleBox[\"v\", \"TI\"]. ", + "InfinitePlane":"RowBox[{\"InfinitePlane\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] represents the plane passing through the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]].\nRowBox[{\"InfinitePlane\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the plane passing through the point StyleBox[\"p\", \"TI\"] in the directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "Infinity":"Infinity or ∞ is a symbol that represents a positive infinite quantity. ", + "Infix":"RowBox[{\"Infix\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] prints with RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] given in default infix form: RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"~\", StyleBox[\"f\", \"TI\"], \"~\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"~\", StyleBox[\"f\", \"TI\"], \"~\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"Infix\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] prints with arguments separated by StyleBox[\"h\", \"TI\"]: RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", StyleBox[\"h\", \"TI\"], \" \", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", StyleBox[\"h\", \"TI\"], \" \", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"3\", \"TR\"]], StyleBox[\"…\", \"TR\"]}]. ", + "InflationAdjust":"RowBox[{\"InflationAdjust\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"targetdate\", \"TI\"]}], \"]\"}] attempts to adjust the specified StyleBox[\"quantity\", \"TI\"] purchasing power to StyleBox[\"targetdate\", \"TI\"].\nRowBox[{\"InflationAdjust\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] uses the current year as StyleBox[\"targetdate\", \"TI\"].\nRowBox[{\"InflationAdjust\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"targetunit\", \"TI\"]}], \"]\"}] converts the currency to StyleBox[\"targetunit\", \"TI\"]StyleBox[\" \", \"TI\"]after adjusting to the current year.\nRowBox[{\"InflationAdjust\", \"[\", RowBox[{StyleBox[\"timeseries\", \"TI\"], \",\", StyleBox[\"targetdate\", \"TI\"]}], \"]\"}] attempts to adjust the specified StyleBox[\"timeseries\", \"TI\"] data purchasing power to StyleBox[\"targetdate\", \"TI\"].", + "InflationMethod":"InflationMethod is an option for InflationAdjust that specifies what time series data is to be used for adjustment in time.", + "Information":"RowBox[{\"Information\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] prints information about a symbol. ", + "Inherited":"Inherited represents an option value to be inherited from an enclosing style, cell, or notebook. ", + "InheritScope":"InheritScope is an option for DynamicModule that specifies whether to attempt to bind variables referenced in the DynamicModule to a parent DynamicModule instance.", + "InhomogeneousPoissonProcess":"RowBox[{\"InhomogeneousPoissonProcess\", \"[\", RowBox[{RowBox[{StyleBox[\"λ\", \"TR\"], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an inhomogeneous Poisson process with intensity RowBox[{StyleBox[\"λ\", \"TR\"], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] given as a function of StyleBox[\"t\", \"TI\"].", + "InitialEvaluationHistory":"InitialEvaluationHistory is an option for functions such as BayesianMinimization that gives an initial set of configurations and values.", + "Initialization":"Initialization is an option for Dynamic, DynamicModule, Manipulate, and related constructs that specifies an expression to be evaluated when the construct is first displayed. ", + "InitializationCell":"InitializationCell is an option for Cell that specifies whether the cell should be tagged to be evaluated by the StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel immediately before the first evaluation performed by the user after the notebook is opened. ", + "InitializationCellEvaluation":"InitializationCellEvaluation is an option for notebooks that specifies whether initialization cells in a notebook are automatically evaluated when the notebook is opened.", + "InitializationCellWarning":"InitializationCellWarning is an option for notebooks that specifies whether a warning should be given when a notebook containing initialization cells is opened.", + "InitializationObjects":"RowBox[{\"InitializationObjects\", \"[\", \"]\"}] gives the list of all persistent initialization objects in all locations in $PersistencePath.\nRowBox[{\"InitializationObjects\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives all persistent initialization objects for symbols matching the string pattern \"StyleBox[\"patt\", \"TI\"]\".\nRowBox[{\"InitializationObjects\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] gives all matching persistent initialization objects in the persistence location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"InitializationObjects\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives all matching persistent initialization objects in all the SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "InitializationValue":"RowBox[{\"InitializationValue\", \"[\", StyleBox[\"sym\", \"TI\"], \"]\"}] represents the settable persistent value with which the symbol StyleBox[\"sym\", \"TI\"] will be initialized.\nRowBox[{\"InitializationValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the settable initialization value for the symbol with the specified complete name.\nRowBox[{\"InitializationValue\", \"[\", RowBox[{StyleBox[\"sym\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the persistence locations to search for a possible initialization value.", + "Initialize":"RowBox[{\"Initialize\", \"[\", StyleBox[\"sym\", \"TI\"], \"]\"}] initializes the symbol StyleBox[\"sym\", \"TI\"] from persistent values on the default persistence path.\nRowBox[{\"Initialize\", \"[\", RowBox[{StyleBox[\"sym\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] initializes the symbol StyleBox[\"sym\", \"TI\"] from persistent values on the persistence path RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"Initialize\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] initializes all variables matching the string pattern \"StyleBox[\"patt\", \"TI\"]\".", + "Inner":"RowBox[{\"Inner\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] is a generalization of Dot in which StyleBox[\"f\", \"TI\"] plays the role of multiplication and StyleBox[\"g\", \"TI\"] of addition. ", + "Inpaint":"RowBox[{\"Inpaint\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"region\", \"TI\"]}], \"]\"}] retouches parts of StyleBox[\"image\", \"TI\"] that correspond to nonzero elements in StyleBox[\"region\", \"TI\"].", + "Input":"RowBox[{\"Input\", \"[\", \"]\"}] interactively reads in one StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression. \nRowBox[{\"Input\", \"[\", StyleBox[\"prompt\", \"TI\"], \"]\"}] requests input, displaying StyleBox[\"prompt\", \"TI\"] as a \"prompt\".\nRowBox[{\"Input\", \"[\", RowBox[{StyleBox[\"prompt\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] in a notebook front end uses StyleBox[\"init\", \"TI\"] as the initial contents of the input field.", + "InputAliases":"InputAliases is an option for cells and notebooks which specifies additional StyleBox[\"Esc\", \"KeyEvent\"]StyleBox[\" \", \"InlineCode\"]StyleBox[\"name\", \"TI\"]StyleBox[\" \", \"InlineCode\"]StyleBox[\"Esc\", \"KeyEvent\"] aliases to be allowed on input. ", + "InputAssumptions":"InputAssumptions is an option for WolframAlpha that specifies assumptions for current query input.", + "InputAutoReplacements":"InputAutoReplacements is an option for cells and notebooks which specifies strings of characters that should be replaced immediately on input. ", + "InputField":"RowBox[{\"InputField\", \"[\", \"]\"}] represents a blank editable input field. \nRowBox[{\"InputField\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents an editable input field that currently contains the expression StyleBox[\"x\", \"TI\"]. \nRowBox[{\"InputField\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the contents of the input field to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if new contents are entered. \nRowBox[{\"InputField\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \"String\"}], \"]\"}] represents an input field whose contents are taken to be a string. \nRowBox[{\"InputField\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \"Number\"}], \"]\"}] represents an input field whose contents are taken to be a number. \nRowBox[{\"InputField\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] represents an input field whose contents are taken to be of the specified type. ", + "InputFieldBoxOptions":"RowBox[{InputFieldBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for InputFieldBox objects.", + "InputForm":"RowBox[{\"InputForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a version of StyleBox[\"expr\", \"TI\"] suitable for input to StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"]. ", + "InputNamePacket":"RowBox[{\"InputNamePacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains in StyleBox[\"string\", \"TI\"] the name to be assigned to the next input.", + "InputNotebook":"RowBox[{\"InputNotebook\", \"[\", \"]\"}] gives the current notebook into which keyboard input in the front end will be directed. ", + "InputPacket":"RowBox[{\"InputPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates a prompt for input as generated by Input.", + "InputStream":"RowBox[{\"InputStream\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is an object that represents an input stream for functions such as Read and Find. ", + "InputString":"RowBox[{\"InputString\", \"[\", \"]\"}] interactively reads in a character string. \nRowBox[{\"InputString\", \"[\", StyleBox[\"prompt\", \"TI\"], \"]\"}] requests input, displaying StyleBox[\"prompt\", \"TI\"] as a \"prompt\". \nRowBox[{\"InputString\", \"[\", RowBox[{StyleBox[\"prompt\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] in a notebook front end uses StyleBox[\"init\", \"TI\"] as the initial contents of the input field.", + "InputStringPacket":"RowBox[{\"InputStringPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that requests input in string form.", + "InputToBoxFormPacket":"InputToBoxFormPacket is an internal symbol used for formatting.", + "Insert":"RowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] inserts StyleBox[\"elem\", \"TI\"] at position StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts StyleBox[\"elem\", \"TI\"] at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts StyleBox[\"elem\", \"TI\"] at several positions. \nRowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"elem\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] represents an operator form of Insert that can be applied to an expression.", + "InsertionFunction":"InsertionFunction is an option for template functions that specifies how expressions are to be processed before they are inserted when the template is applied.", + "InsertLinebreaks":"RowBox[{\"InsertLinebreaks\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] inserts newline characters into StyleBox[\"string\", \"TI\"] to make a string in which no line is longer than 78 characters.\nRowBox[{\"InsertLinebreaks\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] inserts newline characters to make no line longer than StyleBox[\"n\", \"TI\"] characters. ", + "InsertResults":"InsertResults is an option for NotebookEvaluate that determines whether to place the results of evaluation in the notebook being evaluated.", + "Inset":"RowBox[{\"Inset\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] represents an object StyleBox[\"obj\", \"TI\"] inset in a graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] specifies that the inset should be placed at position StyleBox[\"pos\", \"TI\"] in the graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"]}], \"]\"}] aligns the inset so that position StyleBox[\"opos\", \"TI\"] in the object lies at position StyleBox[\"pos\", \"TI\"] in the enclosing graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] specifies the size of the inset in the coordinate system of the enclosing graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"dirs\", \"TI\"]}], \"]\"}] specifies that the axes of the inset should be oriented in directions StyleBox[\"dirs\", \"TI\"]. ", + "Inset3DBoxOptions":"RowBox[{Inset3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Inset3DBox objects.", + "InsetBoxOptions":"RowBox[{InsetBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for InsetBox objects.", + "Insphere":"RowBox[{\"Insphere\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"n\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] returns the largest Sphere that can be inscribed in the simplex (triangle, tetrahedron, etc.) defined by points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] in SuperscriptBox[\"\", \"n\"].", + "Install":"RowBox[{\"Install\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] starts a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]]-compatible external program and installs StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] definitions to call functions in it. ", + "InstallService":"RowBox[{\"InstallService\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] installs the web service operations in the WSDL description at the URL given.\nRowBox[{\"InstallService\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", \" \", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] installs web service operations, creating functions in the specified context.", + "InstanceNormalizationLayer":"RowBox[{\"InstanceNormalizationLayer\", \"[\", \"]\"}] represents a trainable net layer that normalizes its input data across the spatial dimensions.", + "InString":"RowBox[{\"InString\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object that is assigned to be the text of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] input line. ", + "Integer":"Integer is the head used for integers. ", + "IntegerDigits":"RowBox[{\"IntegerDigits\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the decimal digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerDigits\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of the base StyleBox[\"b\", \"TI\"] digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerDigits\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] pads the list on the left with zeros to give a list of length StyleBox[\"len\", \"TI\"]. \nRowBox[{\"IntegerDigits\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"MixedRadix\", \"[\", StyleBox[\"blist\", \"TI\"], \"]\"}]}], \"]\"}] uses the mixed radix with list of bases StyleBox[\"blist\", \"TI\"].", + "IntegerExponent":"RowBox[{\"IntegerExponent\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the highest power of StyleBox[\"b\", \"TI\"] that divides StyleBox[\"n\", \"TI\"]. ", + "IntegerLength":"RowBox[{\"IntegerLength\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of digits in the base 10 representation of the integer StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerLength\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the number of digits in the base StyleBox[\"b\", \"TI\"] representation of StyleBox[\"n\", \"TI\"].", + "IntegerName":"RowBox[{\"IntegerName\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string containing the full English name of the integer StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerName\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"qualifier\", \"TI\"]}], \"]\"}] gives a string conforming to the given qualifications.", + "IntegerPart":"RowBox[{\"IntegerPart\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the integer part of StyleBox[\"x\", \"TI\"]. ", + "IntegerPartitions":"RowBox[{\"IntegerPartitions\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of all possible ways to partition the integer StyleBox[\"n\", \"TI\"] into smaller integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives partitions into at most StyleBox[\"k\", \"TI\"] integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}]}], \"]\"}] gives partitions into exactly StyleBox[\"k\", \"TI\"] integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives partitions into between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]] integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives partitions involving only the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"sspec\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] limits the result to the first StyleBox[\"m\", \"TI\"] partitions. ", + "IntegerQ":"RowBox[{\"IntegerQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is an integer, and False otherwise. ", + "IntegerReverse":"RowBox[{\"IntegerReverse\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the integer whose digits are reversed with respect to those of the integer StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerReverse\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the integer whose digits in base StyleBox[\"b\", \"TI\"] are reversed with respect to those of StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerReverse\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] gives the integer with reversed digits after padding StyleBox[\"n\", \"TI\"] with zeros on the left to have StyleBox[\"len\", \"TI\"] digits.", + "Integers":"Integers represents the domain of integers, as in RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", \"Integers\"}]. ", + "IntegerString":"RowBox[{\"IntegerString\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string consisting of the decimal digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a string consisting of the base-StyleBox[\"b\", \"TI\"] digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] pads the string on the left with zero digits to give a string of length StyleBox[\"len\", \"TI\"]. \nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"MixedRadix\", \"[\", StyleBox[\"blist\", \"TI\"], \"]\"}]}], \"]\"}] uses the mixed radix with a list of bases StyleBox[\"blist\", \"TI\"].\nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"numsys\", \"TI\"]}], \"]\"}] gives the numeral form of StyleBox[\"n\", \"TI\"] based on the numeric system defined by StyleBox[\"numsys\", \"TI\"].", + "Integrate":"RowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the indefinite integral RowBox[{\"∫\", \"f\", \" \", \"d\", \"x\"}]. \nRowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the definite integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", \"TI\"]], SubscriptBox[\"x\", StyleBox[\"max\", \"TI\"]]], \" \", \"f\", \" \", \"d\", \"x\"}]. \nRowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the multiple integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", \"TI\"]], SubscriptBox[\"x\", StyleBox[\"max\", \"TI\"]]], RowBox[{\"d\", \"x\", RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"y\", StyleBox[\"min\", \"TI\"]], SubscriptBox[\"y\", StyleBox[\"max\", \"TI\"]]], RowBox[{\"d\", \"\", \"y\", \" \", \"…\", \" \", \"f\"}]}]}]}]. \nRowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] integrates over the geometric region StyleBox[\"reg\", \"TI\"].", + "Interactive":"Interactive is an option that specifies whether a function should create a user prompt when mimicking an action that would have created a user prompt if invoked manually.", + "InteractiveTradingChart":"RowBox[{\"InteractiveTradingChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"open\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"high\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"low\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"close\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"volume\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a chart showing prices and volume for each date. \nRowBox[{\"InteractiveTradingChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] makes a financial chart for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the StyleBox[\"daterange\", \"TI\"]. \nRowBox[{\"InteractiveTradingChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a financial chart with indicators SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], … . ", + "Interleaving":"Interleaving is an option for Image and related functions that specifies whether data corresponding to different channels in an object such as an image should be interleaved.", + "InternallyBalancedDecomposition":"RowBox[{\"InternallyBalancedDecomposition\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] yields the internally balanced decomposition of the state-space model StyleBox[\"ssm\", \"TI\"].", + "InterpolatingFunction":"RowBox[{\"InterpolatingFunction\", \"[\", RowBox[{StyleBox[\"domain\", \"TI\"], \",\", StyleBox[\"table\", \"TI\"]}], \"]\"}] represents an approximate function whose values are found by interpolation. ", + "InterpolatingPolynomial":"RowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs an interpolating polynomial in StyleBox[\"x\", \"TI\"] which reproduces the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at successive integer values 1, 2, … of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs an interpolating polynomial for the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to StyleBox[\"x\", \"TI\"] values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a multidimensional interpolating polynomial in the variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], ….\nRowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"df\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs an interpolating polynomial that reproduces derivatives as well as function values.", + "Interpolation":"RowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation of the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] values 1, 2, … . \nRowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation of the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to StyleBox[\"x\", \"TI\"] values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation of multidimensional data.\nRowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"df\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation that reproduces derivatives as well as function values.\nRowBox[{\"Interpolation\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] find an interpolation of StyleBox[\"data\", \"TI\"] at the point StyleBox[\"x\", \"TI\"].", + "InterpolationOrder":"InterpolationOrder is an option for Interpolation, as well as ListLinePlot, ListPlot3D, ListContourPlot, and related functions, that specifies what order of interpolation to use.", + "InterpolationPoints":"InterpolationPoints is an option to SmoothKernelDistribution and FunctionInterpolation that specifies the initial number of interpolation points to use. ", + "Interpretation":"RowBox[{\"Interpretation\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an object that displays as StyleBox[\"e\", \"TI\"], but is interpreted as the unevaluated form of StyleBox[\"expr\", \"TI\"] if supplied as input. \nRowBox[{\"Interpretation\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] allows local variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in StyleBox[\"e\", \"TI\"] and StyleBox[\"expr\", \"TI\"].", + "InterpretationBox":"RowBox[{InterpretationBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] is a low-level box construct that displays as StyleBox[\"boxes\", \"TI\"] but is interpreted on input as StyleBox[\"expr\", \"TI\"]. ", + "InterpretationBoxOptions":"InterpretationBoxOptions is an option for selections that specifies settings for InterpretationBox constructs.", + "Interpreter":"RowBox[{\"Interpreter\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an interpreter object that can be applied to an input to try to interpret it as an object of the specified form. \nRowBox[{\"Interpreter\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] returns the interpreted object only if applying StyleBox[\"test\", \"TI\"] to it yields True; otherwise it returns a Failure object.\nRowBox[{\"Interpreter\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"fail\", \"TI\"]}], \"]\"}] returns the result of applying the function StyleBox[\"fail\", \"TI\"] if the test fails.", + "InterpretTemplate":"InterpretTemplate is an experimental function used for interpreting Mathematica input.", + "InterquartileRange":"RowBox[{\"InterquartileRange\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the difference between the upper and lower quartiles for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"InterquartileRange\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the difference between the upper and lower quartiles for the distribution StyleBox[\"dist\", \"TI\"].", + "Interrupt":"RowBox[{\"Interrupt\", \"[\", \"]\"}] generates an interrupt. ", + "IntersectingQ":"RowBox[{\"IntersectingQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] have at least one element in common, and False otherwise.", + "Intersection":"RowBox[{\"Intersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a sorted list of the elements common to all the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Interval":"RowBox[{\"Interval\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] represents the range of values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"]. \nRowBox[{\"Interval\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]], RowBox[{\",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the union of the ranges SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]] to SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", + "IntervalIntersection":"RowBox[{\"IntervalIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the interval representing all points common to each of the SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "IntervalMemberQ":"RowBox[{\"IntervalMemberQ\", \"[\", RowBox[{StyleBox[\"interval\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives True if the number StyleBox[\"x\", \"TI\"] lies within the specified interval, and False otherwise. \nRowBox[{\"IntervalMemberQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives True if SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]] is completely contained within SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]]. ", + "IntervalSlider":"RowBox[{\"IntervalSlider\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"xmin\", \"TI\"], \",\", StyleBox[\"xmax\", \"TI\"]}], \"}\"}], \"]\"}] represents a slider with setting RowBox[{\"{\", RowBox[{StyleBox[\"xmin\", \"TI\"], \",\", StyleBox[\"xmax\", \"TI\"]}], \"}\"}] in the range 0 to 1.\nRowBox[{\"IntervalSlider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"int\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"int\", \"TI\"], with the value of StyleBox[\"int\", \"TI\"] being reset if the slider is moved.\nRowBox[{\"IntervalSlider\", \"[\", RowBox[{StyleBox[\"int\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a slider with range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"IntervalSlider\", \"[\", RowBox[{StyleBox[\"int\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a slider that jumps in steps StyleBox[\"dx\", \"TI\"].", + "IntervalUnion":"RowBox[{\"IntervalUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the interval representing the set of all points in any of the SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Inverse":"RowBox[{\"Inverse\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the inverse of a square matrix StyleBox[\"m\", \"TI\"]. ", + "InverseBetaRegularized":"RowBox[{\"InverseBetaRegularized\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the inverse of the regularized incomplete beta function. ", + "InverseCDF":"RowBox[{\"InverseCDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the inverse of the cumulative distribution function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"q\", \"TI\"].", + "InverseChiSquareDistribution":"RowBox[{\"InverseChiSquareDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents an inverse SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.\nRowBox[{\"InverseChiSquareDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a scaled inverse SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and scale StyleBox[\"ξ\", \"TR\"].", + "InverseContinuousWaveletTransform":"RowBox[{\"InverseContinuousWaveletTransform\", \"[\", StyleBox[\"cwd\", \"TI\"], \"]\"}] gives the inverse continuous wavelet transform of a ContinuousWaveletData object StyleBox[\"cwd\", \"TI\"]. \nRowBox[{\"InverseContinuousWaveletTransform\", \"[\", StyleBox[RowBox[{\"cwd\", \",\", \"wave\"}], \"TI\"], \"]\"}] gives the inverse transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"InverseContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"cwd\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"octvoc\", \"TI\"]}], \"]\"}] gives the inverse transform from the wavelet coefficients specified by StyleBox[\"octvoc\", \"TI\"].", + "InverseDistanceTransform":"RowBox[{\"InverseDistanceTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the inverse distance transform of StyleBox[\"image\", \"TI\"], returning the result as a binary image.", + "InverseEllipticNomeQ":"RowBox[{\"InverseEllipticNomeQ\", \"[\", StyleBox[\"q\", \"TI\"], \"]\"}] gives the parameter StyleBox[\"m\", \"TI\"] corresponding to the nome StyleBox[\"q\", \"TI\"] in an elliptic function. ", + "InverseErf":"RowBox[{\"InverseErf\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the inverse error function obtained as the solution for StyleBox[\"z\", \"TI\"] in RowBox[{StyleBox[\"s\", \"TI\"], \"=\", RowBox[{\"erf\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]}]. ", + "InverseErfc":"RowBox[{\"InverseErfc\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the inverse complementary error function obtained as the solution for StyleBox[\"z\", \"TI\"] in RowBox[{StyleBox[\"s\", \"TI\"], \"=\", RowBox[{\"erfc\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]}]. ", + "InverseFourier":"RowBox[{\"InverseFourier\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the discrete inverse Fourier transform of a list of complex numbers.\nRowBox[{\"InverseFourier\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the specified positions of the discrete inverse Fourier transform. ", + "InverseFourierCosTransform":"RowBox[{\"InverseFourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic inverse Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseFourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. ", + "InverseFourierSequenceTransform":"RowBox[{\"InverseFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the inverse discrete-time Fourier transform of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"InverseFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier sequence transform.", + "InverseFourierSinTransform":"RowBox[{\"InverseFourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic inverse Fourier sine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseFourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier sine transform of StyleBox[\"expr\", \"TI\"]. ", + "InverseFourierTransform":"RowBox[{\"InverseFourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"ω\", \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic inverse Fourier transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseFourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[\"ω\", StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[\"ω\", StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier transform of StyleBox[\"expr\", \"TI\"]. ", + "InverseFunction":"RowBox[{\"InverseFunction\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents the inverse of the function StyleBox[\"f\", \"TI\"], defined so that RowBox[{RowBox[{\"InverseFunction\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] gives the value of StyleBox[\"x\", \"TI\"] for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is equal to StyleBox[\"y\", \"TI\"]. \nRowBox[{\"InverseFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"tot\", \"TI\"]}], \"]\"}] represents the inverse with respect to the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] argument when there are StyleBox[\"tot\", \"TI\"] arguments in all. ", + "InverseFunctions":"InverseFunctions is an option for Solve and related functions that specifies whether inverse functions should be used. ", + "InverseGammaDistribution":"RowBox[{\"InverseGammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents an inverse gamma distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"InverseGammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a generalized inverse gamma distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"γ\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", + "InverseGammaRegularized":"RowBox[{\"InverseGammaRegularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the inverse of the regularized incomplete gamma function. ", + "InverseGaussianDistribution":"RowBox[{\"InverseGaussianDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents an inverse Gaussian distribution with mean StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"λ\", \"TR\"].\nRowBox[{\"InverseGaussianDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] represents a generalized inverse Gaussian distribution with parameters StyleBox[\"μ\", \"TR\"], StyleBox[\"λ\", \"TR\"], and StyleBox[\"θ\", \"TR\"].", + "InverseGudermannian":"RowBox[{\"InverseGudermannian\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse Gudermannian function RowBox[{SuperscriptBox[\"gd\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "InverseHankelTransform":"RowBox[{\"InverseHankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the inverse Hankel transform of order 0 for StyleBox[\"expr\", \"TI\"].\nRowBox[{\"InverseHankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] gives the inverse Hankel transform of order StyleBox[\"ν\", \"TR\"] for StyleBox[\"expr\", \"TI\"].", + "InverseHaversine":"RowBox[{\"InverseHaversine\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse haversine function RowBox[{SuperscriptBox[\"hav\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "InverseJacobiCD":"RowBox[{\"InverseJacobiCD\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"cd\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiCN":"RowBox[{\"InverseJacobiCN\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"cn\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiCS":"RowBox[{\"InverseJacobiCS\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"cs\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiDC":"RowBox[{\"InverseJacobiDC\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"dc\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiDN":"RowBox[{\"InverseJacobiDN\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"dn\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiDS":"RowBox[{\"InverseJacobiDS\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"ds\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiNC":"RowBox[{\"InverseJacobiNC\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"nc\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiND":"RowBox[{\"InverseJacobiND\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"nd\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiNS":"RowBox[{\"InverseJacobiNS\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"ns\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiSC":"RowBox[{\"InverseJacobiSC\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"sc\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiSD":"RowBox[{\"InverseJacobiSD\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"sd\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseJacobiSN":"RowBox[{\"InverseJacobiSN\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"sn\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", + "InverseLaplaceTransform":"RowBox[{\"InverseLaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the inverse Laplace transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseLaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Laplace transform of StyleBox[\"expr\", \"TI\"]. ", + "InverseMellinTransform":"RowBox[{\"InverseMellinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the inverse Mellin transform of StyleBox[\"expr\", \"TI\"]. ", + "InversePermutation":"RowBox[{\"InversePermutation\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the inverse of permutation StyleBox[\"perm\", \"TI\"].", + "InverseRadon":"RowBox[{\"InverseRadon\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the inverse discrete Radon transform of StyleBox[\"image\", \"TI\"].\nRowBox[{\"InverseRadon\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], StyleBox[RowBox[{\"w\", \",\", \"h\"}], \"TI\"], \"}\"}]}], \"]\"}] specifies the width StyleBox[\"w\", \"TI\"] and the height StyleBox[\"h\", \"TI\"] of the resulting image.", + "InverseRadonTransform":"RowBox[{\"InverseRadonTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the inverse Radon transform of StyleBox[\"expr\", \"TI\"].", + "InverseSeries":"RowBox[{\"InverseSeries\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] takes the series StyleBox[\"s\", \"TI\"], and gives a series for the inverse of the function represented by StyleBox[\"s\", \"TI\"]. \nRowBox[{\"InverseSeries\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] uses the variable StyleBox[\"x\", \"TI\"] in the inverse series.", + "InverseSurvivalFunction":"RowBox[{\"InverseSurvivalFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the inverse of the survival function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"q\", \"TI\"].", + "InverseTransformedRegion":"RowBox[{\"InverseTransformedRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the inverse transformed region RowBox[{\"{\", RowBox[{RowBox[{\"p\", \"∈\", SuperscriptBox[\"\", \"n\"]}], \"|\", RowBox[{RowBox[{\"f\", \"(\", \"p\", \")\"}], \"∈\", StyleBox[\"reg\", FontSlant -> \"Italic\"]}]}], \"}\"}], where StyleBox[\"reg\", \"TI\"] is a region and StyleBox[\"f\", \"TI\"] is a function. ", + "InverseWaveletTransform":"RowBox[{\"InverseWaveletTransform\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] gives the inverse wavelet transform of a DiscreteWaveletData object StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"InverseWaveletTransform\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the inverse transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"InverseWaveletTransform\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] gives the inverse transform from the wavelet coefficients specified by StyleBox[\"wind\", \"TI\"].", + "InverseWeierstrassP":"RowBox[{\"InverseWeierstrassP\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a value of StyleBox[\"u\", \"TI\"] for which the Weierstrass function RowBox[{\"℘\", RowBox[{\"(\", RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]}] is equal to StyleBox[\"p\", \"TI\"]. ", + "InverseWishartMatrixDistribution":"RowBox[{\"InverseWishartMatrixDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TI\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents an inverse Wishart matrix distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and covariance matrix StyleBox[\"Σ\", \"TR\"].", + "InverseZTransform":"RowBox[{\"InverseZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the inverse Z transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multiple inverse Z transform of StyleBox[\"expr\", \"TI\"].", + "Invisible":"RowBox[{\"Invisible\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as space that is the same size as the formatted version of StyleBox[\"expr\", \"TI\"].", + "IPAddress":"RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a symbolic representation of an IPv4 or IPv6 IP address.", + "IrreduciblePolynomialQ":"RowBox[{\"IrreduciblePolynomialQ\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is an irreducible polynomial over the rationals.\nRowBox[{\"IrreduciblePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is irreducible modulo a prime StyleBox[\"p\", \"TI\"].\nRowBox[{\"IrreduciblePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Extension\", \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is irreducible over the field extension generated by the algebraic numbers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"IrreduciblePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Extension\", \"\", \"All\"}]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is absolutely irreducible over the complex numbers.", + "IslandData":"RowBox[{\"IslandData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the island StyleBox[\"entity\", \"TI\"].\nRowBox[{\"IslandData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified island entities.\nRowBox[{\"IslandData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "IsolatingInterval":"RowBox[{\"IsolatingInterval\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives a rational isolating interval for the algebraic number StyleBox[\"a\", \"TI\"].\nRowBox[{\"IsolatingInterval\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] gives an isolating interval of width at most StyleBox[\"dx\", \"TI\"].", + "IsomorphicGraphQ":"RowBox[{\"IsomorphicGraphQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]] are isomorphic, and False otherwise.", + "IsotopeData":"RowBox[{\"IsotopeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"Z\", \"TI\"], \",\", StyleBox[\"A\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the isotope with atomic number StyleBox[\"Z\", \"TI\"] and mass number StyleBox[\"A\", \"TI\"].\nRowBox[{\"IsotopeData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the property for the named isotope.", + "Italic":"Italic represents an italic font slant.", + "Item":"RowBox[{\"Item\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents an item within constructs such as Grid, Overlay, and Manipulate that displays with StyleBox[\"expr\", \"TI\"] as the content, and with the specified options applied to the region containing StyleBox[\"expr\", \"TI\"]. ", + "ItemAspectRatio":"ItemAspectRatio is an option for GraphicsGrid which specifies the ratio of height to width for the regions in which items are placed in the graphics grid.", + "ItemBoxOptions":"RowBox[{ItemBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ItemBox objects.", + "ItemSize":"ItemSize is an option for Grid, Column, and related constructs that specifies the sizes to allow for items.", + "ItemStyle":"ItemStyle is an option for Grid, Column, and related constructs that specifies styles to use for items.", + "ItoProcess":"RowBox[{\"ItoProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an Ito process RowBox[{\"x\", \"(\", \"t\", \")\"}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \".\", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}]}]}]}]}].\nRowBox[{\"ItoProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an Ito process RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"\", RowBox[{\"c\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}]}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \".\", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}], \" \"}]}]}]}].\nRowBox[{\"ItoProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] uses initial condition RowBox[{RowBox[{\"x\", \"(\", SubscriptBox[\"t\", \"0\"], \")\"}], \"\", SubscriptBox[\"x\", \"0\"]}].\nRowBox[{\"ItoProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] uses a Wiener process RowBox[{\"w\", \"(\", \"t\", \")\"}], with covariance StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"ItoProcess\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] converts StyleBox[\"proc\", \"TI\"] to a standard Ito process whenever possible. \nRowBox[{\"ItoProcess\", \"[\", RowBox[{StyleBox[\"sdeqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"\", StyleBox[\"dproc\", \"TI\"]}]}], \"]\"}] represents an Ito process specified by a stochastic differential equation StyleBox[\"sdeqns\", \"TI\"], output expression StyleBox[\"expr\", \"TI\"], with state StyleBox[\"x\", \"TI\"] and time StyleBox[\"t\", \"TI\"], driven by StyleBox[\"w\", \"TI\"] following the process StyleBox[\"dproc\", \"TI\"]. ", + "JaccardDissimilarity":"RowBox[{\"JaccardDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Jaccard dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "JacobiAmplitude":"RowBox[{\"JacobiAmplitude\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the amplitude RowBox[{\"am\", \"(\", RowBox[{\"u\", \"\", \"m\"}], \")\"}] for Jacobi elliptic functions. ", + "Jacobian":"Jacobian is an option for FindRoot. RowBox[{\"Jacobian\", \" \", \"->\", \" \", \"Automatic\"}] attempts symbolic computation of the Jacobian of the system of functions whose root is being sought. A typical setting is RowBox[{\"Jacobian\", \" \", \"->\", \" \", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"2\", \" \", StyleBox[\"x\", \"TI\"]}], \",\", \" \", RowBox[{\"Sign\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}]}], \"}\"}], \",\", \" \", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", \" \", StyleBox[\"x\", \"TI\"]}], \"}\"}]}], \"}\"}]}].", + "JacobiCD":"RowBox[{\"JacobiCD\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"cd\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiCN":"RowBox[{\"JacobiCN\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"cn\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiCS":"RowBox[{\"JacobiCS\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"cs\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiDC":"RowBox[{\"JacobiDC\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"dc\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiDN":"RowBox[{\"JacobiDN\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"dn\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiDS":"RowBox[{\"JacobiDS\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"ds\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiNC":"RowBox[{\"JacobiNC\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"nc\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiND":"RowBox[{\"JacobiND\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"nd\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiNS":"RowBox[{\"JacobiNS\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"ns\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiP":"RowBox[{\"JacobiP\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Jacobi polynomial RowBox[{SubsuperscriptBox[StyleBox[\"P\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "JacobiSC":"RowBox[{\"JacobiSC\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"sc\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiSD":"RowBox[{\"JacobiSD\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"sd\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiSN":"RowBox[{\"JacobiSN\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"sn\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", + "JacobiSymbol":"RowBox[{\"JacobiSymbol\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi symbol RowBox[{\"(\", FractionBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \")\"}]. ", + "JacobiZeta":"RowBox[{\"JacobiZeta\", \"[\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi zeta function RowBox[{\"Z\", \"(\", RowBox[{\"ϕ\", \"\", \"m\"}], \")\"}]. ", + "JankoGroupJ1":"RowBox[{\"JankoGroupJ1\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"1\"].", + "JankoGroupJ2":"RowBox[{\"JankoGroupJ2\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"2\"].", + "JankoGroupJ3":"RowBox[{\"JankoGroupJ3\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"3\"].", + "JankoGroupJ4":"RowBox[{\"JankoGroupJ4\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"4\"].", + "JarqueBeraALMTest":"RowBox[{\"JarqueBeraALMTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Jarque–Bera ALM test.\nRowBox[{\"JarqueBeraALMTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "JohnsonDistribution":"RowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SB\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a bounded Johnson distribution with shape parameters StyleBox[\"γ\", \"TR\"], StyleBox[\"δ\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SL\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a semi-bounded Johnson distribution.\nRowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SU\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents an unbounded Johnson distribution.\nRowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SN\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a normal Johnson distribution.", + "Join":"RowBox[{\"Join\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] concatenates lists or other expressions that share the same head.\nRowBox[{\"Join\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] joins the objects at level StyleBox[\"n\", \"TI\"] in each of the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "JoinAcross":"RowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] gives a list of associations obtained by joining those pairs of associations SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]] in which the values associated with StyleBox[\"key\", \"TI\"] are the same. \nRowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] joins pairs of associations only when the values associated with all keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the same.\nRowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"a\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"b\", \"TI\"]]}]}], \"]\"}] joins pairs of associations SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]] in which the values associated with SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"a\", \"TI\"]] in the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the same as those associated with SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"b\", \"TI\"]] in the SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \"\", SubscriptBox[StyleBox[\"key\", \"TI\"], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] joins pairs of associations in which pairs of corresponding values agree.\nRowBox[{\"JoinAcross\", \"[\", RowBox[{StyleBox[\"alist\", \"TI\"], \",\", StyleBox[\"blist\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"jspec\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses StyleBox[\"jspec\", \"TI\"] to determine when to allow associations that contain missing elements to be generated.", + "Joined":"Joined is an option for ListPlot and related functions that specifies whether points in each dataset should be joined into a line, or should be plotted as separate points. ", + "JoinedCurve":"RowBox[{\"JoinedCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a curve consisting of SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]] followed by SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]] etc. \nRowBox[{\"JoinedCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a list of separate component curves SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", + "JoinedCurveBoxOptions":"RowBox[{JoinedCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for JoinedCurveBox objects.", + "JoinForm":"RowBox[{\"JoinForm\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] is a graphics directive that specifies what type of joins should be used to connect segments of lines, tubes, edges, and related primitives.", + "JordanDecomposition":"RowBox[{\"JordanDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] yields the Jordan decomposition of a square matrix StyleBox[\"m\", \"TI\"]. The result is a list RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}] where StyleBox[\"s\", \"TI\"] is a similarity matrix and StyleBox[\"j\", \"TI\"] is the Jordan canonical form of StyleBox[\"m\", \"TI\"].", + "JordanModelDecomposition":"RowBox[{\"JordanModelDecomposition\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] yields the Jordan decomposition of the state-space model StyleBox[\"ssm\", \"TI\"]. ", + "JulianDate":"RowBox[{\"JulianDate\", \"[\", \"]\"}] gives the current number of days since noon on November 24, 4714 BCE in the GMT time zone. \nRowBox[{\"JulianDate\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the number of days for the specified date.\nRowBox[{\"JulianDate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the Julian date variant of the specified type.\nRowBox[{\"JulianDate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the variant for the specified date.", + "JuliaSetBoettcher":"RowBox[{\"JuliaSetBoettcher\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives an approximation of the Böttcher function of StyleBox[\"z\", \"TI\"], which maps the complement of the Julia set conformally to the complement of the closed unit disk.", + "JuliaSetIterationCount":"RowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] returns the number of iterations, beginning with the complex number RowBox[{StyleBox[\"z\", \"TI\"], \"\", StyleBox[\"p\", \"TI\"]}], of the function RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] needed to determine whether StyleBox[\"p\", \"TI\"] is in the Julia set of StyleBox[\"f\", \"TI\"].\nRowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] returns the number of iterations, beginning with the complex number RowBox[{StyleBox[\"z\", \"TI\"], \"\", StyleBox[\"p\", \"TI\"]}], of the function RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}] needed to determine whether StyleBox[\"p\", \"TI\"] is in the Julia set of RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}].\nRowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of the number of iterations required to determine whether each member of RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is in the Julia set of StyleBox[\"f\", \"TI\"].\nRowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of the number of iterations required to determine whether each member of RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is in the Julia set of RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}].", + "JuliaSetPlot":"RowBox[{\"JuliaSetPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] plots the Julia set of the rational function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"z\", \"TI\"].\nRowBox[{\"JuliaSetPlot\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] plots the Julia set of the function RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}]. ", + "JuliaSetPoints":"RowBox[{\"JuliaSetPoints\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] returns a list of coordinates approximating the real and imaginary parts of the complex numbers in the Julia set of the rational function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"z\", \"TI\"].\nRowBox[{\"JuliaSetPoints\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] returns a list of coordinates of points approximating the Julia set of the function RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}].", + "K":"K is a default generic name for a summation index in a symbolic sum.", + "KagiChart":"RowBox[{\"KagiChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a Kagi chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"KagiChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a Kagi chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"KagiChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"rt\", \"TI\"]}], \"]\"}] makes a Kagi chart with reversal threshold StyleBox[\"rt\", \"TI\"].", + "KaiserBesselWindow":"RowBox[{\"KaiserBesselWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Kaiser–Bessel window function of StyleBox[\"x\", \"TI\"].", + "KaiserWindow":"RowBox[{\"KaiserWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Kaiser window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"KaiserWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "KalmanEstimator":"RowBox[{\"KalmanEstimator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] constructs the Kalman estimator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] with process and measurement noise covariance matrices StyleBox[\"w\", \"TI\"] and StyleBox[\"v\", \"TI\"]. \nRowBox[{\"KalmanEstimator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the cross-covariance matrix StyleBox[\"h\", \"TI\"].\nRowBox[{\"KalmanEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the noisy measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"KalmanEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", + "KalmanFilter":"RowBox[{\"KalmanFilter\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] using the time series model given by StyleBox[\"tproc\", \"TI\"].", + "KarhunenLoeveDecomposition":"RowBox[{\"KarhunenLoeveDecomposition\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the Karhunen–Loeve transform RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}] of the numerical arrays RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], where RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}]. \nRowBox[{\"KarhunenLoeveDecomposition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] uses the inverse of the matrix StyleBox[\"m\", \"TI\"] for transforming SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "KaryTree":"RowBox[{\"KaryTree\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a binary tree with StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"KaryTree\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a StyleBox[\"k\", \"TI\"]-ary tree with StyleBox[\"n\", \"TI\"] vertices.", + "KatzCentrality":"RowBox[{\"KatzCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives a list of Katz centralities for the vertices in the graph StyleBox[\"g\", \"TI\"] and weight StyleBox[\"α\", \"TR\"].\nRowBox[{\"KatzCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] gives a list of Katz centralities using weight StyleBox[\"α\", \"TR\"] and initial centralities StyleBox[\"β\", \"TR\"].\nRowBox[{\"KatzCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "KCoreComponents":"RowBox[{\"KCoreComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-core components of the underlying simple graph of StyleBox[\"g\", \"TI\"].\nRowBox[{\"KCoreComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-core components with vertex in-degrees at least StyleBox[\"k\", \"TI\"].\nRowBox[{\"KCoreComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-core components with vertex out-degrees at least StyleBox[\"k\", \"TI\"].\nRowBox[{\"KCoreComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "KDistribution":"RowBox[{\"KDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a K distribution with shape parameters StyleBox[\"ν\", \"TR\"] and StyleBox[\"w\", \"TI\"].", + "KEdgeConnectedComponents":"RowBox[{\"KEdgeConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-edge-connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"KEdgeConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-edge-connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"KEdgeConnectedComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "KEdgeConnectedGraphQ":"RowBox[{\"KEdgeConnectedGraphQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is StyleBox[\"k\", \"TI\"]-edge-connected and False otherwise.", + "KelvinBei":"RowBox[{\"KelvinBei\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"bei\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinBei\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"bei\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "KelvinBer":"RowBox[{\"KelvinBer\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"ber\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinBer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"ber\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "KelvinKei":"RowBox[{\"KelvinKei\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"kei\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinKei\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"kei\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "KelvinKer":"RowBox[{\"KelvinKer\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"ker\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinKer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"ker\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "KendallTau":"RowBox[{\"KendallTau\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Kendall's rank correlation coefficient τ for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"KendallTau\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Kendall's rank correlation coefficients τ for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"KendallTau\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Kendall's rank correlation coefficients τ for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"KendallTau\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives Kendall's rank correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"KendallTau\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] Kendall rank correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", + "KendallTauTest":"RowBox[{\"KendallTauTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"KendallTauTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"KendallTauTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"MR\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "KernelMixtureDistribution":"RowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a kernel mixture distribution based on the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate kernel mixture distribution based on data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"]}], \"]\"}] represents a kernel mixture distribution with bandwidth StyleBox[\"bw\", \"TI\"].\nRowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] represents a kernel mixture distribution with bandwidth StyleBox[\"bw\", \"TI\"] and smoothing kernel StyleBox[\"ker\", \"TI\"].", + "Kernels":"RowBox[{\"Kernels\", \"[\", \"]\"}] gives the list of running kernels available for parallel computing.", + "Key":"RowBox[{\"Key\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] represents a key used to access a value in an association.\nRowBox[{RowBox[{\"Key\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}], \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] extracts the value corresponding to StyleBox[\"key\", \"TI\"] in the association StyleBox[\"assoc\", \"TI\"].", + "KeyCollisionFunction":"KeyCollisionFunction is an option for JoinAcross that specifies how to handle pairs of elements that are not being joined but nevertheless have the same key.", + "KeyComplement":"RowBox[{\"KeyComplement\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"all\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an association in which only elements whose keys appear in SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"all\", \"TI\"]] but not in any of the SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] are retained.", + "KeyDrop":"RowBox[{\"KeyDrop\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields an association from which elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] have been dropped. \nRowBox[{\"KeyDrop\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"keys\", \"TI\"]}], \"]\"}] gives a list of associations.\nRowBox[{\"KeyDrop\", \"[\", StyleBox[\"keys\", \"TI\"], \"]\"}] represents an operator form of KeyDrop that can be applied to an expression.", + "KeyDropFrom":"RowBox[{\"KeyDropFrom\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] changes the association StyleBox[\"a\", \"TI\"] by dropping the element with the specified key.\nRowBox[{\"KeyDropFrom\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] drops the elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "KeyExistsQ":"RowBox[{\"KeyExistsQ\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] returns True if the specified StyleBox[\"key\", \"TI\"] exists in the association StyleBox[\"assoc\", \"TI\"], and False otherwise.\nRowBox[{\"KeyExistsQ\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] represents an operator form of KeyExistsQ that can be applied to an expression.", + "KeyFreeQ":"RowBox[{\"KeyFreeQ\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] yields True if no key in the association StyleBox[\"assoc\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and yields False otherwise.\nRowBox[{\"KeyFreeQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of KeyFreeQ that can be applied to an expression.", + "KeyIntersection":"RowBox[{\"KeyIntersection\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of associations in which only elements whose keys appear in all the SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] are retained.", + "KeyMap":"RowBox[{\"KeyMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] maps StyleBox[\"f\", \"TI\"] over the keys in an association, giving RowBox[{\"\", RowBox[{RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"KeyMap\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of KeyMap that can be applied to an expression.", + "KeyMemberQ":"RowBox[{\"KeyMemberQ\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] yields True if a key in the association StyleBox[\"assoc\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and False otherwise.\nRowBox[{\"KeyMemberQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of KeyMemberQ that can be applied to an expression.", + "KeypointStrength":"KeypointStrength is an option for ImageKeypoints and related functions to specify a minimum strength of detected keypoints.", + "Keys":"RowBox[{\"Keys\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a list of the keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] in an association.\nRowBox[{\"Keys\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a list of rules.", + "KeySelect":"RowBox[{\"KeySelect\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] selects elements in the association StyleBox[\"assoc\", \"TI\"] for which StyleBox[\"crit\", \"TI\"] applied to their keys is True.\nRowBox[{\"KeySelect\", \"[\", StyleBox[\"crit\", \"TI\"], \"]\"}] represents an operator form of KeySelect that can be applied to an expression.", + "KeySort":"RowBox[{\"KeySort\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] orders the elements of an association by sorting its keys.", + "KeySortBy":"RowBox[{\"KeySortBy\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] sorts the elements of an association in the order defined by applying StyleBox[\"f\", \"TI\"] to each of their keys.\nRowBox[{\"KeySortBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of KeySortBy that can be applied to an expression.", + "KeyTake":"RowBox[{\"KeyTake\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields an association containing only the elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"KeyTake\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"keys\", \"TI\"]}], \"]\"}] gives a list of associations.\nRowBox[{\"KeyTake\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an operator form of KeyTake that can be applied to an expression.", + "KeyUnion":"RowBox[{\"KeyUnion\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of associations in which each association has the union of the keys of the SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]], padding by inserting values of RowBox[{\"Missing\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] if necessary.\nRowBox[{\"KeyUnion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] uses RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] as the value associated with a missing key. ", + "KeyValueMap":"RowBox[{\"KeyValueMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"KeyValueMap\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of KeyValueMap that can be applied to an expression.", + "KeyValuePattern":"RowBox[{\"KeyValuePattern\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a pattern object that represents an association or list of rules that includes elements matching each of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Khinchin":"Khinchin is Khinchin's constant, with numerical value RowBox[{\"≃\", \"2.68545\"}]. ", + "KillProcess":"RowBox[{\"KillProcess\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] kills the external process represented by the ProcessObject StyleBox[\"proc\", \"TI\"].", + "KirchhoffGraph":"RowBox[{\"KirchhoffGraph\", \"[\", StyleBox[\"kmat\", \"TI\"], \"]\"}] gives the graph with Kirchhoff matrix StyleBox[\"kmat\", \"TI\"].\nRowBox[{\"KirchhoffGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"kmat\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and Kirchhoff matrix StyleBox[\"kmat\", \"TI\"].", + "KirchhoffMatrix":"RowBox[{\"KirchhoffMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the Kirchhoff matrix of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"KirchhoffMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "KleinInvariantJ":"RowBox[{\"KleinInvariantJ\", \"[\", StyleBox[\"τ\", \"TR\"], \"]\"}] gives the Klein invariant modular elliptic function RowBox[{\"J\", \"(\", \"τ\", \")\"}]. ", + "KnapsackSolve":"RowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"]\"}] solves the knapsack problem of finding the maximum number of items associated with each of the SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"i\", \"TI\"]], subject to the constraint that the total cost is not larger than StyleBox[\"maxtotalcost\", \"TI\"].\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"payoff\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"payoff\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"]\"}] finds a number of items that maximizes the total payoff, while satisfying the constraint on the total cost.\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"payoff\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"maxcount\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"]\"}] allows at most SubscriptBox[StyleBox[\"maxcount\", \"TI\"], StyleBox[\"i\", \"TI\"]] copies of item StyleBox[\"i\", \"TI\"].\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{StyleBox[\"items\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"maxtotalpayoff\", \"TI\"], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"}\"}]}], \"]\"}] finds a result that gives a total payoff not larger than StyleBox[\"maxtotalpayoff\", \"TI\"].\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{StyleBox[\"items\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"maxtotalpayoff\", \"TI\"], \",\", StyleBox[\"maxtotalcost\", \"TI\"], \",\", StyleBox[\"maxtotalcount\", \"TI\"]}], \"}\"}]}], \"]\"}] adds the constraint of having no more than StyleBox[\"maxtotalcount\", \"TI\"] items in total. \nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"itemspec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", StyleBox[\"maxtotals\", \"TI\"]}], \"]\"}] labels each type of item and gives the result as an association.", + "KnightTourGraph":"RowBox[{\"KnightTourGraph\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a Knight's tour graph on an StyleBox[\"m\", \"TI\"]StyleBox[\"n\", \"TI\"] chessboard.", + "KnotData":"RowBox[{\"KnotData\", \"[\", RowBox[{StyleBox[\"knot\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a knot.\nRowBox[{\"KnotData\", \"[\", StyleBox[\"knot\", \"TI\"], \"]\"}] gives an image of the knot.\nRowBox[{\"KnotData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of knots in the specified class.", + "KnownUnitQ":"RowBox[{\"KnownUnitQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a canonical unit, and False otherwise.", + "KochCurve":"RowBox[{\"KochCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Koch curve.\nRowBox[{\"KochCurve\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes a series of steps of unit length at successive relative angles SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"KochCurve\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes successive steps of lengths proportional to SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "KolmogorovSmirnovTest":"RowBox[{\"KolmogorovSmirnovTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Kolmogorov–Smirnov test.\nRowBox[{\"KolmogorovSmirnovTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Kolmogorov–Smirnov test.\nRowBox[{\"KolmogorovSmirnovTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "KroneckerDelta":"RowBox[{\"KroneckerDelta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the Kronecker delta SubscriptBox[\"δ\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \" \", SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \" \", \"…\"}]], equal to 1 if all the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] are equal, and 0 otherwise. ", + "KroneckerModelDecomposition":"RowBox[{\"KroneckerModelDecomposition\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] yields the Kronecker decomposition of a descriptor state-space model StyleBox[\"ssm\", \"TI\"]. ", + "KroneckerProduct":"RowBox[{\"KroneckerProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] constructs the Kronecker product of the arrays SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "KroneckerSymbol":"RowBox[{\"KroneckerSymbol\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Kronecker symbol RowBox[{\"(\", FractionBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \")\"}]. ", + "KuiperTest":"RowBox[{\"KuiperTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Kuiper test.\nRowBox[{\"KuiperTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Kuiper test.\nRowBox[{\"KuiperTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "KumaraswamyDistribution":"RowBox[{\"KumaraswamyDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Kumaraswamy distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].", + "Kurtosis":"RowBox[{\"Kurtosis\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the coefficient of kurtosis for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Kurtosis\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the coefficient of kurtosis for the distribution StyleBox[\"dist\", \"TI\"].", + "KuwaharaFilter":"RowBox[{\"KuwaharaFilter\", \"[\", StyleBox[RowBox[{\"data\", \",\", \"r\"}], \"TI\"], StyleBox[\"]\", \"TI\"]}] computes for each element StyleBox[\"p\", \"TI\"] in StyleBox[\"data\", \"TI\"] the variance of the values in the four RowBox[{RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", \"1\"}], \")\"}], \"×\", RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", \"1\"}], \")\"}]}] squares that have StyleBox[\"p\", \"TI\"] as a corner, and replaces StyleBox[\"p\", \"TI\"] with the mean of the values of the square with least variance.", + "KVertexConnectedComponents":"RowBox[{\"KVertexConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-vertex-connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"KVertexConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-vertex-connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", + "KVertexConnectedGraphQ":"RowBox[{\"KVertexConnectedGraphQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is StyleBox[\"k\", \"TI\"]-vertex-connected and False otherwise.", + "LABColor":"RowBox[{\"LABColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] is a color directive with lightness StyleBox[\"l\", \"TI\"] and color components StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. \nRowBox[{\"LABColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", + "Label":"RowBox[{\"Label\", \"[\", StyleBox[\"tag\", \"TI\"], \"]\"}] represents a point in a compound expression to which control can be transferred using Goto. ", + "Labeled":"RowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"lbl\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] labeled with StyleBox[\"lbl\", \"TI\"]. \nRowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"lbl\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places StyleBox[\"lbl\", \"TI\"] at a position specified by StyleBox[\"pos\", \"TI\"]. \nRowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] places the SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] at positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"4\", \"TR\"]]}], \"}\"}], \",\", \"All\"}], \"]\"}] places the SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the bottom, left, top, and right, respectively. ", + "LabelingFunction":"LabelingFunction is an option for data visualization functions to automatically label elements of a visualization.", + "LabelingSize":"LabelingSize is an option to visualization functions that specifies the size to be used for labels and callouts.", + "LabelStyle":"LabelStyle is an option for formatting and related constructs that specifies the style to use in displaying their label-like elements. ", + "LaguerreL":"RowBox[{\"LaguerreL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Laguerre polynomial RowBox[{SubscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. \nRowBox[{\"LaguerreL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the generalized Laguerre polynomial RowBox[{SubsuperscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"a\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "LakeData":"RowBox[{\"LakeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the lake StyleBox[\"entity\", \"TI\"].\nRowBox[{\"LakeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified lake entities.\nRowBox[{\"LakeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "LambdaComponents":"RowBox[{\"LambdaComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the lambda components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LambdaComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the lambda components that include at least one of the vertices RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"LambdaComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "LaminaData":"RowBox[{\"LaminaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the lamina StyleBox[\"entity\", \"TI\"].\nRowBox[{\"LaminaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified lamina entities.\nRowBox[{\"LaminaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "LanczosWindow":"RowBox[{\"LanczosWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Lanczos window function of StyleBox[\"x\", \"TI\"].", + "LandauDistribution":"RowBox[{\"LandauDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Landau distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"LandauDistribution\", \"[\", \"]\"}] represents a Landau distribution with location parameter 0 and scale parameter 1.", + "Language":"Language is an option that specifies the language to use.", + "LanguageCategory":"LanguageCategory is an option for Cell that determines in what category of language the contents of the cell should be assumed to be for purposes of spell checking and hyphenation. ", + "LanguageData":"RowBox[{\"LanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the language StyleBox[\"entity\", \"TI\"].\nRowBox[{\"LanguageData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified language entities.\nRowBox[{\"LanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "LanguageIdentify":"RowBox[{\"LanguageIdentify\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine what human language text in StyleBox[\"string\", \"TI\"] is in, predominantly.", + "LaplaceDistribution":"RowBox[{\"LaplaceDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Laplace double-exponential distribution with mean StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"LaplaceDistribution\", \"[\", \"]\"}] represents a Laplace double-exponential distribution with mean 0 and scale parameter 1.", + "LaplaceTransform":"RowBox[{\"LaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Laplace transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"LaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Laplace transform of StyleBox[\"expr\", \"TI\"]. ", + "Laplacian":"RowBox[{\"Laplacian\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the Laplacian RowBox[{RowBox[{RowBox[{SuperscriptBox[\"∂\", \"2\"], StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SuperscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \"2\"]}]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", RowBox[{RowBox[{SuperscriptBox[\"∂\", \"2\"], StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SuperscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"2\"]}]}]}].\nRowBox[{\"Laplacian\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the Laplacian in the given coordinates StyleBox[\"chart\", \"TI\"].", + "LaplacianFilter":"RowBox[{\"LaplacianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] convolves StyleBox[\"data\", \"TI\"] with a radius-StyleBox[\"r\", \"TI\"] Laplacian kernel.\nRowBox[{\"LaplacianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in StyleBox[\"data\", \"TI\"].", + "LaplacianGaussianFilter":"RowBox[{\"LaplacianGaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] convolves StyleBox[\"data\", \"TI\"] with a Laplacian of Gaussian kernel of pixel radius StyleBox[\"r\", \"TI\"].\nRowBox[{RowBox[{\"LaplacianGaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}]}], \"]\"}], \" \"}] convolves StyleBox[\"data\", \"TI\"] with a Laplacian of Gaussian kernel of radius StyleBox[\"r\", \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].", + "Large":"Large is a style or option setting that specifies that objects should be large.", + "Larger":"Larger is a style or option setting that specifies that objects should be larger.", + "Last":"RowBox[{\"Last\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the last element in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Last\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] gives the last element if there are any elements, or StyleBox[\"def\", \"TI\"] otherwise.", + "Latitude":"RowBox[{\"Latitude\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] gives the latitude in degrees of a geographic position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Latitude\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] gives the latitude referring to the specified geodetic datum.", + "LatitudeLongitude":"RowBox[{\"LatitudeLongitude\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] gives a list of the latitude and longitude in degrees of a geographic position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"LatitudeLongitude\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] gives the latitude and longitude referring to the specified geodetic datum.", + "LatticeData":"RowBox[{\"LatticeData\", \"[\", RowBox[{StyleBox[\"lattice\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a lattice.\nRowBox[{\"LatticeData\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of named lattices of dimension StyleBox[\"n\", \"TI\"].", + "LatticeReduce":"RowBox[{\"LatticeReduce\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a reduced basis for the set of vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Launch":"Launch is a setting for the LinkMode option of LinkOpen. LinkMode->Launch causes a link to be created by launching another program.", + "LaunchKernels":"RowBox[{\"LaunchKernels\", \"[\", \"]\"}] launches all currently configured parallel subkernels.\nRowBox[{\"LaunchKernels\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] launches StyleBox[\"n\", \"TI\"] local subkernels on the current computer.\nRowBox[{\"LaunchKernels\", \"[\", StyleBox[\"ker\", \"TI\"], \"]\"}] launches the kernel specified by StyleBox[\"ker\", \"TI\"].\nRowBox[{\"LaunchKernels\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] launches the kernels SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "LayeredGraphPlot":"RowBox[{\"LayeredGraphPlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a layered plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LayeredGraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a layered plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"LayeredGraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"LayeredGraphPlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places the dominant vertices in the plot at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"LayeredGraphPlot\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a layered plot of the graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", + "LayerSizeFunction":"LayerSizeFunction is an option for TreePlot that gives a function to specify the relative height to allow for each layer.", + "LCHColor":"RowBox[{\"LCHColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] is a color directive with lightness StyleBox[\"l\", \"TI\"], chroma StyleBox[\"c\", \"TI\"], and hue StyleBox[\"h\", \"TI\"].\nRowBox[{\"LCHColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", + "LCM":"RowBox[{\"LCM\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the least common multiple of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "LeaderSize":"LeaderSize is an option for Callout that specifies what sizes to use for leader lines.", + "LeafCount":"RowBox[{\"LeafCount\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the total number of indivisible subexpressions in StyleBox[\"expr\", \"TI\"]. ", + "LeapYearQ":"RowBox[{\"LeapYearQ\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] returns True if the year corresponding to StyleBox[\"date\", \"TI\"] is a leap year.", + "LearningRateMultipliers":"LearningRateMultipliers is an option for NetTrain that specifies learning rate multipliers to apply to specific layers within a NetChain, NetGraph, etc.", + "LeastSquares":"RowBox[{\"LeastSquares\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] finds an StyleBox[\"x\", \"TI\"] that solves the linear least-squares problem for the matrix equation RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"==\", StyleBox[\"b\", \"TI\"]}].", + "LeastSquaresFilterKernel":"RowBox[{\"LeastSquaresFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[RowBox[{\"k\", StyleBox[\"-\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a StyleBox[\"k\", \"TI\"]-band finite impulse response (FIR) filter kernel of length StyleBox[\"n\", \"TI\"] designed using a least squares method, given the specified frequencies SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"i\", \"TI\"]] and amplitudes SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LeastSquaresFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses the full filter specification RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}].", + "Left":"Left is a symbol that represents the left-hand side for purposes of alignment and positioning. ", + "LeftArrow":"RowBox[{\"LeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"←\", StyleBox[\"y\", \"TI\"], \"←\", StyleBox[\"…\", \"TR\"]}].", + "LeftArrowBar":"RowBox[{\"LeftArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇤\", StyleBox[\"y\", \"TI\"], \"⇤\", StyleBox[\"…\", \"TR\"]}].", + "LeftArrowRightArrow":"RowBox[{\"LeftArrowRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇆\", StyleBox[\"y\", \"TI\"], \"⇆\", StyleBox[\"…\", \"TR\"]}].", + "LeftDownTeeVector":"RowBox[{\"LeftDownTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥡\", StyleBox[\"y\", \"TI\"], \"⥡\", StyleBox[\"…\", \"TR\"]}].", + "LeftDownVector":"RowBox[{\"LeftDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇃\", StyleBox[\"y\", \"TI\"], \"⇃\", StyleBox[\"…\", \"TR\"]}].", + "LeftDownVectorBar":"RowBox[{\"LeftDownVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥙\", StyleBox[\"y\", \"TI\"], \"⥙\", StyleBox[\"…\", \"TR\"]}].", + "LeftRightArrow":"RowBox[{\"LeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↔\", StyleBox[\"y\", \"TI\"], \"↔\", StyleBox[\"…\", \"TR\"]}].", + "LeftRightVector":"RowBox[{\"LeftRightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥎\", StyleBox[\"y\", \"TI\"], \"⥎\", StyleBox[\"…\", \"TR\"]}].", + "LeftTee":"RowBox[{\"LeftTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊣\", \"y\"}].", + "LeftTeeArrow":"RowBox[{\"LeftTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↤\", StyleBox[\"y\", \"TI\"], \"↤\", StyleBox[\"…\", \"TR\"]}].", + "LeftTeeVector":"RowBox[{\"LeftTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥚\", StyleBox[\"y\", \"TI\"], \"⥚\", StyleBox[\"…\", \"TR\"]}].", + "LeftTriangle":"RowBox[{\"LeftTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊲\", StyleBox[\"y\", \"TI\"], \"⊲\", StyleBox[\"…\", \"TR\"]}].", + "LeftTriangleBar":"RowBox[{\"LeftTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⧏\", StyleBox[\"y\", \"TI\"], \"⧏\", StyleBox[\"…\", \"TR\"]}].", + "LeftTriangleEqual":"RowBox[{\"LeftTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊴\", StyleBox[\"y\", \"TI\"], \"⊴\", StyleBox[\"…\", \"TR\"]}].", + "LeftUpDownVector":"RowBox[{\"LeftUpDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥑\", StyleBox[\"y\", \"TI\"], \"⥑\", StyleBox[\"…\", \"TR\"]}].", + "LeftUpTeeVector":"RowBox[{\"LeftUpTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥠\", StyleBox[\"y\", \"TI\"], \"⥠\", StyleBox[\"…\", \"TR\"]}].", + "LeftUpVector":"RowBox[{\"LeftUpVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↿\", StyleBox[\"y\", \"TI\"], \"↿\", StyleBox[\"…\", \"TR\"]}].", + "LeftUpVectorBar":"RowBox[{\"LeftUpVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥘\", StyleBox[\"y\", \"TI\"], \"⥘\", StyleBox[\"…\", \"TR\"]}].", + "LeftVector":"RowBox[{\"LeftVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↼\", StyleBox[\"y\", \"TI\"], \"↼\", StyleBox[\"…\", \"TR\"]}].", + "LeftVectorBar":"RowBox[{\"LeftVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥒\", StyleBox[\"y\", \"TI\"], \"⥒\", StyleBox[\"…\", \"TR\"]}].", + "LegendAppearance":"LegendAppearance is an option for charting functions that specifies the appearance of any legends that are generated.", + "Legended":"RowBox[{\"Legended\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"leg\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] with legend StyleBox[\"leg\", \"TI\"]. \nRowBox[{\"Legended\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"lbl\", \"TI\"]}], \"]\"}] indicates in plotting and charting functions that a legend entry for StyleBox[\"expr\", \"TI\"] should be created, with label StyleBox[\"lbl\", \"TI\"].", + "LegendFunction":"LegendFunction is an option for legends that specifies an overall function to apply to the generated legend.", + "LegendLabel":"LegendLabel is an option for legends that specifies an overall label for a legend.", + "LegendLayout":"LegendLayout is an option for legends that specifies how to format the legend content.", + "LegendMargins":"LegendMargins is an option for legends that specifies the margins to leave around the legend.", + "LegendMarkers":"LegendMarkers is an option for legends such as PointLegend that specifies markers for each element.", + "LegendMarkerSize":"LegendMarkerSize is an option for legends such as PointLegend that specifies the size of marker regions for each element.", + "LegendreP":"RowBox[{\"LegendreP\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Legendre polynomial RowBox[{SubscriptBox[StyleBox[\"P\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. \nRowBox[{\"LegendreP\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the associated Legendre polynomial RowBox[{SubsuperscriptBox[StyleBox[\"P\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", + "LegendreQ":"RowBox[{\"LegendreQ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Legendre function of the second kind RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"LegendreQ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the associated Legendre function of the second kind RowBox[{SubsuperscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "Length":"RowBox[{\"Length\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the number of elements in StyleBox[\"expr\", \"TI\"]. ", + "LengthWhile":"RowBox[{\"LengthWhile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] gives the number of contiguous elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] starting at the beginning of StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.", + "LerchPhi":"RowBox[{\"LerchPhi\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the Lerch transcendent RowBox[{StyleBox[\"Φ\", \"TR\"], RowBox[{\"(\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}]}]. ", + "Less":"RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"y\", \"TI\"]}] yields True if x is determined to be less than y. \nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[\"x\", \"i\"] form a strictly increasing sequence. ", + "LessEqual":"RowBox[{StyleBox[\"x\", \"TI\"], \"<=\", StyleBox[\"y\", \"TI\"]}] or RowBox[{StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"y\", \"TI\"]}] yields True if StyleBox[\"x\", \"TI\"] is determined to be less than or equal to StyleBox[\"y\", \"TI\"].\nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]] form a nondecreasing sequence. ", + "LessEqualGreater":"RowBox[{\"LessEqualGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⋚\", \"y\", \"⋚\", \"…\"}].", + "LessEqualThan":"RowBox[{\"LessEqualThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"].", + "LessFullEqual":"RowBox[{\"LessFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≦\", \"y\", \"≦\", \"…\"}].", + "LessGreater":"RowBox[{\"LessGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≶\", \"y\", \"≶\", \"…\"}].", + "LessLess":"RowBox[{\"LessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≪\", \"y\", \"≪\", \"…\"}].", + "LessSlantEqual":"RowBox[{\"LessSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⩽\", \"y\", \"⩽\", \"…\"}].", + "LessThan":"RowBox[{\"LessThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"].", + "LessTilde":"RowBox[{\"LessTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≲\", \"y\", \"≲\", \"…\"}].", + "LetterCharacter":"LetterCharacter represents a letter character in StringExpression.", + "LetterCounts":"RowBox[{\"LetterCounts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an association whose keys are the distinct letters in StyleBox[\"string\", \"TI\"], and whose values give the number of times those letters appear in StyleBox[\"string\", \"TI\"].\nRowBox[{\"LetterCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives counts of the distinct StyleBox[\"n\", \"TI\"]-grams consisting of runs of StyleBox[\"n\", \"TI\"] letters in StyleBox[\"string\", \"TI\"].\nRowBox[{\"LetterCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] allows the characters SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] to appear in StyleBox[\"n\", \"TI\"]-grams, in addition to ordinary letters.", + "LetterNumber":"RowBox[{\"LetterNumber\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the position of the character StyleBox[\"c\", \"TI\"] in the English alphabet.\nRowBox[{\"LetterNumber\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"alpha\", \"TI\"]}], \"]\"}] gives the position of StyleBox[\"c\", \"TI\"] in the alphabet specified by StyleBox[\"alpha\", \"TI\"].\nRowBox[{\"LetterNumber\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a list of the positions of characters in StyleBox[\"string\", \"TI\"].", + "LetterQ":"RowBox[{\"LetterQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are letters, and yields False otherwise. ", + "Level":"RowBox[{\"Level\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives a list of all subexpressions of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Level\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the sequence of subexpressions. ", + "LeveneTest":"RowBox[{\"LeveneTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of StyleBox[\"data\", \"TI\"] is 1. \nRowBox[{\"LeveneTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are equal.\nRowBox[{\"LeveneTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"LeveneTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "LeviCivitaTensor":"RowBox[{\"LeviCivitaTensor\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] gives the StyleBox[\"d\", \"TI\"]-dimensional Levi-Civita totally antisymmetric tensor.", + "LevyDistribution":"RowBox[{\"LevyDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Lévy distribution with location parameter StyleBox[\"μ\", \"TR\"] and dispersion parameter StyleBox[\"σ\", \"TR\"].", + "LibraryDataType":"RowBox[{\"LibraryDataType\", \"[\", StyleBox[\"datatype\", \"TI\"], \"]\"}] specifies the data type for a LibraryFunction argument or result to be StyleBox[\"datatype\", \"TI\"].\nRowBox[{\"LibraryDataType\", \"[\", RowBox[{StyleBox[\"datatype\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"]}], \"]\"}] specifies an element type StyleBox[\"etype\", \"TI\"] for data structures.\nRowBox[{\"LibraryDataType\", \"[\", RowBox[{StyleBox[\"datatype\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] specifies an array depth StyleBox[\"d\", \"TI\"] for array data types.", + "LibraryFunction":"RowBox[{\"LibraryFunction\", \"[\", \" \", StyleBox[\"args\", \"TI\"], \"]\"}] represents a function that has been loaded from a Wolfram Library.", + "LibraryFunctionError":"RowBox[{\"LibraryFunctionError\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"code\", \"TI\"]}], \"]\"}] represents an error returned from a LibraryFunction.", + "LibraryFunctionInformation":"RowBox[{\"LibraryFunctionInformation\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] returns information about a LibraryFunctionStyleBox[\".\", \"MR\"]", + "LibraryFunctionLoad":"RowBox[{\"LibraryFunctionLoad\", \"[\", RowBox[{StyleBox[\"lib\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", StyleBox[\"argtype\", \"TI\"], \",\", StyleBox[\"rettype\", \"TI\"]}], \"]\"}] loads Wolfram Library StyleBox[\"lib\", \"TI\"] and makes the library function StyleBox[\"fun\", \"TI\"] available in StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"].", + "LibraryFunctionUnload":"RowBox[{\"LibraryFunctionUnload\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] unloads a LibraryFunction so that it cannot be used.", + "LibraryLoad":"RowBox[{\"LibraryLoad\", \"[\", StyleBox[\"lib\", \"TI\"], \"]\"}] loads the dynamic library StyleBox[\"lib\", \"TI\"] into the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] runtime.", + "LibraryUnload":"RowBox[{\"LibraryUnload\", \"[\", StyleBox[\"lib\", \"TI\"], \"]\"}] unloads all functions that have been loaded from a Wolfram Library, then it unloads the library.", + "LicenseID":"LicenseID is an option to Encode which specifies the required value of $LicenseID on the computer that reads the encoded file. If no value is specified, any value of $LicenseID is allowed on the file-reading computer. A setting for LicenseID must be a string.", + "LiftingFilterData":"RowBox[{\"LiftingFilterData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents lifting-filter data used to compute forward and inverse lifting wavelet transforms.", + "LiftingWaveletTransform":"RowBox[{\"LiftingWaveletTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the lifting wavelet transform (LWT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"LiftingWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the lifting wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"LiftingWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the lifting wavelet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", + "LightBlue":"LightBlue represents a light blue color in graphics or style specifications.", + "LightBrown":"LightBrown represents a light brown color in graphics or style specifications.", + "LightCyan":"LightCyan represents a light cyan color in graphics or style specifications.", + "Lighter":"RowBox[{\"Lighter\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a lighter version of the specified color. \nRowBox[{\"Lighter\", \"[\", RowBox[{StyleBox[\"color\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a version of the specified color lightened by a fraction StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Lighter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a lighter version of an image.", + "LightGray":"LightGray represents a light gray color in graphics or style specifications.", + "LightGreen":"LightGreen represents a light green color in graphics or style specifications.", + "Lighting":"Lighting is an option for Graphics3D and related functions that specifies what simulated lighting to use in coloring 3D surfaces. ", + "LightingAngle":"LightingAngle is an option for ReliefPlot and related functions that specifies the angle from which simulated illumination is taken to come.", + "LightMagenta":"LightMagenta represents a light magenta color in graphics or style specifications.", + "LightOrange":"LightOrange represents a light orange color in graphics or style specifications.", + "LightPink":"LightPink represents a light pink color in graphics or style specifications.", + "LightPurple":"LightPurple represents a light purple color in graphics or style specifications.", + "LightRed":"LightRed represents a light red color in graphics or style specifications.", + "LightSources":"LightSources is an option for Graphics3D and related functions that specifies the properties of point light sources for simulated illumination. ", + "LightYellow":"LightYellow represents a light yellow color in graphics or style specifications.", + "Likelihood":"RowBox[{\"Likelihood\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the likelihood function for observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Likelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the likelihood function for the observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the process StyleBox[\"proc\", \"TI\"].\nRowBox[{\"Likelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the likelihood function for observations from SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the process StyleBox[\"proc\", \"TI\"].", + "Limit":"RowBox[{\"Limit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives the limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"x\", \")\"}]}], \"TI\"]}]. \nRowBox[{\"Limit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}]}]}]. \nRowBox[{\"Limit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]}], \"]\"}] gives the multivariate limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}].", + "LimitsPositioning":"LimitsPositioning is an option for UnderoverscriptBox and related boxes that specifies whether to change the positioning of underscripts and overscripts in the way conventional for limits. ", + "LimitsPositioningTokens":"LimitsPositioningTokens is an option for selections that specifies a set of characters for which the option LimitsPositioning is set to True by default.", + "LindleyDistribution":"RowBox[{\"LindleyDistribution\", \"[\", StyleBox[\"δ\", \"TR\"], \"]\"}] represents a Lindley distribution with shape parameter StyleBox[\"δ\", \"TR\"].", + "Line":"RowBox[{\"Line\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the line segments joining a sequence for points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Line\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of lines. ", + "Line3DBoxOptions":"RowBox[{Line3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Line3DBox objects.", + "LinearFractionalTransform":"RowBox[{\"LinearFractionalTransform\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a TransformationFunction that represents a linear fractional transformation defined by the homogeneous matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"LinearFractionalTransform\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}] represents a linear fractional transformation that maps StyleBox[\"r\", \"TI\"] to RowBox[{RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"b\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"d\", \"TI\"]}], \")\"}]}]. ", + "LinearGradientImage":"RowBox[{\"LinearGradientImage\", \"[\", StyleBox[\"gcol\", \"TI\"], \"]\"}] returns an image with values linearly changing from left to right based on gradient color StyleBox[\"gcol\", \"TI\"].\nRowBox[{\"LinearGradientImage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"gcol\", \"TI\"]}], \"]\"}] returns an image where the gradient starts at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]] and ends at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"LinearGradientImage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] returns a linear gradient image of the specified StyleBox[\"size\", \"TI\"].", + "LinearizingTransformationData":"RowBox[{\"LinearizingTransformationData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents data of an AffineStateSpaceModel linearized by functions such as FeedbackLinearize and StateTransformationLinearize using transformation of variables.", + "LinearLayer":"RowBox[{\"LinearLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable, fully connected net layer that computes RowBox[{RowBox[{\"w\", \".\", \"x\"}], \"+\", \"b\"}] with output vector of size StyleBox[\"n\", \"TI\"]. \nRowBox[{\"LinearLayer\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a layer that outputs a tensor of dimensions RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"LinearLayer\", \"[\", \"]\"}] leaves the dimensions of the output tensor to be inferred from context.\nRowBox[{\"LinearLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial weights and other parameters. ", + "LinearModelFit":"RowBox[{\"LinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a linear model of the form RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, ….\nRowBox[{\"LinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a linear model of the form RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]]. \nRowBox[{\"LinearModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a linear model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", + "LinearOffsetFunction":"LinearOffsetFunction is an option for linear and generalized linear model fitting functions that specifies a component for the model that is to be assumed known.", + "LinearProgramming":"RowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] finds a vector StyleBox[\"x\", \"TI\"] that minimizes the quantity RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \"≥\", StyleBox[\"b\", \"TI\"]}] and RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", \"0\"}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds a vector StyleBox[\"x\", \"TI\"] that minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", \"0\"}] and linear constraints specified by the matrix StyleBox[\"m\", \"TI\"] and the pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}]. For each row SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] of StyleBox[\"m\", \"TI\"], the corresponding constraint is RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], \".\", StyleBox[\"x\", \"TI\"]}], \"≥\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] if RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"==\", \"1\"}], or RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], \".\", StyleBox[\"x\", \"TI\"]}], \"==\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] if RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"==\", \"0\"}], or RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], \".\", StyleBox[\"x\", \"TI\"]}], \"≤\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] if RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"==\", RowBox[{\"-\", \"1\"}]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints specified by StyleBox[\"m\", \"TI\"] and StyleBox[\"b\", \"TI\"] and RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", StyleBox[\"l\", \"TI\"]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints specified by StyleBox[\"m\", \"TI\"] and StyleBox[\"b\", \"TI\"] and RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"≥\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints specified by StyleBox[\"m\", \"TI\"] and StyleBox[\"b\", \"TI\"] and RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"≤\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"≤\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"lu\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] takes the elements of StyleBox[\"x\", \"TI\"] to be in the domain StyleBox[\"dom\", \"TI\"], either Reals or Integers.\nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"lu\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dom\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dom\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] to be in the domain SubscriptBox[StyleBox[\"dom\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "LinearRecurrence":"RowBox[{\"LinearRecurrence\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the sequence of length StyleBox[\"n\", \"TI\"] obtained by iterating the linear recurrence with kernel StyleBox[\"ker\", \"TI\"] starting with initial values StyleBox[\"init\", \"TI\"].\nRowBox[{\"LinearRecurrence\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term.\nRowBox[{\"LinearRecurrence\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] yields terms SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "LinearSolve":"RowBox[{\"LinearSolve\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] finds an StyleBox[\"x\", \"TI\"] that solves the matrix equation RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"==\", StyleBox[\"b\", \"TI\"]}]. \nRowBox[{\"LinearSolve\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a RowBox[{\"LinearSolveFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"b\", \"TI\"]. ", + "LinearSolveFunction":"RowBox[{\"LinearSolveFunction\", \"[\", RowBox[{StyleBox[\"dimensions\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a function for providing solutions to a matrix equation. ", + "LineBoxOptions":"RowBox[{LineBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for LineBox objects.", + "LinebreakAdjustments":"LinebreakAdjustments is an option for selections that sets parameters used for calculating where automatic line breaks should be inserted.", + "LineBreakChart":"RowBox[{\"LineBreakChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a line break chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LineBreakChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a line break chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"LineBreakChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a line break chart where StyleBox[\"n\", \"TI\"] bars in a row cause a reversal.", + "LineBreakWithin":"LineBreakWithin is an option for selections that specifies whether line breaks occur automatically when the end of a line is reached.", + "LineGraph":"RowBox[{\"LineGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the line graph of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LineGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "LineIndent":"LineIndent is an option for Style and Cell that specifies how many ems of indentation to add at the beginnings of lines for each level of nesting in an expression. ", + "LineIndentMaxFraction":"LineIndentMaxFraction is an option for Cell, StyleBox, and Style that specifies the maximum fraction of the total page width to indent at the beginnings of lines. ", + "LineIntegralConvolutionPlot":"RowBox[{\"LineIntegralConvolutionPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"image\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a line integral convolution plot of StyleBox[\"image\", \"TI\"] convolved with the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"].\nRowBox[{\"LineIntegralConvolutionPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a line integral convolution plot of white noise with the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}].", + "LineIntegralConvolutionScale":"LineIntegralConvolutionScale is an option to LineIntegralConvolutionPlot and related functions that determines the scale of the line integral convolution to be used.", + "LineLegend":"RowBox[{\"LineLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a legend that associates color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] with label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LineLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"Automatic\"}], \"]\"}] generates a legend with placeholder labels for the colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LineLegend\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a legend with inherited colors within visualization functions.", + "LineSpacing":"LineSpacing is an option for Style and Cell that specifies the spacing between successive lines of text. ", + "LinkActivate":"RowBox[{\"LinkActivate\", \"[\", StyleBox[\"lnk\", \"TI\"], \"]\"}] activates a WSTP connection, waiting for the program at the other end to respond.", + "LinkClose":"RowBox[{\"LinkClose\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] closes an open StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. ", + "LinkConnect":"RowBox[{\"LinkConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] connects to a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link created by another program. ", + "LinkCreate":"RowBox[{\"LinkCreate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link with the specified name for another program to connect to. \nRowBox[{\"LinkCreate\", \"[\", \"]\"}] creates a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link and picks an unused name for the link.", + "LinkError":"RowBox[{\"LinkError\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] returns error information for link in the form RowBox[{\"{\", \" \", RowBox[{StyleBox[\"errorNumber\", \"TI\"], \",\", \" \", StyleBox[\"errorExplanation\", \"TI\"]}], \" \", \"}\"}].", + "LinkFlush":"RowBox[{\"LinkFlush\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] transmits immediately any locally buffered outgoing expressions.", + "LinkFunction":"LinkFunction is an option for GeneralizedLinearModelFit that specifies the link function for the generalized linear model.", + "LinkHost":"LinkHost is an option for LinkOpen that specifies on what computer a program should be launched or on what computer a listening link will be found.", + "LinkInterrupt":"RowBox[{\"LinkInterrupt\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] sends an interrupt to the program at the other end of the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. ", + "LinkLaunch":"RowBox[{\"LinkLaunch\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prog\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] starts the external program StyleBox[\"prog\", \"TI\"] and opens a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection to it. ", + "LinkMode":"LinkMode is an option for LinkOpen that specifies how the link is to be established and connected. The possible settings for LinkMode are Launch, Listen, Connect, and Loopback.", + "LinkObject":"RowBox[{\"LinkObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] is an object that represents an active StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection for functions such as LinkRead and LinkWrite. ", + "LinkOpen":"LinkOpen[\"prog\"] starts the external program prog and opens a MathLink connection to it.", + "LinkPatterns":"RowBox[{\"LinkPatterns\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] gives a list of the patterns for which definitions were set up when the external program associated with the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection was installed. ", + "LinkProtocol":"LinkProtocol is an option to LinkLaunch, Install, and related functions that specifies the underlying data transport protocol to use for a new StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link. ", + "LinkRankCentrality":"RowBox[{\"LinkRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives the link-rank centralities for edges in the graph StyleBox[\"g\", \"TI\"] and weight StyleBox[\"α\", \"TR\"].\nRowBox[{\"LinkRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] gives the link-rank centralities, using weight StyleBox[\"α\", \"TR\"] and initial vertex page-rank centralities StyleBox[\"β\", \"TR\"].\nRowBox[{\"LinkRankCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "LinkRead":"RowBox[{\"LinkRead\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] reads one expression from the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. \nRowBox[{\"LinkRead\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps StyleBox[\"h\", \"TI\"] around the expression read before evaluating it. ", + "LinkReadHeld":"RowBox[{\"LinkReadHeld\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] reads an expression via StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> \"MathLink\"] from StyleBox[\"link\", \"TI\"] and returns it wrapped in Hold.", + "LinkReadyQ":"RowBox[{\"LinkReadyQ\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] tests whether there is an expression ready to read from the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. \nRowBox[{\"LinkReadyQ\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] waits for up to StyleBox[\"t\", \"TI\"] seconds to see if an expression becomes ready to read.\nRowBox[{\"LinkReadyQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"link\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"link\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] tests all the SubscriptBox[StyleBox[\"link\", \"TI\"], StyleBox[\"i\", \"TI\"]] in parallel, returning as soon as any of them are ready to read from.", + "Links":"RowBox[{\"Links\", \"[\", \"]\"}] gives a list of all StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connections that are currently open. \nRowBox[{\"Links\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] lists only links whose names match the specified string pattern.", + "LinkService":"LinkService[\"service\", l] is an object that represents an active connection to the WSTP service.", + "LinkWrite":"RowBox[{\"LinkWrite\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. ", + "LinkWriteHeld":"RowBox[{\"LinkWriteHeld\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", \" \", RowBox[{\"Hold\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \",\", \" \", RowBox[{\"(\", RowBox[{StyleBox[\"flush\", \"TI\"], \":\", \"True\"}], \")\"}]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] (without the Hold) via StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> \"MathLink\"] to link (synchronizing unless StyleBox[\"flush\", \"TI\"] is False).", + "LiouvilleLambda":"RowBox[{\"LiouvilleLambda\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Liouville function RowBox[{\"λ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", + "List":"RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is a list of elements. ", + "Listable":"Listable is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that the function StyleBox[\"f\", \"TI\"] should automatically be threaded over lists that appear as its arguments. ", + "ListAnimate":"RowBox[{\"ListAnimate\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an animation whose frames are the successive SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListAnimate\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"fps\", \"TI\"]}], \"]\"}] displays StyleBox[\"fps\", \"TI\"] frames per second. ", + "ListContourPlot":"RowBox[{\"ListContourPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a contour plot from an array of height values. \nRowBox[{\"ListContourPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a contour plot from values defined at specified points. ", + "ListContourPlot3D":"RowBox[{\"ListContourPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a contour plot from a three-dimensional array of values. \nRowBox[{\"ListContourPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a contour plot from values defined at specified points in three‐dimensional space. ", + "ListConvolve":"RowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] forms the convolution of the kernel StyleBox[\"ker\", \"TI\"] with StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] forms the cyclic convolution in which the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] element of StyleBox[\"ker\", \"TI\"] is aligned with each element in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}]}], \"]\"}] forms the cyclic convolution whose first element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", \"1\", \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \"]\"}], \"]\"}]}] and whose last element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"-\", \"1\"}], \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]], \"]\"}], \"]\"}]}]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] forms the convolution in which StyleBox[\"list\", \"TI\"] is padded at each end with repetitions of the element StyleBox[\"p\", \"TI\"]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] forms the convolution in which StyleBox[\"list\", \"TI\"] is padded at each end with cyclic repetitions of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] forms a generalized convolution in which StyleBox[\"g\", \"TI\"] is used in place of Times and StyleBox[\"h\", \"TI\"] in place of Plus. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"lev\", \"TI\"]}], \"]\"}] forms a convolution using elements at level StyleBox[\"lev\", \"TI\"] in StyleBox[\"ker\", \"TI\"] and StyleBox[\"list\", \"TI\"]. ", + "ListCorrelate":"RowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] forms the correlation of the kernel StyleBox[\"ker\", \"TI\"] with StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] forms the cyclic correlation in which the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] element of StyleBox[\"ker\", \"TI\"] is aligned with each element in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}]}], \"]\"}] forms the cyclic correlation whose first element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", \"1\", \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \"]\"}], \"]\"}]}] and whose last element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"-\", \"1\"}], \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]], \"]\"}], \"]\"}]}]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] forms the correlation in which StyleBox[\"list\", \"TI\"] is padded at each end with repetitions of the element StyleBox[\"p\", \"TI\"]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] forms the correlation in which StyleBox[\"list\", \"TI\"] is padded at each end with cyclic repetitions of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] forms a generalized correlation in which StyleBox[\"g\", \"TI\"] is used in place of Times and StyleBox[\"h\", \"TI\"] in place of Plus. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"lev\", \"TI\"]}], \"]\"}] forms a correlation using elements at level StyleBox[\"lev\", \"TI\"] in StyleBox[\"ker\", \"TI\"] and StyleBox[\"list\", \"TI\"]. ", + "ListCurvePathPlot":"RowBox[{\"ListCurvePathPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a curve that corresponds to a smooth path through the specified points. ", + "ListDeconvolve":"RowBox[{\"ListDeconvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives a deconvolution of StyleBox[\"list\", \"TI\"] using kernel StyleBox[\"ker\", \"TI\"].", + "ListDensityPlot":"RowBox[{\"ListDensityPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a smooth density plot from an array of values. \nRowBox[{\"ListDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a density plot with values defined at specified points. ", + "ListDensityPlot3D":"RowBox[{\"ListDensityPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a smooth density plot from an array of values. \nRowBox[{\"ListDensityPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a density plot with values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].", + "Listen":"Listen is a setting for the LinkMode option of LinkOpen. LinkMode->Listen causes a link to be created that listens on a named port for an incoming connection request.", + "ListFormat":"ListFormat is an option to TextString and related functions that determines how lists are formatted.", + "ListFourierSequenceTransform":"RowBox[{\"ListFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the discrete-time Fourier transform (DTFT) of a list as a function of the parameter StyleBox[\"ω\", \"TR\"].\nRowBox[{\"ListFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] places the first element of StyleBox[\"list\", \"TI\"] at integer time StyleBox[\"k\", \"TI\"] on the infinite time axis.\nRowBox[{\"ListFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional discrete-time Fourier transform", + "ListInterpolation":"RowBox[{\"ListInterpolation\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] constructs an InterpolatingFunction object that represents an approximate function that interpolates the array of values given. \nRowBox[{\"ListInterpolation\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the domain of the grid from which the values in StyleBox[\"array\", \"TI\"] are assumed to come. ", + "ListLineIntegralConvolutionPlot":"RowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"}\"}], \"]\"}] generates a line integral convolution plot of StyleBox[\"image\", \"TI\"] convolved with the vector field defined by an array of vector field values.\nRowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a line integral convolution plot of white noise convolved with the vector field defined by StyleBox[\"array\", \"TI\"].\nRowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"image\", \"TI\"]}], \"}\"}], \"]\"}] generates a line integral convolution plot of StyleBox[\"image\", \"TI\"] convolved with the vector field defined by vectors RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a line integral convolution plot of white noise convolved with the vector field defined by RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].", + "ListLinePlot":"RowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a line through the points RowBox[{RowBox[{\"{\", RowBox[{\"1\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"2\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a line through a list of points with specific StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] positions. \nRowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", + "ListLogLinearPlot":"RowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-linear plot of the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] coordinates 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-linear plot of the specified list of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] values.\nRowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots several lists of values.\nRowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", + "ListLogLogPlot":"RowBox[{\"ListLogLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-log plot of the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] coordinates 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListLogLogPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-log plot of the specified list of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] values.\nRowBox[{\"ListLogLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListLotLogPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", + "ListLogPlot":"RowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log plot of the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] coordinates 1, 2, ….\nRowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log plot of the specified list of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] values.\nRowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", + "ListPicker":"RowBox[{\"ListPicker\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a list pane with setting StyleBox[\"list\", \"TI\"] that can contain possible values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPicker\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"list\", \"TI\"], with members added or removed each time an item is selected or deselected.\nRowBox[{\"ListPicker\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a list pane in which the possible value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] is indicated by SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ListPickerBox":"RowBox[{ListPickerBox, \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is a low-level box structure that represents a list pane control.", + "ListPickerBoxOptions":"ListPickerBoxOptions is an option that specifies settings for ListPickerBox objects.", + "ListPlay":"RowBox[{\"ListPlay\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates an object that plays as a sound whose amplitude is given by the sequence of levels SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "ListPlot":"RowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points RowBox[{RowBox[{\"{\", RowBox[{\"1\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"2\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a list of points with specified StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] coordinates. \nRowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", + "ListPlot3D":"RowBox[{\"ListPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a three-dimensional plot of a surface representing an array of height values. \nRowBox[{\"ListPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a plot of the surface with heights SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]] at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the surfaces corresponding to each of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ListPointPlot3D":"RowBox[{\"ListPointPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a 3D scatter plot of points with coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListPointPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a 3D scatter plot of points with a 2D array of height values.\nRowBox[{\"ListPointPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots several collections of points, by default in different colors. ", + "ListPolarPlot":"RowBox[{\"ListPolarPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points equally spaced in angle at radii SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPolarPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points at polar coordinates SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPolarPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots several lists of values.", + "ListQ":"RowBox[{\"ListQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if the head of StyleBox[\"expr\", \"TI\"] is List, and False otherwise.", + "ListSliceContourPlot3D":"RowBox[{\"ListSliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a contour plot of the three-dimensional StyleBox[\"array\", \"TI\"] of values sliced to the surface StyleBox[\"surf\", \"TI\"].\nRowBox[{\"ListSliceContourPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a slice contour plot for the values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListSliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates slice contour plots over several slices SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", + "ListSliceDensityPlot3D":"RowBox[{\"ListSliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a density plot of the three-dimensional StyleBox[\"array\", \"TI\"] of values sliced to the surface StyleBox[\"surf\", \"TI\"].\nRowBox[{\"ListSliceDensityPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a slice density plot for the values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListSliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates slice density plots over several slices SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", + "ListSliceVectorPlot3D":"RowBox[{\"ListSliceVectorPlot3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a vector plot from a 3D array of vector field values over the slice surface StyleBox[\"surf\", \"TI\"].\nRowBox[{\"ListSliceVectorPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a slice vector plot over several surfaces SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. ", + "ListStepPlot":"RowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in steps at points 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in steps at points SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"step\", \"TI\"]}], \"]\"}] plots using steps specified by StyleBox[\"step\", \"TI\"].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", + "ListStreamDensityPlot":"RowBox[{\"ListStreamDensityPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a stream density plot from a 2D array of vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"ij\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListStreamDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a stream density plot from vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListStreamDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector and scalar fields. ", + "ListStreamPlot":"RowBox[{\"ListStreamPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a stream plot from an array of vector field values.\nRowBox[{\"ListStreamPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a stream plot from vector field values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListStreamPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector fields. ", + "ListSurfacePlot3D":"RowBox[{\"ListSurfacePlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a three-dimensional surface constructed to fit the specified points. ", + "ListVectorDensityPlot":"RowBox[{\"ListVectorDensityPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a vector plot from a 2D array of vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"ij\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListVectorDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a vector plot from vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListVectorDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector and scalar fields. ", + "ListVectorPlot":"RowBox[{\"ListVectorPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a vector plot from an array of vector field values.\nRowBox[{\"ListVectorPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a vector plot from vector field values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListVectorPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector fields. ", + "ListVectorPlot3D":"RowBox[{\"ListVectorPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a 3D vector plot from a 3D array of vector field values.\nRowBox[{\"ListVectorPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector fields. ", + "ListZTransform":"RowBox[{\"ListZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Z transform of StyleBox[\"list\", \"TI\"] as a function of StyleBox[\"z\", \"TI\"].\nRowBox[{\"ListZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] places the first element of StyleBox[\"list\", \"TI\"] at integer time StyleBox[\"k\", \"TI\"] on the infinite time axis.\nRowBox[{\"ListZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Z transform.", + "LocalAdaptiveBinarize":"RowBox[{\"LocalAdaptiveBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] creates a binary image from StyleBox[\"image\", \"TI\"] by replacing values above the mean of the range-StyleBox[\"r\", \"TI\"] neighborhood with 1 and others with 0.\nRowBox[{\"LocalAdaptiveBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces values above RowBox[{RowBox[{\"α\", \" \", \"μ\"}], \"+\", RowBox[{\"β\", \" \", \"σ\"}], \"+\", \"γ\"}] with 1 and others with 0, where μ and σ are the local mean and standard deviation.", + "LocalCache":"RowBox[{\"LocalCache\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"uri\", \"TI\"], \"]\"}], \"]\"}] caches a cloud object in a local object.\nRowBox[{\"LocalCache\", \"[\", RowBox[{\"URL\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}], \"]\"}] caches the contents of a StyleBox[\"url\", \"TI\"] in a local object.\nRowBox[{\"LocalCache\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{\"LocalObject\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}]}], \"]\"}] caches the contents of StyleBox[\"obj\", \"TI\"] in the specified local object.", + "LocalClusteringCoefficient":"RowBox[{\"LocalClusteringCoefficient\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of local clustering coefficients of all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LocalClusteringCoefficient\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the local clustering coefficient of the vertex StyleBox[\"v\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LocalClusteringCoefficient\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "LocalizeVariables":"LocalizeVariables is an option to Manipulate that determines whether the values of variables associated with controls should be localized.", + "LocalObject":"RowBox[{\"LocalObject\", \"[\", \"]\"}] represents a new anonymous local object.\nRowBox[{\"LocalObject\", \"[\", \"StyleBox[RowBox[{RowBox[{file, :}], RowBox[{\/\/, \/}]}], AutoSpacing -> False] StyleBox[…, TR]\", \"]\"}] represents a local object with a given file path.\nRowBox[{\"LocalObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a local object with the given relative path.\nRowBox[{\"LocalObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"lbase\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a local object relative to the base StyleBox[\"lbase\", \"TI\"].", + "LocalObjects":"RowBox[{\"LocalObjects\", \"[\", \"]\"}] gives a list of local objects in your current local base directory.\nRowBox[{\"LocalObjects\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] gives a list of local objects in the local directory StyleBox[\"dir\", \"TI\"].", + "LocalResponseNormalizationLayer":"RowBox[{\"LocalResponseNormalizationLayer\", \"[\", \"]\"}] represents a net layer that normalizes its input by averaging across neighboring input channels.", + "LocalSubmit":"RowBox[{\"LocalSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in a separate kernel.\nRowBox[{\"LocalSubmit\", \"[\", RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \" \", StyleBox[\"spec\", \"TI\"]}], \"]\"}], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in a separate kernel on the schedule defined by StyleBox[\"spec\", \"TI\"].", + "LocalSymbol":"RowBox[{\"LocalSymbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a symbol whose value is persistently stored in the local file system.\nRowBox[{\"LocalSymbol\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] represents a persistent symbol corresponding to the local object StyleBox[\"obj\", \"TI\"].", + "LocalTime":"RowBox[{\"LocalTime\", \"[\", \"]\"}] gives a DateObject corresponding to the current local time at the current geo location.\nRowBox[{\"LocalTime\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the current local time at the geo location specified by StyleBox[\"loc\", \"TI\"].\nRowBox[{\"LocalTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] gives the local time corresponding to the date object StyleBox[\"time\", \"TI\"] at the geo location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"LocalTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended geographic regions.", + "LocalTimeZone":"RowBox[{\"LocalTimeZone\", \"[\", \"]\"}] gives the current time zone for the current geo location.\nRowBox[{\"LocalTimeZone\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the current time zone for the geo location specified by StyleBox[\"loc\", \"TI\"].\nRowBox[{\"LocalTimeZone\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the time zone for the geo location StyleBox[\"loc\", \"TI\"] on the specified date.\nRowBox[{\"LocalTimeZone\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property of the time zone.", + "LocationEquivalenceTest":"RowBox[{\"LocationEquivalenceTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the means or medians of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] are equal. \nRowBox[{\"LocationEquivalenceTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "LocationTest":"RowBox[{\"LocationTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean or median of the StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"LocationTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means or medians of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"LocationTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests a location measure against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"LocationTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Locator":"RowBox[{\"Locator\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] represents a locator object at position RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in a graphic. \nRowBox[{\"Locator\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}], \"]\"}] takes the position to be the dynamically updated current value of StyleBox[\"pos\", \"TI\"], with this value being reset if the locator object is moved. \nRowBox[{\"Locator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] displays StyleBox[\"obj\", \"TI\"] as the locator object. \nRowBox[{\"Locator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", \"None\"}], \"]\"}] displays nothing visible as the locator object. ", + "LocatorAutoCreate":"LocatorAutoCreate is an option for LocatorPane, Manipulate, and related functions that specifies whether new locators should be created when clicking away from existing locators.", + "LocatorBoxOptions":"RowBox[{LocatorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for LocatorBox objects.", + "LocatorPane":"RowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] represents a pane with a locator at position RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] and background StyleBox[\"back\", \"TI\"].\nRowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"pt\", \"TI\"], \"]\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] takes the locator position to be the dynamically updated current value of StyleBox[\"pt\", \"TI\"], with the value of StyleBox[\"pt\", \"TI\"] being reset if the locator is moved.\nRowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] sets up multiple locators at positions SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] takes the locator positions to be dynamically updated current values of the SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LocatorPane\", \"[\", RowBox[{StyleBox[\"pts\", \"TI\"], \",\", StyleBox[\"back\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] specifies the range of coordinates for the locator.\nRowBox[{\"LocatorPane\", \"[\", RowBox[{StyleBox[\"pts\", \"TI\"], \",\", StyleBox[\"back\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses jumps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"]. ", + "LocatorPaneBoxOptions":"RowBox[{LocatorPaneBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for LocatorPaneBox objects.", + "LocatorRegion":"LocatorRegion is an option for Locator that specifies where the locator object should by default be allowed to go when it is dragged.", + "Locked":"Locked is an attribute that, once assigned, prevents modification of any attributes of a symbol. ", + "Log":"RowBox[{\"Log\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the natural logarithm of StyleBox[\"z\", \"TI\"] (logarithm to base e). \nRowBox[{\"Log\", \"[\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the logarithm to base StyleBox[\"b\", \"TI\"]. ", + "Log10":"RowBox[{\"Log10\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the base-10 logarithm of StyleBox[\"x\", \"TI\"].", + "Log2":"RowBox[{\"Log2\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the base-2 logarithm of StyleBox[\"x\", \"TI\"].", + "LogBarnesG":"RowBox[{\"LogBarnesG\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the logarithm of the Barnes StyleBox[\"G\", FontSlant -> \"Italic\"]-function RowBox[{\"logG\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "LogGamma":"RowBox[{\"LogGamma\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the logarithm of the gamma function RowBox[{\"log\", \" \", RowBox[{\"Γ\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]}]. ", + "LogGammaDistribution":"RowBox[{\"LogGammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a log-gamma distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and location parameter StyleBox[\"μ\", \"TR\"].", + "LogicalExpand":"RowBox[{\"LogicalExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out logical combinations of equations, inequalities, and other functions. ", + "LogIntegral":"RowBox[{\"LogIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] is the logarithmic integral function RowBox[{\"li\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "LogisticDistribution":"RowBox[{\"LogisticDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a logistic distribution with mean StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"LogisticDistribution\", \"[\", \"]\"}] represents a logistic distribution with mean 0 and scale parameter 1.", + "LogisticSigmoid":"RowBox[{\"LogisticSigmoid\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the logistic sigmoid function.", + "LogitModelFit":"RowBox[{\"LogitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a binomial logistic regression model of the form RowBox[{\"1\", \"\/\", RowBox[{\"(\", RowBox[{\"1\", \"+\", SuperscriptBox[\"\", RowBox[{\"-\", RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"…\"}], \")\"}]}]]}], \")\"}]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"LogitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a binomial logistic regression model of the form RowBox[{\"1\", \"\/\", RowBox[{\"(\", RowBox[{\"1\", \"+\", SuperscriptBox[\"\", RowBox[{\"-\", RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"…\"}], \")\"}]}]]}], \")\"}]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"LogitModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a binomial logistic regression model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", + "LogLikelihood":"RowBox[{\"LogLikelihood\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the log‐likelihood function for observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{RowBox[{\"LogLikelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}]}]}]}], \"]\"}] gives the log-likelihood function for the observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the process StyleBox[\"proc\", \"TI\"].\nRowBox[{\"LogLikelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the log-likelihood function for the observations from SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the process StyleBox[\"proc\", \"TI\"].", + "LogLinearPlot":"RowBox[{\"LogLinearPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a log-linear plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"LogLinearPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"LogLinearPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"LogLinearPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", + "LogLogisticDistribution":"RowBox[{\"LogLogisticDistribution\", \"[\", RowBox[{StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a log-logistic distribution with shape parameter StyleBox[\"γ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].", + "LogLogPlot":"RowBox[{\"LogLogPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a log-log plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"LogLogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"LogLogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"LogLogPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", + "LogMultinormalDistribution":"RowBox[{\"LogMultinormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a log-multinormal distribution with parameters StyleBox[\"μ\", \"TR\"] and StyleBox[\"Σ\", \"TR\"].", + "LogNormalDistribution":"RowBox[{\"LogNormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a lognormal distribution derived from a normal distribution with mean StyleBox[\"μ\", \"TR\"] and standard deviation StyleBox[\"σ\", \"TR\"].", + "LogPlot":"RowBox[{\"LogPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a log plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"LogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"LogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"LogPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", + "LogRankTest":"RowBox[{\"LogRankTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests for equal hazard rates among the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] using a log-rank type test. \nRowBox[{\"LogRankTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wspec\", \"TI\"]}], \"]\"}] performs a weighted log-rank test with weights StyleBox[\"wspec\", \"TI\"]. \nRowBox[{\"LogRankTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "LogSeriesDistribution":"RowBox[{\"LogSeriesDistribution\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] represents a logarithmic series distribution with parameter StyleBox[\"θ\", \"TR\"].", + "Longest":"RowBox[{\"Longest\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that matches the longest sequence consistent with the pattern StyleBox[\"p\", \"TI\"]. ", + "LongestCommonSequence":"RowBox[{\"LongestCommonSequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest sequence of contiguous or disjoint elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "LongestCommonSequencePositions":"RowBox[{\"LongestCommonSequencePositions\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest sequence of contiguous or disjoint elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]] and returns their positions.", + "LongestCommonSubsequence":"RowBox[{\"LongestCommonSubsequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest contiguous subsequence of elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "LongestCommonSubsequencePositions":"RowBox[{\"LongestCommonSubsequencePositions\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest contiguous subsequence of elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]] and returns their positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}] in SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "LongestMatch":"LongestMatch[StyleBox[\"p\", \"TI\"]] is a string pattern object matching the longest sequence of characters consistent with the string pattern StyleBox[\"p\", \"TI\"].", + "LongestOrderedSequence":"RowBox[{\"LongestOrderedSequence\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the longest ordered sequence of contiguous or disjoint elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"LongestOrderedSequence\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] finds the longest ordered sequence using the ordering function StyleBox[\"p\", \"TI\"].", + "LongForm":"LongForm is an option for Information. With RowBox[{\"LongForm\", \" \", \"->\", \" \", \"True\"}], the full information of a symbol is printed. With RowBox[{\"LongForm\", \" \", \"->\", \" \", \"False\"}] the usage of a symbol is printed.", + "Longitude":"RowBox[{\"Longitude\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] gives the longitude in degrees of a geographic position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Longitude\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] gives the longitude referring to the specified geodetic datum.", + "LongLeftArrow":"RowBox[{\"LongLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟵\", StyleBox[\"y\", \"TI\"], \"⟵\", StyleBox[\"…\", \"TR\"]}].", + "LongLeftRightArrow":"RowBox[{\"LongLeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟷\", StyleBox[\"y\", \"TI\"], \"⟷\", StyleBox[\"…\", \"TR\"]}].", + "LongRightArrow":"RowBox[{\"LongRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟶\", StyleBox[\"y\", \"TI\"], \"⟶\", StyleBox[\"…\", \"TR\"]}].", + "LongShortTermMemoryLayer":"RowBox[{\"LongShortTermMemoryLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable recurrent layer that takes a sequence of vectors and produces a sequence of vectors, each of size StyleBox[\"n\", \"TI\"].\nRowBox[{\"LongShortTermMemoryLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for weights and other parameters. ", + "Lookup":"RowBox[{\"Lookup\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] looks up the value associated with StyleBox[\"key\", \"TI\"] in the association StyleBox[\"assoc\", \"TI\"]; if the key is not present, RowBox[{\"Missing\", \"[\", RowBox[{StyleBox[\"\\\"KeyAbsent\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] is returned.\nRowBox[{\"Lookup\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the values associated with the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Lookup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] gives a list corresponding to the value of StyleBox[\"key\", \"TI\"] in each SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Lookup\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if the StyleBox[\"key\", \"TI\"] is not present.\nRowBox[{\"Lookup\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] represents an operator form of Lookup that can be applied to an expression.", + "Loopback":"Loopback is a setting for the LinkMode option of LinkOpen. LinkMode->Loopback causes a link to be created that is not connected to another program. Expressions written to the link are read back from the same link.", + "LoopFreeGraphQ":"RowBox[{\"LoopFreeGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] has no self-loops, and False otherwise.", + "LossFunction":"LossFunction is an option for NetTrain that specifies how to compare actual and requested outputs from a neural net.", + "LowerCaseQ":"RowBox[{\"LowerCaseQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are lowercase letters, and yields False otherwise. ", + "LowerLeftArrow":"RowBox[{\"LowerLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↙\", StyleBox[\"y\", \"TI\"], \"↙\", StyleBox[\"…\", \"TR\"]}].", + "LowerRightArrow":"RowBox[{\"LowerRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↘\", StyleBox[\"y\", \"TI\"], \"↘\", StyleBox[\"…\", \"TR\"]}].", + "LowerTriangularize":"RowBox[{\"LowerTriangularize\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a matrix in which all but the lower triangular elements of StyleBox[\"m\", \"TI\"] are replaced with zeros. \nRowBox[{\"LowerTriangularize\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] replaces with zeros only the elements above the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] subdiagonal of StyleBox[\"m\", \"TI\"].", + "LowpassFilter":"RowBox[{\"LowpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a lowpass filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"LowpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"LowpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", + "LQEstimatorGains":"RowBox[{\"LQEstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the optimal estimator gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"], with process and measurement noise covariance matrices StyleBox[\"w\", \"TI\"] and StyleBox[\"v\", \"TI\"].\nRowBox[{\"LQEstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the cross-covariance matrix StyleBox[\"h\", \"TI\"].\nRowBox[{\"LQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the noisy measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"LQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", + "LQGRegulator":"RowBox[{\"LQGRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] constructs the optimal feedback regulator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] using noisy measurements StyleBox[\"sensors\", \"TI\"] and feedback inputs StyleBox[\"finputs\", \"TI\"]. The process, measurement, and cross-covariance matrices are StyleBox[\"w\", \"TI\"], StyleBox[\"v\", \"TI\"], and StyleBox[\"h\", \"TI\"]; and the state, input, and state-input weighting matrices are StyleBox[\"q\", \"TI\"], StyleBox[\"r\", \"TI\"], and StyleBox[\"p\", \"TI\"].\nRowBox[{\"LQGRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"], \",\", StyleBox[\"einputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"einputs\", \"TI\"] as the exogenous deterministic inputs.", + "LQOutputRegulatorGains":"RowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the optimal state feedback gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] and the quadratic cost function, with output and control weighting matrices StyleBox[\"q\", \"TI\"] and StyleBox[\"r\", \"TI\"].\nRowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the output-control cross-coupling matrix StyleBox[\"p\", \"TI\"] in the cost function.\nRowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the measured outputs of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"finputs\", \"TI\"] as the feedback inputs of StyleBox[\"ssm\", \"TI\"].", + "LQRegulatorGains":"RowBox[{\"LQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the optimal state feedback gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] and the quadratic cost function, with state and control weighting matrices StyleBox[\"q\", \"TI\"] and StyleBox[\"r\", \"TI\"].\nRowBox[{\"LQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the state-control cross-coupling matrix StyleBox[\"p\", \"TI\"] in the cost function.\nRowBox[{\"LQRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"finputs\", \"TI\"] as the feedback inputs of StyleBox[\"ssm\", \"TI\"].", + "LucasL":"RowBox[{\"LucasL\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Lucas number SubscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"LucasL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Lucas polynomial RowBox[{SubscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", + "LuccioSamiComponents":"RowBox[{\"LuccioSamiComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the Luccio–Sami components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LuccioSamiComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"LuccioSamiComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "LUDecomposition":"RowBox[{\"LUDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a representation of the LU decomposition of a square matrix StyleBox[\"m\", \"TI\"]. ", + "LunarEclipse":"RowBox[{\"LunarEclipse\", \"[\", \"]\"}] gives the time of the next lunar eclipse.\nRowBox[{\"LunarEclipse\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the time for the next lunar eclipse after the specified date.\nRowBox[{\"LunarEclipse\", \"[\", StyleBox[\"propertyspec\", \"TI\"], \"]\"}] gives the specified property value for the next lunar eclipse.\nRowBox[{\"LunarEclipse\", \"[\", RowBox[{StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"propertyspec\", \"TI\"]}], \"]\"}] gives the specified property value for the next lunar eclipse after the specified date.", + "LUVColor":"RowBox[{\"LUVColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] is a color directive with lightness StyleBox[\"l\", \"TI\"] and color components StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].\nRowBox[{\"LUVColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", + "LyapunovSolve":"RowBox[{\"LyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] finds a solution StyleBox[\"x\", \"TI\"] of the matrix Lyapunov equation RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"LyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"LyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"d\", \"TI\"], \"\"}]}], \"+\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"LyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"e\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \"\", StyleBox[\"c\", \"TI\"]}].", + "LyonsGroupLy":"RowBox[{\"LyonsGroupLy\", \"[\", \"]\"}] represents the sporadic simple Lyons group Ly.", + "MachineID":"MachineID is an option to Encode which specifies the required value of $MachineID on the computer that reads the encoded file. If no value is specified, any value of $MachineID is allowed on the file-reading computer. A setting for MachineID must be a string.", + "MachineName":"MachineName is an option to Encode which specifies the required value of $MachineName on the computer that reads the encoded file. If no value is specified, any value of $MachineName is allowed on the file-reading computer. A setting for MachineName must be a string.", + "MachineNumberQ":"RowBox[{\"MachineNumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a machine‐precision real or complex number, and returns False otherwise. ", + "MachinePrecision":"MachinePrecision is a symbol used to indicate machine‐number precision. ", + "Magenta":"Magenta represents the color magenta in graphics or style specifications. ", + "Magnification":"Magnification is an option for Style and Cell that specifies what magnification to use for display. ", + "Magnify":"RowBox[{\"Magnify\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents an object to be displayed with magnification StyleBox[\"r\", \"TI\"]. \nRowBox[{\"Magnify\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with StyleBox[\"expr\", \"TI\"] magnified by a fixed factor.", + "MailAddressValidation":"MailAddressValidation is an option for SendMail that specifies whether and how to validate email addresses.", + "MailExecute":"RowBox[{\"MailExecute\", \"[\", RowBox[{StyleBox[\"cmd\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] executes the mail command StyleBox[\"cmd\", \"TI\"] on the mail item or folder given.", + "MailFolder":"RowBox[{\"MailFolder\", \"[\", \"…\", \"]\"}] represents a mail folder associated with an active mail server connection.", + "MailItem":"RowBox[{\"MailItem\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an item of mail associated with an active mail server connection.", + "MailReceiverFunction":"RowBox[{\"MailReceiverFunction\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] represents a mail receiver function that applies StyleBox[\"fun\", \"TI\"] to any mail message it receives.", + "MailResponseFunction":"MailResponseFunction is an option for MailReceiverFunction that specifies what function to apply to respond to the sender of mail received by a MailReceiverFunction.", + "MailSearch":"RowBox[{\"MailSearch\", \"[\", RowBox[{StyleBox[\"folder\", \"TI\"], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] searches the specified mail folder for messages with properties matching elements in StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"MailSearch\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] searches the current default mail inbox.\nRowBox[{\"MailSearch\", \"[\", \"]\"}] gives the list of unread messages in the current default mail inbox.", + "MailServerConnect":"RowBox[{\"MailServerConnect\", \"[\", \"]\"}] connects to your default incoming mail server.\nRowBox[{\"MailServerConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"server\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] connects to the specified incoming mail server \"StyleBox[\"server\", \"TI\"]\".\nRowBox[{\"MailServerConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"server\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"userid\", \"TI\"]}], \"]\"}] connects using the specified user ID StyleBox[\"userid\", \"TI\"].\nRowBox[{\"MailServerConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"server\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"userid\", \"TI\"], \",\", StyleBox[\"password\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] connects using StyleBox[\"userid\", \"TI\"] and StyleBox[\"password\", \"TI\"].", + "MailServerConnection":"RowBox[{\"MailServerConnection\", \"[\", \"…\", \"]\"}] is a symbol representation of a connection to an incoming mail server.", + "MailSettings":"MailSettings is an option for SendMail and MailServerConnect to specify mail settings.", + "MainSolve":"RowBox[{\"MainSolve\", \"[\", StyleBox[\"eqns\", \"TI\"], \"]\"}] is the underlying function for transforming systems of equations. Solve and Eliminate call it. The equations must be of the form RowBox[{StyleBox[\"lhs\", \"TI\"], \" \", \"==\", \" \", StyleBox[\"rhs\", \"TI\"]}]. They can be combined using && and ||. MainSolve returns False if no solutions to the equations exist, and True if all values of variables are solutions. MainSolve rearranges the equations using certain directives. RowBox[{\"MainSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", \" \", StyleBox[\"vars\", \"TI\"], \",\", \" \", StyleBox[\"elim\", \"TI\"], \",\", \" \", StyleBox[\"rest\", \"TI\"]}], \"]\"}] attempts to rearrange the equations StyleBox[\"eqns\", \"TI\"] so as to solve for the variables StyleBox[\"vars\", \"TI\"], and eliminate the variables StyleBox[\"elim\", \"TI\"]. The list StyleBox[\"rest\", \"TI\"] can be included to specify the elimination order for any remaining variables.", + "Majority":"RowBox[{\"Majority\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives True if the majority of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and False if the majority are False.", + "MakeBoxes":"RowBox[{MakeBoxes, \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] is the low‐level function used in StyleBox[\"Wolfram System\", \"RebrandingTerm\"] sessions to convert expressions into boxes. \nRowBox[{MakeBoxes, \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is the function to convert StyleBox[\"expr\", \"TI\"] to StandardForm boxes.", + "MakeExpression":"RowBox[{\"MakeExpression\", \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] is the low‐level function used in StyleBox[\"Wolfram System\", \"RebrandingTerm\"] sessions to construct expressions from boxes. ", + "MakeRules":"MakeRules is an option to Solve and related functions. With RowBox[{\"MakeRules\", \" \", \"->\", \" \", \"True\"}], the result is presented as an AlgebraicRulesData object. With RowBox[{\"MakeRules\", \" \", \"->\", \" \", \"False\"}], the result is presented as a list of rules.", + "ManagedLibraryExpressionID":"RowBox[{\"ManagedLibraryExpressionID\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the positive integer ID associated with StyleBox[\"expr\", \"TI\"] if it is a managed library expression and $Failed otherwise.\nRowBox[{\"ManagedLibraryExpressionID\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"mname\", \"TI\"]}], \"]\"}] only returns the ID if StyleBox[\"expr\", \"TI\"] is associated with the registered manager having name StyleBox[\"mname\", \"TI\"].", + "ManagedLibraryExpressionQ":"RowBox[{\"ManagedLibraryExpressionQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a managed library expression and False otherwise.\nRowBox[{\"ManagedLibraryExpressionQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"mname\", \"TI\"]}], \"]\"}] only returns True if StyleBox[\"expr\", \"TI\"] is associated with the registered manager having name StyleBox[\"mname\", \"TI\"].", + "MandelbrotSetBoettcher":"RowBox[{\"MandelbrotSetBoettcher\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives an approximation of the Böttcher function of StyleBox[\"z\", \"TI\"], which maps the complement of the Mandelbrot set conformally to the complement of the closed unit disk.", + "MandelbrotSetDistance":"RowBox[{\"MandelbrotSetDistance\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] estimates the distance from StyleBox[\"c\", \"TI\"] to the nearest point in the Mandelbrot set.\nRowBox[{\"MandelbrotSetDistance\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"\\\"Interior\\\"\",ShowStringCharacters->True]}], \"]\"}] estimates the distance from StyleBox[\"c\", \"TI\"] to the nearest point in the complement of the Mandelbrot set.", + "MandelbrotSetIterationCount":"RowBox[{\"MandelbrotSetIterationCount\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] returns the number of iterations of the function RowBox[{RowBox[{\"f\", \"(\", \"z\", \")\"}], \"\", RowBox[{SuperscriptBox[\"z\", \"2\"], \"+\", \"c\"}]}], beginning with RowBox[{\"z\", \"\", \"0\"}], that are needed to determine whether StyleBox[\"c\", \"TI\"] is in the Mandelbrot set.", + "MandelbrotSetMemberQ":"RowBox[{\"MandelbrotSetMemberQ\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] returns True if StyleBox[\"z\", \"TI\"] is in the Mandelbrot set, and False otherwise.", + "MandelbrotSetPlot":"RowBox[{\"MandelbrotSetPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] plots the portion of the Mandelbrot set inside the rectangle with corners SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"MandelbrotSetPlot\", \"[\", \"]\"}] plots the Mandelbrot set over a default rectangle.", + "MangoldtLambda":"RowBox[{\"MangoldtLambda\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the von Mangoldt function RowBox[{\"Λ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", + "ManhattanDistance":"RowBox[{\"ManhattanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Manhattan or \"city block\" distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "Manipulate":"RowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a version of StyleBox[\"expr\", \"TI\"] with controls added to allow interactive manipulation of the value of StyleBox[\"u\", \"TI\"]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] allows the value of StyleBox[\"u\", \"TI\"] to vary between SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the initial value of StyleBox[\"u\", \"TI\"] to be SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"lbl\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] labels the controls for StyleBox[\"u\", \"TI\"] with SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"lbl\", \"TI\"]]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] allows StyleBox[\"u\", \"TI\"] to take on discrete values RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] provides controls to manipulate each of the RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"u\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"v\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] links the controls to the specified controllers on an external device.", + "Manipulator":"RowBox[{\"Manipulator\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a manipulator with setting StyleBox[\"x\", \"TI\"] in the range 0 to 1. \nRowBox[{\"Manipulator\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the manipulator is moved. \nRowBox[{\"Manipulator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a manipulator with range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Manipulator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a manipulator that jumps in steps StyleBox[\"dx\", \"TI\"]. ", + "MannedSpaceMissionData":"RowBox[{\"MannedSpaceMissionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the manned space mission StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MannedSpaceMissionData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified manned space mission entities.\nRowBox[{\"MannedSpaceMissionData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "MannWhitneyTest":"RowBox[{\"MannWhitneyTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the medians of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"MannWhitneyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the median difference against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"MannWhitneyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "MantissaExponent":"RowBox[{\"MantissaExponent\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a list containing the mantissa and exponent of a number StyleBox[\"x\", \"TI\"]. \nRowBox[{\"MantissaExponent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the base‐StyleBox[\"b\", \"TI\"] mantissa and exponent of StyleBox[\"x\", \"TI\"]. ", + "Manual":"Manual represents an option or other value that is to be selected manually, usually by some form of interactive manipulation.", + "Map":"RowBox[{\"Map\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"\/@\", StyleBox[\"expr\", \"TI\"]}] applies StyleBox[\"f\", \"TI\"] to each element on the first level in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Map\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Map\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Map that can be applied to an expression.", + "MapAll":"RowBox[{\"MapAll\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"\/\/@\", StyleBox[\"expr\", \"TI\"]}] applies StyleBox[\"f\", \"TI\"] to every subexpression in StyleBox[\"expr\", \"TI\"]. ", + "MapAt":"RowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the element at position StyleBox[\"n\", \"TI\"] in StyleBox[\"expr\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the part of StyleBox[\"expr\", \"TI\"] at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to parts of StyleBox[\"expr\", \"TI\"] at several positions. \nRowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] represents an operator form of MapAt that can be applied to an expression.", + "MapIndexed":"RowBox[{\"MapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the elements of StyleBox[\"expr\", \"TI\"], giving the part specification of each element as a second argument to StyleBox[\"f\", \"TI\"]. \nRowBox[{\"MapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to all parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"MapIndexed\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MapIndexed that can be applied to an expression.", + "MAProcess":"RowBox[{\"MAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a moving-average process of order StyleBox[\"q\", \"TI\"] with normal white noise variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"MAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector MA process with multinormal white noise covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"MAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an MA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"MAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an MA process with a constant StyleBox[\"c\", \"TI\"].", + "MapThread":"RowBox[{\"MapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"MapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the parts of the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"n\", \"TI\"].\nRowBox[{\"MapThread\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MapThread that can be applied to an expression.", + "MarchenkoPasturDistribution":"RowBox[{\"MarchenkoPasturDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Marchenko–Pastur distribution with asymptotic ratio λ and scale parameter σ.\nRowBox[{\"MarchenkoPasturDistribution\", \"[\", StyleBox[\"λ\", \"TR\"], \"]\"}] represents a Marchenko–Pastur distribution with unit scale parameter.", + "MarcumQ":"RowBox[{\"MarcumQ\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives Marcum's Q function RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}].\nRowBox[{\"MarcumQ\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] gives Marcum's Q function RowBox[{RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"0\"]}], \")\"}], \"-\", RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"1\"]}], \")\"}]}].", + "MardiaCombinedTest":"RowBox[{\"MardiaCombinedTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] follows a MultinormalDistribution using the Mardia combined test.\nRowBox[{\"MardiaCombinedTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "MardiaKurtosisTest":"RowBox[{\"MardiaKurtosisTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] follows a MultinormalDistribution using the Mardia kurtosis test.\nRowBox[{\"MardiaKurtosisTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "MardiaSkewnessTest":"RowBox[{\"MardiaSkewnessTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] follows a MultinormalDistribution using the Mardia skewness test.\nRowBox[{\"MardiaSkewnessTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "MarginalDistribution":"RowBox[{\"MarginalDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a univariate marginal distribution of the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] coordinate from the multivariate distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"MarginalDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a multivariate marginal distribution of the RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] coordinates.", + "MarkovProcessProperties":"RowBox[{\"MarkovProcessProperties\", \"[\", StyleBox[\"mproc\", \"TI\"], \"]\"}] gives a summary of properties for the finite state Markov process StyleBox[\"mproc\", \"TI\"].\nRowBox[{\"MarkovProcessProperties\", \"[\", RowBox[{StyleBox[\"mproc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified \"\nStyleBox[\"property\", \"TI\"]\" for the process StyleBox[\"mproc\", \"TI\"].", + "Masking":"Masking is an option for various image and signal processing functions that specifies on which regions they should operate.", + "MatchingDissimilarity":"RowBox[{\"MatchingDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the matching dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "MatchLocalNameQ":"MatchLocalNameQ is an internal symbol.", + "MatchLocalNames":"MatchLocalNames is an option for Trace and related functions that specifies whether symbols such as StyleBox[\"x\", \"TI\"] should match symbols with local names of the form StyleBox[RowBox[{StyleBox[\"x\", \"TI\"], \"$\", StyleBox[\"nnn\", \"TI\"]}]]. ", + "MatchQ":"RowBox[{\"MatchQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns True if the pattern StyleBox[\"form\", \"TI\"] matches StyleBox[\"expr\", \"TI\"], and returns False otherwise.\nRowBox[{\"MatchQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of MatchQ that can be applied to an expression.", + "MathematicalFunctionData":"RowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the mathematical function specified by StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the sub-property StyleBox[\"annotation\", \"TI\"] corresponding to the given StyleBox[\"entity\", \"TI\"] and StyleBox[\"property\", \"TI\"].\t\nRowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the property value with the property qualifiers SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] set to the given values.\nRowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the sub-property StyleBox[\"annotation\", \"TI\"] corresponding to the given StyleBox[\"entity\", \"TI\"] and StyleBox[\"property\", \"TI\"] with the property qualifiers SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] set to the given values.", + "MathieuC":"RowBox[{\"MathieuC\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the even Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", + "MathieuCharacteristicA":"RowBox[{\"MathieuCharacteristicA\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the characteristic value SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"r\", \"TI\"]] for even Mathieu functions with characteristic exponent StyleBox[\"r\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", + "MathieuCharacteristicB":"RowBox[{\"MathieuCharacteristicB\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the characteristic value SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"r\", \"TI\"]] for odd Mathieu functions with characteristic exponent StyleBox[\"r\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", + "MathieuCharacteristicExponent":"RowBox[{\"MathieuCharacteristicExponent\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the characteristic exponent StyleBox[\"r\", \"TI\"] for Mathieu functions with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", + "MathieuCPrime":"RowBox[{\"MathieuCPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the even Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", + "MathieuGroupM11":"RowBox[{\"MathieuGroupM11\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"11\"].", + "MathieuGroupM12":"RowBox[{\"MathieuGroupM12\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"12\"].", + "MathieuGroupM22":"RowBox[{\"MathieuGroupM22\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"22\"].", + "MathieuGroupM23":"RowBox[{\"MathieuGroupM23\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"23\"].", + "MathieuGroupM24":"RowBox[{\"MathieuGroupM24\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"24\"].", + "MathieuS":"RowBox[{\"MathieuS\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the odd Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", + "MathieuSPrime":"RowBox[{\"MathieuSPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the odd Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", + "MathMLForm":"RowBox[{\"MathMLForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a MathML form of StyleBox[\"expr\", \"TI\"]. ", + "Matrices":"RowBox[{\"Matrices\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents the domain of matrices of dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Matrices\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] represents the domain of matrices of dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], with components in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"Matrices\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] represents the subdomain of matrices SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]] with symmetry StyleBox[\"sym\", \"TI\"].", + "MatrixExp":"RowBox[{\"MatrixExp\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the matrix exponential of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"MatrixExp\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the matrix exponential of StyleBox[\"m\", \"TI\"] applied to the vector StyleBox[\"v\", \"TI\"].", + "MatrixForm":"RowBox[{\"MatrixForm\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] prints with the elements of StyleBox[\"list\", \"TI\"] arranged in a regular array. ", + "MatrixFunction":"RowBox[{\"MatrixFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the matrix generated by the scalar function StyleBox[\"f\", \"TI\"] at the matrix argument StyleBox[\"m\", \"TI\"].", + "MatrixLog":"RowBox[{\"MatrixLog\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the matrix logarithm of a matrix StyleBox[\"m\", \"TI\"].", + "MatrixNormalDistribution":"RowBox[{\"MatrixNormalDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]]}], \"]\"}] represents zero mean matrix normal distribution with row covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]] and column covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]].\nRowBox[{\"MatrixNormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]]}], \"]\"}] represents matrix normal distribution with mean matrix StyleBox[\"μ\", \"TR\"].", + "MatrixPlot":"RowBox[{\"MatrixPlot\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a plot that gives a visual representation of the values of elements in a matrix.", + "MatrixPower":"RowBox[{\"MatrixPower\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] matrix power of the matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"MatrixPower\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] matrix power of the matrix StyleBox[\"m\", \"TI\"] applied to the vector StyleBox[\"v\", \"TI\"].", + "MatrixPropertyDistribution":"RowBox[{\"MatrixPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"mdist\", \"TI\"]}]}], \"]\"}] represents the distribution of the matrix property StyleBox[\"expr\", \"TI\"] where the matrix-valued random variable StyleBox[\"x\", \"TI\"] follows the matrix distribution StyleBox[\"mdist\", \"TI\"].\nRowBox[{\"MatrixPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the distribution where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the matrix distributions SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "MatrixQ":"RowBox[{\"MatrixQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a list of lists or a two-dimensional SparseArray object that can represent a matrix, and gives False otherwise. \nRowBox[{\"MatrixQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] gives True only if StyleBox[\"test\", \"TI\"] yields True when applied to each of the matrix elements in StyleBox[\"expr\", \"TI\"]. ", + "MatrixRank":"RowBox[{\"MatrixRank\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the rank of the matrix StyleBox[\"m\", \"TI\"]. ", + "MatrixTDistribution":"RowBox[{\"MatrixTDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents zero mean matrix t distribution with row covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], column covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]], and degrees of freedom parameter StyleBox[\"ν\", \"TR\"].\nRowBox[{\"MatrixTDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents matrix t distribution with mean matrix StyleBox[\"μ\", \"TR\"].", + "Max":"RowBox[{\"Max\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the numerically largest of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Max\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the largest element of any of the lists. ", + "MaxCellMeasure":"MaxCellMeasure is an option for DiscretizeRegion and related functions that specifies the maximum cell measure for the result.", + "MaxDetect":"RowBox[{\"MaxDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to constant extended maxima in StyleBox[\"image\", \"TI\"].\nRowBox[{\"MaxDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] finds extended maxima where the range of values is not greater than StyleBox[\"h\", \"TI\"].\nRowBox[{\"MaxDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies maxima detection to an array of data.", + "MaxDuration":"MaxDuration is an option that specifies the maximum duration for audio playback or capture.", + "MaxExtraBandwidths":"MaxExtraBandwidths is an option to SmoothKernelDistribution that controls the behavior outside that data range.", + "MaxExtraConditions":"MaxExtraConditions is an option to Solve and related functions that specifies how many extra equational conditions on continuous parameters to allow in solutions that are given.", + "MaxFeatureDisplacement":"MaxFeatureDisplacement is an option that specifies the maximum displacement allowed for any feature.", + "MaxFeatures":"MaxFeatures is an option that specifies the maximum number of features that will be returned from feature detection algorithms.", + "MaxFilter":"RowBox[{\"MaxFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the maximum value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"MaxFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "MaximalBy":"RowBox[{\"MaximalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which the value of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is maximal.\nRowBox[{\"MaximalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the StyleBox[\"n\", \"TI\"] largest RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"MaximalBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MaximalBy that can be applied to an expression.", + "Maximize":"RowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"Maximize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", + "MaxItems":"MaxItems is an option that specifies the maximum number of items to be used or shown.", + "MaxIterations":"MaxIterations is an option that specifies the maximum number of iterations that should be tried in various built-in functions and algorithms.", + "MaxLimit":"RowBox[{\"MaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives the max limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"x\", \")\"}]}], \"TI\"]}]. \nRowBox[{\"MaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested max limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}]}]}]. \nRowBox[{\"MaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]}], \"]\"}] gives the multivariate max limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}].", + "MaxMemoryUsed":"RowBox[{\"MaxMemoryUsed\", \"[\", \"]\"}] gives the maximum number of bytes used to store all data for the current StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] session.\nRowBox[{\"MaxMemoryUsed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the maximum number of bytes used during the evaluation of StyleBox[\"expr\", \"TI\"].", + "MaxMixtureKernels":"MaxMixtureKernels is an option for SmoothKernelDistribution and related functions that specifies the maximum number and location of kernel functions to use in the estimation.", + "MaxPlotPoints":"MaxPlotPoints is an option for plotting functions like ArrayPlot and ListPlot3D that specifies the maximum number of points that will explicitly be included in the output. ", + "MaxPoints":"MaxPoints is an option for NIntegrate specifying the maximum total number of times to sample the integrand.", + "MaxRecursion":"MaxRecursion is an option for functions like NIntegrate and Plot that specifies how many recursive subdivisions can be made. ", + "MaxStableDistribution":"RowBox[{\"MaxStableDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a generalized maximum extreme value distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"σ\", \"TR\"], and shape parameter StyleBox[\"ξ\", \"TR\"].", + "MaxStepFraction":"MaxStepFraction is an option to functions like NDSolve that specifies the maximum fraction of the total range to cover in a single step.", + "MaxSteps":"MaxSteps is an option to functions like NDSolve that specifies the maximum number of steps to take in generating a result.", + "MaxStepSize":"MaxStepSize is an option to functions like NDSolve that specifies the maximum size of a single step used in generating a result.", + "MaxTrainingRounds":"MaxTrainingRounds is an option for NetTrain and related functions that specifies the maximum number of rounds of training to do.", + "MaxValue":"RowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"MaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", + "MaxwellDistribution":"RowBox[{\"MaxwellDistribution\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents a Maxwell distribution with scale parameter StyleBox[\"σ\", \"TR\"].", + "MaxWordGap":"MaxWordGap is an option for SearchAdjustment that specifies the number of words that can occur between the terms of a phrase.", + "McLaughlinGroupMcL":"RowBox[{\"McLaughlinGroupMcL\", \"[\", \"]\"}] represents the sporadic simple McLaughlin group McL.", + "Mean":"RowBox[{\"Mean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the statistical mean of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Mean\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the mean of the distribution StyleBox[\"dist\", \"TI\"].", + "MeanAbsoluteLossLayer":"RowBox[{\"MeanAbsoluteLossLayer\", \"[\", \"]\"}] represents a loss layer that computes the mean absolute loss between the \"Input\" port and \"Target\" port.", + "MeanClusteringCoefficient":"RowBox[{\"MeanClusteringCoefficient\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the mean clustering coefficient of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanClusteringCoefficient\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "MeanDegreeConnectivity":"RowBox[{\"MeanDegreeConnectivity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of StyleBox[\"k\", FontSlant -> \"Italic\"]-mean degree connectivity for the graph StyleBox[\"g\", \"TI\"] for successive RowBox[{RowBox[{StyleBox[\"k\", \"TI\"], \"=\", \"0\"}], \",\", \"1\", \",\", RowBox[{\"2\", StyleBox[\"…\", \"TR\"]}]}] .\nRowBox[{\"MeanDegreeConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of StyleBox[\"k\", FontSlant -> \"Italic\"]-mean in-degree connectivity for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanDegreeConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of StyleBox[\"k\", FontSlant -> \"Italic\"]-mean out-degree connectivity for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanDegreeConnectivity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "MeanDeviation":"RowBox[{\"MeanDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the mean absolute deviation from the mean of the elements in StyleBox[\"list\", \"TI\"].", + "MeanFilter":"RowBox[{\"MeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"MeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "MeanGraphDistance":"RowBox[{\"MeanGraphDistance\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the mean distance between all pairs of vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanGraphDistance\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "MeanNeighborDegree":"RowBox[{\"MeanNeighborDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of mean neighbor degrees of vertices for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanNeighborDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of mean neighbor in-degrees.\nRowBox[{\"MeanNeighborDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of mean neighbor out-degrees.\nRowBox[{\"MeanNeighborDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "MeanShift":"RowBox[{\"MeanShift\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] replaces each element in StyleBox[\"list\", \"TI\"] by the mean of the values of all elements that differ by less than StyleBox[\"d\", \"TI\"].\nRowBox[{\"MeanShift\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the list where only the specified parts SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] are replaced with mean-shifted values.\nRowBox[{\"MeanShift\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] mean shift of the pixel values in StyleBox[\"image\", \"TI\"].", + "MeanShiftFilter":"RowBox[{\"MeanShiftFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the mean of the pixels in a range-StyleBox[\"r\", \"TI\"] neighborhood and whose value is within a distance StyleBox[\"d\", \"TI\"].\nRowBox[{\"MeanShiftFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "MeanSquaredLossLayer":"RowBox[{\"MeanSquaredLossLayer\", \"[\", \"]\"}] represents a loss layer that computes the mean squared loss between its \"Input\" port and \"Target\" port.", + "Median":"RowBox[{\"Median\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the median of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Median\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the median of the distribution StyleBox[\"dist\", \"TI\"]. ", + "MedianDeviation":"RowBox[{\"MedianDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the median absolute deviation from the median of the elements in StyleBox[\"list\", \"TI\"].", + "MedianFilter":"RowBox[{\"MedianFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"] by replacing every value by the median in its range-StyleBox[\"r\", \"TI\"] neighborhood. \nRowBox[{\"MedianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "MedicalTestData":"RowBox[{\"MedicalTestData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the medical test StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MedicalTestData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified medical test entities.\nRowBox[{\"MedicalTestData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Medium":"Medium is a style or option setting that specifies that objects should be medium sized.", + "MeijerG":"RowBox[{\"MeijerG\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \"+\", StyleBox[\"1\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], RowBox[{StyleBox[\"m\", \"TI\"], \"+\", StyleBox[\"1\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the Meijer G function RowBox[{SubsuperscriptBox[\"G\", RowBox[{\"p\", \"q\"}], RowBox[{\"m\", \"n\"}]], \"(\", RowBox[{\"z\", \"\", GridBox[{{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}]}, {RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}]}}]}], \")\"}]. ", + "MeijerGReduce":"RowBox[{\"MeijerGReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single MeijerG object as a function of StyleBox[\"x\", \"TI\"].", + "MeixnerDistribution":"RowBox[{\"MeixnerDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] represents a Meixner distribution with location parameter StyleBox[\"m\", \"TI\"], scale parameter StyleBox[\"a\", \"TI\"], skew parameter StyleBox[\"b\", \"TI\"], and shape parameter StyleBox[\"d\", \"TI\"].", + "MellinConvolve":"RowBox[{\"MellinConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the Mellin convolution with respect to StyleBox[\"x\", \"TI\"] of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"].\nRowBox[{\"MellinConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Mellin convolution.", + "MellinTransform":"RowBox[{\"MellinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Mellin transform of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"MellinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Mellin transform of StyleBox[\"expr\", \"TI\"]. ", + "MemberQ":"RowBox[{\"MemberQ\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns True if an element of StyleBox[\"list\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and False otherwise. \nRowBox[{\"MemberQ\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] tests all parts of StyleBox[\"list\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"MemberQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of MemberQ that can be applied to an expression.", + "MemoryAvailable":"RowBox[{\"MemoryAvailable\", \"[\", \"]\"}] gives the estimated number of bytes readily available for storing additional data in the current Wolfram Language kernel session.", + "MemoryConstrained":"RowBox[{\"MemoryConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], stopping if more than StyleBox[\"b\", \"TI\"] bytes of memory are requested. \nRowBox[{\"MemoryConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] returns StyleBox[\"failexpr\", \"TI\"] if the memory constraint is not met. ", + "MemoryConstraint":"MemoryConstraint is an option for TestReport and VerificationTest that specifies how much memory (in bytes) the test is allowed to use.", + "MemoryInUse":"RowBox[{\"MemoryInUse\", \"[\", \"]\"}] gives the number of bytes currently being used to store all data in the current StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel session. \nRowBox[{\"MemoryInUse\", \"[\", \"$FrontEnd\", \"]\"}] gives the number of bytes used in the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end.", + "MengerMesh":"RowBox[{\"MengerMesh\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a mesh region representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Menger sponge. \nRowBox[{\"MengerMesh\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Menger sponge in dimension StyleBox[\"d\", \"TI\"].", + "MenuCommandKey":"MenuCommandKey is an option for cells that specifies the keyboard shortcut to be associated with a style listed in the StyleBox[\"Format ▶ Style\", \"MenuName\"] submenu.", + "MenuPacket":"RowBox[{\"MenuPacket\", \"[\", RowBox[{StyleBox[\"integer\", \"TI\"], \",\", StyleBox[\"string\", \"TI\"]}], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet indicating a menu request with title StyleBox[\"string\", \"TI\"].", + "MenuSortingValue":"MenuSortingValue is an option for cells and notebooks that specifies where a cell style, stylesheet, or palette is listed in the StyleBox[\"Format ▶ Style\", \"MenuName\"] submenu, StyleBox[\"Format ▶ Stylesheet\", \"MenuName\"] submenu, or StyleBox[\"Palettes\", \"MenuName\"] menu respectively.", + "MenuStyle":"MenuStyle is an option for menu-generating constructs that specifies the style to use in displaying menu items. ", + "MenuView":"RowBox[{\"MenuView\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which selecting the menu item with label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] displays SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"MenuView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] item be the one currently selected.\nRowBox[{\"MenuView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] associates values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] with successive menu items, and makes the item with value StyleBox[\"v\", \"TI\"] be the one currently selected. \nRowBox[{\"MenuView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes the menu items' labels to be successive integers.", + "Merge":"RowBox[{\"Merge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] merges the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]], using the function StyleBox[\"f\", \"TI\"] to combine values with the same key. \nRowBox[{\"Merge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an association in which values corresponding to identical keys are combined using StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Merge\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Merge that can be applied to an expression.", + "MergingFunction":"MergingFunction is an option for functions such as PersistentValue that specifies a function to apply to the list of values found.", + "MersennePrimeExponent":"RowBox[{\"MersennePrimeExponent\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Mersenne prime exponent.", + "MersennePrimeExponentQ":"RowBox[{\"MersennePrimeExponentQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns True if StyleBox[\"n\", \"TI\"] is a Mersenne prime exponent, and False otherwise.", + "Mesh":"Mesh is an option for Plot3D, DensityPlot, and other plotting functions that specifies what mesh should be drawn. ", + "MeshCellCentroid":"MeshCellCentroid is a property of MeshRegion and BoundaryMeshRegion objects that gives the centroids of mesh cells.", + "MeshCellCount":"RowBox[{\"MeshCellCount\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of counts SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"d\", \"TI\"]] of cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"]. \nRowBox[{\"MeshCellCount\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the total count of cells of dimension StyleBox[\"d\", \"TI\"].\nRowBox[{\"MeshCellCount\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the total count of cells specified by StyleBox[\"cellspec\", \"TI\"].", + "MeshCellHighlight":"MeshCellHighlight is an option and property of MeshRegion, BoundaryMeshRegion, and related functions that specifies mesh cells to highlight.", + "MeshCellIndex":"RowBox[{\"MeshCellIndex\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the cell indices for cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"MeshCellIndex\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the cell indices for the cells specified by StyleBox[\"cellspec\", \"TI\"].", + "MeshCellLabel":"MeshCellLabel is an option to MeshRegion, BoundaryMeshRegion and related functions that specifies labels and placements for mesh cells. ", + "MeshCellMarker":"MeshCellMarker is an option to MeshRegion and BoundaryMeshRegion that specifies integer markers to associate with mesh cells. ", + "MeshCellMeasure":"MeshCellMeasure is a property of MeshRegion and BoundaryMeshRegion objects that gives the measures of mesh cells.", + "MeshCellQuality":"MeshCellQuality is a property of MeshRegion and BoundaryMeshRegion objects that gives a quality measure for mesh cells.", + "MeshCells":"RowBox[{\"MeshCells\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"MeshCells\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the cells specified by StyleBox[\"cellspec\", \"TI\"]. ", + "MeshCellShapeFunction":"MeshCellShapeFunction is an option and property for MeshRegion, BoundaryMeshRegion, and related functions that specifies functions to use to generate primitives for rendering mesh cells.", + "MeshCellStyle":"MeshCellStyle is an option and property of MeshRegion, BoundaryMeshRegion, and related functions that specifies styles to use for mesh cells. ", + "MeshCoordinates":"RowBox[{\"MeshCoordinates\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] gives a list of coordinates in the mesh region StyleBox[\"mreg\", \"TI\"].", + "MeshFunctions":"MeshFunctions is an option for plotting functions that specifies functions to use to determine the placement of mesh divisions. ", + "MeshPrimitives":"RowBox[{\"MeshPrimitives\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the graphics primitives for cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"MeshPrimitives\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the primitives specified by StyleBox[\"cellspec\", \"TI\"].", + "MeshQualityGoal":"MeshQualityGoal is an option for DiscretizeRegion and related functions that specifies a mesh cell quality goal for the result.", + "MeshRefinementFunction":"MeshRefinementFunction is an option for DiscretizeRegion and related functions that specifies a function to indicate whether mesh cells should be refined or not.", + "MeshRegion":"RowBox[{\"MeshRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with cells SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"j\", \"TI\"]], where coordinates given as integer StyleBox[\"i\", \"TI\"] are taken to be SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"MeshRegion\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with cell properties defined by the symbolic wrapper SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "MeshRegionQ":"RowBox[{\"MeshRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] yields True if the region StyleBox[\"reg\", \"TI\"] is a valid MeshRegion object and False otherwise.", + "MeshShading":"MeshShading is an option for plotting functions that gives lists of colors to use for regions between mesh divisions. ", + "MeshStyle":"MeshStyle is an option for Plot3D, DensityPlot, and other plotting functions that specifies the style in which to draw a mesh. ", + "Message":"RowBox[{\"Message\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] prints the message RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}] unless it has been switched off. \nRowBox[{\"Message\", \"[\", RowBox[{RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] prints a message, inserting the values of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] as needed. ", + "MessageDialog":"RowBox[{\"MessageDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] puts up a standard message dialog that displays StyleBox[\"expr\", \"TI\"] together with an StyleBox[\"OK\", \"DialogElementName\"] button.\nRowBox[{\"MessageDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes buttons with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] that evaluate the corresponding SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] if clicked.", + "MessageList":"RowBox[{\"MessageList\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object assigned to be a list of the names of messages generated during the processing of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] input line. ", + "MessageName":"RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}] is a name for a message. ", + "MessagePacket":"RowBox[{\"MessagePacket\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \",\", StyleBox[\"string\", \"TI\"]}], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet containing a StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] message identifier of the form RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"string\", \"TI\"]}].", + "Messages":"RowBox[{\"Messages\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives all the messages assigned to a particular symbol. ", + "MetaCharacters":"MetaCharacters is an option to StringPosition. With RowBox[{\"MetaCharacters\", \" \", \"->\", \" \", \"None\"}], no strings have special meanings. RowBox[{\"MetaCharacters\", \" \", \"->\", \" \", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}] specifies the metacharacters for pattern escape, single character matching and multiple character matching. RowBox[{\"MetaCharacters\", \" \", \"->\", \" \", \"Automatic\"}] is equivalent to MetaCharacters -> {\"\\\\\", \".\", \"*\"}.", + "MetaInformation":"MetaInformation is an option giving meta-information for Image, CloudObject, and other objects.", + "MeteorShowerData":"RowBox[{\"MeteorShowerData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the meteor shower StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MeteorShowerData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified meteor shower entities.\nRowBox[{\"MeteorShowerData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Method":"Method is an option for various algorithm-intensive functions that specifies what internal methods they should use.", + "MexicanHatWavelet":"RowBox[{\"MexicanHatWavelet\", \"[\", \"]\"}] represents the Mexican hat wavelet of width 1.\nRowBox[{\"MexicanHatWavelet\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents the Mexican hat wavelet of width StyleBox[\"σ\", \"TR\"].", + "MeyerWavelet":"RowBox[{\"MeyerWavelet\", \"[\", \"]\"}] represents the Meyer wavelet of order 3.\nRowBox[{\"MeyerWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the Meyer wavelet of order StyleBox[\"n\", \"TI\"] evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", \"10\"}], \",\", \"10\"}], \"}\"}].\nRowBox[{\"MeyerWavelet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"lim\", \"TI\"]}], \"]\"}] represents the Meyer wavelet of order StyleBox[\"n\", \"TI\"] evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", StyleBox[\"lim\", \"TI\"]}], \",\", StyleBox[\"lim\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]. ", + "Min":"RowBox[{\"Min\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the numerically smallest of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Min\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the smallest element of any of the lists. ", + "MinColorDistance":"MinColorDistance is an option for DominantColors that specifies the minimum distance between returned colors.", + "MinDetect":"RowBox[{\"MinDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to constant extended minima in StyleBox[\"image\", \"TI\"].\nRowBox[{\"MinDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] finds extended minima where the range of values is not greater than StyleBox[\"h\", \"TI\"].\nRowBox[{\"MinDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies minima detection to an array of data.", + "MineralData":"RowBox[{\"MineralData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the mineral StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MineralData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified mineral entities.\nRowBox[{\"MineralData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "MinFilter":"RowBox[{\"MinFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the minimum value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"MinFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "MinimalBy":"RowBox[{\"MinimalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which the value of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is minimal.\nRowBox[{\"MinimalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the StyleBox[\"n\", \"TI\"] smallest RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"MinimalBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MinimalBy that can be applied to an expression.", + "MinimalPolynomial":"RowBox[{\"MinimalPolynomial\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the minimal polynomial in StyleBox[\"x\", \"TI\"] for which the algebraic number StyleBox[\"s\", \"TI\"] is a root. ", + "MinimalStateSpaceModel":"RowBox[{\"MinimalStateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the minimal state-space model of the state-space model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"MinimalStateSpaceModel\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the new coordinates SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Minimize":"RowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"Minimize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", + "MinimumTimeIncrement":"RowBox[{\"MinimumTimeIncrement\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] gives the minimum time increment in the time series StyleBox[\"tseries\", \"TI\"].", + "MinIntervalSize":"MinIntervalSize is an option for IntervalSlider that specifies the minimum size of the interval during interactive editing.", + "MinkowskiQuestionMark":"RowBox[{\"MinkowskiQuestionMark\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives Minkowski's question mark function RowBox[{\"?\", \"(x)\"}].", + "MinLimit":"RowBox[{\"MinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives the min limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"x\", \")\"}]}], \"TI\"]}]. \nRowBox[{\"MinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested min limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}]}]}]. \nRowBox[{\"MinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]}], \"]\"}] gives the multivariate min limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}].", + "MinMax":"RowBox[{\"MinMax\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \",\", RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]}], \"}\"}].\nRowBox[{\"MinMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", StyleBox[\"δ\", \"TR\"]}], \",\", \" \", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"+\", StyleBox[\"δ\", \"TR\"]}]}], \"}\"}].\nRowBox[{\"MinMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", StyleBox[\"δ\", \"TR\"]}], \",\", \" \", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"+\", StyleBox[\"δ\", \"TR\"]}]}], \"}\"}] where RowBox[{StyleBox[\"δ\", \"TR\"], \"=\", RowBox[{StyleBox[\"s\", \"TI\"], \"×\", RowBox[{\"(\", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]}], \")\"}]}]}].\nRowBox[{\"MinMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"min\", \"TI\"]]}], \",\", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"+\", SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}]}], \"}\"}].", + "MinorPlanetData":"RowBox[{\"MinorPlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the minor planet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MinorPlanetData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified minor planet entities.\nRowBox[{\"MinorPlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Minors":"RowBox[{\"Minors\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the minors of a matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Minors\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"k\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] minors. ", + "MinRecursion":"MinRecursion is an option for NIntegrate and other numerical functions that use a recursive algorithm. With RowBox[{\"MinRecursion\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}], a minimum depth of recursion of StyleBox[\"n\", \"TI\"] is used before tests for convergence begin.", + "MinSize":"MinSize is an option of certain BoxForm primitives.", + "MinStableDistribution":"RowBox[{\"MinStableDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a generalized minimum extreme value distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"σ\", \"TR\"], and shape parameter StyleBox[\"ξ\", \"TR\"].", + "Minus":"RowBox[{\"-\", StyleBox[\"x\", \"TI\"]}] is the arithmetic negation of StyleBox[\"x\", \"TI\"]. ", + "MinusPlus":"RowBox[{\"MinusPlus\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"∓\", \"x\"}].\nRowBox[{\"MinusPlus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{RowBox[{\"x\", \"∓\", \"y\"}], \"∓\", \"…\"}].", + "MinValue":"RowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"MinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", + "Missing":"RowBox[{\"Missing\", \"[\", \"]\"}] represents data that is missing.\nRowBox[{\"Missing\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"reason\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] specifies a reason for the data's being missing.\nRowBox[{\"Missing\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"reason\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] associates the expression StyleBox[\"expr\", \"TI\"] with the missing data. ", + "MissingBehavior":"MissingBehavior is an option to Query and related functions that specifies how expressions with head Missing should be interpreted in the context of other functions.", + "MissingDataMethod":"MissingDataMethod is an option to TemporalData and other functions that controls how to process missing data. ", + "MissingDataRules":"MissingDataRules is an option for SemanticImport and related functions that specifies what should be considered \"missing\" and what to replace it with.", + "MissingQ":"RowBox[{\"MissingQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] has head Missing.", + "MissingString":"MissingString is an option for TextString and related functions that indicates how an expression with head Missing should be converted to a string.", + "MissingStyle":"MissingStyle is an option for GeoRegionValuePlot that specifies how locations with missing data should be displayed.", + "MittagLefflerE":"RowBox[{\"MittagLefflerE\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Mittag–Leffler function RowBox[{SubscriptBox[\"E\", \"α\"], \"(\", \"z\", \")\"}].\nRowBox[{\"MittagLefflerE\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the generalized Mittag–Leffler function RowBox[{SubscriptBox[\"E\", RowBox[{\"α\", \",\", \"β\"}]], \"(\", \"z\", \")\"}].", + "MixedGraphQ":"RowBox[{\"MixedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a mixed graph and False otherwise. ", + "MixedMagnitude":"RowBox[{\"MixedMagnitude\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a mixed-magnitude expression consisting of values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]].", + "MixedRadix":"RowBox[{\"MixedRadix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the list of bases of a numerical system in which different digits have different bases.", + "MixedRadixQuantity":"RowBox[{\"MixedRadixQuantity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a single Quantity expressed using an additive sequence of compatible StyleBox[\"units\", \"TI\"] with magnitude StyleBox[\"values\", \"TI\"].", + "MixedUnit":"RowBox[{\"MixedUnit\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a mixed-unit expression consisting of units SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"n\", \"TI\"]].", + "MixtureDistribution":"RowBox[{\"MixtureDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]], each with weight SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Mod":"RowBox[{\"Mod\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the remainder on division of StyleBox[\"m\", \"TI\"] by StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Mod\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses an offset StyleBox[\"d\", \"TI\"]. ", + "Modal":"Modal is an option to functions such as CreateDialog that specifies whether the dialog that is created should be modal to the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end.", + "Mode":"Mode is an option to Solve and related functions that specifies in what sense the equations are to be solved. The possible settings for Mode are Generic, Modular, and Rational.", + "Modular":"Modular is a setting for the option Mode in Solve and related functions, which specifies that equations need be satisfied only modulo an integer.", + "ModularInverse":"RowBox[{\"ModularInverse\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the modular inverse of StyleBox[\"k\", \"TI\"] modulo StyleBox[\"n\", \"TI\"].", + "ModularLambda":"RowBox[{\"ModularLambda\", \"[\", StyleBox[\"τ\", \"TR\"], \"]\"}] gives the modular lambda elliptic function RowBox[{\"λ\", \"(\", \"τ\", \")\"}]. ", + "Module":"RowBox[{\"Module\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies that occurrences of the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in StyleBox[\"expr\", \"TI\"] should be treated as local. \nRowBox[{\"Module\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] defines initial values for StyleBox[\"x\", \"TI\"], …. ", + "Modulus":"RowBox[{\"Modulus\", \"\", StyleBox[\"n\", \"TI\"]}] is an option that can be given in certain algebraic functions to specify that integers should be treated modulo StyleBox[\"n\", \"TI\"]. ", + "MoebiusMu":"RowBox[{\"MoebiusMu\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Möbius function RowBox[{\"μ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}]. ", + "Moment":"RowBox[{\"Moment\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] sample moment of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Moment\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] moment of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Moment\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]SuperscriptBox[\"\", \"th\"] multivariate moment. \nRowBox[{\"Moment\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] formal moment. ", + "MomentConvert":"RowBox[{\"MomentConvert\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] converts the moment expression StyleBox[\"mexpr\", \"TI\"] to the specified form. ", + "MomentEvaluate":"RowBox[{\"MomentEvaluate\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] evaluates formal moments in the moment expression StyleBox[\"mexpr\", \"TI\"] on the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"MomentEvaluate\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] evaluates formal moments and formal sample moments in StyleBox[\"mexpr\", \"TI\"] on the data StyleBox[\"list\", \"TI\"]. \nRowBox[{\"MomentEvaluate\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] evaluates formal moments on the distribution StyleBox[\"dist\", \"TI\"] and formal sample moments on the data StyleBox[\"list\", \"TI\"]. ", + "MomentGeneratingFunction":"RowBox[{\"MomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the moment-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"MomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the moment-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], … . ", + "MomentOfInertia":"RowBox[{\"MomentOfInertia\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"pt\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] computes the moment of inertia for the region StyleBox[\"reg\", \"TI\"] rotating around an axis through the point StyleBox[\"pt\", \"TI\"] in direction StyleBox[\"v\", \"TI\"].\nRowBox[{\"MomentOfInertia\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] computes the moment of inertia matrix for the region StyleBox[\"reg\", \"TI\"] relative to the center of mass.\nRowBox[{\"MomentOfInertia\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"pt\", \"TI\"]}], \"]\"}] computes the moment of inertia matrix relative to the point StyleBox[\"pt\", \"TI\"].", + "Monday":"Monday is a day of the week.", + "Monitor":"RowBox[{\"Monitor\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"mon\", \"TI\"]}], \"]\"}] generates a temporary monitor cell in which the continually updated current value of StyleBox[\"mon\", \"TI\"] is displayed during the course of evaluation of StyleBox[\"expr\", \"TI\"]. ", + "MonomialList":"RowBox[{\"MonomialList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives the list of all monomials in the polynomial StyleBox[\"poly\", \"TI\"].\nRowBox[{\"MonomialList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list of monomials with respect to the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] in poly.\nRowBox[{\"MonomialList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"order\", \"TI\"]}], \"]\"}] puts the monomials in the specified order.", + "MonsterGroupM":"RowBox[{\"MonsterGroupM\", \"[\", \"]\"}] represents the sporadic simple monster group StyleBox[\"M\", FontSlant -> \"Plain\"].", + "MoonPhase":"RowBox[{\"MoonPhase\", \"[\", \"]\"}] gives moon phase fraction of illumination for the current date.\nRowBox[{\"MoonPhase\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives moon phase fraction of illumination for the specified date.\nRowBox[{\"MoonPhase\", \"[\", StyleBox[\"property\", \"TI\"], \"]\"}] gives the property of the moon phase for the current date.\nRowBox[{\"MoonPhase\", \"[\", RowBox[{StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the property of the moon phase for the specified date.", + "MoonPosition":"RowBox[{\"MoonPosition\", \"[\", \"]\"}] gives the position of the Moon for the current date and location.\nRowBox[{\"MoonPosition\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the position of the Moon for the specified date.\nRowBox[{\"MoonPosition\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the position of the Moon for the specified location.\nRowBox[{\"MoonPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the position of the Moon for the specified date and location.\nRowBox[{\"MoonPosition\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the positions of the Moon for all specified locations on the specified dates.\nRowBox[{\"MoonPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", + "MorletWavelet":"RowBox[{\"MorletWavelet\", \"[\", \"]\"}] represents a Morlet wavelet. ", + "MorphologicalBinarize":"RowBox[{\"MorphologicalBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] creates a binary image from StyleBox[\"image\", \"TI\"] by replacing all values above the upper threshold SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with 1, also including pixels with intensities above the lower threshold SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] that are connected to the foreground.\nRowBox[{\"MorphologicalBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses StyleBox[\"t\", \"TI\"] as the upper threshold, automatically choosing a suitable value for the lower threshold.\nRowBox[{\"MorphologicalBinarize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] chooses the lower and the upper threshold automatically.", + "MorphologicalBranchPoints":"RowBox[{\"MorphologicalBranchPoints\", \"[\", StyleBox[\"image\", \"TI\"], StyleBox[\"]\", \"TI\"]}] gives a version of a binary image StyleBox[\"image\", \"TI\"] in which white pixels represent the morphological branch points.", + "MorphologicalComponents":"RowBox[{\"MorphologicalComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives an array in which each pixel of StyleBox[\"image\", \"TI\"] is replaced by an integer index representing the connected foreground image component in which the pixel lies.\nRowBox[{\"MorphologicalComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "MorphologicalEulerNumber":"RowBox[{\"MorphologicalEulerNumber\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] computes the morphological Euler number of regions in a binary image.\nRowBox[{\"MorphologicalEulerNumber\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "MorphologicalGraph":"RowBox[{\"MorphologicalGraph\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a graph object that represents the connectivity of the morphological branch points and endpoints of the objects in StyleBox[\"image\", \"TI\"] after applying morphological thinning.", + "MorphologicalPerimeter":"RowBox[{\"MorphologicalPerimeter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] picks out the morphological perimeter of regions of foreground in StyleBox[\"image\", \"TI\"].\nRowBox[{\"MorphologicalPerimeter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "MorphologicalTransform":"RowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the 3×3 neighborhood of each pixel in a binary image StyleBox[\"image\", \"TI\"].\nRowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"rule\", \"TI\"]}], \"]\"}] applies a morphological transformation specified by a rule number StyleBox[\"rule\", \"TI\"].\nRowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses a named transformation \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"transformation\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"n\", \"TI\"] iterations of StyleBox[\"transformation\", \"TI\"] on StyleBox[\"image\", \"TI\"].", + "MortalityData":"RowBox[{\"MortalityData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] gives the values of all properties for the specified demographic.\nRowBox[{\"MortalityData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the specified demographic.", + "Most":"RowBox[{\"Most\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with the last element removed. ", + "MountainData":"RowBox[{\"MountainData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the mountain StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MountainData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified mountain entities.\nRowBox[{\"MountainData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "MouseAnnotation":"RowBox[{\"MouseAnnotation\", \"[\", \"]\"}] gives any mouse annotation associated with the expression at the current mouse position. ", + "MouseAppearance":"RowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"graphic\", \"TI\"]}], \"]\"}] changes the mouse cursor to appear as StyleBox[\"graphic\", \"TI\"] when the mouse pointer is in the area where StyleBox[\"expr\", \"TI\"] is displayed.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"graphic\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] uses the coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in the graphic as the hotspot for the mouse cursor.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"graphic\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}]}], \"]\"}] uses the scaled coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] as the hotspot for the mouse cursor.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cursorname\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the named cursor \"StyleBox[\"cursorname\", \"TI\"]\" as the mouse cursor.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Automatic\"}], \"]\"}] reverts to normal mouse cursor behavior.", + "MouseButtons":"RowBox[{\"MouseButtons\", \"[\", \"]\"}] gives a list of the mouse buttons currently being pressed.", + "Mouseover":"RowBox[{\"Mouseover\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"over\", \"TI\"]}], \"]\"}] represents an object that displays as StyleBox[\"over\", \"TI\"] when the mouse pointer is over it, and as StyleBox[\"expr\", \"TI\"] otherwise. ", + "MousePosition":"RowBox[{\"MousePosition\", \"[\", \"]\"}] gives the current mouse position in the notebook front end. \nRowBox[{\"MousePosition\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the mouse position with respect to the specified coordinate system.\nRowBox[{\"MousePosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] returns StyleBox[\"def\", \"TI\"] if the mouse is not over an object that defines the specified coordinate system.", + "MovieData":"RowBox[{\"MovieData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the movie StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MovieData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified movie entities.\nRowBox[{\"MovieData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "MovingAverage":"RowBox[{\"MovingAverage\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the moving average of StyleBox[\"list\", \"TI\"], computed by averaging runs of StyleBox[\"r\", \"TI\"] elements.\nRowBox[{\"MovingAverage\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the moving average of StyleBox[\"list\", \"TI\"], computed with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "MovingMap":"RowBox[{\"MovingMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to size StyleBox[\"w\", \"TI\"] windows in the specified StyleBox[\"data\", \"TI\"].\nRowBox[{\"MovingMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wspec\", \"TI\"]}], \"]\"}] uses windows specified by StyleBox[\"wspec\", \"TI\"].\nRowBox[{\"MovingMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wspec\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] pads StyleBox[\"data\", \"TI\"] using StyleBox[\"padding\", \"TI\"].", + "MovingMedian":"RowBox[{\"MovingMedian\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the moving median of StyleBox[\"list\", \"TI\"], computed using spans of StyleBox[\"r\", \"TI\"] elements.", + "MoyalDistribution":"RowBox[{\"MoyalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Moyal distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"MoyalDistribution\", \"[\", \"]\"}] represents a Moyal distribution with location parameter 0 and scale parameter 1.", + "Multicolumn":"RowBox[{\"Multicolumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"cols\", \"TI\"]}], \"]\"}] is an object that formats with the elements of StyleBox[\"list\", \"TI\"] arranged in a grid with the indicated number of columns.\nRowBox[{\"Multicolumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"rows\", \"TI\"], \",\", \"Automatic\"}], \"}\"}]}], \"]\"}] formats as a grid with the indicated number of rows.\nRowBox[{\"Multicolumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"rows\", \"TI\"], \",\", StyleBox[\"cols\", \"TI\"]}], \"}\"}]}], \"]\"}] formats as a grid with the indicated number of rows and columns.\nRowBox[{\"Multicolumn\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] formats with the elements of StyleBox[\"list\", \"TI\"] in a roughly square arrangement.", + "MultiedgeStyle":"MultiedgeStyle is an option for GraphPlot and related functions that specifies how to draw multiple edges.", + "MultigraphQ":"RowBox[{\"MultigraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a multigraph and False otherwise.", + "MultilaunchWarning":"MultilaunchWarning is a global option that specifies whether a warning is given when you try to modify user preferences while running two copies of StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] simultaneously.", + "MultilineFunction":"MultilineFunction is an option for UnderscriptBox and related box objects that specifies what to do when the contents of a box object are too long to fit on one line.", + "Multinomial":"RowBox[{\"Multinomial\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the multinomial coefficient RowBox[{RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \"+\", SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \"+\", \"…\"}], \")\"}], \"!\"}], \"\/\", RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \"!\"}], \" \", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \"!\"}], \" \", \"…\"}], \")\"}]}]. ", + "MultinomialDistribution":"RowBox[{\"MultinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a multinomial distribution with StyleBox[\"n\", \"TI\"] trials and probabilities SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "MultinormalDistribution":"RowBox[{\"MultinormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a multivariate normal (Gaussian) distribution with mean vector StyleBox[\"μ\", \"TR\"] and covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"MultinormalDistribution\", \"[\", StyleBox[\"Σ\", \"TR\"], \"]\"}] represents a multivariate normal distribution with zero mean and covariance matrix StyleBox[\"Σ\", \"TR\"].", + "MultiplicativeOrder":"RowBox[{\"MultiplicativeOrder\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the multiplicative order of StyleBox[\"k\", \"TI\"] modulo StyleBox[\"n\", \"TI\"], defined as the smallest integer StyleBox[\"m\", \"TI\"] such that RowBox[{SuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"≡\", RowBox[{\"1\", \"mod\", \" \", StyleBox[\"n\", \"TI\"]}]}]. \nRowBox[{\"MultiplicativeOrder\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the generalized multiplicative order of StyleBox[\"k\", \"TI\"] modulo StyleBox[\"n\", \"TI\"], defined as the smallest integer StyleBox[\"m\", \"TI\"] such that RowBox[{SuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"≡\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"mod\", \" \", StyleBox[\"n\", \"TI\"]}]}] for some StyleBox[\"i\", \"TI\"]. ", + "Multiplicity":"Multiplicity is an option to Roots. RowBox[{\"Multiplicity\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] specifies that the multiplicity of each of the roots is StyleBox[\"n\", \"TI\"] in the final result.", + "MultiplySides":"RowBox[{\"MultiplySides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] multiplies each side of the equation or inequality StyleBox[\"rel\", \"TI\"] by StyleBox[\"x\", \"TI\"].\nRowBox[{\"MultiplySides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] multiplies the corresponding sides of two equations or inequalities.", + "Multiselection":"Multiselection is an option to ListPicker that specifies whether multiple values may be selected.", + "MultivariateHypergeometricDistribution":"RowBox[{\"MultivariateHypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a multivariate hypergeometric distribution with StyleBox[\"n\", \"TI\"] draws without replacement from a collection containing SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] objects of type StyleBox[\"i\", \"TI\"]. ", + "MultivariatePoissonDistribution":"RowBox[{\"MultivariatePoissonDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a multivariate Poisson distribution with mean vector RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \"+\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \"+\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "MultivariateTDistribution":"RowBox[{\"MultivariateTDistribution\", \"[\", RowBox[{StyleBox[\"Σ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents the multivariate Student t distribution with scale matrix StyleBox[\"Σ\", \"TR\"] and degrees of freedom parameter StyleBox[\"ν\", \"TR\"].\nRowBox[{\"MultivariateTDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents the multivariate Student t distribution with location StyleBox[\"μ\", \"TR\"], scale matrix StyleBox[\"Σ\", \"TR\"], and StyleBox[\"ν\", \"TR\"] degrees of freedom.", + "N":"RowBox[{\"N\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the numerical value of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"N\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] attempts to give a result with StyleBox[\"n\", \"TI\"]‐digit precision. ", + "NakagamiDistribution":"RowBox[{\"NakagamiDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] represents a Nakagami distribution with shape parameter StyleBox[\"μ\", \"TR\"] and spread parameter StyleBox[\"ω\", \"TR\"].", + "NameQ":"RowBox[{\"NameQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields True if there are any symbols whose names match the string pattern given, and yields False otherwise. ", + "Names":"RowBox[{\"Names\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the names of symbols that match the string. \nRowBox[{\"Names\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] gives a list of names matching the arbitrary string pattern StyleBox[\"patt\", \"TI\"].", + "Nand":"RowBox[{\"Nand\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical NAND function. It evaluates its arguments in order, giving True immediately if any of them are False, and False if they are all True. ", + "NArgMax":"RowBox[{\"NArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is numerically maximized.\nRowBox[{\"NArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is numerically maximized.\nRowBox[{\"NArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is numerically maximized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NArgMax\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", + "NArgMin":"RowBox[{\"NArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is numerically minimized.\nRowBox[{\"NArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is numerically minimized.\nRowBox[{\"NArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is numerically minimized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NArgMin\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", + "NBernoulliB":"RowBox[{\"NBernoulliB\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the numerical value of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Bernoulli number. \nRowBox[{\"NBernoulliB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", \" \", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the result to StyleBox[\"d\", \"TI\"]-digit precision.", + "NCache":"RowBox[{\"NCache\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"xn\", \"TI\"]}], \"]\"}] represents a numeric cache object for a quantity with exact value StyleBox[\"x\", \"TI\"] and approximate numerical value StyleBox[\"xn\", \"TI\"].", + "NDEigensystem":"RowBox[{\"NDEigensystem\", \"[\", RowBox[{RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues and eigenfunctions for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{RowBox[{\"NDEigensystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \" \"}] gives eigenvalues and eigenfunctions for the coupled differential operators RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDEigensystem\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues and eigenfunctions in the spatial variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for solutions RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}] of the coupled time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", + "NDEigenvalues":"RowBox[{\"NDEigenvalues\", \"[\", RowBox[{RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{RowBox[{\"NDEigenvalues\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \" \"}] gives eigenvalues for the coupled differential operators RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDEigenvalues\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues in the spatial variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for solutions RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}] of the coupled time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", + "NDSolve":"RowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] for the function StyleBox[\"u\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] solves for the functions SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "NDSolveValue":"RowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] with functions determined by a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", + "Nearest":"RowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the list of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest. \nRowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest. \nRowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the same result. \nRowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"prop\", \"TI\"]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] for the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest.\nRowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] effectively gives RowBox[{\"{\", RowBox[{RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] nearest SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] or fewer nearest SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"x\", \"TI\"] that are within radius StyleBox[\"r\", \"TI\"] of StyleBox[\"x\", \"TI\"].\nRowBox[{\"Nearest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] generates a RowBox[{\"NearestFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"x\", \"TI\"]. ", + "NearestFunction":"RowBox[{\"NearestFunction\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a function whose values give the elements closest to an element that is supplied.", + "NearestNeighborGraph":"RowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a graph with vertices RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}] and edges connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to its nearest neighbors.\nRowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a graph connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to its StyleBox[\"k\", \"TI\"] nearest neighbors.\nRowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a graph connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to at most StyleBox[\"k\", \"TI\"] nearest vertices within radius StyleBox[\"r\", \"TI\"] of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"All\", \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a graph connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to all vertices within radius StyleBox[\"r\", \"TI\"] of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "NearestTo":"RowBox[{\"NearestTo\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"elems\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] when applied to a list StyleBox[\"elems\", \"TI\"].\nRowBox[{\"NearestTo\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is an operator form that yields RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"elems\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"n\", \"TI\"]}], \"]\"}] when applied to a list StyleBox[\"elems\", \"TI\"].\nRowBox[{\"NearestTo\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] is an operator form that yields RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"elems\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] when applied to a list StyleBox[\"elems\", \"TI\"].", + "NebulaData":"RowBox[{\"NebulaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the nebula StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NebulaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified nebula entities.\nRowBox[{\"NebulaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "NeedlemanWunschSimilarity":"RowBox[{\"NeedlemanWunschSimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a number representing the Needleman–Wunsch similarity between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "Needs":"RowBox[{\"Needs\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] loads an appropriate file if the specified context is not already in $Packages. \nRowBox[{\"Needs\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] loads StyleBox[\"file\", \"TI\"] if the specified context is not already in $Packages. ", + "Negative":"RowBox[{\"Negative\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a negative number. ", + "NegativeBinomialDistribution":"RowBox[{\"NegativeBinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a negative binomial distribution with parameters StyleBox[\"n\", \"TI\"] and StyleBox[\"p\", \"TI\"].", + "NegativeDefiniteMatrixQ":"RowBox[{\"NegativeDefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly negative definite, and False otherwise.", + "NegativeMultinomialDistribution":"RowBox[{\"NegativeMultinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a negative multinomial distribution with parameter StyleBox[\"n\", \"TI\"] and failure probability vector StyleBox[\"p\", \"TI\"].", + "NegativeSemidefiniteMatrixQ":"RowBox[{\"NegativeSemidefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly negative semidefinite, and False otherwise.", + "NeighborhoodData":"RowBox[{\"NeighborhoodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the neighborhood StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NeighborhoodData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified neighborhood entities.\nRowBox[{\"NeighborhoodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "NeighborhoodGraph":"RowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the graph neighborhood of a vertex StyleBox[\"v\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the graph neighborhood of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that can be vertices, edges, or subgraphs of StyleBox[\"g\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the graph neighborhood of the vertices and edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the neighborhood up to distance StyleBox[\"d\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "Nest":"RowBox[{\"Nest\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives an expression with StyleBox[\"f\", \"TI\"] applied StyleBox[\"n\", \"TI\"] times to StyleBox[\"expr\", \"TI\"]. ", + "NestedGreaterGreater":"RowBox[{\"NestedGreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪢\", StyleBox[\"y\", \"TI\"], \"⪢\", StyleBox[\"…\", \"TR\"]}].", + "NestedLessLess":"RowBox[{\"NestedLessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪡\", StyleBox[\"y\", \"TI\"], \"⪡\", \"…\"}].", + "NestGraph":"RowBox[{\"NestGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph obtained by starting with StyleBox[\"expr\", \"TI\"] and applying StyleBox[\"f\", \"TI\"] successively StyleBox[\"n\", \"TI\"] times.\nRowBox[{\"NestGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph obtained by applying StyleBox[\"f\", \"TI\"] to SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"NestGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"graph\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph obtained by applying StyleBox[\"f\", \"TI\"] to the vertices of StyleBox[\"graph\", \"TI\"] and extending the StyleBox[\"graph\", \"TI\"].", + "NestList":"RowBox[{\"NestList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the results of applying StyleBox[\"f\", \"TI\"] to StyleBox[\"expr\", \"TI\"] 0 through StyleBox[\"n\", \"TI\"] times. ", + "NestWhile":"RowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] starts with StyleBox[\"expr\", \"TI\"], then repeatedly applies StyleBox[\"f\", \"TI\"] until applying StyleBox[\"test\", \"TI\"] to the result no longer yields True. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] supplies the most recent StyleBox[\"m\", \"TI\"] results as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", \"All\"}], \"]\"}] supplies all results so far as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] at most StyleBox[\"max\", \"TI\"] times. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] an extra StyleBox[\"n\", \"TI\"] times. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] returns the result found when StyleBox[\"f\", \"TI\"] had been applied StyleBox[\"n\", \"TI\"] fewer times. ", + "NestWhileList":"RowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] generates a list of the results of applying StyleBox[\"f\", \"TI\"] repeatedly, starting with StyleBox[\"expr\", \"TI\"], and continuing until applying StyleBox[\"test\", \"TI\"] to the result no longer yields True. \nRowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] supplies the most recent StyleBox[\"m\", \"TI\"] results as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", \"All\"}], \"]\"}] supplies all results so far as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] at most StyleBox[\"max\", \"TI\"] times. ", + "NetAppend":"RowBox[{\"NetAppend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"layer\", \"TI\"]}], \"]\"}] appends a layer onto a NetChain.\nRowBox[{\"NetAppend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] appends several layers to a NetChain.", + "NetBidirectionalOperator":"RowBox[{\"NetBidirectionalOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net that applies StyleBox[\"net\", \"TI\"] to a sequence and to its reverse, concatenating both results into one output sequence.\nRowBox[{\"NetBidirectionalOperator\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"fnet\", \"TI\"], \",\", StyleBox[\"bnet\", \"TI\"]}], \"}\"}], \"]\"}] uses StyleBox[\"fnet\", \"TI\"] on the normal input and StyleBox[\"bnet\", \"TI\"] on the reversed input.\nRowBox[{\"NetBidirectionalOperator\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"agg\", \"TI\"]}], \"]\"}] aggregates the two output sequences using the specified aggregation function.", + "NetChain":"RowBox[{\"NetChain\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] specifies a neural net in which the output of SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"i\", \"TI\"]] is connected to the input of SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[RowBox[{\"i\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]].\nRowBox[{\"NetChain\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] specifies a net consisting of a chain of explicitly named layers. ", + "NetDecoder":"RowBox[{\"NetDecoder\", \"[\", StyleBox[StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"TI\"], \"]\"}] represents a decoder that takes a net representation and decodes it into an expression of a given form.\nRowBox[{\"NetDecoder\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a decoder with additional parameters specified.", + "NetDelete":"RowBox[{\"NetDelete\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] deletes the StyleBox[\"n\", \"TI\"]RowBox[{SuperscriptBox[\"\", \"th\"], \" \", \"layer\"}] from a NetChain or NetGraph.\nRowBox[{\"NetDelete\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] deletes a named layer.\nRowBox[{\"NetDelete\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes several layers simultaneously.", + "NetDrop":"RowBox[{\"NetDrop\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] removes the first StyleBox[\"n\", \"TI\"] layers from a NetChain.\nRowBox[{\"NetDrop\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] removes the last StyleBox[\"n\", \"TI\"] layers from a NetChain.\nRowBox[{\"NetDrop\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] drops the layers between StyleBox[\"start\", \"TI\"] and StyleBox[\"end\", \"TI\"] in a NetChain.", + "NetEncoder":"RowBox[{\"NetEncoder\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an encoder that takes a given form of input and encodes it as a tensor for use in a net.\nRowBox[{\"NetEncoder\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an encoder with additional parameters specified.", + "NetEvaluationMode":"NetEvaluationMode is an option that can be given when applying neural net functions to input data, specifying whether the net should use training-specific behavior.", + "NetExtract":"RowBox[{\"NetExtract\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] extracts the value of a parameter for the specified net layer.\nRowBox[{\"NetExtract\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"lspec\", \"TI\"]}], \"]\"}] extracts the layer identified by StyleBox[\"lspec\", \"TI\"] from within the NetGraph or NetChain object StyleBox[\"net\", \"TI\"].\nRowBox[{\"NetExtract\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"lspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] extracts the value of the parameter StyleBox[\"param\", \"TI\"] from the layer identified by StyleBox[\"lspec\", \"TI\"] in StyleBox[\"net\", \"TI\"]. \nRowBox[{\"NetExtract\", \"[\", RowBox[{\"net\", \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts a set of elements, where each SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]] is a list.", + "NetFlatten":"RowBox[{\"NetFlatten\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] collapses nested NetChain and NetGraph objects within StyleBox[\"net\", \"TI\"].", + "NetFoldOperator":"RowBox[{\"NetFoldOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net in which StyleBox[\"net\", \"TI\"] is folded over a sequence of inputs, maintaining a recurrent state.", + "NetGraph":"RowBox[{\"NetGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies a neural net defined by a graph in which the output of layer SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] is given as input to layer SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetGraph\", \"[\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"m1\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"n1\", \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies a net with explicitly named layers.", + "NetInformation":"RowBox[{\"NetInformation\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives information about the specified property of the neural network StyleBox[\"net\", \"TI\"].\nRowBox[{\"NetInformation\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"net\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"net\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list containing the result for each SubscriptBox[StyleBox[\"net\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "NetInitialize":"RowBox[{\"NetInitialize\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] gives a net in which all uninitialized learnable parameters in StyleBox[\"net\", \"TI\"] have been given initial values.\nRowBox[{\"NetInitialize\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", \"All\"}], \"]\"}] gives a net in which all learnable parameters have been given initial values. ", + "NetInsert":"RowBox[{\"NetInsert\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"layer\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] inserts a layer into a NetChain before the layer at position StyleBox[\"i\", \"TI\"].\nRowBox[{\"NetInsert\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"->\", StyleBox[\"layer\", \"TI\"]}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pos\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] inserts a named layer into a NetChain before the layer at the given position.", + "NetInsertSharedArrays":"RowBox[{\"NetInsertSharedArrays\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] converts all ordinary arrays in StyleBox[\"net\", \"TI\"] into NetSharedArray objects.\nRowBox[{\"NetInsertSharedArrays\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prefix\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses a prefix for the names of all newly shared arrays. ", + "NetJoin":"RowBox[{\"NetJoin\", \"[\", RowBox[{SubscriptBox[StyleBox[\"chain\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"chain\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] connects a series of NetChain objects to form a single NetChain.", + "NetMapOperator":"RowBox[{\"NetMapOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net in which StyleBox[\"net\", \"TI\"] is mapped over a sequence of inputs to give a sequence of outputs.", + "NetModel":"RowBox[{\"NetModel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a neural net model with the specified name. \nRowBox[{\"NetModel\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives property StyleBox[\"prop\", \"TI\"] of the model.\nRowBox[{\"NetModel\", \"[\", \"]\"}] obtains a dataset of available pre-trained neural net models.", + "NetNestOperator":"RowBox[{\"NetNestOperator\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a net in which StyleBox[\"net\", \"TI\"] is applied StyleBox[\"n\", \"TI\"] times to the input.", + "NetPairEmbeddingOperator":"RowBox[{\"NetPairEmbeddingOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net that takes a pair of tensors, embeds them into a vector space using StyleBox[\"net\", \"TI\"], and outputs the distance under the embedding.\nRowBox[{\"NetPairEmbeddingOperator\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"DistanceFunction\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"f\", \"TI\"]}]}], \"]\"}] specifies a distance function to use.", + "NetPort":"RowBox[{\"NetPort\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] represents the specified port for layer number StyleBox[\"n\", \"TI\"] in a NetGraph or similar construct.\nRowBox[{\"NetPort\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] represents the specified port for the layer with the specified name.\nRowBox[{\"NetPort\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"]\"}] is treated as equivalent to RowBox[{\"NetPort\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"}\"}], \"]\"}].\nRowBox[{\"NetPort\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the specified input or output port for a complete net.\nRowBox[{\"NetPort\", \"[\", RowBox[{\"All\", \",\", StyleBox[\"\\\"States\\\"\",ShowStringCharacters->True]}], \"]\"}] represents the set of all states in a net associated with recurrent layers such as LongShortTermMemoryLayer.", + "NetPortGradient":"RowBox[{\"NetPortGradient\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the gradient of the output of a net with respect to the value of the specified input port. \nRowBox[{\"NetPortGradient\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the gradient of the output with respect to a learned parameter named StyleBox[\"param\", \"TI\"].\nRowBox[{\"NetPortGradient\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] represents the gradient with respect to a parameter at a specific position in a net.", + "NetPrepend":"RowBox[{\"NetPrepend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"layer\", \"TI\"]}], \"]\"}] prepends a layer onto a NetChain.\nRowBox[{\"NetPrepend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] prepends several layers to a NetChain.", + "NetRename":"RowBox[{\"NetRename\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"old\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"new\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}]}], \"]\"}] gives a net in which the name StyleBox[\"old\", \"TI\"] for a layer is replaced with StyleBox[\"new\", \"TI\"].\nRowBox[{\"NetRename\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs all renamings specified by the SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetRename\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] use a function StyleBox[\"f\", \"TI\"] to map existing layer names to new names.", + "NetReplace":"RowBox[{\"NetReplace\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"layer\", \"TI\"]}]}], \"]\"}] gives a net in which all layers matching StyleBox[\"patt\", \"TI\"] are replaced with StyleBox[\"layer\", \"TI\"].\nRowBox[{\"NetReplace\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs all replacements specified by the SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "NetReplacePart":"RowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"array\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] replaces an array within a layer, returning a new layer.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"type\", \"TI\"]}]}], \"]\"}] returns a new layer in which an input or output port has the specified type.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"input\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"encoder\", \"TI\"]}]}], \"]\"}] attaches a RowBox[{\"NetEncoder\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] to a specified input port.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"output\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"decoder\", \"TI\"]}]}], \"]\"}] attaches a RowBox[{\"NetDecoder\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] to a specified output port.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"lspec\", \"TI\"], \"\", StyleBox[\"layer\", \"TI\"]}]}], \"]\"}] returns a new NetChain or NetGraph in which the layer identified by StyleBox[\"lspec\", \"TI\"] has been replaced.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"lspec\", \"TI\"], \",\", StyleBox[\"pspec\", \"TI\"]}], \"}\"}], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] makes a replacement of a part StyleBox[\"pspec\", \"TI\"] of a layer StyleBox[\"lspec\", \"TI\"] within a NetGraph or NetChain.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes multiple simultaneous replacements.", + "NetSharedArray":"RowBox[{\"NetSharedArray\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an array in a net that is shared by more than one layer.", + "NetStateObject":"RowBox[{\"NetStateObject\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] creates an object derived from StyleBox[\"net\", \"TI\"] that represents a neural net with additional stored state information that is updated when the net is applied to data.\nRowBox[{\"NetStateObject\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"seed\", \"TI\"]}], \"]\"}] creates an object in which additional stored state information is initialized using StyleBox[\"seed\", \"TI\"].", + "NetTake":"RowBox[{\"NetTake\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"]\"}] takes only those layers up to StyleBox[\"end\", \"TI\"] in a NetChain or NetGraph.\nRowBox[{\"NetTake\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] takes only those layers between StyleBox[\"start\", \"TI\"] and StyleBox[\"end\", \"TI\"] in a NetChain or NetGraph.", + "NetTrain":"RowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] trains the specified neural net by giving the SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"i\", \"TI\"]] as input and minimizing the discrepancy between the SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"i\", \"TI\"]] and the actual output of the net, using an automatically chosen loss function.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also trains the specified neural net based on the examples SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"i\", \"TI\"]] and the outputs SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"i\", \"TI\"]] given.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] trains the specified net by supplying training data at the specified ports, with a loss function defined by the \"Loss\" port in the net.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] trains the net using a list of instances of training data.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] calls the function StyleBox[\"f\", \"TI\"] during training to produce batches of training data.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives data associated with a specific property StyleBox[\"prop\", \"TI\"] of the training session.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", \"All\"}], \"]\"}] gives a RowBox[{\"NetTrainResultsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that summarizes information about the training session.", + "NetTrainResultsObject":"RowBox[{\"NetTrainResultsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an object generated by NetTrain that contains the trained net and other information about the training process.", + "NetworkPacketCapture":"RowBox[{\"NetworkPacketCapture\", \"[\", \"]\"}] creates a temporary interactive interface for capturing information on network packets transmitted or received through all network interfaces on your computer.\nRowBox[{\"NetworkPacketCapture\", \"[\", StyleBox[\"service\", \"TI\"], \"]\"}] captures only packets associated with the specified network service.\nRowBox[{\"NetworkPacketCapture\", \"[\", StyleBox[\"port\", \"TI\"], \"]\"}] captures only packets associated with the specified port.\nRowBox[{\"NetworkPacketCapture\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] captures only packets matching the specification StyleBox[\"spec\", \"TI\"]. ", + "NetworkPacketRecording":"RowBox[{\"NetworkPacketRecording\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] records information on network packets transmitted or received through all network interfaces on your computer for StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"service\", \"TI\"]}], \"]\"}] records only packets associated with the specified network service.\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"]\"}] records only packets associated with the specified port.\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] records only packets associated with any of the ports SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] records only packets matching the specification StyleBox[\"spec\", \"TI\"]. ", + "NetworkPacketRecordingDuring":"RowBox[{\"NetworkPacketRecordingDuring\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] and returns information on network packets transmitted or received through all network interfaces on your computer during the time of the evaluation, together with the result of the evaluation. \nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"service\", \"TI\"]}], \"]\"}] records only packets associated with the specified network service.\nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"]\"}] records only packets associated with the specified port.\nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] records only packets associated with any of the ports SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] records only packets matching the specification StyleBox[\"spec\", \"TI\"]. ", + "NeumannValue":"RowBox[{\"NeumannValue\", \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"pred\", \"TI\"]}], \"]\"}] represents a Neumann boundary value StyleBox[\"val\", \"TI\"], specified on the part of the boundary of the region given to NDSolve and related functions where StyleBox[\"pred\", \"TI\"] is True.", + "NevilleThetaC":"RowBox[{\"NevilleThetaC\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"c\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", + "NevilleThetaD":"RowBox[{\"NevilleThetaD\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"d\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", + "NevilleThetaN":"RowBox[{\"NevilleThetaN\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"n\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", + "NevilleThetaS":"RowBox[{\"NevilleThetaS\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"s\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", + "NExpectation":"RowBox[{\"NExpectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical expectation of StyleBox[\"expr\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"NExpectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical expectation of StyleBox[\"expr\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"NExpectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the numerical expectation of StyleBox[\"expr\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NExpectation\", \"[\", RowBox[{RowBox[{StyleBox[\"expr\", \"TI\"], \"\", StyleBox[\"pred\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the numerical conditional expectation of StyleBox[\"expr\", \"TI\"] given StyleBox[\"pred\", \"TI\"].", + "NextCell":"RowBox[{\"NextCell\", \"[\", \"]\"}] returns the CellObject corresponding to the cell directly below the currently evaluating cell.\nRowBox[{\"NextCell\", \"[\", StyleBox[\"cellobj\", \"TI\"], \"]\"}] starts looking from the given cell.", + "NextDate":"RowBox[{\"NextDate\", \"[\", StyleBox[\"gran\", \"TI\"], \"]\"}] gives the next occurring date of the specified granularity type StyleBox[\"gran\", \"TI\"].\nRowBox[{\"NextDate\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the next date of the given granularity relative to the specified date.", + "NextPrime":"RowBox[{\"NextPrime\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the next prime above StyleBox[\"n\", \"TI\"].\nRowBox[{\"NextPrime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] prime above StyleBox[\"n\", \"TI\"].", + "NextScheduledTaskTime":"RowBox[{\"NextScheduledTaskTime\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gives the next execution time of the scheduled task represented by StyleBox[\"obj\", \"TI\"].", + "NHoldAll":"NHoldAll is an attribute which specifies that none of the arguments to a function should be affected by N. ", + "NHoldFirst":"NHoldFirst is an attribute which specifies that the first argument to a function should not be affected by N. ", + "NHoldRest":"NHoldRest is an attribute which specifies that all but the first argument to a function should not be affected by N. ", + "NicholsGridLines":"NicholsGridLines is an option to NicholsPlot that specifies contours of constant magnitude and constant phase of the closed-loop system.", + "NicholsPlot":"RowBox[{\"NicholsPlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a Nichols plot of the transfer function for the system StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"NicholsPlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"NicholsPlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", + "NightHemisphere":"RowBox[{\"NightHemisphere\", \"[\", \"]\"}] is a two-dimensional GeoGraphics primitive that represents the half of the Earth currently in darkness.\nRowBox[{\"NightHemisphere\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] represents the night half of the Earth for the specified date.", + "NIntegrate":"RowBox[{\"NIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a numerical approximation to the integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], \" \", RowBox[{\"f\", \" \", \"d\", \"\", \"x\"}]}]. \nRowBox[{\"NIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a numerical approximation to the multiple integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"d\", \"x\", RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"y\", StyleBox[\"min\", FontSlant -> \"Italic\"]], SubscriptBox[\"y\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"d\", \"\", \"y\", \" \", \"…\", \" \", \"f\"}]}]}]}].\nRowBox[{\"NIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] integrates over the geometric region StyleBox[\"reg\", \"TI\"].", + "NMaximize":"RowBox[{\"NMaximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMaximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NMaximize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] numerically subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NMaximize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", + "NMaxValue":"RowBox[{\"NMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"NMaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NMaxValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", + "NMinimize":"RowBox[{\"NMinimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMinimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NMinimize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] numerically subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NMinimize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", + "NMinValue":"RowBox[{\"NMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"NMinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"NMinValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", + "NominalVariables":"NominalVariables is an option for statistical functions such as LinearModelFit that specifies which variables should be treated as having discrete values specified by names.", + "NonAssociative":"NonAssociative is a symbol that represents a non-associative operator in formatting functions.", + "NoncentralBetaDistribution":"RowBox[{\"NoncentralBetaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] represents a noncentral beta distribution with shape parameters StyleBox[\"α\", \"TR\"], StyleBox[\"β\", \"TR\"] and noncentrality parameter StyleBox[\"δ\", \"TR\"].", + "NoncentralChiSquareDistribution":"RowBox[{\"NoncentralChiSquareDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a noncentral SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and noncentrality parameter StyleBox[\"λ\", \"TR\"].", + "NoncentralFRatioDistribution":"RowBox[{\"NoncentralFRatioDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a noncentral F-ratio distribution with StyleBox[\"n\", \"TI\"] numerator degrees of freedom, StyleBox[\"m\", \"TI\"] denominator degrees of freedom, and numerator noncentrality parameter StyleBox[\"λ\", \"TR\"].\nRowBox[{\"NoncentralFRatioDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\" \", \"TR\"], StyleBox[\"η\", \"TR\"]}], \"]\"}] represents a doubly noncentral F-ratio distribution with numerator noncentrality parameter StyleBox[\"λ\", \"TR\"] and denominator noncentrality parameter StyleBox[\"η\", \"TR\"].", + "NoncentralStudentTDistribution":"RowBox[{\"NoncentralStudentTDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] represents a noncentral Student t distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and noncentrality parameter StyleBox[\"δ\", \"TR\"].", + "NonCommutativeMultiply":"RowBox[{StyleBox[\"a\", \"TI\"], \"**\", StyleBox[\"b\", \"TI\"], \"**\", StyleBox[\"c\", \"TI\"]}] is a general associative, but non‐commutative, form of multiplication. ", + "NonConstants":"NonConstants is an option for D which gives a list of objects to be taken to depend implicitly on the differentiation variables. ", + "NondimensionalizationTransform":"RowBox[{\"NondimensionalizationTransform\", \"[\", RowBox[{StyleBox[\"eq\", \"TI\"], \",\", StyleBox[\"ovars\", \"TI\"], \",\", StyleBox[\"fvars\", \"TI\"]}], \"]\"}] nondimensionalizes StyleBox[\"eq\", \"TI\"], replacing original variables StyleBox[\"ovars\", \"TI\"] with the variables StyleBox[\"fvars\", \"TI\"].\nRowBox[{\"NondimensionalizationTransform\", \"[\", RowBox[{StyleBox[\"eq\", \"TI\"], \",\", StyleBox[\"ovars\", \"TI\"], \",\", StyleBox[\"fvars\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns a property associated with the nondimensionalization of StyleBox[\"eq\", \"TI\"].", + "None":"None is a setting used for certain options. ", + "NoneTrue":"RowBox[{\"NoneTrue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] yields True if RowBox[{StyleBox[\"test\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is False for all of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NoneTrue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] tests parts of StyleBox[\"expr\", \"TI\"] at level StyleBox[\"level\", \"TI\"].\nRowBox[{\"NoneTrue\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents an operator form of NoneTrue that can be applied to an expression.", + "NonlinearModelFit":"RowBox[{\"NonlinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a nonlinear model with structure StyleBox[\"form\", \"TI\"] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, … using the parameters StyleBox[SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \"TI\"], ….\nRowBox[{\"NonlinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a nonlinear model where StyleBox[\"form\", \"TI\"] depends on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]]. \nRowBox[{\"NonlinearModelFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a nonlinear model subject to the parameter constraints StyleBox[\"cons\", \"TI\"].", + "NonlinearStateSpaceModel":"RowBox[{\"NonlinearStateSpaceModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"]}], \"]\"}] represents the model RowBox[{RowBox[{RowBox[{\"x\", \"'\"}], RowBox[{\"(\", \"t\", \")\"}]}], \"\", RowBox[{\"f\", \"(\", RowBox[{RowBox[{\"x\", \"(\", \"t\", \")\"}], \",\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}], \")\"}]}], RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"\", RowBox[{\"g\", \"(\", RowBox[{RowBox[{\"x\", \"(\", \"t\", \")\"}], \",\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}], \")\"}]}].\nRowBox[{\"NonlinearStateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives a state-space representation corresponding to the systems model StyleBox[\"sys\", \"TI\"]. \nRowBox[{\"NonlinearStateSpaceModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the state-space model of the differential equations StyleBox[\"eqns\", \"TI\"] with dependent variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], input variables SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], operating vaues SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]] and SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]], outputs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]], and independent variable StyleBox[\"t\", \"TI\"].", + "NonlocalMeansFilter":"RowBox[{\"NonlocalMeansFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies a nonlocal means filter to StyleBox[\"image\", \"TI\"] by comparing a range StyleBox[\"r\", \"TI\"] neighborhood to its nearby neighborhoods.\nRowBox[{\"NonlocalMeansFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ns\", \"TI\"]}], \"]\"}] assumes an additive noise power value StyleBox[\"ns\", \"TI\"] for comparing neighborhoods.\nRowBox[{\"NonlocalMeansFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ns\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] compares neighborhoods in a range StyleBox[\"w\", \"TI\"] window.", + "NonNegative":"RowBox[{\"NonNegative\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a non‐negative number. ", + "NonPositive":"RowBox[{\"NonPositive\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a non‐positive number. ", + "Nor":"RowBox[{\"Nor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical NOR function. It evaluates its arguments in order, giving False immediately if any of them are True, and True if they are all False. ", + "NorlundB":"RowBox[{\"NorlundB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives Nørlund polynomials SubsuperscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"a\", \"TI\"], \")\"}]] of degree StyleBox[\"n\", \"TI\"] in StyleBox[\"a\", \"TI\"].\nRowBox[{\"NorlundB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives generalized Bernoulli polynomials RowBox[{SubsuperscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"a\", \"TI\"], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", + "Norm":"RowBox[{\"Norm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the norm of a number, vector, or matrix. \nRowBox[{\"Norm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the StyleBox[\"p\", \"TI\"]‐norm. ", + "Normal":"RowBox[{\"Normal\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts StyleBox[\"expr\", \"TI\"] to a normal expression from a variety of special forms. \nRowBox[{\"Normal\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] converts objects with head StyleBox[\"h\", \"TI\"] in StyleBox[\"expr\", \"TI\"] to normal expressions.\nRowBox[{\"Normal\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] converts objects with head SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"i\", \"TI\"]] to normal expressions.", + "NormalDistribution":"RowBox[{\"NormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a normal (Gaussian) distribution with mean StyleBox[\"μ\", \"TR\"] and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"NormalDistribution\", \"[\", \"]\"}] represents a normal distribution with zero mean and unit standard deviation.", + "Normalize":"RowBox[{\"Normalize\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives the normalized form of a vector StyleBox[\"v\", \"TI\"]. \nRowBox[{\"Normalize\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the normalized form of a complex number StyleBox[\"z\", \"TI\"].\nRowBox[{\"Normalize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] normalizes with respect to the norm function StyleBox[\"f\", \"TI\"].", + "Normalized":"Normalized is an option that determines whether to test if matrix rows are normalized.", + "NormalizedSquaredEuclideanDistance":"RowBox[{\"NormalizedSquaredEuclideanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the normalized squared Euclidean distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "NormalMatrixQ":"RowBox[{\"NormalMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is an explicitly normal matrix, and False otherwise.", + "NormalsFunction":"NormalsFunction is an option for Plot3D and related functions that specifies a function to apply to determine the effective surface normals at every point.", + "NormFunction":"NormFunction is an option for functions such as FindFit and NDSolve which gives a function to be minimized in generating results.", + "Not":"RowBox[{\"!\", StyleBox[\"expr\", \"TI\"]}] is the logical NOT function. It gives False if StyleBox[\"expr\", \"TI\"] is True, and True if it is False. ", + "NotCongruent":"RowBox[{\"NotCongruent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≢\", StyleBox[\"y\", \"TI\"], \"≢\", \"…\"}].", + "NotCupCap":"RowBox[{\"NotCupCap\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≭\", StyleBox[\"y\", \"TI\"], \"≭\", \"…\"}].", + "NotDoubleVerticalBar":"RowBox[{\"NotDoubleVerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∦\", StyleBox[\"y\", \"TI\"], \"∦\", \"…\"}].", + "Notebook":"RowBox[{\"Notebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is the low‐level construct that represents a notebook manipulated by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", + "NotebookApply":"RowBox[{\"NotebookApply\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] writes data into a notebook at the current selection, replacing the first selection placeholder in StyleBox[\"data\", \"TI\"] by the current selection, and then setting the current selection to be just after the data written. \nRowBox[{\"NotebookApply\", \"[\", RowBox[{StyleBox[\"cell\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] writes data into a notebook in place of the specified cell.\nRowBox[{\"NotebookApply\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] writes data into a notebook and then sets the current selection to be as specified by StyleBox[\"sel\", \"TI\"]. ", + "NotebookAutoSave":"NotebookAutoSave is a notebook option that specifies whether the notebook should automatically be saved after each piece of output generated by evaluation in it. ", + "NotebookClose":"RowBox[{\"NotebookClose\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] closes the notebook corresponding to the specified notebook object. \nRowBox[{\"NotebookClose\", \"[\", \"]\"}] closes the current evaluation notebook.", + "NotebookConvertSettings":"NotebookConvertSettings is a global option that specifies settings for converting imported legacy notebooks.", + "NotebookCreate":"RowBox[{\"NotebookCreate\", \"[\", \"]\"}] creates a new open notebook in the front end. \nRowBox[{\"NotebookCreate\", \"[\", StyleBox[\"options\", \"TI\"], \"]\"}] sets up the specified options for the new notebook. ", + "NotebookDelete":"RowBox[{\"NotebookDelete\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] deletes the current selection in the notebook corresponding to the specified notebook object. \nRowBox[{\"NotebookDelete\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the given cell or box object.\nRowBox[{\"NotebookDelete\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes all specified objects.\nRowBox[{\"NotebookDelete\", \"[\", \"]\"}] deletes the current selection in the current evaluation notebook.", + "NotebookDirectory":"RowBox[{\"NotebookDirectory\", \"[\", \"]\"}] gives the directory of the current evaluation notebook. \nRowBox[{\"NotebookDirectory\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] gives the directory for the notebook specified by StyleBox[\"nb\", \"TI\"]. ", + "NotebookDynamicExpression":"NotebookDynamicExpression is an option for notebooks that specifies an expression to be dynamically updated whenever that notebook is open.", + "NotebookEvaluate":"RowBox[{\"NotebookEvaluate\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] evaluates all the evaluatable cells in StyleBox[\"notebook\", \"TI\"].", + "NotebookEventActions":"NotebookEventActions is a notebook option that gives a list of actions to perform when specified events occur in connection with the notebook. ", + "NotebookFileName":"RowBox[{\"NotebookFileName\", \"[\", \"]\"}] gives the file name of the current evaluation notebook. \nRowBox[{\"NotebookFileName\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] gives the file name for the notebook specified by StyleBox[\"nb\", \"TI\"]. ", + "NotebookFind":"RowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] sets the current selection in the specified notebook object to be the next occurrence of StyleBox[\"data\", \"TI\"]. \nRowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", \"Previous\"}], \"]\"}] sets the current selection to be the previous occurrence. \nRowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", \"All\"}], \"]\"}] sets the current selection to be all occurrences. \nRowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] sets the current selection to be the occurrence in the direction StyleBox[\"dir\", \"TI\"] and searches the elements of cells specified by StyleBox[\"elems\", \"TI\"]. ", + "NotebookGet":"RowBox[{\"NotebookGet\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gets the raw expression corresponding to the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"]. \nRowBox[{\"NotebookGet\", \"[\", \"]\"}] gets the raw expression corresponding to the currently selected notebook. ", + "NotebookImport":"RowBox[{\"NotebookImport\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"style\", \"TI\"]}], \"]\"}] imports cells with the given cell style from the specified notebook.\nRowBox[{\"NotebookImport\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", RowBox[{StyleBox[\"style\", \"TI\"], \"\", StyleBox[\"form\", \"TI\"]}]}], \"]\"}] imports cells in the form specified by StyleBox[\"form\", \"TI\"].", + "NotebookInformation":"RowBox[{\"NotebookInformation\", \"[\", \"]\"}] gives a list of properties of the current evaluation notebook.\nRowBox[{\"NotebookInformation\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] gives a list of properties for the specified notebook.", + "NotebookLocate":"RowBox[{\"NotebookLocate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] locates all cells with the specified tag in your current input notebook, selecting the cells and scrolling to the position of the first one. \nRowBox[{\"NotebookLocate\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] if necessary opens the notebook stored in StyleBox[\"file\", \"TI\"], then locates cells with the specified tag. ", + "NotebookObject":"RowBox[{\"NotebookObject\", \"[\", RowBox[{StyleBox[\"fe\", \"TI\"], \",\", StyleBox[\"id\", \"TI\"]}], \"]\"}] is an object that represents an open notebook in the front end. ", + "NotebookOpen":"RowBox[{\"NotebookOpen\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens an existing notebook with the specified name, returning the corresponding notebook object. \nRowBox[{\"NotebookOpen\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] opens a notebook using the options given. \nNotebookOpen[\"http:\/\/\nStyleBox[\"url\", \"TI\"]\",…] opens a notebook from any accessible URL. ", + "NotebookPath":"NotebookPath is a global option that determines which directories are searched when a specified notebook is needed.", + "NotebookPrint":"RowBox[{\"NotebookPrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] sends a notebook containing StyleBox[\"expr\", \"TI\"] to your default printer.\nRowBox[{\"NotebookPrint\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] sends the specified notebook to your default printer. \nRowBox[{\"NotebookPrint\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).\\!\\(\\*StyleBox[\\\"ext\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True]}], \"]\"}] saves a print‐ready form of the notebook to a file in the format indicated by the file extension StyleBox[\"ext\", \"TI\"]. \nRowBox[{\"NotebookPrint\", \"[\", \"]\"}] sends the current evaluation notebook to your default printer.", + "NotebookPut":"RowBox[{\"NotebookPut\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a notebook corresponding to StyleBox[\"expr\", \"TI\"] and makes it the currently selected notebook in the front end. \nRowBox[{\"NotebookPut\", \"[\", \"]\"}] creates a new empty notebook.\nRowBox[{\"NotebookPut\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with one corresponding to StyleBox[\"expr\", \"TI\"]. ", + "NotebookRead":"RowBox[{\"NotebookRead\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] gives the expression corresponding to the current selection in the specified notebook object. \nRowBox[{\"NotebookRead\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gives the expression corresponding to the given cell or box object.\nRowBox[{\"NotebookRead\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of expressions corresponding to the SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Notebooks":"RowBox[{\"Notebooks\", \"[\", \"]\"}] gives a list of notebooks currently open in the front end.", + "NotebookSave":"RowBox[{\"NotebookSave\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] saves the current version of the specified notebook. \nRowBox[{\"NotebookSave\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] saves the notebook in the specified file. \nRowBox[{\"NotebookSave\", \"[\", \"]\"}] saves the current version of the current evaluation notebook in a file.", + "NotebookSelection":"RowBox[{\"NotebookSelection\", \"[\", \"]\"}] represents the current selection in the current evaluation notebook in the front end.\nRowBox[{\"NotebookSelection\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] represents the current selection associated with the open notebook StyleBox[\"nb\", \"TI\"]. ", + "NotebooksMenu":"NotebooksMenu is a global option that specifies which recently opened notebooks are listed under the StyleBox[\"File\", \"MenuName\"] menu.", + "NotebookTemplate":"RowBox[{\"NotebookTemplate\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] yields a TemplateObject that represents a notebook template to be applied using functions like GenerateDocument and FileTemplateApply.", + "NotebookWrite":"RowBox[{\"NotebookWrite\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] writes data into a notebook at the current selection, setting the current selection to be just after the data written. \nRowBox[{\"NotebookWrite\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] replaces the given cell or box object instead of the current selection.\nRowBox[{\"NotebookWrite\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] writes data into a notebook, setting the current selection to be as specified by StyleBox[\"sel\", \"TI\"]. ", + "NotElement":"RowBox[{\"NotElement\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], \"∉\", StyleBox[\"dom\", \"TI\"]}] asserts that StyleBox[\"x\", \"TI\"] is not an element of the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"NotElement\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"], \"|\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that none of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are elements of StyleBox[\"dom\", \"TI\"].\nRowBox[{\"NotElement\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that any expression matching the pattern StyleBox[\"patt\", \"TI\"] is not an element of the domain StyleBox[\"dom\", \"TI\"].", + "NotEqualTilde":"RowBox[{\"NotEqualTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotExists":"RowBox[{\"NotExists\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{SubscriptBox[\"∄\", StyleBox[\"x\", \"TI\"]], StyleBox[\"y\", \"TI\"]}].", + "NotGreater":"RowBox[{\"NotGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≯\", StyleBox[\"y\", \"TI\"], \"≯\", \"…\"}].", + "NotGreaterEqual":"RowBox[{\"NotGreaterEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≱\", StyleBox[\"y\", \"TI\"], \"≱\", \"…\"}].", + "NotGreaterFullEqual":"RowBox[{\"NotGreaterFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≩\", StyleBox[\"y\", \"TI\"], \"≩\", \"…\"}].", + "NotGreaterGreater":"RowBox[{\"NotGreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotGreaterLess":"RowBox[{\"NotGreaterLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≹\", StyleBox[\"y\", \"TI\"], \"≹\", \"…\"}].", + "NotGreaterSlantEqual":"RowBox[{\"NotGreaterSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotGreaterTilde":"RowBox[{\"NotGreaterTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≵\", StyleBox[\"y\", \"TI\"], \"≵\", \"…\"}].", + "Nothing":"Nothing represents an element of a list that will automatically be removed. \nRowBox[{\"Nothing\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] gives Nothing.", + "NotHumpDownHump":"RowBox[{\"NotHumpDownHump\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotHumpEqual":"RowBox[{\"NotHumpEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotificationFunction":"NotificationFunction is an option that specifies how notifications should be sent from background tasks.", + "NotLeftTriangle":"RowBox[{\"NotLeftTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋪\", StyleBox[\"y\", \"TI\"], \"⋪\", \"…\"}].", + "NotLeftTriangleBar":"RowBox[{\"NotLeftTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotLeftTriangleEqual":"RowBox[{\"NotLeftTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋬\", StyleBox[\"y\", \"TI\"], \"⋬\", \"…\"}].", + "NotLess":"RowBox[{\"NotLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≮\", StyleBox[\"y\", \"TI\"], \"≮\", \"…\"}].", + "NotLessEqual":"RowBox[{\"NotLessEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≰\", StyleBox[\"y\", \"TI\"], \"≰\", \"…\"}].", + "NotLessFullEqual":"RowBox[{\"NotLessFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≨\", StyleBox[\"y\", \"TI\"], \"≨\", \"…\"}].", + "NotLessGreater":"RowBox[{\"NotLessGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≸\", StyleBox[\"y\", \"TI\"], \"≸\", \"…\"}].", + "NotLessLess":"RowBox[{\"NotLessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotLessSlantEqual":"RowBox[{\"NotLessSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotLessTilde":"RowBox[{\"NotLessTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≴\", StyleBox[\"y\", \"TI\"], \"≴\", \"…\"}].", + "NotNestedGreaterGreater":"RowBox[{\"NotNestedGreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotNestedLessLess":"RowBox[{\"NotNestedLessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotPrecedes":"RowBox[{\"NotPrecedes\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊀\", StyleBox[\"y\", \"TI\"], \"⊀\", \"…\"}].", + "NotPrecedesEqual":"RowBox[{\"NotPrecedesEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotPrecedesSlantEqual":"RowBox[{\"NotPrecedesSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋠\", StyleBox[\"y\", \"TI\"], \"⋠\", \"…\"}].", + "NotPrecedesTilde":"RowBox[{\"NotPrecedesTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋨\", StyleBox[\"y\", \"TI\"], \"⋨\", \"…\"}].", + "NotReverseElement":"RowBox[{\"NotReverseElement\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∌\", StyleBox[\"y\", \"TI\"], \"∌\", \"…\"}].", + "NotRightTriangle":"RowBox[{\"NotRightTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋫\", StyleBox[\"y\", \"TI\"], \"⋫\", \"…\"}].", + "NotRightTriangleBar":"RowBox[{\"NotRightTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotRightTriangleEqual":"RowBox[{\"NotRightTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋭\", StyleBox[\"y\", \"TI\"], \"⋭\", \"…\"}].", + "NotSquareSubset":"RowBox[{\"NotSquareSubset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotSquareSubsetEqual":"RowBox[{\"NotSquareSubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋢\", StyleBox[\"y\", \"TI\"], \"⋢\", \"…\"}].", + "NotSquareSuperset":"RowBox[{\"NotSquareSuperset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotSquareSupersetEqual":"RowBox[{\"NotSquareSupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋣\", StyleBox[\"y\", \"TI\"], \"⋣\", \"…\"}].", + "NotSubset":"RowBox[{\"NotSubset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊄\", StyleBox[\"y\", \"TI\"], \"⊄\", \"…\"}].", + "NotSubsetEqual":"RowBox[{\"NotSubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊈\", StyleBox[\"y\", \"TI\"], \"⊈\", \"…\"}].", + "NotSucceeds":"RowBox[{\"NotSucceeds\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊁\", StyleBox[\"y\", \"TI\"], \"⊁\", \"…\"}].", + "NotSucceedsEqual":"RowBox[{\"NotSucceedsEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "NotSucceedsSlantEqual":"RowBox[{\"NotSucceedsSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋡\", StyleBox[\"y\", \"TI\"], \"⋡\", \"…\"}].", + "NotSucceedsTilde":"RowBox[{\"NotSucceedsTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋩\", StyleBox[\"y\", \"TI\"], \"⋩\", \"…\"}].", + "NotSuperset":"RowBox[{\"NotSuperset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊅\", StyleBox[\"y\", \"TI\"], \"⊅\", \"…\"}].", + "NotSupersetEqual":"RowBox[{\"NotSupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊉\", StyleBox[\"y\", \"TI\"], \"⊉\", \"…\"}].", + "NotTilde":"RowBox[{\"NotTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≁\", StyleBox[\"y\", \"TI\"], \"≁\", \"…\"}].", + "NotTildeEqual":"RowBox[{\"NotTildeEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≄\", StyleBox[\"y\", \"TI\"], \"≄\", \"…\"}].", + "NotTildeFullEqual":"RowBox[{\"NotTildeFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≇\", StyleBox[\"y\", \"TI\"], \"≇\", \"…\"}].", + "NotTildeTilde":"RowBox[{\"NotTildeTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≉\", StyleBox[\"y\", \"TI\"], \"≉\", \"…\"}].", + "NotVerticalBar":"RowBox[{\"NotVerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "Now":"Now gives a DateObject representing the current moment in time.", + "NoWhitespace":"NoWhitespace represents the absence of whitespace between elements in a grammar rules pattern.", + "NProbability":"RowBox[{\"NProbability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical probability for an event that satisfies the predicate StyleBox[\"pred\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"NProbability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"NProbability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the numerical probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NProbability\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the numerical conditional probability of SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]] given SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "NProduct":"RowBox[{\"NProduct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a numerical approximation to the product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], \"min\"]}], SubscriptBox[StyleBox[\"i\", \"TI\"], \"max\"]], StyleBox[\"f\", \"TI\"]}].\nRowBox[{\"NProduct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses a step StyleBox[\"di\", \"TI\"] in the product. ", + "NProductFactors":"NProductFactors is an option for NProduct. RowBox[{\"NProductFactors\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] explicitly includes StyleBox[\"n\", \"TI\"] factors in the product before extrapolation.", + "NRoots":"RowBox[{\"NRoots\", \"[\", RowBox[{RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] yields a disjunction of equations which represent numerical approximations to the roots of a polynomial equation. ", + "NSolve":"RowBox[{\"NSolve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] attempts to find numerical approximations to the solutions of the system StyleBox[\"expr\", \"TI\"] of equations or inequalities for the variables StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"NSolve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", \"Reals\"}], \"]\"}] finds solutions over the domain of real numbers.", + "NSum":"RowBox[{\"NSum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a numerical approximation to the sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], \"min\"]}], SubscriptBox[StyleBox[\"i\", \"TI\"], \"max\"]], StyleBox[\"f\", \"TI\"]}].\nRowBox[{\"NSum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses a step StyleBox[\"di\", \"TI\"] in the sum. ", + "NSumTerms":"NSumTerms is an option for NSum. RowBox[{\"NSumTerms\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] explicitly includes StyleBox[\"n\", \"TI\"] terms in the sum before extrapolation.", + "NuclearExplosionData":"RowBox[{\"NuclearExplosionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the nuclear explosion StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NuclearExplosionData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified nuclear explosion entities.\nRowBox[{\"NuclearExplosionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "NuclearReactorData":"RowBox[{\"NuclearReactorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the nuclear reactor StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NuclearReactorData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified nuclear reactor entities.\nRowBox[{\"NuclearReactorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Null":"Null is a symbol used to indicate the absence of an expression or a result. It is not displayed in ordinary output. When Null appears as a complete output expression, no output is printed. ", + "NullRecords":"NullRecords is an option for Read and related functions which specifies whether null records should be taken to exist between repeated record separators. ", + "NullSpace":"RowBox[{\"NullSpace\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of vectors that forms a basis for the null space of the matrix StyleBox[\"m\", \"TI\"]. ", + "NullWords":"NullWords is an option for Read and related functions which specifies whether null words should be taken to exist between repeated word separators. ", + "Number":"Number represents an exact integer or an approximate real number in Read. ", + "NumberCompose":"RowBox[{\"NumberCompose\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the quantity RowBox[{RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}].", + "NumberDecompose":"RowBox[{\"NumberDecompose\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns a list of coefficients RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}] of a decomposition of the number StyleBox[\"x\", \"TI\"] in the basis RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", + "NumberExpand":"RowBox[{\"NumberExpand\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a list of the decimal digits of StyleBox[\"x\", \"TI\"] multiplied by their corresponding powers of 10. \nRowBox[{\"NumberExpand\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] expands StyleBox[\"x\", \"TI\"] in base StyleBox[\"b\", \"TI\"].\nRowBox[{\"NumberExpand\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] gives a list of length StyleBox[\"len\", \"TI\"].", + "NumberFieldClassNumber":"RowBox[{\"NumberFieldClassNumber\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives the class number for the algebraic number field RowBox[{\"\", \"[\", \"θ\", \"]\"}] generated by StyleBox[\"θ\", \"TR\"].", + "NumberFieldDiscriminant":"RowBox[{\"NumberFieldDiscriminant\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the discriminant of the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", + "NumberFieldFundamentalUnits":"RowBox[{\"NumberFieldFundamentalUnits\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives a list of fundamental units for the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", + "NumberFieldIntegralBasis":"RowBox[{\"NumberFieldIntegralBasis\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives an integral basis for the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", + "NumberFieldNormRepresentatives":"RowBox[{\"NumberFieldNormRepresentatives\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives a list of representatives of classes of algebraic integers of norm RowBox[{\"±\", StyleBox[\"m\", \"TI\"]}] in the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", + "NumberFieldRegulator":"RowBox[{\"NumberFieldRegulator\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the regulator of the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", + "NumberFieldRootsOfUnity":"RowBox[{\"NumberFieldRootsOfUnity\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the roots of unity for the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", + "NumberFieldSignature":"RowBox[{\"NumberFieldSignature\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the signature of the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", + "NumberForm":"RowBox[{\"NumberForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with approximate real numbers in StyleBox[\"expr\", \"TI\"] given to StyleBox[\"n\", \"TI\"]‐digit precision. \nRowBox[{\"NumberForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}]}], \"]\"}] prints with approximate real numbers having StyleBox[\"n\", \"TI\"] digits, with StyleBox[\"f\", \"TI\"] digits to the right of the decimal point.\nRowBox[{\"NumberForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints using the default options of NumberForm.", + "NumberFormat":"NumberFormat is an option for NumberForm and related functions that specifies how the mantissa, base, and exponent should be assembled into a final print form. ", + "NumberLinePlot":"RowBox[{\"NumberLinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] on a number line.\nRowBox[{\"NumberLinePlot\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] plots a number line illustrating the region StyleBox[\"pred\", \"TI\"].\nRowBox[{\"NumberLinePlot\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots the number to extend over the interval from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"NumberLinePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots several number lines.", + "NumberMarks":"NumberMarks is an option for InputForm and related functions that specifies whether ` marks should be included in the printed forms of approximate numbers. ", + "NumberMultiplier":"NumberMultiplier is an option for NumberForm and related functions which gives the string to use as a multiplication sign in scientific notation. ", + "NumberPadding":"NumberPadding is an option for NumberForm and related functions which gives strings to use as padding on the left‐ and right‐hand sides of numbers. ", + "NumberPoint":"NumberPoint is an option for NumberForm and related functions that gives the string to use as a decimal point. ", + "NumberQ":"RowBox[{\"NumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a number, and False otherwise. ", + "NumberSeparator":"NumberSeparator is an option for NumberForm and related functions that gives the string to insert at breaks between digits. ", + "NumberSigns":"NumberSigns is an option for NumberForm and related functions which gives strings to use as signs for negative and positive numbers. ", + "NumberString":"NumberString represents the characters of a number in StringExpression.", + "Numerator":"RowBox[{\"Numerator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the numerator of StyleBox[\"expr\", \"TI\"]. ", + "NumericalOrder":"RowBox[{\"NumericalOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives 1 if RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"<\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], RowBox[{\"-\", \"1\"}] if RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \">\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], 0 if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]] are identical or numerically the same and RowBox[{\"Order\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]] are not numerically comparable.", + "NumericalSort":"RowBox[{\"NumericalSort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into numerical order.", + "NumericFunction":"NumericFunction is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that RowBox[{\"f\", \"[\", RowBox[{SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] should be considered a numeric quantity whenever all the SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"i\", \"TI\"]] are numeric quantities. ", + "NumericQ":"RowBox[{\"NumericQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a numeric quantity, and False otherwise. ", + "NuttallWindow":"RowBox[{\"NuttallWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Nuttall window function of StyleBox[\"x\", \"TI\"].", + "NValues":"RowBox[{\"NValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all numerical values (values for RowBox[{\"N\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", + "NyquistGridLines":"NyquistGridLines is an option to NyquistPlot that specifies contours of constant magnitude and phase of a closed-loop system.", + "NyquistPlot":"RowBox[{\"NyquistPlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a Nyquist plot of the transfer function for the system StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"NyquistPlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"NyquistPlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", + "O":"RowBox[{RowBox[{\"O\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"^\", StyleBox[\"n\", \"TI\"]}] represents a term of order SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{RowBox[{\"O\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"^\", StyleBox[\"n\", \"TI\"]}] is generated to represent omitted higher‐order terms in power series. \nRowBox[{RowBox[{\"O\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}], \"^\", StyleBox[\"n\", \"TI\"]}] represents a term of order SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"-\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \")\"}], StyleBox[\"n\", \"TI\"]]. ", + "ObservabilityGramian":"RowBox[{\"ObservabilityGramian\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the observability Gramian of the state-space model StyleBox[\"ssm\", \"TI\"].", + "ObservabilityMatrix":"RowBox[{\"ObservabilityMatrix\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the observability matrix of the state-space model StyleBox[\"ssm\", \"TI\"].", + "ObservableDecomposition":"RowBox[{\"ObservableDecomposition\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] yields the observable subsystem of the system StyleBox[\"sys\", \"TI\"].\nRowBox[{\"ObservableDecomposition\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the new coordinates SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ObservableModelQ":"RowBox[{\"ObservableModelQ\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives True if the system StyleBox[\"sys\", \"TI\"] is observable, and False otherwise.\nRowBox[{\"ObservableModelQ\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"sub\", \"TI\"]}], \"}\"}], \"]\"}] gives True if the subsystem StyleBox[\"sub\", \"TI\"] is observable.", + "OceanData":"RowBox[{\"OceanData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the ocean StyleBox[\"entity\", \"TI\"].\nRowBox[{\"OceanData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified ocean entities.\nRowBox[{\"OceanData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "OddQ":"RowBox[{\"OddQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is an odd integer, and False otherwise. ", + "Off":"RowBox[{\"Off\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] switches off a message, so that it is no longer printed. \nRowBox[{\"Off\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] switches off a named group of messages.\nRowBox[{\"Off\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] switches off tracing messages associated with the symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Off\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] switches off several messages or message groups. ", + "Offset":"RowBox[{\"Offset\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"position\", \"TI\"]}], \"]\"}] gives the position of a graphical object obtained by starting at the specified position and then moving by absolute offset RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]. ", + "On":"RowBox[{\"On\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] switches on a message, so that it can be printed. \nRowBox[{\"On\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] switches on a named group of messages.\nRowBox[{\"On\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] switches on tracing for the symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"On\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] switches on several messages or message groups. ", + "ONanGroupON":"RowBox[{\"ONanGroupON\", \"[\", \"]\"}] represents the sporadic simple O'Nan group RowBox[{RowBox[{StyleBox[\"O\", FontSlant -> \"Plain\"], \"'\"}], StyleBox[\"N\", FontSlant -> \"Plain\"]}].", + "Once":"RowBox[{\"Once\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] once in each Wolfram Language session, always returning the result from the first evaluation.\nRowBox[{\"Once\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] once and caches the result in persistence location StyleBox[\"loc\", \"TI\"].", + "OneIdentity":"OneIdentity is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}], etc. are all equivalent to StyleBox[\"x\", \"TI\"] for the purpose of pattern matching. ", + "Opacity":"RowBox[{\"Opacity\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] is a graphics directive that specifies that graphical objects that follow are to be displayed, if possible, with opacity StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Opacity\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"color\", \"TI\"]}], \"]\"}] uses the specified color with opacity StyleBox[\"a\", \"TI\"].", + "OpacityFunction":"OpacityFunction is an option for graphics functions that specifies a function to apply to determine opacity of elements.", + "OpacityFunctionScaling":"OpacityFunctionScaling is an option to visualization functions such as DensityPlot3D that specifies whether arguments supplied to OpacityFunction should be scaled to lie between 0 and 1.", + "OpenAppend":"RowBox[{\"OpenAppend\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a file to append output to it, and returns an OutputStream object. ", + "Opener":"RowBox[{\"Opener\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents an opener with setting StyleBox[\"x\", \"TI\"], displayed as OpenerBox[True] when StyleBox[\"x\", \"TI\"] is True and OpenerBox[False] when StyleBox[\"x\", \"TI\"] is False. \nRowBox[{\"Opener\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being toggled if the opener is clicked. ", + "OpenerBoxOptions":"RowBox[{OpenerBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for OpenerBox objects.", + "OpenerView":"RowBox[{\"OpenerView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents an object which displays as an opener, together with SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] if the opener is closed, and both SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] if it is open.\nRowBox[{\"OpenerView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"state\", \"TI\"]}], \"]\"}] specifies the state of the opener, with False being closed, and True being open.", + "Opening":"RowBox[{\"Opening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological opening of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Opening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the opening with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Opening\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies opening to an array of data.", + "OpenRead":"RowBox[{\"OpenRead\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a file to read data from, and returns an InputStream object.", + "OpenTemporary":"RowBox[{\"OpenTemporary\", \"[\", \"]\"}] opens a temporary file to which output can be written, and returns an OutputStream object. ", + "OpenWrite":"RowBox[{\"OpenWrite\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a file to write output to it, and returns an OutputStream object. \nRowBox[{\"OpenWrite\", \"[\", \"]\"}] opens a new file in the default area for temporary files on your computer system.", + "Operate":"RowBox[{\"Operate\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}]}], \"]\"}] gives RowBox[{RowBox[{StyleBox[\"p\", \"TI\"], \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}]. \nRowBox[{\"Operate\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"p\", \"TI\"] at level StyleBox[\"n\", \"TI\"] in the head of StyleBox[\"expr\", \"TI\"]. ", + "OperatingSystem":"OperatingSystem is an option for file and related operations that specifies the type of operating system to use to determine file name and other conventions.", + "OptimumFlowData":"RowBox[{\"OptimumFlowData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents flow data such as generated by FindMaximumFlow, FindMinimumCostFlow, etc.", + "Optional":"RowBox[{StyleBox[\"p\", \"TI\"], \":\", StyleBox[\"v\", \"TI\"]}] is a pattern object that represents an expression of the form StyleBox[\"p\", \"TI\"], which, if omitted, should be replaced by StyleBox[\"v\", \"TI\"]. ", + "OptionalElement":"RowBox[{\"OptionalElement\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] is a grammar rules pattern object that represents 0 or 1 instances of StyleBox[\"patt\", \"TI\"].\nRowBox[{\"OptionalElement\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] uses StyleBox[\"default\", \"TI\"] if the element is not present. ", + "OptionInspectorSettings":"OptionInspectorSettings is a global option that specifies the display of options in the StyleBox[\"Option Inspector\", \"DialogElementName\"].", + "OptionQ":"RowBox[{\"OptionQ\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] returns True if StyleBox[\"e\", \"TI\"] can be considered an option or list of options, and False otherwise.", + "Options":"RowBox[{\"Options\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the list of default options assigned to a symbol. \nRowBox[{\"Options\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the options explicitly specified in a particular expression such as a graphics object. \nRowBox[{\"Options\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] or RowBox[{\"Options\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sname\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives options associated with a particular stream. \nRowBox[{\"Options\", \"[\", StyleBox[\"object\", \"TI\"], \"]\"}] gives options associated with an external object such as a NotebookObject. \nRowBox[{\"Options\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the setting for the option StyleBox[\"name\", \"TI\"]. \nRowBox[{\"Options\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the settings for the options SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "OptionsPattern":"RowBox[{\"OptionsPattern\", \"[\", \"]\"}] is a pattern object that represents a collection of options given as rules, where the values of the options can be accessed using OptionValue. \nRowBox[{\"OptionsPattern\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] takes default option values from RowBox[{\"Options\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}].\nRowBox[{\"OptionsPattern\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses an explicit list of default option values.", + "OptionValue":"RowBox[{\"OptionValue\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives the value of StyleBox[\"name\", \"TI\"] in options matched by OptionsPattern. \nRowBox[{\"OptionValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"name\", \"TI\"] for options associated with the head StyleBox[\"f\", \"TI\"]. \nRowBox[{\"OptionValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] extracts option values from the explicit list of rules StyleBox[\"opts\", \"TI\"].\nRowBox[{\"OptionValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts several option values.", + "OptionValueBoxOptions":"RowBox[{OptionValueBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for OptionValueBox objects.", + "Or":"RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"||\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"||\", StyleBox[\"…\", \"TR\"]}] is the logical OR function. It evaluates its arguments in order, giving True immediately if any of them are True, and False if they are all False. ", + "Orange":"Orange represents the color orange in graphics or style specifications. ", + "Order":"RowBox[{\"Order\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives 1 if SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] is before SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] in canonical order, and RowBox[{\"-\", \"1\"}] if SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] is after SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] in canonical order. It gives 0 if SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] is identical to SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "OrderDistribution":"RowBox[{\"OrderDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order statistics distribution for StyleBox[\"n\", \"TI\"] observations from the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"OrderDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the joint RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], \"2\"], \",\", \"…\"}], \")\"}]SuperscriptBox[\"\", \"th\"]-order statistics distribution from StyleBox[\"n\", \"TI\"] observations from the distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"OrderDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the order statistics distribution for independent distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"OrderDistribution\", \"[\", RowBox[{StyleBox[\"mdist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the order statistics distribution for multivariate distribution StyleBox[\"mdist\", \"TI\"].", + "OrderedQ":"RowBox[{\"OrderedQ\", \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] gives True if the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are in canonical order, and False otherwise. ", + "Ordering":"RowBox[{\"Ordering\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the positions in StyleBox[\"list\", \"TI\"] at which each successive element of RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] appears. \nRowBox[{\"Ordering\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions in StyleBox[\"list\", \"TI\"] at which the first StyleBox[\"n\", \"TI\"] elements of RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] appear. \nRowBox[{\"Ordering\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the positions of the last StyleBox[\"n\", \"TI\"] elements of RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]. \nRowBox[{\"Ordering\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] uses RowBox[{\"Sort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}]. ", + "Orderless":"Orderless is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in expressions of the form RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] should automatically be sorted into canonical order. This property is accounted for in pattern matching. ", + "OrderlessPatternSequence":"RowBox[{\"OrderlessPatternSequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a pattern object that represents a sequence of arguments matching RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}] in any order.", + "OrnsteinUhlenbeckProcess":"RowBox[{\"OrnsteinUhlenbeckProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] represents a stationary Ornstein–Uhlenbeck process with long-term mean StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and mean reversion speed StyleBox[\"θ\", \"TR\"]. \nRowBox[{\"OrnsteinUhlenbeckProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents an Ornstein–Uhlenbeck process with initial condition SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "Orthogonalize":"RowBox[{\"Orthogonalize\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an orthonormal basis found by orthogonalizing the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Orthogonalize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an orthonormal basis found by orthogonalizing the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with respect to the inner product function StyleBox[\"f\", \"TI\"].", + "OrthogonalMatrixQ":"RowBox[{\"OrthogonalMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is an explicitly orthogonal matrix, and False otherwise.", + "Out":"RowBox[{\"%\", StyleBox[\"n\", \"TI\"]}] or RowBox[{\"Out\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object that is assigned to be the value produced on the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] output line. \n% gives the last result generated. \n%% gives the result before last. RowBox[{\"%%\", StyleBox[\"…\", \"TR\"], \"%\"}] (StyleBox[\"k\", \"TI\"] times) gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] previous result. ", + "Outer":"RowBox[{\"Outer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the generalized outer product of the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]], forming all possible combinations of the lowest‐level elements in each of them, and feeding them as arguments to StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Outer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] treats as separate elements only sublists at level StyleBox[\"n\", \"TI\"] in the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Outer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] treats as separate elements only sublists at level SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the corresponding SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "OutputAutoOverwrite":"OutputAutoOverwrite is an option for notebooks that specifies whether the output of a command should replace any existing output from a previous evaluation.", + "OutputControllabilityMatrix":"RowBox[{\"OutputControllabilityMatrix\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the output controllability matrix of the state-space model StyleBox[\"ssm\", \"TI\"].", + "OutputControllableModelQ":"RowBox[{\"OutputControllableModelQ\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives True if the state-space model StyleBox[\"ssm\", \"TI\"] is output controllable, and False otherwise.", + "OutputForm":"RowBox[{\"OutputForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a two-dimensional representation of StyleBox[\"expr\", \"TI\"] using only keyboard characters. ", + "OutputMathEditExpression":"OutputMathEditExpression is an internal symbol used for formatting.", + "OutputNamePacket":"RowBox[{\"OutputNamePacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains in StyleBox[\"string\", \"TI\"] the name assigned to the next output.", + "OutputResponse":"RowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the numeric output response of systems model StyleBox[\"sys\", \"TI\"] to the input StyleBox[\"u\", \"TI\"] for RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"≤\", StyleBox[\"t\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}].\nRowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"0\", \"]\"}], \",\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"1\", \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the output response of the discrete-time system StyleBox[\"sys\", \"TI\"] to the input sequence RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}].\nRowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic output response of system StyleBox[\"sys\", \"TI\"] to the input StyleBox[\"u\", \"TI\"] as a function of time StyleBox[\"t\", \"TI\"].\nRowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the output response for multiple inputs SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "OutputSizeLimit":"OutputSizeLimit is an option for notebooks that specifies the maximum size in bytes of expressions that will automatically be output in their entirety.", + "OutputStream":"RowBox[{\"OutputStream\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is an object that represents an output stream for functions such as Write. ", + "OverBar":"RowBox[{\"OverBar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a bar over StyleBox[\"expr\", \"TI\"].", + "OverDot":"RowBox[{\"OverDot\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a dot over StyleBox[\"expr\", \"TI\"].", + "Overflow":"RowBox[{\"Overflow\", \"[\", \"]\"}] represents a number too large to represent explicitly on your computer system.", + "OverHat":"RowBox[{\"OverHat\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a hat over StyleBox[\"expr\", \"TI\"].", + "Overlaps":"Overlaps is an option to string and sequence functions that specifies how to treat overlapping substrings. ", + "Overlay":"RowBox[{\"Overlay\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] displays as an overlay of all the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Overlay\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] displays as an overlay of SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"j\", \"TI\"]], ….\nRowBox[{\"Overlay\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] allows selections to be made and controls to be clicked in SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"s\", \"TI\"]].", + "OverlayBoxOptions":"RowBox[{OverlayBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for OverlayBox objects.", + "Overscript":"RowBox[{\"Overscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as OverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. ", + "OverscriptBox":"RowBox[{OverscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for OverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", + "OverscriptBoxOptions":"OverscriptBoxOptions is an option that specifies the style and display of OverscriptBox constructs.", + "OverTilde":"RowBox[{\"OverTilde\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a tilde over StyleBox[\"expr\", \"TI\"].", + "OverVector":"RowBox[{\"OverVector\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a right vector over StyleBox[\"expr\", \"TI\"].", + "OverwriteTarget":"OverwriteTarget is an option for functions like CopyFile that specifies whether to overwrite if target files already exist.", + "OwenT":"RowBox[{\"OwenT\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives Owen's T function RowBox[{StyleBox[\"T\", \"TI\"], \"(\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}].", + "OwnValues":"RowBox[{\"OwnValues\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the rule corresponding to any ownvalue defined for the symbol StyleBox[\"x\", \"TI\"].", + "PackingMethod":"PackingMethod is an option for GraphPlot and related functions that specifies how disconnected components should be packed together in the layout produced.", + "PaddedForm":"RowBox[{\"PaddedForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with all numbers in StyleBox[\"expr\", \"TI\"] padded to leave room for a total of StyleBox[\"n\", \"TI\"] digits. \nRowBox[{\"PaddedForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}]}], \"]\"}] prints with approximate real numbers having exactly StyleBox[\"f\", \"TI\"] digits to the right of the decimal point. ", + "Padding":"Padding is an option to various array and image operations that specifies what padding to use when extending beyond the original data specified.", + "PaddingLayer":"RowBox[{\"PaddingLayer\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a net layer that pads an input tensor with SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements at the beginning and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements at the end at level StyleBox[\"i\", \"TI\"] of the tensor.", + "PaddingSize":"PaddingSize is an option in AudioDelay and other functions that specifies the amount of padding.", + "PadeApproximant":"RowBox[{\"PadeApproximant\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] gives the Padé approximant to StyleBox[\"expr\", \"TI\"] about the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], with numerator order StyleBox[\"m\", \"TI\"] and denominator order StyleBox[\"n\", \"TI\"].\nRowBox[{\"PadeApproximant\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the diagonal Padé approximant to StyleBox[\"expr\", \"TI\"] about the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] of order StyleBox[\"n\", \"TI\"].", + "PadLeft":"RowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a list of length StyleBox[\"n\", \"TI\"] by padding StyleBox[\"list\", \"TI\"] with zeros on the left. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pads by repeating the element StyleBox[\"x\", \"TI\"]. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by cyclically repeating the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] leaves a margin of StyleBox[\"m\", \"TI\"] elements of padding on the right. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a nested list with length SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"]. \nRowBox[{\"PadLeft\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] pads a ragged array StyleBox[\"list\", \"TI\"] with zeros to make it full. ", + "PadRight":"RowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a list of length StyleBox[\"n\", \"TI\"] by padding StyleBox[\"list\", \"TI\"] with zeros on the right. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pads by repeating the element StyleBox[\"x\", \"TI\"]. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by cyclically repeating the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] leaves a margin of StyleBox[\"m\", \"TI\"] elements of padding on the left. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a nested list with length SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"]. \nRowBox[{\"PadRight\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] pads a ragged array StyleBox[\"list\", \"TI\"] with zeros to make it full. ", + "PageBreakAbove":"PageBreakAbove is an option for Cell which specifies whether a page break should be made immediately above the cell if the notebook that contains the cell is printed. ", + "PageBreakBelow":"PageBreakBelow is an option for Cell which specifies whether a page break should be made immediately below the cell if the notebook that contains the cell is printed. ", + "PageBreakWithin":"PageBreakWithin is an option for Cell which specifies whether a page break should be allowed within the cell if the notebook that contains the cell is printed. ", + "PageFooterLines":"PageFooterLines is an option for notebooks that specifies whether a horizontal line is inserted at the bottom of each page when the notebook is printed.", + "PageFooters":"PageFooters is an option for notebooks that specifies what should be inserted as the footer of each page of a notebook when it is printed.", + "PageHeaderLines":"PageHeaderLines is an option for notebooks that specifies whether a horizontal line is inserted at the top of each page when the notebook is printed.", + "PageHeaders":"PageHeaders is an option for notebooks that specifies what should be inserted as the header of each page of a notebook when it is printed.", + "PageRankCentrality":"RowBox[{\"PageRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives a list of page-rank centralities for the vertices in the graph StyleBox[\"g\", \"TI\"] and weight StyleBox[\"α\", \"TR\"].\nRowBox[{\"PageRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] gives a list of page-rank centralities, using weight StyleBox[\"α\", \"TR\"] and initial centralities StyleBox[\"β\", \"TR\"].\nRowBox[{\"PageRankCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "PageTheme":"PageTheme is an option for FormObject, GalleryView, and related functions that specifies an overall theme for a webpage and its elements.", + "PageWidth":"PageWidth is an option for output streams and for cells that specifies how wide each line of text is allowed to be.", + "Pagination":"Pagination is an option for GalleryView and related functions that specifies how pagination should be done in displayed output.", + "PairedBarChart":"RowBox[{\"PairedBarChart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a paired bar chart with bar lengths SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], … and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], …, respectively.\nRowBox[{\"PairedBarChart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a paired bar chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PairedBarChart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a paired bar chart from multiple datasets SubscriptBox[StyleBox[SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], StyleBox[\"j\", \"TI\"]].", + "PairedHistogram":"RowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] plots a paired histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \" \", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a paired histogram with bin width specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a paired histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots paired histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] and SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"j\", \"TI\"]}]].", + "PairedSmoothHistogram":"RowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] plots a paired smooth histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a paired smooth histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots a paired smooth histogram with distribution function StyleBox[\"dfun\", \"TI\"].\nRowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots paired smooth histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] and SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"j\", \"TI\"]}]].", + "PairedTTest":"RowBox[{\"PairedTTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"PairedTTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the mean of RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"–\", \" \", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] is zero.\nRowBox[{\"PairedTTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests a location measure against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"PairedTTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "PairedZTest":"RowBox[{\"PairedZTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of the StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"PairedZTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"PairedZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] tests for zero or equal means assuming a population variance StyleBox[\"σ\", \"TR\"].\nRowBox[{\"PairedZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the mean against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"PairedZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "PaletteNotebook":"RowBox[{\"PaletteNotebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a palette notebook that can be manipulated by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", + "PalettePath":"PalettePath is a global option that specifies which directories StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] searches for palettes on startup.", + "PalindromeQ":"RowBox[{\"PalindromeQ\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] returns True if the given list is identical to RowBox[{\"Reverse\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], and False otherwise.\nRowBox[{\"PalindromeQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns True if the integer StyleBox[\"n\", \"TI\"] is identical to RowBox[{\"IntegerReverse\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], and False otherwise.\nRowBox[{\"PalindromeQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] returns True if the given string is identical to RowBox[{\"StringReverse\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}], and False otherwise. ", + "Pane":"RowBox[{\"Pane\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as a pane containing StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Pane\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] makes the pane be StyleBox[\"w\", \"TI\"] printer's points wide, linewrapping the contents if necessary.\nRowBox[{\"Pane\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] makes the pane be StyleBox[\"w\", \"TI\"] points wide and StyleBox[\"h\", \"TI\"] points high, shrinking the contents if necessary.", + "PaneBoxOptions":"RowBox[{PaneBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PaneBox objects.", + "Panel":"RowBox[{\"Panel\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as a panel containing StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Panel\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"title\", \"TI\"]}], \"]\"}] gives the panel the specified title. \nRowBox[{\"Panel\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"title\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places StyleBox[\"title\", \"TI\"] at a position specified by StyleBox[\"pos\", \"TI\"]. \nRowBox[{\"Panel\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"title\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"title\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] places SubscriptBox[StyleBox[\"title\", \"TI\"], StyleBox[\"i\", \"TI\"]] at position SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Panel\", \"[\", \"]\"}] displays an empty panel. ", + "PanelBoxOptions":"RowBox[{PanelBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PanelBox objects.", + "Paneled":"Paneled is an option for Manipulate and related functions that specifies whether to give the output inside a panel.", + "PaneSelector":"RowBox[{\"PaneSelector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents an object that displays as a pane containing the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] is equal to StyleBox[\"v\", \"TI\"]. ", + "PaneSelectorBoxOptions":"RowBox[{PaneSelectorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PaneSelectorBox objects.", + "ParabolicCylinderD":"RowBox[{\"ParabolicCylinderD\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the parabolic cylinder function RowBox[{SubscriptBox[StyleBox[\"D\", \"TI\"], \"ν\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "ParagraphIndent":"ParagraphIndent is an option for Cell which specifies how far in printer's points to indent the first line of each paragraph of text. ", + "ParagraphSpacing":"ParagraphSpacing is an option for Cell, StyleBox, and Style that specifies how much extra space to leave between successive paragraphs of text. ", + "ParallelArray":"RowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates in parallel a list of length StyleBox[\"n\", \"TI\"], with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}], evaluated.\nRowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates in parallel an RowBox[{SubscriptBox[\"n\", \"1\"], \"\", SubscriptBox[\"n\", \"2\"], \"\", \"…\"}] array of nested lists, with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]. \nRowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates in parallel a list using the index origins SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] (default 1). \nRowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"origin\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] uses head StyleBox[\"h\", \"TI\"], rather than List, for each level of the array. ", + "ParallelCombine":"RowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"comb\", \"TI\"]}], \"]\"}] evaluates RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] in parallel by distributing parts of the computation to all parallel kernels and combining the partial results with StyleBox[\"comb\", \"TI\"].\nRowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"]\"}] is equivalent to RowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] if StyleBox[\"h\", \"TI\"] has attribute Flat, and RowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", \"Join\"}], \"]\"}] otherwise.", + "ParallelDo":"RowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] in parallel SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] times. \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] in parallel with the variable StyleBox[\"i\", \"TI\"] successively taking on the values 1 through SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] (in steps of 1). \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] looping in parallel over different values of StyleBox[\"j\", \"TI\"], etc. for each StyleBox[\"i\", \"TI\"]. ", + "Parallelepiped":"RowBox[{\"Parallelepiped\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a parallelepiped with origin StyleBox[\"p\", \"TI\"] and directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ParallelEvaluate":"RowBox[{\"ParallelEvaluate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates the expression StyleBox[\"expr\", \"TI\"] on all available parallel kernels and returns the list of results obtained.\nRowBox[{\"ParallelEvaluate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"kernel\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] on the parallel kernel specified. \nRowBox[{\"ParallelEvaluate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] on the parallel kernels SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Parallelization":"Parallelization is an option for Compile that specifies whether it should create a compiled function that could run in parallel. ", + "Parallelize":"RowBox[{\"Parallelize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] using automatic parallelization.", + "ParallelMap":"RowBox[{\"ParallelMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] in parallel to each element on the first level in StyleBox[\"expr\", \"TI\"].\nRowBox[{\"ParallelMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] in parallel to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"].", + "ParallelNeeds":"RowBox[{\"ParallelNeeds\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] evaluates RowBox[{\"Needs\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] on all available parallel kernels.", + "Parallelogram":"RowBox[{\"Parallelogram\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a parallelogram with origin StyleBox[\"p\", \"TI\"] and directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ParallelProduct":"RowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates the product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], StyleBox[\"expr\", FontSlant -> \"Italic\"]}] in parallel.\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}].\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps RowBox[{StyleBox[\"d\", \"TI\"], \"\", StyleBox[\"i\", \"TI\"]}].\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates the multiple product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{\"…\", \" \", StyleBox[\"expr\", FontSlant -> \"Italic\"]}]}]}] in parallel.", + "ParallelSubmit":"RowBox[{\"ParallelSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits StyleBox[\"expr\", \"TI\"] for evaluation on the next available parallel kernel and returns an EvaluationObject expression representing the submitted evaluation.\nRowBox[{\"ParallelSubmit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] builds a closure for the variables given before submitting StyleBox[\"expr\", \"TI\"].", + "ParallelSum":"RowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates in parallel the sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], StyleBox[\"expr\", FontSlant -> \"Italic\"]}].\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[StyleBox[\"min\", \"TI\"], FontSlant -> \"Italic\"]]}].\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps RowBox[{StyleBox[\"d\", \"TI\"], \"\", StyleBox[\"i\", \"TI\"]}].\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], …..\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates in parallel the multiple sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{\"…\", \" \", StyleBox[\"expr\", FontSlant -> \"Italic\"]}]}]}].", + "ParallelTable":"RowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"}\"}]}], \"]\"}] generates in parallel a list of SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] copies of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates in parallel a list of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"i\", \"TI\"] runs from StyleBox[\"1\", \"TR\"] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list. The list associated with StyleBox[\"i\", \"TI\"] is outermost.", + "ParallelTry":"RowBox[{\"ParallelTry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] evaluates RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] in parallel, returning the first result received.\nRowBox[{\"ParallelTry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] returns a list of the first StyleBox[\"k\", \"TI\"] results.", + "ParameterEstimator":"ParameterEstimator is an option to EstimatedDistribution and FindDistributionParameters that specifies what parameter estimator to use. ", + "ParameterMixtureDistribution":"RowBox[{\"ParameterMixtureDistribution\", \"[\", RowBox[{RowBox[{StyleBox[\"dist\", \"TI\"], \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}], \",\", RowBox[{StyleBox[\"θ\", \"TR\"], \"\", StyleBox[\"wdist\", \"TI\"]}]}], \"]\"}] represents a parameter mixture distribution where the parameter StyleBox[\"θ\", \"TR\"] is distributed according to the weight distribution StyleBox[\"wdist\", \"TI\"]. \nRowBox[{\"ParameterMixtureDistribution\", \"[\", RowBox[{RowBox[{StyleBox[\"dist\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a parameter mixture distribution where the parameter SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] has weight distribution SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]] has weight distribution SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", + "ParameterVariables":"ParameterVariables is an option for GroebnerBasis and PolynomialReduce. These variables will always be last in the ordering. By default, all variables that are not otherwise classified will become parameter variables. By specifying them explicitly one fixes their relative positions in the overall variable ordering.", + "ParametricFunction":"RowBox[{\"ParametricFunction\", \"[\", RowBox[{StyleBox[\"pars\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a function that computes a solution when evaluated with numerical values for the parameters StyleBox[\"pars\", \"TI\"]. ", + "ParametricNDSolve":"RowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] finds a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] for the function StyleBox[\"u\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] with parameters StyleBox[\"pars\", \"TI\"].\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}], StyleBox[\",\", \"MR\"], StyleBox[\" \", \"TR\"], StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}], StyleBox[\",\", \"MR\"], StyleBox[\" \", \"TR\"], StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] solves for the functions SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "ParametricNDSolveValue":"RowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] with functions determined by a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] with parameters StyleBox[\"pars\", \"TI\"].\nRowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", + "ParametricPlot":"RowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a parametric plot of a curve with StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] coordinates SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]] as a function of StyleBox[\"u\", \"TI\"]. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several parametric curves. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots a parametric region. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several parametric regions. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes parameters RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"].", + "ParametricPlot3D":"RowBox[{\"ParametricPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] produces a three-dimensional space curve parametrized by a variable StyleBox[\"u\", \"TI\"] which runs from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"ParametricPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] produces a three-dimensional surface parametrized by StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"]. \nRowBox[{\"ParametricPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots several objects together. \nRowBox[{\"ParametricPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes parameters RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"].", + "ParametricRegion":"RowBox[{\"ParametricRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a region in SuperscriptBox[\"\", \"n\"] given by the points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}] for parameters RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"∈\", \"\"}].\nRowBox[{\"ParametricRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constrains parameters to an interval RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}] etc. \nRowBox[{\"ParametricRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"cond\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] constrains parameters to satisfy the condition StyleBox[\"cond\", \"TI\"].", + "ParentBox":"RowBox[{ParentBox, \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the BoxObject that contains StyleBox[\"obj\", \"TI\"].", + "ParentCell":"RowBox[{\"ParentCell\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the CellObject that contains StyleBox[\"obj\", \"TI\"].", + "ParentDirectory":"RowBox[{\"ParentDirectory\", \"[\", \"]\"}] gives the parent of the current working directory. \nRowBox[{\"ParentDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the parent of the directory StyleBox[\"dir\", \"TI\"]. \nRowBox[{\"ParentDirectory\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the directory StyleBox[\"n\", \"TI\"] levels up from StyleBox[\"dir\", \"TI\"].", + "ParentForm":"ParentForm sets the parent form for a boxes format.", + "Parenthesize":"RowBox[{\"Parenthesize\", \"[\", \" \", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \" \", StyleBox[\"fmt\", \"TI\"], \",\", \" \", StyleBox[\"prec\", \"TI\"], \",\", \" \", StyleBox[\"group\", \"TI\"]}], \"]\"}] or RowBox[{\"Parenthesize\", \"[\", \" \", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \" \", StyleBox[\"fmt\", \"TI\"], \",\", \" \", RowBox[{\"{\", RowBox[{StyleBox[\"prec\", \"TI\"], \",\", \" \", StyleBox[\"group\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]}], \"]\"}] will represent StyleBox[\"expr\", \"TI\"] in format StyleBox[\"fmt\", \"TI\"] and parenthesize it if necessary when it is an operand to an operator of the given precedence and grouping.\nRowBox[{\"Parenthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"head\", \"TI\"]}], \"]\"}] infers StyleBox[\"prec\", \"TI\"] and StyleBox[\"group\", \"TI\"] from the operator, if any, used by the symbol StyleBox[\"head\", \"TI\"] in StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"Parenthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"prec\", \"TI\"], \",\", StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"side\", \"TI\"]}], \"]\"}] or RowBox[{\"Parenthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"head\", \"TI\"], \",\", StyleBox[\"side\", \"TI\"]}], \"]\"}] assume StyleBox[\"expr\", \"TI\"] appears on the specified side of the operator.", + "ParentNotebook":"RowBox[{\"ParentNotebook\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the NotebookObject that contains StyleBox[\"obj\", \"TI\"].", + "ParetoDistribution":"RowBox[{\"ParetoDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] represents a Pareto distribution with minimum value parameter StyleBox[\"k\", \"TI\"] and shape parameter StyleBox[\"α\", \"TR\"].\nRowBox[{\"ParetoDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Pareto type II distribution with location parameter StyleBox[\"μ\", \"TR\"].\nRowBox[{\"ParetoDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Pareto type IV distribution with shape parameter StyleBox[\"γ\", \"TR\"].", + "ParkData":"RowBox[{\"ParkData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the park StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ParkData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified park entities.\nRowBox[{\"ParkData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Part":"RowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", StyleBox[\"i\", \"TI\"], \"]\"}], \"]\"}] or RowBox[{\"Part\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] part of StyleBox[\"expr\", \"TI\"]. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"-\", StyleBox[\"i\", \"TI\"]}], \"]\"}], \"]\"}] counts from the end. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] or RowBox[{\"Part\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is equivalent to RowBox[{RowBox[{RowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", StyleBox[\"i\", \"TI\"], \"]\"}], \"]\"}], \"[\", RowBox[{\"[\", StyleBox[\"j\", \"TI\"], \"]\"}], \"]\"}], StyleBox[\"…\", \"TR\"]}]. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \"]\"}] gives a list of the parts SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of StyleBox[\"expr\", \"TI\"]. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \"]\"}] gives parts StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"].\nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"], \";;\", StyleBox[\"s\", \"TI\"]}], \"]\"}], \"]\"}] gives parts StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in steps of StyleBox[\"s\", \"TI\"].\nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] gives the value associated with the key \"\nStyleBox[\"key\", \"TI\"]\" in an association StyleBox[\"expr\", \"TI\"].\nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"Key\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \"]\"}], \"]\"}] gives the value associated with an arbitrary key StyleBox[\"k\", \"TI\"] in the association StyleBox[\"expr\", \"TI\"].", + "PartBehavior":"PartBehavior is an option to Query and related functions that specifies how nonexistent parts should be resolved.", + "PartialCorrelationFunction":"RowBox[{\"PartialCorrelationFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the partial correlation function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"PartialCorrelationFunction\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the partial correlation function at lags StyleBox[\"hspec\", \"TI\"] for the time series process StyleBox[\"tproc\", \"TI\"]. ", + "ParticleAcceleratorData":"RowBox[{\"ParticleAcceleratorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the particle accelerator StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ParticleAcceleratorData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified particle accelerator entities.\nRowBox[{\"ParticleAcceleratorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "ParticleData":"RowBox[{\"ParticleData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a subatomic particle or family of particles with the specified name. \nRowBox[{\"ParticleData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a version of the particle with charge StyleBox[\"q\", \"TI\"].", + "Partition":"RowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] partitions StyleBox[\"list\", \"TI\"] into nonoverlapping sublists of length StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] generates sublists with offset StyleBox[\"d\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] partitions a nested list into blocks of size SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×….\nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses offset SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}]}], \"]\"}] specifies that the first element of StyleBox[\"list\", \"TI\"] should appear at position SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]] in the first sublist, and the last element of StyleBox[\"list\", \"TI\"] should appear at or after position SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]] in the last sublist. If additional elements are needed, Partition fills them in by treating StyleBox[\"list\", \"TI\"] as cyclic. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pads if necessary by repeating the element StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads if necessary by cyclically repeating the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", \"}\"}]}], \"]\"}] uses no padding, and so can yield sublists of different lengths. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nlist\", \"TI\"], \",\", StyleBox[\"dlist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"klist\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"klist\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"padlist\", \"TI\"]}], \"]\"}] specifies alignments and padding in a nested list. ", + "PartitionGranularity":"PartitionGranularity is an option for audio analysis functions that specifies the partitioning of the audio.", + "PartitionsP":"RowBox[{\"PartitionsP\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number RowBox[{StyleBox[\"p\", \"TI\"], RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]}] of unrestricted partitions of the integer StyleBox[\"n\", \"TI\"]. ", + "PartitionsQ":"RowBox[{\"PartitionsQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number RowBox[{StyleBox[\"q\", \"TI\"], RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]}] of partitions of the integer StyleBox[\"n\", \"TI\"] into distinct parts. ", + "PartLayer":"RowBox[{\"PartLayer\", \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] represents a net layer that gives the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] part of the input.\nRowBox[{\"PartLayer\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives parts StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"].\nRowBox[{\"PartLayer\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes part SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in the input.", + "PartOfSpeech":"RowBox[{\"PartOfSpeech\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns the possible parts of speech for the specified word.", + "PartProtection":"PartProtection is an option for cloud expressions that controls which parts of their structure can be changed.", + "ParzenWindow":"RowBox[{\"ParzenWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Parzen window function of StyleBox[\"x\", \"TI\"].", + "PascalDistribution":"RowBox[{\"PascalDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a Pascal distribution with parameters StyleBox[\"n\", \"TI\"] and StyleBox[\"p\", \"TI\"].", + "PassEventsDown":"PassEventsDown is an option to EventHandler which specifies whether events handled by a particular event handler should be passed down to event handlers nested inside.", + "PassEventsUp":"PassEventsUp is an option to EventHandler that specifies whether events handled by a particular event handler should be passed up to event handlers in outer expressions.", + "Paste":"RowBox[{\"Paste\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] pastes StyleBox[\"expr\", \"TI\"] at the current insertion point in the input notebook. \nRowBox[{\"Paste\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] pastes StyleBox[\"expr\", \"TI\"] to the specified notebook.\nRowBox[{\"Paste\", \"[\", \"]\"}] pastes the contents of the system clipboard in the input notebook. ", + "PasteBoxFormInlineCells":"PasteBoxFormInlineCells is an option for cells that specifies whether a new inline cell is created when a typeset expression is pasted into a non-box-type cell.", + "PasteButton":"RowBox[{\"PasteButton\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents a button that pastes StyleBox[\"expr\", \"TI\"] whenever it is pressed. \nRowBox[{\"PasteButton\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] displays with StyleBox[\"label\", \"TI\"] on the button. ", + "Path":"Path is an option for Get and related functions which gives a list of directories to search in attempting to find an external file. ", + "PathGraph":"RowBox[{\"PathGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a path with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges between SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"+\", \"TR\"], StyleBox[\" \", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\" \", \"TI\"]}]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a path with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a path with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a path with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"->\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] to specify a path.", + "PathGraphQ":"RowBox[{\"PathGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a path and False otherwise.", + "Pattern":"RowBox[{StyleBox[\"s\", \"TI\"], \":\", StyleBox[\"obj\", \"TI\"]}] represents the pattern object StyleBox[\"obj\", \"TI\"], assigned the name StyleBox[\"s\", \"TI\"]. ", + "PatternSequence":"RowBox[{\"PatternSequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a pattern object that represents a sequence of arguments matching SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "PatternTest":"RowBox[{StyleBox[\"p\", \"TI\"], \"?\", StyleBox[\"test\", \"TI\"]}] is a pattern object that stands for any expression that matches StyleBox[\"p\", \"TI\"], and on which the application of StyleBox[\"test\", \"TI\"] gives True. ", + "PauliMatrix":"RowBox[{\"PauliMatrix\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] Pauli spin matrix SubscriptBox[\"σ\", StyleBox[\"k\", \"TI\"]].", + "PaulWavelet":"RowBox[{\"PaulWavelet\", \"[\", \"]\"}] represents a Paul wavelet of order 4.\nRowBox[{\"PaulWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Paul wavelet of order StyleBox[\"n\", \"TI\"].", + "Pause":"RowBox[{\"Pause\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] pauses for at least StyleBox[\"n\", \"TI\"] seconds. ", + "PDF":"RowBox[{\"PDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the probability density function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"PDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate probability density function for a distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"PDF\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the PDF as a pure function.", + "PeakDetect":"RowBox[{\"PeakDetect\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives a binary list in which 1s correspond to peak positions in StyleBox[\"data\", \"TI\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] detects peaks that survive Gaussian blurring up to scale StyleBox[\"σ\", \"TR\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] detects peaks with minimum sharpness StyleBox[\"s\", \"TI\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] detects only peaks with values greater than StyleBox[\"t\", \"TI\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"s\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"t\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses different scales for thresholding sharpness and value.", + "PeanoCurve":"RowBox[{\"PeanoCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Peano curve.", + "PearsonChiSquareTest":"RowBox[{\"PearsonChiSquareTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Pearson SuperscriptBox[\"χ\", \"2\"] test.\nRowBox[{\"PearsonChiSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Pearson SuperscriptBox[\"χ\", \"2\"] test.\nRowBox[{\"PearsonChiSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "PearsonCorrelationTest":"RowBox[{\"PearsonCorrelationTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are linearly independent.\nRowBox[{\"PearsonCorrelationTest\", \"[\", RowBox[{\"…\", \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "PearsonDistribution":"RowBox[{\"PearsonDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a distribution of the Pearson family with parameters SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"PearsonDistribution\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a Pearson distribution of given StyleBox[\"type\", \"TI\"]. ", + "PerfectNumber":"RowBox[{\"PerfectNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] perfect number.", + "PerfectNumberQ":"RowBox[{\"PerfectNumberQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns True if StyleBox[\"n\", \"TI\"] is a perfect integer, and False otherwise.", + "PerformanceGoal":"PerformanceGoal is an option for various algorithmic and presentational functions that specifies what aspect of performance to try to optimize with Automatic settings for options.", + "Perimeter":"RowBox[{\"Perimeter\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the perimeter of the two-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Perimeter\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the perimeter of the parametrized region whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"].\nRowBox[{\"Perimeter\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", + "PeriodicBoundaryCondition":"RowBox[{\"PeriodicBoundaryCondition\", \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"pred\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a periodic boundary condition RowBox[{RowBox[{\"u\", \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \"=\", RowBox[{\"u\", \"(\", RowBox[{StyleBox[\"f\", FontSlant -> \"Italic\"], \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \")\"}]}] for all SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"target\", \"TI\"]] on the boundary of the region given to NDSolve where StyleBox[\"pred\", \"TI\"] is True.\nRowBox[{\"PeriodicBoundaryCondition\", \"[\", RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \"+\", RowBox[{StyleBox[\"b\", \"TI\"], \" \", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}]}], \",\", StyleBox[\"pred\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a generalized periodic boundary condition RowBox[{RowBox[{\"u\", \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \"=\", RowBox[{\"a\", \"+\", RowBox[{\"b\", \" \", RowBox[{\"u\", \"(\", RowBox[{StyleBox[\"f\", FontSlant -> \"Italic\"], \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \")\"}]}]}]}].", + "Periodogram":"RowBox[{\"Periodogram\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] plots the squared magnitude of the discrete Fourier transform (power spectrum) of StyleBox[\"list\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] plots the mean of power spectra of non-overlapping partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"Periodogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] plots power spectra of several lists.\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the power spectrum of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the power spectra of all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "PeriodogramArray":"RowBox[{\"PeriodogramArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] returns the squared magnitude of the discrete Fourier transform (power spectrum) of StyleBox[\"list\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] averages the power spectra of non-overlapping partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns the squared power spectrum of StyleBox[\"image\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns the squared power spectrum of StyleBox[\"audio\", \"TI\"].", + "Permanent":"RowBox[{\"Permanent\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the permanent of the square matrix StyleBox[\"m\", \"TI\"]. ", + "Permissions":"Permissions is an option for CloudObject and related constructs that specifies permissions for classes of users to access or perform operations.", + "PermissionsGroup":"RowBox[{\"PermissionsGroup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a permissions group with the specified name, owned by the current user.\nRowBox[{\"PermissionsGroup\", \"[\", RowBox[{StyleBox[\"user\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a permissions group owned by the specified user.", + "PermissionsGroups":"RowBox[{\"PermissionsGroups\", \"[\", \"]\"}] gives a list of permissions groups that the current user can use.", + "PermissionsKey":"RowBox[{\"PermissionsKey\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a permissions key that can be used to authorize access to cloud resources.", + "PermissionsKeys":"RowBox[{\"PermissionsKeys\", \"[\", \"]\"}] gives a list of all valid permissions keys created by the currently authenticated user.", + "PermutationCycles":"RowBox[{\"PermutationCycles\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] gives a disjoint cycle representation of permutation StyleBox[\"perm\", \"TI\"].", + "PermutationCyclesQ":"RowBox[{\"PermutationCyclesQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a permutation in disjoint cyclic form, and False otherwise.", + "PermutationGroup":"RowBox[{\"PermutationGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the group generated by multiplication of the permutations RowBox[{SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", + "PermutationLength":"RowBox[{\"PermutationLength\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the number of integers moved by the permutation StyleBox[\"perm\", \"TI\"].", + "PermutationList":"RowBox[{\"PermutationList\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns a permutation list representation of permutation StyleBox[\"perm\", \"TI\"].\nRowBox[{\"PermutationList\", \"[\", RowBox[{StyleBox[\"perm\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] returns a permutation list of length StyleBox[\"len\", \"TI\"].", + "PermutationListQ":"RowBox[{\"PermutationListQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a valid permutation list and False otherwise.", + "PermutationMax":"RowBox[{\"PermutationMax\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the largest integer moved by the permutation StyleBox[\"perm\", \"TI\"].", + "PermutationMin":"RowBox[{\"PermutationMin\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the smallest integer moved by the permutation StyleBox[\"perm\", \"TI\"].", + "PermutationOrder":"RowBox[{\"PermutationOrder\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] gives the order of permutation StyleBox[\"perm\", \"TI\"].", + "PermutationPower":"RowBox[{\"PermutationPower\", \"[\", RowBox[{StyleBox[\"perm\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] permutation power of the permutation StyleBox[\"perm\", \"TI\"].", + "PermutationProduct":"RowBox[{\"PermutationProduct\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the product of permutations StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"], StyleBox[\"c\", \"TI\"].", + "PermutationReplace":"RowBox[{\"PermutationReplace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"perm\", \"TI\"]}], \"]\"}] replaces each part in StyleBox[\"expr\", \"TI\"] by its image under the permutation StyleBox[\"perm\", \"TI\"].\nRowBox[{\"PermutationReplace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"gr\", \"TI\"]}], \"]\"}] returns the list of images of StyleBox[\"expr\", \"TI\"] under all elements of the permutation group StyleBox[\"gr\", \"TI\"].", + "Permutations":"RowBox[{\"Permutations\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] generates a list of all possible permutations of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Permutations\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives all permutations containing at most StyleBox[\"n\", \"TI\"] elements.\nRowBox[{\"Permutations\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives all permutations containing exactly StyleBox[\"n\", \"TI\"] elements.", + "PermutationSupport":"RowBox[{\"PermutationSupport\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the support of the permutation StyleBox[\"perm\", \"TI\"].", + "Permute":"RowBox[{\"Permute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"perm\", \"TI\"]}], \"]\"}] permutes the positions of the elements of StyleBox[\"expr\", \"TI\"] according to the permutation StyleBox[\"perm\", \"TI\"].\nRowBox[{\"Permute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"gr\", \"TI\"]}], \"]\"}] returns the list of permuted forms of StyleBox[\"expr\", \"TI\"] under the elements of the permutation group StyleBox[\"gr\", \"TI\"].", + "PeronaMalikFilter":"RowBox[{\"PeronaMalikFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] applies a Perona–Malik diffusion filter to StyleBox[\"image\", \"TI\"].\nRowBox[{\"PeronaMalikFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] specifies the amount of diffusion time StyleBox[\"t\", \"TI\"] to be applied. \nRowBox[{\"PeronaMalikFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] uses a conductance parameter StyleBox[\"k\", \"TI\"].\nRowBox[{\"PeronaMalikFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] applies a Gaussian regularization of width StyleBox[\"σ\", \"TR\"] to the image gradient in the conductance function.", + "PersistenceLocation":"RowBox[{\"PersistenceLocation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a persistence location of the given type.\nRowBox[{\"PersistenceLocation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] includes the base address for a location type that allows multiple locations.", + "PersistenceTime":"PersistenceTime is an option for various functions that specifies when a persistent value should be treated as expired.", + "PersistentObject":"RowBox[{\"PersistentObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] represents a persistent object stored at persistence location StyleBox[\"loc\", \"TI\"].", + "PersistentObjects":"RowBox[{\"PersistentObjects\", \"[\", \"]\"}] gives all persistent objects in all locations in $PersistencePath.\nRowBox[{\"PersistentObjects\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] gives all persistent objects whose names match the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"PersistentObjects\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] gives all matching persistent objects in persistence location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"PersistentObjects\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives all matching persistent objects in all the SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "PersistentValue":"RowBox[{\"PersistentValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the persistent value associated with the key \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"PersistentValue\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] represents the persistent value associated with StyleBox[\"name\", \"TI\"] stored in persistence location StyleBox[\"loc\", \"TI\"]. \nRowBox[{\"PersistentValue\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the persistent value associated with StyleBox[\"name\", \"TI\"] at the first of the locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]] at which it occurs.", + "PersonData":"RowBox[{\"PersonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the person StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PersonData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified person entities.\nRowBox[{\"PersonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "PERTDistribution":"RowBox[{\"PERTDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a PERT distribution with range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"] and mode at StyleBox[\"c\", \"TI\"].\nRowBox[{\"PERTDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a modified PERT distribution with shape parameter StyleBox[\"λ\", \"TR\"].", + "PetersenGraph":"RowBox[{\"PetersenGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the generalized Petersen graph SubscriptBox[\"P\", RowBox[{\"n\", \",\", \" \", \"k\"}]].", + "PhaseMargins":"RowBox[{\"PhaseMargins\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the phase margins of the linear time-invariant system StyleBox[\"lsys\", \"TI\"].", + "PhaseRange":"PhaseRange is an option to BodePlot and NicholsPlot that specifies the phase range.", + "PhysicalSystemData":"RowBox[{\"PhysicalSystemData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the physical system StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PhysicalSystemData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified physical system entities.\nRowBox[{\"PhysicalSystemData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Pi":"Pi is π, with numerical value RowBox[{\"≃\", \"3.14159\"}]. ", + "Pick":"RowBox[{\"Pick\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] picks out those elements of StyleBox[\"list\", \"TI\"] for which the corresponding element of StyleBox[\"sel\", \"TI\"] is True. \nRowBox[{\"Pick\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] picks out those elements of StyleBox[\"list\", \"TI\"] for which the corresponding element of StyleBox[\"sel\", \"TI\"] matches StyleBox[\"patt\", \"TI\"]. ", + "PIDData":"RowBox[{\"PIDData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents PID data generated by PIDTune function.", + "PIDDerivativeFilter":"PIDDerivativeFilter is an option to PIDTune that controls the filtering used for derivative terms.", + "PIDFeedforward":"PIDFeedforward is an option to PIDTune that controls the reference weights used for the feedforward filter. ", + "PIDTune":"RowBox[{\"PIDTune\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives a feedback PID controller for the linear time-invariant system StyleBox[\"lsys\", \"TI\"]. \nRowBox[{\"PIDTune\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"carch\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a controller of architecture \"\nStyleBox[\"carch\", \"TI\"]\" (\"P\", \"PI\", \"PID\", etc). \nRowBox[{\"PIDTune\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"carch\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"trule\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] gives a controller using the tuning rule \"\nStyleBox[\"trule\", \"TI\"]\". \nRowBox[{\"PIDTune\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value for the property \"\nStyleBox[\"prop\", \"TI\"]\". ", + "Piecewise":"RowBox[{\"Piecewise\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a piecewise function with values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the regions defined by the conditions SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Piecewise\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] uses default value StyleBox[\"val\", \"TI\"] if none of the SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"i\", \"TI\"]] apply. The default for StyleBox[\"val\", \"TI\"] is 0. ", + "PiecewiseExpand":"RowBox[{\"PiecewiseExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands nested piecewise functions in StyleBox[\"expr\", \"TI\"] to give a single piecewise function. \nRowBox[{\"PiecewiseExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] expands piecewise functions using assumptions. \nRowBox[{\"PiecewiseExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] does the expansion over the domain StyleBox[\"dom\", \"TI\"]. ", + "PieChart":"RowBox[{\"PieChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a pie chart with sector angle proportional to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"PieChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a pie chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PieChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a pie chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "PieChart3D":"RowBox[{\"PieChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D pie chart with sector angle proportional to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"PieChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D pie chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PieChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D pie chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "PillaiTrace":"RowBox[{\"PillaiTrace\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Pillai's trace for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "PillaiTraceTest":"RowBox[{\"PillaiTraceTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"PillaiTraceTest\", \"[\", RowBox[{\"…\", \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "PingTime":"RowBox[{\"PingTime\", \"[\", StyleBox[\"host\", \"TI\"], \"]\"}] gives the round-trip ping time for the specified network host.\nRowBox[{\"PingTime\", \"[\", RowBox[{StyleBox[\"host\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of times for StyleBox[\"n\", \"TI\"] successive pings.", + "Pink":"Pink represents the color pink in graphics or style specifications. ", + "Pivoting":"Pivoting is an option to certain matrix decomposition functions. With RowBox[{\"Pivoting\", \" \", \"->\", \" \", \"False\"}], no pivoting is done. With RowBox[{\"Pivoting\", \" \", \"->\", \" \", \"True\"}], column pivoting is carried out and the list of matrices returned is augmented by the appropriate permutation matrix.", + "PixelConstrained":"PixelConstrained is an option for ArrayPlot that specifies how to constrain cells to align with displayed pixels.", + "PixelValue":"RowBox[{\"PixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ppos\", \"TI\"]}], \"]\"}] gives the pixel value of StyleBox[\"image\", \"TI\"] at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"PixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ppos\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the pixel value converted to the specified type.", + "PixelValuePositions":"RowBox[{\"PixelValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] returns a list of pixel positions in StyleBox[\"image\", \"TI\"] that match the value StyleBox[\"val\", \"TI\"].\nRowBox[{\"PixelValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] returns all pixel positions that have values within a distance StyleBox[\"d\", \"TI\"] from StyleBox[\"val\", \"TI\"].", + "Placed":"RowBox[{\"Placed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] represents an expression StyleBox[\"expr\", \"TI\"] placed at relative position StyleBox[\"pos\", \"TI\"] in a chart or other display. \nRowBox[{\"Placed\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places each of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] at a relative position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Placed\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to each of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] before displaying it.", + "Placeholder":"RowBox[{\"Placeholder\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] represents a placeholder labeled with StyleBox[\"name\", \"TI\"] that indicates a place to type.\nRowBox[{\"Placeholder\", \"[\", \"]\"}] gives the empty placeholder .", + "PlaceholderReplace":"PlaceholderReplace is an option to Paste that determines whether to replace a selection placeholder with the selected contents.", + "Plain":"Plain represents a font that is not bold, italic, or underlined.", + "PlanarGraph":"RowBox[{\"PlanarGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a planar graph with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PlanarGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a planar graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PlanarGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a planar graph with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PlanarGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] to specify a planar graph.", + "PlanarGraphQ":"RowBox[{\"PlanarGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if StyleBox[\"g\", \"TI\"] is a planar graph and False otherwise.", + "PlanckRadiationLaw":"RowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] returns the spectral radiance for the specified temperature and wavelength StyleBox[\"λ\", \"TR\"].\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns the spectral radiance for the specified temperature and frequency StyleBox[\"f\", \"TI\"].\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property for the specified temperature.\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns the integrated result of the spectral radiance over the wavelength range SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns the integrated result of the spectral radiance over the frequency range SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "PlaneCurveData":"RowBox[{\"PlaneCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the plane curve StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlaneCurveData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified plane curve entities.\nRowBox[{\"PlaneCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "PlanetaryMoonData":"RowBox[{\"PlanetaryMoonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the planetary moon StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlanetaryMoonData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified moon entities.\nRowBox[{\"PlanetaryMoonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", + "PlanetData":"RowBox[{\"PlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the planet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlanetData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified planet entities.\nRowBox[{\"PlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", + "PlantData":"RowBox[{\"PlantData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the plant StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlantData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified plant entities.\nRowBox[{\"PlantData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", + "Play":"RowBox[{\"Play\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] creates an object that plays as a sound whose amplitude is given by StyleBox[\"f\", \"TI\"] as a function of time StyleBox[\"t\", \"TI\"] in seconds between SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]. ", + "PlayRange":"PlayRange is an option for Play and related functions which specifies what range of sound amplitude levels should be included. ", + "Plot":"RowBox[{\"Plot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Plot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Plot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"Plot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", + "Plot3D":"RowBox[{\"Plot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a three-dimensional plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"Plot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions. \nRowBox[{\"Plot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", + "PlotDivision":"PlotDivision is an option for Plot that specifies the maximum amount of subdivision to be used.", + "PlotJoined":"PlotJoined is an option for ListPlot that specifies whether the points plotted should be joined by a line. ", + "PlotLabel":"PlotLabel is an option for graphics functions that specifies an overall label for a plot. ", + "PlotLabels":"PlotLabels is an option for visualization functions that specifies what labels to use for each data source.", + "PlotLayout":"PlotLayout is an option for plotting functions that specifies the layout of multiple components in a plot.", + "PlotLegends":"PlotLegends is an option for plot functions that specifies what legends to use. ", + "PlotMarkers":"PlotMarkers is an option for graphics functions like ListPlot and ListLinePlot that specifies what markers to draw at the points plotted. ", + "PlotPoints":"PlotPoints is an option for plotting functions that specifies how many initial sample points to use. ", + "PlotRange":"PlotRange is an option for graphics functions that specifies what range of coordinates to include in a plot. ", + "PlotRangeClipping":"PlotRangeClipping is an option for graphics functions that specifies whether graphics objects should be clipped at the edge of the region defined by PlotRange, or should be allowed to extend to the actual edge of the image. ", + "PlotRangePadding":"PlotRangePadding is an option for graphics functions that specifies how much further axes etc. should extend beyond the range of coordinates specified by PlotRange. ", + "PlotRegion":"PlotRegion is an option for graphics functions that specifies what region of the final display area a plot should fill. ", + "PlotStyle":"PlotStyle is an option for plotting and related functions that specifies styles in which objects are to be drawn. ", + "PlotTheme":"PlotTheme is an option for plotting and related functions that specifies an overall theme for visualization elements and styles. ", + "Pluralize":"RowBox[{\"Pluralize\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"noun\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the plural form of the English word \"noun\".\nRowBox[{\"Pluralize\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"noun\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the inflected form of \"\nStyleBox[\"noun\", \"TI\"]\" for StyleBox[\"n\", \"TI\"] instances. \nRowBox[{\"Pluralize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"singular\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"plural\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] inflects using the specified forms.\nRowBox[{\"Pluralize\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] uses the length of StyleBox[\"list\", \"TI\"] to determine the inflection to use. ", + "Plus":"RowBox[{StyleBox[\"x\", \"TI\"], \"+\", StyleBox[\"y\", \"TI\"], \"+\", StyleBox[\"z\", \"TI\"]}] represents a sum of terms. ", + "PlusMinus":"RowBox[{\"PlusMinus\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"±\", StyleBox[\"x\", \"TI\"]}].\nRowBox[{\"PlusMinus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"±\", StyleBox[\"y\", \"TI\"]}], \"±\", StyleBox[\"…\", \"TR\"]}].", + "Pochhammer":"RowBox[{\"Pochhammer\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Pochhammer symbol SubscriptBox[RowBox[{\"(\", StyleBox[\"a\", \"TI\"], \")\"}], StyleBox[\"n\", \"TI\"]]. ", + "PodStates":"PodStates is an option for WolframAlpha that determines information about the states of the pods.", + "PodWidth":"PodWidth is an option for WolframAlpha that determines the width parameters of the content returned by the Wolfram|Alpha API.", + "Point":"RowBox[{\"Point\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a graphics and geometry primitive that represents a point at StyleBox[\"p\", \"TI\"]. \nRowBox[{\"Point\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of points. ", + "Point3DBoxOptions":"RowBox[{Point3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Point3DBox objects.", + "PointBoxOptions":"RowBox[{PointBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PointBox objects.", + "PointFigureChart":"RowBox[{\"PointFigureChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a point and figure chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PointFigureChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a point and figure chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"PointFigureChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a point and figure chart with point and figure height StyleBox[\"s\", \"TI\"] and StyleBox[\"n\", \"TI\"] reversals.", + "PointLegend":"RowBox[{\"PointLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a legend that associates points of colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PointLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"Automatic\"}], \"]\"}] generates a legend with placeholder labels for the colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PointLegend\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a legend with inherited colors within visualization functions.", + "PointSize":"RowBox[{\"PointSize\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is a graphics directive which specifies that points which follow are to be shown if possible as circular regions with diameter StyleBox[\"d\", \"TI\"]. The diameter StyleBox[\"d\", \"TI\"] is given as a fraction of the total width of the plot. ", + "PoissonConsulDistribution":"RowBox[{\"PoissonConsulDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a Poisson–Consul distribution with parameters StyleBox[\"μ\", \"TR\"] and StyleBox[\"λ\", \"TR\"].", + "PoissonDistribution":"RowBox[{\"PoissonDistribution\", \"[\", StyleBox[\"μ\", \"TR\"], \"]\"}] represents a Poisson distribution with mean StyleBox[\"μ\", \"TR\"].", + "PoissonProcess":"RowBox[{\"PoissonProcess\", \"[\", StyleBox[\"μ\", \"TR\"], \"]\"}] represents a Poisson process with rate StyleBox[\"μ\", \"TR\"].", + "PoissonWindow":"RowBox[{\"PoissonWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Poisson window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"PoissonWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "PolarAxes":"PolarAxes is an option for sector charts and polar plots that specifies whether polar axes should be drawn.", + "PolarAxesOrigin":"PolarAxesOrigin is an option for sector charts and polar plots that specifies where polar axes should be drawn.", + "PolarGridLines":"PolarGridLines is an option for sector charts and polar plots that specifies polar grid lines.", + "PolarPlot":"RowBox[{\"PolarPlot\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a polar plot of a curve with radius StyleBox[\"r\", \"TI\"] as a function of angle StyleBox[\"θ\", \"TR\"].\nRowBox[{\"PolarPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a polar plot of curves with radius functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "PolarTicks":"PolarTicks is an option for sector charts and polar plots that specifies tick marks for polar axes.", + "PoleZeroMarkers":"PoleZeroMarkers is an option for RootLocusPlot that specifies the markers to be drawn on the complex plane at the open-loop poles, closed-loop poles, and open-loop zeros.", + "PolyaAeppliDistribution":"RowBox[{\"PolyaAeppliDistribution\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a Pólya–Aeppli distribution with shape parameters StyleBox[\"θ\", \"TR\"] and StyleBox[\"p\", \"TI\"]. ", + "PolyGamma":"RowBox[{\"PolyGamma\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the digamma function RowBox[{\"ψ\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"PolyGamma\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] derivative of the digamma function RowBox[{SuperscriptBox[\"ψ\", RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "Polygon":"RowBox[{\"Polygon\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a filled polygon with points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Polygon\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of polygons. ", + "Polygon3DBoxOptions":"RowBox[{Polygon3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Polygon3DBox objects.", + "PolygonalNumber":"RowBox[{\"PolygonalNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] triangular number SubscriptBox[\"T\", \"n\"].\nRowBox[{\"PolygonalNumber\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] StyleBox[\"r\", \"TI\"]-gonal number SubsuperscriptBox[\"P\", \"n\", RowBox[{\" \", \"r\"}]].", + "PolygonBoxOptions":"RowBox[{PolygonBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PolygonBox objects.", + "PolygonIntersections":"PolygonIntersections is an option for Graphics3D which specifies whether intersecting polygons should be left unchanged. ", + "PolyhedronData":"RowBox[{\"PolyhedronData\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the polyhedron named StyleBox[\"poly\", \"TI\"].\nRowBox[{\"PolyhedronData\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives an image of the polyhedron named StyleBox[\"poly\", \"TI\"].\nRowBox[{\"PolyhedronData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the polyhedra in the specified class.", + "PolyLog":"RowBox[{\"PolyLog\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the polylogarithm function RowBox[{SubscriptBox[\"Li\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"PolyLog\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Nielsen generalized polylogarithm function RowBox[{SubscriptBox[StyleBox[\"S\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "PolynomialExtendedGCD":"RowBox[{\"PolynomialExtendedGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the extended GCD of SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] treated as univariate polynomials in StyleBox[\"x\", \"TI\"].\nRowBox[{\"PolynomialExtendedGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] gives the extended GCD over the integers mod prime StyleBox[\"p\", \"TI\"].", + "PolynomialGCD":"RowBox[{\"PolynomialGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the greatest common divisor of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PolynomialGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] evaluates the GCD modulo the prime StyleBox[\"p\", \"TI\"]. ", + "PolynomialLCM":"RowBox[{\"PolynomialLCM\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the least common multiple of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PolynomialLCM\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] evaluates the LCM modulo the prime StyleBox[\"p\", \"TI\"]. ", + "PolynomialMod":"RowBox[{\"PolynomialMod\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the polynomial StyleBox[\"poly\", \"TI\"] reduced modulo StyleBox[\"m\", \"TI\"]. \nRowBox[{\"PolynomialMod\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reduces modulo all of the SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "PolynomialQ":"RowBox[{\"PolynomialQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a polynomial in StyleBox[\"var\", \"TI\"], and yields False otherwise. \nRowBox[{\"PolynomialQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether StyleBox[\"expr\", \"TI\"] is a polynomial in the SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "PolynomialQuotient":"RowBox[{\"PolynomialQuotient\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the quotient of StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"], treated as polynomials in StyleBox[\"x\", \"TI\"], with any remainder dropped. ", + "PolynomialQuotientRemainder":"RowBox[{\"PolynomialQuotientRemainder\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a list of the quotient and remainder of StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"], treated as polynomials in StyleBox[\"x\", \"TI\"]. ", + "PolynomialReduce":"RowBox[{\"PolynomialReduce\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a list representing a reduction of StyleBox[\"poly\", \"TI\"] in terms of the SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. The list has the form RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], where StyleBox[\"b\", \"TI\"] is minimal and RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", StyleBox[\"b\", \"TI\"]}] is exactly StyleBox[\"poly\", \"TI\"]. ", + "PolynomialRemainder":"RowBox[{\"PolynomialRemainder\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the remainder from dividing StyleBox[\"p\", \"TI\"] by StyleBox[\"q\", \"TI\"], treated as polynomials in StyleBox[\"x\", \"TI\"]. ", + "PoolingLayer":"RowBox[{\"PoolingLayer\", \"[\", StyleBox[\"sz\", \"TI\"], \"]\"}] represents a pooling net layer using kernels of size StyleBox[\"sz\", \"TI\"].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{\"{\", StyleBox[\"w\", \"TI\"], \"}\"}], \"]\"}] represents a layer performing one-dimensional pooling with kernels of size StyleBox[\"w\", \"TI\"].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] represents a layer performing two-dimensional pooling with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}] represents a layer performing three-dimensional pooling with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"], \"×\", StyleBox[\"d\", \"TI\"]}].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{StyleBox[\"kernel\", \"TI\"], \",\", StyleBox[\"stride\", \"TI\"]}], \"]\"}] represents a layer that uses StyleBox[\"stride\", \"TI\"] as the step size between kernel applications.\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{StyleBox[\"kernel\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for other pooling methods, padding and other parameters.", + "PopupMenu":"RowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a popup menu with setting StyleBox[\"x\", \"TI\"] and possible values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset every time an item is selected from the menu. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a popup menu in which possible value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] is indicated by SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dlbl\", \"TI\"]}], \"]\"}] displays the menu item as StyleBox[\"dlbl\", \"TI\"] if StyleBox[\"x\", \"TI\"] is none of the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"dlbl\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] displays as StyleBox[\"base\", \"TI\"] when it is not being clicked. ", + "PopupMenuBoxOptions":"RowBox[{PopupMenuBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PopupMenuBox objects.", + "PopupView":"RowBox[{\"PopupView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object which displays as a popup menu whose items are the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PopupView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] entry be the one currently chosen.\nRowBox[{\"PopupView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] displays as StyleBox[\"base\", \"TI\"] if it is not being clicked.", + "PopupWindow":"RowBox[{\"PopupWindow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"contents\", \"TI\"]}], \"]\"}] displays as StyleBox[\"expr\", \"TI\"], but pops up a window containing StyleBox[\"contents\", \"TI\"] when clicked.", + "Position":"RowBox[{\"Position\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives a list of the positions at which objects matching StyleBox[\"pattern\", \"TI\"] appear in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Position\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] finds only objects that appear on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Position\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions of the first StyleBox[\"n\", \"TI\"] objects found. \nRowBox[{\"Position\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of Position that can be applied to an expression.", + "PositionIndex":"RowBox[{\"PositionIndex\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives an association between unique elements in StyleBox[\"list\", \"TI\"] and the positions at which they occur.\nRowBox[{\"PositionIndex\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives an association whose keys are the distinct values in StyleBox[\"assoc\", \"TI\"], and whose values are lists of the keys with which they are associated.", + "Positive":"RowBox[{\"Positive\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a positive number. ", + "PositiveDefiniteMatrixQ":"RowBox[{\"PositiveDefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly positive definite, and False otherwise. ", + "PositiveSemidefiniteMatrixQ":"RowBox[{\"PositiveSemidefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly positive semidefinite, and False otherwise. ", + "PossibleZeroQ":"RowBox[{\"PossibleZeroQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if basic symbolic and numerical methods suggest that StyleBox[\"expr\", \"TI\"] has value zero, and gives False otherwise. ", + "Postfix":"RowBox[{\"Postfix\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \"]\"}] prints with RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] given in default postfix form: RowBox[{StyleBox[\"expr\", \"TI\"], \"\/\/\", StyleBox[\"f\", \"TI\"]}]. \nRowBox[{\"Postfix\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] prints as StyleBox[\"exprh\", \"TI\"]. ", + "Power":"RowBox[{StyleBox[\"x\", \"TI\"], \"^\", StyleBox[\"y\", \"TI\"]}] gives StyleBox[\"x\", \"TI\"] to the power StyleBox[\"y\", \"TI\"].", + "PowerDistribution":"RowBox[{\"PowerDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] represents a power distribution with domain parameter StyleBox[\"k\", \"TI\"] and shape parameter StyleBox[\"a\", \"TI\"].", + "PowerExpand":"RowBox[{\"PowerExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands all powers of products and powers. \nRowBox[{\"PowerExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] expands only with respect to the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "PowerMod":"RowBox[{\"PowerMod\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives RowBox[{SuperscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"]], \" \", \"mod\", \" \", StyleBox[\"m\", \"TI\"]}]. \nRowBox[{\"PowerMod\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"-\", \"1\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds the modular inverse of StyleBox[\"a\", \"TI\"] modulo StyleBox[\"m\", \"TI\"].\nRowBox[{\"PowerMod\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"1\", \"\/\", StyleBox[\"r\", \"TI\"]}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds a modular StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] root of StyleBox[\"a\", \"TI\"].", + "PowerModList":"RowBox[{\"PowerModList\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{StyleBox[\"s\", \"TI\"], \"\/\", StyleBox[\"r\", \"TI\"]}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives a list of all StyleBox[\"x\", \"TI\"] modulo StyleBox[\"m\", \"TI\"] for which RowBox[{SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"r\", \"TI\"]], \"≡\", SuperscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"s\", \"TI\"]]}] mod StyleBox[\"m\", \"TI\"].", + "PowerRange":"RowBox[{\"PowerRange\", \"[\", StyleBox[\"b\", \"TI\"], \"]\"}] generates the list RowBox[{\"{\", RowBox[{\"1\", \",\", \"10\", \",\", \"100\", \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], where StyleBox[\"max\", \"TI\"] is the largest power of 10 that does not exceed StyleBox[\"b\", \"TI\"].\nRowBox[{\"PowerRange\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] generates the list RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"10\", StyleBox[\"a\", \"TI\"]}], \",\", RowBox[{\"100\", StyleBox[\"a\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], with successive elements increasing by factors of 10. \nRowBox[{\"PowerRange\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] uses factors of StyleBox[\"r\", \"TI\"] instead of 10.", + "PowerSpectralDensity":"RowBox[{\"PowerSpectralDensity\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] estimates the power spectral density for StyleBox[\"data\", \"TI\"].\nRowBox[{\"PowerSpectralDensity\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"sspec\", \"TI\"]}], \"]\"}] estimates the power spectral density for StyleBox[\"data\", \"TI\"] with smoothing specification StyleBox[\"sspec\", \"TI\"].\nRowBox[{\"PowerSpectralDensity\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] represents the power spectral density of a time series process StyleBox[\"tproc\", \"TI\"].", + "PowersRepresentations":"RowBox[{\"PowersRepresentations\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the distinct representations of the integer StyleBox[\"n\", \"TI\"] as a sum of StyleBox[\"k\", \"TI\"] non-negative StyleBox[\"p\", \"TI\"]SuperscriptBox[\"\", \"th\"] integer powers.", + "PowerSymmetricPolynomial":"RowBox[{\"PowerSymmetricPolynomial\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents a formal power symmetric polynomial with exponent StyleBox[\"r\", \"TI\"].\nRowBox[{\"PowerSymmetricPolynomial\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate formal power symmetric polynomial with exponents SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"PowerSymmetricPolynomial\", \"[\", StyleBox[RowBox[{\"rspec\", \",\", \"data\"}], \"TI\"], \"]\"}] gives the power symmetric polynomial in StyleBox[\"data\", \"TI\"]. ", + "Precedence":"RowBox[{\"Precedence\", \"[\", StyleBox[\"sym\", \"TI\"], \"]\"}] returns the precedence of the output operator associated to the symbol StyleBox[\"sym\", \"TI\"].\nRowBox[{\"Precedence\", \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] returns the precedence of the operator of used in the typeset expression StyleBox[\"boxes\", \"TI\"], assuming it was typeset in the format StyleBox[\"fmt\", \"TI\"].", + "PrecedenceForm":"RowBox[{\"PrecedenceForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"prec\", \"TI\"]}], \"]\"}] prints with StyleBox[\"expr\", \"TI\"] parenthesized as it would be if it contained an operator with precedence StyleBox[\"prec\", \"TI\"]. ", + "Precedes":"RowBox[{\"Precedes\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≺\", StyleBox[\"y\", \"TI\"], \"≺\", \"…\"}].", + "PrecedesEqual":"RowBox[{\"PrecedesEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪯\", StyleBox[\"y\", \"TI\"], \"⪯\", \"…\"}].", + "PrecedesSlantEqual":"RowBox[{\"PrecedesSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≼\", StyleBox[\"y\", \"TI\"], \"≼\", \"…\"}].", + "PrecedesTilde":"RowBox[{\"PrecedesTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≾\", StyleBox[\"y\", \"TI\"], \"≾\", \"…\"}].", + "Precision":"RowBox[{\"Precision\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the effective number of digits of precision in the number StyleBox[\"x\", \"TI\"]. ", + "PrecisionGoal":"PrecisionGoal is an option for various numerical operations which specifies how many effective digits of precision should be sought in the final result. ", + "PreDecrement":"RowBox[{\"--\", StyleBox[\"x\", \"TI\"]}] decreases the value of StyleBox[\"x\", \"TI\"] by 1, returning the new value of StyleBox[\"x\", \"TI\"]. ", + "Predict":"RowBox[{\"Predict\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"PredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the example input-output pairs given.\nRowBox[{\"Predict\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates the same result.\nRowBox[{\"Predict\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] attempts to predict the output associated with StyleBox[\"input\", \"TI\"] from the training examples given.\nRowBox[{\"Predict\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] uses the built-in predictor function represented by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"Predict\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] takes an existing predictor function and modifies it with the new options given.", + "PredictorFunction":"RowBox[{\"PredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by Predict that predicts numerical values from data.", + "PredictorInformation":"RowBox[{\"PredictorInformation\", \"[\", StyleBox[\"predictor\", \"TI\"], \"]\"}] generates a report giving information on the predictor function StyleBox[\"predictor\", \"TI\"].\nRowBox[{\"PredictorInformation\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives information for StyleBox[\"predictor\", \"TI\"] associated with property StyleBox[\"prop\", \"TI\"].", + "PredictorMeasurements":"RowBox[{\"PredictorMeasurements\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives measurements associated with the property StyleBox[\"prop\", \"TI\"] when StyleBox[\"predictor\", \"TI\"] is evaluated on StyleBox[\"testset\", \"TI\"].\nRowBox[{\"PredictorMeasurements\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"]}], \"]\"}] yields a RowBox[{\"PredictorMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to any property.", + "PredictorMeasurementsObject":"RowBox[{\"PredictorMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an object generated by PredictorMeasurements that can be applied to properties.", + "PreemptProtect":"RowBox[{\"PreemptProtect\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], without any interruption from preemptive evaluations.", + "PreferencesPath":"PreferencesPath is a global option that specifies which directories are searched for user-specific settings when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", + "Prefix":"RowBox[{\"Prefix\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \"]\"}] prints with RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] given in default prefix form: RowBox[{StyleBox[\"f\", \"TI\"], \"@\", StyleBox[\"expr\", \"TI\"]}]. \nRowBox[{\"Prefix\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] prints as StyleBox[\"hexpr\", \"TI\"]. ", + "PreIncrement":"RowBox[{\"++\", StyleBox[\"x\", \"TI\"]}] increases the value of StyleBox[\"x\", \"TI\"] by 1, returning the new value of StyleBox[\"x\", \"TI\"]. ", + "Prepend":"RowBox[{\"Prepend\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with StyleBox[\"elem\", \"TI\"] prepended. \nRowBox[{\"Prepend\", \"[\", StyleBox[\"elem\", \"TI\"], \"]\"}] represents an operator form of Prepend that can be applied to an expression.", + "PrependTo":"RowBox[{\"PrependTo\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] prepends StyleBox[\"elem\", \"TI\"] to the value of StyleBox[\"s\", \"TI\"], and resets StyleBox[\"s\", \"TI\"] to the result. ", + "PreprocessingRules":"PreprocessingRules is an option that specifies how the input should be preprocessed.", + "PreserveColor":"PreserveColor is an option for ImageRestyle and related functions that specifies whether to preserve colors in the original image.", + "PreserveImageOptions":"PreserveImageOptions is an option to graphics and related functions that specifies whether image size and certain other options should be preserved from the previous version of a graphic if the graphic is replaced by a new one in output.", + "PreviousCell":"RowBox[{\"PreviousCell\", \"[\", \"]\"}] returns the CellObject corresponding to the cell directly above the currently evaluating cell.\nRowBox[{\"PreviousCell\", \"[\", StyleBox[\"cellobj\", \"TI\"], \"]\"}] starts looking from the given cell.", + "PreviousDate":"RowBox[{\"PreviousDate\", \"[\", StyleBox[\"gran\", \"TI\"], \"]\"}] gives the previously occurring date of the specified granularity type StyleBox[\"gran\", \"TI\"].\nRowBox[{\"PreviousDate\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the previous date of the given granularity relative to the specified date.", + "PriceGraphDistribution":"RowBox[{\"PriceGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] represents a de Solla Price graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs where a new vertex with StyleBox[\"k\", \"TI\"] edges is added at each step, using attractiveness parameter StyleBox[\"a\", \"TI\"].", + "Prime":"RowBox[{\"Prime\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]RowBox[{SuperscriptBox[\"\", \"th\"], \" \"}]prime number. ", + "PrimeNu":"RowBox[{\"PrimeNu\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of distinct primes RowBox[{\"ν\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}] in StyleBox[\"n\", \"TI\"].", + "PrimeOmega":"RowBox[{\"PrimeOmega\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of prime factors counting multiplicities RowBox[{\"Ω\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}] in StyleBox[\"n\", \"TI\"].", + "PrimePi":"RowBox[{\"PrimePi\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the number of primes RowBox[{StyleBox[\"π\", \"TR\"], RowBox[{\"(\", StyleBox[\"x\", \"TI\"], \")\"}]}] less than or equal to StyleBox[\"x\", \"TI\"]. ", + "PrimePowerQ":"RowBox[{\"PrimePowerQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a power of a prime number, and yields False otherwise. ", + "PrimeQ":"RowBox[{\"PrimeQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a prime number, and yields False otherwise. ", + "Primes":"Primes represents the domain of prime numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", \"Primes\"}]. ", + "PrimeZetaP":"RowBox[{\"PrimeZetaP\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives prime zeta function RowBox[{\"P\", \"(\", \"s\", \")\"}].", + "PrimitivePolynomialQ":"RowBox[{\"PrimitivePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is a primitive polynomial modulo a prime StyleBox[\"p\", \"TI\"].", + "PrimitiveRoot":"RowBox[{\"PrimitiveRoot\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a primitive root of StyleBox[\"n\", \"TI\"].\nRowBox[{\"PrimitiveRoot\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the smallest primitive root of StyleBox[\"n\", \"TI\"] greater than or equal to StyleBox[\"k\", \"TI\"].", + "PrimitiveRootList":"RowBox[{\"PrimitiveRootList\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of primitive roots of StyleBox[\"n\", \"TI\"].", + "PrincipalComponents":"RowBox[{\"PrincipalComponents\", \"[\", StyleBox[\"matrix\", \"TI\"], \"]\"}] transforms elements of StyleBox[\"matrix\", \"TI\"] into unscaled principal components.", + "PrincipalValue":"PrincipalValue is an option for Integrate that specifies whether the Cauchy principal value should be found for a definite integral. ", + "Print":"RowBox[{\"Print\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints StyleBox[\"expr\", \"TI\"] as output. ", + "PrintableASCIIQ":"RowBox[{\"PrintableASCIIQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if the string contains only printable ASCII characters, and yields False otherwise. ", + "PrintAction":"PrintAction is an option for notebooks that specifies the action taken when a RowBox[{\"Print\", \"[\", \"]\"}] command is evaluated by the kernel.", + "PrintingCopies":"PrintingCopies is an option for notebooks that specifies the number of copies of a notebook printed when a print command is given.", + "PrintingOptions":"PrintingOptions is an option that specifies settings for printing.", + "PrintingPageRange":"PrintingPageRange is an option for notebooks that specifies the range of pages of a notebook to be printed.", + "PrintingStartingPageNumber":"PrintingStartingPageNumber is an option for notebooks that specifies what number to assign to the first page of a notebook when printed.", + "PrintingStyleEnvironment":"PrintingStyleEnvironment is an option for notebooks that specifies the style environment to be used in printing the notebook on paper. ", + "Printout3D":"RowBox[{\"Printout3D\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] prints out the 3D StyleBox[\"model\", \"TI\"] using a 3D print previewer.\nRowBox[{\"Printout3D\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"service\", \"TI\"]}], \"]\"}] prints out the 3D StyleBox[\"model\", \"TI\"] using the specified 3D printing StyleBox[\"service\", \"TI\"].\nRowBox[{\"Printout3D\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).\\!\\(\\*StyleBox[\\\"ext\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True]}], \"]\"}] saves a print-ready form of the model to a file in the format indicated by the file extension StyleBox[\"ext\", \"TI\"].", + "Printout3DPreviewer":"Printout3DPreviewer is an option for Printout3D that specifies a previewer for generating outputs to print.", + "PrintPrecision":"PrintPrecision is an option for selections that specifies the maximum number of digits used for displaying a machine-precision number.", + "PrintTemporary":"RowBox[{\"PrintTemporary\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints StyleBox[\"expr\", \"TI\"] as a temporary cell in a notebook, removing it when the evaluation of the current input line is complete.", + "Prism":"RowBox[{\"Prism\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"6\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled prism connecting the triangles RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"5\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"6\", \"TR\"]]}], \"}\"}].", + "PrivateCellOptions":"PrivateCellOptions is an option for cells that specifies various low-level cell settings.", + "PrivateEvaluationOptions":"PrivateEvaluationOptions is an option for selections that specifies settings for evaluation-related suboptions.", + "PrivateFontOptions":"PrivateFontOptions is an option for selections that specifies settings for various font suboptions.", + "PrivateKey":"RowBox[{\"PrivateKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents the private part of a key pair for a public-key cryptographic system.", + "PrivateNotebookOptions":"PrivateNotebookOptions is an option for notebooks that specifies various low-level notebook settings.", + "PrivatePaths":"PrivatePaths is a global option that specifies settings for paths private to the notebook front end.", + "Probability":"RowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the probability for an event that satisfies the predicate StyleBox[\"pred\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"data\", \"TI\"]}]}], \"]\"}] gives the probability for an event that satisfies the predicate StyleBox[\"pred\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution given by StyleBox[\"data\", \"TI\"].\nRowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Probability\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the conditional probability of SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]] given SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "ProbabilityDistribution":"RowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{StyleBox[\"pdf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the continuous distribution with PDF StyleBox[\"pdf\", \"TI\"] in the variable StyleBox[\"x\", \"TI\"] where the StyleBox[\"pdf\", \"TI\"] is taken to be zero for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]]}] and RowBox[{StyleBox[\"x\", \"TI\"], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}].\nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{StyleBox[\"pdf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the discrete distribution with PDF StyleBox[\"pdf\", \"TI\"] in the variable StyleBox[\"x\", \"TI\"] where the StyleBox[\"pdf\", \"TI\"] is taken to be zero for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]]}] and RowBox[{StyleBox[\"x\", \"TI\"], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}].\nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{StyleBox[\"pdf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a multivariate distribution with PDF StyleBox[\"pdf\", \"TI\"] in the variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …, etc. \nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"CDF\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"cdf\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a probability distribution with CDF given by StyleBox[\"cdf\", \"TI\"]. \nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"SF\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"sf\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a probability distribution with survival function given by StyleBox[\"sf\", \"TI\"]. \nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"HF\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"hf\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a probability distribution with hazard function given by StyleBox[\"hf\", \"TI\"]. ", + "ProbabilityPlot":"RowBox[{\"ProbabilityPlot\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] generates a plot of the CDF of StyleBox[\"list\", \"TI\"] against the CDF of a normal distribution.\nRowBox[{\"ProbabilityPlot\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] generates a plot of the CDF of the distribution StyleBox[\"dist\", \"TI\"] against the CDF of a normal distribution.\nRowBox[{\"ProbabilityPlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdata\", \"TI\"]}], \"]\"}] generates a plot of the CDF of StyleBox[\"data\", \"TI\"] against the CDF of StyleBox[\"rdata\", \"TI\"].\nRowBox[{\"ProbabilityPlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdist\", \"TI\"]}], \"]\"}] generates a plot of the CDF of StyleBox[\"data\", \"TI\"] against the CDF of symbolic distribution StyleBox[\"rdist\", \"TI\"].\nRowBox[{\"ProbabilityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] generates a plot of the CDF of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] against the CDF of a reference distribution StyleBox[\"ref\", \"TI\"].", + "ProbabilityScalePlot":"RowBox[{\"ProbabilityScalePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a normal probability plot of the samples SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ProbabilityScalePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dist\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a probability plot scaled for the distribution \"\nStyleBox[\"dist\", \"TI\"]\".\nRowBox[{\"ProbabilityScalePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dist\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates several scaled probability plots for SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "ProbitModelFit":"RowBox[{\"ProbitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a binomial probit regression model of the form RowBox[{FractionBox[\"1\", \"2\"], \" \", RowBox[{\"(\", RowBox[{\"1\", \"+\", RowBox[{\"erf\", \"(\", RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"⋯\"}], \")\"}], \"\/\", SqrtBox[\"2\"]}], \")\"}]}], \")\"}]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, ….\nRowBox[{\"ProbitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a binomial probit regression model of the form RowBox[{FractionBox[\"1\", \"2\"], \" \", RowBox[{\"(\", RowBox[{\"1\", \"+\", RowBox[{\"erf\", \"(\", RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"⋯\"}], \")\"}], \"\/\", SqrtBox[\"2\"]}], \")\"}]}], \")\"}]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"ProbitModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a binomial probit regression model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", + "ProcessConnection":"RowBox[{\"ProcessConnection\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"stream\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the stream object for a given stream.", + "ProcessDirectory":"ProcessDirectory is an option specifying the initial working directory to use when executing a process in functions like StartProcess and RunProcess.", + "ProcessEnvironment":"ProcessEnvironment is an option specifying the initial settings of environment variables to use when executing a process in functions like StartProcess and RunProcess.", + "Processes":"RowBox[{\"Processes\", \"[\", \"]\"}] returns a list of currently running external processes started in this Wolfram Language session.", + "ProcessEstimator":"ProcessEstimator is an option to EstimatedProcess and FindProcessParameters that specifies what process parameter estimator to use. ", + "ProcessInformation":"RowBox[{\"ProcessInformation\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] gives information about an external process StyleBox[\"proc\", \"TI\"].\nRowBox[{\"ProcessInformation\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives information about the property \"StyleBox[\"prop\", \"TI\"]\". ", + "ProcessObject":"RowBox[{\"ProcessObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] is an object that represents a runnable external process. \nRowBox[{\"ProcessObject\", \"[\", StyleBox[\"pid\", \"TI\"], \"]\"}] represents the running external process with PID StyleBox[\"pid\", \"TI\"] on your computer system.", + "ProcessParameterAssumptions":"RowBox[{\"ProcessParameterAssumptions\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] gives a logical expression for assumptions on parameters in the random process StyleBox[\"proc\", \"TI\"].", + "ProcessParameterQ":"RowBox[{\"ProcessParameterQ\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] yields True if StyleBox[\"proc\", \"TI\"] is a valid random process, and yields False otherwise.", + "ProcessStatus":"RowBox[{\"ProcessStatus\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] gives the current status of the external process represented by the ProcessObject StyleBox[\"proc\", \"TI\"].\nRowBox[{\"ProcessStatus\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"status\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns True if the process has the status given and returns False otherwise.", + "Product":"RowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates the product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", \"TI\"]]], \"f\"}]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates the multiple product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", \"TI\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", \"TI\"]]], RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", \"TI\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", \"TI\"]]], RowBox[{\"…\", \" \", \"f\"}]}]}]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the indefinite product RowBox[{UnderscriptBox[\"∏\", \"i\"], \"f\"}].", + "ProductDistribution":"RowBox[{\"ProductDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the joint distribution with independent component distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "ProductLog":"RowBox[{\"ProductLog\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the principal solution for StyleBox[\"w\", \"TI\"] in RowBox[{\"z\", \"\", RowBox[{\"w\", \"\", SuperscriptBox[\"e\", \"w\"]}]}]. \nRowBox[{\"ProductLog\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] solution. ", + "ProgressIndicator":"RowBox[{\"ProgressIndicator\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a progress indicator with setting StyleBox[\"x\", \"TI\"] in the range 0 to 1. \nRowBox[{\"ProgressIndicator\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"ProgressIndicator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a progress indicator with range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"ProgressIndicator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \"Indeterminate\"}], \"]\"}] represents a progress indicator with indeterminate range. ", + "ProgressIndicatorBoxOptions":"RowBox[{ProgressIndicatorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ProgressIndicatorBox objects.", + "Projection":"RowBox[{\"Projection\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] finds the projection of the vector StyleBox[\"u\", \"TI\"] onto the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"Projection\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] finds projections with respect to the inner product function StyleBox[\"f\", \"TI\"].", + "Prolog":"Prolog is an option for graphics functions which gives a list of graphics primitives to be rendered before the main part of the graphics is rendered. ", + "PromptForm":"RowBox[{\"PromptForm\", \"[\", RowBox[{StyleBox[\"prompt\", \"TI\"], \",\", \" \", StyleBox[\"expr\", \"TI\"]}], \"]\"}] prints as an output prompt and expression.", + "ProofObject":"RowBox[{\"ProofObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a proof object generated by FindEquationalProof.", + "Properties":"Properties is an option that allows specification of properties to objects and items of objects.", + "Property":"RowBox[{\"Property\", \"[\", RowBox[{StyleBox[\"item\", \"TI\"], \",\", RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] associates the property RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}] with StyleBox[\"item\", \"TI\"].", + "PropertyList":"RowBox[{\"PropertyList\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \"]\"}] lists the properties available for StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].", + "PropertyValue":"RowBox[{\"PropertyValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"item\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the property value associated with StyleBox[\"name\", \"TI\"] for StyleBox[\"item\", \"TI\"] in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"PropertyValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the property values associated with StyleBox[\"name\", \"TI\"] for items indicated by StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"PropertyValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of property values associated with SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc.", + "Proportion":"RowBox[{\"Proportion\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∷\", StyleBox[\"y\", \"TI\"], \"∷\", \"…\"}].", + "Proportional":"RowBox[{\"Proportional\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∝\", StyleBox[\"y\", \"TI\"], \"∝\", \"…\"}].", + "Protect":"RowBox[{\"Protect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets the attribute Protected for the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Protect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] protects all symbols whose names match any of the string patterns SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Protected":"Protected is an attribute that prevents any values associated with a symbol from being modified. ", + "ProteinData":"RowBox[{\"ProteinData\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the reference amino acid sequence for the protein StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ProteinData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the protein StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ProteinData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Pruning":"RowBox[{\"Pruning\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] removes the outermost branches of thin objects in StyleBox[\"image\", \"TI\"] by setting their values to black.\nRowBox[{\"Pruning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] removes branches that are at most StyleBox[\"n\", \"TI\"] pixels long.\nRowBox[{\"Pruning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] removes StyleBox[\"n\", \"TI\"] pixels from each branch.\nRowBox[{\"Pruning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "PseudoInverse":"RowBox[{\"PseudoInverse\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] finds the pseudoinverse of a rectangular matrix. ", + "PsychrometricPropertyData":"RowBox[{\"PsychrometricPropertyData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the psychrometric properties of moist air for the specified parameters.\nRowBox[{\"PsychrometricPropertyData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the specified property for the given parameters.", + "PublicKey":"RowBox[{\"PublicKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents the public part of a key pair for a public-key cryptographic system.", + "PublisherID":"PublisherID is an option for ResourceSubmit that specifies the ID used to submit a resource for publication in the resource system.", + "PulsarData":"RowBox[{\"PulsarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the pulsar StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PulsarData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified pulsar entities.\nRowBox[{\"PulsarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "PunctuationCharacter":"PunctuationCharacter represents a punctuation character in StringExpression.", + "Purple":"Purple represents the color purple in graphics or style specifications. ", + "Put":"RowBox[{StyleBox[\"expr\", \"TI\"], \">>\", StyleBox[\"filename\", \"TI\"]}] writes StyleBox[\"expr\", \"TI\"] to a file. \nRowBox[{\"Put\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes a sequence of expressions SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a file. \nRowBox[{\"Put\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates an empty file with the specified name.", + "PutAppend":"RowBox[{StyleBox[\"expr\", \"TI\"], \">>>\", StyleBox[\"filename\", \"TI\"]}] appends StyleBox[\"expr\", \"TI\"] to a file. \nRowBox[{\"PutAppend\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] appends a sequence of expressions SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a file. ", + "Pyramid":"RowBox[{\"Pyramid\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"5\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled pyramid with base RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]]}], \"}\"}] and top SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"5\", \"TR\"]].", + "QBinomial":"RowBox[{\"QBinomial\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-binomial coefficient SubscriptBox[RowBox[{\"(\", GridBox[{{TagBox[StyleBox[\"n\", \"TI\"], Identity, Editable -> True, Selectable -> True]}, {TagBox[StyleBox[\"m\", \"TI\"], Identity, Editable -> True, Selectable -> True]}}], \")\"}], StyleBox[\"q\", \"TI\"]].", + "QFactorial":"RowBox[{\"QFactorial\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-factorial RowBox[{SubscriptBox[RowBox[{\"[\", StyleBox[\"n\", \"TI\"], \"]\"}], StyleBox[\"q\", \"TI\"]], \"!\"}].", + "QGamma":"RowBox[{\"QGamma\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-gamma function RowBox[{SubscriptBox[\"Γ\", StyleBox[\"q\", \"TI\"]], \" \", RowBox[{\"(\", StyleBox[\"z\", \"TI\"], \")\"}]}].", + "QHypergeometricPFQ":"RowBox[{\"QHypergeometricPFQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"s\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the basic hypergeometric series RowBox[{SubscriptBox[\"\", StyleBox[\"r\", \"TI\"]], \"\", SubscriptBox[\"ϕ\", StyleBox[\"s\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}].", + "QnDispersion":"RowBox[{\"QnDispersion\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"QnDispersion\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic with a scaling factor StyleBox[\"c\", \"TI\"].", + "QPochhammer":"RowBox[{\"QPochhammer\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-Pochhammer symbol SubscriptBox[RowBox[{RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"]}], \")\"}], \" \"}], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"QPochhammer\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-Pochhammer symbol SubscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"]}], \")\"}], \"∞\"].\nRowBox[{\"QPochhammer\", \"[\", StyleBox[\"q\", \"TI\"], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-Pochhammer symbol SubscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"q\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"]}], \")\"}], \"∞\"].", + "QPolyGamma":"RowBox[{\"QPolyGamma\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the q-digamma function RowBox[{SubscriptBox[\"ψ\", \"q\"], \"(\", \"z\", \")\"}].\nRowBox[{\"QPolyGamma\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the nSuperscriptBox[\"\", \"th\"] derivative of the q-digamma function RowBox[{SubsuperscriptBox[\"ψ\", \"q\", RowBox[{\"(\", \"n\", \")\"}]], \"(\", \"z\", \")\"}].", + "QRDecomposition":"RowBox[{\"QRDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] yields the QR decomposition for a numerical matrix StyleBox[\"m\", \"TI\"]. The result is a list RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}], where StyleBox[\"q\", \"TI\"] is a unitary matrix and StyleBox[\"r\", \"TI\"] is an upper‐triangular matrix. ", + "QuadraticIrrationalQ":"RowBox[{\"QuadraticIrrationalQ\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a quadratic irrational and False otherwise.", + "Quantile":"RowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"q\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] quantile of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of quantiles SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the quantile definition specified by parameters StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"], StyleBox[\"c\", \"TI\"], StyleBox[\"d\", \"TI\"]. \nRowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives a quantile of the distribution StyleBox[\"dist\", \"TI\"].", + "QuantilePlot":"RowBox[{\"QuantilePlot\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] generates a plot of quantiles of StyleBox[\"list\", \"TI\"] against the quantiles of a normal distribution.\nRowBox[{\"QuantilePlot\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] generates a plot of quantiles of the distribution StyleBox[\"dist\", \"TI\"] against the quantiles of a normal distribution.\nRowBox[{\"QuantilePlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdata\", \"TI\"]}], \"]\"}] generates a plot of the quantiles of StyleBox[\"data\", \"TI\"] against the quantiles of StyleBox[\"rdata\", \"TI\"].\nRowBox[{\"QuantilePlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdist\", \"TI\"]}], \"]\"}] generates a plot of the quantiles of StyleBox[\"data\", \"TI\"] against the quantiles of a symbolic distribution StyleBox[\"rdist\", \"TI\"].\nRowBox[{\"QuantilePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] generates a plot of quantiles of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] against the quantiles of a reference distribution StyleBox[\"ref\", \"TI\"].", + "Quantity":"RowBox[{\"Quantity\", \"[\", RowBox[{StyleBox[\"magnitude\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] represents a quantity with size StyleBox[\"magnitude\", \"TI\"] and unit specified by StyleBox[\"unit\", \"TI\"].\nRowBox[{\"Quantity\", \"[\", StyleBox[\"unit\", \"TI\"], \"]\"}] assumes the StyleBox[\"magnitude\", \"TI\"] of the specified StyleBox[\"unit\", \"TI\"] to be 1.", + "QuantityArray":"RowBox[{\"QuantityArray\", \"[\", RowBox[{StyleBox[\"mags\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] represents an array of quantities with magnitudes StyleBox[\"mags\", \"TI\"] and common StyleBox[\"unit\", \"TI\"].\nRowBox[{\"QuantityArray\", \"[\", RowBox[{StyleBox[\"mags\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an array of lists of quantities with units RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"QuantityArray\", \"[\", StyleBox[\"quants\", \"TI\"], \"]\"}] converts an array of Quantity objects into a single QuantityArray object.", + "QuantityDistribution":"RowBox[{\"QuantityDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] represents a distribution StyleBox[\"dist\", \"TI\"] of quantities with unit specified by StyleBox[\"unit\", \"TI\"].\nRowBox[{\"QuantityDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a multivariate distribution with units RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "QuantityForm":"RowBox[{\"QuantityForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] prints StyleBox[\"expr\", \"TI\"] with all Quantity expressions using the specified unit display form StyleBox[\"form\", \"TI\"].\nRowBox[{\"QuantityForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"forms\", \"TI\"], \"}\"}]}], \"]\"}] prints StyleBox[\"expr\", \"TI\"] using the appropriate combination of the specified unit display forms StyleBox[\"forms\", \"TI\"].", + "QuantityMagnitude":"RowBox[{\"QuantityMagnitude\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] gives the amount of the specified StyleBox[\"quantity\", \"TI\"].\nRowBox[{\"QuantityMagnitude\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] gives the value corresponding to StyleBox[\"quantity\", \"TI\"] when converted to StyleBox[\"unit\", \"TI\"].", + "QuantityQ":"RowBox[{\"QuantityQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a Quantity with valid arguments, and False otherwise.", + "QuantityThread":"RowBox[{\"QuantityThread\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] threads the unit of StyleBox[\"quantity\", \"TI\"] through all levels of its magnitude.\nRowBox[{\"QuantityThread\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] threads the unit to depth StyleBox[\"n\", \"TI\"].", + "QuantityUnit":"RowBox[{\"QuantityUnit\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] returns the unit associated with the specified StyleBox[\"quantity\", \"TI\"].", + "QuantityVariable":"RowBox[{\"QuantityVariable\", \"[\", RowBox[{StyleBox[\"var\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a variable with the label StyleBox[\"var\", \"TI\"] and the corresponding physical quantity \"StyleBox[\"pq\", \"TI\"]\".\nRowBox[{\"QuantityVariable\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the unlabeled physical quantity \"StyleBox[\"pq\", \"TI\"]\".", + "QuantityVariableCanonicalUnit":"RowBox[{\"QuantityVariableCanonicalUnit\", \"[\", StyleBox[\"quantityvariable\", \"TI\"], \"]\"}] returns the canonical unit associated with the specified StyleBox[\"quantityvariable\", \"TI\"].", + "QuantityVariableDimensions":"RowBox[{\"QuantityVariableDimensions\", \"[\", StyleBox[\"quantityvariable\", \"TI\"], \"]\"}] returns a list of base dimensions associated with the specified StyleBox[\"quantityvariable\", \"TI\"].", + "QuantityVariableIdentifier":"RowBox[{\"QuantityVariableIdentifier\", \"[\", StyleBox[\"quantityvariable\", \"TI\"], \"]\"}] returns the identifier associated with the specified StyleBox[\"quantityvariable\", \"TI\"].", + "QuantityVariablePhysicalQuantity":"RowBox[{\"QuantityVariablePhysicalQuantity\", \"[\", StyleBox[\"var\", \"TI\"], \"]\"}] returns the physical quantity associated with the quantity variable StyleBox[\"var\", \"TI\"].", + "Quartics":"Quartics is an option for functions that involve solving algebraic equations that specifies whether explicit forms for solutions to quartic equations should be given.", + "QuartileDeviation":"RowBox[{\"QuartileDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the quartile deviation or semi-interquartile range of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"QuartileDeviation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the quartile deviation or semi-interquartile range of the distribution StyleBox[\"dist\", \"TI\"].", + "Quartiles":"RowBox[{\"Quartiles\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the 1\/4, 1\/2 and 3\/4 quantiles of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Quartiles\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives a list of the 1\/4, 1\/2 and 3\/4 quantiles of the distribution StyleBox[\"dist\", \"TI\"].", + "QuartileSkewness":"RowBox[{\"QuartileSkewness\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the coefficient of quartile skewness for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"QuartileSkewness\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the coefficient of quartile skewness for the distribution StyleBox[\"dist\", \"TI\"].", + "Query":"RowBox[{\"Query\", \"[\", RowBox[{SubscriptBox[StyleBox[\"operator\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"operator\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a query that can be applied to a Dataset object, in which the successive SubscriptBox[StyleBox[\"operator\", \"TI\"], StyleBox[\"i\", \"TI\"]] are applied at successively deeper levels. ", + "QueueingNetworkProcess":"RowBox[{\"QueueingNetworkProcess\", \"[\", RowBox[{StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents an open (Jackson) queueing network process with arrival vector StyleBox[\"γ\", \"TR\"], routing probability matrix StyleBox[\"r\", \"TI\"], service vector StyleBox[\"μ\", \"TR\"], and service channel vector StyleBox[\"c\", \"TI\"]. \nRowBox[{\"QueueingNetworkProcess\", \"[\", RowBox[{StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a closed (Gordon–Newell) queueing network process with StyleBox[\"k\", \"TI\"] jobs in the system.", + "QueueingProcess":"RowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents an M\/M\/1 queue with arrival rate StyleBox[\"λ\", \"TR\"] and service rate StyleBox[\"μ\", \"TR\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"sdist\", \"TI\"]}], \"]\"}] represents an M\/G\/1 queue with arrival rate StyleBox[\"λ\", \"TR\"] and service distribution StyleBox[\"sdist\", \"TI\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"adist\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a G\/M\/1 queue with arrival distribution StyleBox[\"adist\", \"TI\"] and service rate StyleBox[\"μ\", \"TR\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"adist\", \"TI\"], \",\", StyleBox[\"sdist\", \"TI\"]}], \"]\"}] represents a G\/G\/1 queue with arrival distribution StyleBox[\"adist\", \"TI\"] and service distribution StyleBox[\"sdist\", \"TI\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a queueing process with StyleBox[\"c\", \"TI\"] service channels.\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a queueing process with system capacity StyleBox[\"k\", \"TI\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a queueing process with initial state SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", + "QueueProperties":"RowBox[{\"QueueProperties\", \"[\", StyleBox[\"qproc\", \"TI\"], \"]\"}] gives a summary of properties for the queueing process StyleBox[\"qproc\", \"TI\"].\nRowBox[{\"QueueProperties\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"qproc\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] gives a summary of properties for the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] node in the queueing network process StyleBox[\"qproc\", \"TI\"].\nRowBox[{\"QueueProperties\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives a summary of properties for queueing simulation data. \nRowBox[{\"QueueProperties\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified \"StyleBox[\"property\", \"TI\"]\".", + "Quiet":"RowBox[{\"Quiet\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] \"quietly\", without actually outputting any messages generated.\nRowBox[{\"Quiet\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] quietens only the specified messages during the evaluation of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Quiet\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] quietens only the named group of messages.", + "Quit":"RowBox[{\"Quit\", \"[\", \"]\"}] terminates a StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel session. ", + "Quotient":"RowBox[{\"Quotient\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the integer quotient of StyleBox[\"m\", \"TI\"] and StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Quotient\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses an offset StyleBox[\"d\", \"TI\"]. ", + "QuotientRemainder":"RowBox[{\"QuotientRemainder\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the quotient and remainder from division of StyleBox[\"m\", \"TI\"] by StyleBox[\"n\", \"TI\"].", + "RadialGradientImage":"RowBox[{\"RadialGradientImage\", \"[\", StyleBox[\"gcol\", \"TI\"], \"]\"}] returns an image with values radially changing from center to corners based on gradient color StyleBox[\"gcol\", \"TI\"].\nRowBox[{\"RadialGradientImage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"gcol\", \"TI\"]}], \"]\"}] returns an image where the gradient starts at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]] and ends at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"RadialGradientImage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] returns a radial gradient image of the specified StyleBox[\"size\", \"TI\"].", + "RadialityCentrality":"RowBox[{\"RadialityCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of radiality centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"RadialityCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of in-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"RadialityCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of out-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"RadialityCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "RadicalBox":"RowBox[{RadicalBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is a low-level box construct that represents the displayed object RadicalBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]] in notebook expressions. ", + "RadicalBoxOptions":"RadicalBoxOptions is an option for selections that specifies settings for RadicalBox objects.", + "RadioButton":"RowBox[{\"RadioButton\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] represents a radio button whose setting StyleBox[\"x\", \"TI\"] is set to StyleBox[\"val\", \"TI\"] when the button is clicked. \nRowBox[{\"RadioButton\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] is displayed as RadioButtonBox[0, {0}] when StyleBox[\"x\", \"TI\"] is StyleBox[\"val\", \"TI\"], and as RadioButtonBox[1, {0}] otherwise. \nRowBox[{\"RadioButton\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the button is clicked. ", + "RadioButtonBar":"RowBox[{\"RadioButtonBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a radio button bar with setting StyleBox[\"x\", \"TI\"] and with labeled radio buttons for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RadioButtonBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset every time a radio button is pressed.\nRowBox[{\"RadioButtonBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a radio button bar in which the radio button giving value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] is given label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "RadioButtonBoxOptions":"RowBox[{RadioButtonBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RadioButtonBox objects.", + "Radon":"RowBox[{\"Radon\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives an image representing the discrete Radon transform of StyleBox[\"image\", \"TI\"].\nRowBox[{\"Radon\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies the width StyleBox[\"w\", \"TI\"] and the height StyleBox[\"h\", \"TI\"] of the resulting image.\nRowBox[{\"Radon\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] computes the Radon transform only for angles from SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "RadonTransform":"RowBox[{\"RadonTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Radon transform of StyleBox[\"expr\", \"TI\"].", + "RamanujanTau":"RowBox[{\"RamanujanTau\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Ramanujan τ function RowBox[{\"τ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", + "RamanujanTauL":"RowBox[{\"RamanujanTauL\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Ramanujan tau Dirichlet L-function RowBox[{StyleBox[\"L\", \"TI\"], \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", + "RamanujanTauTheta":"RowBox[{\"RamanujanTauTheta\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Ramanujan tau theta function RowBox[{\"θ\", \"(\", \"t\", \")\"}].", + "RamanujanTauZ":"RowBox[{\"RamanujanTauZ\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Ramanujan tau Z-function RowBox[{StyleBox[\"Z\", \"TI\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}].", + "Ramp":"RowBox[{\"Ramp\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives StyleBox[\"x\", \"TI\"] if RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", \"0\"}] and 0 otherwise.", + "Random":"RowBox[{\"Random\", \"[\", \"]\"}] gives a uniformly distributed pseudorandom Real in the range 0 to 1. \nRowBox[{\"Random\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] gives a pseudorandom number of the specified type, lying in the specified range. Possible types are: Integer, Real and Complex. The default range is 0 to 1. You can give the range RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}] explicitly; a range specification of StyleBox[\"max\", \"TI\"] is equivalent to RowBox[{\"{\", RowBox[{\"0\", \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]. ", + "RandomChoice":"RowBox[{\"RandomChoice\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a pseudorandom choice of one of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom choices. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom choices. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a pseudorandom choice weighted by the SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{RowBox[{StyleBox[\"wlist\", \"TI\"], \"\", StyleBox[\"elist\", \"TI\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] weighted choices.\nRowBox[{\"RandomChoice\", \"[\", RowBox[{RowBox[{StyleBox[\"wlist\", \"TI\"], \"\", StyleBox[\"elist\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of weighted choices.", + "RandomColor":"RowBox[{\"RandomColor\", \"[\", \"]\"}] gives a pseudorandom color directive in the RGBColor space.\nRowBox[{\"RandomColor\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives StyleBox[\"n\", \"TI\"] pseudorandom colors.\nRowBox[{\"RandomColor\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] gives a color from the specified StyleBox[\"model\", \"TI\"].\nRowBox[{\"RandomColor\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives StyleBox[\"n\", \"TI\"] colors.\nRowBox[{\"RandomColor\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an array of colors.", + "RandomComplex":"RowBox[{\"RandomComplex\", \"[\", \"]\"}] gives a pseudorandom complex number with real and imaginary parts in the range 0 to 1.\nRowBox[{\"RandomComplex\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom complex number in the rectangle with corners given by the complex numbers SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomComplex\", \"[\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom complex number in the rectangle whose corners are the origin and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomComplex\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom complex numbers.\nRowBox[{\"RandomComplex\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom complex numbers.", + "RandomEntity":"RowBox[{\"RandomEntity\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] gives a pseudorandom entity with a type determined by the specification StyleBox[\"spec\", \"TI\"].\nRowBox[{\"RandomEntity\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom entities.", + "RandomFunction":"RowBox[{\"RandomFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a pseudorandom function from the process StyleBox[\"proc\", \"TI\"] from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"RandomFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}]}], \"]\"}] generates a pseudorandom function from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps of StyleBox[\"dt\", \"TI\"].\nRowBox[{\"RandomFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", \" \", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates an ensemble of StyleBox[\"n\", \"TI\"] pseudorandom functions. ", + "RandomGraph":"RowBox[{\"RandomGraph\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}], \"]\"}] gives a pseudorandom graph with StyleBox[\"n\", \"TI\"] vertices and StyleBox[\"m\", \"TI\"] edges.\nRowBox[{\"RandomGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"k\", \"TI\"] pseudorandom graphs.\nRowBox[{\"RandomGraph\", \"[\", RowBox[{StyleBox[\"gdist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] samples from the random graph distribution StyleBox[\"gdist\", \"TI\"].", + "RandomImage":"RowBox[{\"RandomImage\", \"[\", StyleBox[\"max\", \"TI\"], \"]\"}] gives an image with pseudorandom pixel values in the range 0 to StyleBox[\"max\", \"TI\"].\nRowBox[{\"RandomImage\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] generates pseudorandom pixel values in the range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"RandomImage\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] generates pixel values using a symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"RandomImage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] generates a random image of the specified StyleBox[\"size\", \"TI\"].", + "RandomInteger":"RowBox[{\"RandomInteger\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom integer in the range RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"RandomInteger\", \"[\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom integer in the range RowBox[{\"{\", RowBox[{\"0\", \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"RandomInteger\", \"[\", \"]\"}] pseudorandomly gives 0 or 1. \nRowBox[{\"RandomInteger\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom integers. \nRowBox[{\"RandomInteger\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom integers. ", + "RandomPermutation":"RowBox[{\"RandomPermutation\", \"[\", StyleBox[\"gr\", \"TI\"], \"]\"}] gives a pseudorandom permutation in the permutation group StyleBox[\"gr\", \"TI\"].\nRowBox[{\"RandomPermutation\", \"[\", RowBox[{StyleBox[\"gr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom permutations in the permutation group StyleBox[\"gr\", \"TI\"].", + "RandomPoint":"RowBox[{\"RandomPoint\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a pseudorandom point uniformly distributed in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RandomPoint\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom points uniformly distributed in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RandomPoint\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an RowBox[{StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \"×\", StyleBox[\" \", \"TI\"], StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \"×\", StyleBox[\"…\", \"TR\"]}] array of pseudorandom points.\nRowBox[{\"RandomPoint\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}], \"×\", \"⋯\"}].", + "RandomPrime":"RowBox[{\"RandomPrime\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom prime number in the range SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomPrime\", \"[\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom prime number in the range 2 to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomPrime\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom primes.", + "RandomReal":"RowBox[{\"RandomReal\", \"[\", \"]\"}] gives a pseudorandom real number in the range 0 to 1. \nRowBox[{\"RandomReal\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom real number in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"RandomReal\", \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom real number in the range 0 to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomReal\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom reals. \nRowBox[{\"RandomReal\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom reals. ", + "RandomSample":"RowBox[{\"RandomSample\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a pseudorandom sample of StyleBox[\"n\", \"TI\"] of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RandomSample\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a pseudorandom sample of StyleBox[\"n\", \"TI\"] of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] chosen using weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RandomSample\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a pseudorandom permutation of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "RandomSeeding":"RandomSeeding is an option that specifies what seeding of pseudorandom generators should be done inside the operation of a function.", + "RandomVariate":"RowBox[{\"RandomVariate\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives a pseudorandom variate from the symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"RandomVariate\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom variates from the symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"RandomVariate\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an RowBox[{StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \"×\", StyleBox[\" \", \"TI\"], StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \"×\", StyleBox[\"…\", \"TR\"]}] array of pseudorandom variates from the symbolic distribution StyleBox[\"dist\", \"TI\"].", + "RandomWalkProcess":"RowBox[{\"RandomWalkProcess\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a random walk on a line with the probability of a positive unit step StyleBox[\"p\", \"TI\"] and the probability of a negative unit step RowBox[{\"1\", \"-\", StyleBox[\"p\", \"TI\"]}].\nRowBox[{\"RandomWalkProcess\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a random walk with the probability of a positive unit step StyleBox[\"p\", \"TI\"], the probability of a negative unit step StyleBox[\"q\", \"TI\"], and the probability of a zero step RowBox[{\"1\", \"-\", StyleBox[\"p\", \"TI\"], \"-\", StyleBox[\"q\", \"TI\"]}].", + "RandomWord":"RowBox[{\"RandomWord\", \"[\", \"]\"}] gives a pseudorandom commonly used word.\nRowBox[{\"RandomWord\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] gives a pseudorandom word of the specified StyleBox[\"type\", \"TI\"].\nRowBox[{\"RandomWord\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom words of the specified StyleBox[\"type\", \"TI\"].", + "Range":"RowBox[{\"Range\", \"[\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] generates the list RowBox[{\"{\", RowBox[{\"1\", \",\", \"2\", \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"Range\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}] generates the list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"Range\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"]\"}] uses step StyleBox[\"di\", \"TI\"].", + "RangeFilter":"RowBox[{\"RangeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the difference of the maximum and minimum in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"RangeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "RankedMax":"RowBox[{\"RankedMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] largest element in StyleBox[\"list\", \"TI\"].\nRowBox[{\"RankedMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] smallest element in StyleBox[\"list\", \"TI\"].", + "RankedMin":"RowBox[{\"RankedMin\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] smallest element in StyleBox[\"list\", \"TI\"].\nRowBox[{\"RankedMin\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] largest element in StyleBox[\"list\", \"TI\"].", + "Raster":"RowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a two-dimensional graphics primitive which represents a rectangular array of gray cells. \nRowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of RGB color cells. \nRowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of color cells with opacity SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"ij\", \"TI\"]]. \nRowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of gray cells with the specified opacities. ", + "Raster3D":"RowBox[{\"Raster3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a three-dimensional graphics primitive that represents a cubical array of gray cells. \nRowBox[{\"Raster3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of RGB color cells. \nRowBox[{\"Raster3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of color cells with opacity SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"ij\", \"TI\"]].\nRowBox[{\"Raster3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents a three-dimensional graphics primitive by giving the coordinates of opposite corners.\nRowBox[{\"Raster3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"coordinates\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a three-dimensional graphics primitive whose voxel values should be scaled so that SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"min\", \"TI\"]] corresponds to 0 and SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"max\", \"TI\"]] corresponds to 1.", + "Raster3DBoxOptions":"RowBox[{Raster3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Raster3DBox objects.", + "RasterArray":"RowBox[{\"RasterArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a two-dimensional graphics primitive that represents a rectangular array of cells colored according to the graphics directives SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"ij\", \"TI\"]]. ", + "RasterBoxOptions":"RowBox[{RasterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RasterBox objects.", + "Rasterize":"RowBox[{\"Rasterize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns a rasterized version of the displayed form of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Rasterize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives the element StyleBox[\"elem\", \"TI\"] associated with the rasterized form of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Rasterize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the specified SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "RasterSize":"RasterSize is an option for Rasterize and related functions that determines the absolute pixel size of the raster generated.", + "Rational":"Rational is the head used for rational numbers. ", + "Rationalize":"RowBox[{\"Rationalize\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] converts an approximate number StyleBox[\"x\", \"TI\"] to a nearby rational with small denominator. \nRowBox[{\"Rationalize\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] yields the rational number with smallest denominator that lies within StyleBox[\"dx\", \"TI\"] of StyleBox[\"x\", \"TI\"].", + "Rationals":"Rationals represents the domain of rational numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Rationals\"}]. ", + "Ratios":"RowBox[{\"Ratios\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the successive ratios of elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Ratios\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] iterated ratios of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Ratios\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the successive SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]SuperscriptBox[\"\", \"th\"] ratios at level StyleBox[\"k\", \"TI\"] in a nested list. ", + "RawBoxes":"RowBox[{RawBoxes, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level construct which is formatted as StyleBox[\"boxes\", \"TI\"] without further interpretation. ", + "RawData":"RowBox[{\"RawData\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] is a low-level representation of the contents of a cell in which StyleBox[\"Show Cell Expression\", \"MenuName\"] has been toggled.", + "RawMedium":"RawMedium is an internal symbol.", + "RayleighDistribution":"RowBox[{\"RayleighDistribution\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents the Rayleigh distribution with scale parameter StyleBox[\"σ\", \"TR\"].", + "Re":"RowBox[{\"Re\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the real part of the complex number StyleBox[\"z\", \"TI\"]. ", + "Read":"RowBox[{\"Read\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads one expression from an input stream and returns the expression. \nRowBox[{\"Read\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads one object of the specified type. \nRowBox[{\"Read\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads a sequence of objects of the specified types. ", + "ReadByteArray":"RowBox[{\"ReadByteArray\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] gives the contents of StyleBox[\"src\", \"TI\"] as a ByteArray object.\nRowBox[{\"ReadByteArray\", \"[\", RowBox[{StyleBox[\"src\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads the first StyleBox[\"n\", \"TI\"] bytes from StyleBox[\"src\", \"TI\"].\nRowBox[{\"ReadByteArray\", \"[\", RowBox[{StyleBox[\"src\", \"TI\"], \",\", StyleBox[\"term\", \"TI\"]}], \"]\"}] reads until the termination condition StyleBox[\"term\", \"TI\"] is satisfied.", + "ReadLine":"RowBox[{\"ReadLine\", \"[\", StyleBox[StyleBox[\"\\\"file\\\"\",ShowStringCharacters->True], \"TI\"], \"]\"}] reads a line of text from a file and returns it as a string.\nRowBox[{\"ReadLine\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads a line of text from a stream and returns it as a string.\nRowBox[{\"ReadLine\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] reads a line of text generated by an external process and returns it as a string.", + "ReadList":"RowBox[{\"ReadList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads all the remaining expressions in a file and returns a list of them. \nRowBox[{\"ReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads objects of the specified type from a file, until the end of the file is reached. The list of objects read is returned. \nRowBox[{\"ReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads objects with a sequence of types, until the end of the file is reached. \nRowBox[{\"ReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"types\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads only the first StyleBox[\"n\", \"TI\"] objects of the specified types. ", + "ReadProtected":"ReadProtected is an attribute that prevents values associated with a symbol from being seen. ", + "ReadString":"RowBox[{\"ReadString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads the complete contents of a file and returns it as a string.\nRowBox[{\"ReadString\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads everything from a stream and returns it as a string.\nRowBox[{\"ReadString\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] reads everything generated by an external process and returns it as a string.\nRowBox[{\"ReadString\", \"[\", RowBox[{StyleBox[\"src\", \"TI\"], \",\", StyleBox[\"term\", \"TI\"]}], \"]\"}] reads until the terminator StyleBox[\"term\", \"TI\"] is encountered.", + "Real":"Real is the head used for real (floating‐point) numbers. ", + "RealAbs":"RowBox[{\"RealAbs\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the absolute value of the real number StyleBox[\"x\", \"TI\"]. ", + "RealBlockDiagonalForm":"RealBlockDiagonalForm is an option for SchurDecomposition and related functions which specifies whether 2×2 blocks of real values should be used on matrix diagonals in place of complex values.", + "RealDigits":"RowBox[{\"RealDigits\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a list of the digits in the approximate real number StyleBox[\"x\", \"TI\"], together with the number of digits that are to the left of the decimal point. \nRowBox[{\"RealDigits\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of base‐StyleBox[\"b\", \"TI\"] digits in StyleBox[\"x\", \"TI\"]. \nRowBox[{\"RealDigits\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"len\", \"TI\"] digits. \nRowBox[{\"RealDigits\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives StyleBox[\"len\", \"TI\"] digits starting with the coefficient of SuperscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"n\", \"TI\"]]. ", + "RealExponent":"RowBox[{\"RealExponent\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives RowBox[{SubscriptBox[\"log\", \"10\"], \"(\", RowBox[{\"\", \"x\", \"\"}], \")\"}].\nRowBox[{\"RealExponent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives RowBox[{SubscriptBox[\"log\", \"b\"], \"(\", RowBox[{\"\", \"x\", \"\"}], \")\"}].", + "Reals":"Reals represents the domain of real numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Reals\"}]. ", + "RealSign":"RowBox[{\"RealSign\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives RowBox[{\"-\", \"1\"}], 0 or 1 depending on whether StyleBox[\"x\", \"TI\"] is negative, zero or positive. ", + "Reap":"RowBox[{\"Reap\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] together with all expressions to which Sow has been applied during its evaluation. Expressions sown using RowBox[{\"Sow\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] or RowBox[{\"Sow\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"]\"}] with different tags are given in different lists. \nRowBox[{\"Reap\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] reaps only expressions sown with tags that match StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"Reap\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] puts expressions associated with each of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a separate list. \nRowBox[{\"Reap\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns RowBox[{\"{\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]. ", + "RecognitionPrior":"RecognitionPrior is an option for ImageInstanceQ and related functions that specifies the prior probability to assume for the function to give True.", + "RecognitionThreshold":"RecognitionThreshold is an option for ImageInstanceQ and related functions that specifies the minimum estimated probability at which recognition is considered acceptable. ", + "Record":"Record represents a record in Read, Find, and related functions. ", + "RecordLists":"RecordLists is an option for ReadList that specifies whether objects from separate records should be returned in separate sublists. ", + "RecordSeparators":"RecordSeparators is an option for Read, Find, and related functions that specifies the list of strings to be taken as delimiters for records. ", + "Rectangle":"RowBox[{\"Rectangle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an axis-aligned filled rectangle from RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}] to RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}].\nRowBox[{\"Rectangle\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \"]\"}] corresponds to a unit square with its bottom-left corner at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}].", + "RectangleBoxOptions":"RowBox[{RectangleBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RectangleBox objects.", + "RectangleChart":"RowBox[{\"RectangleChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a rectangle chart with bars of width SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and height SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RectangleChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a rectangle chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"RectangleChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a rectangle chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "RectangleChart3D":"RowBox[{\"RectangleChart3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D rectangle chart with bars of width SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], depth SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], and height SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RectangleChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D rectangle chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"RectangleChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D rectangle chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "RectangularRepeatingElement":"RowBox[{\"RectangularRepeatingElement\", \"[\", StyleBox[\"elem\", \"TI\"], \"]\"}] represents a rectangular array of elements of type StyleBox[\"spec\", \"TI\"] in an interpreter, API or form specification.\nRowBox[{\"RectangularRepeatingElement\", \"[\", RowBox[{StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"maxrows\", \"TI\"], \",\", StyleBox[\"maxcolumns\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a rectangular array of elements of maximum size RowBox[{StyleBox[\"maxrows\", \"TI\"], \"×\", StyleBox[\"maxcolums\", \"TI\"]}].\nRowBox[{\"RectangularRepeatingElement\", \"[\", RowBox[{StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"minrows\", \"TI\"], \",\", StyleBox[\"maxrows\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"mincolumns\", \"TI\"], \",\", StyleBox[\"maxcolumns\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents a rectangular array of elements of dimensions between RowBox[{StyleBox[\"minrows\", \"TI\"], \"×\", StyleBox[\"mincolumns\", \"TI\"]}] and RowBox[{StyleBox[\"maxrows\", \"TI\"], \"×\", StyleBox[\"maxcolums\", \"TI\"]}].", + "RecurrenceFilter":"RowBox[{\"RecurrenceFilter\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] filters StyleBox[\"x\", \"TI\"] using a linear recurrence equation with coefficients StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"tf\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] uses a discrete-time filter defined by the TransferFunctionModel StyleBox[\"tf\", \"TI\"].\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a specified list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] as the initial condition.\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"].\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"sound\", \"TI\"]}], \"]\"}] filters sampled StyleBox[\"sound\", \"TI\"] object.", + "RecurrenceTable":"RowBox[{\"RecurrenceTable\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a list of values of StyleBox[\"expr\", \"TI\"] for successive StyleBox[\"n\", \"TI\"] based on solving the recurrence equations StyleBox[\"eqns\", \"TI\"].\nRowBox[{\"RecurrenceTable\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"]}], \"]\"}] generates a list of values of StyleBox[\"expr\", \"TI\"] over the range of StyleBox[\"n\", \"TI\"] values specified by StyleBox[\"nspec\", \"TI\"].\nRowBox[{\"RecurrenceTable\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates an array of values of StyleBox[\"expr\", \"TI\"] for successive SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", + "Red":"Red represents the color red in graphics or style specifications. ", + "Reduce":"RowBox[{\"Reduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] reduces the statement StyleBox[\"expr\", \"TI\"] by solving equations or inequalities for StyleBox[\"vars\", \"TI\"] and eliminating quantifiers. \nRowBox[{\"Reduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] does the reduction over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Reals, Integers, and Complexes. ", + "ReferenceLineStyle":"ReferenceLineStyle is an option for QuantilePlot and similar functions that specifies the style used for the reference line. ", + "Refine":"RowBox[{\"Refine\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] gives the form of StyleBox[\"expr\", \"TI\"] that would be obtained if symbols in it were replaced by explicit numerical expressions satisfying the assumptions StyleBox[\"assum\", \"TI\"]. \nRowBox[{\"Refine\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] uses default assumptions specified by any enclosing Assuming constructs. ", + "ReflectionMatrix":"RowBox[{\"ReflectionMatrix\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives the matrix that represents reflection of points in a mirror normal to the vector StyleBox[\"v\", \"TI\"].", + "ReflectionTransform":"RowBox[{\"ReflectionTransform\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives a TransformationFunction that represents a reflection in a mirror through the origin, normal to the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"ReflectionTransform\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a reflection in a mirror through the point StyleBox[\"p\", \"TI\"], normal to the vector StyleBox[\"v\", \"TI\"].", + "Refresh":"RowBox[{\"Refresh\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] represents an object whose value in a Dynamic should be refreshed at times specified by the options StyleBox[\"opts\", \"TI\"]. \nRowBox[{\"Refresh\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"None\"}], \"]\"}] specifies that the value of StyleBox[\"expr\", \"TI\"] should never automatically be refreshed. ", + "RefreshRate":"RefreshRate is an option to Animate and related functions which specifies the refresh rate for frames in animations.", + "Region":"RowBox[{\"Region\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] represents a geometric region.\nRowBox[{\"Region\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives a region that uses the specified options.", + "RegionBinarize":"RowBox[{\"RegionBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives a binary version of StyleBox[\"image\", \"TI\"] that includes the foreground pixels of StyleBox[\"marker\", \"TI\"] and also connected regions whose pixel values are within a distance StyleBox[\"d\", \"TI\"].\nRowBox[{\"RegionBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] grows regions in StyleBox[\"marker\", \"TI\"] by adding pixels whose average intensity is also constrained within an interval RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}].", + "RegionBoundary":"RowBox[{\"RegionBoundary\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] represents the boundary of the region StyleBox[\"reg\", \"TI\"].", + "RegionBounds":"RowBox[{\"RegionBounds\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the bounds for the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionBounds\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives region bounds of the specified \"\nStyleBox[\"type\", \"TI\"]\". ", + "RegionCentroid":"RowBox[{\"RegionCentroid\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the centroid of the region StyleBox[\"reg\", \"TI\"].", + "RegionDifference":"RowBox[{\"RegionDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the difference of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "RegionDimension":"RowBox[{\"RegionDimension\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the geometric dimension of the region StyleBox[\"reg\", \"TI\"]. ", + "RegionDisjoint":"RowBox[{\"RegionDisjoint\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]] are disjoint. \nRowBox[{\"RegionDisjoint\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], StyleBox[\"…\", \"TR\"] are pairwise disjoint.", + "RegionDistance":"RowBox[{\"RegionDistance\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the minimum distance from the point StyleBox[\"p\", \"TI\"] to the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionDistance\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a RowBox[{\"RegionDistanceFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different points.", + "RegionDistanceFunction":"RowBox[{RowBox[{\"RegionDistanceFunction\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] represents a function whose values give the distance from a point to the region StyleBox[\"reg\", \"TI\"].", + "RegionEmbeddingDimension":"RowBox[{\"RegionEmbeddingDimension\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the dimension of the space in which the region StyleBox[\"reg\", \"TI\"] is embedded. ", + "RegionEqual":"RowBox[{\"RegionEqual\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"RegionEqual\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], StyleBox[\"…\", \"TR\"] are all equal.", + "RegionFunction":"RegionFunction is an option for plotting functions that specifies the region to include in the plot drawn. ", + "RegionImage":"RowBox[{\"RegionImage\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] returns a rasterized grayscale 2D or 3D image of StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionImage\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], \",\", SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]}], \"]\"}], \"×\", \"⋯\"}].", + "RegionIntersection":"RowBox[{\"RegionIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the intersection of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "RegionMeasure":"RowBox[{\"RegionMeasure\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the measure of the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionMeasure\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"d\", \"TI\"]-dimensional measure of the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionMeasure\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-measure of the parametric formula whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"RegionMeasure\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", + "RegionMember":"RowBox[{\"RegionMember\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives True if the numeric point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is a member of the constant region StyleBox[\"reg\", \"TI\"] and False otherwise.\nRowBox[{\"RegionMember\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives conditions for the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] to be a member of StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionMember\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] returns a RowBox[{\"RegionMemberFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different points. ", + "RegionMemberFunction":"RowBox[{RowBox[{\"RegionMemberFunction\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] represents a function whose values give whether a point is in a region StyleBox[\"reg\", \"TI\"] or not.", + "RegionMoment":"RowBox[{\"RegionMoment\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] computes the polynomial moment RowBox[{SubscriptBox[\"∫\", RowBox[{\"x\", \"∈\", \"reg\"}]], RowBox[{SubsuperscriptBox[\"x\", \"1\", SubscriptBox[\"i\", \"1\"]], \" \", SubsuperscriptBox[\"x\", \"2\", SubscriptBox[\"i\", \"2\"]], \" \", \"⋯\", \" \", SubsuperscriptBox[\"x\", \"n\", SubscriptBox[\"i\", \"n\"]]}]}] for the region StyleBox[\"reg\", \"TI\"].", + "RegionNearest":"RowBox[{\"RegionNearest\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a point in the region StyleBox[\"reg\", \"TI\"] that is nearest the point StyleBox[\"p\", \"TI\"]. \nRowBox[{\"RegionNearest\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a RowBox[{\"RegionNearestFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be repeatedly applied to points. ", + "RegionNearestFunction":"RowBox[{RowBox[{\"RegionNearestFunction\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] represents a function whose values give the nearest point in the region StyleBox[\"reg\", \"TI\"].", + "RegionPlot":"RowBox[{\"RegionPlot\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a plot showing the region in which StyleBox[\"pred\", \"TI\"] is True. ", + "RegionPlot3D":"RowBox[{\"RegionPlot3D\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a plot showing the three-dimensional region in which StyleBox[\"pred\", \"TI\"] is True. ", + "RegionProduct":"RowBox[{\"RegionProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] represents the Cartesian product of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"RegionProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the Cartesian product of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "RegionQ":"RowBox[{\"RegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if StyleBox[\"reg\", \"TI\"] is a valid region and False otherwise. ", + "RegionResize":"RowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] resize the region StyleBox[\"reg\", \"TI\"] to have the first side length StyleBox[\"l\", \"TI\"] preserving side length ratios. \nRowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"}\"}]}], \"]\"}] resize into a box with maximum side length SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"max\", \"TI\"]] preserving side length ratios.\nRowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resize into a box with side lengths SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"min\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"max\"}], \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"min\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"max\"}], \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resize into a box with corners RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"min\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"min\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"max\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"max\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "RegionSize":"RegionSize is an option used by Printout3D to specify the overall size of an object to print for a region.", + "RegionSymmetricDifference":"RowBox[{\"RegionSymmetricDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the symmetric difference of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", + "RegionUnion":"RowBox[{\"RegionUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the union of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "RegionWithin":"RowBox[{\"RegionWithin\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]] is contained within SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]].", + "RegisterExternalEvaluator":"RowBox[{\"RegisterExternalEvaluator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"exec\", \"TI\"]}], \"]\"}] registers the executable StyleBox[\"exec\", \"TI\"] for use as an external evaluator with the language or system StyleBox[\"sys\", \"TI\"].", + "RegularExpression":"RowBox[{\"RegularExpression\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"regex\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the generalized regular expression specified by the string \"\nStyleBox[\"regex\", \"TI\"]\". ", + "Regularization":"Regularization is an option for Sum and Product that specifies what type of regularization to use.", + "RegularlySampledQ":"RowBox[{\"RegularlySampledQ\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] gives True if StyleBox[\"tseries\", \"TI\"] is a regular time series, and False otherwise.", + "RegularPolygon":"RowBox[{\"RegularPolygon\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the regular polygon with StyleBox[\"n\", \"TI\"] vertices equally spaced around the unit circle.\nRowBox[{\"RegularPolygon\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the regular polygon of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"RegularPolygon\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] starts at angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] with respect to the x axis.\nRowBox[{\"RegularPolygon\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"rspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] centers the polygon at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].", + "ReIm":"RowBox[{\"ReIm\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{\"Re\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}], \",\", RowBox[{\"Im\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \"}\"}] of the number StyleBox[\"z\", \"TI\"].", + "Reinstall":"RowBox[{\"Reinstall\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] un-installs the specified external package and installs it again.", + "RelationGraph":"RowBox[{\"RelationGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]] whenever RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"]\"}] is True.\nRowBox[{\"RelationGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the graph with vertices RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] and edges from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]] whenever RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"]\"}] is True.", + "ReleaseHold":"RowBox[{\"ReleaseHold\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] removes Hold, HoldForm, HoldPattern, and HoldComplete in StyleBox[\"expr\", \"TI\"]. ", + "ReliabilityDistribution":"RowBox[{\"ReliabilityDistribution\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the reliability distribution for a system with components SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] having reliability distribution SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]], where the whole system is working when the Boolean expression StyleBox[\"bexpr\", \"TI\"] is True, and component SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is working when SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is True.", + "ReliefImage":"RowBox[{\"ReliefImage\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a relief image of an array of height values. ", + "ReliefPlot":"RowBox[{\"ReliefPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a relief plot of an array of height values. ", + "RemoteAuthorizationCaching":"RemoteAuthorizationCaching is an option for RemoteConnect and related functions that determines whether caching of authorization information on remote hosts should be used.", + "RemoteConnect":"RowBox[{\"RemoteConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] connects to the specified remote host.\nRowBox[{\"RemoteConnect\", \"[\", RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] connects to the machine with the specified IP address.\nRowBox[{\"RemoteConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"username\", \"TI\"]}], \"]\"}] connects using the specified username for the remote host.\nRowBox[{\"RemoteConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"username\", \"TI\"], \",\", StyleBox[\"password\", \"TI\"]}], \"]\"}] connects using the specified username and password.", + "RemoteConnectionObject":"RowBox[{\"RemoteConnectionObject\", \"[\", \"…\", \"]\"}] is an object that represents a remote connection.", + "RemoteRun":"RowBox[{\"RemoteRun\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the specified operating system command on the remote host, returning the exit code obtained.\nRowBox[{\"RemoteRun\", \"[\", RowBox[{RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the command on the machine with the specified IP address.\nRowBox[{\"RemoteRun\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] run the command on the remote host specified by the RemoteConnectionObject StyleBox[\"obj\", \"TI\"].", + "RemoteRunProcess":"RowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the specified system command on the remote host, returning information on the outcome.\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the command on the machine with the specified IP address.\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] run the command on the remote host specified by the RemoteConnectionObject StyleBox[\"obj\", \"TI\"].\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] runs the specified command, with command-line arguments SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", \" \", StyleBox[\"command\", \"TI\"], \",\", StyleBox[StyleBox[\"\\\"prop\\\"\",ShowStringCharacters->True], \"TI\"]}], \"]\"}] returns only the specified property.\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", \" \", StyleBox[\"command\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] feeds the specified initial input to the command.", + "Remove":"RowBox[{\"Remove\", \"[\", RowBox[{SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] removes symbols completely, so that their names are no longer recognized by StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"]. \nRowBox[{\"Remove\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] removes all symbols whose names match any of the string patterns SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "RemoveAlphaChannel":"RowBox[{\"RemoveAlphaChannel\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] removes all opacity information from StyleBox[\"image\", \"TI\"].\nRowBox[{\"RemoveAlphaChannel\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] removes opacity by blending all pixels with the background color StyleBox[\"c\", \"TI\"].", + "RemoveAsynchronousTask":"RowBox[{\"RemoveAsynchronousTask\", \"[\", StyleBox[\"asyncTask\", \"TI\"], \"]\"}] stops asynchronous evaluations and removes StyleBox[\"asyncTask\", \"TI\"] from the system.", + "RemoveAudioStream":"RowBox[{\"RemoveAudioStream\", \"[\", \"]\"}] deletes all AudioStream objects.\nRowBox[{\"RemoveAudioStream\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] deletes the AudioStream object StyleBox[\"stream\", \"TI\"].\nRowBox[{\"RemoveAudioStream\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] deletes all the AudioStream objects stemming from StyleBox[\"audio\", \"TI\"].", + "RemoveBackground":"RowBox[{\"RemoveBackground\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns an image with an alpha channel where the background is transparent. \nRowBox[{\"RemoveBackground\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] uses foreground or background StyleBox[\"model\", \"TI\"] specification.", + "RemoveChannelListener":"RowBox[{\"RemoveChannelListener\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] removes StyleBox[\"obj\", \"TI\"] from the list of currently active channel listeners.\nRowBox[{\"RemoveChannelListener\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] removes all the SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RemoveChannelListener\", \"[\", \"]\"}] removes all currently active channel listeners.", + "Removed":"RowBox[{\"Removed\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is printed to indicate a symbol that has been removed.", + "RemoveDiacritics":"RowBox[{\"RemoveDiacritics\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] replaces characters in StyleBox[\"string\", \"TI\"] that have diacritics by their base ASCII characters, when possible.", + "RemoveInputStreamMethod":"RowBox[{\"RemoveInputStreamMethod\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] removes a custom input stream method.", + "RemoveOutputStreamMethod":"RowBox[{\"RemoveOutputStreamMethod\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] removes a custom output stream method.", + "RemoveProperty":"RowBox[{\"RemoveProperty\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \"]\"}] removes all properties associated with StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"RemoveProperty\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] removes the property StyleBox[\"name\", \"TI\"] associated with StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].", + "RemoveScheduledTask":"RowBox[{\"RemoveScheduledTask\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] removes StyleBox[\"obj\", \"TI\"] from the list of currently scheduled local or cloud tasks.", + "RemoveUsers":"RowBox[{\"RemoveUsers\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] removes the users SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the permissions group StyleBox[\"group\", \"TI\"].", + "RenameDirectory":"RowBox[{\"RenameDirectory\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] renames the directory SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "RenameFile":"RowBox[{\"RenameFile\", \"[\", RowBox[{SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] renames SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "RenderAll":"RenderAll is an option for Graphics3D that specifies whether or not PostScript should be generated for StyleBox[\"all\", \"TI\"] polygons. ", + "RenderingOptions":"RenderingOptions is an option for Style, Cell and related constructs that specifies options related to rendering.", + "RenewalProcess":"RowBox[{\"RenewalProcess\", \"[\", StyleBox[\"rdist\", \"TI\"], \"]\"}] represents a renewal process with interarrival times distributed according to StyleBox[\"rdist\", \"TI\"].", + "RenkoChart":"RowBox[{\"RenkoChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a Renko chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RenkoChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a Renko chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"RenkoChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] makes a Renko chart with brick height of fraction StyleBox[\"s\", \"TI\"] of the average price.", + "RepairMesh":"RowBox[{\"RepairMesh\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] repairs defects in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"RepairMesh\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] repairs only the specified defects RowBox[{SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].", + "Repeated":"RowBox[{StyleBox[\"p\", \"TI\"], \"..\"}] or RowBox[{\"Repeated\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that represents a sequence of one or more expressions, each matching StyleBox[\"p\", \"TI\"]. \nRowBox[{\"Repeated\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents from 1 to StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].\nRowBox[{\"Repeated\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].\nRowBox[{\"Repeated\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] represents exactly StyleBox[\"n\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].", + "RepeatedNull":"RowBox[{StyleBox[\"p\", \"TI\"], \"...\"}] or RowBox[{\"RepeatedNull\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that represents a sequence of zero or more expressions, each matching StyleBox[\"p\", \"TI\"]. \nRowBox[{\"RepeatedNull\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents from 0 to StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].\nRowBox[{\"RepeatedNull\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].", + "RepeatedString":"RepeatedString is an internal symbol used for formatting and printing.", + "RepeatedTiming":"RowBox[{\"RepeatedTiming\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] repeatedly and returns a list of the average time in seconds used, together with the result obtained.\nRowBox[{\"RepeatedTiming\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] does repeated evaluation for at least StyleBox[\"t\", \"TI\"] seconds. ", + "RepeatingElement":"RowBox[{\"RepeatingElement\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an arbitrarily repeated type of element in an interpreter, API or form specification.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents an element that can appear at most StyleBox[\"max\", \"TI\"] times.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents an element that can appear between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] times.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents an element that initially appears StyleBox[\"n\", \"TI\"] times in a form.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents an element where StyleBox[\"i\", \"TI\"] takes successive values.", + "Replace":"RowBox[{\"Replace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] applies a rule or list of rules in an attempt to transform the entire expression StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Replace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies rules to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Replace\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of Replace that can be applied to an expression.", + "ReplaceAll":"RowBox[{StyleBox[\"expr\", \"TI\"], \"\/.\", StyleBox[\"rules\", \"TI\"]}] applies a rule or list of rules in an attempt to transform each subpart of an expression StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"ReplaceAll\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of ReplaceAll that can be applied to an expression.", + "ReplaceImageValue":"RowBox[{\"ReplaceImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"pos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] changes the pixel values at position StyleBox[\"pos\", \"TI\"] in StyleBox[\"image\", \"TI\"] to StyleBox[\"val\", \"TI\"].\nRowBox[{\"ReplaceImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"pos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] assumes StyleBox[\"val\", \"TI\"] to be of the specified type.", + "ReplaceList":"RowBox[{\"ReplaceList\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] attempts to transform the entire expression StyleBox[\"expr\", \"TI\"] by applying a rule or list of rules in all possible ways, and returns a list of the results obtained. \nRowBox[{\"ReplaceList\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of at most StyleBox[\"n\", \"TI\"] results. \nRowBox[{\"ReplaceList\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] is an operator form of ReplaceList that can be applied to an expression.", + "ReplacePart":"RowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] yields an expression in which the StyleBox[RowBox[{StyleBox[\"i\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] part of StyleBox[\"expr\", \"TI\"] is replaced by StyleBox[\"new\", \"TI\"]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces parts at positions SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]] by SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces the part at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces parts at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] by SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces all parts at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] by StyleBox[\"new\", \"TI\"]. \nRowBox[{\"ReplacePart\", \"[\", StyleBox[RowBox[{\"i\", StyleBox[\"\", FontSlant -> \"Plain\"], \"new\"}], \"TI\"], \"]\"}] represents an operator form of ReplacePart that can be applied to an expression.", + "ReplacePixelValue":"RowBox[{\"ReplacePixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"ppos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] changes the pixel values at pixel position StyleBox[\"ppos\", \"TI\"] in StyleBox[\"image\", \"TI\"] to StyleBox[\"val\", \"TI\"].\nRowBox[{\"ReplacePixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"ppos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] assumes StyleBox[\"val\", \"TI\"] to be of the specified type.", + "ReplaceRepeated":"RowBox[{StyleBox[\"expr\", \"TI\"], \"\/\/.\", StyleBox[\"rules\", \"TI\"]}] repeatedly performs replacements until StyleBox[\"expr\", \"TI\"] no longer changes. \nRowBox[{\"ReplaceRepeated\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of ReplaceRepeated that can be applied to an expression.", + "ReplicateLayer":"RowBox[{\"ReplicateLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that takes an input of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and replicates it StyleBox[\"n\", \"TI\"] times to produce an output of dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"ReplicateLayer\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \"]\"}] represents a net layer that takes an input of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and replicates it to produce an output of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"ReplicateLayer\", \"[\", RowBox[{StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] replicates so that StyleBox[\"dims\", \"TI\"] appears at position StyleBox[\"m\", \"TI\"] in the list of output dimensions. ", + "RequiredPhysicalQuantities":"RequiredPhysicalQuantities is an option for FormulaLookup that specifies physical quantities that must be used by the formulas returned.", + "Resampling":"Resampling is an option that specifies the method to be used for resampling images or arrays.", + "ResamplingAlgorithmData":"RowBox[{\"ResamplingAlgorithmData\", \"[\", RowBox[{StyleBox[\"rs\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property \"\nStyleBox[\"prop\", \"TI\"]\" for the resampling StyleBox[\"rs\", \"TI\"].", + "ResamplingMethod":"ResamplingMethod is an option for functions such as TemporalData and MovingMap that specifies how values in between given times should be computed.", + "Rescale":"RowBox[{\"Rescale\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"x\", \"TI\"] rescaled to run from 0 to 1 over the range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"]. \nRowBox[{\"Rescale\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives StyleBox[\"x\", \"TI\"] rescaled to run from SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]] over the range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"]. \nRowBox[{\"Rescale\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] rescales each element of StyleBox[\"list\", \"TI\"] to run from 0 to 1 over the range RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] to RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]. ", + "RescalingTransform":"RowBox[{\"RescalingTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a TransformationFunction that rescales the region with coordinate ranges SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc. to the region with coordinate ranges SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc.\nRowBox[{\"RescalingTransform\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a TransformationFunction that rescales to the unit square, cube, etc.", + "ResetDirectory":"RowBox[{\"ResetDirectory\", \"[\", \"]\"}] resets the current working directory to its previous value. ", + "ResetScheduledTask":"RowBox[{RowBox[{\"ResetScheduledTask\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}], \" \"}] resets the timing for a scheduled task to StyleBox[\"timespec\", \"TI\"].\nRowBox[{\"ResetScheduledTask\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] resets the time offset for a scheduled task to StyleBox[\"offset\", \"TI\"].", + "ReshapeLayer":"RowBox[{\"ReshapeLayer\", \"[\", StyleBox[\"dims\", \"TI\"], \"]\"}] represents a net layer that reinterprets the input to be an array of dimensions StyleBox[\"dims\", \"TI\"].", + "Residue":"RowBox[{\"Residue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] finds the residue of StyleBox[\"expr\", \"TI\"] at the point RowBox[{StyleBox[\"z\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. ", + "ResizeLayer":"RowBox[{\"ResizeLayer\", \"[\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}], \"]\"}] resizes a matrix of size RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] to be size RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", StyleBox[\"n\", \"TI\"]}].\nRowBox[{\"ResizeLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] resizes a tensor of dimensions RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] to be size RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].", + "Resolve":"RowBox[{\"Resolve\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] attempts to resolve StyleBox[\"expr\", \"TI\"] into a form that eliminates ForAll and Exists quantifiers. \nRowBox[{\"Resolve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] works over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Complexes, Reals, and Booleans. ", + "ResourceData":"RowBox[{\"ResourceData\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] gives the primary content of the specified resource.\nRowBox[{\"ResourceData\", \"[\", RowBox[{StyleBox[\"resource\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives element StyleBox[\"elem\", \"TI\"] of the content of the resource. ", + "ResourceObject":"RowBox[{\"ResourceObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a resource with the specified name.\nRowBox[{\"ResourceObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uuid\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a resource with the specified UUID.\nRowBox[{\"ResourceObject\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives a resource with content and metadata specified by the association StyleBox[\"assoc\", \"TI\"].", + "ResourceRegister":"RowBox[{\"ResourceRegister\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] creates a persistent cache of a resource object that can be referenced by name.\nRowBox[{\"ResourceRegister\", \"[\", StyleBox[RowBox[{\"resource\", \",\", \" \", \"loc\"}], \"TI\"], \"]\"}] stores the resource in persistence location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"ResourceRegister\", \"[\", RowBox[{StyleBox[\"resource\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\" \", \"TI\"], RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] stores the resource in multiple persistence locations.", + "ResourceRemove":"RowBox[{\"ResourceRemove\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] removes the specified resource from the system on which it is run.", + "ResourceSearch":"RowBox[{\"ResourceSearch\", \"[\", StyleBox[\"keywords\", \"TI\"], \"]\"}] gives a list of resources in local and cloud resource systems whose descriptions include the given keywords.\nRowBox[{\"ResourceSearch\", \"[\", RowBox[{StyleBox[\"keywords\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] results.", + "ResourceSubmit":"RowBox[{\"ResourceSubmit\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] submits the specified resource object to be reviewed for publication.\nRowBox[{\"ResourceSubmit\", \"[\", RowBox[{StyleBox[\"new\", \"TI\"], \",\", StyleBox[\"old\", \"TI\"]}], \"]\"}] submits the resource StyleBox[\"new\", \"TI\"] as the updated version of the resource StyleBox[\"old\", \"TI\"].", + "ResourceUpdate":"RowBox[{\"ResourceUpdate\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] updates to the latest version of the specified resource object.\nRowBox[{\"ResourceUpdate\", \"[\", StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"]\"}] updates the resource with the specified name.", + "ResponseForm":"RowBox[{\"ResponseForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a response record to be given in a specified format when requested during the execution of a function specified by APIFunction, FormFunction, etc.\nRowBox[{\"ResponseForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes only the response record elements SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Rest":"RowBox[{\"Rest\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with the first element removed. ", + "RestartInterval":"RestartInterval is an option controlling the restart behavior of functions such as ContinuousTask.", + "Restricted":"RowBox[{\"Restricted\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a form for Interpreter and related functions restricted according to the conditions StyleBox[\"cond\", \"TI\"].", + "Resultant":"RowBox[{\"Resultant\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] computes the resultant of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"]. \nRowBox[{\"Resultant\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the resultant modulo the prime StyleBox[\"p\", \"TI\"]. ", + "ResumePacket":"RowBox[{\"ResumePacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet used for synchronization with the StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel.", + "Return":"RowBox[{\"Return\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the value StyleBox[\"expr\", \"TI\"] from a function. \nRowBox[{\"Return\", \"[\", \"]\"}] returns the value Null. ", + "ReturnExpressionPacket":"RowBox[{\"ReturnExpressionPacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains the expression StyleBox[\"expr\", \"TI\"], the result of an EnterExpressionPacket evaluation.", + "ReturnInputFormPacket":"ReturnInputFormPacket is an internal symbol used for formatting.", + "ReturnPacket":"RowBox[{\"ReturnPacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains the expression StyleBox[\"expr\", \"TI\"], the result of an EvaluatePacket evaluation.", + "ReturnReceiptFunction":"ReturnReceiptFunction is an option for MailReceiverFunction that specifies what function to apply if a return receipt is requested for mail received by a MailReceiverFunction.", + "ReturnTextPacket":"RowBox[{\"ReturnTextPacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet containing StyleBox[\"string\", \"TI\"], the result of an EnterTextPacket evaluation.", + "Reverse":"RowBox[{\"Reverse\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] reverses the order of the elements in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Reverse\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reverses elements at level StyleBox[\"n\", \"TI\"] in StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Reverse\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reverses elements at levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … in StyleBox[\"expr\", \"TI\"].", + "ReverseBiorthogonalSplineWavelet":"RowBox[{\"ReverseBiorthogonalSplineWavelet\", \"[\", \"]\"}] represents a reverse biorthogonal spline wavelet of order 4 and dual order 2.\nRowBox[{\"ReverseBiorthogonalSplineWavelet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a reverse biorthogonal spline wavelet of order StyleBox[\"n\", \"TI\"] and dual order StyleBox[\"m\", \"TI\"].", + "ReverseElement":"RowBox[{\"ReverseElement\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∋\", StyleBox[\"y\", \"TI\"], \"∋\", \"…\"}].", + "ReverseEquilibrium":"RowBox[{\"ReverseEquilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇋\", \"y\", \"⇋\", \"…\"}].", + "ReverseGraph":"RowBox[{\"ReverseGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the reverse graph of the directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ReverseGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "ReverseSort":"RowBox[{\"ReverseSort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into reverse canonical order. \nRowBox[{\"ReverseSort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] sorts using the ordering function StyleBox[\"p\", \"TI\"]. ", + "ReverseUpEquilibrium":"RowBox[{\"ReverseUpEquilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥯\", \"y\", \"⥯\", \"…\"}].", + "RevolutionAxis":"RevolutionAxis is an option for RevolutionPlot3D which specifies the revolution axis around which the curve should be rotated. ", + "RevolutionPlot3D":"RowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the surface of revolution with height SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]] at radius StyleBox[\"t\", \"TI\"].\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the azimuthal angle StyleBox[\"θ\", \"TR\"] to vary between SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the surface obtained by rotating the parametric curve with StyleBox[\"x\", \"TI\"], StyleBox[\"z\", \"TI\"] coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}] around the StyleBox[\"z\", \"TI\"] axis.\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the azimuthal angle StyleBox[\"θ\", \"TR\"] to vary from SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{StyleBox[\"{\", \"TR\"], RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the surface obtained by rotating the parametric curve with StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"] coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}].", + "RGBColor":"RowBox[{\"RGBColor\", \"[\", RowBox[{StyleBox[\"red\", \"TI\"], \",\", StyleBox[\"green\", \"TI\"], \",\", StyleBox[\"blue\", \"TI\"]}], \"]\"}] is a graphics directive specifying that objects that follow are to be displayed in the color given. \nRowBox[{\"RGBColor\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. \nRowBox[{\"RGBColor\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] evaluates to a normal RGBColor object.", + "RiccatiSolve":"RowBox[{\"RiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the matrix StyleBox[\"x\", \"TI\"] that is the stabilizing solution of the continuous algebraic Riccati equation RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"], \".\", SuperscriptBox[\"r\", RowBox[{\"-\", \"1\"}]], \".\", SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}].\nRowBox[{\"RiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] solves the equation RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", RowBox[{RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"+\", StyleBox[\"p\", \"TI\"]}], \")\"}], \".\", SuperscriptBox[\"r\", RowBox[{\"-\", \"1\"}]], \".\", RowBox[{\"(\", RowBox[{RowBox[{SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", SuperscriptBox[\"p\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}]}], \")\"}]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}]. ", + "RiceDistribution":"RowBox[{\"RiceDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Rice distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].\nRowBox[{\"RiceDistribution\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Norton–Rice distribution with parameters StyleBox[\"m\", \"TI\"], StyleBox[\"α\", \"TR\"], and StyleBox[\"β\", \"TR\"].", + "RidgeFilter":"RowBox[{\"RidgeFilter\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] computes a measure for the presence of a ridge at every position of StyleBox[\"data\", \"TI\"].\nRowBox[{\"RidgeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] uses the specified ridge scale StyleBox[\"σ\", \"TR\"].", + "RiemannR":"RowBox[{\"RiemannR\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the Riemann prime counting function RowBox[{StyleBox[\"R\", \"TI\"], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", + "RiemannSiegelTheta":"RowBox[{\"RiemannSiegelTheta\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Riemann–Siegel function RowBox[{\"ϑ\", \"(\", \"t\", \")\"}]. ", + "RiemannSiegelZ":"RowBox[{\"RiemannSiegelZ\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Riemann–Siegel function RowBox[{StyleBox[\"Z\", \"TI\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}]. ", + "RiemannXi":"RowBox[{\"RiemannXi\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Riemann xi function RowBox[{\"ξ\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", + "Riffle":"RowBox[{\"Riffle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Riffle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Riffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] yields a list in which every StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] element is StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Riffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] yields a list in which StyleBox[\"x\", \"TI\"] appears if possible at positions SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], RowBox[{Cell[BoxData[SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]], \"InlineFormula\"], \"+\", StyleBox[\"n\", \"TI\"]}], RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"+\", RowBox[{\"2\", StyleBox[\"n\", \"TI\"]}]}], … , SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]. ", + "Right":"Right is a symbol that represents the right-hand side for purposes of alignment and positioning. ", + "RightArrow":"RowBox[{\"RightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"→\", \"y\", \"→\", \"…\"}].", + "RightArrowBar":"RowBox[{\"RightArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇥\", \"y\", \"⇥\", \"…\"}].", + "RightArrowLeftArrow":"RowBox[{\"RightArrowLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇄\", \"y\", \"⇄\", \"…\"}].", + "RightComposition":"RowBox[{\"RightComposition\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a composition on the right of the functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], …. ", + "RightCosetRepresentative":"RowBox[{\"RightCosetRepresentative\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns the smallest element in the right coset of products of the elements of StyleBox[\"group\", \"TI\"] by StyleBox[\"g\", \"TI\"].", + "RightDownTeeVector":"RowBox[{\"RightDownTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥝\", \"y\", \"⥝\", \"…\"}].", + "RightDownVector":"RowBox[{\"RightDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇂\", StyleBox[\"y\", \"TI\"], \"⇂\", \"…\"}].", + "RightDownVectorBar":"RowBox[{\"RightDownVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥕\", StyleBox[\"y\", \"TI\"], \"⥕\", \"…\"}].", + "RightTee":"RowBox[{\"RightTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊢\", \"y\"}].", + "RightTeeArrow":"RowBox[{\"RightTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↦\", StyleBox[\"y\", \"TI\"], \"↦\", \"…\"}].", + "RightTeeVector":"RowBox[{\"RightTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥛\", StyleBox[\"y\", \"TI\"], \"⥛\", \"…\"}].", + "RightTriangle":"RowBox[{\"RightTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊳\", \"y\", \"⊳\", \"…\"}].", + "RightTriangleBar":"RowBox[{\"RightTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⧐\", \"y\", \"⧐\", \"…\"}].", + "RightTriangleEqual":"RowBox[{\"RightTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊵\", \"y\", \"⊵\", \"…\"}].", + "RightUpDownVector":"RowBox[{\"RightUpDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥏\", \"y\", \"⥏\", \"…\"}].", + "RightUpTeeVector":"RowBox[{\"RightUpTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥜\", \"y\", \"⥜\", \"…\"}].", + "RightUpVector":"RowBox[{\"RightUpVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"↾\", \"y\", \"↾\", \"…\"}].", + "RightUpVectorBar":"RowBox[{\"RightUpVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥔\", \"y\", \"⥔\", \"…\"}].", + "RightVector":"RowBox[{\"RightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇀\", \"y\", \"⇀\", \"…\"}].", + "RightVectorBar":"RowBox[{\"RightVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥓\", \"y\", \"⥓\", \"…\"}].", + "RiskAchievementImportance":"RowBox[{\"RiskAchievementImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk achievement importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"RiskAchievementImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk achievement importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", + "RiskReductionImportance":"RowBox[{\"RiskReductionImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk reduction importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"RiskReductionImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk reduction importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", + "RogersTanimotoDissimilarity":"RowBox[{\"RogersTanimotoDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Rogers–Tanimoto dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "RollPitchYawAngles":"RowBox[{\"RollPitchYawAngles\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives the roll-pitch-yaw angles RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}] corresponding to the rotation matrix StyleBox[\"r\", \"TI\"].\nRowBox[{\"RollPitchYawAngles\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the roll-pitch-yaw angles RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}] corresponding to rotation order RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}].", + "RollPitchYawMatrix":"RowBox[{\"RollPitchYawMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \"]\"}] gives the 3D rotation matrix formed by rotating by StyleBox[\"α\", \"TR\"] around the initial z axis, then by StyleBox[\"β\", \"TR\"] around the initial y axis, and then by StyleBox[\"γ\", \"TR\"] around the initial x axis. \nRowBox[{\"RollPitchYawMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the 3D rotation matrix formed by rotating by StyleBox[\"α\", \"TR\"] around the fixed StyleBox[\"a\", \"TI\"] axis, then by StyleBox[\"β\", \"TR\"] around the fixed StyleBox[\"b\", \"TI\"] axis, and then by StyleBox[\"γ\", \"TR\"] around the fixed StyleBox[\"c\", \"TI\"] axis. ", + "RomanNumeral":"RowBox[{\"RomanNumeral\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string corresponding to the Roman numeral form of the integer StyleBox[\"n\", \"TI\"].", + "Root":"RowBox[{\"Root\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the exact StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] root of the polynomial equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}]. \nRowBox[{\"Root\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the last coordinate of the exact vector RowBox[{StyleBox[\"{\", \"TR\"], RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}] such that SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] is the SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] root of the polynomial equation RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[RowBox[{\"i\", \"-\", StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}].\nRowBox[{\"Root\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \"]\"}] represents the exact root of the general equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}] near RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].\nRowBox[{\"Root\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \"]\"}] represents StyleBox[\"n\", \"TI\"] roots of the equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}] near RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].", + "RootApproximant":"RowBox[{\"RootApproximant\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] converts the number StyleBox[\"x\", \"TI\"] to one of the \"simplest\" algebraic numbers that approximates it well.\nRowBox[{\"RootApproximant\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds an algebraic number of degree at most StyleBox[\"n\", \"TI\"] that approximates StyleBox[\"x\", \"TI\"].", + "RootIntervals":"RowBox[{\"RootIntervals\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of isolating intervals for the real roots of any of the SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]], together with a list of which polynomials actually have each successive root.\nRowBox[{\"RootIntervals\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives isolating intervals for real roots of a single polynomial. \nRowBox[{\"RootIntervals\", \"[\", RowBox[{StyleBox[\"polys\", \"TI\"], \",\", \"Complexes\"}], \"]\"}] gives bounding rectangles for complex roots.", + "RootLocusPlot":"RowBox[{\"RootLocusPlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a root locus plot of a linear time-invariant system StyleBox[\"lsys\", \"TI\"] as the parameter StyleBox[\"k\", \"TI\"] ranges from SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "RootMeanSquare":"RowBox[{\"RootMeanSquare\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the root mean square of values in StyleBox[\"list\", \"TI\"].\nRowBox[{\"RootMeanSquare\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the root mean square of the distribution StyleBox[\"dist\", \"TI\"].", + "RootOfUnityQ":"RowBox[{\"RootOfUnityQ\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] yields True if StyleBox[\"a\", \"TI\"] is a root of unity, and yields False otherwise.", + "RootReduce":"RowBox[{\"RootReduce\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single Root object. ", + "Roots":"RowBox[{\"Roots\", \"[\", RowBox[{RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] yields a disjunction of equations which represent the roots of a polynomial equation. ", + "RootSum":"RowBox[{\"RootSum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] represents the sum of RowBox[{StyleBox[\"form\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] for all StyleBox[\"x\", \"TI\"] that satisfy the polynomial equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], StyleBox[\"==\", \"TR\"], StyleBox[\"0\", \"TR\"]}]. ", + "Rotate":"RowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] represents 2D graphics primitives or any other objects StyleBox[\"g\", \"TI\"] rotated counterclockwise by StyleBox[\"θ\", \"TR\"] radians about the center of their bounding box. \nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates about the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]. \nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates around the origin, transforming the 2D or 3D vector StyleBox[\"u\", \"TI\"] to StyleBox[\"v\", \"TI\"].\nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] rotates 3D graphics primitives by StyleBox[\"θ\", \"TR\"] radians around the 3D vector StyleBox[\"w\", \"TI\"] anchored at the origin.\nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] rotates around the 3D vector StyleBox[\"w\", \"TI\"] anchored at StyleBox[\"p\", \"TI\"].\nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates by angle StyleBox[\"θ\", \"TR\"] in the plane spanned by 3D vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "RotateLabel":"RotateLabel is an option for graphics and related functions that specifies whether labels on vertical frame axes should be rotated to be vertical. ", + "RotateLeft":"RowBox[{\"RotateLeft\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the elements in StyleBox[\"expr\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the left. \nRowBox[{\"RotateLeft\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] cycles one position to the left. \nRowBox[{\"RotateLeft\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] cycles elements at successive levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] positions to the left. ", + "RotateRight":"RowBox[{\"RotateRight\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the elements in StyleBox[\"expr\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the right. \nRowBox[{\"RotateRight\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] cycles one position to the right. \nRowBox[{\"RotateRight\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] cycles elements at successive levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] positions to the right. ", + "RotationAction":"RotationAction is an option for three-dimensional graphics functions that specifies how to render 3D objects when they are interactively rotated.", + "RotationBoxOptions":"RowBox[{RotationBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RotationBox objects.", + "RotationMatrix":"RowBox[{\"RotationMatrix\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives the 2D rotation matrix that rotates 2D vectors counterclockwise by StyleBox[\"θ\", \"TR\"] radians.\nRowBox[{\"RotationMatrix\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives the 3D rotation matrix for a counterclockwise rotation around the 3D vector StyleBox[\"w\", \"TI\"].\nRowBox[{\"RotationMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives the matrix that rotates the vector StyleBox[\"u\", \"TI\"] to the direction of the vector StyleBox[\"v\", \"TI\"] in any dimension.\nRowBox[{\"RotationMatrix\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the matrix that rotates by StyleBox[\"θ\", \"TR\"] radians in the plane spanned by StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "RotationTransform":"RowBox[{\"RotationTransform\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives a TransformationFunction that represents a rotation in 2D by StyleBox[\"θ\", \"TR\"] radians about the origin.\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a 2D rotation about the 2D point StyleBox[\"p\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a 3D rotation around the direction of the 3D vector StyleBox[\"w\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a 3D rotation around the axis StyleBox[\"w\", \"TI\"] anchored at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives a rotation about the origin that transforms the vector StyleBox[\"u\", \"TI\"] to the direction of the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a rotation about the point StyleBox[\"p\", \"TI\"] that transforms StyleBox[\"u\", \"TI\"] to the direction of StyleBox[\"v\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a rotation by StyleBox[\"θ\", \"TR\"] radians in the plane spanned by StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "Round":"RowBox[{\"Round\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the integer closest to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Round\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] rounds to the nearest multiple of StyleBox[\"a\", \"TI\"]. ", + "RoundingRadius":"RoundingRadius is an option for Rectangle, Framed, and related functions that specifies the radius of the circle to use in rendering rounded corners.", + "Row":"RowBox[{\"Row\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats with the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] arranged in a row, potentially extending over several lines. \nRowBox[{\"Row\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] inserts StyleBox[\"s\", \"TI\"] as a separator between successive elements. ", + "RowAlignments":"RowAlignments is an option for the low-level function GridBox that specifies how entries in each row should be aligned. ", + "RowBox":"RowBox[{RowBox, \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a low-level box construct that represents a row of boxes or strings in a notebook expression. ", + "RowLines":"RowLines is an option for the low-level function GridBox that specifies whether lines should be drawn between adjacent rows. ", + "RowMinHeight":"RowMinHeight is an option for the low-level function GridBox that specifies the minimum total height in units of font size that should be allowed for each row. ", + "RowReduce":"RowBox[{\"RowReduce\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the row‐reduced form of the matrix StyleBox[\"m\", \"TI\"]. ", + "RowsEqual":"RowsEqual is an option for the low-level function GridBox that specifies whether all rows in the grid should be assigned equal total height. ", + "RowSpacings":"RowSpacings is an option for the low-level function GridBox that specifies the spaces in x heights that should be inserted between successive rows. ", + "RSolve":"RowBox[{\"RSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", RowBox[{StyleBox[\"a\", \"TI\"], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] solves a recurrence equation for RowBox[{StyleBox[\"a\", \"TI\"], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}]. \nRowBox[{\"RSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] solves a system of recurrence equations. \nRowBox[{\"RSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", RowBox[{StyleBox[\"a\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] solves a partial recurrence equation. ", + "RSolveValue":"RowBox[{\"RSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] determined by a symbolic solution to the ordinary difference equation StyleBox[\"eqn\", \"TI\"] with independent variable StyleBox[\"n\", \"TI\"]. \nRowBox[{\"RSolveValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses a symbolic solution for a list of difference equations. \nRowBox[{\"RSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a solution for the partial recurrence equation StyleBox[\"eqn\", \"TI\"]. ", + "RudinShapiro":"RowBox[{\"RudinShapiro\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term in the Rudin–Shapiro sequence.", + "RudvalisGroupRu":"RowBox[{\"RudvalisGroupRu\", \"[\", \"]\"}] represents the sporadic simple Rudvalis group Ru.", + "Rule":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"->\", StyleBox[\"rhs\", \"TI\"]}] or RowBox[{StyleBox[\"lhs\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}] represents a rule that transforms StyleBox[\"lhs\", \"TI\"] to StyleBox[\"rhs\", \"TI\"]. ", + "RuleCondition":"RuleCondition is an internal symbol.", + "RuleDelayed":"RowBox[{StyleBox[\"lhs\", \"TI\"], \":>\", StyleBox[\"rhs\", \"TI\"]}] or RowBox[{StyleBox[\"lhs\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}] represents a rule that transforms StyleBox[\"lhs\", \"TI\"] to StyleBox[\"rhs\", \"TI\"], evaluating StyleBox[\"rhs\", \"TI\"] only after the rule is used. ", + "RuleForm":"RuleForm is an internal symbol used for formatting and printing.", + "RulePlot":"RowBox[{\"RulePlot\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] generates a plot representing the rule for the computational system StyleBox[\"sys\", \"TI\"].\nRowBox[{\"RulePlot\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a plot of the evolution of the system StyleBox[\"sys\", \"TI\"] from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps.\nRowBox[{\"RulePlot\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"evol\", \"TI\"]}], \"]\"}] generates a plot of the evolution StyleBox[\"evol\", \"TI\"] assuming it is derived from a system of the form StyleBox[\"sys\", \"TI\"].", + "RulerUnits":"RulerUnits is an option for notebooks that specifies the units in the ruler toolbar.", + "Run":"RowBox[{\"Run\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] runs StyleBox[\"command\", \"TI\"] as an external operating system command, returning the exit code obtained.", + "RunProcess":"RowBox[{\"RunProcess\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] runs the specified external command, returning information on the outcome.\nRowBox[{\"RunProcess\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] runs the specified command, with command-line arguments SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RunProcess\", \"[\", RowBox[{StyleBox[\"command\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns only the specified property.\nRowBox[{\"RunProcess\", \"[\", RowBox[{StyleBox[\"command\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] feeds the specified initial input to the command.", + "RunScheduledTask":"RowBox[{\"RunScheduledTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] schedules and starts a local scheduled task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] once per second.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] schedules and starts a task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] every StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"time\", \"TI\"], \"}\"}]}], \"]\"}] schedules and starts a task that will evaluate StyleBox[\"expr\", \"TI\"] once after StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"count\", \"TI\"]}], \"}\"}]}], \"]\"}] schedules and starts a task that will try evaluating StyleBox[\"expr\", \"TI\"] once every StyleBox[\"time\", \"TI\"] seconds up to StyleBox[\"count\", \"TI\"] times.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"start\", \"TI\"]}], \"]\"}] schedules a task that will automatically start at StyleBox[\"start\", \"TI\"] time.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TI\"], \"]\"}], \"]\"}] asynchronously executes an existing cloud task or document generator.", + "RunThrough":"RowBox[{\"RunThrough\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] executes an external command, giving the printed form of StyleBox[\"expr\", \"TI\"] as input and taking the output, reading it as StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] input, and returning the result. ", + "RuntimeAttributes":"RuntimeAttributes is an option for Compile that specifies attributes for the compiled function it creates.", + "RuntimeOptions":"RuntimeOptions is an option for Compile that specifies runtime settings for the compiled function it creates.", + "RussellRaoDissimilarity":"RowBox[{\"RussellRaoDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Russell–Rao dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "SameQ":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"===\", StyleBox[\"rhs\", \"TI\"]}] yields True if the expression StyleBox[\"lhs\", \"TI\"] is identical to StyleBox[\"rhs\", \"TI\"], and yields False otherwise. ", + "SameTest":"SameTest is an option whose setting gives a pairwise comparison function to determine whether expressions should be considered the same.", + "SampleDepth":"SampleDepth is an option for sound primitives that specifies how many bits should be used to encode sound amplitude levels. ", + "SampledSoundFunction":"RowBox[{\"SampledSoundFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] is a sound primitive that represents a sound whose amplitude sampled StyleBox[\"r\", \"TI\"] times a second is generated by applying the function StyleBox[\"f\", \"TI\"] to successive integers from 1 to StyleBox[\"n\", \"TI\"]. ", + "SampledSoundList":"RowBox[{\"SampledSoundList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] is a sound primitive that represents a sound whose amplitude has levels SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] sampled StyleBox[\"r\", \"TI\"] times a second. ", + "SampleRate":"SampleRate is an option that specifies the number of samples per second for sound and signal processing functions.", + "SamplingPeriod":"SamplingPeriod is an option to StateSpaceModel etc. that specifies the sampling period.", + "SARIMAProcess":"RowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"δ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a seasonal integrated autoregressive moving-average process with ARIMA coefficients SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"d\", \"TI\"], and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]]; seasonal order StyleBox[\"s\", \"TI\"]; seasonal ARIMA coefficients SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"δ\", \"TR\"], and SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"j\", \"TI\"]]; seasonal integration order StyleBox[\"δ\", \"TR\"]; and normal white noise with variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"δ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector SARIMA process with coefficient matrices SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]], SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]], and SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"j\", \"TI\"]] and covariance matrix StyleBox[\"Σ\", \"TR\"]. \nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector SARIMA process with multiple integration orders SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]], seasonal orders SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"j\", \"TI\"]], and seasonal integration orders SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"k\", \"TI\"]]. \nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"δ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents a SARIMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a SARIMA process with constant StyleBox[\"c\", \"TI\"].", + "SARMAProcess":"RowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a weakly stationary seasonal autoregressive moving-average process with ARMA coefficients SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]], seasonal order StyleBox[\"s\", \"TI\"], seasonal ARMA coefficients SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"j\", \"TI\"]], and normal white noise with variance StyleBox[\"v\", \"TI\"].\nRowBox[{RowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}], \" \"}] represents a weakly stationary vector SARMA process driven by normal white noise, with covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a weakly stationary vector SARMA process with multiple seasonal orders SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{RowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}], \" \"}] represents a SARMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"SARMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a SARMA process with a constant StyleBox[\"c\", \"TI\"].", + "SASTriangle":"RowBox[{\"SASTriangle\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] returns a filled triangle with sides of length StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"] and angle StyleBox[\"γ\", \"TR\"] between them. ", + "SatelliteData":"RowBox[{\"SatelliteData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the satellite StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SatelliteData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified satellite entities.\nRowBox[{\"SatelliteData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "SatisfiabilityCount":"RowBox[{\"SatisfiabilityCount\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] counts the number of possible combinations of variable values that yield True when supplied as arguments to the Boolean function StyleBox[\"bf\", \"TI\"].\nRowBox[{\"SatisfiabilityCount\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] counts the number of possible combinations of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that make the Boolean expression StyleBox[\"expr\", \"TI\"] be true.", + "SatisfiabilityInstances":"RowBox[{\"SatisfiabilityInstances\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] attempts to find a choice of variables that makes the Boolean function StyleBox[\"bf\", \"TI\"] yield True.\nRowBox[{\"SatisfiabilityInstances\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to find a choice of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that makes the Boolean expression StyleBox[\"expr\", \"TI\"] be True.\nRowBox[{\"SatisfiabilityInstances\", \"[\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] attempts to find StyleBox[\"m\", \"TI\"] choices of variables that yield True.", + "SatisfiableQ":"RowBox[{\"SatisfiableQ\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives True if a combination of values of variables exists that makes the Boolean function StyleBox[\"bf\", \"TI\"] yield True.\nRowBox[{\"SatisfiableQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives True if a combination of values of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] exists that makes the Boolean expression StyleBox[\"expr\", \"TI\"] yield True.", + "Saturday":"Saturday is a day of the week.", + "Save":"RowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"symbol\", \"TI\"]}], \"]\"}] appends definitions associated with the specified symbol to a file. \nRowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] appends definitions associated with all symbols whose names match the string pattern \"\nStyleBox[\"patt\", \"TI\"]\". \nRowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True]}], \"]\"}] appends definitions associated with all symbols in the specified context. \nRowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] appends definitions associated with several objects. ", + "Saveable":"Saveable is an option for notebooks that specifies whether a notebook can be saved.", + "SaveDefinitions":"SaveDefinitions is an option to Manipulate and related functions that specifies whether current definitions relevant for the evaluation of the expression being manipulated should automatically be saved.", + "SavitzkyGolayMatrix":"RowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a matrix corresponding to a smoothing kernel of radius StyleBox[\"r\", \"TI\"] for performing polynomial regression of degree StyleBox[\"k\", \"TI\"]. \nRowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a matrix for performing polynomial regression of degree SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]] over a window of radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]] along rows, and degree SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]] over a window of radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]] along columns.\nRowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a matrix for performing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] derivative of a polynomial regression of degree StyleBox[\"k\", \"TI\"].\nRowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]}]}], \" \", \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array using the specified parameters for each direction StyleBox[\"i\", \"TI\"].", + "SawtoothWave":"RowBox[{\"SawtoothWave\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a sawtooth wave that varies from 0 to 1 with unit period.\nRowBox[{\"SawtoothWave\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a sawtooth wave that varies from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"] with unit period.", + "Scale":"RowBox[{\"Scale\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents graphics primitives StyleBox[\"g\", \"TI\"] scaled by a factor StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Scale\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] scales with the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] kept fixed. \nRowBox[{\"Scale\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] scales by different factors along different axes. ", + "Scaled":"RowBox[{\"Scaled\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the position of a graphical object in terms of coordinates scaled to run from 0 to 1 across the whole plot range in each direction. \nRowBox[{\"Scaled\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position obtained by starting at ordinary coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], then moving by a scaled offset RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. ", + "ScaleDivisions":"ScaleDivisions is an option for gauge functions that specifies how many tick marks should be drawn on the scale.", + "ScaleOrigin":"ScaleOrigin is an option for gauge functions that describes how to position the scale on the gauge.", + "ScalePadding":"ScalePadding is an option for gauge functions that specifies how much space to leave around the scale.", + "ScaleRanges":"ScaleRanges is an option for gauge functions that describes how to draw sections of the scale.", + "ScaleRangeStyle":"ScaleRangeStyle is an option for gauge functions to describe how to style different sections of the scale.", + "ScalingFunctions":"ScalingFunctions is an option for ListPlot, BarChart, Histogram, and other plotting functions that specifies what scaling functions should be used. ", + "ScalingMatrix":"RowBox[{\"ScalingMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the matrix corresponding to scaling by a factor SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] along each coordinate axis.\nRowBox[{\"ScalingMatrix\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the matrix corresponding to scaling by a factor StyleBox[\"s\", \"TI\"] along the direction of the vector StyleBox[\"v\", \"TI\"].", + "ScalingTransform":"RowBox[{\"ScalingTransform\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a TransformationFunction that represents scaling by a factor SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] along each coordinate axis from the origin.\nRowBox[{\"ScalingTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives scaling centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"ScalingTransform\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives scaling by a factor StyleBox[\"s\", \"TI\"] along the direction of the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"ScalingTransform\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives scaling along the direction of StyleBox[\"v\", \"TI\"], centered at the point StyleBox[\"p\", \"TI\"].", + "Scan":"RowBox[{\"Scan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"f\", \"TI\"] applied to each element of StyleBox[\"expr\", \"TI\"] in turn. \nRowBox[{\"Scan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Scan\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Scan that can be applied to an expression.", + "ScheduledTask":"RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] represents a scheduled task to be evaluated on the schedule defined by StyleBox[\"timespec\", \"TI\"].", + "ScheduledTaskActiveQ":"RowBox[{\"ScheduledTaskActiveQ\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] yields True if StyleBox[\"obj\", \"TI\"] represents an active task, and False otherwise.", + "ScheduledTaskInformation":"RowBox[{\"ScheduledTaskInformation\", \"[\", StyleBox[\"cloudobj\", \"TI\"], \"]\"}] returns the properties of the ScheduledTask StyleBox[\"cloudobj\", \"TI\"].\nRowBox[{\"ScheduledTaskInformation\", \"[\", RowBox[{StyleBox[\"cloudobj\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property StyleBox[\"property\", \"TI\"].", + "ScheduledTaskObject":"RowBox[{\"ScheduledTaskObject\", \"[\", RowBox[{StyleBox[\"id\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a task object specifying future evaluation of StyleBox[\"expr\", \"TI\"] according to StyleBox[\"spec\", \"TI\"].", + "ScheduledTasks":"RowBox[{\"ScheduledTasks\", \"[\", \"]\"}] returns a list of ScheduledTaskObject and CloudObject expressions that represent current tasks.", + "SchurDecomposition":"RowBox[{\"SchurDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] yields the Schur decomposition for a numerical matrix StyleBox[\"m\", \"TI\"], given as a list RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"}\"}] where StyleBox[\"q\", \"TI\"] is an orthonormal matrix and StyleBox[\"t\", \"TI\"] is a block upper‐triangular matrix. \nRowBox[{\"SchurDecomposition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized Schur decomposition of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. ", + "ScientificForm":"RowBox[{\"ScientificForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with all real numbers in StyleBox[\"expr\", \"TI\"] given in scientific notation. \nRowBox[{\"ScientificForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with numbers given to StyleBox[\"n\", \"TI\"]‐digit precision. ", + "ScientificNotationThreshold":"ScientificNotationThreshold is an option for NumberForm and related functions that specifies the threshold between the use of decimal notation and scientific notation to represent real numbers.", + "ScorerGi":"RowBox[{\"ScorerGi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Scorer function RowBox[{\"Gi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "ScorerGiPrime":"RowBox[{\"ScorerGiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Scorer function RowBox[{SuperscriptBox[\"Gi\", \"′\", MultilineFunction -> None], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "ScorerHi":"RowBox[{\"ScorerHi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Scorer function RowBox[{\"Hi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "ScorerHiPrime":"RowBox[{\"ScorerHiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Scorer function RowBox[{SuperscriptBox[\"Hi\", \"′\", MultilineFunction -> None], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "ScreenRectangle":"ScreenRectangle is a global option that specifies the position of the screen by giving the coordinates of two diagonally opposite corners.", + "ScreenStyleEnvironment":"ScreenStyleEnvironment is an option for notebooks that specifies the style environment to be used in displaying a notebook on the screen. ", + "ScriptBaselineShifts":"ScriptBaselineShifts is an option for Style that specifies the minimum distance in StyleBox[\"x\", \"TI\"]‐heights to shift subscripts and superscripts. ", + "ScriptLevel":"ScriptLevel is an option for selections that is used in determining the font size of modifiers such as subscripts and superscripts in a nested expression.", + "ScriptMinSize":"ScriptMinSize is an option for Style which specifies the minimum font size to use in rendering subscripts, etc. ", + "ScriptSizeMultipliers":"ScriptSizeMultipliers is an option for Style that specifies how much smaller to render each successive level of subscripts, etc. ", + "Scrollbars":"Scrollbars is an option for Pane that specifies whether scrollbars should be displayed.", + "ScrollingOptions":"ScrollingOptions is an option for notebooks that specifies settings for scrolling.", + "ScrollPosition":"ScrollPosition is an option for Pane that specifies the scroll position of the contents of the pane.", + "SearchAdjustment":"RowBox[{\"SearchAdjustment\", \"[\", RowBox[{StyleBox[\"query\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a component of a search query that is to be treated as having weight StyleBox[\"w\", \"TI\"].\nRowBox[{\"SearchAdjustment\", \"[\", RowBox[{StyleBox[\"query\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] represents a component of a search query with certain options.", + "SearchIndexObject":"RowBox[{\"SearchIndexObject\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] represents a search index object, as created by CreateSearchIndex.\nRowBox[{\"SearchIndexObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the search index with the specified name in the RowBox[{\"SearchIndices\", \"[\", \"]\"}] list.", + "SearchIndices":"RowBox[{\"SearchIndices\", \"[\", \"]\"}] returns a list with all the locally stored instances of SearchIndexObject.", + "SearchQueryString":"RowBox[{\"SearchQueryString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a search engine-style query in TextSearch and related functions.", + "SearchResultObject":"RowBox[{\"SearchResultObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a result from RowBox[{\"TextSearch\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] and related functions.", + "Sec":"RowBox[{\"Sec\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the secant of StyleBox[\"z\", \"TI\"]. ", + "Sech":"RowBox[{\"Sech\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic secant of StyleBox[\"z\", \"TI\"]. ", + "SechDistribution":"RowBox[{\"SechDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents the hyperbolic secant distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"SechDistribution\", \"[\", \"]\"}] represents the hyperbolic secant distribution with location parameter 0 and scale parameter 1.", + "SectorChart":"RowBox[{\"SectorChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a sector chart with sector angles proportional to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and radii SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SectorChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a sector chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"SectorChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a sector chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SectorChart3D":"RowBox[{\"SectorChart3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D sector chart with sector angle proportional to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], radius SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], and height SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SectorChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D sector chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"SectorChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D sector chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "SectorOrigin":"SectorOrigin is an option to PieChart and related functions that specifies where sectors should start.", + "SectorSpacing":"SectorSpacing is an option to PieChart and related functions that specifies radial spacing of sectors. ", + "SecuredAuthenticationKey":"RowBox[{\"SecuredAuthenticationKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents a secured authentication key with credentials and details specified by the association StyleBox[\"assoc\", \"TI\"].", + "SecuredAuthenticationKeys":"RowBox[{\"SecuredAuthenticationKeys\", \"[\", \"]\"}] retrieves a list of all instances of SecuredAuthenticationKey owned by the currently connected user. \nRowBox[{\"SecuredAuthenticationKeys\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] retrieves a SecuredAuthenticationKey identified by \"StyleBox[\"name\", \"TI\"]\" owned by the currently connected user, if it exists.", + "SeedRandom":"RowBox[{\"SeedRandom\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] resets the pseudorandom generator, using StyleBox[\"n\", \"TI\"] as a seed. \nRowBox[{\"SeedRandom\", \"[\", \"]\"}] resets the generator, using as a seed the time of day and certain attributes of the current StyleBox[\"Wolfram System\", \"RebrandingTerm\"] session. ", + "Select":"RowBox[{\"Select\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] picks out all elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] of StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True. \nRowBox[{\"Select\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] picks out the first StyleBox[\"n\", \"TI\"] elements for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True. \nRowBox[{\"Select\", \"[\", StyleBox[\"crit\", \"TI\"], \"]\"}] represents an operator form of Select that can be applied to an expression. ", + "Selectable":"Selectable is an option for displayed objects, cells, and notebooks that specifies whether their contents can be selected interactively using the front end. ", + "SelectComponents":"RowBox[{\"SelectComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"lmat\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] selects components of StyleBox[\"image\", \"TI\"] indicated by the label matrix StyleBox[\"lmat\", \"TI\"] that satisfy StyleBox[\"crit\", \"TI\"], replacing other parts with black.\nRowBox[{\"SelectComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] selects connected components of StyleBox[\"image\", \"TI\"].\nRowBox[{\"SelectComponents\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" and selects the first StyleBox[\"n\", \"TI\"] in sorted order.\nRowBox[{\"SelectComponents\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] sorts computed properties using the ordering function StyleBox[\"p\", \"TI\"].", + "SelectedCells":"RowBox[{\"SelectedCells\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] returns a list of CellObject expressions corresponding to the currently selected cells in StyleBox[\"notebook\", \"TI\"].\nRowBox[{\"SelectedCells\", \"[\", \"]\"}] returns the currently selected cells in the notebook in which this function is being evaluated.", + "SelectedNotebook":"RowBox[{\"SelectedNotebook\", \"[\", \"]\"}] gives the currently selected notebook in the front end. ", + "SelectFirst":"RowBox[{\"SelectFirst\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] gives the first SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True, or RowBox[{\"Missing\", \"[\", StyleBox[\"\\\"NotFound\\\"\",ShowStringCharacters->True], \"]\"}] if none is found.\nRowBox[{\"SelectFirst\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if there is no SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] such that RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.\nRowBox[{\"SelectFirst\", \"[\", StyleBox[\"crit\", \"TI\"], \"]\"}] represents an operator form of SelectFirst that can be applied to an expression.", + "SelectionAnimate":"RowBox[{\"SelectionAnimate\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] animates graphics in the current selection in a notebook. \nRowBox[{\"SelectionAnimate\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] animates graphics for StyleBox[\"t\", \"TI\"] seconds. ", + "SelectionCreateCell":"RowBox[{\"SelectionCreateCell\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] copies the contents of the current selection in a notebook into a new cell. \nRowBox[{\"SelectionCreateCell\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] sets the current selection after the copy to be as specified by StyleBox[\"sel\", \"TI\"]. ", + "SelectionEvaluate":"RowBox[{\"SelectionEvaluate\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] replaces the current selection in a notebook with the result obtained by evaluating the contents of the selection in the kernel. \nRowBox[{\"SelectionEvaluate\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] sets the current selection after the evaluation to be as specified by StyleBox[\"sel\", \"TI\"]. ", + "SelectionEvaluateCreateCell":"RowBox[{\"SelectionEvaluateCreateCell\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] takes the current selection in a notebook and creates a new cell containing the result obtained by evaluating the contents of the selection using the kernel. \nRowBox[{\"SelectionEvaluateCreateCell\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] sets the current selection after the evaluation to be as specified by StyleBox[\"sel\", \"TI\"]. ", + "SelectionMove":"RowBox[{\"SelectionMove\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] moves the current selection in an open notebook in the front end in the direction StyleBox[\"dir\", \"TI\"] by the specified unit. \nRowBox[{\"SelectionMove\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] repeats the move StyleBox[\"n\", \"TI\"] times. ", + "SelfLoopStyle":"SelfLoopStyle is an option for GraphPlot and related functions that specifies how to draw self-loops that connect a vertex to itself.", + "SemanticImport":"RowBox[{\"SemanticImport\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] attempts to import a file semantically to give a Dataset object.\nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] attempts to interpret all elements in the file as being of the specified type.\nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to interpret elements in successive columns as being of the specified types. \nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] keeps only the columns SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] specified by their positions or names.\nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"typespec\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] puts the result in the specified form.", + "SemanticImportString":"RowBox[{\"SemanticImportString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to import a string semantically to give a Dataset object.\nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] attempts to interpret all elements in the string as being of the specified type.\nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to interpret elements in successive columns as being of the specified types. \nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] attempts to interpret elements in the named columns as being of the specified types.\nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"typespec\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] puts the result in the specified form.", + "SemanticInterpretation":"RowBox[{\"SemanticInterpretation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to give the best semantic interpretation of the specified free-form string as a Wolfram Language expression.\nRowBox[{\"SemanticInterpretation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] filters possible semantic interpretations, returning the best one that matches the specified pattern.\nRowBox[{\"SemanticInterpretation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"head\", \"TI\"]}], \"]\"}] returns the semantic interpretation wrapped with the specified head.", + "SemialgebraicComponentInstances":"RowBox[{\"SemialgebraicComponentInstances\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities StyleBox[\"ineqs\", \"TI\"] in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "SendMail":"RowBox[{\"SendMail\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] sends mail consisting of StyleBox[\"body\", \"TI\"] to the address specified by $WolframID.\nRowBox[{\"SendMail\", \"[\", RowBox[{\"{\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"subject\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"}\"}], \"]\"}] sends mail with the specified subject and no body.\nRowBox[{\"SendMail\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"subject\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"body\", \"TI\"]}], \"}\"}], \"]\"}] sends mail with the specified subject and body.\nRowBox[{\"SendMail\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"subject\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"att\", \"TI\"]}], \"}\"}], \"]\"}] sends mail with the attachment or attachments StyleBox[\"att\", \"TI\"].\nRowBox[{\"SendMail\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"to\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] sends mail to the specified To: address.\nRowBox[{\"SendMail\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] sends mail to multiple To: addresses.\nRowBox[{\"SendMail\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] includes the SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"i\", \"TI\"]] as Cc: addresses.\nRowBox[{\"SendMail\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"bcc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] also includes the SubscriptBox[StyleBox[\"bcc\", \"TI\"], StyleBox[\"i\", \"TI\"]] as Bcc: addresses.\nRowBox[{\"SendMail\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] sends mail with elements specified in the association StyleBox[\"assoc\", \"TI\"].", + "SendMessage":"RowBox[{\"SendMessage\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"message\", \"TI\"]}], \"]\"}] sends a message to the specified channel.\nRowBox[{\"SendMessage\", \"[\", RowBox[{RowBox[{StyleBox[\"channel\", \"TI\"], \"\", StyleBox[\"dest\", \"TI\"]}], \",\", StyleBox[\"message\", \"TI\"]}], \"]\"}] sends a message to the destination StyleBox[\"dest\", \"TI\"] through the specified channel.", + "Sequence":"RowBox[{\"Sequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a sequence of arguments to be spliced automatically into any function. ", + "SequenceAlignment":"RowBox[{\"SequenceAlignment\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds an optimal alignment of sequences of elements in the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], and yields a list of successive matching and differing sequences.", + "SequenceAttentionLayer":"RowBox[{\"SequenceAttentionLayer\", \"[\", \"]\"}] represents a trainable net layer that generates a sequence of weighted sums of its input vectors using a sequence of query vectors fed to it.\nRowBox[{\"SequenceAttentionLayer\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] computes each output using StyleBox[\"net\", \"TI\"] to weight the inputs.", + "SequenceCases":"RowBox[{\"SequenceCases\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the sublists in StyleBox[\"list\", \"TI\"] that match the sequence pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SequenceCases\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives a list of the values of StyleBox[\"rhs\", \"TI\"] corresponding to sublists that match StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SequenceCases\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] matches.", + "SequenceCount":"RowBox[{\"SequenceCount\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sub\", \"TI\"]}], \"]\"}] gives a count of the number of times StyleBox[\"sub\", \"TI\"] appears as a sublist of StyleBox[\"list\", \"TI\"].\nRowBox[{\"SequenceCount\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the number of sublists in StyleBox[\"list\", \"TI\"] that match the general sequence pattern StyleBox[\"patt\", \"TI\"]. ", + "SequenceFold":"RowBox[{\"SequenceFold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the last element of RowBox[{\"SequenceFoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}].\nRowBox[{\"SequenceFold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to StyleBox[\"k\", \"TI\"] arguments at each step, with the first StyleBox[\"n\", \"TI\"] coming from the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] or previous results, and the last RowBox[{StyleBox[\"k\", \"TI\"], \"-\", StyleBox[\"n\", \"TI\"]}] coming from the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SequenceFoldList":"RowBox[{\"SequenceFoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"SequenceFoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to StyleBox[\"k\", \"TI\"] arguments at each step, with the first StyleBox[\"n\", \"TI\"] coming from the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] or previous results, and the last RowBox[{StyleBox[\"k\", \"TI\"], \"-\", StyleBox[\"n\", \"TI\"]}] coming from the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "SequenceForm":"RowBox[{\"SequenceForm\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] prints as the textual concatenation of the printed forms of the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "SequenceHold":"SequenceHold is an attribute that specifies that Sequence objects appearing in the arguments of a function should not automatically be flattened out. ", + "SequenceLastLayer":"RowBox[{\"SequenceLastLayer\", \"[\", \"]\"}] represents a net that takes a sequence of inputs and returns the last element of the sequence.", + "SequenceMostLayer":"RowBox[{\"SequenceMostLayer\", \"[\", \"]\"}] represents a net that takes a sequence of inputs and removes its last element.", + "SequencePosition":"RowBox[{\"SequencePosition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sublist\", \"TI\"]}], \"]\"}] gives a list of the starting and ending positions at which StyleBox[\"sublist\", \"TI\"] appears in StyleBox[\"list\", \"TI\"].\nRowBox[{\"SequencePosition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives all positions at which sequences matching StyleBox[\"patt\", \"TI\"] occur in StyleBox[\"list\", \"TI\"].\nRowBox[{\"SequencePosition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] occurrences of StyleBox[\"patt\", \"TI\"].", + "SequencePredict":"RowBox[{\"SequencePredict\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"SequencePredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the sequences given.\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}] attempts to predict the next element in the sequence StyleBox[\"seq\", \"TI\"] from the training sequences given.\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives predictions for each of the sequences SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}] uses the built-in sequence predictor represented by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"seq\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] give the specified property of the prediction associated with StyleBox[\"seq\", \"TI\"].", + "SequencePredictorFunction":"RowBox[{\"SequencePredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by SequencePredict that predicts the next elements from a sequence.", + "SequenceReplace":"RowBox[{\"SequenceReplace\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] replaces sequences of StyleBox[\"list\", \"TI\"] by applying a rule or list of rules. \nRowBox[{\"SequenceReplace\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] does only the first StyleBox[\"n\", \"TI\"] replacements.\nRowBox[{\"SequenceReplace\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of SequenceReplace that can be applied to an expression.", + "SequenceRestLayer":"RowBox[{\"SequenceRestLayer\", \"[\", \"]\"}] represents a net that takes a sequence of inputs and removes its first element.", + "SequenceReverseLayer":"RowBox[{\"SequenceReverseLayer\", \"[\", \"]\"}] represents a net that reverses the order of an input sequence.", + "SequenceSplit":"RowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] splits StyleBox[\"list\", \"TI\"] into sublists separated by sequences that match the sequence pattern StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] inserts StyleBox[\"rhs\", \"TI\"] at the position of each matched sequence.\nRowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the position of each SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] splits into at most StyleBox[\"n\", \"TI\"] sublists.", + "Series":"RowBox[{\"Series\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] generates a power series expansion for StyleBox[\"f\", \"TI\"] about the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] to order SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"-\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \")\"}], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"Series\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"x\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] successively finds series expansions with respect to StyleBox[\"x\", \"TI\"], then StyleBox[\"y\", \"TI\"], etc. ", + "SeriesCoefficient":"RowBox[{\"SeriesCoefficient\", \"[\", RowBox[{StyleBox[\"series\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds the coefficient of the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"]-order term in a power series in the form generated by Series. \nRowBox[{\"SeriesCoefficient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] finds the coefficient of SuperscriptBox[RowBox[{\"(\", RowBox[{\"x\", \"-\", SubscriptBox[\"x\", \"0\"]}], \")\"}], \"n\"] in the expansion of StyleBox[\"f\", \"TI\"] about the point RowBox[{\"x\", \"=\", SubscriptBox[\"x\", \"0\"]}].\nRowBox[{\"SeriesCoefficient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"x\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds a coefficient in a multivariate series. ", + "SeriesData":"RowBox[{\"SeriesData\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"den\", \"TI\"]}], \"]\"}] represents a power series in the variable StyleBox[\"x\", \"TI\"] about the point SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]. The SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the coefficients in the power series. The powers of RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"-\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \")\"}] that appear are RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"\/\", StyleBox[\"den\", \"TI\"]}], RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"+\", \"1\"}], \")\"}], \"\/\", StyleBox[\"den\", \"TI\"]}], …, RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"\/\", StyleBox[\"den\", \"TI\"]}]. ", + "ServiceConnect":"RowBox[{\"ServiceConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"service\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a connection to an external service.\nRowBox[{\"ServiceConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"service\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"id\", \"TI\"]}], \"]\"}] uses the specified connection identifier.", + "ServiceDisconnect":"RowBox[{\"ServiceDisconnect\", \"[\", StyleBox[\"service\", \"TI\"], \"]\"}] disconnects from an external service specified by a ServiceObject.", + "ServiceExecute":"RowBox[{\"ServiceExecute\", \"[\", RowBox[{StyleBox[\"service\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"req\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] executes \"\nStyleBox[\"req\", \"TI\"]\" on an external service.\nRowBox[{\"ServiceExecute\", \"[\", RowBox[{StyleBox[\"service\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"req\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] executes \"\nStyleBox[\"req\", \"TI\"]\" with the specified settings for parameters.", + "ServiceObject":"RowBox[{\"ServiceObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"service\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an open connection to an external service.", + "SessionSubmit":"RowBox[{\"SessionSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits an asynchronous task to evaluate StyleBox[\"expr\", \"TI\"] in the current session.\nRowBox[{\"SessionSubmit\", \"[\", RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in the current session on the schedule defined by StyleBox[\"spec\", \"TI\"].", + "SessionTime":"RowBox[{\"SessionTime\", \"[\", \"]\"}] gives the total number of seconds of real time that have elapsed since the beginning of your StyleBox[\"Wolfram System\", \"RebrandingTerm\"] session. ", + "Set":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"=\", StyleBox[\"rhs\", \"TI\"]}] evaluates StyleBox[\"rhs\", \"TI\"] and assigns the result to be the value of StyleBox[\"lhs\", \"TI\"]. From then on, StyleBox[\"lhs\", \"TI\"] is replaced by StyleBox[\"rhs\", \"TI\"] whenever it appears. \nRowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"=\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] evaluates the SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]], and assigns the results to be the values of the corresponding SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "SetAccuracy":"RowBox[{\"SetAccuracy\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] yields a version of StyleBox[\"expr\", \"TI\"] in which all numbers have been set to have accuracy StyleBox[\"a\", \"TI\"]. ", + "SetAlphaChannel":"RowBox[{\"SetAlphaChannel\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adds a fully opaque alpha channel to StyleBox[\"image\", \"TI\"].\nRowBox[{\"SetAlphaChannel\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] sets the opacity of all pixels to StyleBox[\"a\", \"TI\"].\nRowBox[{\"SetAlphaChannel\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"aimage\", \"TI\"]}], \"]\"}] sets the alpha channel of StyleBox[\"image\", \"TI\"] to StyleBox[\"aimage\", \"TI\"].", + "SetAttributes":"RowBox[{\"SetAttributes\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"attr\", \"TI\"]}], \"]\"}] adds StyleBox[\"attr\", \"TI\"] to the list of attributes of the symbol StyleBox[\"s\", \"TI\"]. ", + "SetCloudDirectory":"RowBox[{\"SetCloudDirectory\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] sets the current working directory used for cloud objects to StyleBox[\"dir\", \"TI\"].\nRowBox[{\"SetCloudDirectory\", \"[\", \"]\"}] sets the current working directory for cloud objects to $CloudRootDirectory.", + "SetCookies":"RowBox[{\"SetCookies\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] sets a cookie with attributes specified by the association StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"SetCookies\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] sets a list of cookies.", + "SetDelayed":"RowBox[{StyleBox[\"lhs\", \"TI\"], \":=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the delayed value of StyleBox[\"lhs\", \"TI\"]. StyleBox[\"rhs\", \"TI\"] is maintained in an unevaluated form. When StyleBox[\"lhs\", \"TI\"] appears, it is replaced by StyleBox[\"rhs\", \"TI\"], evaluated afresh each time. ", + "SetDirectory":"RowBox[{\"SetDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] sets the current working directory to StyleBox[\"dir\", \"TI\"]. \nRowBox[{\"SetDirectory\", \"[\", \"]\"}] sets the current working directory to your \"home\" directory.", + "SetEnvironment":"RowBox[{\"SetEnvironment\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \"]\"}] sets the value of an operating system environment variable.\nRowBox[{\"SetEnvironment\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] sets values for several environment variables.", + "SetFileDate":"RowBox[{\"SetFileDate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] sets the modification and access dates for a file to be the current date. ", + "SetOptions":"RowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets the specified default options for a symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] or RowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets options associated with a particular stream. \nRowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"object\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets options associated with an external object such as a NotebookObject. ", + "SetPermissions":"RowBox[{\"SetPermissions\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pstring\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] sets permissions for the cloud object StyleBox[\"obj\", \"TI\"] to be as specified by the string StyleBox[\"pstring\", \"TI\"].\nRowBox[{\"SetPermissions\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{StyleBox[\"class\", \"TI\"], \"\", StyleBox[\"per\", \"TI\"]}]}], \"]\"}] sets permissions for the specified class of users to be StyleBox[\"per\", \"TI\"].\nRowBox[{\"SetPermissions\", \"[\", StyleBox[\"pers\", \"TI\"], \"]\"}] sets permissions as specified by StyleBox[\"pers\", \"TI\"] for the cloud object corresponding to the current document.", + "SetPrecision":"RowBox[{\"SetPrecision\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] yields a version of StyleBox[\"expr\", \"TI\"] in which all numbers have been set to have precision StyleBox[\"p\", \"TI\"]. ", + "SetProperty":"RowBox[{\"SetProperty\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[RowBox[{\"obj\", \",\", \"itemspec\"}], \"TI\"], StyleBox[\"}\", \"TI\"]}], \",\", RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] sets the property RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}] for StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].", + "SetSelectedNotebook":"RowBox[{\"SetSelectedNotebook\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] makes the notebook corresponding to StyleBox[\"obj\", \"TI\"] be the currently selected one in the front end.", + "SetSharedFunction":"RowBox[{\"SetSharedFunction\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] declares the symbols SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] as shared functions whose downvalues are synchronized among all parallel kernels.", + "SetSharedVariable":"RowBox[{\"SetSharedVariable\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] declares the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] as shared variables whose values are synchronized among all parallel kernels.", + "SetStreamPosition":"RowBox[{\"SetStreamPosition\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] sets the current point in an open stream. ", + "SetSystemModel":"RowBox[{\"SetSystemModel\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] changes StyleBox[\"model\", \"TI\"] parameters, initializations or other properties in place.", + "SetSystemOptions":"RowBox[{\"SetSystemOptions\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \"]\"}] resets the value for the internal system option with the specified name.", + "Setter":"RowBox[{\"Setter\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] represents a setter button whose setting StyleBox[\"x\", \"TI\"] is set to StyleBox[\"val\", \"TI\"] when the button is clicked. The button is labeled with StyleBox[\"val\", \"TI\"], and appears pressed if the value of StyleBox[\"x\", \"TI\"] is StyleBox[\"val\", \"TI\"], and unpressed otherwise.\nRowBox[{\"Setter\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the button is clicked.\nRowBox[{\"Setter\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] labels the setter button with StyleBox[\"label\", \"TI\"].\nRowBox[{\"Setter\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] represents a setter button that sets StyleBox[\"x\", \"TI\"] to SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]] if multiclicked StyleBox[\"n\", \"TI\"] times. ", + "SetterBar":"RowBox[{\"SetterBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a setter bar with setting StyleBox[\"x\", \"TI\"] and with setter buttons for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SetterBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset every time a setter button is clicked.\nRowBox[{\"SetterBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a setter bar in which the setter button giving value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] has label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SetterBoxOptions":"RowBox[{SetterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for SetterBox objects.", + "Setting":"RowBox[{\"Setting\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces forms and control objects such as sliders or popup menus in StyleBox[\"expr\", \"TI\"] by their settings.", + "SetUsers":"RowBox[{\"SetUsers\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] sets the members of the permissions group StyleBox[\"group\", \"TI\"] to be RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "Shading":"Shading is an option for SurfaceGraphics that specifies whether the surfaces should be shaded. ", + "Shallow":"RowBox[{\"Shallow\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a shallow form of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Shallow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"depth\", \"TI\"]}], \"]\"}] prints with all parts of StyleBox[\"expr\", \"TI\"] below the specified depth given in skeleton form. \nRowBox[{\"Shallow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"depth\", \"TI\"], \",\", StyleBox[\"length\", \"TI\"]}], \"}\"}]}], \"]\"}] also gives parts whose lengths are above the specified limit in skeleton form. \nRowBox[{\"Shallow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"depth\", \"TI\"], \",\", StyleBox[\"length\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] uses skeleton form for any parts that match the pattern StyleBox[\"form\", \"TI\"]. ", + "ShannonWavelet":"RowBox[{\"ShannonWavelet\", \"[\", \"]\"}] represents the Shannon wavelet evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", \"10\"}], \",\", \"10\"}], \"}\"}]. \nRowBox[{\"ShannonWavelet\", \"[\", StyleBox[\"lim\", \"TI\"], \"]\"}] represents the Shannon wavelet evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", StyleBox[\"lim\", \"TI\"]}], \",\", StyleBox[\"lim\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]. ", + "ShapiroWilkTest":"RowBox[{\"ShapiroWilkTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Shapiro–Wilk test.\nRowBox[{\"ShapiroWilkTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Share":"RowBox[{\"Share\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] changes the way StyleBox[\"expr\", \"TI\"] is stored internally, to try and minimize the amount of memory used. \nRowBox[{\"Share\", \"[\", \"]\"}] tries to minimize the memory used to store all expressions. ", + "SharingList":"SharingList is an option for CloudObject and related constructs that specifies with whom the object has been shared.", + "Sharpen":"RowBox[{\"Sharpen\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a sharpened version of StyleBox[\"image\", \"TI\"].\nRowBox[{\"Sharpen\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives a version of StyleBox[\"image\", \"TI\"] sharpened over pixel radius StyleBox[\"r\", \"TI\"].", + "ShearingMatrix":"RowBox[{\"ShearingMatrix\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the matrix corresponding to shearing by StyleBox[\"θ\", \"TR\"] radians along the direction of the vector StyleBox[\"v\", \"TI\"], and normal to the vector StyleBox[\"n\", \"TI\"]. ", + "ShearingTransform":"RowBox[{\"ShearingTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a TransformationFunction that represents a shear by StyleBox[\"θ\", \"TR\"] radians along the direction of the vector StyleBox[\"v\", \"TI\"], normal to the vector StyleBox[\"n\", \"TI\"], and keeping the origin fixed.\nRowBox[{\"ShearingTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a shear that keeps the point StyleBox[\"p\", \"TI\"] fixed, rather than the origin.", + "ShellRegion":"RowBox[{\"ShellRegion\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a solid shell of a 3D region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ShellRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives a solid shell of StyleBox[\"reg\", \"TI\"] with minimal thickness StyleBox[\"t\", \"TI\"].", + "ShenCastanMatrix":"RowBox[{\"ShenCastanMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix that corresponds to an exponential kernel of radius StyleBox[\"r\", \"TI\"]. \nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \"]\"}] gives a matrix corresponding to an exponential kernel with radius StyleBox[\"r\", \"TI\"] and region of support specified by StyleBox[\"σ\", \"TR\"].\nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a matrix formed from the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative of the exponential with respect to rows and the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative with respect to columns.\nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a matrix formed from the sums of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]] derivatives.\nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array corresponding to an exponential kernel with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", + "ShiftedGompertzDistribution":"RowBox[{\"ShiftedGompertzDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a shifted Gompertz distribution with scale parameter StyleBox[\"λ\", \"TR\"] and shape parameter StyleBox[\"ξ\", \"TR\"].", + "ShiftRegisterSequence":"RowBox[{\"ShiftRegisterSequence\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a complete maximum-length sequence for a size StyleBox[\"n\", \"TI\"] linear-feedback shift register.\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] gives the complete sequence for a linear-feedback shift register with size StyleBox[\"n\", \"TI\"] and taps at positions SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ShiftRegisterSequence\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives the sequence for a linear-feedback shift register with feedback polynomial StyleBox[\"poly\", \"TI\"].\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}], \"]\"}] gives the sequence for a shift register with feedback function StyleBox[\"f\", \"TI\"].\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"s\", \"TI\"] elements of the shift register sequence.\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the shift register sequence starting from state StyleBox[\"init\", \"TI\"].", + "Short":"RowBox[{\"Short\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a short form of StyleBox[\"expr\", \"TI\"], less than about one line long. \nRowBox[{\"Short\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints as a form of StyleBox[\"expr\", \"TI\"] about StyleBox[\"n\", \"TI\"] lines long. ", + "ShortDownArrow":"RowBox[{\"ShortDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", + "Shortest":"RowBox[{\"Shortest\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that matches the shortest sequence consistent with the pattern StyleBox[\"p\", \"TI\"]. ", + "ShortestMatch":"RowBox[{\"ShortestMatch\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a string pattern object matching the shortest sequence of characters consistent with the string pattern StyleBox[\"p\", \"TI\"].", + "ShortestPathFunction":"RowBox[{\"ShortestPathFunction\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a function that gives the shortest path from a source vertex StyleBox[\"s\", \"TI\"] to target vertex StyleBox[\"t\", \"TI\"] in a graph.", + "ShortLeftArrow":"RowBox[{\"ShortLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", + "ShortRightArrow":"RowBox[{\"ShortRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", + "ShortUpArrow":"RowBox[{\"ShortUpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", + "Show":"RowBox[{\"Show\", \"[\", RowBox[{StyleBox[\"graphics\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] shows graphics with the specified options added. \nRowBox[{\"Show\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] shows several graphics combined. ", + "ShowAutoSpellCheck":"ShowAutoSpellCheck is an option for Cell that specifies whether to highlight misspelled words.", + "ShowAutoStyles":"ShowAutoStyles is an option for Cell that specifies whether styles that are specified to be automatically used for various syntactic and other constructs should be shown. ", + "ShowCellBracket":"ShowCellBracket is an option for Cell that specifies whether to display the bracket that indicates the extent of the cell. ", + "ShowCellLabel":"ShowCellLabel is an option for Cell that specifies whether to display the label for a cell. ", + "ShowCellTags":"ShowCellTags is an option for Cell that specifies whether to display tags for a cell. ", + "ShowClosedCellArea":"ShowClosedCellArea is an option for cells that specifies whether a rectangular bar is displayed next to a closed cell group to indicate the number of cells in the group.", + "ShowContents":"ShowContents is an option for selections that specifies whether an object represented by a StyleBox should be displayed on the screen or replaced by blank space.", + "ShowCursorTracker":"ShowCursorTracker is an option for Cell that specifies whether an elliptical spot should appear momentarily to guide the eye if the cursor position jumps. ", + "ShowGroupOpenCloseIcon":"ShowGroupOpenCloseIcon is an option for cells that specifies whether a triangular icon is displayed next to the leading cell in a cell group to indicate whether the cell group is open or closed.", + "ShowGroupOpener":"ShowGroupOpener is an option for cells that specifies whether an opener icon is displayed next to the leading cell in a cell group to indicate whether the cell group is open or closed.", + "ShowPageBreaks":"ShowPageBreaks is a notebook option that specifies whether to indicate in the on‐screen display of a notebook where page breaks would occur if the notebook were printed. ", + "ShowSelection":"ShowSelection is an option to Notebook, Cell, and Style that specifies whether to show the current selection highlighted. ", + "ShowShortBoxForm":"ShowShortBoxForm is an option for cells that specifies whether box expressions, which are used to represent two-dimensional forms in a cell, are displayed in a more compact notation when the expression for that cell is viewed.", + "ShowStringCharacters":"ShowStringCharacters is an option for Cell that specifies whether to display \" when a string is entered. ", + "ShrinkingDelay":"ShrinkingDelay is an option for dynamic objects that specifies how long to delay before shrinking the size of the region in which the object is displayed to the actual size of the object. ", + "SiderealTime":"RowBox[{\"SiderealTime\", \"[\", \"]\"}] gives the right ascension of the local meridian for the current date and location.\nRowBox[{\"SiderealTime\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the right ascension of the local meridian for the specified date.\nRowBox[{\"SiderealTime\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the right ascension of the local meridian for the specified location.\nRowBox[{\"SiderealTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the right ascension of the local meridian for the specified date and location.\nRowBox[{\"SiderealTime\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the right ascensions of the local meridians for all specified locations on the specified dates.\nRowBox[{\"SiderealTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", + "SiegelTheta":"RowBox[{\"SiegelTheta\", \"[\", RowBox[{StyleBox[\"Ω\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Siegel theta function RowBox[{\"Θ\", \" \", RowBox[{\"(\", RowBox[{StyleBox[\"Ω\", \"TR\"], \",\", \"s\"}], \")\"}]}] with Riemann modular matrix StyleBox[\"Ω\", \"TR\"] and vector StyleBox[\"s\", \"TI\"].\nRowBox[{\"SiegelTheta\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ν\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ν\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"Ω\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Siegel theta function RowBox[{RowBox[{\"Θ\", \" \", \"[\", RowBox[{SubscriptBox[\"ν\", \"1\"], \",\", SubscriptBox[\"ν\", \"2\"]}], \"]\"}], RowBox[{\"(\", \" \", RowBox[{StyleBox[\"Ω\", \"TR\"], \",\", \"s\"}], \")\"}]}] with characteristics StyleBox[SubscriptBox[StyleBox[\"ν\", \"TR\"], \"1\"], \"TR\"] and StyleBox[SubscriptBox[StyleBox[\"ν\", \"TR\"], \"2\"], \"TR\"].", + "SiegelTukeyTest":"RowBox[{\"SiegelTukeyTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"SiegelTukeyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure againstRowBox[{\" \", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}].\nRowBox[{\"SiegelTukeyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "SierpinskiCurve":"RowBox[{\"SierpinskiCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Sierpiński curve.", + "SierpinskiMesh":"RowBox[{\"SierpinskiMesh\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a mesh region representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Sierpiński triangle. \nRowBox[{\"SierpinskiMesh\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Sierpiński sponge in dimension StyleBox[\"d\", \"TI\"].", + "Sign":"RowBox[{\"Sign\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives RowBox[{\"-\", \"1\"}], 0, or 1 depending on whether StyleBox[\"x\", \"TI\"] is negative, zero, or positive. ", + "Signature":"RowBox[{\"Signature\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the signature of the permutation needed to place the elements of StyleBox[\"list\", \"TI\"] in canonical order. ", + "SignedRankTest":"RowBox[{\"SignedRankTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the median of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"SignedRankTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the median of RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"-\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] is zero.\nRowBox[{\"SignedRankTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"]}], \"]\"}] tests a location measure against StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"].\nRowBox[{\"SignedRankTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "SignedRegionDistance":"RowBox[{\"SignedRegionDistance\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the minimum distance from the point StyleBox[\"p\", \"TI\"] to the region StyleBox[\"reg\", \"TI\"] if StyleBox[\"p\", \"TI\"] is outside the region and the minimum distance to the complement of StyleBox[\"reg\", \"TI\"] if StyleBox[\"p\", \"TI\"] is inside the region.\nRowBox[{\"SignedRegionDistance\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a RowBox[{\"RegionDistanceFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different points.", + "SignificanceLevel":"SignificanceLevel is an option to VarianceTest and similar functions that controls cutoffs for diagnostic tests as well as test conclusions. ", + "SignPadding":"SignPadding is an option for NumberForm and related functions that specifies whether padding should be inserted after signs. ", + "SignTest":"RowBox[{\"SignTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the median of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"SignTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the median of RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"–\", \" \", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] is zero.\nRowBox[{\"SignTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"]}], \"]\"}] tests a location measure against StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"].\nRowBox[{\"SignTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "SimilarityRules":"SimilarityRules is an option for functions such as SequenceAlignment that gives a list of rules for similarity scores to assume between pairs of elements.", + "SimpleGraph":"RowBox[{\"SimpleGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the underlying simple graph from the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"SimpleGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "SimpleGraphQ":"RowBox[{\"SimpleGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a simple graph and False otherwise.", + "Simplex":"RowBox[{\"Simplex\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] represents the simplex spanned by points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Simplify":"RowBox[{\"Simplify\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] performs a sequence of algebraic and other transformations on StyleBox[\"expr\", \"TI\"] and returns the simplest form it finds. \nRowBox[{\"Simplify\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] does simplification using assumptions. ", + "Sin":"RowBox[{\"Sin\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the sine of StyleBox[\"z\", \"TI\"]. ", + "Sinc":"RowBox[{\"Sinc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives RowBox[{\"sinc\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "SinghMaddalaDistribution":"RowBox[{\"SinghMaddalaDistribution\", \"[\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents the Singh–Maddala distribution with shape parameters StyleBox[\"q\", \"TI\"] and StyleBox[\"a\", \"TI\"] and scale parameter StyleBox[\"b\", \"TI\"].", + "SingleLetterItalics":"SingleLetterItalics is an option for Cell that specifies whether single‐letter names should be displayed in italics. ", + "SingularValueDecomposition":"RowBox[{\"SingularValueDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the singular value decomposition for a numerical matrix StyleBox[\"m\", \"TI\"] as a list of matrices RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], where StyleBox[\"w\", \"TI\"] is a diagonal matrix and StyleBox[\"m\", \"TI\"] can be written as RowBox[{StyleBox[\"u\", \"TI\"], \".\", StyleBox[\"w\", \"TI\"], \".\", RowBox[{\"Conjugate\", \"[\", RowBox[{\"Transpose\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}], \"]\"}]}]. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized singular value decomposition of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the singular value decomposition associated with the StyleBox[\"k\", \"TI\"] largest singular values of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", RowBox[{\"UpTo\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}]}], \"]\"}] gives the decomposition for the StyleBox[\"k\", \"TI\"] largest singular values, or as many as are available. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the generalized singular value decomposition associated with the StyleBox[\"k\", \"TI\"] largest singular values.", + "SingularValueList":"RowBox[{\"SingularValueList\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of the nonzero singular values of a matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"SingularValueList\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized singular values of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"SingularValueList\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"] largest singular values of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"SingularValueList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"] largest generalized singular values of StyleBox[\"m\", \"TI\"].", + "SingularValuePlot":"RowBox[{\"SingularValuePlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a plot of the singular values of the transfer function for the system StyleBox[\"lsys\", \"TI\"]. \nRowBox[{\"SingularValuePlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SingularValuePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", + "SingularValues":"RowBox[{\"SingularValues\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the singular value decomposition for a numerical matrix StyleBox[\"m\", \"TI\"]StyleBox[\".\", \"TI\", FontSlant -> \"Plain\"] The result is a list RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], where StyleBox[\"w\", \"TI\"] is the list of singular values, and StyleBox[\"m\", \"TI\"] can be written as RowBox[{RowBox[{\"Conjugate\", \"[\", RowBox[{\"Transpose\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \"]\"}], \".\", \" \", RowBox[{\"DiagonalMatrix\", \"[\", StyleBox[\"w\", \"TI\"], \"]\"}], \".\", StyleBox[\"v\", \"TI\"]}].", + "Sinh":"RowBox[{\"Sinh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic sine of StyleBox[\"z\", \"TI\"]. ", + "SinhIntegral":"RowBox[{\"SinhIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic sine integral function RowBox[{\"Shi\", \"(\", \"z\", \")\"}]. ", + "SinIntegral":"RowBox[{\"SinIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the sine integral function RowBox[{\"Si\", \"(\", StyleBox[\"z\", \"TI\"]}]). ", + "SixJSymbol":"RowBox[{\"SixJSymbol\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"4\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"5\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"6\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the values of the Racah 6‐StyleBox[\"j\", \"TI\"] symbol. ", + "Skeleton":"RowBox[{\"Skeleton\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a sequence of StyleBox[\"n\", \"TI\"] omitted elements in an expression printed with Short or Shallow. The standard print form for Skeleton is RowBox[{\"\", StyleBox[\"n\", \"TI\"], \"\"}]. ", + "SkeletonTransform":"RowBox[{\"SkeletonTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the skeleton transform of StyleBox[\"image\", \"TI\"], in which the value of each skeleton pixel is its distance to the nearest background pixel.\nRowBox[{\"SkeletonTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "SkellamDistribution":"RowBox[{\"SkellamDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] represents a Skellam distribution with shape parameters SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "Skewness":"RowBox[{\"Skewness\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the coefficient of skewness for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Skewness\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the coefficient of skewness for the distribution StyleBox[\"dist\", \"TI\"].", + "SkewNormalDistribution":"RowBox[{\"SkewNormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] represents a skew-normal distribution with shape parameter StyleBox[\"α\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].", + "SkinStyle":"SkinStyle is an option of AnatomyPlot3D that specifies what style to use for automatically included skin subparts.", + "Skip":"RowBox[{\"Skip\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] skips one object of the specified type in an input stream. \nRowBox[{\"Skip\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] skips StyleBox[\"n\", \"TI\"] objects of the specified type. ", + "SliceContourPlot3D":"RowBox[{\"SliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a contour plot of StyleBox[\"f\", \"TI\"] over the slice surface StyleBox[\"surf\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"SliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] restricts the surface to be within region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"SliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates contour plots over several slices. ", + "SliceDensityPlot3D":"RowBox[{\"SliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a density plot of StyleBox[\"f\", \"TI\"] over the slice surface StyleBox[\"surf\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"SliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] restricts the surface to be within region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"SliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates density plots over several slices. ", + "SliceDistribution":"RowBox[{\"SliceDistribution\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the distribution of the process state at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"SliceDistribution\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the joint distribution of process states at times RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"<\", \"⋯\", \"<\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]]}].", + "SliceVectorPlot3D":"RowBox[{\"SliceVectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a vector plot of the field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}] over the slice surface StyleBox[\"surf\", \"TI\"]. \nRowBox[{\"SliceVectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] restricts the surface StyleBox[\"surf\", \"TI\"] to be within the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"SliceVectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates vector plots over several slice surfaces SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "Slider":"RowBox[{\"Slider\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a slider with setting StyleBox[\"x\", \"TI\"] in the range 0 to 1. \nRowBox[{\"Slider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the slider is moved. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a slider with range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a slider that jumps in steps StyleBox[\"dx\", \"TI\"]. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] represents a slider in which equally spaced intervals correspond to successive settings SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses intervals of relative widths SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "Slider2D":"RowBox[{\"Slider2D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] represents a 2D slider with settings StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] in the range 0 to 1. \nRowBox[{\"Slider2D\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"pt\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"pt\", \"TI\"], with the value of StyleBox[\"pt\", \"TI\"] being reset if the slider is moved. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a 2D slider with range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"] in each direction. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a 2D slider that jumps in steps StyleBox[\"d\", \"TI\"] in each direction. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] specifies different ranges in StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] directions. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses jumps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"].", + "Slider2DBoxOptions":"RowBox[{Slider2DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Slider2DBox objects.", + "SliderBoxOptions":"RowBox[{SliderBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for SliderBox objects.", + "SlideView":"RowBox[{\"SlideView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] are set up to be displayed on successive slides. \nRowBox[{\"SlideView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] slide be the one currently displayed.", + "Slot":"# represents the first argument supplied to a pure function. \nStyleBox[RowBox[{\"#\", StyleBox[\"n\", \"TI\"]}]] represents the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] argument. \nStyleBox[RowBox[{\"#\", StyleBox[\"name\", \"TI\"]}]] represents the value associated with key \"StyleBox[\"name\", \"TI\"]\" in an association in the first argument. ", + "Small":"Small is a style or option setting that specifies that objects should be small.", + "SmallCircle":"RowBox[{\"SmallCircle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∘\", StyleBox[\"y\", \"TI\"], \"∘\", StyleBox[\"…\", \"TR\"]}].", + "Smaller":"Smaller is a style or option setting that specifies that objects should be smaller.", + "SmithDecomposition":"RowBox[{\"SmithDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Smith normal form decomposition of an integer matrix StyleBox[\"m\", \"TI\"].", + "SmithDelayCompensator":"RowBox[{\"SmithDelayCompensator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"con\", \"TI\"]}], \"]\"}] gives the Smith compensator for the time-delay system StyleBox[\"sys\", \"TI\"] and the delay-free controller StyleBox[\"con\", \"TI\"].", + "SmithWatermanSimilarity":"RowBox[{\"SmithWatermanSimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a number representing the Smith–Waterman similarity between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "SmoothDensityHistogram":"RowBox[{\"SmoothDensityHistogram\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a smooth kernel histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"SmoothDensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"SmoothDensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"].", + "SmoothHistogram":"RowBox[{\"SmoothHistogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a smooth kernel histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"SmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"]. \nRowBox[{\"SmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots smooth kernel histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SmoothHistogram3D":"RowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a 3D smooth kernel histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a 3D smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"].\nRowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots smooth kernel histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SmoothKernelDistribution":"RowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a smooth kernel distribution based on the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate smooth kernel distribution based on the data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"]}], \"]\"}] represents a smooth kernel distribution with bandwidth StyleBox[\"bw\", \"TI\"].\nRowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] represents a smooth kernel distribution with bandwidth StyleBox[\"bw\", \"TI\"] and smoothing kernel StyleBox[\"ker\", \"TI\"].", + "SnDispersion":"RowBox[{\"SnDispersion\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the SubscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"SnDispersion\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic with scaling factor StyleBox[\"c\", \"TI\"].", + "Snippet":"RowBox[{\"Snippet\", \"[\", StyleBox[\"doc\", \"TI\"], \"]\"}] gives a snippet of text from a document or other content object.\nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives about StyleBox[\"n\", \"TI\"] lines from the beginning. \nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives about StyleBox[\"n\", \"TI\"] lines from the end.\nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] gives a span from lines SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]\nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"3\", \"TR\"]]}]}], \"]\"}] gives a span from lines SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] in steps of SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"3\", \"TR\"]].\nRowBox[{\"Snippet\", \"[\", RowBox[{RowBox[{\"ContentObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", RowBox[{\"SearchResultObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}]}], \"]\"}] gives contextual snippets from a content object based on search results.", + "SocialMediaData":"RowBox[{\"SocialMediaData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives information about the social media entity \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SocialMediaData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the social media entity \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SocialMediaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"id\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of a property for the specified identifier StyleBox[\"id\", \"TI\"].", + "Socket":"Socket is a possible value returned by FileType and related functions.", + "SocketConnect":"RowBox[{\"SocketConnect\", \"[\", StyleBox[\"address\", \"TI\"], \"]\"}] makes a socket connection to the TCP host at the specified address and returns a SocketObject representing the connection.\nRowBox[{\"SocketConnect\", \"[\", RowBox[{StyleBox[\"address\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"protocol\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] makes a connection to the host at StyleBox[\"address\", \"TI\"] with the specified protocol.\nRowBox[{\"SocketConnect\", \"[\", StyleBox[\"socket\", \"TI\"], \"]\"}] makes a connection to a local socket opened in the current session.", + "SocketListen":"RowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"socket\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] starts listening on the specified socket, asynchronously applying StyleBox[\"fun\", \"TI\"] whenever data is received on the socket.\nRowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"port\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] starts listening for active connections on the specified port of 127.0.0.1.\nRowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"address\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] starts listening for active connections on the specified address StyleBox[\"address\", \"TI\"] on the local machine.\nRowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] starts listening for active connections defined by StyleBox[\"spec\", \"TI\"] using the options StyleBox[\"opts\", \"TI\"].\nRowBox[{\"SocketListen\", \"[\", StyleBox[\"spec\", \"TI\"], StyleBox[\"]\", \"TI\"]}] starts listening for active connections defined by StyleBox[\"spec\", \"TI\"], but does not set up handler functions, etc.", + "SocketListener":"RowBox[{\"SocketListener\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a socket listener created by SocketListen.", + "SocketObject":"RowBox[{\"SocketObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a network socket connection.", + "SocketOpen":"RowBox[{\"SocketOpen\", \"[\", StyleBox[\"port\", \"TI\"], \"]\"}] opens a socket that accepts TCP connections to localhost:StyleBox[\"port\", \"TI\"] and returns a SocketObject representing the socket.\nRowBox[{\"SocketOpen\", \"[\", StyleBox[\"address\", \"TI\"], \"]\"}] opens a socket that accepts TCP connections to the specified local address. \nRowBox[{\"SocketOpen\", \"[\", RowBox[{StyleBox[\"address\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"protocol\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] opens a socket that accepts connections with the specified protocol.", + "SocketReadMessage":"RowBox[{\"SocketReadMessage\", \"[\", StyleBox[\"socket\", \"TI\"], \"]\"}] reads the next available message on the specified socket, returning it as a byte array.", + "SocketReadyQ":"RowBox[{\"SocketReadyQ\", \"[\", StyleBox[\"socket\", \"TI\"], \"]\"}] tests if there is any data immediately available to read from the specified socket. \nRowBox[{\"SocketReadyQ\", \"[\", RowBox[{StyleBox[\"socket\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] waits for up to StyleBox[\"t\", \"TI\"] seconds to see if data becomes available to read.", + "Sockets":"RowBox[{\"Sockets\", \"[\", \"]\"}] returns all active socket connections initiated by your current Wolfram Language session.\nRowBox[{\"Sockets\", \"[\", \"All\", \"]\"}] returns all sockets connected to your current session, including remote sockets originating outside your current session.\nRowBox[{\"Sockets\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns only sockets specified by StyleBox[\"spec\", \"TI\"].", + "SocketWaitAll":"RowBox[{\"SocketWaitAll\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] waits until there is data ready to read on all of the SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SocketWaitNext":"RowBox[{\"SocketWaitNext\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] waits until there is data ready to read on any of the SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"i\", \"TI\"]], then returns that socket.", + "SoftmaxLayer":"RowBox[{\"SoftmaxLayer\", \"[\", \"]\"}] represents a softmax net layer.\nRowBox[{\"SoftmaxLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a softmax net layer that uses level StyleBox[\"n\", \"TI\"] as the normalization dimension.", + "SokalSneathDissimilarity":"RowBox[{\"SokalSneathDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Sokal–Sneath dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "SolarEclipse":"RowBox[{\"SolarEclipse\", \"[\", \"]\"}] gives the time of the next solar eclipse.\nRowBox[{\"SolarEclipse\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the time for the next solar eclipse after the specified date.\nRowBox[{\"SolarEclipse\", \"[\", StyleBox[\"propertyspec\", \"TI\"], \"]\"}] gives the specified property value for the next solar eclipse.\nRowBox[{\"SolarEclipse\", \"[\", RowBox[{StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"propertyspec\", \"TI\"]}], \"]\"}] gives the specified property value for the next solar eclipse after the specified date.", + "SolarSystemFeatureData":"RowBox[{\"SolarSystemFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the solar system feature StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SolarSystemFeatureData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified feature entities.\nRowBox[{\"SolarSystemFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "SolidData":"RowBox[{\"SolidData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the solid StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SolidData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified solid entities.\nRowBox[{\"SolidData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "SolidRegionQ":"RowBox[{\"SolidRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if the 3D region StyleBox[\"reg\", \"TI\"] is a solid region and False otherwise.", + "Solve":"RowBox[{\"Solve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] attempts to solve the system StyleBox[\"expr\", \"TI\"] of equations or inequalities for the variables StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"Solve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] solves over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Reals, Integers, and Complexes.", + "SolveAlways":"RowBox[{\"SolveAlways\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] gives the values of parameters that make the equations StyleBox[\"eqns\", \"TI\"] valid for all values of the variables StyleBox[\"vars\", \"TI\"]. ", + "SolveDelayed":"SolveDelayed is an option to NDSolve. RowBox[{\"SolveDelayed\", \" \", \"->\", \" \", \"False\"}] causes the derivatives to be solved for symbolically at the beginning. RowBox[{\"SolveDelayed\", \" \", \"->\", \" \", \"True\"}] causes the ODEs to be evaluated numerically and the derivatives solved for at each step.", + "Sort":"RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into canonical order. \nRowBox[{\"Sort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] sorts using the ordering function StyleBox[\"p\", \"TI\"]. ", + "SortBy":"RowBox[{\"SortBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] in the order defined by applying StyleBox[\"f\", \"TI\"] to each of them. \nRowBox[{\"SortBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of SortBy that can be applied to an expression.", + "Sound":"RowBox[{\"Sound\", \"[\", StyleBox[\"primitives\", \"TI\"], \"]\"}] represents a sound. \nRowBox[{\"Sound\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] specifies that the sound should have duration StyleBox[\"t\", \"TI\"].\nRowBox[{\"Sound\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] specifies that the sound should extend from time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "SoundNote":"RowBox[{\"SoundNote\", \"[\", StyleBox[\"pitch\", \"TI\"], \"]\"}] represents a music-like sound note with the specified pitch.\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] takes the note to have duration StyleBox[\"t\", \"TI\"].\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the note to occupy the time interval SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] takes the note to be in the specified style.\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] uses the specified rendering options for the note.", + "SoundVolume":"SoundVolume is an option to Sound and SoundNote and related functions that specifies the relative volume of the sound produced.", + "SourceLink":"SourceLink is an option for CloudObject and related constructs that specifies the source of the content given.", + "Sow":"RowBox[{\"Sow\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] specifies that StyleBox[\"e\", \"TI\"] should be collected by the nearest enclosing Reap. \nRowBox[{\"Sow\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] specifies that StyleBox[\"e\", \"TI\"] should be collected by the nearest enclosing Reap whose pattern matches StyleBox[\"tag\", \"TI\"]. \nRowBox[{\"Sow\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies that StyleBox[\"e\", \"TI\"] should be collected once for each pattern that matches a SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "SpaceCurveData":"RowBox[{\"SpaceCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the space curve StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SpaceCurveData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified space curve entities.\nRowBox[{\"SpaceCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "SpaceForm":"RowBox[{\"SpaceForm\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] prints as StyleBox[\"n\", \"TI\"] spaces.", + "Spacer":"RowBox[{\"Spacer\", \"[\", StyleBox[\"w\", \"TI\"], \"]\"}] displays as a spacer StyleBox[\"w\", \"TI\"] printer's points wide.\nRowBox[{\"Spacer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] displays as a spacer StyleBox[\"w\", \"TI\"] points wide and a total of StyleBox[\"h\", \"TI\"] points high.\nRowBox[{\"Spacer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"dh\", \"TI\"]}], \"}\"}], \"]\"}] makes the spacer extend StyleBox[\"dh\", \"TI\"] points below the baseline. ", + "Spacings":"Spacings is an option to Grid and related constructs that specifies the spacings to leave between successive objects.", + "Span":"RowBox[{StyleBox[\"i\", \"TI\"], \";;\", StyleBox[\"j\", \"TI\"]}] represents a span of elements StyleBox[\"i\", \"TI\"] through StyleBox[\"j\", \"TI\"].\nRowBox[{StyleBox[\"i\", \"TI\"], \";;\"}] represents a span from StyleBox[\"i\", \"TI\"] to the end.\nRowBox[{\";;\", StyleBox[\"j\", \"TI\"]}] represents a span from the beginning to StyleBox[\"j\", \"TI\"].\n;; represents a span that includes all elements.\nRowBox[{StyleBox[\"i\", \"TI\"], \";;\", StyleBox[\"j\", \"TI\"], \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from StyleBox[\"i\", \"TI\"] through StyleBox[\"j\", \"TI\"] in steps of StyleBox[\"k\", \"TI\"].\nRowBox[{StyleBox[\"i\", \"TI\"], \";;\", \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from StyleBox[\"i\", \"TI\"] to the end in steps of StyleBox[\"k\", \"TI\"].\nRowBox[{\";;\", StyleBox[\"j\", \"TI\"], \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from the beginning to StyleBox[\"j\", \"TI\"] in steps of StyleBox[\"k\", \"TI\"].\nRowBox[{\";;\", \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from the beginning to the end in steps of StyleBox[\"k\", \"TI\"]. ", + "SpanAdjustments":"SpanAdjustments is an option for selections that specifies the height and width of spanning characters.", + "SpanCharacterRounding":"SpanCharacterRounding is an option for selections that specifies the method used for rounding a spanning character when its size is to be adjusted.", + "SpanFromAbove":"SpanFromAbove is a symbol that can appear at a particular position in a Grid or related construct to indicate that the corresponding position is occupied by a spanning element that appears above it.", + "SpanFromBoth":"SpanFromBoth is a symbol that can appear at a particular position in a Grid or related construct to indicate that the corresponding position is occupied by a spanning element that appears above and to its left.", + "SpanFromLeft":"SpanFromLeft is a symbol that can appear at a particular position in a Grid or related construct to indicate that the corresponding position is occupied by a spanning element that appears to its left.", + "SpanLineThickness":"SpanLineThickness is an option for selections that specifies the thickness in printer's points of line-spanning characters such as ∖[VerticalLine] and ∖[HorizontalLine].", + "SpanMaxSize":"SpanMaxSize is an option for selections that specifies the maximum size of spanning characters such as parentheses and brackets.", + "SpanMinSize":"SpanMinSize is an option for selections that specifies the minimum size of spanning characters such as parentheses and brackets.", + "SpanSymmetric":"SpanSymmetric is an option for selections that specifies whether vertically expandable characters are symmetric about the axis of the selection.", + "SparseArray":"RowBox[{\"SparseArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a sparse array in which values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] appear at positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"SparseArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the same sparse array. \nRowBox[{\"SparseArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] yields a sparse array version of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"SparseArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a sparse array representing a RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}] array. \nRowBox[{\"SparseArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] yields a sparse array in which unspecified elements are taken to have value StyleBox[\"val\", \"TI\"]. ", + "SpatialGraphDistribution":"RowBox[{\"SpatialGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a spatial distribution for graphs with StyleBox[\"n\", \"TI\"] vertices uniformly distributed over the unit square and edges between vertices that are at distance at most StyleBox[\"r\", \"TI\"].\nRowBox[{\"SpatialGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] represents a spatial distribution for graphs with vertices uniformly distributed over the StyleBox[\"d\", \"TI\"]-dimensional unit square.\nRowBox[{\"SpatialGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents a spatial distribution for graphs with vertices distributed according to the probability distribution StyleBox[\"dist\", \"TI\"].", + "SpatialMedian":"RowBox[{\"SpatialMedian\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the spatial median of the elements SubscriptBox[\"x\", \"i\"].\nRowBox[{\"SpatialMedian\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the spatial median for several different forms of StyleBox[\"data\", \"TI\"]. ", + "SpatialTransformationLayer":"RowBox[{\"SpatialTransformationLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] represents a net layer that applies an affine transformation to an input of size RowBox[{StyleBox[\"c\", \"TI\"], \"×\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] and returns an output of size RowBox[{StyleBox[\"c\", \"TI\"], \"×\", StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].", + "Speak":"RowBox[{\"Speak\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] speaks a spoken representation of the expression StyleBox[\"expr\", \"TI\"].", + "SpearmanRankTest":"RowBox[{\"SpearmanRankTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"SpearmanRankTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"SpearmanRankTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "SpearmanRho":"RowBox[{\"SpearmanRho\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Spearman's rank correlation coefficient ρ for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"SpearmanRho\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Spearman's rank correlation coefficient ρ for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"SpearmanRho\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Spearman's rank correlation coefficient ρ for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"SpearmanRho\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives Spearman's rank correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"SpearmanRho\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] Spearman rank correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", + "SpeciesData":"RowBox[{\"SpeciesData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the species StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SpeciesData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified species entities.\nRowBox[{\"SpeciesData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "SpecificityGoal":"SpecificityGoal is an option for ImageIdentify and related functions that defines what specificity of object to seek to identify.", + "SpectralLineData":"RowBox[{\"SpectralLineData\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the values of all known properties for an atomic state or state transition.\nRowBox[{\"SpectralLineData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the given entity.\nRowBox[{\"SpectralLineData\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] returns the state transition with the closest wavelength or frequency specified.\nRowBox[{\"SpectralLineData\", \"[\", RowBox[{StyleBox[\"class\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] returns the entity in the specified entity class with the closest wavelength or energy to the specified quantity.\nRowBox[{\"SpectralLineData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns the entities in StyleBox[\"spec\", \"TI\"] that fall within the range specified between SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "Spectrogram":"RowBox[{\"Spectrogram\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] plots the spectrogram of StyleBox[\"list\", \"TI\"].\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the spectrogram of StyleBox[\"audio\", \"TI\"].", + "SpectrogramArray":"RowBox[{\"SpectrogramArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] returns the spectrogram data of StyleBox[\"list\", \"TI\"].\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns spectrogram data of StyleBox[\"audio\", \"TI\"].", + "Specularity":"RowBox[{\"Specularity\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] is a graphics directive which specifies that surfaces of 3D graphics objects which follow are to be taken to have specularity StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Specularity\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses specular exponent StyleBox[\"n\", \"TI\"]. ", + "SpeechSynthesize":"RowBox[{\"SpeechSynthesize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] synthesizes the contents of StyleBox[\"expr\", \"TI\"] as an Audio object. \nRowBox[{\"SpeechSynthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"voice\", \"TI\"]}], \"]\"}] uses the specified StyleBox[\"voice\", \"TI\"] to synthesize the speech signal.", + "SpellingCorrection":"SpellingCorrection is an option for StringMatchQ, Names, and related functions that specifies whether strings should be considered to match even when a small fraction of the characters in them are different. ", + "SpellingCorrectionList":"RowBox[{\"SpellingCorrectionList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of possible spelling corrections for \"\nStyleBox[\"word\", \"TI\"]\".", + "SpellingDictionaries":"SpellingDictionaries is a global option that specifies settings for spell checking.", + "SpellingDictionariesPath":"SpellingDictionariesPath is a global option that specifies which directories are searched for spelling dictionaries when the StyleBox[\"Edit\", \"MenuName\"]StyleBox[\" ▶ \", \"MenuNameDelimiter\"]StyleBox[\"Check Spelling\", \"MenuName\"] menu item is used.", + "SpellingOptions":"SpellingOptions is an option for notebooks that specifies settings for spell checking.", + "Sphere":"RowBox[{\"Sphere\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a unit sphere centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Sphere\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a sphere of radius StyleBox[\"r\", \"TI\"] centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Sphere\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a collection of spheres of radius StyleBox[\"r\", \"TI\"].", + "SpherePoints":"RowBox[{\"SpherePoints\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the positions of StyleBox[\"n\", \"TI\"] uniformly distributed points on the surface of a unit sphere.", + "SphericalBesselJ":"RowBox[{\"SphericalBesselJ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Bessel function of the first kind RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "SphericalBesselY":"RowBox[{\"SphericalBesselY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Bessel function of the second kind RowBox[{SubscriptBox[\"y\", \"n\"], \"(\", \"z\", \")\"}]. ", + "SphericalHankelH1":"RowBox[{\"SphericalHankelH1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Hankel function of the first kind RowBox[{SubsuperscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"1\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "SphericalHankelH2":"RowBox[{\"SphericalHankelH2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Hankel function of the second kind RowBox[{SubsuperscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"2\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "SphericalHarmonicY":"RowBox[{\"SphericalHarmonicY\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] gives the spherical harmonic RowBox[{SubsuperscriptBox[StyleBox[\"Y\", \"TI\"], StyleBox[\"l\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{\"θ\", \",\", \"ϕ\"}], \")\"}]. ", + "SphericalPlot3D":"RowBox[{\"SphericalPlot3D\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] generates a 3D plot with a spherical radius StyleBox[\"r\", \"TI\"] as a function of spherical coordinates StyleBox[\"θ\", \"TR\"] and StyleBox[\"ϕ\", \"TR\"].\nRowBox[{\"SphericalPlot3D\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a 3D spherical plot over the specified ranges of spherical coordinates.\nRowBox[{\"SphericalPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a 3D spherical plot with multiple surfaces.", + "SphericalRegion":"SphericalRegion is an option for three-dimensional graphics functions that specifies whether the final image should be scaled so that a sphere drawn around the three‐dimensional bounding box would fit in the display area specified. ", + "SphericalShell":"RowBox[{\"SphericalShell\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a filled spherical shell centered at StyleBox[\"c\", \"TI\"] with inner radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]] and outer radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]].", + "SpheroidalEigenvalue":"RowBox[{\"SpheroidalEigenvalue\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"]\"}] gives the spheroidal eigenvalue with degree n and order m.", + "SpheroidalJoiningFactor":"RowBox[{\"SpheroidalJoiningFactor\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"]\"}] gives the spheroidal joining factor with degree StyleBox[\"n\", \"TI\"] and order StyleBox[\"m\", \"TI\"].", + "SpheroidalPS":"RowBox[{\"SpheroidalPS\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"PS\", FontSlant -> \"Italic\"], RowBox[{\"n\", \",\", \"m\"}]], \"(\", RowBox[{\"γ\", \",\", \"z\"}], \")\"}] of the first kind.", + "SpheroidalPSPrime":"RowBox[{\"SpheroidalPSPrime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"PS\", FontSlant -> \"Italic\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the first kind.", + "SpheroidalQS":"RowBox[{\"SpheroidalQS\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"QS\", FontSlant -> \"Italic\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the second kind.", + "SpheroidalQSPrime":"RowBox[{\"SpheroidalQSPrime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"QS\", FontSlant -> \"Italic\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the second kind.", + "SpheroidalRadialFactor":"RowBox[{\"SpheroidalRadialFactor\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the spheroidal radial factor with degree StyleBox[\"n\", \"TI\"] and order StyleBox[\"m\", \"TI\"].", + "SpheroidalS1":"RowBox[{\"SpheroidalS1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the radial spheroidal function RowBox[{SubsuperscriptBox[\"S\", RowBox[{\"n\", \",\", \"m\"}], RowBox[{\"(\", \"1\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", \"z\"}], \")\"}] of the first kind.", + "SpheroidalS1Prime":"RowBox[{\"SpheroidalS1Prime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the radial spheroidal function RowBox[{SubsuperscriptBox[StyleBox[\"S\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], RowBox[{\"(\", \"1\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the first kind.", + "SpheroidalS2":"RowBox[{\"SpheroidalS2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the radial spheroidal function RowBox[{SubsuperscriptBox[\"S\", RowBox[{\"n\", \",\", \"m\"}], RowBox[{\"(\", \"2\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", \"z\"}], \")\"}] of the second kind.", + "SpheroidalS2Prime":"RowBox[{\"SpheroidalS2Prime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the radial spheroidal function RowBox[{SubsuperscriptBox[StyleBox[\"S\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], RowBox[{\"(\", \"2\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the second kind.", + "SplicedDistribution":"RowBox[{\"SplicedDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], \",\"}]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the distribution obtained by splicing the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], … truncated on the intervals RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], … with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", + "SplineClosed":"SplineClosed is an option for B-spline functions and graphics primitives that specifies whether spline curves or surfaces should be closed. ", + "SplineDegree":"SplineDegree is an option for spline functions and graphics primitives that specifies the degree of polynomial basis to use.", + "SplineKnots":"SplineKnots is an option for B-spline functions and graphics primitives that specifies the positions of knots.", + "SplineWeights":"SplineWeights is an option for B-spline functions and graphics primitives that specifies weights of control points.", + "Split":"RowBox[{\"Split\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] splits StyleBox[\"list\", \"TI\"] into sublists consisting of runs of identical elements. \nRowBox[{\"Split\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] treats pairs of adjacent elements as identical whenever applying the function StyleBox[\"test\", \"TI\"] to them yields True. ", + "SplitBy":"RowBox[{\"SplitBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] splits StyleBox[\"list\", \"TI\"] into sublists consisting of runs of successive elements that give the same value when StyleBox[\"f\", \"TI\"] is applied.\nRowBox[{\"SplitBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] recursively splits StyleBox[\"list\", \"TI\"] into sublists by testing elements successively with each of the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SpokenString":"RowBox[{\"SpokenString\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a string of text corresponding to a spoken representation of the expression StyleBox[\"expr\", \"TI\"].", + "Sqrt":"RowBox[{\"Sqrt\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] or SqrtBox[StyleBox[\"z\", \"TI\"]] gives the square root of StyleBox[\"z\", \"TI\"]. ", + "SqrtBox":"RowBox[{SqrtBox, \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is a low-level box construct that represents the displayed object SqrtBox[StyleBox[\"x\", \"TI\"]] in notebook expressions. ", + "SqrtBoxOptions":"SqrtBoxOptions is an option that specifies settings for SqrtBox objects.", + "Square":"RowBox[{\"Square\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"\", StyleBox[\"x\", \"TI\"]}].", + "SquaredEuclideanDistance":"RowBox[{\"SquaredEuclideanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the squared Euclidean distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "SquareFreeQ":"RowBox[{\"SquareFreeQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a square-free polynomial or number, and False otherwise.\nRowBox[{\"SquareFreeQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is square-free with respect to the variables StyleBox[\"vars\", \"TI\"]. ", + "SquareIntersection":"RowBox[{\"SquareIntersection\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊓\", StyleBox[\"y\", \"TI\"], \"⊓\", StyleBox[\"…\", \"TR\"]}].", + "SquareMatrixQ":"RowBox[{\"SquareMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is a square matrix, and False otherwise.", + "SquareRepeatingElement":"RowBox[{\"SquareRepeatingElement\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents a square array of elements of type StyleBox[\"spec\", \"TI\"] in an interpreter, API or form specification.\nRowBox[{\"SquareRepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents a square array of elements of maximum size RowBox[{StyleBox[\"max\", \"TI\"], \"×\", StyleBox[\"max\", \"TI\"]}].\nRowBox[{\"SquareRepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a square array of elements of size between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"].", + "SquaresR":"RowBox[{\"SquaresR\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the number of ways RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"d\", \"TI\"]], \"(\", StyleBox[\"n\", \"TI\"], \")\"}] to represent the integer StyleBox[\"n\", \"TI\"] as a sum of StyleBox[\"d\", \"TI\"] squares.", + "SquareSubset":"RowBox[{\"SquareSubset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊏\", StyleBox[\"y\", \"TI\"], \"⊏\", StyleBox[\"…\", \"TR\"]}].", + "SquareSubsetEqual":"RowBox[{\"SquareSubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊑\", StyleBox[\"y\", \"TI\"], \"⊑\", StyleBox[\"…\", \"TR\"]}].", + "SquareSuperset":"RowBox[{\"SquareSuperset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊐\", StyleBox[\"y\", \"TI\"], \"⊐\", StyleBox[\"…\", \"TR\"]}].", + "SquareSupersetEqual":"RowBox[{\"SquareSupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊒\", StyleBox[\"y\", \"TI\"], \"⊒\", StyleBox[\"…\", \"TR\"]}].", + "SquareUnion":"RowBox[{\"SquareUnion\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊔\", StyleBox[\"y\", \"TI\"], \"⊔\", StyleBox[\"…\", \"TR\"]}].", + "SquareWave":"RowBox[{\"SquareWave\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a square wave that alternates between +1 and -1 with unit period.\nRowBox[{\"SquareWave\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a square wave that alternates between SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]] with unit period. ", + "SSSTriangle":"RowBox[{\"SSSTriangle\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] returns a filled triangle with sides of lengths StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"], and StyleBox[\"c\", \"TI\"].", + "StabilityMargins":"StabilityMargins is an option to frequency response plots such as BodePlot, NyquistPlot, and NicholsPlot that specifies the gain and phase margins to be shown on the plot.", + "StabilityMarginsStyle":"StabilityMarginsStyle is an option to frequency response plots such as BodePlot, NyquistPlot, and NicholsPlot that specifies the styles in which the gain and phase margins are to be drawn.", + "StableDistribution":"RowBox[{\"StableDistribution\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents the stable distribution SubscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"type\", \"TI\"]] with index of stability StyleBox[\"α\", \"TR\"], skewness parameter StyleBox[\"β\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].", + "Stack":"RowBox[{\"Stack\", \"[\", \"]\"}] shows the current evaluation stack, giving a list of the tags associated with evaluations that are currently being done. \nRowBox[{\"Stack\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] gives a list of expressions currently being evaluated which match the pattern. ", + "StackBegin":"RowBox[{\"StackBegin\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], starting a fresh evaluation stack. ", + "StackComplete":"RowBox[{\"StackComplete\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with intermediate expressions in evaluation chains included on the stack. ", + "StackedDateListPlot":"RowBox[{\"StackedDateListPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points with values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] at a sequence of dates.\nRowBox[{\"StackedDateListPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] plots points with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"StackedDateListPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"StackedDateListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StackedDateListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}]}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", + "StackedListPlot":"RowBox[{\"StackedListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots lines for each of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], with the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] curve being the accumulation of values in SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StackedListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", + "StackInhibit":"RowBox[{\"StackInhibit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] without modifying the evaluation stack. ", + "StadiumShape":"RowBox[{\"StadiumShape\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a stadium of radius StyleBox[\"r\", \"TI\"] between the points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}].", + "StandardAtmosphereData":"RowBox[{\"StandardAtmosphereData\", \"[\", RowBox[{StyleBox[\"altitude\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property at the specified geometrical altitude for the chosen model of the standard Earth atmosphere.\nRowBox[{\"StandardAtmosphereData\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns a piecewise symbolic approximation with the range of an atmospheric layer for the property.\nRowBox[{\"StandardAtmosphereData\", \"[\", RowBox[{StyleBox[\"\\\"SymbolicApproximation\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the full piecewise symbolic approximation for the property.", + "StandardDeviation":"RowBox[{\"StandardDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the sample standard deviation of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"StandardDeviation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the standard deviation of the distribution StyleBox[\"dist\", \"TI\"].", + "StandardDeviationFilter":"RowBox[{\"StandardDeviationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the standard deviations of the values in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"StandardDeviationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", + "StandardForm":"RowBox[{\"StandardForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the standard StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] two-dimensional representation of StyleBox[\"expr\", \"TI\"]. ", + "Standardize":"RowBox[{\"Standardize\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] shifts and rescales the elements of StyleBox[\"list\", \"TI\"] to have zero mean and unit sample variance.\nRowBox[{\"Standardize\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] shifts the elements in StyleBox[\"list\", \"TI\"] by RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] and rescales them to have unit sample variance.\nRowBox[{\"Standardize\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] shifts by RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] and scales by RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", StyleBox[\"list\", \"TI\"], \"]\"}].", + "Standardized":"Standardized is an option that determines whether to standardize the data.", + "StandardOceanData":"RowBox[{\"StandardOceanData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the thermodynamic properties of seawater for the specified parameters.\nRowBox[{\"StandardOceanData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the specified property for the given parameters. ", + "StandbyDistribution":"RowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a standby distribution with component lifetime distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]]. When component StyleBox[\"i\", \"TI\"] fails, component RowBox[{StyleBox[\"i\", \"TI\"], \"+\", \"1\"}] will become active. \nRowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a standby distribution where switching from component StyleBox[\"i\", \"TI\"] to component RowBox[{StyleBox[\"i\", \"TI\"], \"+\", \"1\"}] succeeds with probability StyleBox[\"p\", \"TI\"].\nRowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"sdist\", \"TI\"]}], \"]\"}] represents a standby distribution where the switch component has lifetime distribution StyleBox[\"sdist\", \"TI\"].\nRowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"inactive\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"active\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a standby distribution where the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] component lifetime distribution follows SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"inactive\"}], \"TI\"]] in inactive mode and SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"active\"}], \"TI\"]] in active mode.", + "Star":"RowBox[{\"Star\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋆\", StyleBox[\"y\", \"TI\"], \"⋆\", StyleBox[\"…\", \"TR\"]}].", + "StarClusterData":"RowBox[{\"StarClusterData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the star cluster StyleBox[\"entity\", \"TI\"].\nRowBox[{\"StarClusterData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified star cluster entities.\nRowBox[{\"StarClusterData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "StarData":"RowBox[{\"StarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the star StyleBox[\"entity\", \"TI\"].\nRowBox[{\"StarData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified star entities.\nRowBox[{\"StarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", + "StarGraph":"RowBox[{\"StarGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the star graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"S\", \"n\"].", + "StartAsynchronousTask":"RowBox[{\"StartAsynchronousTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] allows asynchronous evaluations from StyleBox[\"task\", \"TI\"] after it has been stopped.", + "StartExternalSession":"RowBox[{\"StartExternalSession\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] starts an external session using the external evaluator StyleBox[\"sys\", \"TI\"], returning an external session object.\nRowBox[{\"StartExternalSession\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"opts\", \"TI\"]}], \"}\"}], \"]\"}] uses the options StyleBox[\"opts\", \"TI\"] for the external evaluator.\nRowBox[{\"StartExternalSession\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] starts the external evaluator specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"StartExternalSession\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \"\", StyleBox[\"type\", \"TI\"]}], \"]\"}] specifies that output from the external evaluator should be converted to the specified type.", + "StartingStepSize":"StartingStepSize is an option to NDSolve and related functions that specifies the initial step size to use in trying to generate results.", + "StartOfLine":"StartOfLine represents the start of a line in a string for purposes of matching in StringExpression.", + "StartOfString":"StartOfString represents the start of a string for purposes of matching in StringExpression.", + "StartScheduledTask":"RowBox[{\"StartScheduledTask\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] starts the local or cloud scheduled task represented by StyleBox[\"obj\", \"TI\"].", + "StartupSound":"StartupSound is a global option that specifies whether StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] plays a sound when it is launched.", + "StateDimensions":"StateDimensions is an option to TemporalData that specifies the dimensions of the state space. ", + "StateFeedbackGains":"RowBox[{\"StateFeedbackGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the state feedback gain matrix for the state-space model StyleBox[\"ssm\", \"TI\"], such that the poles of the closed-loop system are SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StateFeedbackGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies control inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]] to use. ", + "StateOutputEstimator":"RowBox[{\"StateOutputEstimator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] constructs an estimator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"], with estimator gain matrix StyleBox[\"l\", \"TI\"].\nRowBox[{\"StateOutputEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] uses only StyleBox[\"sensors\", \"TI\"] as the measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"StateOutputEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", + "StateResponse":"RowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the numeric state response of the state-space model StyleBox[\"sys\", \"TI\"] to input StyleBox[\"u\", \"TI\"] for RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"≤\", StyleBox[\"t\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}]. \nRowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"0\", \"]\"}], \",\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"1\", \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the response of the discrete-time state-space model StyleBox[\"sys\", \"TI\"] to the input sequence RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}].\nRowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic state response as a function of time StyleBox[\"t\", \"TI\"].\nRowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the state response for multiple inputs SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StateResponse\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"20\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the response with initial states SubscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"0\", \"TR\"]].", + "StateSpaceModel":"RowBox[{\"StateSpaceModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}] represents the standard state-space model with state matrix StyleBox[\"a\", \"TI\"], input matrix StyleBox[\"b\", \"TI\"], output matrix StyleBox[\"c\", \"TI\"], and transmission matrix StyleBox[\"d\", \"TI\"].\nRowBox[{\"StateSpaceModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"e\", \"TI\"]}], \"}\"}], \"]\"}] represents a descriptor state-space model with descriptor matrix StyleBox[\"e\", \"TI\"].\nRowBox[{\"StateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives a state-space model corresponding to the systems model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"StateSpaceModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] gives the state-space model obtained by Taylor linearization about the point RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"0\", \"TR\"]]}], \")\"}] of the differential or difference equations StyleBox[\"eqns\", \"TI\"] with outputs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] and independent variable StyleBox[\"τ\", \"TI\"].", + "StateSpaceRealization":"StateSpaceRealization is an option to StateSpaceModel that specifies its canonical representation.", + "StateSpaceTransform":"RowBox[{\"StateSpaceTransform\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}]}], \"]\"}] transforms the state-space model StyleBox[\"sys\", \"TI\"] using the matrices StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"]. \nRowBox[{\"StateSpaceTransform\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] transforms using the variable transformations RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "StateTransformationLinearize":"RowBox[{\"StateTransformationLinearize\", \"[\", StyleBox[\"asys\", \"TI\"], \"]\"}] linearizes the AffineStateSpaceModel StyleBox[\"asys\", \"TI\"] by state transformation.\nRowBox[{\"StateTransformationLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"lform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies the new states StyleBox[\"z\", \"TI\"] and form of linearization StyleBox[\"lform\", \"TI\"]. \nRowBox[{\"StateTransformationLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\".", + "StationaryDistribution":"RowBox[{\"StationaryDistribution\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] represents the stationary distribution of the process StyleBox[\"proc\", \"TI\"], when it exists. ", + "StationaryWaveletPacketTransform":"RowBox[{\"StationaryWaveletPacketTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the stationary wavelet packet transform (SWPT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"StationaryWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the stationary wavelet packet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"StationaryWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the stationary wavelet packet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", + "StationaryWaveletTransform":"RowBox[{\"StationaryWaveletTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the stationary wavelet transform (SWT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"StationaryWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the stationary wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"StationaryWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the stationary wavelet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", + "StatusArea":"RowBox[{\"StatusArea\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"string\", \"TI\"]}], \"]\"}] displays StyleBox[\"string\", \"TI\"] in the status area of the current notebook when the mouse pointer is in the region where StyleBox[\"expr\", \"TI\"] appears. ", + "StatusCentrality":"RowBox[{\"StatusCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of status centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"StatusCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "StepMonitor":"StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used. ", + "StieltjesGamma":"RowBox[{\"StieltjesGamma\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Stieltjes constant SubscriptBox[\"γ\", StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"StieltjesGamma\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the generalized Stieltjes constant RowBox[{SubscriptBox[\"γ\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"a\", \"TI\"], \")\"}].", + "StirlingS1":"RowBox[{\"StirlingS1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Stirling number of the first kind SubsuperscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]]. ", + "StirlingS2":"RowBox[{\"StirlingS2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Stirling number of the second kind SubsuperscriptBox[\"\", StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]]. ", + "StopAsynchronousTask":"RowBox[{\"StopAsynchronousTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] stops asynchronous evaluations from StyleBox[\"task\", \"TI\"].", + "StoppingPowerData":"RowBox[{\"StoppingPowerData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"Particle\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"particle\", \"TI\"]}], \",\", RowBox[{StyleBox[\"\\\"Energy\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"quantity\", \"TI\"]}]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specific property for the substance for the specified particle and the energy of that particle.", + "StopScheduledTask":"RowBox[{\"StopScheduledTask\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deactivates the local or cloud scheduled task represented by StyleBox[\"obj\", \"TI\"].", + "StrataVariables":"StrataVariables is an option for fitting functions such as CoxModelFit that specify the variables on which the model should be stratified. ", + "StratonovichProcess":"RowBox[{\"StratonovichProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents a Stratonovich process RowBox[{\"x\", \"(\", \"t\", \")\"}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \"◦\", \" \", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}], \" \"}]}]}]}].\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents a Stratonovich process RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"\", RowBox[{\"c\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}]}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \"◦\", \" \", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}], \" \"}]}]}]}].\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a Stratonovich process with initial condition RowBox[{RowBox[{\"x\", \"(\", SubscriptBox[\"t\", \"0\"], \")\"}], \"\", SubscriptBox[\"x\", \"0\"]}].\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] uses a Wiener process RowBox[{\"w\", \"(\", \"t\", \")\"}], with covariance StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"StratonovichProcess\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] converts StyleBox[\"proc\", \"TI\"] to a standard Stratonovich process whenever possible.\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{StyleBox[\"sdeqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"\", StyleBox[\"dproc\", \"TI\"]}]}], \"]\"}] represents a Stratonovich process specified by a stochastic differential equation StyleBox[\"sdeqns\", \"TI\"], output expression StyleBox[\"expr\", \"TI\"], with state StyleBox[\"x\", \"TI\"] and time StyleBox[\"t\", \"TI\"], driven by StyleBox[\"w\", \"TI\"] following the process StyleBox[\"dproc\", \"TI\"]. ", + "StreamColorFunction":"StreamColorFunction is an option for StreamPlot and related functions that specifies a function to apply to determine colors along streamlines. ", + "StreamColorFunctionScaling":"StreamColorFunctionScaling is an option for graphics functions that specifies whether arguments supplied to a stream color function should be scaled to lie between 0 and 1. ", + "StreamDensityPlot":"RowBox[{\"StreamDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a stream plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"], superimposed on a background density plot of the scalar field StyleBox[\"s\", \"TI\"]. \nRowBox[{\"StreamDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the scalar field to be the norm of the vector field.\nRowBox[{\"StreamDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], StyleBox[\"}\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates plots of several vector fields. \nRowBox[{\"StreamDensityPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", + "StreamMarkers":"StreamMarkers is an option for StreamPlot, ListStreamPlot and related functions that specifies what markers to draw at the field points plotted.", + "StreamPlot":"RowBox[{\"StreamPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a stream plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"StreamPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates plots of several vector fields. \nRowBox[{\"StreamPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", + "StreamPoints":"StreamPoints is an option to StreamPlot, ListStreamPlot, and related functions that determines how many streamlines to draw.", + "StreamPosition":"RowBox[{\"StreamPosition\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] returns an integer that specifies the position of the current point in an open stream. ", + "Streams":"RowBox[{\"Streams\", \"[\", \"]\"}] gives a list of all streams that are currently open. \nRowBox[{\"Streams\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] lists only streams with the specified name. ", + "StreamScale":"StreamScale is an option to StreamPlot, ListStreamPlot, and related functions that determines the length and arrowhead size of streamlines that are drawn. ", + "StreamStyle":"StreamStyle is an option to StreamPlot, StreamDensityPlot, and related functions that determines the style to use for drawing streamlines.", + "String":"String is the head of a character string \"StyleBox[\"text\", \"TI\"]\". ", + "StringByteCount":"RowBox[{\"StringByteCount\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the total number of bytes used to store the characters in a string.", + "StringCases":"RowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the substrings in \"StyleBox[\"string\", \"TI\"]\" that match the string expression StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"lhs\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives a list of the values of StyleBox[\"rhs\", \"TI\"] corresponding to the substrings that match the string expression StyleBox[\"lhs\", \"TI\"]. \nRowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] substrings that match. \nRowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives substrings that match any of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringCases\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringCases\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringCases that can be applied to an expression.", + "StringContainsQ":"RowBox[{\"StringContainsQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if any part of StyleBox[\"string\", \"TI\"] matches the string pattern StyleBox[\"patt\", \"TI\"], and yields False otherwise.\nRowBox[{\"StringContainsQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the results for each of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringContainsQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringContainsQ that can be applied to an expression.", + "StringCount":"RowBox[{\"StringCount\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sub\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a count of the number of times \"\nStyleBox[\"sub\", \"TI\"]\" appears as a substring of \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringCount\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the number of substrings in \"\nStyleBox[\"string\", \"TI\"]\" that match the general string expression StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringCount\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] counts the number of occurrences of any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringCount\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringDelete":"RowBox[{\"StringDelete\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields the string obtained by deleting from StyleBox[\"string\", \"TI\"] all occurrences of anything matching the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"StringDelete\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringDelete that can be applied to an expression.", + "StringDrop":"RowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with its first StyleBox[\"n\", \"TI\"] characters dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with its last StyleBox[\"n\", \"TI\"] characters dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with its StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] character dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with characters StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringEndsQ":"RowBox[{\"StringEndsQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if the end of StyleBox[\"string\", \"TI\"] matches the string pattern StyleBox[\"patt\", \"TI\"], and yields False otherwise.\nRowBox[{\"StringEndsQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the results for each of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringEndsQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringEndsQ that can be applied to an expression.", + "StringExpression":"RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"~~\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"~~\", StyleBox[\"…\", \"TR\"]}]}] or RowBox[{\"StringExpression\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a sequence of strings and symbolic string objects SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringExtract":"RowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] extracts the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] block of characters in StyleBox[\"string\", \"TI\"], where blocks of characters are defined as delimited by whitespace.\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts blocks at several positions in StyleBox[\"string\", \"TI\"].\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"sep\", \"TI\"], \"\", StyleBox[\"pos\", \"TI\"]}]}], \"]\"}] takes blocks to be delimited by separators that match StyleBox[\"sep\", \"TI\"].\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] extracts blocks at positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], delimiting with whitespace for the lowest level, newlines for the next level, and a successively increasing number of newlines thereafter.\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list of blocks, with the SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"i\", \"TI\"]] used as separators for successive levels.", + "StringForm":"RowBox[{\"StringForm\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"controlstring\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] prints as the text of the StyleBox[\"controlstring\", \"TI\"], with the printed forms of the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] embedded. ", + "StringFormat":"RowBox[{\"StringFormat\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine what ImportString format could be used to import the string \"\nStyleBox[\"string\", \"TI\"]\".", + "StringFreeQ":"RowBox[{\"StringFreeQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if no substring in \"StyleBox[\"string\", \"TI\"]\" matches the string expression StyleBox[\"patt\", \"TI\"], and yields False otherwise. \nRowBox[{\"StringFreeQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields True if no substring matches any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringFreeQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringFreeQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringFreeQ that can be applied to an expression.", + "StringInsert":"RowBox[{\"StringInsert\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] yields a string with \"\nStyleBox[\"snew\", \"TI\"]\" inserted starting at position StyleBox[\"n\", \"TI\"] in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringInsert\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] inserts at position StyleBox[\"n\", \"TI\"] from the end of \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringInsert\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts a copy of \"\nStyleBox[\"snew\", \"TI\"]\" at each of the positions SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringInsert\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringJoin":"RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \"<>\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \"<>\", StyleBox[\"…\", \"TR\"]}], RowBox[{\"StringJoin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], or RowBox[{\"StringJoin\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a string consisting of a concatenation of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringLength":"RowBox[{\"StringLength\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the number of characters in a string. ", + "StringMatchQ":"RowBox[{\"StringMatchQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] tests whether \"\nStyleBox[\"string\", \"TI\"]\" matches the string pattern StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringMatchQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"RegularExpression\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"regex\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] tests whether \"\nStyleBox[\"string\", \"TI\"]\" matches the specified regular expression. \nRowBox[{\"StringMatchQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringMatchQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringMatchQ that can be applied to an expression.", + "StringPadLeft":"RowBox[{\"StringPadLeft\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes StyleBox[\"string\", \"TI\"] be of length StyleBox[\"n\", \"TI\"], padding it on the left with spaces or truncating it if necessary. \nRowBox[{\"StringPadLeft\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"padding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] pads by repeating copies of the string StyleBox[\"padding\", \"TI\"].\nRowBox[{\"StringPadLeft\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] pads strings with spaces on the left to make them all the same length.\nRowBox[{\"StringPadLeft\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads or truncates to make all strings of length StyleBox[\"n\", \"TI\"].", + "StringPadRight":"RowBox[{\"StringPadRight\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes StyleBox[\"string\", \"TI\"] be of length StyleBox[\"n\", \"TI\"], padding it on the right with spaces or truncating it if necessary. \nRowBox[{\"StringPadRight\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"padding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] pads by repeating copies of the string StyleBox[\"padding\", \"TI\"].\nRowBox[{\"StringPadRight\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] pads strings with spaces on the right to make them all the same length.\nRowBox[{\"StringPadRight\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads or truncates to make all strings of length StyleBox[\"n\", \"TI\"].", + "StringPart":"RowBox[{\"StringPart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] character in \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringPart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] characters in \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringPart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"], \";;\", StyleBox[\"s\", \"TI\"]}]}], \"]\"}] gives a list of the characters in \"\nStyleBox[\"string\", \"TI\"]\" from the StyleBox[\"m\", \"TI\"]SuperscriptBox[\"\", \"th\"] through the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] in steps of StyleBox[\"s\", \"TI\"].\nRowBox[{\"StringPart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "StringPartition":"RowBox[{\"StringPartition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] partitions StyleBox[\"string\", \"TI\"] into nonoverlapping substrings of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"StringPartition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] generates substrings with offset StyleBox[\"d\", \"TI\"].", + "StringPosition":"RowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sub\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list of the starting and ending character positions at which \"\nStyleBox[\"sub\", \"TI\"]\" appears as a substring of \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives all positions at which substrings matching the general string expression StyleBox[\"patt\", \"TI\"] appear in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] occurrences of StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives positions of all the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringPosition\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringPosition that can be applied to an expression.", + "StringQ":"RowBox[{\"StringQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a string, and False otherwise.", + "StringRepeat":"RowBox[{\"StringRepeat\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"str\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a string consisting of \"StyleBox[\"str\", \"TI\"]\" repeated StyleBox[\"n\", \"TI\"] times.\nRowBox[{\"StringRepeat\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"str\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] creates a string consisting of up to StyleBox[\"n\", \"TI\"] copies of \"StyleBox[\"str\", \"TI\"]\", truncated to be of maximum total length at most StyleBox[\"max\", \"TI\"].", + "StringReplace":"RowBox[{\"StringReplace\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"s\", \"TI\"], \"\", StyleBox[\"sp\", \"TI\"]}]}], \"]\"}] replaces the string expression StyleBox[\"s\", \"TI\"] by StyleBox[\"sp\", \"TI\"] wherever it appears in \"StyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringReplace\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces the string expressions SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] by SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever they appear as substrings of \"StyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringReplace\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"srules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] does only the first StyleBox[\"n\", \"TI\"] replacements. \nRowBox[{\"StringReplace\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"srules\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringReplace\", \"[\", StyleBox[\"srules\", \"TI\"], \"]\"}] represents an operator form of StringReplace that can be applied to an expression.", + "StringReplaceList":"RowBox[{\"StringReplaceList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"s\", \"TI\"], \"\", StyleBox[\"sp\", \"TI\"]}]}], \"]\"}] or RowBox[{\"StringReplaceList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the strings obtained by replacing each individual occurrence of substrings in \"\nStyleBox[\"string\", \"TI\"]\" matching the string expressions SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringReplaceList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"srules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the first StyleBox[\"n\", \"TI\"] results obtained. \nRowBox[{\"StringReplaceList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"srules\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringReplacePart":"RowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] replaces the characters at positions StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in \"StyleBox[\"string\", \"TI\"]\" by \"StyleBox[\"snew\", \"TI\"]\". \nRowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts copies of \"StyleBox[\"snew\", \"TI\"]\" at several positions. \nRowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces characters at positions SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] in \"StyleBox[\"string\", \"TI\"]\" by \"SubscriptBox[StyleBox[\"snew\", \"TI\"], StyleBox[\"i\", \"TI\"]]\". \nRowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] represents an operator form of StringReplacePart that can be applied to an expression.", + "StringReverse":"RowBox[{\"StringReverse\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reverses the order of the characters in \"\nStyleBox[\"string\", \"TI\"]\". ", + "StringRiffle":"RowBox[{\"StringRiffle\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a string by concatenating all the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], with spaces inserted between them.\nRowBox[{\"StringRiffle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a string by concatenating the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]], and inserting spaces at the lowest level and newlines at the higher level.\nRowBox[{\"StringRiffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sep\", \"TI\"]}], \"]\"}] inserts the separator StyleBox[\"sep\", \"TI\"] between all elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"StringRiffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"left\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sep\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"right\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] use StyleBox[\"left\", \"TI\"] and StyleBox[\"right\", \"TI\"] as delimiters after concatenation.\nRowBox[{\"StringRiffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] inserts separator SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"i\", \"TI\"]] between elements of StyleBox[\"list\", \"TI\"] at level StyleBox[\"i\", \"TI\"].", + "StringRotateLeft":"RowBox[{\"StringRotateLeft\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the characters in StyleBox[\"string\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the left.\nRowBox[{\"StringRotateLeft\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] cycles one position to the left.", + "StringRotateRight":"RowBox[{\"StringRotateRight\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the characters in StyleBox[\"string\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the right.\nRowBox[{\"StringRotateRight\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] cycles one position to the right.", + "StringSkeleton":"RowBox[{\"StringSkeleton\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a sequence of StyleBox[\"n\", \"TI\"] omitted characters in a string printed with Short. The standard print form for StringSkeleton is an ellipsis. ", + "StringSplit":"RowBox[{\"StringSplit\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] splits \"StyleBox[\"string\", \"TI\"]\" into a list of substrings separated by whitespace. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] splits into substrings separated by delimiters matching the string expression StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] splits at any of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] inserts StyleBox[\"val\", \"TI\"] at the position of each delimiter. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the position of each delimiter SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] splits into at most StyleBox[\"n\", \"TI\"] substrings. \nRowBox[{\"StringSplit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringStartsQ":"RowBox[{\"StringStartsQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if the beginning of StyleBox[\"string\", \"TI\"] matches the string pattern StyleBox[\"patt\", \"TI\"], and yields False otherwise.\nRowBox[{\"StringStartsQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the results for each of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringStartsQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringStartsQ that can be applied to an expression.", + "StringTake":"RowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a string containing the first StyleBox[\"n\", \"TI\"] characters in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the last StyleBox[\"n\", \"TI\"] characters in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] character in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives characters StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the substrings specified by the SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringTake\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "StringTemplate":"RowBox[{\"StringTemplate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields a TemplateObject expression that represents a string template to be applied to arguments. \nRowBox[{\"StringTemplate\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] uses RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], RowBox[{\"URL\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] or RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] as the source for the string template.\nRowBox[{\"StringTemplate\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", + "StringToByteArray":"RowBox[{\"StringToByteArray\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns a byte array corresponding to the UTF-8 encoding of the specified string.\nRowBox[{\"StringToByteArray\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the specified character encoding.", + "StringToStream":"RowBox[{\"StringToStream\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens an input stream for reading from a string. ", + "StringTrim":"RowBox[{\"StringTrim\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] trims whitespace from the beginning and end of \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringTrim\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] trims substrings matching StyleBox[\"patt\", \"TI\"] from the beginning and end.", + "StripBoxes":"RowBox[{StripBoxes, \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] will strip out unnecessary boxes, spaces, and styles from a format expression.", + "StripOnInput":"StripOnInput is an option for certain boxes that determines whether the box should be stripped on evaluation.", + "StripWrapperBoxes":"StripWrapperBoxes is an option to TagBox that controls how boxes are stripped upon evaluation.", + "StructuralImportance":"RowBox[{\"StructuralImportance\", \"[\", StyleBox[\"rdist\", \"TI\"], \"]\"}] gives the structural importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"].\nRowBox[{\"StructuralImportance\", \"[\", StyleBox[\"fdist\", \"TI\"], \"]\"}] gives the structural importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"].\nRowBox[{\"StructuralImportance\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the structural importance for the components SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … in the Boolean expression StyleBox[\"bexpr\", \"TI\"].", + "StructuredArray":"RowBox[{\"StructuredArray\", \"[\", RowBox[{StyleBox[\"st\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array with structure type StyleBox[\"st\", \"TI\"] and specific content StyleBox[\"data\", \"TI\"]. ", + "StructuredSelection":"StructuredSelection is an option for Cell that specifies whether to allow only complete subexpressions in the cell to be selected interactively using the front end.", + "StruveH":"RowBox[{\"StruveH\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Struve function RowBox[{SubscriptBox[StyleBox[\"H\", SingleLetterItalics -> False, FontWeight -> \"Bold\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "StruveL":"RowBox[{\"StruveL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the modified Struve function RowBox[{SubscriptBox[StyleBox[\"L\", SingleLetterItalics -> False, FontWeight -> \"Bold\"], \"n\"], \"(\", \"z\", \")\"}]. ", + "Stub":"Stub is an attribute which specifies that if a symbol is ever used, Needs should automatically be called on the context of the symbol. ", + "StudentTDistribution":"RowBox[{\"StudentTDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents a Student t distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.\nRowBox[{\"StudentTDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents a Student t distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"σ\", \"TR\"], and StyleBox[\"ν\", \"TR\"] degrees of freedom.", + "Style":"RowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] displays with StyleBox[\"expr\", \"TI\"] formatted using the specified option settings. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the option settings for the specified style in the current notebook. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"color\", \"TI\"]}], \"]\"}] displays using the specified color. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Bold\"}], \"]\"}] displays with fonts made bold. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Italic\"}], \"]\"}] displays with fonts made italic. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Underlined\"}], \"]\"}] displays with fonts underlined. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Larger\"}], \"]\"}] displays with fonts made larger. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Smaller\"}], \"]\"}] displays with fonts made smaller. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] displays with font size StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Tiny\"}], \"]\"}], RowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Small\"}], \"]\"}], etc. display with fonts that are tiny, small, etc. ", + "StyleBox":"RowBox[{StyleBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] is a low-level representation of StyleBox[\"boxes\", \"TI\"] to be shown with the specified option settings. \nRowBox[{StyleBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the option setting for the specified style in the current notebook. ", + "StyleBoxAutoDelete":"StyleBoxAutoDelete is an option for selections that specifies whether a StyleBox wrapped around them should be automatically removed when the expression is edited.", + "StyleData":"RowBox[{\"StyleData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a low-level representation of the contents of a style definition cell.\nRowBox[{\"StyleData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"environment\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents the contents of a style definition cell in the style environment \"\nStyleBox[\"environment\", \"TI\"]\".", + "StyleDefinitions":"StyleDefinitions is an option for notebooks that gives definitions for the styles that can be used in a notebook. ", + "StyleForm":"RowBox[{\"StyleForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] prints using the specified style options. \nRowBox[{\"StyleForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] prints using the specified cell style in the current notebook. ", + "StyleMenuListing":"StyleMenuListing is an option for cells that specifies whether a given cell style is listed in the StyleBox[\"Format ▶ Style\", \"MenuName\"] submenu.", + "StyleNameDialogSettings":"StyleNameDialogSettings is a global option that specifies the cell style displayed in the StyleBox[\"Custom Style\", \"DialogElementName\"] dialog box.", + "StylePrint":"RowBox[{\"StylePrint\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] creates a new cell in the current notebook with the specified style, and prints StyleBox[\"expr\", \"TI\"] into it. \nRowBox[{\"StylePrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] uses the default style for the current notebook. ", + "StyleSheetPath":"StyleSheetPath is a global option that specifies which directories StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] searches to find stylesheets.", + "Subdivide":"RowBox[{\"Subdivide\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] generates the list RowBox[{\"{\", RowBox[{\"0\", \",\", RowBox[{\"1\", \"\/\", StyleBox[\"n\", \"TI\"]}], \",\", RowBox[{\"2\", \"\/\", StyleBox[\"n\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", \"1\"}], \"}\"}].\nRowBox[{\"Subdivide\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates the list of values obtained by subdividing the interval 0 to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] into StyleBox[\"n\", \"TI\"] equal parts.\nRowBox[{\"Subdivide\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates the list of values from subdividing the interval SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "Subfactorial":"RowBox[{\"Subfactorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of permutations of StyleBox[\"n\", \"TI\"] objects that leave no object fixed.", + "Subgraph":"RowBox[{\"Subgraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the subgraph of the graph StyleBox[\"g\", \"TI\"] generated by the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Subgraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the subgraph generated by the edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"Subgraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the subgraph generated by the vertices and edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"Subgraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "SubMinus":"RowBox[{\"SubMinus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"-\", \"TR\"]].", + "SubPlus":"RowBox[{\"SubPlus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SubscriptBox[StyleBox[\"expr\", \"TI\"], \"+\"].", + "SubresultantPolynomialRemainders":"RowBox[{\"SubresultantPolynomialRemainders\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] gives the subresultant polynomial remainder sequence of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"SubresultantPolynomialRemainders\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the subresultant polynomial remainder sequence modulo the prime StyleBox[\"p\", \"TI\"].", + "SubresultantPolynomials":"RowBox[{\"SubresultantPolynomials\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] generates a list of subresultant polynomials of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"SubresultantPolynomials\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the subresultant polynomials modulo the prime StyleBox[\"p\", \"TI\"].", + "Subresultants":"RowBox[{\"Subresultants\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] generates a list of the principal subresultant coefficients of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"Subresultants\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the principal subresultant coefficients modulo the prime StyleBox[\"p\", \"TI\"]. ", + "Subscript":"RowBox[{\"Subscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. \nRowBox[{\"Subscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] formats as SubscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}]].", + "SubscriptBox":"RowBox[{SubscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", + "SubscriptBoxOptions":"SubscriptBoxOptions is an option for selections that specifies settings for SubscriptBox objects.", + "Subsequences":"RowBox[{\"Subsequences\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the list of all possible subsequences of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives all subsequences containing at most StyleBox[\"n\", \"TI\"] elements. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives all subsequences containing exactly StyleBox[\"n\", \"TI\"] elements.\nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives all subsequences containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] elements. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] limits the result to the first StyleBox[\"s\", \"TI\"] subsequences. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] gives if possible the StyleBox[RowBox[{StyleBox[\"s\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] subsequence. ", + "Subset":"RowBox[{\"Subset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊂\", StyleBox[\"y\", \"TI\"], \"⊂\", StyleBox[\"…\", \"TR\"]}].", + "SubsetEqual":"RowBox[{\"SubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊆\", StyleBox[\"y\", \"TI\"], \"⊆\", StyleBox[\"…\", \"TR\"]}].", + "SubsetQ":"RowBox[{\"SubsetQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] is a subset of SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], and False otherwise.", + "Subsets":"RowBox[{\"Subsets\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of all possible subsets of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives all subsets containing at most StyleBox[\"n\", \"TI\"] elements. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives all subsets containing exactly StyleBox[\"n\", \"TI\"] elements. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives all subsets containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] elements. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] limits the result to the first StyleBox[\"s\", \"TI\"] subsets. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] gives if possible the StyleBox[RowBox[{StyleBox[\"s\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] subset. ", + "SubStar":"RowBox[{\"SubStar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SubscriptBox[StyleBox[\"expr\", \"TI\"], \"*\"].", + "SubstitutionSystem":"RowBox[{\"SubstitutionSystem\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a list representing the evolution of the substitution system with the specified rule from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps.\nRowBox[{\"SubstitutionSystem\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] gives the result of evolving StyleBox[\"init\", \"TI\"] for one step.\nRowBox[{\"SubstitutionSystem\", \"[\", StyleBox[\"rule\", \"TI\"], \"]\"}] is an operator form of SubstitutionSystem that corresponds to one step of evolution. ", + "Subsuperscript":"RowBox[{\"Subsuperscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is an object that formats as SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]]. ", + "SubsuperscriptBox":"RowBox[{SubsuperscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the low‐level box representation for SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]] in notebook expressions. ", + "SubsuperscriptBoxOptions":"SubsuperscriptBoxOptions is an option for selections that specifies settings for SubsuperscriptBox objects.", + "Subtract":"RowBox[{StyleBox[\"x\", \"TI\"], \"-\", StyleBox[\"y\", \"TI\"]}] is equivalent to RowBox[{StyleBox[\"x\", \"TI\"], \"+\", RowBox[{\"(\", RowBox[{RowBox[{\"-\", \"1\"}], \"*\", StyleBox[\"y\", \"TI\"]}], \")\"}]}]. ", + "SubtractFrom":"RowBox[{StyleBox[\"x\", \"TI\"], \"-=\", StyleBox[\"dx\", \"TI\"]}] subtracts StyleBox[\"dx\", \"TI\"] from StyleBox[\"x\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", + "SubtractSides":"RowBox[{\"SubtractSides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] subtracts StyleBox[\"x\", \"TI\"] from each side of the equation or inequality StyleBox[\"rel\", \"TI\"].\nRowBox[{\"SubtractSides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] subtracts the corresponding sides of two equations or inequalities.\nRowBox[{\"SubtractSides\", \"[\", StyleBox[\"rel\", \"TI\"], \"]\"}] subtracts the right-hand side of StyleBox[\"rel\", \"TI\"] from each side, producing a zero right-hand side.", + "SubValues":"RowBox[{\"SubValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all subvalues (values for RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", + "Succeeds":"RowBox[{\"Succeeds\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≻\", StyleBox[\"y\", \"TI\"], \"≻\", StyleBox[\"…\", \"TR\"]}].", + "SucceedsEqual":"RowBox[{\"SucceedsEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪰\", StyleBox[\"y\", \"TI\"], \"⪰\", StyleBox[\"…\", \"TR\"]}].", + "SucceedsSlantEqual":"RowBox[{\"SucceedsSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≽\", StyleBox[\"y\", \"TI\"], \"≽\", StyleBox[\"…\", \"TR\"]}].", + "SucceedsTilde":"RowBox[{\"SucceedsTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≿\", StyleBox[\"y\", \"TI\"], \"≿\", StyleBox[\"…\", \"TR\"]}].", + "Success":"RowBox[{\"Success\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] represents a success of a type indicated by StyleBox[\"tag\", \"TI\"], with details given by the association StyleBox[\"assoc\", \"TI\"].", + "SuchThat":"RowBox[{\"SuchThat\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∍\", StyleBox[\"y\", \"TI\"]}].", + "Sum":"RowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates the sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], \"f\"}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps RowBox[{StyleBox[\"d\", \"TI\"], \"\", StyleBox[\"i\", \"TI\"]}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates the multiple sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{\"…\", \"f\"}]}]}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the indefinite sum RowBox[{UnderscriptBox[\"∑\", \"i\"], \"f\"}].", + "SumConvergence":"RowBox[{\"SumConvergence\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives conditions for the sum RowBox[{UnderoverscriptBox[\"∑\", \"n\", \"∞\"], \"f\"}] to be convergent.\nRowBox[{\"SumConvergence\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives conditions for the multiple sum RowBox[{UnderoverscriptBox[\"∑\", SubscriptBox[\"n\", \"1\"], \"∞\"], RowBox[{UnderoverscriptBox[\"∑\", SubscriptBox[\"n\", \"2\"], \"∞\"], RowBox[{\"…\", \" \", \"f\"}]}]}] to be convergent.", + "SummationLayer":"RowBox[{\"SummationLayer\", \"[\", \"]\"}] represents a net layer that sums all of its input elements.", + "Sunday":"Sunday is a day of the week.", + "SunPosition":"RowBox[{\"SunPosition\", \"[\", \"]\"}] gives the position of the Sun for the current date and location.\nRowBox[{\"SunPosition\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the position of the Sun for the specified date.\nRowBox[{\"SunPosition\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the positions of the Sun for the specified location.\nRowBox[{\"SunPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the position of the Sun for the specified date and location.\nRowBox[{\"SunPosition\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the positions of the Sun for all specified locations on the specified dates.\nRowBox[{\"SunPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", + "Sunrise":"RowBox[{\"Sunrise\", \"[\", \"]\"}] gives the time of the next sunrise for the current date and location.\nRowBox[{\"Sunrise\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the times of the next sunrise for the specified dates.\nRowBox[{\"Sunrise\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the times of the next sunrise for the specified locations.\nRowBox[{\"Sunrise\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the time of the next sunrise for the specified date and location.\nRowBox[{\"Sunrise\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the times of the next sunrise for all specified locations on the specified dates.\nRowBox[{\"Sunrise\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", + "Sunset":"RowBox[{\"Sunset\", \"[\", \"]\"}] gives the time of the next sunset for the current date and location.\nRowBox[{\"Sunset\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the time of the next sunset for the specified dates.\nRowBox[{\"Sunset\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the times of the next sunset for the specified locations.\nRowBox[{\"Sunset\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the time of the next sunset for the specified date and location.\nRowBox[{\"Sunset\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the times of the next sunset for all specified locations on the specified dates.\nRowBox[{\"Sunset\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", + "SuperDagger":"RowBox[{\"SuperDagger\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"†\"].", + "SuperMinus":"RowBox[{\"SuperMinus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"-\"].", + "SupernovaData":"RowBox[{\"SupernovaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the supernova StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SupernovaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified supernova entities.\nRowBox[{\"SupernovaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "SuperPlus":"RowBox[{\"SuperPlus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"+\"].", + "Superscript":"RowBox[{\"Superscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. ", + "SuperscriptBox":"RowBox[{SuperscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", + "SuperscriptBoxOptions":"SuperscriptBoxOptions is an option for selections that specifies settings for SuperscriptBox objects.", + "Superset":"RowBox[{\"Superset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊃\", StyleBox[\"y\", \"TI\"], \"⊃\", StyleBox[\"…\", \"TR\"]}].", + "SupersetEqual":"RowBox[{\"SupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊇\", StyleBox[\"y\", \"TI\"], \"⊇\", StyleBox[\"…\", \"TR\"]}].", + "SuperStar":"RowBox[{\"SuperStar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"*\"].", + "Surd":"RowBox[{\"Surd\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the real-valued StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] root of StyleBox[\"x\", \"TI\"].", + "SurfaceColor":"RowBox[{\"SurfaceColor\", \"[\", StyleBox[\"dcol\", \"TI\"], \"]\"}] is a three-dimensional graphics directive which specifies that the surfaces which follow should act as diffuse reflectors of light with a color given by StyleBox[\"dcol\", \"TI\"]. \nRowBox[{\"SurfaceColor\", \"[\", RowBox[{StyleBox[\"dcol\", \"TI\"], \",\", StyleBox[\"scol\", \"TI\"]}], \"]\"}] specifies that a specular reflection component should be included, with a color given by StyleBox[\"scol\", \"TI\"]. \nRowBox[{\"SurfaceColor\", \"[\", RowBox[{StyleBox[\"dcol\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"scol\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the reflection should occur with specular exponent StyleBox[\"n\", \"TI\"]. \nRowBox[{\"SurfaceColor\", \"[\", RowBox[{StyleBox[\"dcol\", \"TI\"], \",\", StyleBox[\"scol\", \"TI\"], \",\", StyleBox[\"gcol\", \"TI\"]}], \"]\"}] specifies that a color StyleBox[\"gcol\", \"TI\"] should be added as if there were an intrinsic glow in the polygon. ", + "SurfaceData":"RowBox[{\"SurfaceData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the surface StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SurfaceData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified surface entities.\nRowBox[{\"SurfaceData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", \" \", StyleBox[\"property\", \"TI\"], \",\", \" \", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "SurfaceGraphics":"RowBox[{\"SurfaceGraphics\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a representation of a three-dimensional plot of a surface, with heights of each point on a grid specified by values in StyleBox[\"array\", \"TI\"]. \nRowBox[{\"SurfaceGraphics\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"shades\", \"TI\"]}], \"]\"}] represents a surface, whose parts are shaded according to the array StyleBox[\"shades\", \"TI\"]. ", + "SurvivalDistribution":"RowBox[{\"SurvivalDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a survival distribution with event times SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SurvivalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cw\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cw\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a survival distribution where events SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] occur with censor weights SubscriptBox[StyleBox[\"cw\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SurvivalFunction":"RowBox[{\"SurvivalFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the survival function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"SurvivalFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate survival function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"SurvivalFunction\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the survival function as a pure function.", + "SurvivalModel":"RowBox[{\"SurvivalModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic survival model obtained from functions like SurvivalModelFit.", + "SurvivalModelFit":"RowBox[{\"SurvivalModelFit\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a survival model for event timesRowBox[{\" \", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", + "SuspendPacket":"RowBox[{\"SuspendPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet used for synchronization with the StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel.", + "SuzukiDistribution":"RowBox[{\"SuzukiDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents the Suzuki distribution with shape parameters StyleBox[\"μ\", \"TR\"] and StyleBox[\"ν\", \"TR\"].", + "SuzukiGroupSuz":"RowBox[{\"SuzukiGroupSuz\", \"[\", \"]\"}] represents the sporadic simple Suzuki group Suz.", + "SwatchLegend":"RowBox[{\"SwatchLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a legend that associates swatches of colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SwatchLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"Automatic\"}], \"]\"}] generates a legend with placeholder labels for the colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SwatchLegend\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a legend with inherited colors within visualization functions.", + "Switch":"RowBox[{\"Switch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], then compares it with each of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]] in turn, evaluating and returning the SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the first match found. ", + "Symbol":"RowBox[{\"Symbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] refers to a symbol with the specified name. ", + "SymbolName":"RowBox[{\"SymbolName\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the name of the specified symbol. ", + "SymletWavelet":"RowBox[{\"SymletWavelet\", \"[\", \"]\"}] represents the Symlet wavelet of order 4.\nRowBox[{\"SymletWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the Symlet wavelet of order StyleBox[\"n\", \"TI\"].", + "Symmetric":"RowBox[{\"Symmetric\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the symmetry of a tensor that is symmetric in the slots SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "SymmetricGroup":"RowBox[{\"SymmetricGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the symmetric group of degree StyleBox[\"n\", \"TI\"].", + "SymmetricKey":"RowBox[{\"SymmetricKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents all the information needed for encryption, decryption, and other operations in a symmetric cryptographic system.", + "SymmetricMatrixQ":"RowBox[{\"SymmetricMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly symmetric, and False otherwise. ", + "SymmetricPolynomial":"RowBox[{\"SymmetricPolynomial\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] elementary symmetric polynomial in the variables RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", + "SymmetricReduction":"RowBox[{\"SymmetricReduction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a pair of polynomials RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}] in RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}] such that RowBox[{StyleBox[\"f\", \"TI\"], \"==\", RowBox[{StyleBox[\"p\", \"TI\"], \"+\", StyleBox[\"q\", \"TI\"]}]}], where StyleBox[\"p\", \"TI\"] is the symmetric part and StyleBox[\"q\", \"TI\"] is the remainder.\nRowBox[{\"SymmetricReduction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the pair RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}] with the elementary symmetric polynomials in StyleBox[\"p\", \"TI\"] replaced by RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], \"1\"], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", + "Symmetrize":"RowBox[{\"Symmetrize\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] returns the symmetrization of StyleBox[\"tensor\", \"TI\"] under the symmetry StyleBox[\"sym\", \"TI\"].", + "SymmetrizedArray":"RowBox[{\"SymmetrizedArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] yields an array of dimensions StyleBox[\"dims\", \"TI\"] whose entries are given by those in the rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] or through the symmetry StyleBox[\"sym\", \"TI\"].\nRowBox[{\"SymmetrizedArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] yields a symmetrized array version of StyleBox[\"list\", \"TI\"].", + "SymmetrizedArrayRules":"RowBox[{\"SymmetrizedArrayRules\", \"[\", StyleBox[\"sa\", \"TI\"], \"]\"}] returns a list of rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] of the symmetrized array StyleBox[\"sa\", \"TI\"].\nRowBox[{\"SymmetrizedArrayRules\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] returns a list of rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] of the array StyleBox[\"a\", \"TI\"] after being symmetrized with symmetry StyleBox[\"sym\", \"TI\"].", + "SymmetrizedDependentComponents":"RowBox[{\"SymmetrizedDependentComponents\", \"[\", RowBox[{StyleBox[\"comp\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] gives the list of components that are equivalent to the component StyleBox[\"comp\", \"TI\"] by the symmetry StyleBox[\"sym\", \"TI\"].", + "SymmetrizedIndependentComponents":"RowBox[{\"SymmetrizedIndependentComponents\", \"[\", RowBox[{StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] gives the list of independent components of an array of dimensions StyleBox[\"dims\", \"TI\"] with the symmetry StyleBox[\"sym\", \"TI\"].", + "SymmetrizedReplacePart":"RowBox[{\"SymmetrizedReplacePart\", \"[\", RowBox[{StyleBox[\"sa\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces independent values of the symmetrized array StyleBox[\"sa\", \"TI\"] as given by the rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", + "SynchronousInitialization":"SynchronousInitialization is an option for Manipulate, DynamicModule, and related functions that specifies whether or not to evaluate the expression given as the setting for Initialization synchronously.", + "SynchronousUpdating":"SynchronousUpdating is an option for Manipulate, Dynamic, and related functions that specifies whether or not to evaluate their contents synchronously. ", + "SyntaxForm":"SyntaxForm is an option for InterpretationBox and TagBox objects that specifies the precedence level to use when the InterpretationBox or TagBox is considered as an operator.", + "SyntaxInformation":"RowBox[{\"SyntaxInformation\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives information used to generate syntax coloring and other advisories when RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] is entered as input. ", + "SyntaxLength":"RowBox[{\"SyntaxLength\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] finds the number of characters starting at the beginning of a string that correspond to syntactically correct input for a single StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression. ", + "SyntaxPacket":"RowBox[{\"SyntaxPacket\", \"[\", StyleBox[\"integer\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet where StyleBox[\"integer\", \"TI\"] indicates the position at which a syntax error was detected in the input line.", + "SyntaxQ":"RowBox[{\"SyntaxQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns True if the string corresponds to syntactically correct input for a single StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression, and returns False otherwise. \nRowBox[{\"SyntaxQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] uses interpretation rules corresponding to the specified form.", + "SystemDialogInput":"RowBox[{\"SystemDialogInput\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] brings up an interactive system dialog and returns the value chosen in the dialog. \nRowBox[{\"SystemDialogInput\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] uses StyleBox[\"init\", \"TI\"] as the initial setting in the dialog.", + "SystemGet":"RowBox[{\"SystemGet\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] loads source file with path encoded in \"StyleBox[\"filename\", \"TI\"]\"", + "SystemHelpPath":"SystemHelpPath is a global option that specifies which directories are searched for the help notebooks used within the help system.", + "SystemInformation":"RowBox[{\"SystemInformation\", \"[\", \"]\"}] gives detailed information about the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> {\"Mathematica\", \" system\"}] being run. \nRowBox[{\"SystemInformation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"comp\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of rules with information about the component \"\nStyleBox[\"comp\", \"TI\"]\". \nRowBox[{\"SystemInformation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"comp\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of property \"\nStyleBox[\"prop\", \"TI\"]\" for component \"\nStyleBox[\"comp\", \"TI\"]\".", + "SystemInstall":"RowBox[{\"SystemInstall\", \"[\", StyleBox[\"pack\", \"TI\"], \"]\"}] downloads and installs the software package StyleBox[\"pack\", \"TI\"] on your machine.", + "SystemModel":"RowBox[{\"SystemModel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"model\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a representation of the model \"StyleBox[\"model\", \"TI\"]\", usable as input to other functions.\nRowBox[{RowBox[{\"SystemModel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"model\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the specified \"StyleBox[\"property\", \"TI\"]\" for the model \"StyleBox[\"model\", \"TI\"]\".", + "SystemModeler":"RowBox[{\"SystemModeler\", \"[\", \"]\"}] starts SystemModeler. \nRowBox[{\"SystemModeler\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] starts SystemModeler and opens the SystemModel StyleBox[\"model\", \"TI\"].\nRowBox[{\"SystemModeler\", \"[\", StyleBox[\"simulation\", \"TI\"], \"]\"}] starts SystemModeler with SystemModelSimulationData StyleBox[\"simulation\", \"TI\"].\nRowBox[{\"SystemModeler\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"action\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] starts SystemModeler and completes \"StyleBox[\"action\", \"TI\"]\".", + "SystemModelExamples":"RowBox[{\"SystemModelExamples\", \"[\", \"]\"}] shows an interactive browser of system modeling example models. \nRowBox[{\"SystemModelExamples\", \"[\", StyleBox[\"\\\"Models\\\"\",ShowStringCharacters->True], \"]\"}] lists all example models.\nRowBox[{\"SystemModelExamples\", \"[\", RowBox[{StyleBox[\"\\\"Models\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] lists models with names matching string pattern StyleBox[\"patt\", \"TI\"].", + "SystemModelLinearize":"RowBox[{\"SystemModelLinearize\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] gives a linearized state space to the model StyleBox[\"model\", \"TI\"] at an equilibrium. \nRowBox[{\"SystemModelLinearize\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] linearizes at state values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and input values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "SystemModelParametricSimulate":"RowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates StyleBox[\"model\", \"TI\"] for the variable StyleBox[\"v\", \"TI\"] with parameters SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates StyleBox[\"model\", \"TI\"] for multiple variables SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] simulates from 0 to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] simulates from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "SystemModelPlot":"RowBox[{\"SystemModelPlot\", \"[\", StyleBox[\"sim\", \"TI\"], \"]\"}] shows preferred plots from the SystemModelSimulationData object StyleBox[\"sim\", \"TI\"].\nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{StyleBox[\"sim\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] shows stored plot \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{StyleBox[\"sim\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a plot of the variables SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in StyleBox[\"sim\", \"TI\"].\nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sim\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sim\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots variables from several simulations. \nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots from a new simulation of \"StyleBox[\"model\", \"TI\"]\".", + "SystemModelProgressReporting":"SystemModelProgressReporting is an option for SystemModelSimulate and related functions that specifies how to report progress.", + "SystemModelReliability":"RowBox[{\"SystemModelReliability\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] retrieves the lifetime distribution for StyleBox[\"model\", \"TI\"].\nRowBox[{\"SystemModelReliability\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"Components\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of components in ReliabilityDistribution or FailureDistribution.\nRowBox[{\"SystemModelReliability\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"ComponentRules\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of translation rules for components.", + "SystemModels":"RowBox[{\"SystemModels\", \"[\", \"]\"}] returns a list of loaded system models.\nRowBox[{\"SystemModels\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] returns the models matching the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SystemModels\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"spec\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] only returns specialized models of the kind \"StyleBox[\"spec\", \"TI\"]\".", + "SystemModelSimulate":"RowBox[{\"SystemModelSimulate\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] simulates StyleBox[\"model\", \"TI\"] according to experiment settings.\nRowBox[{\"SystemModelSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}] simulates from 0 to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] simulates from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] stores only simulation data for the variables StyleBox[\"vars\", \"TI\"].", + "SystemModelSimulateSensitivity":"RowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates StyleBox[\"model\", \"TI\"] and sensitivities to parameters SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] following experiment settings.\nRowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates from 0 to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] stores only simulation data for the variables StyleBox[\"vars\", \"TI\"].", + "SystemModelSimulationData":"RowBox[{\"SystemModelSimulationData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents simulation data from functions such as SystemModelSimulate etc. ", + "SystemOpen":"RowBox[{\"SystemOpen\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"target\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens the specified file, URL, or other target with the associated program on your computer system.", + "SystemOptions":"RowBox[{\"SystemOptions\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the current setting for the internal system option with the specified name.\nRowBox[{\"SystemOptions\", \"[\", \"]\"}] gives the current settings for all settable internal system options.", + "SystemProcessData":"RowBox[{\"SystemProcessData\", \"[\", \"]\"}] gives a dataset of information about processes that you are running on your computer system.\nRowBox[{\"SystemProcessData\", \"[\", \"All\", \"]\"}] gives information about all processes running on your computer system.\nRowBox[{\"SystemProcessData\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] gives information about processes whose names or paths contain the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SystemProcessData\", \"[\", RowBox[{StyleBox[\"prop\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \"]\"}] gives information about processes for which property StyleBox[\"prop\", \"TI\"] has value StyleBox[\"val\", \"TI\"].\nRowBox[{\"SystemProcessData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives information about processes for which property SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"i\", \"TI\"]] has value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "SystemProcesses":"RowBox[{\"SystemProcesses\", \"[\", \"]\"}] gives a list of processes that you are running on your computer system.\nRowBox[{\"SystemProcesses\", \"[\", \"All\", \"]\"}] gives a list of all processes that are running on your computer system.\nRowBox[{\"SystemProcesses\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] gives a list of all processes whose names match the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SystemProcesses\", \"[\", RowBox[{StyleBox[\"prop\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \"]\"}] gives a list of all processes for which property StyleBox[\"prop\", \"TI\"] has value StyleBox[\"val\", \"TI\"].\nRowBox[{\"SystemProcesses\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of all processes for which property SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"i\", \"TI\"]] has value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "SystemsModelDelay":"RowBox[{\"SystemsModelDelay\", \"[\", StyleBox[\"δ\", \"TR\"], \"]\"}] represents a time delay of StyleBox[\"δ\", \"TR\"] in a StateSpaceModel or TransferFunctionModel.", + "SystemsModelDelayApproximate":"RowBox[{\"SystemsModelDelayApproximate\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"ord\", \"TI\"]}], \"]\"}] gives a delay-free system by using approximations of order StyleBox[\"ord\", \"TI\"] of the time delays in system StyleBox[\"sys\", \"TI\"].", + "SystemsModelDelete":"RowBox[{\"SystemsModelDelete\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] deletes the subsystem of the systems model StyleBox[\"sys\", \"TI\"] associated with inputs at position SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelDelete\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] also deletes the subsystem associated with outputs at positions SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelDelete\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes the subsystem of the state-space model StyleBox[\"sys\", \"TI\"] associated with inputs, outputs, and states at SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]], and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], respectively.", + "SystemsModelDimensions":"RowBox[{\"SystemsModelDimensions\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the number of inputs and outputs of the systems model StyleBox[\"sys\", \"TI\"].", + "SystemsModelExtract":"RowBox[{\"SystemsModelExtract\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] extracts the subsystem of the systems model StyleBox[\"sys\", \"TI\"] associated with inputs at position SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelExtract\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts the subsystem associated with inputs and outputs at positions SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]], respectively.\nRowBox[{\"SystemsModelExtract\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts the subsystem of the state-space model StyleBox[\"sys\", \"TI\"] associated with inputs, outputs, and states at SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]], and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], respectively.", + "SystemsModelFeedbackConnect":"RowBox[{\"SystemsModelFeedbackConnect\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] connects the outputs from StyleBox[\"sys\", \"TI\"] to the inputs with negative feedback. \nRowBox[{\"SystemsModelFeedbackConnect\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"con\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] only feedback connect the outputs and inputs in SubscriptBox[StyleBox[\"con\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelFeedbackConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] connects the outputs of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] and the outputs of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] to the inputs of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] in feedback.\nRowBox[{\"SystemsModelFeedbackConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects output SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] to the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] input of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] and the StyleBox[\"j\", \"TI\"]SuperscriptBox[\"\", \"th\"] output of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] to input SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] with feedback type SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"j\", \"TI\"]].", + "SystemsModelLabels":"SystemsModelLabels is an option to StateSpaceModel etc. that specifies labels of variables.", + "SystemsModelLinearity":"RowBox[{\"SystemsModelLinearity\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the linearity of the systems model StyleBox[\"sys\", \"TI\"].\nRowBox[{RowBox[{\"SystemsModelLinearity\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}]}], \"]\"}] only considers the subsystem associated with inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]], outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"j\", \"TI\"]], and states SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"k\", \"TI\"]].", + "SystemsModelMerge":"RowBox[{\"SystemsModelMerge\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] merges the systems models SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"j\", \"TI\"]]. ", + "SystemsModelOrder":"RowBox[{\"SystemsModelOrder\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the order of the state-space model StyleBox[\"sys\", \"TI\"].", + "SystemsModelParallelConnect":"RowBox[{\"SystemsModelParallelConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] connects the systems models SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] in parallel.\nRowBox[{\"SystemsModelParallelConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects the inputs SubscriptBox[SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"i\", \"TI\"]] to inputs SubscriptBox[StyleBox[\"in\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] and sums the outputs SubscriptBox[SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"k\", \"TI\"]] and outputs SubscriptBox[SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"k\", \"TI\"]].", + "SystemsModelSeriesConnect":"RowBox[{\"SystemsModelSeriesConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] connects systems models SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] in series. \nRowBox[{\"SystemsModelSeriesConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects outputs SubscriptBox[StyleBox[\"out\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] to inputs SubscriptBox[StyleBox[\"in\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "SystemsModelStateFeedbackConnect":"RowBox[{\"SystemsModelStateFeedbackConnect\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"con\", \"TI\"]}], \"]\"}] connects the states of the systems model StyleBox[\"sys\", \"TI\"] to the controller StyleBox[\"con\", \"TI\"] and the outputs of StyleBox[\"con\", \"TI\"] to the inputs of StyleBox[\"sys\", \"TI\"] in feedback.\nRowBox[{\"SystemsModelStateFeedbackConnect\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"con\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects state SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] of StyleBox[\"sys\", \"TI\"] to the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] input of StyleBox[\"con\", \"TI\"] and the StyleBox[\"j\", \"TI\"]SuperscriptBox[\"\", \"th\"] output of StyleBox[\"con\", \"TI\"] to input SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]] of StyleBox[\"sys\", \"TI\"] with feedback type SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"j\", \"TI\"]]", + "SystemsModelVectorRelativeOrders":"RowBox[{\"SystemsModelVectorRelativeOrders\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the vector-relative orders of the systems model StyleBox[\"sys\", \"TI\"].", + "SystemStub":"RowBox[{\"SystemStub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] saves definitions of given symbols RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and all symbols in the given \"StyleBox[\"context\", \"TI\"]\" specified in source file with encoded path \"StyleBox[\"filename\", \"TI\"]\" and creates auto-loading rules for each symbol SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"i\", \"TI\"]]\nRowBox[{\"SystemStub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[RowBox[{StyleBox[\"e\", \"TI\"], \"s\", StyleBox[\"ym\", \"TI\"]}]], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also saves definitions for extra symbols RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"esym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], but does not create auto-loading rules for them.\nRowBox[{\"SystemStub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"esym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also saves formatting rules for symbols RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for formatting patterns RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", + "TabFilling":"TabFilling is an option for character selections that specifies how a StyleBox[\"Tab\", \"KeyEvent\"] character is represented on the screen.", + "Table":"RowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of StyleBox[\"n\", \"TI\"] copies of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a list of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"i\", \"TI\"] runs from 1 to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list. The list associated with StyleBox[\"i\", \"TI\"] is outermost.", + "TableAlignments":"TableAlignments is an option for TableForm and MatrixForm which specifies how entries in each dimension should be aligned. ", + "TableDepth":"TableDepth is an option for TableForm and MatrixForm which specifies the maximum number of levels to be printed in tabular or matrix format. ", + "TableDirections":"TableDirections is an option for TableForm and MatrixForm which specifies whether successive dimensions should be arranged as rows or columns. ", + "TableForm":"RowBox[{\"TableForm\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] prints with the elements of StyleBox[\"list\", \"TI\"] arranged in an array of rectangular cells. ", + "TableHeadings":"TableHeadings is an option for TableForm and MatrixForm which gives the labels to be printed for entries in each dimension of a table or matrix. ", + "TableSpacing":"TableSpacing is an option for TableForm and MatrixForm which specifies how many spaces should be left between each successive row or column. ", + "TabSpacings":"TabSpacings is an option for character selections that specifies the number of spaces in ems that the cursor advances when the StyleBox[\"Tab\", \"KeyEvent\"] key is pressed.", + "TabView":"RowBox[{\"TabView\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", \" \", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which clicking the tab with label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] displays SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"TabView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] tab be the one currently selected.\nRowBox[{\"TabView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] associates values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] with successive tabs, and makes the tab with value StyleBox[\"v\", \"TI\"] be the one currently selected. \nRowBox[{\"TabView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes the tab labels to be successive integers.", + "TabViewBoxOptions":"RowBox[{TabViewBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TabViewBox objects.", + "TagBox":"RowBox[{TagBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] is a low-level box construct that displays as StyleBox[\"boxes\", \"TI\"] but maintains StyleBox[\"tag\", \"TI\"] to guide the interpretation of StyleBox[\"boxes\", \"TI\"] on input. ", + "TagBoxOptions":"TagBoxOptions is an option that specifies settings for TagBox objects.", + "TaggingRules":"TaggingRules is an option for selections that specifies a list of strings to be associated with a selection.", + "TagSet":"RowBox[{StyleBox[\"f\", \"TI\"], \"\/:\", StyleBox[\"lhs\", \"TI\"], \"=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with the symbol StyleBox[\"f\", \"TI\"]. ", + "TagSetDelayed":"RowBox[{StyleBox[\"f\", \"TI\"], \"\/:\", StyleBox[\"lhs\", \"TI\"], \":=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the delayed value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with the symbol StyleBox[\"f\", \"TI\"]. ", + "TagUnset":"RowBox[{StyleBox[\"f\", \"TI\"], \"\/:\", RowBox[{StyleBox[\"lhs\", \"TI\"], \"=.\"}]}] removes any rules defined for StyleBox[\"lhs\", \"TI\"], associated with the symbol StyleBox[\"f\", \"TI\"]. ", + "Take":"RowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] elements of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the last StyleBox[\"n\", \"TI\"] elements of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list in which elements specified by SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]] are taken at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"]. ", + "TakeDrop":"RowBox[{\"TakeDrop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the pair RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], where SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains the first StyleBox[\"n\", \"TI\"] elements of StyleBox[\"list\", \"TI\"] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] contains the rest.\nRowBox[{\"TakeDrop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}] gives the pair RowBox[{\"{\", RowBox[{RowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}], \",\", RowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}]}], \"}\"}].", + "TakeLargest":"RowBox[{\"TakeLargest\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] numerically largest elements in StyleBox[\"list\", \"TI\"], sorted in descending order.\nRowBox[{\"TakeLargest\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents an operator form of TakeLargest that can be applied to an expression.", + "TakeLargestBy":"RowBox[{\"TakeLargestBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is largest, sorted in descending order.\nRowBox[{\"TakeLargestBy\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents an operator form of TakeLargestBy that can be applied to an expression. ", + "TakeList":"RowBox[{\"TakeList\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list of results obtained by successively taking SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements from StyleBox[\"list\", \"TI\"].\nRowBox[{\"TakeList\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] successively uses the sequence specifications SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"TakeList\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"seqs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seqs\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list in which elements specified by the lists SubscriptBox[StyleBox[\"seqs\", \"TI\"], StyleBox[\"i\", \"TI\"]] are taken at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"].", + "TakeSmallest":"RowBox[{\"TakeSmallest\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] numerically smallest elements in StyleBox[\"list\", \"TI\"], sorted in ascending order.\nRowBox[{\"TakeSmallest\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents an operator form of TakeSmallest that can be applied to an expression.", + "TakeSmallestBy":"RowBox[{\"TakeSmallestBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is smallest, sorted in ascending order.\nRowBox[{\"TakeSmallestBy\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents an operator form of TakeSmallestBy that can be applied to an expression. ", + "TakeWhile":"RowBox[{\"TakeWhile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] gives elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the beginning of StyleBox[\"list\", \"TI\"], continuing so long as RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.", + "Tally":"RowBox[{\"Tally\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] tallies the elements in StyleBox[\"list\", \"TI\"], listing all distinct elements together with their multiplicities.\nRowBox[{\"Tally\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] uses StyleBox[\"test\", \"TI\"] to determine whether pairs of elements should be considered equivalent, and gives a list of the first representatives of each equivalence class, together with their multiplicities.", + "Tan":"RowBox[{\"Tan\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the tangent of StyleBox[\"z\", \"TI\"].", + "Tanh":"RowBox[{\"Tanh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic tangent of StyleBox[\"z\", \"TI\"].", + "TargetDevice":"TargetDevice is an option for certain functions that specifies whether CPU or GPU computation should be attempted.", + "TargetFunctions":"TargetFunctions is an option for functions such as ComplexExpand and FindDistribution that specifies what functions to attempt to generate in the output. ", + "TargetUnits":"TargetUnits is an option used to specify the desired output units for visualization functions operating on Quantity expressions.", + "TaskAbort":"RowBox[{\"TaskAbort\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] generates an interrupt to abort the current execution of a task.", + "TaskExecute":"RowBox[{\"TaskExecute\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] immediately executes an instance of the specified task, independently of any schedule given.", + "TaskObject":"RowBox[{\"TaskObject\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] is an object that represents a background task.", + "TaskRemove":"RowBox[{\"TaskRemove\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] terminates and removes the specified task.", + "TaskResume":"RowBox[{\"TaskResume\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] resumes execution of the specified task.", + "Tasks":"RowBox[{\"Tasks\", \"[\", \"]\"}] gives a list of TaskObject expressions that represent currently submitted tasks.", + "TaskSuspend":"RowBox[{\"TaskSuspend\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] suspends the execution of the specified task.", + "TaskWait":"RowBox[{\"TaskWait\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] waits for the specified task to be completely finished. ", + "TautologyQ":"RowBox[{\"TautologyQ\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives True if all combinations of values of variables make the Boolean function StyleBox[\"bf\", \"TI\"] yield True.\nRowBox[{\"TautologyQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives True if all combinations of values of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] make the Boolean expression StyleBox[\"expr\", \"TI\"] yield True.", + "TelegraphProcess":"RowBox[{\"TelegraphProcess\", \"[\", StyleBox[\"μ\", \"TR\"], \"]\"}] represents a telegraph process with rate StyleBox[\"μ\", \"TR\"].", + "TemplateApply":"RowBox[{\"TemplateApply\", \"[\", StyleBox[\"template\", \"TI\"], \"]\"}] applies a template, evaluating all template elements it contains.\nRowBox[{\"TemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] applies a template, using StyleBox[\"args\", \"TI\"] to fill slots in the template.", + "TemplateBox":"RowBox[{TemplateBox, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] is a low-level box structure that parameterizes the display and evaluation of the boxes SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "TemplateBoxOptions":"TemplateBoxOptions is an option that specifies settings for TemplateBox objects.", + "TemplateExpression":"RowBox[{\"TemplateExpression\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an expression held until a template is applied, and then evaluated.", + "TemplateIf":"RowBox[{\"TemplateIf\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"tclause\", \"TI\"]}], \"]\"}] represents an element of a template object that inserts StyleBox[\"tclause\", \"TI\"] if the condition evaluates to True.\nRowBox[{\"TemplateIf\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"tclause\", \"TI\"], \",\", StyleBox[\"fclause\", \"TI\"]}], \"]\"}] inserts StyleBox[\"fclause\", \"TI\"] if the condition does not evaluate to True.", + "TemplateObject":"RowBox[{\"TemplateObject\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents a template object to be applied using functions like TemplateApply.\nRowBox[{\"TemplateObject\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", + "TemplateSequence":"RowBox[{\"TemplateSequence\", \"[\", RowBox[{StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] represents an element of a template object that yields a sequence consisting of StyleBox[\"body\", \"TI\"] applied to each element in StyleBox[\"list\", \"TI\"].", + "TemplateSlot":"RowBox[{\"TemplateSlot\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a template slot to be filled from the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] argument when the template is applied.\nRowBox[{\"TemplateSlot\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] represents a template slot to be filled from an element with key StyleBox[\"name\", \"TI\"] in an association appearing in the first argument.", + "TemplateWith":"RowBox[{\"TemplateWith\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an element of a template object that evaluates StyleBox[\"expr\", \"TI\"] after replacing RowBox[{\"TemplateSlot\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] with StyleBox[\"value\", \"TI\"].\nRowBox[{\"TemplateWith\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with a list of key-value pairs.", + "TemporalData":"RowBox[{\"TemporalData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents temporal data with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"TemporalData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents a temporal data collection with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ij\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"TemporalData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \"]\"}] represents temporal data specified by time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"TemporalData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a temporal data collection given as lists of time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"ij\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}].", + "TemporalRegularity":"TemporalRegularity is an option for TemporalData, TimeSeries, and EventSeries that controls whether the paths are assumed to be uniformly spaced in time.", + "Temporary":"Temporary is an attribute assigned to symbols which are created as local variables by Module. ", + "TensorContract":"RowBox[{\"TensorContract\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the contraction of StyleBox[\"tensor\", \"TI\"] in the pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}] of slots.", + "TensorDimensions":"RowBox[{\"TensorDimensions\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the list of dimensions of StyleBox[\"tensor\", \"TI\"].", + "TensorExpand":"RowBox[{\"TensorExpand\", \"[\", StyleBox[\"texpr\", \"TI\"], \"]\"}] expands out tensor-related products in the symbolic tensor expression StyleBox[\"texpr\", \"TI\"].", + "TensorProduct":"RowBox[{\"TensorProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the tensor product of the SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "TensorRank":"RowBox[{\"TensorRank\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the rank of StyleBox[\"tensor\", \"TI\"].", + "TensorReduce":"RowBox[{\"TensorReduce\", \"[\", StyleBox[\"texpr\", \"TI\"], \"]\"}] attempts to return a canonical form for the symbolic tensor expression StyleBox[\"texpr\", \"TI\"].", + "TensorSymmetry":"RowBox[{\"TensorSymmetry\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the symmetry of StyleBox[\"tensor\", \"TI\"] under permutations of its slots.\nRowBox[{\"TensorSymmetry\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"slots\", \"TI\"]}], \"]\"}] gives the symmetry under permutation of the specified list of slots.", + "TensorTranspose":"RowBox[{\"TensorTranspose\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"perm\", \"TI\"]}], \"]\"}] represents the tensor obtained by transposing the slots of StyleBox[\"tensor\", \"TI\"] as given by the permutation StyleBox[\"perm\", \"TI\"].", + "TensorWedge":"RowBox[{\"TensorWedge\", \"[\", RowBox[{SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the antisymmetrized tensor product of the SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "TestID":"TestID is an option to VerificationTest that specifies a string used as an identifier for the test.", + "TestReport":"RowBox[{\"TestReport\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a report of the results of the verification tests SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"TestReport\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] runs tests from a file, returning an analysis of the completed test run.", + "TestReportObject":"RowBox[{\"TestReportObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] gives an object that represents the results of TestReport.", + "TestResultObject":"RowBox[{\"TestResultObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] gives an object that represents the results of a VerificationTest.", + "Tetrahedron":"RowBox[{\"Tetrahedron\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled tetrahedron with corners SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]], and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]].\nRowBox[{\"Tetrahedron\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"1\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"2\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"3\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"4\"}], \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"1\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of tetrahedra.", + "TeXForm":"RowBox[{\"TeXForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a TeX version of StyleBox[\"expr\", \"TI\"]. ", + "TeXSave":"RowBox[{\"TeXSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).tex\\\"\",ShowStringCharacters->True], \"]\"}] saves a TeX version of the current input notebook in the front end. \nRowBox[{\"TeXSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).tex\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\).nb\\\"\",ShowStringCharacters->True]}], \"]\"}] saves a TeX version of the notebook from the file RowBox[{StyleBox[\"source\", \"TI\"], \".\", \"nb\"}]. \nRowBox[{\"TeXSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).tex\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"notebook\", \"TI\"]}], \"]\"}] saves a TeX version of the notebook corresponding to the specified notebook object. ", + "Text":"RowBox[{\"Text\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with StyleBox[\"expr\", \"TI\"] in plain text format. \nRowBox[{\"Text\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"coords\", \"TI\"]}], \"]\"}] is a graphics primitive that displays the textual form of StyleBox[\"expr\", \"TI\"] centered at the point specified by StyleBox[\"coords\", \"TI\"]. ", + "Text3DBoxOptions":"RowBox[{Text3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Text3DBox objects.", + "TextAlignment":"TextAlignment is an option for Cell, Style and related constructs which specifies how successive lines of text should be aligned. ", + "TextCases":"RowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a list of all cases of StyleBox[\"form\", \"TI\"] that occur in StyleBox[\"text\", \"TI\"].\nRowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] cases that occur.\nRowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", RowBox[{StyleBox[\"form\", \"TI\"], \"\", StyleBox[\"prop\", \"TI\"]}]}], \"]\"}] gives the specified property for each case of StyleBox[\"form\", \"TI\"].\nRowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", RowBox[{StyleBox[\"form\", \"TI\"], \"\", StyleBox[\"prop\", \"TI\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the specified property for the first StyleBox[\"n\", \"TI\"] cases.", + "TextCell":"RowBox[{\"TextCell\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a text cell that can appear in a StyleBox[\"Wolfram System\", \"RebrandingTerm\"] notebook.\nRowBox[{\"TextCell\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a text cell with the specified style.\nRowBox[{\"TextCell\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a text cell with multiple styles applied to it.", + "TextClipboardType":"TextClipboardType is an option for cells that specifies how StyleBox[\"Edit\", \"MenuName\"]StyleBox[\" ▶ \", \"MenuNameDelimiter\"]StyleBox[\"Copy\", \"MenuName\"] treats a cell when converting it for the system's textual clipboard.", + "TextData":"RowBox[{\"TextData\", \"[\", StyleBox[\"exprs\", \"TI\"], \"]\"}] is a low-level representation of the contents of a textual cell.", + "TextElement":"RowBox[{\"TextElement\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] represents an element of text with the specified properties.\nRowBox[{\"TextElement\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] represents text formed from a sequence of elements.\nRowBox[{\"TextElement\", \"[\", StyleBox[\"elems\", \"TI\"], \"]\"}] represents text where no properties are specified. ", + "TextGrid":"RowBox[{\"TextGrid\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"ij\", \"TI\"]] textually and arranged in a two-dimensional grid. ", + "TextJustification":"TextJustification is an option for Cell and Inset which specifies how much lines of text can be stretched in order to make them be the same length. ", + "TextPacket":"RowBox[{\"TextPacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet containing StyleBox[\"string\", \"TI\"], the text output from StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] as produced by functions such as Print.", + "TextPosition":"RowBox[{\"TextPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a list of the starting and ending positions at which instances of StyleBox[\"form\", \"TI\"] occur in StyleBox[\"text\", \"TI\"].\nRowBox[{\"TextPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions of the first StyleBox[\"n\", \"TI\"] instances that occur.", + "TextRecognize":"RowBox[{\"TextRecognize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] recognizes text in StyleBox[\"image\", \"TI\"] and returns it as a string.\nRowBox[{\"TextRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] returns a list of strings at the specified structural level.\nRowBox[{\"TextRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns StyleBox[\"prop\", \"TI\"] for text at the given level.", + "TextSearch":"RowBox[{\"TextSearch\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] searches for files referenced by StyleBox[\"source\", \"TI\"] that contain text matching StyleBox[\"form\", \"TI\"].\nRowBox[{\"TextSearch\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the property StyleBox[\"prop\", \"TI\"] for each result.", + "TextSearchReport":"RowBox[{\"TextSearchReport\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a structured report of files referenced by StyleBox[\"source\", \"TI\"] that contain text matching StyleBox[\"form\", \"TI\"].", + "TextSentences":"RowBox[{\"TextSentences\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the runs of characters identified as sentences in StyleBox[\"string\", \"TI\"].\nRowBox[{\"TextSentences\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] sentences in StyleBox[\"string\", \"TI\"].", + "TextString":"RowBox[{\"TextString\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a human-readable string representation of StyleBox[\"expr\", \"TI\"].", + "TextStructure":"RowBox[{\"TextStructure\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a nested collection of TextElement objects representing the grammatical structure of natural language text.\nRowBox[{\"TextStructure\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] generates a representation of the type specified by StyleBox[\"form\", \"TI\"] of the grammatical structure of text.", + "TextStyle":"TextStyle is an option for graphics functions and for Text which specifies the default style and font options with which text should be rendered. ", + "TextTranslation":"RowBox[{\"TextTranslation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] translates StyleBox[\"text\", \"TI\"] into the current default language. \nRowBox[{\"TextTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] translates StyleBox[\"text\", \"TI\"] into the language specified by StyleBox[\"lang\", \"TI\"].\nRowBox[{\"TextTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] translates StyleBox[\"text\", \"TI\"] from language SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "Texture":"RowBox[{\"Texture\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] is a graphics directive that specifies that StyleBox[\"obj\", \"TI\"] should be used as a texture on faces of polygons and other filled graphics objects. ", + "TextureCoordinateFunction":"TextureCoordinateFunction is an option to Plot3D and similar functions that specifies a function that computes texture coordinates.", + "TextureCoordinateScaling":"TextureCoordinateScaling is an option to Plot3D and similar functions that specifies whether arguments supplied to a texture coordinate function should be scaled to lie between 0 and 1.", + "TextWords":"RowBox[{\"TextWords\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the runs of characters identified as words in StyleBox[\"string\", \"TI\"].\nRowBox[{\"TextWords\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] words in StyleBox[\"string\", \"TI\"].", + "Therefore":"RowBox[{\"Therefore\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∴\", StyleBox[\"y\", \"TI\"]}].", + "ThermodynamicData":"RowBox[{\"ThermodynamicData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specific property for the substance \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"ThermodynamicData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"Temperature\\\"\",ShowStringCharacters->True], \"\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"\\\"Pressure\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"quantity\", \"TI\"]}]}], \"}\"}]}], \"]\"}] gives the value of the specific property for the substance \"\nStyleBox[\"name\", \"TI\"]\" at the specified temperature and pressure.", + "ThermometerGauge":"RowBox[{\"ThermometerGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a thermometer showing StyleBox[\"value\", \"TI\"] in a range of 0 to 1.\nRowBox[{\"ThermometerGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a thermometer showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"ThermometerGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the thermometer.", + "Thick":"Thick is a graphics directive that specifies that lines which follow should be drawn thick.", + "Thickness":"RowBox[{\"Thickness\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] is a graphics directive which specifies that lines which follow are to be drawn with thickness StyleBox[\"r\", \"TI\"]. The thickness StyleBox[\"r\", \"TI\"] is given as a fraction of the horizontal plot range. ", + "Thin":"Thin is a graphics directive that specifies that lines which follow should be drawn thin.", + "Thinning":"RowBox[{\"Thinning\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds the skeletons of foreground regions in StyleBox[\"image\", \"TI\"] by applying morphological thinning until convergence.\nRowBox[{\"Thinning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] performs StyleBox[\"n\", \"TI\"] iterations of morphological thinning.\nRowBox[{\"Thinning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", + "ThisLink":"ThisLink is used in patterns for external packages to distinguish between several instances of the same package.", + "ThompsonGroupTh":"RowBox[{\"ThompsonGroupTh\", \"[\", \"]\"}] represents the sporadic simple Thompson group Th.", + "Thread":"RowBox[{\"Thread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}], \"]\"}] \"threads\" StyleBox[\"f\", \"TI\"] over any lists that appear in StyleBox[\"args\", \"TI\"]. \nRowBox[{\"Thread\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] threads StyleBox[\"f\", \"TI\"] over any objects with head StyleBox[\"h\", \"TI\"] that appear in StyleBox[\"args\", \"TI\"]. \nRowBox[{\"Thread\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] threads StyleBox[\"f\", \"TI\"] over objects with head StyleBox[\"h\", \"TI\"] that appear in the first StyleBox[\"n\", \"TI\"] StyleBox[\"args\", \"TI\"]. ", + "ThreadDepth":"ThreadDepth is an option for Quantity that specifies the level to which a unit should be threaded across its magnitude.", + "ThreadingLayer":"RowBox[{\"ThreadingLayer\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents a net layer that takes two input tensors and applies a function StyleBox[\"f\", \"TI\"] to corresponding tensor elements.", + "ThreeJSymbol":"RowBox[{\"ThreeJSymbol\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the values of the Wigner 3‐StyleBox[\"j\", \"TI\"] symbol. ", + "Threshold":"RowBox[{\"Threshold\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] thresholds StyleBox[\"data\", \"TI\"] by replacing values close to zero by zero.\nRowBox[{\"Threshold\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] thresholds StyleBox[\"data\", \"TI\"] using threshold specification StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"Threshold\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] thresholds an image.\nRowBox[{\"Threshold\", \"[\", RowBox[{StyleBox[\"sound\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] thresholds a sound object.", + "Through":"RowBox[{\"Through\", \"[\", RowBox[{RowBox[{StyleBox[\"p\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] gives RowBox[{StyleBox[\"p\", \"TI\"], \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}]}], \"]\"}]. \nRowBox[{\"Through\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] performs the transformation wherever StyleBox[\"h\", \"TI\"] occurs in the head of StyleBox[\"expr\", \"TI\"]. ", + "Throw":"RowBox[{\"Throw\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] stops evaluation and returns StyleBox[\"value\", \"TI\"] as the value of the nearest enclosing Catch.\nRowBox[{\"Throw\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] is caught only by RowBox[{\"Catch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}], where StyleBox[\"tag\", \"TI\"] matches StyleBox[\"form\", \"TI\"].", + "ThueMorse":"RowBox[{\"ThueMorse\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term in the Thue–Morse sequence.", + "Thumbnail":"RowBox[{\"Thumbnail\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a thumbnail version of an image.\nRowBox[{\"Thumbnail\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] gives a thumbnail of an image stored in a file.\nRowBox[{\"Thumbnail\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] gives a thumbnail of an image stored at a URL.\nRowBox[{\"Thumbnail\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives a thumbnail with the specified maximum pixel size.", + "Thursday":"Thursday is a day of the week.", + "Ticks":"Ticks is an option for graphics functions that specifies tick marks for axes. ", + "TicksStyle":"TicksStyle is an option for graphics functions which specifies how ticks should be rendered.", + "TideData":"RowBox[{\"TideData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the tidal properties for a location or a set of tidal parameters.\nRowBox[{\"TideData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns the specified property for the location or tidal parameters indicated.\nRowBox[{\"TideData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] returns the value of a specified property for a date or set of dates.", + "Tilde":"RowBox[{\"Tilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∼\", StyleBox[\"y\", \"TI\"], \"∼\", \"…\"}].", + "TildeEqual":"RowBox[{\"TildeEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≃\", StyleBox[\"y\", \"TI\"], \"≃\", \"…\"}].", + "TildeFullEqual":"RowBox[{\"TildeFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≅\", StyleBox[\"y\", \"TI\"], \"≅\", \"…\"}].", + "TildeTilde":"RowBox[{\"TildeTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≈\", StyleBox[\"y\", \"TI\"], \"≈\", \"…\"}].", + "TimeConstrained":"RowBox[{\"TimeConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], stopping after StyleBox[\"t\", \"TI\"] seconds. \nRowBox[{\"TimeConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] returns StyleBox[\"failexpr\", \"TI\"] if the time constraint is not met. ", + "TimeConstraint":"TimeConstraint is an option for various functions that specifies the maximum time to spend doing a particular operation. ", + "TimeDirection":"TimeDirection is an option for Sunrise, Sunset, and related functions that specifies whether the next or last event should be returned.", + "TimeFormat":"TimeFormat is an option that determines the time formatting that is used when formatting a TimeObject using TextString. ", + "TimeGoal":"TimeGoal is an option for various functions that specifies how long to spend doing a particular operation.", + "TimelinePlot":"RowBox[{\"TimelinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a timeline plot with dates SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"TimelinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a timeline plot with events SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"TimelinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a timeline plot from multiple event datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "TimeObject":"RowBox[{\"TimeObject\", \"[\", \"]\"}] represents the current time.\nRowBox[{\"TimeObject\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] represents a time object of standard normalized form.\nRowBox[{\"TimeObject\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the time component of the specified date representation.", + "TimeObjectQ":"RowBox[{\"TimeObjectQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a TimeObject with valid arguments, and False otherwise.", + "Times":"RowBox[{StyleBox[\"x\", \"TI\"], \"*\", StyleBox[\"y\", \"TI\"], \"*\", StyleBox[\"z\", \"TI\"]}], RowBox[{StyleBox[\"x\", \"TI\"], \"×\", StyleBox[\"y\", \"TI\"], \"×\", StyleBox[\"z\", \"TI\"]}], or RowBox[{StyleBox[\"x\", \"TI\"], \" \", StyleBox[\"y\", \"TI\"], \" \", StyleBox[\"z\", \"TI\"]}] represents a product of terms. ", + "TimesBy":"RowBox[{StyleBox[\"x\", \"TI\"], \"*=\", StyleBox[\"c\", \"TI\"]}] multiplies StyleBox[\"x\", \"TI\"] by StyleBox[\"c\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", + "TimeSeries":"RowBox[{\"TimeSeries\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \"]\"}] represents a time series specified by time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"TimeSeries\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents a time series with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].", + "TimeSeriesAggregate":"RowBox[{\"TimeSeriesAggregate\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"]\"}] computes the mean value of StyleBox[\"tseries\", \"TI\"] over non-overlapping windows of width StyleBox[\"dt\", \"TI\"].\nRowBox[{\"TimeSeriesAggregate\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the values of StyleBox[\"tseries\", \"TI\"] in non-overlapping windows of width StyleBox[\"dt\", \"TI\"].", + "TimeSeriesForecast":"RowBox[{\"TimeSeriesForecast\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-step-ahead forecast beyond StyleBox[\"data\", \"TI\"] according to the time series process StyleBox[\"tproc\", \"TI\"].\nRowBox[{\"TimeSeriesForecast\", \"[\", RowBox[{StyleBox[\"tsmod\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-step-ahead forecast for TimeSeriesModel StyleBox[\"tsmod\", \"TI\"]. ", + "TimeSeriesInsert":"RowBox[{\"TimeSeriesInsert\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] inserts a value StyleBox[\"v\", \"TI\"] at time StyleBox[\"t\", \"TI\"] in the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"TimeSeriesInsert\", \"[\", RowBox[{SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] inserts the time-value pairs from SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"2\", \"TR\"]] into SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"1\", \"TR\"]].", + "TimeSeriesInvertibility":"RowBox[{\"TimeSeriesInvertibility\", \"[\", StyleBox[\"tproc\", \"TI\"], \"]\"}] gives conditions for the time series process StyleBox[\"tproc\", \"TI\"] to be invertible. ", + "TimeSeriesMap":"RowBox[{\"TimeSeriesMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tseries\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the values in StyleBox[\"tseries\", \"TI\"].", + "TimeSeriesMapThread":"RowBox[{\"TimeSeriesMapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tseries\", \"TI\"]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"TimeSeriesMapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for the time series StyleBox[\"tseries\", \"TI\"].", + "TimeSeriesModel":"RowBox[{\"TimeSeriesModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic time series model obtained from TimeSeriesModelFit.", + "TimeSeriesModelFit":"RowBox[{\"TimeSeriesModelFit\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] constructs a time series model for StyleBox[\"data\", \"TI\"] from an automatically selected model family.\nRowBox[{\"TimeSeriesModelFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"mspec\", \"TI\"]}], \"]\"}] constructs a time series model for StyleBox[\"data\", \"TI\"] from a model family specified by StyleBox[\"mspec\", \"TI\"].", + "TimeSeriesResample":"RowBox[{\"TimeSeriesResample\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] uniformly resamples StyleBox[\"tseries\", \"TI\"] according to its minimum time increment.\nRowBox[{\"TimeSeriesResample\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"rspec\", \"TI\"]}], \"]\"}] resamples StyleBox[\"tseries\", \"TI\"] according to StyleBox[\"rspec\", \"TI\"].", + "TimeSeriesRescale":"RowBox[{\"TimeSeriesRescale\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] rescales the times in time series StyleBox[\"tseries\", \"TI\"] to run from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"TimeSeriesRescale\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"u\", \"TI\"]]}], \"}\"}]}], \"]\"}] rescales times in units of SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"u\", \"TI\"]] including \"Month\", \"Quarter\", or \"Year\".", + "TimeSeriesShift":"RowBox[{\"TimeSeriesShift\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"shift\", \"TI\"]}], \"]\"}] shifts the time series StyleBox[\"tseries\", \"TI\"] to the left or right according to StyleBox[\"shift\", \"TI\"].", + "TimeSeriesThread":"RowBox[{\"TimeSeriesThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] combines the SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"i\", \"TI\"]] using the function StyleBox[\"f\", \"TI\"].", + "TimeSeriesWindow":"RowBox[{\"TimeSeriesWindow\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the elements of the time series StyleBox[\"tseries\", \"TI\"] that fall between SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].", + "TimeUsed":"RowBox[{\"TimeUsed\", \"[\", \"]\"}] gives the total number of seconds of CPU time used so far in the current StyleBox[\"Wolfram System\", \"RebrandingTerm\"] session. ", + "TimeValue":"RowBox[{\"TimeValue\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] calculates the time value of a security StyleBox[\"s\", \"TI\"] at time StyleBox[\"t\", \"TI\"] for an interest specified by StyleBox[\"i\", \"TI\"].", + "TimeWarpingCorrespondence":"RowBox[{\"TimeWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the time warping (DTW) similarity path between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"TimeWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] uses a window of radius StyleBox[\"r\", \"TI\"] for local search.", + "TimeWarpingDistance":"RowBox[{\"TimeWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the dynamic time warping (DTW) distance between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"TimeWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] uses a window of radius StyleBox[\"r\", \"TI\"] for local search.", + "TimeZone":"TimeZone is an option for DateObject, DateString, and related functions that specifies the time zone to use for dates and times. ", + "TimeZoneConvert":"RowBox[{\"TimeZoneConvert\", \"[\", RowBox[{StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"timezone\", \"TI\"]}], \"]\"}] converts the date or time object StyleBox[\"time\", \"TI\"] to the specified time zone StyleBox[\"timezone\", \"TI\"].\nRowBox[{\"TimeZoneConvert\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] converts to the current $TimeZone value.\nRowBox[{\"TimeZoneConvert\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"timezone\", \"TI\"]}], \"]\"}] converts SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"n\", \"TI\"]] to the specified StyleBox[\"timezone\", \"TI\"].", + "TimeZoneOffset":"RowBox[{\"TimeZoneOffset\", \"[\", StyleBox[\"tz\", \"TI\"], \"]\"}] gives the numeric offset between the time zone StyleBox[\"tz\", \"TI\"] and GMT on the current date.\nRowBox[{\"TimeZoneOffset\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the numeric offset between the time zone for the location StyleBox[\"loc\", \"TI\"] and GMT.\nRowBox[{\"TimeZoneOffset\", \"[\", RowBox[{StyleBox[\"tz\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] gives the numeric offset between StyleBox[\"tz\", \"TI\"] and the specified StyleBox[\"base\", \"TI\"] time zone.\nRowBox[{\"TimeZoneOffset\", \"[\", RowBox[{StyleBox[\"tz\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the numeric offset between StyleBox[\"tz\", \"TI\"] and StyleBox[\"base\", \"TI\"] on the specified StyleBox[\"date\", \"TI\"].", + "Timing":"RowBox[{\"Timing\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], and returns a list of the time in seconds used, together with the result obtained. ", + "Tiny":"Tiny is a style or option setting that specifies that objects should be tiny.", + "TitsGroupT":"RowBox[{\"TitsGroupT\", \"[\", \"]\"}] represents the simple Tits group T.", + "ToBoxes":"RowBox[{ToBoxes, \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] generates boxes corresponding to the printed form of StyleBox[\"expr\", \"TI\"] in StandardForm. \nRowBox[{ToBoxes, \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the boxes corresponding to output in the specified form. ", + "ToCharacterCode":"RowBox[{\"ToCharacterCode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the integer codes corresponding to the characters in a string. \nRowBox[{\"ToCharacterCode\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives integer codes according to the specified encoding. ", + "ToColor":"RowBox[{\"ToColor\", \"[\", RowBox[{StyleBox[\"color\", \"TI\"], \",\", \" \", StyleBox[\"form\", \"TI\"]}], \"]\"}] converts StyleBox[\"color\", \"TI\"] to StyleBox[\"form\", \"TI\"] if StyleBox[\"form\", \"TI\"] is GrayLevel, RGBColor or CMYKColor. Otherwise RowBox[{StyleBox[\"form\", \"TI\"], \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] is evaluated and the result is expected to be a valid color directive.", + "ToContinuousTimeModel":"RowBox[{\"ToContinuousTimeModel\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the continuous-time approximation of the discrete-time systems models StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"ToContinuousTimeModel\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] specifies the transform variable StyleBox[\"s\", \"TI\"].", + "ToDate":"RowBox[{\"ToDate\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] converts an absolute time in seconds since the beginning of January 1, 1900 to a date of the form RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}]. ", + "Today":"Today gives a DateObject representing the current day.", + "ToDiscreteTimeModel":"RowBox[{\"ToDiscreteTimeModel\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] gives the discrete-time approximation, with sampling period StyleBox[\"τ\", \"TR\"], of the continuous-time systems models StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"ToDiscreteTimeModel\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"τ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] specifies the transform variable StyleBox[\"z\", \"TI\"].", + "ToEntity":"RowBox[{\"ToEntity\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns an entity object corresponding to the given expression.\nRowBox[{\"ToEntity\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] returns an entity object of the specified StyleBox[\"type\", \"TI\"] corresponding to StyleBox[\"expr\", \"TI\"].", + "ToeplitzMatrix":"RowBox[{\"ToeplitzMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Toeplitz matrix with first row and first column being successive integers.\nRowBox[{\"ToeplitzMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the Toeplitz matrix whose first column consists of elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ToeplitzMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\", \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the Toeplitz matrix with elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] down the first column, and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] across the first row.", + "ToExpression":"RowBox[{\"ToExpression\", \"[\", StyleBox[\"input\", \"TI\"], \"]\"}] gives the expression obtained by interpreting strings or boxes as StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] input. \nRowBox[{\"ToExpression\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] uses interpretation rules corresponding to the specified form. \nRowBox[{\"ToExpression\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the expression produced before evaluating it. ", + "ToFileName":"RowBox[{\"ToFileName\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"directory\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] assembles a full file name from a directory name and a file name. \nRowBox[{\"ToFileName\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] assembles a full file name from a hierarchy of directory names. \nRowBox[{\"ToFileName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] assembles a single directory name from a hierarchy of directory names. ", + "Together":"RowBox[{\"Together\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] puts terms in a sum over a common denominator, and cancels factors in the result. ", + "Toggler":"RowBox[{\"Toggler\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a toggler button with setting StyleBox[\"x\", \"TI\"], that toggles between True and False. \nRowBox[{\"Toggler\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being toggled if the button is clicked. \nRowBox[{\"Toggler\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a toggler button that cycles through any sequence of values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Toggler\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pict\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pict\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] cycles through values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] displaying them as SubscriptBox[StyleBox[\"pict\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Toggler\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"], \",\", StyleBox[\"dpict\", \"TI\"]}], \"]\"}] displays as StyleBox[\"dpict\", \"TI\"] if StyleBox[\"x\", \"TI\"] is none of the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "TogglerBar":"RowBox[{\"TogglerBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a toggler bar with setting StyleBox[\"x\", \"TI\"] and with toggler buttons for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to include in the list StyleBox[\"x\", \"TI\"].\nRowBox[{\"TogglerBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the values in the list StyleBox[\"x\", \"TI\"] being reset every time a toggler button is clicked.\nRowBox[{\"TogglerBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a toggler bar in which the toggler button associated with value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] has label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "TogglerBoxOptions":"RowBox[{TogglerBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TogglerBox objects.", + "ToInvertibleTimeSeries":"RowBox[{\"ToInvertibleTimeSeries\", \"[\", StyleBox[\"tproc\", \"TI\"], \"]\"}] returns an invertible version of a time series process StyleBox[\"tproc\", \"TI\"].", + "TokenWords":"TokenWords is an option for Read and related functions which gives a list of token words to be used to delimit words. ", + "Tolerance":"Tolerance is an option for various numerical options which specifies the tolerance that should be allowed in computing results.", + "ToLowerCase":"RowBox[{\"ToLowerCase\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which all letters have been converted to lowercase. ", + "Tomorrow":"Tomorrow gives a DateObject representing the following day.", + "ToNumberField":"RowBox[{\"ToNumberField\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] expresses the algebraic number StyleBox[\"a\", \"TI\"] in the number field generated by StyleBox[\"θ\", \"TR\"]. \nRowBox[{\"ToNumberField\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] expresses the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the field generated by StyleBox[\"θ\", \"TR\"].\nRowBox[{\"ToNumberField\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] expresses the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a common extension field generated by a single algebraic number.", + "TooBig":"TooBig is an internal symbol.", + "Tooltip":"RowBox[{\"Tooltip\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] displays StyleBox[\"label\", \"TI\"] as a tooltip while the mouse pointer is in the area where StyleBox[\"expr\", \"TI\"] is displayed. ", + "TooltipBoxOptions":"RowBox[{TooltipBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TooltipBox objects.", + "TooltipDelay":"TooltipDelay is an option for objects such as Tooltip that specifies how long to delay after the mouse is over the object before displaying the tooltip.", + "TooltipStyle":"TooltipStyle is an option for tooltips that specifies the style to use in displaying their elements. ", + "Top":"Top is a symbol that represents the top for purposes of alignment and positioning. ", + "TopHatTransform":"RowBox[{\"TopHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological top-hat transform of StyleBox[\"image\", \"TI\"] with respect to structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"TopHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the top-hat transform with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"TopHatTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies top-hat transform to an array of data.", + "ToPolarCoordinates":"RowBox[{\"ToPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}] polar coordinates corresponding to the Cartesian coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].\nRowBox[{\"ToPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the hyperspherical coordinates corresponding to the Cartesian coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", + "TopologicalSort":"RowBox[{\"TopologicalSort\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of vertices of StyleBox[\"g\", \"TI\"] in topologically sorted order for a directed acyclic graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TopologicalSort\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "ToRadicals":"RowBox[{\"ToRadicals\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] attempts to express all Root objects in StyleBox[\"expr\", \"TI\"] in terms of radicals. ", + "ToRules":"RowBox[{\"ToRules\", \"[\", StyleBox[\"eqns\", \"TI\"], \"]\"}] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve. ", + "ToSphericalCoordinates":"RowBox[{\"ToSphericalCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}] spherical coordinates corresponding to the Cartesian coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}].", + "ToString":"RowBox[{\"ToString\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a string corresponding to the printed form of StyleBox[\"expr\", \"TI\"] in OutputForm. \nRowBox[{\"ToString\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the string corresponding to output in the specified form. ", + "Total":"RowBox[{\"Total\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the total of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Total\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] totals all elements down to level StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Total\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] totals elements at level StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Total\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] totals elements at levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", + "TotalLayer":"RowBox[{\"TotalLayer\", \"[\", \"]\"}] represents a net layer taking a list of input tensors and performing elementwise addition on them.", + "TotalVariationFilter":"RowBox[{\"TotalVariationFilter\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] iteratively reduces noise while preserving rapid transitions in StyleBox[\"data\", \"TI\"].\nRowBox[{\"TotalVariationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] assumes a regularization parameter value StyleBox[\"param\", \"TI\"].", + "TotalWidth":"TotalWidth is an option that can be set for output streams to specify the maximum total number of characters of text that should be printed for each output expression. Short forms of expressions are given if the number of characters needed to print the whole expression is too large. ", + "TouchPosition":"RowBox[{\"TouchPosition\", \"[\", \"]\"}] gives the list of current positions being touched in the notebook front end.\nRowBox[{\"TouchPosition\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the touch positions with respect to the specified coordinate system.\nRowBox[{\"TouchPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the position of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] position being touched in an object in the specified coordinate system.\nRowBox[{\"TouchPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] returns StyleBox[\"def\", \"TI\"] if there are not StyleBox[\"n\", \"TI\"] positions being touched.", + "TouchscreenAutoZoom":"TouchscreenAutoZoom is an option for Manipulate and Graphics3D that determines whether the interface zooms to full-screen when it is activated by touching it on supported touch screen platforms.", + "TouchscreenControlPlacement":"TouchscreenControlPlacement is an option for Manipulate that determines the placement of the slide-out control panel on supported touchscreen platforms.", + "ToUpperCase":"RowBox[{\"ToUpperCase\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which all letters have been converted to uppercase. ", + "Tr":"RowBox[{\"Tr\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the trace of the matrix or tensor StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Tr\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] finds a generalized trace, combining terms with StyleBox[\"f\", \"TI\"] instead of Plus. \nRowBox[{\"Tr\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] goes down to level StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"]. ", + "Trace":"RowBox[{\"Trace\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] generates a list of all expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Trace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] includes only those expressions that match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"Trace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] includes all evaluations that use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. ", + "TraceAbove":"TraceAbove is an option for Trace and related functions which specifies whether to include evaluation chains which contain the evaluation chain containing the pattern StyleBox[\"form\", \"TI\"] sought. ", + "TraceAction":"TraceAction is an option for TracePrint and TraceDialog that specifies the function to be applied to each expression they trace.", + "TraceBackward":"TraceBackward is an option for Trace and related functions which specifies whether to include preceding expressions on the evaluation chain that contains the pattern StyleBox[\"form\", \"TI\"] sought. ", + "TraceDepth":"TraceDepth is an option for Trace and related functions which specifies the maximum nesting of evaluation chains that are to be included. ", + "TraceDialog":"RowBox[{\"TraceDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] initiates a dialog for every expression used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"TraceDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] initiates a dialog only for expressions which match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"TraceDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] initiates dialogs only for expressions whose evaluations use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. ", + "TraceForward":"TraceForward is an option for Trace and related functions which specifies whether to include later expressions on the evaluation chain that contains the pattern StyleBox[\"form\", \"TI\"] sought. ", + "TraceInternal":"TraceInternal is an option for Trace and related functions which, if True or False, specifies whether to trace evaluations of expressions generated internally by Mathematica. The intermediate Automatic setting traces a selected set of internal evaluations including Messages and sets or unsets of visible symbols.", + "TraceLevel":"RowBox[{\"TraceLevel\", \"[\", \"]\"}] returns the level currently being traced when it appears within Trace and related functions.", + "TraceOff":"TraceOff is an option for Trace and related functions which specifies forms inside which tracing should be switched off. ", + "TraceOn":"TraceOn is an option for Trace and related functions which specifies when tracing should be switched on. ", + "TraceOriginal":"TraceOriginal is an option for Trace and related functions which specifies whether to test the form of each expression before its head and arguments are evaluated. ", + "TracePrint":"RowBox[{\"TracePrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints all expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"TracePrint\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] includes only those expressions which match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"TracePrint\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] includes all evaluations which use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. ", + "TraceScan":"RowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to all expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] includes only those expressions which match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] includes all evaluations which use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"fp\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] before evaluation and StyleBox[\"fp\", \"TI\"] after evaluation to expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. ", + "TrackedSymbols":"TrackedSymbols is an option to Refresh, Manipulate, and related functions that specifies which symbols should trigger updates when their values are changed.", + "TrackingFunction":"TrackingFunction is an option for Manipulate controls that specifies functions to use during interactive changing or editing.", + "TracyWidomDistribution":"RowBox[{\"TracyWidomDistribution\", \"[\", StyleBox[\"β\", \"TR\"], \"]\"}] represents a Tracy–Widom distribution with Dyson index StyleBox[\"β\", \"TR\"].", + "TradingChart":"RowBox[{\"TradingChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"open\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"high\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"low\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"close\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"volume\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a chart showing prices and volume for each date. \nRowBox[{\"TradingChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] makes a financial chart for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the StyleBox[\"daterange\", \"TI\"]. \nRowBox[{\"TradingChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a financial chart with indicators SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", + "TraditionalForm":"RowBox[{\"TraditionalForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as an approximation to the traditional mathematical notation for StyleBox[\"expr\", \"TI\"]. ", + "TraditionalFunctionNotation":"TraditionalFunctionNotation is an option for selections that specifies whether input of the form RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"x\", \"TI\"], \")\"}] is interpreted by the kernel as a function or as a product.", + "TrainingProgressCheckpointing":"TrainingProgressCheckpointing is an option for NetTrain that specifies how to save copies of the net during training.", + "TrainingProgressFunction":"TrainingProgressFunction is an option for NetTrain that specifies a function to run periodically during training.", + "TrainingProgressReporting":"TrainingProgressReporting is an option for NetTrain and related functions that specifies how to report the progress of training.", + "TransferFunctionCancel":"RowBox[{\"TransferFunctionCancel\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] cancels common poles and zeros in the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].\nRowBox[{\"TransferFunctionCancel\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] cancels only common pole-zero pairs SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.", + "TransferFunctionExpand":"RowBox[{\"TransferFunctionExpand\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] expands polynomial terms in the numerators and denominators of the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].", + "TransferFunctionFactor":"RowBox[{\"TransferFunctionFactor\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] factors the polynomial terms in the numerators and denominators of the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].", + "TransferFunctionModel":"RowBox[{\"TransferFunctionModel\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents the model of the transfer-function matrix StyleBox[\"m\", \"TI\"] with complex variable StyleBox[\"s\", \"TI\"].\nRowBox[{\"TransferFunctionModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"num\", \"TI\"], \",\", StyleBox[\"den\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] specifies the numerator StyleBox[\"num\", \"TI\"] and denominator StyleBox[\"den\", \"TI\"] of a transfer-function model.\nRowBox[{\"TransferFunctionModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] specifies the zeros StyleBox[\"z\", \"TI\"], poles StyleBox[\"p\", \"TI\"], and gain StyleBox[\"g\", \"TI\"] of a transfer-function model.\nRowBox[{\"TransferFunctionModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the transfer-function model of the systems model StyleBox[\"sys\", \"TI\"].", + "TransferFunctionPoles":"RowBox[{\"TransferFunctionPoles\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] gives a matrix of roots of the denominators in the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].\nRowBox[{\"TransferFunctionPoles\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] only gives the roots inside the region StyleBox[\"reg\", \"TI\"] on the complex plane.", + "TransferFunctionTransform":"RowBox[{\"TransferFunctionTransform\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tf\", \"TI\"]}], \"]\"}] transforms the TransferFunctionModel object StyleBox[\"tf\", \"TI\"] using the transformation function StyleBox[\"f\", \"TI\"].", + "TransferFunctionZeros":"RowBox[{\"TransferFunctionZeros\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] gives a matrix of roots of the numerators in the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].\nRowBox[{\"TransferFunctionZeros\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] only gives the roots inside the region StyleBox[\"reg\", \"TI\"] on the complex plane.", + "TransformationClass":"TransformationClass is an option that specifies the class of geometric transformations to be used.", + "TransformationFunction":"RowBox[{\"TransformationFunction\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a transformation function that applies geometric and other transformations.", + "TransformationFunctions":"TransformationFunctions is an option for Simplify and FullSimplify which gives the list of functions to apply to try to transform parts of an expression. ", + "TransformationMatrix":"RowBox[{\"TransformationMatrix\", \"[\", StyleBox[\"tfun\", \"TI\"], \"]\"}] gives the homogeneous matrix associated with a TransformationFunction object.", + "TransformedDistribution":"RowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] represents the transformed distribution of StyleBox[\"expr\", \"TI\"] where the random variable StyleBox[\"x\", \"TI\"] follows the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] represents the transformed distribution of StyleBox[\"expr\", \"TI\"] where RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"proc\", \"TI\"]}]}], \"]\"}] represents the transformed distribution where StyleBox[\"expr\", \"TI\"] contains expressions of the form RowBox[{StyleBox[\"x\", \"TI\"], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}], referring the value at time StyleBox[\"t\", \"TI\"] from the random process StyleBox[\"proc\", \"TI\"].\nRowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \" \", \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] represents a transformed distribution where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "TransformedField":"RowBox[{\"TransformedField\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}]}], \"]\"}] uses the coordinate transformation StyleBox[\"t\", \"TI\"] to transform the scalar, vector, or tensor field StyleBox[\"f\", \"TI\"] from coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "TransformedProcess":"RowBox[{\"TransformedProcess\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"proc\", \"TI\"]}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the transformed process of StyleBox[\"expr\", \"TI\"] where the variable StyleBox[\"x\", \"TI\"] follows the random process StyleBox[\"proc\", \"TI\"] and StyleBox[\"t\", \"TI\"] denotes the time.\nRowBox[{\"TransformedProcess\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents a transformed process where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the processes SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "TransformedRegion":"RowBox[{\"TransformedRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents the transformed region RowBox[{\"{\", RowBox[{RowBox[{\"f\", \"(\", \"p\", \")\"}], \"|\", RowBox[{\"p\", \"∈\", StyleBox[\"reg\", FontSlant -> \"Italic\"]}]}], \"}\"}], where StyleBox[\"reg\", \"TI\"] is a region and StyleBox[\"f\", \"TI\"] is a function.", + "TransitionDirection":"TransitionDirection is an option for PaneSelector that specifies the direction in which a transition moves.", + "TransitionDuration":"TransitionDuration is an option for PaneSelector that specifies the duration in seconds that a transition effect should last.", + "TransitionEffect":"TransitionEffect is an option for PaneSelector that specifies the visual effect used when transitioning between states.", + "TransitiveClosureGraph":"RowBox[{\"TransitiveClosureGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the transitive closure of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TransitiveClosureGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "TransitiveReductionGraph":"RowBox[{\"TransitiveReductionGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a transitive reduction of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TransitiveReductionGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "Translate":"RowBox[{\"Translate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents graphics primitives StyleBox[\"g\", \"TI\"] translated by the vector RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Translate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents multiple copies of StyleBox[\"g\", \"TI\"] translated by a collection of vectors.", + "TranslationOptions":"RowBox[{\"TranslationOptions\", \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option for Style and Cell that controls how code translations are displayed.", + "TranslationTransform":"RowBox[{\"TranslationTransform\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives a TransformationFunction that represents translation of points by a vector StyleBox[\"v\", \"TI\"].", + "Transliterate":"RowBox[{\"Transliterate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to transliterate StyleBox[\"string\", \"TI\"] into plain ASCII.\nRowBox[{\"Transliterate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"script\", \"TI\"]}], \"]\"}] attempts to transliterate StyleBox[\"string\", \"TI\"] into the specified writing script StyleBox[\"script\", \"TI\"].\nRowBox[{\"Transliterate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] attempts to transliterate StyleBox[\"string\", \"TI\"] from SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "Transparent":"Transparent represents perfect transparency in graphics or style specifications. ", + "Transpose":"RowBox[{\"Transpose\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] transposes the first two levels in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Transpose\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] transposes StyleBox[\"list\", \"TI\"] so that the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] level in StyleBox[\"list\", \"TI\"] is the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]SuperscriptBox[\"\", \"th\"] level in the result. \nRowBox[{\"Transpose\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \"\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] transposes levels StyleBox[\"m\", \"TI\"] and StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"], leaving all other levels unchanged.", + "TransposeLayer":"RowBox[{\"TransposeLayer\", \"[\", \"]\"}] represents a net that transposes the first two levels of its input.\nRowBox[{\"TransposeLayer\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \"<->\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a net that transposes levels StyleBox[\"m\", \"TI\"] and StyleBox[\"n\", \"TI\"] of its input.", + "TravelDirections":"RowBox[{\"TravelDirections\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates directions for travel from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"TravelDirections\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] of travel directions.", + "TravelDirectionsData":"RowBox[{\"TravelDirectionsData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents travel directions generated by TravelDirections.", + "TravelDistance":"RowBox[{\"TravelDistance\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the estimated distance for travel from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "TravelDistanceList":"RowBox[{\"TravelDistanceList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] returns the list RowBox[{\"{\", RowBox[{RowBox[{\"TravelDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"TravelDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[RowBox[{\"n\", \"-\", StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}]}], \"}\"}].", + "TravelMethod":"TravelMethod is an option for TravelDirections and related functions that specifies the mode of transportation to assume.", + "TravelTime":"RowBox[{\"TravelTime\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the estimated time to travel from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", + "TreeForm":"RowBox[{\"TreeForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays StyleBox[\"expr\", \"TI\"] as a tree with different levels at different depths. \nRowBox[{\"TreeForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] as a tree only down to level StyleBox[\"n\", \"TI\"].", + "TreeGraph":"RowBox[{\"TreeGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a tree where SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]] is the predecessor of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a tree with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a tree with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a tree with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \",\", \"…\"}], \"}\"}], \"]\"}] uses rules RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] to specify a tree.", + "TreeGraphQ":"RowBox[{\"TreeGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a tree and False otherwise.", + "TreePlot":"RowBox[{\"TreePlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a tree plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TreePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a tree plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"TreePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"TreePlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places roots of trees in the plot at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"TreePlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"]\"}] uses vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]] as the root node in the tree plot.", + "TrendStyle":"TrendStyle is an option to CandlestickChart, RenkoChart, and other financial charting functions that specifies how to style price trends. ", + "Triangle":"RowBox[{\"Triangle\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled triangle with corner points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]].\nRowBox[{\"Triangle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"13\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of triangles. ", + "TriangleWave":"RowBox[{\"TriangleWave\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a triangle wave that varies between RowBox[{\"-\", \"1\"}] and RowBox[{\"+\", \"1\"}] with unit period.\nRowBox[{\"TriangleWave\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a triangle wave that varies between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] with unit period.", + "TriangularDistribution":"RowBox[{\"TriangularDistribution\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] represents a symmetric triangular statistical distribution giving values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"]. \nRowBox[{\"TriangularDistribution\", \"[\", \"]\"}] represents a symmetric triangular statistical distribution giving values between 0 and 1.\nRowBox[{\"TriangularDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a triangular distribution with mode at StyleBox[\"c\", \"TI\"].", + "TriangulateMesh":"RowBox[{\"TriangulateMesh\", \"[\", StyleBox[\"bmr\", \"TI\"], \"]\"}] generates a MeshRegion by triangulating inside the boundaries of a BoundaryMeshRegion StyleBox[\"bmr\", \"TI\"].", + "Trig":"Trig is an option for various polynomial manipulation functions that specifies whether trigonometric functions should be treated like polynomial elements.", + "TrigExpand":"RowBox[{\"TrigExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out trigonometric functions in StyleBox[\"expr\", \"TI\"]. ", + "TrigFactor":"RowBox[{\"TrigFactor\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] factors trigonometric functions in StyleBox[\"expr\", \"TI\"]. ", + "TrigFactorList":"RowBox[{\"TrigFactorList\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] factors trigonometric functions in StyleBox[\"expr\", \"TI\"], yielding a list of lists containing trigonometric monomials and exponents. ", + "Trigger":"RowBox[{\"Trigger\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \"]\"}] represents a trigger that can be pressed to make the dynamically updated value of StyleBox[\"u\", \"TI\"] be continually increased with time from 0 to 1. \nRowBox[{\"Trigger\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]] when triggered. \nRowBox[{\"Trigger\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary in steps StyleBox[\"du\", \"TI\"] when triggered. \nRowBox[{\"Trigger\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"ups\", \"TI\"]}], \"]\"}] makes the value of StyleBox[\"u\", \"TI\"] increase at a rate of StyleBox[\"ups\", \"TI\"] units per second when triggered. ", + "TrigReduce":"RowBox[{\"TrigReduce\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] rewrites products and powers of trigonometric functions in StyleBox[\"expr\", \"TI\"] in terms of trigonometric functions with combined arguments. ", + "TrigToExp":"RowBox[{\"TrigToExp\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts trigonometric functions in StyleBox[\"expr\", \"TI\"] to exponentials. ", + "TrimmedMean":"RowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the mean of the elements in StyleBox[\"list\", \"TI\"] after dropping a fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements.\nRowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the mean when a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are removed.\nRowBox[{\"TrimmedMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% trimmed mean RowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the trimmed mean of a univariate distribution StyleBox[\"dist\", \"TI\"].", + "TrimmedVariance":"RowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the variance of the elements in StyleBox[\"list\", \"TI\"] after dropping a fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements.\nRowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the variance when a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are removed.\nRowBox[{\"TrimmedVariance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% trimmed variance RowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the trimmed variance of a univariate distribution StyleBox[\"dist\", \"TI\"].", + "TropicalStormData":"RowBox[{\"TropicalStormData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the tropical storm StyleBox[\"entity\", \"TI\"].\nRowBox[{\"TropicalStormData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified tropical storm entities.\nRowBox[{\"TropicalStormData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "True":"True is the symbol for the Boolean value true. ", + "TrueQ":"RowBox[{\"TrueQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is True, and yields False otherwise. ", + "TruncatedDistribution":"RowBox[{\"TruncatedDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution obtained by truncating the values of StyleBox[\"dist\", \"TI\"] to lie between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"TruncatedDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution obtained by truncating the values of the multivariate distribution StyleBox[\"dist\", \"TI\"] to lie between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc.", + "TsallisQExponentialDistribution":"RowBox[{\"TsallisQExponentialDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a Tsallis q-exponential distribution with scale inversely proportional to parameter StyleBox[\"λ\", \"TR\"].", + "TsallisQGaussianDistribution":"RowBox[{\"TsallisQGaussianDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a Tsallis StyleBox[\"q\", \"TI\"]-Gaussian distribution with mean StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and deformation parameter StyleBox[\"q\", \"TI\"].\nRowBox[{\"TsallisQGaussianDistribution\", \"[\", StyleBox[\"q\", \"TI\"], \"]\"}] represents a Tsallis StyleBox[\"q\", \"TI\"]-Gaussian distribution with mean 0 and scale parameter 1.", + "TTest":"RowBox[{\"TTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"TTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"TTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the mean against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"TTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "Tube":"RowBox[{\"Tube\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a 3D tube around the line joining a sequence of points.\nRowBox[{\"Tube\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a tube of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"Tube\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a collection of tubes.\nRowBox[{\"Tube\", \"[\", RowBox[{StyleBox[\"curve\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a tube around the specified 3D curve.", + "TubeBezierCurveBoxOptions":"RowBox[{TubeBezierCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TubeBezierCurveBox objects.", + "TubeBoxOptions":"RowBox[{TubeBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TubeBox objects.", + "TubeBSplineCurveBoxOptions":"RowBox[{TubeBSplineCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TubeBSplineCurveBox objects.", + "Tuesday":"Tuesday is a day of the week.", + "TukeyLambdaDistribution":"RowBox[{\"TukeyLambdaDistribution\", \"[\", StyleBox[\"λ\", \"TR\"], \"]\"}] represents Tukey's lambda distribution with shape parameter StyleBox[\"λ\", \"TR\"].\nRowBox[{\"TukeyLambdaDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents Tukey's lambda distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"TukeyLambdaDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"μ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the generalized Tukey's lambda distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameters SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], and shape parameters SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", + "TukeyWindow":"RowBox[{\"TukeyWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Tukey window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"TukeyWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "TunnelData":"RowBox[{\"TunnelData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the tunnel StyleBox[\"entity\", \"TI\"].\nRowBox[{\"TunnelData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified tunnel entities.\nRowBox[{\"TunnelData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Tuples":"RowBox[{\"Tuples\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of all possible StyleBox[\"n\", \"TI\"]‐tuples of elements from StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Tuples\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of all possible tuples whose StyleBox[\"i\", \"TI\"]RowBox[{\"\", SuperscriptBox[\"\", \"th\"]}] element is from SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "TuranGraph":"RowBox[{\"TuranGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-partite Turán graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"T\", RowBox[{\"n\", \",\", \"k\"}]].", + "TuringMachine":"RowBox[{\"TuringMachine\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a list representing the evolution of the Turing machine with the specified rule from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps. \nRowBox[{\"TuringMachine\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] gives the result of evolving StyleBox[\"init\", \"TI\"] for one step. \nRowBox[{\"TuringMachine\", \"[\", StyleBox[\"rule\", \"TI\"], \"]\"}] is an operator form of TuringMachine that corresponds to one step of evolution.", + "TuttePolynomial":"RowBox[{\"TuttePolynomial\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the Tutte polynomial of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TuttePolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "TwoWayRule":"RowBox[{StyleBox[\"x\", \"TI\"], \"<->\", StyleBox[\"y\", \"TI\"]}] or RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"]}] represents a two-way rule expressing exchange or correspondence of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"].", + "UnateQ":"RowBox[{\"UnateQ\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether the Boolean expression StyleBox[\"bexpr\", \"TI\"] is positive unate in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"UnateQ\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"¬\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{\"¬\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether the Boolean expression StyleBox[\"bexpr\", \"TI\"] is negative unate in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", + "Uncompress":"RowBox[{\"Uncompress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] recovers an expression from a compressed string representation generated by Compress.\nRowBox[{\"Uncompress\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the expression produced before evaluating it. ", + "Undefined":"Undefined is a symbol that represents a quantity with no defined value.", + "UnderBar":"RowBox[{\"UnderBar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a bar under StyleBox[\"expr\", \"TI\"].", + "Underflow":"RowBox[{\"Underflow\", \"[\", \"]\"}] represents a number too small to represent explicitly on your computer system.", + "Underlined":"Underlined represents an underlined font.", + "Underoverscript":"RowBox[{\"Underoverscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is an object that formats as UnderoverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]]. ", + "UnderoverscriptBox":"RowBox[{UnderoverscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the low‐level box representation for UnderoverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]] in notebook expressions. ", + "UnderoverscriptBoxOptions":"UnderoverscriptBoxOptions is an option for selections that specifies settings for UnderoverscriptBox objects.", + "Underscript":"RowBox[{\"Underscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as UnderscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. ", + "UnderscriptBox":"RowBox[{UnderscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for UnderscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", + "UnderscriptBoxOptions":"UnderscriptBoxOptions is an option for selections that specifies settings for UnderscriptBox objects.", + "UnderseaFeatureData":"RowBox[{\"UnderseaFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the undersea feature StyleBox[\"entity\", \"TI\"].\nRowBox[{\"UnderseaFeatureData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified undersea feature entities.\nRowBox[{\"UnderseaFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "UndirectedEdge":"RowBox[{\"UndirectedEdge\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"u\", \"TI\"], \"\", StyleBox[\"v\", \"TI\"]}] represents an undirected edge of a graph with vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "UndirectedGraph":"RowBox[{\"UndirectedGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives an undirected graph from the directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"UndirectedGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "UndirectedGraphQ":"RowBox[{\"UndirectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is an undirected graph and False otherwise.", + "UndoOptions":"UndoOptions is an option for Style that specifies settings for controlling the behavior of the front end's interactive undo\/redo system.", + "UndoTrackedVariables":"UndoTrackedVariables is an option for Manipulate, DynamicModule, and related functions that sets variables that should be tracked by the front end's undo mechanism.", + "Unequal":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"!=\", StyleBox[\"rhs\", \"TI\"]}] or RowBox[{StyleBox[\"lhs\", \"TI\"], \"≠\", StyleBox[\"rhs\", \"TI\"]}] returns False if StyleBox[\"lhs\", \"TI\"] and StyleBox[\"rhs\", \"TI\"] are identical. ", + "UnequalTo":"RowBox[{\"UnequalTo\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields StyleBox[RowBox[{\"x\", \"≠\", \"y\"}], \"TI\"] when applied to an expression StyleBox[\"x\", \"TI\"].", + "Unevaluated":"RowBox[{\"Unevaluated\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents the unevaluated form of StyleBox[\"expr\", \"TI\"] when it appears as the argument to a function. ", + "UniformDistribution":"RowBox[{\"UniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] represents a continuous uniform statistical distribution giving values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"]. \nRowBox[{\"UniformDistribution\", \"[\", \"]\"}] represents a uniform distribution giving values between 0 and 1.\nRowBox[{\"UniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate uniform distribution over the region RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"UniformDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a multivariate uniform distribution over the standard StyleBox[\"n\", \"TI\"] dimensional unit hypercube. ", + "UniformGraphDistribution":"RowBox[{\"UniformGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a uniform graph distribution on StyleBox[\"n\", \"TI\"]-vertex, StyleBox[\"m\", \"TI\"]-edge graphs.", + "UniformSumDistribution":"RowBox[{\"UniformSumDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the distribution of a sum of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from 0 to 1.\nRowBox[{\"UniformSumDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the distribution of a sum of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].", + "Uninstall":"RowBox[{\"Uninstall\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] terminates an external program started by Install, and removes StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] definitions set up by it. ", + "Union":"RowBox[{\"Union\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a sorted list of all the distinct elements that appear in any of the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Union\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a sorted version of a list, in which all duplicated elements have been dropped. ", + "UnionPlus":"RowBox[{\"UnionPlus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊎\", StyleBox[\"y\", \"TI\"], \"⊎\", StyleBox[\"…\", \"TR\"]}].", + "Unique":"RowBox[{\"Unique\", \"[\", \"]\"}] generates a new symbol, whose name is of the form StyleBox[RowBox[{\"$\", StyleBox[\"nnn\", \"TI\"]}]]. \nRowBox[{\"Unique\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] generates a new symbol, with a name of the form StyleBox[RowBox[{StyleBox[\"x\", \"TI\"], \"$\", StyleBox[\"nnn\", \"TI\"]}]]. \nRowBox[{\"Unique\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of new symbols. \nRowBox[{\"Unique\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"xxx\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a new symbol, with a name of the form StyleBox[\"xxxnnn\", \"TI\"]. ", + "UnitaryMatrixQ":"RowBox[{\"UnitaryMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is a unitary matrix, and False otherwise.", + "UnitBox":"RowBox[{UnitBox, \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the unit box function, equal to 1 for RowBox[{RowBox[{\"\", \"x\", \"\"}], \"≤\", FractionBox[\"1\", \"2\"]}] and 0 otherwise.\nRowBox[{UnitBox, \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional unit box function, equal to 1 if RowBox[{RowBox[{\"\", SubscriptBox[\"x\", \"i\"], \"\"}], \"≤\", FractionBox[\"1\", \"2\"]}] and 0 otherwise.", + "UnitConvert":"RowBox[{\"UnitConvert\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"targetunit\", \"TI\"]}], \"]\"}] attempts to convert the specified StyleBox[\"quantity\", \"TI\"] to the specified StyleBox[\"targetunit\", \"TI\"].\nRowBox[{\"UnitConvert\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] converts the specified StyleBox[\"quantity\", \"TI\"] to SI base units.", + "UnitDimensions":"RowBox[{\"UnitDimensions\", \"[\", StyleBox[\"unit\", \"TI\"], \"]\"}] returns a list of base dimensions associated with the specified StyleBox[\"unit\", \"TI\"].\nRowBox[{\"UnitDimensions\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] returns a list of base dimensions associated with the unit of the specified StyleBox[\"quantity\", \"TI\"].", + "Unitize":"RowBox[{\"Unitize\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives 0 when StyleBox[\"x\", \"TI\"] is zero, and 1 when StyleBox[\"x\", \"TI\"] has any other numerical value.", + "UnitRootTest":"RowBox[{\"UnitRootTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether data came from an autoregressive time series process with unit root.\nRowBox[{\"UnitRootTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\nStyleBox[\"\\\"\", \"TI\"] for a given model.", + "UnitSimplify":"RowBox[{\"UnitSimplify\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] attempts to simplify the units of the specified StyleBox[\"quantity\", \"TI\"].", + "UnitStep":"RowBox[{\"UnitStep\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the unit step function, equal to 0 for RowBox[{\"x\", \"<\", \"0\"}] and 1 for RowBox[{\"x\", \"≥\", \"0\"}]. \nRowBox[{\"UnitStep\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional unit step function which is 1 only if none of the SubscriptBox[\"x\", \"i\"] are negative. ", + "UnitSystem":"UnitSystem is an option for functions like AirTemperatureData that determines the units of the result.", + "UnitTriangle":"RowBox[{\"UnitTriangle\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the unit triangle function on the interval RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \"≤\", \"1\"}] .\nRowBox[{\"UnitTriangle\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional unit triangle function on the interval RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\"}], \"≤\", \"1\"}].", + "UnitVector":"RowBox[{\"UnitVector\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] gives the two-dimensional unit vector in the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] direction.\nRowBox[{\"UnitVector\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]-dimensional unit vector in the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] direction.", + "UnitVectorLayer":"RowBox[{\"UnitVectorLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that transforms integers between 1 and StyleBox[\"n\", \"TI\"] into StyleBox[\"n\", \"TI\"]-dimensional unit vectors. \nRowBox[{\"UnitVectorLayer\", \"[\", \"]\"}] leaves the StyleBox[\"n\", \"TI\"] to be inferred from context.", + "UnityDimensions":"UnityDimensions is an option for UnitSimplify that specifies which UnitDimensions should be factored out.", + "UniverseModelData":"RowBox[{\"UniverseModelData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns properties of the universe based on the default model at specification defined by the time after the Big Bang, the distance to the comoving object, or the redshift of such an object.\nRowBox[{\"UniverseModelData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] returns properties of universe StyleBox[\"model\", \"TI\"] at StyleBox[\"spec\", \"TI\"].\nRowBox[{\"UniverseModelData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the specified property at the time or distance StyleBox[\"spec\", \"TI\"].\nRowBox[{\"UniverseModelData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] returns the specified property at the time or distance StyleBox[\"spec\", \"TI\"] for the universe StyleBox[\"model\", \"TI\"].", + "UniversityData":"RowBox[{\"UniversityData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the university StyleBox[\"entity\", \"TI\"].\nRowBox[{\"UniversityData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified university entities.\nRowBox[{\"UniversityData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "UnixTime":"RowBox[{\"UnixTime\", \"[\", \"]\"}] gives the total number of seconds since the beginning of January 1, 1970, in the GMT time zone.\nRowBox[{\"UnixTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives the Unix time specification corresponding to a date list.\nRowBox[{\"UnixTime\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the Unix time specification corresponding to a DateObject.\nRowBox[{\"UnixTime\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the Unix time specification corresponding to a date string.\nRowBox[{\"UnixTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] takes the date string to contain the elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".", + "Unprotect":"RowBox[{\"Unprotect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] removes the attribute Protected for the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Unprotect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] unprotects all symbols whose names textually match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "UnregisterExternalEvaluator":"RowBox[{\"UnregisterExternalEvaluator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"exec\", \"TI\"]}], \"]\"}] unregisters the external evaluator at location StyleBox[\"exec\", \"TI\"] for system StyleBox[\"sys\", \"TI\"] so that it is not used by ExternalEvaluate and related functions.\nRowBox[{\"UnregisterExternalEvaluator\", \"[\", StyleBox[\"uuid\", \"TI\"], \"]\"}] unregisters the external evaluator with the specified registration UUID.", + "UnsameQ":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"=!=\", StyleBox[\"rhs\", \"TI\"]}] yields True if the expression StyleBox[\"lhs\", \"TI\"] is not identical to StyleBox[\"rhs\", \"TI\"], and yields False otherwise. ", + "UnsavedVariables":"UnsavedVariables is an option for Manipulate, DynamicModule, and related functions that specifies local symbols that should not be saved when the notebook containing them is saved.", + "Unset":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"=.\"}] removes any rules defined for StyleBox[\"lhs\", \"TI\"]. ", + "UnsetShared":"RowBox[{\"UnsetShared\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] stops the sharing of the variables or functions SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] among parallel kernels.\nRowBox[{\"UnsetShared\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] stops the sharing of all variables and functions whose names match the string pattern StyleBox[\"patt\", \"TI\"].", + "UpArrow":"RowBox[{\"UpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↑\", StyleBox[\"y\", \"TI\"], \"↑\", StyleBox[\"…\", \"TR\"]}].", + "UpArrowBar":"RowBox[{\"UpArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⤒\", StyleBox[\"y\", \"TI\"], \"⤒\", StyleBox[\"…\", \"TR\"]}].", + "UpArrowDownArrow":"RowBox[{\"UpArrowDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇅\", StyleBox[\"y\", \"TI\"], \"⇅\", StyleBox[\"…\", \"TR\"]}].", + "Update":"RowBox[{\"Update\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] tells StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] that hidden changes have been made which could affect values associated with a symbol. \nRowBox[{\"Update\", \"[\", \"]\"}] specifies that the value of any symbol could be affected. ", + "UpdateInterval":"UpdateInterval is an option to Refresh and Dynamic that specifies at what time interval to do updates.", + "UpdateSearchIndex":"RowBox[{\"UpdateSearchIndex\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] updates the given search index object.\nRowBox[{\"UpdateSearchIndex\", \"[\", StyleBox[StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"TI\"], \"]\"}] updates the search index with the specified name in the RowBox[{\"SearchIndices\", \"[\", \"]\"}] list.", + "UpDownArrow":"RowBox[{\"UpDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↕\", StyleBox[\"y\", \"TI\"], \"↕\", StyleBox[\"…\", \"TR\"]}].", + "UpEquilibrium":"RowBox[{\"UpEquilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥮\", StyleBox[\"y\", \"TI\"], \"⥮\", StyleBox[\"…\", \"TR\"]}].", + "UpperCaseQ":"RowBox[{\"UpperCaseQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are uppercase letters, and yields False otherwise. ", + "UpperLeftArrow":"RowBox[{\"UpperLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↖\", StyleBox[\"y\", \"TI\"], \"↖\", StyleBox[\"…\", \"TR\"]}].", + "UpperRightArrow":"RowBox[{\"UpperRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↗\", StyleBox[\"y\", \"TI\"], \"↗\", StyleBox[\"…\", \"TR\"]}].", + "UpperTriangularize":"RowBox[{\"UpperTriangularize\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a matrix in which all but the upper triangular elements of StyleBox[\"m\", \"TI\"] are replaced with zeros. \nRowBox[{\"UpperTriangularize\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] replaces with zeros only the elements below the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] subdiagonal of StyleBox[\"m\", \"TI\"].", + "Upsample":"RowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns an upsampled version of the array by inserting RowBox[{\"n\", \"-\", \"1\"}] zeros between array elements.\nRowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] shifts StyleBox[\"array\", \"TI\"] so that its first element moves to the position StyleBox[\"offset\", \"TI\"] in the resulting array.\nRowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] inserts RowBox[{\"n\", \"-\", \"1\"}] elements of value StyleBox[\"val\", \"TI\"] between array elements.\nRowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] upsamples an image.", + "UpSet":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"^=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with symbols that occur at level one in StyleBox[\"lhs\", \"TI\"]. ", + "UpSetDelayed":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"^:=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the delayed value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with symbols that occur at level one in StyleBox[\"lhs\", \"TI\"]. ", + "UpTee":"RowBox[{\"UpTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊥\", \"y\"}].", + "UpTeeArrow":"RowBox[{\"UpTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↥\", StyleBox[\"y\", \"TI\"], \"↥\", StyleBox[\"…\", \"TR\"]}].", + "UpTo":"RowBox[{\"UpTo\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a symbolic specification that represents up to StyleBox[\"n\", \"TI\"] objects or positions. If StyleBox[\"n\", \"TI\"] objects or positions are available, all are used. If fewer are available, only those available are used.", + "UpValues":"RowBox[{\"UpValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all upvalues defined for the symbol StyleBox[\"f\", \"TI\"]. ", + "URL":"RowBox[{\"URL\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a symbolic representation of a URL.", + "URLBuild":"RowBox[{\"URLBuild\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"path\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] builds a URL with the specified path and query parameters and values SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"URLBuild\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] builds a URL from the path components SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"URLBuild\", \"[\", RowBox[{StyleBox[\"path\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"]}], \"]\"}] builds a URL from a specification of a path and query parameters.\nRowBox[{\"URLBuild\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] builds a URL from an association of components.\nRowBox[{\"URLBuild\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"]}], \"]\"}] builds a URL from an association of components, plus query parameters and values.", + "URLDecode":"RowBox[{\"URLDecode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] decodes a URL-style percent-encoded string.", + "URLDispatcher":"RowBox[{\"URLDispatcher\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"content\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"content\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a dispatcher for deployed URLs that specifies that URLs with relative paths matching the string patterns SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]] should give content represented by SubscriptBox[StyleBox[\"content\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "URLDownload":"RowBox[{\"URLDownload\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] downloads the content of the specified URL to a local temporary file.\nRowBox[{\"URLDownload\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] downloads the contents of the specified URLs to files in a local temporary directory.\nRowBox[{\"URLDownload\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"file\", \"TI\"]}], \"]\"}] downloads to a specified file.\nRowBox[{\"URLDownload\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] downloads to a specified directory.\nRowBox[{\"URLDownload\", \"[\", RowBox[{StyleBox[\"req\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] downloads the result of the specified HTTP request.\nRowBox[{\"URLDownload\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] downloads the results of the list of HTTP requests.", + "URLDownloadSubmit":"RowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", \" \", StyleBox[\"file\", \"TI\"]}], \"]\"}] submits the specified URL to be downloaded asynchronously to the file given.\nRowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"file\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] submits the specified URL, adding elements with names SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the specified HTTP request.", + "URLEncode":"RowBox[{\"URLEncode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts \"\nStyleBox[\"string\", \"TI\"]\" into a URL-style, percent-encoded ASCII string. ", + "URLExecute":"RowBox[{\"URLExecute\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] executes the specified URL, importing whatever result is generated.\nRowBox[{\"URLExecute\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] executes the specified URL, adding elements with names SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"URLExecute\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] imports the result using the specified format.\nRowBox[{\"URLExecute\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] executes the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"URLExecute\", \"[\", RowBox[{RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] executes the specified HTTP request.", + "URLExpand":"RowBox[{\"URLExpand\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] expands a shortened \"\nStyleBox[\"url\", \"TI\"]\".", + "URLFetch":"URLFetch[url, elements] return elements from url, for any accessible URL.", + "URLFetchAsynchronous":"URLFetchAsynchronous[url, eventFunction] asynchronously connect to a URL", + "URLParse":"RowBox[{\"URLParse\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] takes a well-formed URL and gives an association whose values correspond to the components of the URL.\nRowBox[{\"URLParse\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"component\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns only the specified component.\nRowBox[{\"URLParse\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns only the specified component list.", + "URLQueryDecode":"RowBox[{\"URLQueryDecode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] decodes a URL-style query string into a list of key-value rules. ", + "URLQueryEncode":"RowBox[{\"URLQueryEncode\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] creates a URL-style query string from an association of keys and values. \nRowBox[{\"URLQueryEncode\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a query string from a list of rules.", + "URLRead":"RowBox[{\"URLRead\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] sends a request to a URL and reads back the response, returning it as a response object.\nRowBox[{\"URLRead\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] sends a request to a URL built from an association of components and metadata elements.\nRowBox[{\"URLRead\", \"[\", RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] sends a request specified by a symbolic HTTPRequest object.\nRowBox[{\"URLRead\", \"[\", RowBox[{StyleBox[\"req\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns only the element StyleBox[\"elem\", \"TI\"] from the response.\nRowBox[{\"URLRead\", \"[\", RowBox[{StyleBox[\"req\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns an association of the values of the elements SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"URLRead\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sends the requests SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"i\", \"TI\"]] in parallel, giving a list of the results obtained.", + "URLResponseTime":"RowBox[{\"URLResponseTime\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] gives the total number of seconds to request one byte from the specified URL.\nRowBox[{\"URLResponseTime\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified timing.", + "URLSave":"URLSave[url, file, elements] return elements from url for any accessible URL, and store the content in file. ", + "URLSaveAsynchronous":"URLSaveAsynchronous[url, file, eventFunction] asynchronously connect to a URL, and store the content in a file.", + "URLShorten":"RowBox[{\"URLShorten\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a shortened URL that redirects to \"\nStyleBox[\"url\", \"TI\"]\".\nRowBox[{\"URLShorten\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] creates a shortened URL that redirects to the URL for the specified cloud object.", + "URLSubmit":"RowBox[{\"URLSubmit\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] submits the specified URL to be executed asynchronously.\nRowBox[{\"URLSubmit\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] submits the specified URL, adding elements with names SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"URLSubmit\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"URLSubmit\", \"[\", RowBox[{RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the specified HTTP request.", + "Using":"Using is an option to Roots that specifies any subsidiary equations that are to be used.", + "UsingFrontEnd":"RowBox[{\"UsingFrontEnd\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], making use of a front end if necessary.", + "UtilityFunction":"UtilityFunction is an option for Predict, Classify, and related functions that specifies the utility value to assign to each possible pairing of actual and predicted values.", + "V2Get":"RowBox[{\"V2Get\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] reads in a file written by the V2.x versions.", + "ValidationLength":"ValidationLength is an option to FindSequenceFunction and related functions that specifies the number of elements in the input sequence that should be used to validate a potential representation found.", + "ValidationSet":"ValidationSet is an option for Predict, Classify, NetTrain, and related functions that specifies the validation set to be used during the training phase.", + "ValueBoxOptions":"RowBox[{ValueBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ValueBox objects.", + "ValueDimensions":"ValueDimensions is an option to TemporalData, TimeSeries, and EventSeries that specifies the dimension of the value space. ", + "ValueForm":"ValueForm is an internal symbol.", + "ValuePreprocessingFunction":"ValuePreprocessingFunction is an option for functions such as PersistentValue and InitializationValue that specifies a function to apply to a new value that is being assigned.", + "ValueQ":"RowBox[{\"ValueQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if a value has been defined for StyleBox[\"expr\", \"TI\"], and gives False otherwise. ", + "Values":"RowBox[{\"Values\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a list of the values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] in an association.\nRowBox[{\"Values\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a list of rules.", + "Variables":"RowBox[{\"Variables\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list of all independent variables in a polynomial. ", + "Variance":"RowBox[{\"Variance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the sample variance of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Variance\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the variance of the distribution StyleBox[\"dist\", \"TI\"].", + "VarianceEquivalenceTest":"RowBox[{\"VarianceEquivalenceTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] are equal. \nRowBox[{\"VarianceEquivalenceTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], StyleBox[\",\", \"TI\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "VarianceEstimatorFunction":"VarianceEstimatorFunction is an option for LinearModelFit and NonlinearModelFit which specifies the variance estimator to use.", + "VarianceGammaDistribution":"RowBox[{\"VarianceGammaDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a variance‐gamma distribution with location parameter StyleBox[\"μ\", \"TR\"], skewness parameter StyleBox[\"β\", \"TR\"], and shape parameters StyleBox[\"λ\", \"TR\"] and StyleBox[\"α\", \"TR\"].", + "VarianceTest":"RowBox[{\"VarianceTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of the StyleBox[\"data\", \"TI\"] is one. \nRowBox[{\"VarianceTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"VarianceTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"]], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"]], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"VarianceTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"]], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "VectorAngle":"RowBox[{\"VectorAngle\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the angle between the vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "VectorColorFunction":"VectorColorFunction is an option for VectorPlot and related functions that specifies a function to apply to determine colors of field vectors drawn. ", + "VectorColorFunctionScaling":"VectorColorFunctionScaling is an option for graphics functions which specifies whether arguments supplied to a vector color function should be scaled to lie between 0 and 1. ", + "VectorDensityPlot":"RowBox[{\"VectorDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a vector plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"], superimposed on a density plot of the scalar field StyleBox[\"s\", \"TI\"]. \nRowBox[{\"VectorDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the scalar field to be the norm of the vector field.\nRowBox[{\"VectorDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], StyleBox[\"}\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several vector fields. \nRowBox[{\"VectorDensityPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", + "VectorMarkers":"VectorMarkers is an option for graphics functions like VectorPlot, ListVectorPlot and related functions that specifies what markers to draw at the field points plotted. ", + "VectorPlot":"RowBox[{\"VectorPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a vector plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"VectorPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several vector fields. \nRowBox[{\"VectorPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", + "VectorPlot3D":"RowBox[{\"VectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a 3D vector plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"VectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"field\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"field\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several vector fields.", + "VectorPoints":"VectorPoints is an option to VectorPlot, ListVectorPlot, and related functions that determines how many field vectors to draw. ", + "VectorQ":"RowBox[{\"VectorQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a list or a one‐dimensional SparseArray object, none of whose elements are themselves lists, and gives False otherwise. \nRowBox[{\"VectorQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] gives True only if StyleBox[\"test\", \"TI\"] yields True when applied to each of the elements in StyleBox[\"expr\", \"TI\"]. ", + "Vectors":"RowBox[{\"Vectors\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] represents the domain of vectors of dimension StyleBox[\"d\", \"TI\"].\nRowBox[{\"Vectors\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] represents the domain of vectors of dimension StyleBox[\"d\", \"TI\"], with components in the domain StyleBox[\"dom\", \"TI\"].", + "VectorScale":"VectorScale is an option to VectorPlot, ListVectorPlot, and related functions that determines the length and arrowhead size of field vectors that are drawn. ", + "VectorStyle":"VectorStyle is an option to VectorPlot, ListVectorPlot, and related functions that determines the style to use for drawing field vectors.", + "Vee":"RowBox[{\"Vee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋁\", StyleBox[\"y\", \"TI\"], \"⋁\", \"…\"}].", + "Verbatim":"RowBox[{\"Verbatim\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents StyleBox[\"expr\", \"TI\"] in pattern matching, requiring that StyleBox[\"expr\", \"TI\"] be matched exactly as it appears, with no substitutions for blanks or other transformations. ", + "VerificationTest":"RowBox[{\"VerificationTest\", \"[\", StyleBox[\"input\", \"TI\"], \"]\"}] runs a verification test to determine whether StyleBox[\"input\", \"TI\"] evaluates to True, without issuing messages.\nRowBox[{\"VerificationTest\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"expected\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"input\", \"TI\"] evaluates to StyleBox[\"expected\", \"TI\"], without issuing messages.\nRowBox[{\"VerificationTest\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"expected\", \"TI\"], \",\", StyleBox[\"messages\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"input\", \"TI\"] evaluates to StyleBox[\"expected\", \"TI\"], generating the list of message names StyleBox[\"messages\", \"TI\"].", + "VerifyConvergence":"VerifyConvergence is an option to Sum, NSum, and similar functions that specifies whether convergence checking should be done.", + "VerifySecurityCertificates":"VerifySecurityCertificates is an option for URLRead and related functions that specifies whether to verify security certificates when making an HTTPS connection.", + "VerifySolutions":"VerifySolutions is an option to Solve and related functions that controls whether to verify solutions. ", + "VerifyTestAssumptions":"VerifyTestAssumptions is an option to LocationTest and similar functions that controls which assumptions to verify through diagnostic tests.", + "VertexAdd":"RowBox[{\"VertexAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] makes a graph by adding the vertex StyleBox[\"v\", \"TI\"] to the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds a collection of vertices to StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexAdd\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "VertexCapacity":"VertexCapacity is an option and property for Graph and related functions that specifies a vertex capacity.", + "VertexColors":"VertexColors is an option for graphics primitives which specifies the colors to assign to vertices.", + "VertexComponent":"RowBox[{\"VertexComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the vertices in the graph StyleBox[\"g\", \"TI\"] that have a path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"VertexComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the vertices with a path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of at most length StyleBox[\"k\", \"TI\"].\nRowBox[{\"VertexComponent\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexConnectivity":"RowBox[{\"VertexConnectivity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the vertex connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] vertex connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexConnectivity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexContract":"RowBox[{\"VertexContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] contracts a collection of vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … into a single vertex of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] contracts several collections of vertices. \nRowBox[{\"VertexContract\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexCoordinateRules":"VertexCoordinateRules is an option for GraphPlot and related functions which specifies rules for determining the coordinates at which vertices should be placed.", + "VertexCoordinates":"VertexCoordinates is an option to Graph and related functions that specifies the coordinates to use to place the center of vertices.", + "VertexCorrelationSimilarity":"RowBox[{\"VertexCorrelationSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the correlation similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexCorrelationSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexCosineSimilarity":"RowBox[{\"VertexCosineSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the cosine similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexCosineSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexCount":"RowBox[{\"VertexCount\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a count of the number of vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexCount\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a count of the number of vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"VertexCount\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexCoverQ":"RowBox[{\"VertexCoverQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"]}], \"]\"}] yields True if the vertex list StyleBox[\"vlist\", \"TI\"] is a vertex cover of the graph StyleBox[\"g\", \"TI\"], and False otherwise.", + "VertexDataCoordinates":"VertexDataCoordinates is an option to Raster3D that determines how to map data to the displayed range.", + "VertexDegree":"RowBox[{\"VertexDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertex degrees for all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the vertex degree for the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"VertexDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexDelete":"RowBox[{\"VertexDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] makes a graph by deleting the vertex StyleBox[\"ν\", \"TR\"] and all edges connected to StyleBox[\"v\", \"TI\"] from the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes a collection of vertices from StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] deletes all vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"VertexDelete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexDiceSimilarity":"RowBox[{\"VertexDiceSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Dice similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDiceSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexEccentricity":"RowBox[{\"VertexEccentricity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the length of the longest shortest path from the source StyleBox[\"s\", \"TI\"] to every other vertex in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexEccentricity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "VertexInComponent":"RowBox[{\"VertexInComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the vertices in the graph StyleBox[\"g\", \"TI\"] that have a directed path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"VertexInComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the vertices with a directed path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of at most length StyleBox[\"k\", \"TI\"].\nRowBox[{\"VertexInComponent\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexInDegree":"RowBox[{\"VertexInDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertex in-degrees for all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexInDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the vertex in-degree for the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"VertexInDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexIndex":"RowBox[{\"VertexIndex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the integer index for the vertex StyleBox[\"v\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexIndex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", + "VertexJaccardSimilarity":"RowBox[{\"VertexJaccardSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Jaccard similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexJaccardSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "VertexLabeling":"VertexLabeling is an option for GraphPlot and related functions which specifies whether labeling should be included by default for vertices in graphs.", + "VertexLabels":"VertexLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for vertices.", + "VertexLabelStyle":"VertexLabelStyle is an option and property for Graph and related functions that specifies the style to use for vertex labels.", + "VertexList":"RowBox[{\"VertexList\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertices for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"VertexList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "VertexNormals":"VertexNormals is an option for graphics primitives which specifies the normal directions to assign to 3D vertices.", + "VertexOutComponent":"RowBox[{\"VertexOutComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the vertices in the graph StyleBox[\"g\", \"TI\"] that have a directed path from at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"VertexOutComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the vertices with a directed path from at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of at most length StyleBox[\"k\", \"TI\"].\nRowBox[{\"VertexOutComponent\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "VertexOutDegree":"RowBox[{\"VertexOutDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertex out-degrees for all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexOutDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the vertex out-degree for the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"VertexOutDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "VertexQ":"RowBox[{\"VertexQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"v\", \"TI\"] is a vertex in the graph StyleBox[\"g\", \"TI\"] and False otherwise.", + "VertexRenderingFunction":"VertexRenderingFunction is an option for GraphPlot and related functions that gives a function to generate the graphics primitives to use in rendering each vertex.", + "VertexReplace":"RowBox[{\"VertexReplace\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces each vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the graph StyleBox[\"g\", \"TI\"] by SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"VertexReplace\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "VertexShape":"VertexShape is an option and property for Graph and related functions that specifies the graphics used for vertices.", + "VertexShapeFunction":"VertexShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each vertex. ", + "VertexSize":"VertexSize is an option and property for Graph and related functions that specifies the size used for vertices. ", + "VertexStyle":"VertexStyle is an option and property for Graph and related functions that specifies what style to use for vertices. ", + "VertexTextureCoordinates":"VertexTextureCoordinates is an option for graphics primitives that specifies the texture coordinates to assign to vertices.", + "VertexWeight":"VertexWeight is an option and property for Graph and related functions that specifies a vertex weight.", + "VerticalBar":"RowBox[{\"VerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "VerticalForm":"VerticalForm is an internal symbol used for formatting and printing.", + "VerticalGauge":"RowBox[{\"VerticalGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of 0 to 1.\nRowBox[{\"VerticalGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"VerticalGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the gauge.\nRowBox[{\"VerticalGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a gauge showing multiple values.", + "VerticalSeparator":"RowBox[{\"VerticalSeparator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", + "VerticalSlider":"RowBox[{\"VerticalSlider\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] represents a vertical slider at position StyleBox[\"y\", \"TI\"] with range 0 to 1. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}], \"]\"}] takes the position to be the dynamically updated current value of StyleBox[\"y\", \"TI\"], with the value of StyleBox[\"y\", \"TI\"] being reset if the slider is moved. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a vertical slider with range SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a vertical slider that jumps in steps StyleBox[\"dy\", \"TI\"]. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] represents a slider in which equally spaced intervals correspond to successive settings SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses intervals of relative heights SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", + "VerticalTilde":"RowBox[{\"VerticalTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≀\", StyleBox[\"y\", \"TI\"], \"≀\", \"…\"}].", + "ViewAngle":"ViewAngle is an option for Graphics3D and related functions that gives the opening angle for a simulated camera used to view the three-dimensional scene. ", + "ViewCenter":"ViewCenter is an option for Graphics3D and related functions which gives the scaled coordinates of the point which should appear at the center of the final image. ", + "ViewMatrix":"ViewMatrix is an option for Graphics3D and related functions that can be used to specify a pair of explicit homogeneous transformation and projection matrices for 3D coordinates.", + "ViewPoint":"ViewPoint is an option for Graphics3D and related functions which gives the point in space from which three‐dimensional objects are to be viewed. ", + "ViewProjection":"ViewProjection is an option for three-dimensional graphics that specifies the projection to use for the graphic.", + "ViewRange":"ViewRange is an option for Graphics3D and related functions which specifies the range of distances from the view point to be included in displaying a three-dimensional scene. ", + "ViewVector":"ViewVector is an option for Graphics3D and related functions which specifies the position and direction of a simulated camera used to view three-dimensional objects. ", + "ViewVertical":"ViewVertical is an option for Graphics3D and related functions which specifies what direction in scaled coordinates should be vertical in the final image. ", + "Visible":"Visible is a notebook option which specifies whether the notebook should be explicitly displayed on the screen. ", + "VoigtDistribution":"RowBox[{\"VoigtDistribution\", \"[\", RowBox[{StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents Voigt distribution with parameters StyleBox[\"δ\", \"TR\"] and StyleBox[\"σ\", \"TR\"].", + "VolcanoData":"RowBox[{\"VolcanoData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the volcano StyleBox[\"entity\", \"TI\"].\nRowBox[{\"VolcanoData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified volcano entities.\nRowBox[{\"VolcanoData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Volume":"RowBox[{\"Volume\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the volume of the three-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Volume\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the volume of the parametrized region whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"s\", \"TI\"], StyleBox[\"t\", \"TI\"], StyleBox[\"u\", \"TI\"].\nRowBox[{\"Volume\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", + "VonMisesDistribution":"RowBox[{\"VonMisesDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"κ\", \"TR\"]}], \"]\"}] represents a von Mises distribution with mean StyleBox[\"μ\", \"TR\"] and concentration StyleBox[\"κ\", \"TR\"].", + "VoronoiMesh":"RowBox[{\"VoronoiMesh\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives a MeshRegion representing the Voronoi mesh from the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"VoronoiMesh\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] clips the mesh to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", \"min\"], \",\", SubscriptBox[\"x\", \"max\"]}], \"]\"}], \"×\", \"⋯\"}].", + "WaitAll":"RowBox[{\"WaitAll\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] waits for all concurrent evaluations represented by EvaluationObject expressions in StyleBox[\"expr\", \"TI\"] to finish, then returns the resulting expression obtained.", + "WaitAsynchronousTask":"RowBox[{\"WaitAsynchronousTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] waits for StyleBox[\"task\", \"TI\"] to complete.", + "WaitNext":"RowBox[{\"WaitNext\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] waits until the first evaluation represented by any of the SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"i\", \"TI\"]] finishes, then returns its result, the corresponding SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"i\", \"TI\"]], and the list of remaining SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"k\", \"TI\"]]. ", + "WakebyDistribution":"RowBox[{\"WakebyDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents Wakeby distribution with shape parameters StyleBox[\"β\", \"TR\"] and StyleBox[\"δ\", \"TR\"], scale parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"γ\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", + "WalleniusHypergeometricDistribution":"RowBox[{\"WalleniusHypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"succ\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"tot\", \"TI\"]], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a Wallenius noncentral hypergeometric distribution.", + "WaringYuleDistribution":"RowBox[{\"WaringYuleDistribution\", \"[\", StyleBox[\"α\", \"TR\"], \"]\"}] represents the Yule distribution with shape parameter StyleBox[\"α\", \"TR\"].\nRowBox[{\"WaringYuleDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents the Waring distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].", + "WarpingCorrespondence":"RowBox[{\"WarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the time warping (DTW) similarity path between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"WarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window specified by StyleBox[\"win\", \"TI\"] for local search.", + "WarpingDistance":"RowBox[{\"WarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the dynamic time warping (DTW) distance between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"WarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window specified by StyleBox[\"win\", \"TI\"] for local search.", + "WatershedComponents":"RowBox[{\"WatershedComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] computes the watershed transform of StyleBox[\"image\", \"TI\"], returning the result as an array in which positive integers label the catchment basins.\nRowBox[{\"WatershedComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] uses a binary image StyleBox[\"marker\", \"TI\"] to indicate regions where basins may be created.", + "WatsonUSquareTest":"RowBox[{\"WatsonUSquareTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Watson SuperscriptBox[StyleBox[\"U\", \"TI\"], \"2\"] test.\nRowBox[{\"WatsonUSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Watson SuperscriptBox[StyleBox[\"U\", \"TI\"], \"2\"] test.\nRowBox[{\"WatsonUSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "WattsStrogatzGraphDistribution":"RowBox[{\"WattsStrogatzGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents the Watts–Strogatz graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs with rewiring probability StyleBox[\"p\", \"TI\"].\nRowBox[{\"WattsStrogatzGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the Watts–Strogatz graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs with rewiring probability StyleBox[\"p\", \"TI\"] starting from a RowBox[{\"2\", StyleBox[\"k\", \"TI\"]}]-regular graph.", + "WaveletBestBasis":"RowBox[{\"WaveletBestBasis\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] computes a best basis representation in the DiscreteWaveletData object StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletBestBasis\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"cspec\", \"TI\"]}], \"]\"}] computes a best basis representation using the cost specification StyleBox[\"cspec\", \"TI\"].", + "WaveletFilterCoefficients":"RowBox[{\"WaveletFilterCoefficients\", \"[\", RowBox[{StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"filt\", \"TI\"]}], \"]\"}] gives the filter coefficients for the symbolic wavelet StyleBox[\"wave\", \"TI\"] of type StyleBox[\"filt\", \"TI\"]. ", + "WaveletImagePlot":"RowBox[{\"WaveletImagePlot\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] plots the basis tree of wavelet image coefficients in the DiscreteWaveletData StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletImagePlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] plots coefficients up to refinement level StyleBox[\"r\", \"TI\"].\nRowBox[{\"WaveletImagePlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ifunc\", \"TI\"]}], \"]\"}] applies the image function StyleBox[\"ifunc\", \"TI\"] to coefficients and wavelet indexes before plotting.", + "WaveletListPlot":"RowBox[{\"WaveletListPlot\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] plots wavelet transform coefficients in the DiscreteWaveletData StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletListPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] plots wavelet transform coefficients corresponding to the wavelet index specification StyleBox[\"wind\", \"TI\"].\nRowBox[{\"WaveletListPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to coefficients before plotting. \nRowBox[{\"WaveletListPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots wavelet transform coefficients from several DiscreteWaveletData objects SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", + "WaveletMapIndexed":"RowBox[{\"WaveletMapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"wd\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the arrays of coefficients and indices of a ContinuousWaveletData or DiscreteWaveletData object.\nRowBox[{\"WaveletMapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the DiscreteWaveletData coefficients specified by StyleBox[\"wind\", \"TI\"].\nRowBox[{\"WaveletMapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cwd\", \"TI\"], \",\", StyleBox[\"octvoc\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the ContinuousWaveletData coefficients specified by StyleBox[\"octvoc\", \"TI\"].", + "WaveletMatrixPlot":"RowBox[{\"WaveletMatrixPlot\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] plots the basis tree of wavelet matrix coefficients in the DiscreteWaveletData StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletMatrixPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] plots coefficients up to refinement level StyleBox[\"r\", \"TI\"].\nRowBox[{\"WaveletMatrixPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to coefficients before plotting. ", + "WaveletPhi":"RowBox[{\"WaveletPhi\", \"[\", RowBox[{StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the scaling function RowBox[{\"ϕ\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}] for the symbolic wavelet StyleBox[\"wave\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"WaveletPhi\", \"[\", StyleBox[\"wave\", \"TI\"], \"]\"}] gives the scaling function as a pure function.", + "WaveletPsi":"RowBox[{\"WaveletPsi\", \"[\", RowBox[{StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the wavelet function RowBox[{\"ψ\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}] for the symbolic wavelet StyleBox[\"wave\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"WaveletPsi\", \"[\", StyleBox[\"wave\", \"TI\"], \"]\"}] gives the wavelet function as a pure function.", + "WaveletScale":"WaveletScale is an option for ContinuousWaveletTransform and related constructs used to specify the smallest resolvable scale. ", + "WaveletScalogram":"RowBox[{\"WaveletScalogram\", \"[\", StyleBox[\"wd\", \"TI\"], \"]\"}] plots wavelet vector coefficients in a DiscreteWaveletData or ContinuousWaveletData object StyleBox[\"wd\", \"TI\"].\nRowBox[{\"WaveletScalogram\", \"[\", RowBox[{StyleBox[\"wd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] plots wavelet coefficients corresponding to the wavelet index specification StyleBox[\"wind\", \"TI\"].\nRowBox[{\"WaveletScalogram\", \"[\", RowBox[{StyleBox[\"wd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to coefficients before plotting. ", + "WaveletThreshold":"RowBox[{\"WaveletThreshold\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] thresholds the detail wavelet coefficients in the DiscreteWaveletData object StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletThreshold\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] thresholds the coefficients using the thresholding specification StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"WaveletThreshold\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] thresholds the wavelet coefficients given by the wavelet indices StyleBox[\"wind\", \"TI\"].", + "WeaklyConnectedComponents":"RowBox[{\"WeaklyConnectedComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the weakly connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"WeaklyConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the weakly connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"WeaklyConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"WeaklyConnectedComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "WeaklyConnectedGraphComponents":"RowBox[{\"WeaklyConnectedGraphComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the weakly connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"WeaklyConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the weakly connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"WeaklyConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"WeaklyConnectedGraphComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "WeaklyConnectedGraphQ":"RowBox[{\"WeaklyConnectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is weakly connected, and False otherwise.", + "WeakStationarity":"RowBox[{\"WeakStationarity\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] gives conditions for the process StyleBox[\"proc\", \"TI\"] to be weakly stationary. ", + "WeatherData":"RowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the most recent measurement for the specified weather property at the location corresponding to StyleBox[\"loc\", \"TI\"].\nRowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives all measurements during the specified date.\nRowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a list of dates and measurements for the time interval StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"], \",\", StyleBox[\"step\", \"TI\"]}], \"}\"}]}], \"]\"}] gives measurements aggregated over the time period represented by StyleBox[\"step\", \"TI\"].", + "WeatherForecastData":"RowBox[{\"WeatherForecastData\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the most recent forecast for all weather forecast properties for the specified location.\nRowBox[{\"WeatherForecastData\", \"[\", StyleBox[\"prop\", \"TI\"], \"]\"}] gives the forecast for the specified property for the current location.\nRowBox[{\"WeatherForecastData\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the forecast at the time or times specified by StyleBox[\"date\", \"TI\"] for all properties at the current location.\nRowBox[{\"WeatherForecastData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the forecast for the property at the specified location.\nRowBox[{\"WeatherForecastData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the forecast at the time or times specified by StyleBox[\"datespec\", \"TI\"] for the property at the location.", + "WeberE":"RowBox[{\"WeberE\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Weber function RowBox[{SubscriptBox[StyleBox[\"E\", FontWeight -> \"Bold\", FontSlant -> \"Plain\"], \"ν\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"WeberE\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the associated Weber function RowBox[{SubsuperscriptBox[StyleBox[\"E\", FontWeight -> \"Bold\", FontSlant -> \"Plain\"], \"ν\", \"μ\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", + "WebImageSearch":"RowBox[{\"WebImageSearch\", \"[\", StyleBox[StyleBox[\"\\\"string\\\"\",ShowStringCharacters->True], \"TI\"], \"]\"}] gives a dataset of the top web image search results for the specified literal string.\nRowBox[{\"WebImageSearch\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives the top results obtained by doing the web image search specified by StyleBox[\"form\", \"TI\"].\nRowBox[{\"WebImageSearch\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives the elements of the web image search specified by StyleBox[\"elems\", \"TI\"].", + "WebSearch":"RowBox[{\"WebSearch\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a dataset of the top web search results for the specified literal string.\nRowBox[{\"WebSearch\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives the top results obtained by doing the web search specified by StyleBox[\"form\", \"TI\"].\nRowBox[{\"WebSearch\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives the elements of the web search specified by StyleBox[\"elems\", \"TI\"].", + "Wedge":"RowBox[{\"Wedge\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋀\", StyleBox[\"y\", \"TI\"], \"⋀\", StyleBox[\"…\", \"TR\"]}].", + "Wednesday":"Wednesday is a day of the week.", + "WeibullDistribution":"RowBox[{\"WeibullDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Weibull distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"WeibullDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Weibull distribution with shape parameter StyleBox[\"α\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", + "WeierstrassE1":"RowBox[{\"WeierstrassE1\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the Weierstrass elliptic function ℘ at the half-period RowBox[{SubscriptBox[\"ω\", \"1\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", + "WeierstrassE2":"RowBox[{\"WeierstrassE2\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the Weierstrass elliptic function ℘ at the half-period RowBox[{SubscriptBox[\"ω\", \"2\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", + "WeierstrassE3":"RowBox[{\"WeierstrassE3\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"3\", \"TR\"]] of the Weierstrass elliptic function ℘ at the half-period RowBox[{SubscriptBox[\"ω\", \"3\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", + "WeierstrassEta1":"RowBox[{\"WeierstrassEta1\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"η\", \"TR\"], StyleBox[\"1\", \"TR\"]] of the Weierstrass zeta function StyleBox[\"ζ\", \"TR\"] at the half-period RowBox[{SubscriptBox[\"ω\", \"1\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", + "WeierstrassEta2":"RowBox[{\"WeierstrassEta2\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"η\", \"TR\"], StyleBox[\"2\", \"TR\"]] of the Weierstrass zeta function StyleBox[\"ζ\", \"TR\"] at the half-period RowBox[{SubscriptBox[\"ω\", \"2\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", + "WeierstrassEta3":"RowBox[{\"WeierstrassEta3\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"η\", \"TR\"], StyleBox[\"3\", \"TR\"]] of the Weierstrass zeta function StyleBox[\"ζ\", \"TR\"] at the half-period RowBox[{SubscriptBox[\"ω\", \"3\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", + "WeierstrassHalfPeriods":"RowBox[{\"WeierstrassHalfPeriods\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half‐periods RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}] for Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", FontFamily -> \"Times\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", FontFamily -> \"Times\"]]}], \"}\"}].", + "WeierstrassHalfPeriodW1":"RowBox[{\"WeierstrassHalfPeriodW1\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half-period SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]] for Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}].", + "WeierstrassHalfPeriodW2":"RowBox[{\"WeierstrassHalfPeriodW2\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half-period SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]] for the Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}].", + "WeierstrassHalfPeriodW3":"RowBox[{\"WeierstrassHalfPeriodW3\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half-period SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]] for the Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}].", + "WeierstrassInvariantG2":"RowBox[{\"WeierstrassInvariantG2\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}], \"}\"}], \"]\"}] gives the invariant SubscriptBox[\"g\", \"2\"] for the Weierstrass elliptic functions corresponding to the half‐periods RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}], \"}\"}].", + "WeierstrassInvariantG3":"RowBox[{RowBox[{\"WeierstrassInvariantG3\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}]}]}], \"]\"}] gives the invariant SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]] for the Weierstrass elliptic functions corresponding to the half‐periods RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}], \"}\"}].", + "WeierstrassInvariants":"RowBox[{\"WeierstrassInvariants\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}] for Weierstrass elliptic functions corresponding to the half‐periods RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]. ", + "WeierstrassP":"RowBox[{\"WeierstrassP\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the Weierstrass elliptic function RowBox[{\"℘\", \"(\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \";\", SubscriptBox[StyleBox[\"g\", \"TI\"], \"2\"]}], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], \"3\"]}], \")\"}]. ", + "WeierstrassPPrime":"RowBox[{\"WeierstrassPPrime\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the derivative of the Weierstrass elliptic function RowBox[{\"℘\", \"(\", RowBox[{RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"]}], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]. ", + "WeierstrassSigma":"RowBox[{\"WeierstrassSigma\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the Weierstrass sigma function RowBox[{\"σ\", \"(\", RowBox[{RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"]}], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]. ", + "WeierstrassZeta":"RowBox[{\"WeierstrassZeta\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the Weierstrass zeta function RowBox[{\"ζ\", \"(\", RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]. ", + "WeightedAdjacencyGraph":"RowBox[{\"WeightedAdjacencyGraph\", \"[\", StyleBox[\"wmat\", \"TI\"], \"]\"}] gives the graph with weighted adjacency matrix StyleBox[\"wmat\", \"TI\"].\nRowBox[{\"WeightedAdjacencyGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wmat\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and weighted adjacency matrix StyleBox[\"wmat\", \"TI\"].", + "WeightedAdjacencyMatrix":"RowBox[{\"WeightedAdjacencyMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the adjacency matrix of edge weights of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"WeightedAdjacencyMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", + "WeightedData":"RowBox[{\"WeightedData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"WeightedData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"fn\", \"TI\"]}], \"]\"}] represents observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] with weighting function StyleBox[\"fn\", \"TI\"].", + "WeightedGraphQ":"RowBox[{\"WeightedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a weighted graph and False otherwise.", + "Weights":"Weights is an option for various fitting and other functions which specifies weights to associate with data elements.", + "WelchWindow":"RowBox[{\"WelchWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Welch window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"WelchWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", + "WheelGraph":"RowBox[{\"WheelGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the wheel graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"W\", \"n\"].", + "WhenEvent":"RowBox[{\"WhenEvent\", \"[\", RowBox[{StyleBox[\"event\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] specifies an StyleBox[\"action\", \"TI\"] that occurs when the StyleBox[\"event\", \"TI\"] triggers it for equations in NDSolve and related functions. ", + "Which":"RowBox[{\"Which\", \"[\", RowBox[{SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates each of the SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"i\", \"TI\"]] in turn, returning the value of the SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the first one that yields True. ", + "While":"RowBox[{\"While\", \"[\", RowBox[{StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"test\", \"TI\"], then StyleBox[\"body\", \"TI\"], repetitively, until StyleBox[\"test\", \"TI\"] first fails to give True. ", + "White":"White represents the color white in graphics or style specifications. ", + "WhiteNoiseProcess":"RowBox[{\"WhiteNoiseProcess\", \"[\", \"]\"}] represents a Gaussian white noise process with mean 0 and standard deviation 1.\nRowBox[{\"WhiteNoiseProcess\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents a Gaussian white noise process with mean 0 and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"WhiteNoiseProcess\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] represents a white noise process based on the distribution StyleBox[\"dist\", \"TI\"].", + "WhitePoint":"WhitePoint is an option for ChromaticityPlot and other functions to specify what white point to show.", + "Whitespace":"Whitespace represents a sequence of whitespace characters in StringExpression.", + "WhitespaceCharacter":"WhitespaceCharacter represents a single whitespace character in StringExpression.", + "WhittakerM":"RowBox[{\"WhittakerM\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Whittaker function RowBox[{SubscriptBox[StyleBox[\"M\", \"TI\"], RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "WhittakerW":"RowBox[{\"WhittakerW\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Whittaker function RowBox[{SubscriptBox[StyleBox[\"W\", \"TI\"], RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", + "WienerFilter":"RowBox[{\"WienerFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] removes noise from StyleBox[\"data\", \"TI\"] by applying a range-StyleBox[\"r\", \"TI\"] Wiener filter.\nRowBox[{\"WienerFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ns\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] assumes an additive noise power value StyleBox[\"ns\", \"TI\"].\nRowBox[{\"WienerFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in data.", + "WienerProcess":"RowBox[{\"WienerProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Wiener process with a drift StyleBox[\"μ\", \"TR\"] and volatility StyleBox[\"σ\", \"TR\"].\nRowBox[{\"WienerProcess\", \"[\", \"]\"}] represents a standard Wiener process with drift 0 and volatility 1.", + "WignerD":"RowBox[{\"WignerD\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"ψ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] gives the Wigner D-function RowBox[{SubsuperscriptBox[StyleBox[\"D\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], StyleBox[\"j\", \"TI\"]], \"(\", RowBox[{\"ψ\", \",\", \"θ\", \",\", \"ϕ\"}], \")\"}].\nRowBox[{\"WignerD\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] gives the Wigner D-function RowBox[{SubsuperscriptBox[StyleBox[\"D\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], StyleBox[\"j\", \"TI\"]], \"(\", RowBox[{\"0\", \",\", \"θ\", \",\", \"ϕ\"}], \")\"}].\nRowBox[{\"WignerD\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] gives the Wigner D-function RowBox[{SubsuperscriptBox[StyleBox[\"D\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], StyleBox[\"j\", \"TI\"]], \"(\", RowBox[{\"0\", \",\", \"θ\", \",\", \"0\"}], \")\"}].", + "WignerSemicircleDistribution":"RowBox[{\"WignerSemicircleDistribution\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents a Wigner semicircle distribution with radius StyleBox[\"r\", \"TI\"] centered at the origin.\nRowBox[{\"WignerSemicircleDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a Wigner semicircle distribution with radius StyleBox[\"r\", \"TI\"] centered at StyleBox[\"a\", \"TI\"].", + "WikipediaData":"RowBox[{\"WikipediaData\", \"[\", StyleBox[\"article\", \"TI\"], \"]\"}] gives the plain text of the specified Wikipedia article.\nRowBox[{\"WikipediaData\", \"[\", RowBox[{StyleBox[\"article\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives the value of the specified property, modified by optional parameters, for the given Wikipedia article.\nRowBox[{\"WikipediaData\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"Category\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"category\", \"TI\"]}], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives the value of the specified property, modified by optional parameters, for the given Wikipedia category.\nRowBox[{\"WikipediaData\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"PageID\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"pageid\", \"TI\"]}], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives the value of the specified property, modified by optional parameters, for the article corresponding to the given numerical Wikipedia page ID.", + "WikipediaSearch":"RowBox[{\"WikipediaSearch\", \"[\", StyleBox[\"keywords\", \"TI\"], \"]\"}] returns a list of Wikipedia articles whose titles include the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"Title\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"keywords\", \"TI\"]}], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] returns a list of Wikipedia articles whose titles include the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"Category\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"keywords\", \"TI\"]}], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] returns a list of Wikipedia categories whose titles include the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", RowBox[{StyleBox[\"\\\"Content\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"keywords\", \"TI\"]}], \"]\"}] returns a list of Wikipedia articles whose content includes the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] returns a list of Wikipedia articles whose associated coordinates are near the given location.", + "WilksW":"RowBox[{\"WilksW\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Wilks's StyleBox[\"\", \"TR\"] for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "WilksWTest":"RowBox[{\"WilksWTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"WilksWTest\", \"[\", RowBox[{StyleBox[\"…\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "WindDirectionData":"RowBox[{\"WindDirectionData\", \"[\", \"]\"}] gives the most recent measurement for wind direction near the current location.\nRowBox[{\"WindDirectionData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the wind direction value for the specified time near the current location.\nRowBox[{\"WindDirectionData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for wind direction near the specified location.\nRowBox[{\"WindDirectionData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"WindDirectionData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", + "WindowClickSelect":"WindowClickSelect is a notebook option that specifies whether the window for the notebook should become selected if you click it. ", + "WindowElements":"WindowElements is a notebook option that specifies the elements to include in the window used to display the notebook on the screen. ", + "WindowFloating":"WindowFloating is a notebook option that specifies whether the window for the notebook should float on top of other windows when it is displayed on the screen. ", + "WindowFrame":"WindowFrame is a notebook option that specifies the type of frame to draw around the window in which the notebook is displayed on the screen. ", + "WindowFrameElements":"WindowFrameElements is an option for notebooks that specifies the elements to include in the frame of the window used to display the notebook on the screen.", + "WindowMargins":"WindowMargins is a notebook option that specifies what margins to leave around the window that is used to display the notebook on the screen. ", + "WindowMovable":"WindowMovable is a notebook option that specifies whether to allow the window for the notebook to be moved around interactively on the screen. ", + "WindowOpacity":"WindowOpacity is a notebook option that determines the overall opacity of a displayed window.", + "WindowSize":"WindowSize is a notebook option that specifies the size of window that should be used to display a notebook on the screen. ", + "WindowStatusArea":"WindowStatusArea is a notebook option that specifies what should appear in the status area in the frame of the window used to display the notebook. ", + "WindowTitle":"WindowTitle is an option that specifies the title to give for a window. ", + "WindowToolbars":"WindowToolbars is a notebook option that specifies the toolbars to include at the top of the window used to display the notebook on the screen. ", + "WindSpeedData":"RowBox[{\"WindSpeedData\", \"[\", \"]\"}] gives the most recent measurement for wind speed near the current location.\nRowBox[{\"WindSpeedData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the wind speed value for the specified time near the current location.\nRowBox[{\"WindSpeedData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for wind speed near the specified location.\nRowBox[{\"WindSpeedData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"WindSpeedData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", + "WindVectorData":"RowBox[{\"WindVectorData\", \"[\", \"]\"}] gives the most recent weather station measurement for wind vector near the current location.\nRowBox[{\"WindVectorData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the wind vector value for the specified time near the current location.\nRowBox[{\"WindVectorData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for wind vector near the specified location.\nRowBox[{\"WindVectorData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"WindVectorData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", + "WinsorizedMean":"RowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the mean of the elements in StyleBox[\"list\", \"TI\"] after replacing the fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements by the remaining extreme values.\nRowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the mean when the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are replaced by the remaining extreme values.\nRowBox[{\"WinsorizedMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% winsorized mean RowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the winsorized mean of a univariate distribution StyleBox[\"dist\", \"TI\"].", + "WinsorizedVariance":"RowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the variance of the elements in StyleBox[\"list\", \"TI\"] after replacing the fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements by the remaining extreme values.\nRowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the variance when the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are replaced by the remaining extreme values.\nRowBox[{\"WinsorizedVariance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% winsorized variance RowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the winsorized variance of a univariate distribution StyleBox[\"dist\", \"TI\"].", + "WishartMatrixDistribution":"RowBox[{\"WishartMatrixDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TI\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a Wishart matrix distribution with StyleBox[\"ν\", \"TI\"] degrees of freedom and covariance matrix StyleBox[\"Σ\", \"TR\"].", + "With":"RowBox[{\"With\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies that all occurrences of the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in StyleBox[\"expr\", \"TI\"] should be replaced by SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], …. ", + "WolframAlpha":"RowBox[{\"WolframAlpha\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] sends StyleBox[\"query\", \"TI\"] to Wolfram|Alpha and imports the output.\nRowBox[{\"WolframAlpha\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] imports the output according to the specified format.", + "WolframLanguageData":"RowBox[{\"WolframLanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the Wolfram Language symbol StyleBox[\"entity\", \"TI\"].\nRowBox[{\"WolframLanguageData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified Wolfram Language symbol entities.\nRowBox[{\"WolframLanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "Word":"Word represents a word in Read, Find, and related functions. ", + "WordBoundary":"WordBoundary represents a boundary between words for purposes of matching in StringExpression.", + "WordCharacter":"WordCharacter represents a letter or digit character in StringExpression.", + "WordCloud":"RowBox[{\"WordCloud\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a word cloud graphic in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to their multiplicity in the list. \nRowBox[{\"WordCloud\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"WordCloud\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] also generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"WordCloud\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"WordCloud\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] also generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"WordCloud\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"shape\", \"TI\"]}], \"]\"}] fits the word cloud into the region defined by StyleBox[\"shape\", \"TI\"].", + "WordCount":"RowBox[{\"WordCount\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the total number of words in StyleBox[\"string\", \"TI\"].", + "WordCounts":"RowBox[{\"WordCounts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an association whose keys are the distinct words identified in StyleBox[\"string\", \"TI\"], and whose values give the number of times those words appear in StyleBox[\"string\", \"TI\"].\nRowBox[{\"WordCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives counts of the distinct StyleBox[\"n\", \"TI\"]-grams consisting of runs of StyleBox[\"n\", \"TI\"] words in StyleBox[\"string\", \"TI\"].", + "WordData":"RowBox[{\"WordData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for the English word \"\nStyleBox[\"word\", \"TI\"]\".\nRowBox[{\"WordData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of full word specifications representing possible uses and senses of \"\nStyleBox[\"word\", \"TI\"]\".\nRowBox[{\"WordData\", \"[\", RowBox[{StyleBox[\"wordspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a property for a particular word specification.", + "WordDefinition":"RowBox[{\"WordDefinition\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the dictionary definitions available for \"\nStyleBox[\"word\", \"TI\"]\".", + "WordFrequency":"RowBox[{\"WordFrequency\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"word\", \"TI\"]}], \"]\"}] gives the frequency of StyleBox[\"word\", \"TI\"] in StyleBox[\"text\", \"TI\"].\nRowBox[{\"WordFrequency\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an association of the frequencies of each of the SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "WordFrequencyData":"RowBox[{\"WordFrequencyData\", \"[\", StyleBox[\"word\", \"TI\"], \"]\"}] gives the frequency of StyleBox[\"word\", \"TI\"] in typical published English text.\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an association of frequencies of the SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{StyleBox[\"word\", \"TI\"], \",\", StyleBox[\"\\\"TimeSeries\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a time series for the frequency of StyleBox[\"word\", \"TI\"] in typical published English text.\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{StyleBox[\"word\", \"TI\"], \",\", StyleBox[\"\\\"TimeSeries\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives a time series for dates specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{StyleBox[\"word\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives property StyleBox[\"prop\", \"TI\"] of the word frequency.", + "WordList":"RowBox[{\"WordList\", \"[\", \"]\"}] gives a list of common words.\nRowBox[{\"WordList\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] gives a list of words of the specified type.", + "WordOrientation":"WordOrientation is an option for WordCloud that specifies the orientations in which words appear.", + "WordSearch":"WordSearch is an option for Find and FindList that specifies whether the text searched for must appear as a word. ", + "WordSelectionFunction":"WordSelectionFunction is an option for WordCloud and other functions that specifies which words to use.", + "WordSeparators":"WordSeparators is an option for Read, Find, and related functions that specifies the list of strings to be taken as delimiters for words. ", + "WordSpacings":"WordSpacings is an option for WordCloud that specifies the empty space to be added around each word. ", + "WordStem":"RowBox[{\"WordStem\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a stemmed form of StyleBox[\"word\", \"TI\"], removing plurals, inflections, etc.", + "WordTranslation":"RowBox[{\"WordTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] gives translations for StyleBox[\"word\", \"TI\"] into the language StyleBox[\"lang\", \"TI\"].\nRowBox[{\"WordTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] gives translations for StyleBox[\"word\", \"TI\"] from SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]].", + "WorkingPrecision":"WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations. ", + "WrapAround":"WrapAround is an option for NotebookFind that specifies whether the find operation should continue past the bottom or top of a document.", + "Write":"RowBox[{\"Write\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] writes the expressions SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence, followed by a newline, to the specified output channel.", + "WriteLine":"RowBox[{\"WriteLine\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes \"\nStyleBox[\"string\", \"TI\"]\" to a file, followed by a newline.\nRowBox[{\"WriteLine\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes \"\nStyleBox[\"string\", \"TI\"]\", followed by a newline, to the specified output stream.\nRowBox[{\"WriteLine\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes \"\nStyleBox[\"string\", \"TI\"]\" to an external process StyleBox[\"proc\", \"TI\"].", + "WriteString":"RowBox[{\"WriteString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes \"\nStyleBox[\"string\",\n\"TI\"]\" to a file.\nRowBox[{\"WriteString\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes \"\nStyleBox[\"string\",\n\"TI\"]\" to a stream or process.\nRowBox[{\"WriteString\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] converts the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to strings, and then writes them in sequence to the specified output channel. ", + "Wronskian":"RowBox[{\"Wronskian\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Wronskian determinant for the functions RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}] depending on StyleBox[\"x\", \"TI\"].\nRowBox[{\"Wronskian\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Wronskian determinant for the basis of the solutions of the linear differential equation StyleBox[\"eqn\", \"TI\"] with dependent variable StyleBox[\"y\", \"TI\"] and independent variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Wronskian\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Wronskian determinant for the system of linear differential equations StyleBox[\"eqns\", \"TI\"].", + "XMLElement":"RowBox[{\"XMLElement\", \"[\", RowBox[{StyleBox[\"tag\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"attr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an element in symbolic XML.", + "XMLObject":"RowBox[{\"XMLObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the head of an XML object in symbolic XML.", + "XMLTemplate":"RowBox[{\"XMLTemplate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields a TemplateObject that represents an XML template to be applied using functions like TemplateApply.\nRowBox[{\"XMLTemplate\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] uses RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], RowBox[{\"URL\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], or RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] as the source for the string template.\nRowBox[{\"XMLTemplate\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", + "Xnor":"RowBox[{\"Xnor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical XNOR (not XOR) function. It gives True if an even number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. It gives False if an odd number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. ", + "Xor":"RowBox[{\"Xor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical XOR (exclusive OR) function. It gives True if an odd number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. It gives False if an even number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. ", + "XYZColor":"RowBox[{\"XYZColor\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is a color directive with tristimulus values StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"XYZColor\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", + "Yellow":"Yellow represents the color yellow in graphics or style specifications. ", + "Yesterday":"Yesterday gives a DateObject representing the previous day.", + "YuleDissimilarity":"RowBox[{\"YuleDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Yule dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", + "ZernikeR":"RowBox[{\"ZernikeR\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the radial Zernike polynomial RowBox[{SubsuperscriptBox[\"R\", \"n\", \"m\"], \"(\", \"r\", \")\"}].", + "ZeroSymmetric":"RowBox[{\"ZeroSymmetric\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the symmetry of a zero tensor in the slots SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", + "ZeroTest":"ZeroTest is an option to various linear algebra functions that gives a function to use in testing whether symbolic expressions should be treated as zero.", + "ZeroWidthTimes":"ZeroWidthTimes is an option for selections that specifies whether blank spaces representing multiplication are explicitly shown.", + "Zeta":"RowBox[{\"Zeta\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Riemann zeta function RowBox[{\"ζ\", \"(\", \"s\", \")\"}]. \nRowBox[{\"Zeta\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the generalized Riemann zeta function RowBox[{\"ζ\", \"(\", RowBox[{\"s\", \",\", \"a\"}], \")\"}]. ", + "ZetaZero":"RowBox[{\"ZetaZero\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Riemann zeta function on the critical line.\nRowBox[{\"ZetaZero\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero with imaginary part greater than StyleBox[\"t\", \"TI\"].", + "ZIPCodeData":"RowBox[{\"ZIPCodeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the ZIP code StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ZIPCodeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified ZIP code entities.\nRowBox[{\"ZIPCodeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", + "ZipfDistribution":"RowBox[{\"ZipfDistribution\", \"[\", StyleBox[\"ρ\", \"TR\"], \"]\"}] represents a zeta distribution with parameter StyleBox[\"ρ\", \"TR\"].\nRowBox[{\"ZipfDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents a Zipf distribution with range StyleBox[\"n\", \"TI\"].", + "ZoomCenter":"ZoomCenter is an option for DynamicImage that specifies the position of a zoom window within an image. ", + "ZoomFactor":"ZoomFactor is an option for DynamicImage that specifies the magnification factor of a zoom. ", + "ZTest":"RowBox[{\"ZTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of the StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"ZTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"ZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests for zero or equal means assuming a population variance SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the mean againstRowBox[{\" \", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}].\nRowBox[{\"ZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", + "ZTransform":"RowBox[{\"ZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Z transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"ZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Z transform of StyleBox[\"expr\", \"TI\"].", + "$Aborted":"$Aborted is a special symbol that is returned as the result from a calculation that has been aborted. ", + "$AllowExternalChannelFunctions":"$AllowExternalChannelFunctions specifies whether to allow uncertified external channel functions to be executed by ChannelListen and ChannelSend.", + "$AssertFunction":"$AssertFunction specifies a function to apply to assertions that fail.", + "$Assumptions":"$Assumptions is the default setting for the Assumptions option used in such functions as Simplify, Refine, and Integrate. ", + "$AsynchronousTask":"$AsynchronousTask returns the current AsynchronousTaskObject.", + "$AudioInputDevices":"$AudioInputDevices gives the list of available audio input devices.", + "$AudioOutputDevices":"$AudioOutputDevices gives the list of available audio output devices.", + "$BaseDirectory":"$BaseDirectory gives the base directory in which systemwide files to be loaded by the Wolfram System are conventionally placed. ", + "$BatchInput":"$BatchInput is True if input in the current session is being fed directly to the Wolfram Language kernel in batch mode. ", + "$BatchOutput":"$BatchOutput is True if output in the current session is being sent in batch mode, suitable for reading by other programs. ", + "$BlockchainBase":"$BlockchainBase gives the name of the default blockchain to be used for blockchain computations.", + "$BoxForms":"$BoxForms is the list of box formats.", + "$ByteOrdering":"$ByteOrdering gives the native ordering of bytes in binary data on your computer system. ", + "$CacheBaseDirectory":"$CacheBaseDirectory is the directory on your local file system used for storing cache data.", + "$Canceled":"$Canceled is a symbol returned when notebook input is canceled, for example from a dialog box.", + "$ChannelBase":"$ChannelBase gives the base URI of the server to use for brokering channel communications.", + "$CharacterEncoding":"$CharacterEncoding specifies the default raw character encoding to use for input and output functions. ", + "$CharacterEncodings":"$CharacterEncodings gives the list of character encodings that can be used.", + "$CloudBase":"$CloudBase gives the base URI of the server to use for cloud operations.", + "$CloudConnected":"$CloudConnected gives True if an authenticated connection to the Wolfram Cloud has been set up, and False otherwise.", + "$CloudCreditsAvailable":"$CloudCreditsAvailable gives the total number of cloud credits currently available in the cloud account being used.", + "$CloudEvaluation":"$CloudEvaluation gives True if the current evaluation is occurring in the cloud, and False otherwise.", + "$CloudExpressionBase":"$CloudExpressionBase gives the base URI used for storing cloud expressions.", + "$CloudRootDirectory":"$CloudRootDirectory is the cloud object corresponding to the root directory for the file structure in which the current user's cloud objects are stored.", + "$CloudSymbolBase":"$CloudSymbolBase gives the base for storing the values of CloudSymbol objects.", + "$CloudUserID":"$CloudUserID gives the cloud user ID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation.", + "$CloudUserUUID":"$CloudUserUUID gives the cloud UUID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation.", + "$CloudVersion":"$CloudVersion gives the version of the currently connected cloud server.", + "$CommandLine":"$CommandLine is a list of strings giving the elements of the original operating system command line with which the current instantiation of the Wolfram Language was invoked. ", + "$CompilationTarget":"$CompilationTarget gives the default value for the option CompilationTarget of Compile.", + "$ConditionHold":"$ConditionHold is an internal symbol.", + "$ConfiguredKernels":"$ConfiguredKernels is the default list of kernels that are configured for remote or parallel computing.", + "$Context":"$Context is a global variable that gives the current context. ", + "$ContextPath":"$ContextPath is a global variable that gives a list of contexts to search, before $Context, in trying to find a symbol that has been entered. ", + "$ControlActiveSetting":"$ControlActiveSetting is a symbol whose value is True if it is evaluated while a control is active, or in certain other previewing situations. ", + "$Cookies":"$Cookies is a global variable that contains a list of cookies to be used by functions such as URLExecute.", + "$CookieStore":"$CookieStore gives the location at which to store information on persistent cookies to be used by URLRead and related functions.", + "$CreationDate":"$CreationDate gives the date at which the particular release of the Wolfram Language kernel you are running was created. ", + "$CurrentLink":"$CurrentLink is the LinkObject representing the WSTP connection for an external program currently being installed or being called. ", + "$CurrentTask":"$CurrentTask gives the RowBox[{\"TaskObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] corresponding to the task in which it is being evaluated.", + "$DateStringFormat":"$DateStringFormat gives the default format to use for date strings generated by DateString.", + "$DefaultAudioInputDevice":"$DefaultAudioInputDevice gives the name of the default audio input device attached to the computer.", + "$DefaultAudioOutputDevice":"$DefaultAudioOutputDevice gives the name of the default audio output device attached to the computer.", + "$DefaultFont":"$DefaultFont give a global default setting for the option DefaultFont.", + "$DefaultImagingDevice":"$DefaultImagingDevice gives the name of the default imaging device attached to the computer.", + "$DefaultLocalBase":"$DefaultLocalBase gives the default base directory to use for local object storage.", + "$DefaultNetworkInterface":"$DefaultNetworkInterface gives the default network interface used on your machine.", + "$DefaultPath":"$DefaultPath is the default setting for $Path for this copy of Mathematica session.", + "$Display":"$Display gives a list of files and pipes to be used with the default $DisplayFunction. ", + "$DisplayFunction":"$DisplayFunction gives the default setting for the option DisplayFunction in graphics functions. ", + "$DistributedContexts":"$DistributedContexts is the default value of the DistributedContexts option of functions such as ParallelTable and ParallelMap.", + "$DynamicEvaluation":"$DynamicEvaluation is a symbol whose value is True if it is evaluated as part of the evaluation of a Dynamic.", + "$Echo":"$Echo gives a list of files and pipes to which all input is echoed. ", + "$EmbedCodeEnvironments":"$EmbedCodeEnvironments gives a list of environments currently supported by EmbedCode in your Wolfram Language session.", + "$EmbeddableServices":"$EmbeddableServices gives a list of external embeddable services that can be accessed through EmbeddedService.", + "$EntityStores":"$EntityStores is a global variable that gives a list of all entity stores that are automatically accessed when Entity is used.", + "$Epilog":"$Epilog is a symbol whose value, if any, is evaluated when a dialog or a Wolfram System session is terminated. ", + "$EvaluationCloudBase":"$EvaluationCloudBase gives the base URI of the cloud server on which the current evaluation is being done.", + "$EvaluationCloudObject":"$EvaluationCloudObject gives the cloud object containing the code currently being executed. ", + "$EvaluationEnvironment":"$EvaluationEnvironment gives a string indicating the type of local or cloud environment in which the current Wolfram Language evaluation is being performed. ", + "$ExportFormats":"$ExportFormats gives a list of export formats currently supported in your Wolfram Language session. ", + "$Failed":"$Failed is a special symbol returned by certain functions when they cannot do what they were asked to do. ", + "$FontFamilies":"$FontFamilies gives the list of the font families available to the Wolfram System.", + "$FormatType":"$FormatType gives the default format type to use for text that appears in graphics. ", + "$FrontEnd":"$FrontEnd is a global variable that specifies to what front end object, if any, the kernel is currently connected. ", + "$FrontEndSession":"$FrontEndSession is a global symbol that represents the current session of the front end from which the kernel is being run.", + "$GeoLocation":"$GeoLocation is a settable global variable that specifies the default geodetic location to use.", + "$GeoLocationCity":"$GeoLocationCity gives the city entity for the current setting for $GeoLocation.", + "$GeoLocationCountry":"$GeoLocationCountry gives the country entity for the current setting for $GeoLocation.", + "$GeoLocationSource":"$GeoLocationSource is a string giving the source of the default geodetic location.", + "$HistoryLength":"$HistoryLength specifies the number of previous lines of input and output to keep in a Wolfram System session. ", + "$HomeDirectory":"$HomeDirectory gives your \"home\" directory. ", + "$HTTPCookies":"Returns the list of globally shared cookies.", + "$IgnoreEOF":"$IgnoreEOF specifies whether the Wolfram System should terminate when it receives an end‐of‐file character as input. ", + "$ImageFormattingWidth":"$ImageFormattingWidth gives the default target width at which to wrap when formatting objects.", + "$ImagingDevice":"$ImagingDevice gives the name of the imaging device used to capture images.", + "$ImagingDevices":"$ImagingDevices gives a list of available imaging devices.", + "$ImportFormats":"$ImportFormats gives a list of import formats currently supported in your Wolfram Language session. ", + "$IncomingMailSettings":"$IncomingMailSettings gives the default settings used by MailServerConnect to connect to an incoming mail server.", + "$InitialDirectory":"$InitialDirectory gives the initial directory when the current Wolfram System session was started. ", + "$Initialization":"$Initialization is a symbol whose value, if any, is evaluated with RowBox[{\"ReleaseHold\", \"[\", \"$Initialization\", \"]\"}] at the start of a Wolfram Language session.", + "$InitializationContexts":"$InitializationContexts is a symbol whose value, if any, specifies a list of packages to read with Needs at the start of a Wolfram Language session.", + "$Input":"$Input is a global variable whose value is the name of the stream from which input to the Wolfram Language is currently being sought. ", + "$InputFileName":"$InputFileName is a global variable whose value is the absolute file name of the input file from which input to the Wolfram Language is currently being sought.", + "$InputStreamMethods":"$InputStreamMethods gives the list of input stream methods that can be used.", + "$Inspector":"$Inspector is a global variable which gives a function to apply when the inspector is invoked from an interrupt menu. ", + "$InstallationDate":"$InstallationDate gives the date and time at which the copy of the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] kernel you are running was installed. ", + "$InstallationDirectory":"$InstallationDirectory gives the top‐level directory in which your Wolfram System installation resides. ", + "$InterpreterTypes":"$InterpreterTypes gives a list of the currently available types for the Interpreter function.", + "$IterationLimit":"$IterationLimit gives the maximum length of evaluation chain used in trying to evaluate any expression. ", + "$KernelCount":"$KernelCount gives the number of subkernels available for parallel computations.", + "$KernelID":"$KernelID is a unique ID number assigned to each running parallel kernel.", + "$Language":"$Language is a settable global variable that specifies the default language used by the Wolfram System.", + "$LibraryPath":"$LibraryPath gives the default list of directories to search in attempting to find a library.", + "$LicenseExpirationDate":"$LicenseExpirationDate gives the expiration date for the license under which the Wolfram System is being run.", + "$LicenseID":"$LicenseID is a string that gives the license ID under which the Wolfram System is being run.", + "$LicenseProcesses":"$LicenseProcesses is the number of Mathematica processes currently being run under the license.", + "$LicenseServer":"$LicenseServer is a string that gives the name of the license server that is currently authorizing the Wolfram System to be run.", + "$LicenseSubprocesses":"$LicenseSubprocesses is the number of Mathematica subprocesses currently being run under the license.", + "$Line":"$Line is a global variable that specifies the number of the current input line. ", + "$Linked":"$Linked is True if the Wolfram Language kernel is being run through WSTP. ", + "$LinkSupported":"$LinkSupported is True if WSTP can be used in the version of Mathematica you are running, and is False otherwise.", + "$LocalBase":"$LocalBase gives the base directory to use for local object storage.", + "$LocalSymbolBase":"$LocalSymbolBase gives the base directory for storing values of LocalSymbol objects.", + "$MachineAddresses":"$MachineAddresses gives a list of strings specifying the current IP addresses associated with the computer on which the Wolfram System is being run.", + "$MachineDomain":"$MachineDomain is a string which gives the name of the network domain for the computer on which StyleBox[\"the Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] is being run, if such a name is defined. ", + "$MachineDomains":"$MachineDomains is a list of strings giving the names of the current network domains associated with the computer on which the Wolfram System is being run. ", + "$MachineEpsilon":"$MachineEpsilon gives the difference between 1.0 and the next-nearest number representable as a machine-precision number. ", + "$MachineID":"$MachineID is a string that gives, if possible, a unique identification code for the computer on which the Wolfram System is being run.", + "$MachineName":"$MachineName is a string that gives the assigned name of the computer on which the Wolfram System is being run, if such a name is defined. ", + "$MachinePrecision":"$MachinePrecision gives the number of decimal digits of precision used for machine‐precision numbers. ", + "$MachineType":"$MachineType is a string giving the general type of computer on which the Wolfram System is being run. ", + "$MaxExtraPrecision":"$MaxExtraPrecision gives the maximum number of extra digits of precision to be used in functions such as N. ", + "$MaxLicenseProcesses":"$MaxLicenseProcesses is the maximum number of processes provided by the license.", + "$MaxLicenseSubprocesses":"$MaxLicenseSubprocesses is the maximum number of subprocesses provided by the license.", + "$MaxMachineNumber":"$MaxMachineNumber is the largest machine‐precision number that can be used on a particular computer system. ", + "$MaxNumber":"$MaxNumber gives the maximum arbitrary‐precision number that can be represented on a particular computer system. ", + "$MaxPiecewiseCases":"$MaxPiecewiseCases gives the maximum number of cases to allow in explicit Piecewise objects generated by expanding any single piecewise function. ", + "$MaxPrecision":"$MaxPrecision gives the maximum number of digits of precision to be allowed in arbitrary‐precision numbers. ", + "$MaxRootDegree":"$MaxRootDegree specifies the maximum degree of polynomial to allow in Root objects.", + "$MessageGroups":"$MessageGroups is the list of rules that gives named message groups used in functions like On and Quiet.", + "$MessagePrePrint":"$MessagePrePrint is a global variable whose value, if set, is applied to expressions before they are included in the text of messages. ", + "$MinMachineNumber":"$MinMachineNumber is the smallest positive machine‐precision number that can be represented in normalized form on your computer system. ", + "$MinNumber":"$MinNumber gives the minimum positive arbitrary‐precision number that can be represented on a particular computer system. ", + "$MinPrecision":"$MinPrecision gives the minimum number of digits of precision to be allowed in arbitrary‐precision numbers. ", + "$MobilePhone":"$MobilePhone gives the verified mobile phone number associated with the current user account.", + "$ModuleNumber":"$ModuleNumber gives the current serial number to be used for local variables that are created. ", + "$NetworkConnected":"$NetworkConnected gives True if your computer has a network interface that is active and capable of sending and receiving IP traffic, and False otherwise.", + "$NetworkInterfaces":"$NetworkInterfaces gives the list of network interfaces available on your machine.", + "$NetworkLicense":"$NetworkLicense gives True if using a network license, and False otherwise.", + "$NewMessage":"$NewMessage is a global variable that, if set, is applied to the symbol name and tag of messages that are requested but have not yet been defined. ", + "$NewSymbol":"$NewSymbol is a global variable which, if set, is applied to the name and context of each new symbol that the Wolfram Language creates. ", + "$Notebooks":"$Notebooks is True if the Wolfram System is being used with a notebook‐based front end. ", + "$NoValue":"$NoValue is a special value that can be assigned to an RowBox[{\"InitializationValue\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] object to indicate that the symbol referenced by the initialization value should be initialized with no value.", + "$NumberMarks":"$NumberMarks gives the default value for the option NumberMarks, which specifies whether ` marks should be included in the input form representations of approximate numbers. ", + "$OperatingSystem":"$OperatingSystem is a string giving the type of operating system under which the Wolfram System is being run. ", + "$Output":"$Output gives the list of files and pipes to which standard output from the Wolfram Language is sent. ", + "$OutputForms":"$OutputForms is a list of the formatting functions that get stripped off when wrapped around the output.", + "$OutputSizeLimit":"$OutputSizeLimit specifies the maximum size in bytes of expressions that will automatically be output in their entirety in a Wolfram System notebook. ", + "$OutputStreamMethods":"$OutputStreamMethods gives the list of output stream methods that can be used.", + "$Packages":"$Packages gives a list of the contexts corresponding to all packages which have been loaded in your current Wolfram System session. ", + "$ParentLink":"$ParentLink is the WSTP LinkObject currently used for input and output by the Wolfram Language kernel in a particular session. ", + "$ParentProcessID":"$ParentProcessID gives the ID assigned to the process which invokes the Wolfram Language kernel by the operating system under which it is run. ", + "$PasswordFile":"$PasswordFile is a string giving the password file used when the kernel was started.", + "$Path":"$Path gives the default list of directories to search in attempting to find an external file. ", + "$PathnameSeparator":"$PathnameSeparator is a string used as a separator when full file and directory names are constructed.", + "$PerformanceGoal":"$PerformanceGoal gives the default setting for the option PerformanceGoal for graphics and other algorithmic functions.", + "$Permissions":"$Permissions is the default setting used for the Permissions option when cloud objects are created.", + "$PersistenceBase":"$PersistenceBase gives the default persistence location at which to store new values assigned to PersistentValue objects.", + "$PersistencePath":"$PersistencePath gives the default list of persistence locations at which to look for values assigned to PersistentValue object.", + "$PipeSupported":"$PipeSupported is True if pipes can be used in the version of Mathematica you are running, and is False otherwise.", + "$PlotTheme":"$PlotTheme gives the default setting for the option PlotTheme for graphics functions.", + "$Post":"$Post is a global variable whose value, if set, is applied to every output expression. ", + "$Pre":"$Pre is a global variable whose value, if set, is applied to every input expression. ", + "$PreInitialization":"$PreInitialization is a symbol whose value, if any, is evaluated with RowBox[{\"ReleaseHold\", \"[\", \"$PreInitialization\", \"]\"}] before any other initializations in a Wolfram Language session.", + "$PrePrint":"$PrePrint is a global variable whose value, if set, is applied to every expression before it is printed. ", + "$PreRead":"$PreRead is a global variable whose value, if set, is applied to the text or box form of every input expression before it is fed to the Wolfram Language. ", + "$PrintForms":"$PrintForms is the list of basic print forms. It is automatically updated when Format definitions using new printforms are made.", + "$PrintLiteral":"$PrintLiteral is an internal symbol.", + "$Printout3DPreviewer":"$Printout3DPreviewer gives the default setting for the option Printout3DPreviewer in 3D printing functions.", + "$ProcessID":"$ProcessID gives the ID assigned to the Wolfram Language kernel process by the operating system under which it is run. ", + "$ProcessorCount":"$ProcessorCount gives the number of processor cores available on the computer system on which the Wolfram System is being run.", + "$ProcessorType":"$ProcessorType is a string giving the architecture of the processor on which the Wolfram System is being run. ", + "$ProductInformation":"$ProductInformation is a list of rules giving detailed information about the software product to which the current kernel belongs. ", + "$ProgramName":"$ProgramName is the name of the program being run under the license.", + "$PublisherID":"$PublisherID gives the default ID used to submit resources for publication in the resource system.", + "$RandomState":"$RandomState gives a representation of the internal state of the pseudorandom generator used by Random. ", + "$RecursionLimit":"$RecursionLimit gives the current limit on the number of levels of recursion that the Wolfram Language can use. ", + "$ReleaseNumber":"$ReleaseNumber is an integer which gives the current Wolfram Language kernel release number, and increases in successive releases. ", + "$RequesterAddress":"$RequesterAddress gives the IP address originating an HTTP request that initiated the current evaluation.", + "$RequesterWolframID":"$RequesterWolframID gives the Wolfram ID of an authenticated user requesting the current evaluation. ", + "$RequesterWolframUUID":"$RequesterWolframUUID gives the Wolfram UUID of an authenticated user requesting the current evaluation. ", + "$RootDirectory":"$RootDirectory gives the root directory of your file system.", + "$ScheduledTask":"$ScheduledTask returns within a scheduled task the ScheduledTaskObject or CloudObject for the task.", + "$ScriptCommandLine":"$ScriptCommandLine is a list of strings giving the elements of the command line with which the standalone Wolfram System script was invoked.", + "$ScriptInputString":"$ScriptInputString represents input given on the standard input channel to the original operating system command with which the current instantiation of the Wolfram Language was invoked.", + "$ServiceCreditsAvailable":"$ServiceCreditsAvailable gives the available Service Credits in the user's account. ", + "$Services":"$Services gives a list of external services available through ServiceConnect. ", + "$SessionID":"$SessionID is a number set up to be unique to a particular Wolfram System session. ", + "$SharedFunctions":"$SharedFunctions is the list of functions currently being shared among parallel kernels.", + "$SharedVariables":"$SharedVariables is the list of variables currently being shared among parallel kernels.", + "$SoundDisplayFunction":"$SoundDisplayFunction gives the default setting for the option DisplayFunction in sound functions. ", + "$SourceLink":"$SourceLink specifies the default source to be used for deployed cloud objects.", + "$SummaryBoxDataSizeLimit":"$SummaryBoxDataSizeLimit specifies the maximum size in bytes of expressions that will be stored in displayed summary boxes.", + "$SuppressInputFormHeads":"$SuppressInputFormHeads is a list of the heads of expressions whose InputForm should not be sent automatically to front ends.", + "$SynchronousEvaluation":"$SynchronousEvaluation is a symbol whose value is True if it is evaluated as part of a synchronous evaluation.", + "$SyntaxHandler":"$SyntaxHandler is a global variable that, if set, is applied to any input string that is found to contain a syntax error. ", + "$System":"$System is a string describing the type of computer system on which the Wolfram System is being run. ", + "$SystemCharacterEncoding":"$SystemCharacterEncoding gives the default raw character encoding for the computer system on which the Wolfram System is being run. ", + "$SystemID":"$SystemID is a short string that identifies the type of computer system on which the Wolfram System is being run. ", + "$SystemShell":"$SystemShell is a symbol that specifies the system shell for the OS that is currently being used. ", + "$SystemTimeZone":"$SystemTimeZone gives the current time zone for the computer system on which the Wolfram System is being run.", + "$SystemWordLength":"$SystemWordLength gives the effective number of bits in raw machine words on the computer system where the Wolfram System is running.", + "$TemplatePath":"$TemplatePath gives the default list of directories to search in attempting to find a template file. ", + "$TemporaryDirectory":"$TemporaryDirectory gives the main system directory for temporary files on your computer system.", + "$TemporaryPrefix":"$TemporaryPrefix is a string that gives the path and beginning of the name for files and directories that are created by OpenWrite and CreateDirectory when no explicit file is specified.", + "$TextStyle":"$TextStyle gives the default style to use for text in graphics. ", + "$TimedOut":"$TimedOut is a special symbol returned by certain functions when an operation times out.", + "$TimeUnit":"$TimeUnit gives the minimum time interval in seconds recorded on your computer system. ", + "$TimeZone":"$TimeZone gives the current time zone to assume for dates and times. ", + "$TimeZoneEntity":"$TimeZoneEntity gives the time zone Entity corresponding to the locale setting for your computer operating system.", + "$TracePattern":"$TracePattern is the currently active pattern argument to Trace and related functions. It can be reset during the trace to alter the set of expressions recorded or printed.", + "$TracePostAction":"$TracePostAction is the currently active fourth argument to TraceScan (or the equivalent in related functions). It can be reset during the trace to alter the action taken after intercepted expressions are evaluated.", + "$TracePreAction":"$TracePreAction is the currently active first argument to TraceScan (or the equivalent in related functions). It can be reset during the trace to alter the action taken before intercepted expressions are evaluated.", + "$UnitSystem":"$UnitSystem gives the unit system to assume for returned quantities.", + "$Urgent":"$Urgent gives the list of files and pipes to which urgent output from the Wolfram Language is sent. ", + "$UserAgentString":"$UserAgentString gives the user agent string from an HTTP request that initiated the current evaluation.", + "$UserBaseDirectory":"$UserBaseDirectory gives the base directory in which user‐specific files to be loaded by the Wolfram System are conventionally placed. ", + "$UserDocumentsDirectory":"$UserDocumentsDirectory gives your default \"documents\" directory. ", + "$UserName":"$UserName gives the login name of the user who invoked the Wolfram Language kernel, as recorded by the operating system. ", + "$UserURLBase":"$UserURLBase gives the user identification element to be inserted in the URLs of cloud objects.", + "$Version":"$Version is a string that gives the version of the Wolfram Language kernel you are running. ", + "$VersionNumber":"$VersionNumber is a real number which gives the current Wolfram Language kernel version number, and increases in successive versions. ", + "$VoiceStyles":"$VoiceStyles gives the list of available voices for speech synthesis.", + "$WolframID":"$WolframID gives the Wolfram ID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation.", + "$WolframUUID":"$WolframUUID gives the Wolfram UUID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation." +} \ No newline at end of file From 61ebd6813f4448cb43a325e1aa1d8257901d03b7 Mon Sep 17 00:00:00 2001 From: Shigma <1700011071@pku.edu.cn> Date: Fri, 9 Nov 2018 17:07:40 +0800 Subject: [PATCH 3/7] add some adjustments --- Wolfram.py | 11 +---------- plugin/__init__.py | 1 + plugin/document.css | 10 +++++----- plugin/show_document.py | 20 ++++++-------------- 4 files changed, 13 insertions(+), 29 deletions(-) create mode 100644 plugin/__init__.py diff --git a/Wolfram.py b/Wolfram.py index 4e748ca..48aad58 100644 --- a/Wolfram.py +++ b/Wolfram.py @@ -1,10 +1 @@ -import sublime -import sublime_plugin - -class WolframEventListener(sublime_plugin.EventListener): - - def on_query_completions(view, prefix, locations): - return [ - ["me1\tmethod", "method1()"], - ["me2\tmethod", "method2()"] - ] +from .plugin import * diff --git a/plugin/__init__.py b/plugin/__init__.py new file mode 100644 index 0000000..9f22bc2 --- /dev/null +++ b/plugin/__init__.py @@ -0,0 +1 @@ +from .show_document import * \ No newline at end of file diff --git a/plugin/document.css b/plugin/document.css index d407905..45469a8 100644 --- a/plugin/document.css +++ b/plugin/document.css @@ -31,7 +31,7 @@ a {{ text-decoration: none; }} -.Title {{ +.title {{ border-bottom: 1px solid var(--border-color); font-weight: normal; margin: 0.2rem; @@ -40,21 +40,21 @@ a {{ font-stretch: 1.2; }} -.Function {{ +.function {{ color: #FFEE55; font-size: 1.5rem; }} -.Spacer {{ +.spacer {{ margin: 0.5rem 0.8rem; }} -.Package {{ +.package {{ color: #AADD55; font-size: 1.2rem; }} -.Usage {{ +.usage {{ border-bottom: 1px solid var(--border-color); font-weight: normal; margin: 0.2rem; diff --git a/plugin/show_document.py b/plugin/show_document.py index 9695fee..74154c3 100644 --- a/plugin/show_document.py +++ b/plugin/show_document.py @@ -18,13 +18,11 @@ def get_file(filename): def get_document(name): if name not in usages: return "No description available.
" - return '''- Here are some definitions. -
'''.format(name, '23333') + return '''{2}
'''.format(name, 'System', usages[name]) def get_key_region_at(view, point): if view.match_selector(point, 'variable.function.wolfram'): @@ -34,13 +32,7 @@ def get_key_region_at(view, point): return None class WlEventListener(sublime_plugin.ViewEventListener): - - def on_query_completions(prefix, locations): - return [ - ["me1\tmethod", "method1()"], - ["me2\tmethod", "method2()"] - ] - + @classmethod def on_hover(self, point, hover_zone): if hover_zone != sublime.HOVER_TEXT: return key_region = get_key_region_at(self.view, point) From 00499dc8fb6777e8ba61f17dca5339030f68c8a6 Mon Sep 17 00:00:00 2001 From: Shigma <1700011071@pku.edu.cn> Date: Sat, 10 Nov 2018 14:42:03 +0800 Subject: [PATCH 4/7] support named characters --- Wolfram.py | 1 - WolframLanguage.sublime-syntax | 12 ++++--- build/classify.wl | 38 ++++++++++++-------- build/namespace.wl | 14 ++++++++ {plugin => build}/usages.json | 0 plugin/__init__.py | 1 - plugin/document.css | 65 ---------------------------------- plugin/show_document.py | 52 --------------------------- 8 files changed, 45 insertions(+), 138 deletions(-) delete mode 100644 Wolfram.py rename {plugin => build}/usages.json (100%) delete mode 100644 plugin/__init__.py delete mode 100644 plugin/document.css delete mode 100644 plugin/show_document.py diff --git a/Wolfram.py b/Wolfram.py deleted file mode 100644 index 48aad58..0000000 --- a/Wolfram.py +++ /dev/null @@ -1 +0,0 @@ -from .plugin import * diff --git a/WolframLanguage.sublime-syntax b/WolframLanguage.sublime-syntax index d6f3eca..f75f7be 100644 --- a/WolframLanguage.sublime-syntax +++ b/WolframLanguage.sublime-syntax @@ -38,15 +38,17 @@ variables: built_in_constants: |- (?x) \b(?: - Above|After|AlgebraicRulesData|Algebraics|All|Anonymous|Automatic|Axis|Back|Backward|Baseline|BayesianMinimization|Before|Below|Black|Blank|BlankForm|BlankNullSequence|BlankSequence|Blue|Bold|Booleans|Bottom|Brown|Byte|Catalan|CellStyle|Center|Character|Complex|Complexes|ComplexInfinity|Connect|Constant|ConvertToPostScriptPacket|Cyan|Dashed|DavisDistribution|Decimal|DefaultAxesStyle|DefaultBaseStyle|DefaultBoxStyle|DefaultFaceGridsStyle|DefaultFieldHintStyle|DefaultFrameStyle|DefaultFrameTicksStyle|DefaultGridLinesStyle|DefaultLabelStyle|DefaultMenuStyle|DefaultTicksStyle|DefaultTooltipStyle|Degree|Delimiter|DigitCharacter|DotDashed|Dotted|DragAndDrop|E|EndOfBuffer|EndOfFile|EndOfLine|EndOfString|EulerGamma|Expression|False|Flat|FontProperties|Forward|ForwardBackward|Friday|Front|FrontEndDynamicExpression|Full|General|Generic|Glaisher|GoldenAngle|GoldenRatio|Gray|Green|Here|HexadecimalCharacter|HoldAll|HoldAllComplete|HoldFirst|HoldRest|HorizontalForm|I|Indeterminate|Inequality|Infinity|Inherited|InputToBoxFormPacket|Integer|Integers|InterpretTemplate|Italic|K|Khinchin|Large|Larger|Launch|Left|LetterCharacter|LightBlue|LightBrown|LightCyan|LightGray|LightGreen|LightMagenta|LightOrange|LightPink|LightPurple|LightRed|LightYellow|LinkOpen|LinkService|Listable|Listen|Locked|LongestMatch|Loopback|MachinePrecision|Magenta|Manual|MatchLocalNameQ|Medium|MeshCellCentroid|MeshCellMeasure|MeshCellQuality|Modular|Monday|NHoldAll|NHoldFirst|NHoldRest|NonAssociative|None|Nothing|Now|NoWhitespace|Null|Number|NumberString|NumericFunction|OneIdentity|Orange|Orderless|OutputMathEditExpression|ParentForm|Pi|Pink|Plain|Primes|Protected|PunctuationCharacter|Purple|Rational|Rationals|RawMedium|ReadProtected|Real|Reals|Record|Red|RepeatedString|ReturnInputFormPacket|Right|RuleCondition|RuleForm|Saturday|SequenceHold|Slot|Small|Smaller|Socket|SpanFromAbove|SpanFromBoth|SpanFromLeft|StartOfLine|StartOfString|String|Stub|Sunday|Temporary|Thick|Thin|ThisLink|Thursday|Tiny|Today|Tomorrow|TooBig|Top|Transparent|True|Tuesday|Undefined|Underlined|URLFetch|URLFetchAsynchronous|URLSave|URLSaveAsynchronous|ValueForm|VerticalForm|Wednesday|White|Whitespace|WhitespaceCharacter|Word|WordBoundary|WordCharacter|Yellow|Yesterday|\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowDataUpdates|\$AllowDocumentationUpdates|\$AllowExternalChannelFunctions|\$AllowInternet|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BasePacletsDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$devTextSearchOutput|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InternetProxyRules|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$NumberOfExtraPages|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$PacletSite|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserBasePacletsDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID + Above|After|AlgebraicRulesData|Algebraics|All|Anonymous|Automatic|Axis|Back|Backward|Baseline|BayesianMinimization|Before|Below|Black|Blank|BlankForm|BlankNullSequence|BlankSequence|Blue|Bold|Booleans|Bottom|Brown|Byte|Catalan|CellStyle|Center|Character|Complex|Complexes|ComplexInfinity|Connect|Constant|ConvertToPostScriptPacket|Cyan|Dashed|DavisDistribution|Decimal|DefaultAxesStyle|DefaultBaseStyle|DefaultBoxStyle|DefaultFaceGridsStyle|DefaultFieldHintStyle|DefaultFrameStyle|DefaultFrameTicksStyle|DefaultGridLinesStyle|DefaultLabelStyle|DefaultMenuStyle|DefaultTicksStyle|DefaultTooltipStyle|Degree|Delimiter|DigitCharacter|DotDashed|Dotted|DragAndDrop|E|EndOfBuffer|EndOfFile|EndOfLine|EndOfString|EulerGamma|Expression|False|Flat|FontProperties|Forward|ForwardBackward|Friday|Front|FrontEndDynamicExpression|Full|General|Generic|Glaisher|GoldenAngle|GoldenRatio|Gray|Green|Here|HexadecimalCharacter|HoldAll|HoldAllComplete|HoldFirst|HoldRest|HorizontalForm|I|Indeterminate|Inequality|Infinity|Inherited|InputToBoxFormPacket|Integer|Integers|InterpretTemplate|Italic|K|Khinchin|Large|Larger|Launch|Left|LetterCharacter|LightBlue|LightBrown|LightCyan|LightGray|LightGreen|LightMagenta|LightOrange|LightPink|LightPurple|LightRed|LightYellow|LinkOpen|LinkService|Listable|Listen|Locked|LongestMatch|Loopback|MachinePrecision|Magenta|Manual|MatchLocalNameQ|Medium|MeshCellCentroid|MeshCellMeasure|MeshCellQuality|Modular|Monday|NHoldAll|NHoldFirst|NHoldRest|NonAssociative|None|Nothing|Now|NoWhitespace|Null|Number|NumberString|NumericFunction|OneIdentity|Orange|Orderless|OutputMathEditExpression|ParentForm|Pi|Pink|Plain|Primes|Protected|PunctuationCharacter|Purple|Rational|Rationals|RawMedium|ReadProtected|Real|Reals|Record|Red|RepeatedString|ReturnInputFormPacket|Right|RuleCondition|RuleForm|Saturday|SequenceHold|Slot|Small|Smaller|Socket|SpanFromAbove|SpanFromBoth|SpanFromLeft|StartOfLine|StartOfString|String|Stub|Sunday|Temporary|Thick|Thin|ThisLink|Thursday|Tiny|Today|Tomorrow|TooBig|Top|Transparent|True|Tuesday|Undefined|Underlined|URLFetch|URLFetchAsynchronous|URLSave|URLSaveAsynchronous|ValueForm|VerticalForm|Wednesday|White|Whitespace|WhitespaceCharacter|Word|WordBoundary|WordCharacter|Yellow|Yesterday|\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowDataUpdates|\$AllowDocumentationUpdates|\$AllowExternalChannelFunctions|\$AllowInternet|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BasePacletsDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$devTextSearchOutput|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InternetProxyRules|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$NumberOfExtraPages|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$PacletSite|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserBasePacletsDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID )\b built_in_numeric_constants: |- (?x) \b(?: - Catalan|Degree|E|EulerGamma|Glaisher|GoldenAngle|GoldenRatio|I|Indeterminate|Infinity|Khinchin|MachinePrecision|Pi + Catalan|Degree|E|EulerGamma|Glaisher|GoldenAngle|GoldenRatio|I|Khinchin|MachinePrecision|Pi )\b + named_characters: AAcute|ABar|ACup|ADoubleDot|AE|AGrave|AHat|Aleph|AliasDelimiter|AliasIndicator|AlignmentMarker|Alpha|AltKey|And|Angle|Angstrom|AquariusSign|AriesSign|ARing|AscendingEllipsis|ATilde|AutoLeftMatch|AutoOperand|AutoPlaceholder|AutoRightMatch|AutoSpace|Backslash|BeamedEighthNote|BeamedSixteenthNote|Because|Bet|Beta|BlackBishop|BlackKing|BlackKnight|BlackPawn|BlackQueen|BlackRook|Breve|Bullet|CAcute|CancerSign|Cap|CapitalAAcute|CapitalABar|CapitalACup|CapitalADoubleDot|CapitalAE|CapitalAGrave|CapitalAHat|CapitalAlpha|CapitalARing|CapitalATilde|CapitalBeta|CapitalCAcute|CapitalCCedilla|CapitalCHacek|CapitalChi|CapitalDelta|CapitalDHacek|CapitalDifferentialD|CapitalDigamma|CapitalEAcute|CapitalEBar|CapitalECup|CapitalEDoubleDot|CapitalEGrave|CapitalEHacek|CapitalEHat|CapitalEpsilon|CapitalEta|CapitalEth|CapitalGamma|CapitalIAcute|CapitalICup|CapitalIDoubleDot|CapitalIGrave|CapitalIHat|CapitalIota|CapitalKappa|CapitalKoppa|CapitalLambda|CapitalLSlash|CapitalMu|CapitalNHacek|CapitalNTilde|CapitalNu|CapitalOAcute|CapitalODoubleAcute|CapitalODoubleDot|CapitalOE|CapitalOGrave|CapitalOHat|CapitalOmega|CapitalOmicron|CapitalOSlash|CapitalOTilde|CapitalPhi|CapitalPi|CapitalPsi|CapitalRHacek|CapitalRho|CapitalSampi|CapitalSHacek|CapitalSigma|CapitalStigma|CapitalTau|CapitalTHacek|CapitalTheta|CapitalThorn|CapitalUAcute|CapitalUDoubleAcute|CapitalUDoubleDot|CapitalUGrave|CapitalUHat|CapitalUpsilon|CapitalURing|CapitalXi|CapitalYAcute|CapitalZeta|CapitalZHacek|CapricornSign|CCedilla|Cedilla|CenterDot|CenterEllipsis|Cent|CHacek|CheckedBox|Checkmark|Chi|CircleDot|CircleMinus|CirclePlus|CircleTimes|ClockwiseContourIntegral|CloseCurlyDoubleQuote|CloseCurlyQuote|CloverLeaf|ClubSuit|Colon|CommandKey|Conditioned|Congruent|Conjugate|ConjugateTranspose|ConstantC|Continuation|ContourIntegral|ControlKey|Coproduct|Copyright|CounterClockwiseContourIntegral|Cross|CupCap|Cup|CurlyCapitalUpsilon|CurlyEpsilon|CurlyKappa|CurlyPhi|CurlyPi|CurlyRho|CurlyTheta|Currency|Dagger|Dalet|Dash|Degree|DeleteKey|Del|Delta|DescendingEllipsis|DHacek|Diameter|Diamond|DiamondSuit|DifferenceDelta|DifferentialD|Digamma|DirectedEdge|DiscreteRatio|DiscreteShift|DiscretionaryHyphen|DiscretionaryLineSeparator|DiscretionaryPageBreakAbove|DiscretionaryPageBreakBelow|DiscretionaryParagraphSeparator|Distributed|Divides|Divide|DotEqual|DotlessI|DotlessJ|DottedSquare|DoubleContourIntegral|DoubleDagger|DoubledGamma|DoubleDot|DoubleDownArrow|DoubledPi|DoubleLeftArrow|DoubleLeftRightArrow|DoubleLeftTee|DoubleLongLeftArrow|DoubleLongLeftRightArrow|DoubleLongRightArrow|DoublePrime|DoubleRightArrow|DoubleRightTee|DoubleStruckA|DoubleStruckB|DoubleStruckC|DoubleStruckCapitalA|DoubleStruckCapitalB|DoubleStruckCapitalC|DoubleStruckCapitalD|DoubleStruckCapitalE|DoubleStruckCapitalF|DoubleStruckCapitalG|DoubleStruckCapitalH|DoubleStruckCapitalI|DoubleStruckCapitalJ|DoubleStruckCapitalK|DoubleStruckCapitalL|DoubleStruckCapitalM|DoubleStruckCapitalN|DoubleStruckCapitalO|DoubleStruckCapitalP|DoubleStruckCapitalQ|DoubleStruckCapitalR|DoubleStruckCapitalS|DoubleStruckCapitalT|DoubleStruckCapitalU|DoubleStruckCapitalV|DoubleStruckCapitalW|DoubleStruckCapitalX|DoubleStruckCapitalY|DoubleStruckCapitalZ|DoubleStruckD|DoubleStruckE|DoubleStruckEight|DoubleStruckF|DoubleStruckFive|DoubleStruckFour|DoubleStruckG|DoubleStruckH|DoubleStruckI|DoubleStruckJ|DoubleStruckK|DoubleStruckL|DoubleStruckM|DoubleStruckN|DoubleStruckNine|DoubleStruckO|DoubleStruckOne|DoubleStruckP|DoubleStruckQ|DoubleStruckR|DoubleStruckS|DoubleStruckSeven|DoubleStruckSix|DoubleStruckT|DoubleStruckThree|DoubleStruckTwo|DoubleStruckU|DoubleStruckV|DoubleStruckW|DoubleStruckX|DoubleStruckY|DoubleStruckZ|DoubleStruckZero|DoubleUpArrow|DoubleUpDownArrow|DoubleVerticalBar|DownArrowBar|DownArrow|DownArrowUpArrow|DownBreve|DownExclamation|DownLeftRightVector|DownLeftTeeVector|DownLeftVector|DownLeftVectorBar|DownPointer|DownQuestion|DownRightTeeVector|DownRightVector|DownRightVectorBar|DownTeeArrow|DownTee|EAcute|Earth|EBar|ECup|EDoubleDot|EGrave|EHacek|EHat|EighthNote|Element|Ellipsis|EmptyCircle|EmptyDiamond|EmptyDownTriangle|EmptyRectangle|EmptySet|EmptySmallCircle|EmptySmallSquare|EmptySquare|EmptyUpTriangle|EmptyVerySmallSquare|EnterKey|EntityEnd|EntityStart|Epsilon|Equal|EqualTilde|Equilibrium|Equivalent|ErrorIndicator|EscapeKey|Eta|Eth|Euro|Exists|ExponentialE|FiLigature|FilledCircle|FilledDiamond|FilledDownTriangle|FilledLeftTriangle|FilledRectangle|FilledRightTriangle|FilledSmallCircle|FilledSmallSquare|FilledSquare|FilledUpTriangle|FilledVerySmallSquare|FinalSigma|FirstPage|FivePointedStar|Flat|FlLigature|Florin|ForAll|FormalA|FormalAlpha|FormalB|FormalBeta|FormalC|FormalCapitalA|FormalCapitalAlpha|FormalCapitalB|FormalCapitalBeta|FormalCapitalC|FormalCapitalChi|FormalCapitalD|FormalCapitalDelta|FormalCapitalDigamma|FormalCapitalE|FormalCapitalEpsilon|FormalCapitalEta|FormalCapitalF|FormalCapitalG|FormalCapitalGamma|FormalCapitalH|FormalCapitalI|FormalCapitalIota|FormalCapitalJ|FormalCapitalK|FormalCapitalKappa|FormalCapitalKoppa|FormalCapitalL|FormalCapitalLambda|FormalCapitalM|FormalCapitalMu|FormalCapitalN|FormalCapitalNu|FormalCapitalO|FormalCapitalOmega|FormalCapitalOmicron|FormalCapitalP|FormalCapitalPhi|FormalCapitalPi|FormalCapitalPsi|FormalCapitalQ|FormalCapitalR|FormalCapitalRho|FormalCapitalS|FormalCapitalSampi|FormalCapitalSigma|FormalCapitalStigma|FormalCapitalT|FormalCapitalTau|FormalCapitalTheta|FormalCapitalU|FormalCapitalUpsilon|FormalCapitalV|FormalCapitalW|FormalCapitalX|FormalCapitalXi|FormalCapitalY|FormalCapitalZ|FormalCapitalZeta|FormalChi|FormalCurlyCapitalUpsilon|FormalCurlyEpsilon|FormalCurlyKappa|FormalCurlyPhi|FormalCurlyPi|FormalCurlyRho|FormalCurlyTheta|FormalD|FormalDelta|FormalDigamma|FormalE|FormalEpsilon|FormalEta|FormalF|FormalFinalSigma|FormalG|FormalGamma|FormalH|FormalI|FormalIota|FormalJ|FormalK|FormalKappa|FormalKoppa|FormalL|FormalLambda|FormalM|FormalMu|FormalN|FormalNu|FormalO|FormalOmega|FormalOmicron|FormalP|FormalPhi|FormalPi|FormalPsi|FormalQ|FormalR|FormalRho|FormalS|FormalSampi|FormalSigma|FormalStigma|FormalT|FormalTau|FormalTheta|FormalU|FormalUpsilon|FormalV|FormalW|FormalX|FormalXi|FormalY|FormalZ|FormalZeta|FreakedSmiley|Function|Gamma|GeminiSign|Gimel|GothicA|GothicB|GothicC|GothicCapitalA|GothicCapitalB|GothicCapitalC|GothicCapitalD|GothicCapitalE|GothicCapitalF|GothicCapitalG|GothicCapitalH|GothicCapitalI|GothicCapitalJ|GothicCapitalK|GothicCapitalL|GothicCapitalM|GothicCapitalN|GothicCapitalO|GothicCapitalP|GothicCapitalQ|GothicCapitalR|GothicCapitalS|GothicCapitalT|GothicCapitalU|GothicCapitalV|GothicCapitalW|GothicCapitalX|GothicCapitalY|GothicCapitalZ|GothicD|GothicE|GothicEight|GothicF|GothicFive|GothicFour|GothicG|GothicH|GothicI|GothicJ|GothicK|GothicL|GothicM|GothicN|GothicNine|GothicO|GothicOne|GothicP|GothicQ|GothicR|GothicS|GothicSeven|GothicSix|GothicT|GothicThree|GothicTwo|GothicU|GothicV|GothicW|GothicX|GothicY|GothicZ|GothicZero|GrayCircle|GraySquare|GreaterEqualLess|GreaterEqual|GreaterFullEqual|GreaterGreater|GreaterLess|GreaterSlantEqual|GreaterTilde|Hacek|HappySmiley|HBar|HeartSuit|HermitianConjugate|HorizontalLine|HumpDownHump|HumpEqual|Hyphen|IAcute|ICup|IDoubleDot|IGrave|IHat|ImaginaryI|ImaginaryJ|ImplicitPlus|Implies|IndentingNewLine|Infinity|Integral|Intersection|InvisibleApplication|InvisibleComma|InvisiblePostfixScriptBase|InvisiblePrefixScriptBase|InvisibleSpace|InvisibleTimes|Iota|Jupiter|Kappa|KernelIcon|Koppa|Lambda|LastPage|LeftAngleBracket|LeftArrowBar|LeftArrow|LeftArrowRightArrow|LeftAssociation|LeftBracketingBar|LeftCeiling|LeftDoubleBracket|LeftDoubleBracketingBar|LeftDownTeeVector|LeftDownVectorBar|LeftDownVector|LeftFloor|LeftGuillemet|LeftModified|LeftPointer|LeftRightArrow|LeftRightVector|LeftSkeleton|LeftTee|LeftTeeArrow|LeftTeeVector|LeftTriangle|LeftTriangleBar|LeftTriangleEqual|LeftUpDownVector|LeftUpTeeVector|LeftUpVector|LeftUpVectorBar|LeftVector|LeftVectorBar|LeoSign|LessEqual|LessEqualGreater|LessFullEqual|LessGreater|LessLess|LessSlantEqual|LessTilde|LetterSpace|LibraSign|LightBulb|LineSeparator|LongDash|LongEqual|LongLeftArrow|LongLeftRightArrow|LongRightArrow|LowerLeftArrow|LowerRightArrow|LSlash|Mars|MathematicaIcon|MeasuredAngle|MediumSpace|Mercury|Mho|Micro|MinusPlus|Mu|Nand|Natural|NegativeMediumSpace|NegativeThickSpace|NegativeThinSpace|NegativeVeryThinSpace|Neptune|NestedGreaterGreater|NestedLessLess|NeutralSmiley|NewLine|NHacek|NoBreak|NonBreakingSpace|Nor|NotCongruent|NotCupCap|NotDoubleVerticalBar|NotElement|NotEqual|NotEqualTilde|NotExists|NotGreater|NotGreaterEqual|NotGreaterFullEqual|NotGreaterGreater|NotGreaterLess|NotGreaterSlantEqual|NotGreaterTilde|NotHumpDownHump|NotHumpEqual|NotLeftTriangle|NotLeftTriangleBar|NotLeftTriangleEqual|NotLessEqual|NotLessFullEqual|NotLessGreater|NotLess|NotLessLess|NotLessSlantEqual|NotLessTilde|Not|NotNestedGreaterGreater|NotNestedLessLess|NotPrecedes|NotPrecedesEqual|NotPrecedesSlantEqual|NotPrecedesTilde|NotReverseElement|NotRightTriangle|NotRightTriangleBar|NotRightTriangleEqual|NotSquareSubset|NotSquareSubsetEqual|NotSquareSuperset|NotSquareSupersetEqual|NotSubset|NotSubsetEqual|NotSucceeds|NotSucceedsEqual|NotSucceedsSlantEqual|NotSucceedsTilde|NotSuperset|NotSupersetEqual|NotTilde|NotTildeEqual|NotTildeFullEqual|NotTildeTilde|NotVerticalBar|NTilde|Nu|Null|NumberSign|OAcute|ODoubleAcute|ODoubleDot|OE|OGrave|OHat|Omega|Omicron|OpenCurlyDoubleQuote|OpenCurlyQuote|OptionKey|Or|OSlash|OTilde|OverBrace|OverBracket|OverParenthesis|Paragraph|ParagraphSeparator|PartialD|PermutationProduct|Phi|Pi|Piecewise|PiscesSign|Placeholder|PlusMinus|Pluto|Precedes|PrecedesEqual|PrecedesSlantEqual|PrecedesTilde|Prime|Product|Proportion|Proportional|Psi|QuarterNote|RawAmpersand|RawAt|RawBackquote|RawBackslash|RawColon|RawComma|RawDash|RawDollar|RawDot|RawDoubleQuote|RawEqual|RawEscape|RawExclamation|RawGreater|RawLeftBrace|RawLeftBracket|RawLeftParenthesis|RawLess|RawNumberSign|RawPercent|RawPlus|RawQuestion|RawQuote|RawReturn|RawRightBrace|RawRightBracket|RawRightParenthesis|RawSemicolon|RawSlash|RawSpace|RawStar|RawTab|RawTilde|RawUnderscore|RawVerticalBar|RawWedge|RegisteredTrademark|ReturnIndicator|ReturnKey|ReverseDoublePrime|ReverseElement|ReverseEquilibrium|ReversePrime|ReverseUpEquilibrium|RHacek|Rho|RightAngle|RightAngleBracket|RightArrow|RightArrowBar|RightArrowLeftArrow|RightAssociation|RightBracketingBar|RightCeiling|RightDoubleBracket|RightDoubleBracketingBar|RightDownTeeVector|RightDownVector|RightDownVectorBar|RightFloor|RightGuillemet|RightModified|RightPointer|RightSkeleton|RightTee|RightTeeArrow|RightTeeVector|RightTriangle|RightTriangleBar|RightTriangleEqual|RightUpDownVector|RightUpTeeVector|RightUpVector|RightUpVectorBar|RightVector|RightVectorBar|RoundImplies|RoundSpaceIndicator|Rule|RuleDelayed|SadSmiley|SagittariusSign|Sampi|Saturn|ScorpioSign|ScriptA|ScriptB|ScriptC|ScriptCapitalA|ScriptCapitalB|ScriptCapitalC|ScriptCapitalD|ScriptCapitalE|ScriptCapitalF|ScriptCapitalG|ScriptCapitalH|ScriptCapitalI|ScriptCapitalJ|ScriptCapitalK|ScriptCapitalL|ScriptCapitalM|ScriptCapitalN|ScriptCapitalO|ScriptCapitalP|ScriptCapitalQ|ScriptCapitalR|ScriptCapitalS|ScriptCapitalT|ScriptCapitalU|ScriptCapitalV|ScriptCapitalW|ScriptCapitalX|ScriptCapitalY|ScriptCapitalZ|ScriptD|ScriptDotlessI|ScriptDotlessJ|ScriptE|ScriptEight|ScriptF|ScriptFive|ScriptFour|ScriptG|ScriptH|ScriptI|ScriptJ|ScriptK|ScriptL|ScriptM|ScriptN|ScriptNine|ScriptO|ScriptOne|ScriptP|ScriptQ|ScriptR|ScriptS|ScriptSeven|ScriptSix|ScriptT|ScriptThree|ScriptTwo|ScriptU|ScriptV|ScriptW|ScriptX|ScriptY|ScriptZ|ScriptZero|Section|SelectionPlaceholder|SHacek|Sharp|ShortDownArrow|ShortLeftArrow|ShortRightArrow|ShortUpArrow|Sigma|SixPointedStar|SkeletonIndicator|SmallCircle|SpaceIndicator|SpaceKey|SpadeSuit|SpanFromAbove|SpanFromBoth|SpanFromLeft|SphericalAngle|Sqrt|Square|SquareIntersection|SquareSubset|SquareSubsetEqual|SquareSuperset|SquareSupersetEqual|SquareUnion|Star|Sterling|Stigma|Subset|SubsetEqual|Succeeds|SucceedsEqual|SucceedsSlantEqual|SucceedsTilde|SuchThat|Sum|Superset|SupersetEqual|SystemEnterKey|SystemsModelDelay|SZ|TabKey|Tau|TaurusSign|TensorProduct|TensorWedge|THacek|Therefore|Theta|ThickSpace|ThinSpace|Thorn|Tilde|TildeEqual|TildeFullEqual|TildeTilde|Times|Trademark|Transpose|TripleDot|UAcute|UDoubleAcute|UDoubleDot|UGrave|UHat|UnderBrace|UnderBracket|UnderParenthesis|UndirectedEdge|Union|UnionPlus|UpArrow|UpArrowBar|UpArrowDownArrow|UpDownArrow|UpEquilibrium|UpperLeftArrow|UpperRightArrow|UpPointer|Upsilon|UpTee|UpTeeArrow|Uranus|URing|Vee|Venus|VerticalBar|VerticalEllipsis|VerticalLine|VerticalSeparator|VerticalTilde|VeryThinSpace|VirgoSign|WarningSign|WatchIcon|Wedge|WeierstrassP|WhiteBishop|WhiteKing|WhiteKnight|WhitePawn|WhiteQueen|WhiteRook|Wolf|WolframLanguageLogo|WolframLanguageLogoCircle|Xi|Xnor|Xor|YAcute|YDoubleDot|Yen|Zeta|ZHacek + nb_code_styles: (Input) @@ -99,11 +101,11 @@ contexts: - match: ((?:System`)?{{built_in_options}}) scope: variable.function.wolfram - match: \" - scope: punctuation.definition.string.begin + scope: punctuation.definition.string.begin.wolfram push: - meta_scope: string.quoted.wolfram - match: \" - scope: punctuation.definition.string.end + scope: punctuation.definition.string.end.wolfram pop: true - match: \\\[\w+\] scope: constant.character.escape.wolfram @@ -266,7 +268,7 @@ contexts: ) \s*(?:\/;.*)?\s*:= ) - scope: entity.name.function + scope: entity.name.function.wolfram push: - match: \[ scope: punctuation.section.brackets.begin.wolfram diff --git a/build/classify.wl b/build/classify.wl index 4cf58a9..a9348a3 100644 --- a/build/classify.wl +++ b/build/classify.wl @@ -20,28 +20,38 @@ writeFile["../completions.sublime-completions", toJSON[{ }]]; +classificationRules = <| + "functions" -> (StringStartsQ["\!\(\*RowBox"]), + "options" -> (StringContainsQ[RegularExpression["is an? (\\w+ )?option"]]), + "constants" -> (True &) +|>; classifiedNamespace = Last @ Reap[ - Sow[Keys[#], Switch[Values[#], - _?(StringStartsQ["\!\(\*RowBox"]), "functions", - _?(StringContainsQ[RegularExpression["is an? (\\w+ )?option"]]), "options", - _, "constants" - ]]& /@ wl`usageDictionary, + Function[rule, Sow[ + Keys[rule], + Piecewise[KeyValueMap[ + {#1, #2[Values[rule]]}&, + classificationRules + ]] + ]] /@ wl`usageDictionary, _, Rule ]; +replacement[prefixes_, symbols_] := RuleDelayed[ + prefix: StringExpression @@ Riffle[prefixes, Whitespace, {2, -1, 2}] ~~ (WordCharacter | "$" | "|").., + prefix <> StringRiffle[StringReplace["$" -> "\\$"] /@ symbols, "|"] +] writeFile["../WolframLanguage.sublime-syntax", StringReplace[ readFile["../WolframLanguage.sublime-syntax"], - RuleDelayed[ - prefix: StringExpression[ - "built_in_" ~~ # ~~ ": |-" ~~ Whitespace, - "(?x)" ~~ Whitespace, - "\\b(?:" ~~ Whitespace - ] ~~ (WordCharacter | "$" | "|").., - prefix <> StringRiffle[StringReplace["$" -> "\\$"] /@ (# /. classifiedNamespace), "|"] - ]& /@ {"functions", "options", "constants"} + { + Sequence @@ (replacement[ + {"built_in_" ~~ # ~~ ": |-", "(?x)", "\\b(?:"}, + # /. classifiedNamespace + ]& /@ Keys @ classificationRules), + replacement[{"named_characters:"}, wl`namedCharacters] + } ]]; -Export[resolveFileName["../plugin/usages.json"], wl`usageDictionary]; +Export[resolveFileName["usages.json"], wl`usageDictionary]; diff --git a/build/namespace.wl b/build/namespace.wl index 6028bd6..8b4cb22 100644 --- a/build/namespace.wl +++ b/build/namespace.wl @@ -20,6 +20,20 @@ usageDictionary = Select[usages, Head[Values[#]] === String &]; usageAbsentSymbols = Keys @ Select[usages, Head[Values[#]] =!= String &]; +getAtomic[expr_, orders_List] := If[Length @ orders == 0, + expr, + getAtomic[Level[expr, 1][[orders[[1]]]], Rest @ orders] +]; + + +namedCharacters = StringTake[getAtomic[#, {1, 1, -1, 1}], {3, -2}]& /@ Import[FileNameJoin[{ + $InstallationDirectory, + "Documentation", + $Language, + "System/Guides/ListingOfNamedCharacters.nb" +}], {"Cells", "GuideText"}]; + + DumpSave[NotebookDirectory[] <> "wldata.mx", "wl`"]; diff --git a/plugin/usages.json b/build/usages.json similarity index 100% rename from plugin/usages.json rename to build/usages.json diff --git a/plugin/__init__.py b/plugin/__init__.py deleted file mode 100644 index 9f22bc2..0000000 --- a/plugin/__init__.py +++ /dev/null @@ -1 +0,0 @@ -from .show_document import * \ No newline at end of file diff --git a/plugin/document.css b/plugin/document.css deleted file mode 100644 index 45469a8..0000000 --- a/plugin/document.css +++ /dev/null @@ -1,65 +0,0 @@ -html.light {{ - --html-background: color(var(--background) blend(black 91%)); - --border-color: color(var(--html-background) blend(black 95%)); -}} - -html.dark {{ - --html-background: color(var(--background) blend(white 93%)); - --border-color: color(var(--html-background) blend(white 95%)); -}} - -html, body {{ - margin: 0; - padding: 0; - background-color: var(--html-background); - color: var(--foreground); -}} - -h1, h2 {{ - border-bottom: 1px solid var(--border-color); - font-weight: normal; - margin: 0; - padding: 0.5rem 0.6rem; -}} - -p {{ - margin: 0; - padding: 0.5rem; -}} - -a {{ - text-decoration: none; -}} - -.title {{ - border-bottom: 1px solid var(--border-color); - font-weight: normal; - margin: 0.2rem; - padding: 0.5rem 0.8rem; - font-family: monospace; - font-stretch: 1.2; -}} - -.function {{ - color: #FFEE55; - font-size: 1.5rem; -}} - -.spacer {{ - margin: 0.5rem 0.8rem; -}} - -.package {{ - color: #AADD55; - font-size: 1.2rem; -}} - -.usage {{ - border-bottom: 1px solid var(--border-color); - font-weight: normal; - margin: 0.2rem; - padding: 0.5rem 0.8rem; - font-family: "Calibri"; -}} - - diff --git a/plugin/show_document.py b/plugin/show_document.py deleted file mode 100644 index 74154c3..0000000 --- a/plugin/show_document.py +++ /dev/null @@ -1,52 +0,0 @@ -import os -import json -import sublime -import sublime_plugin - -def get_file(filename): - with open(os.path.abspath(__file__ + '/../' + filename), 'r', encoding = 'UTF-8') as file: - return file.read() - -usages = json.loads(get_file('usages.json')) - -template = ''' - - - {0} - ''' - -def get_document(name): - if name not in usages: - return "No description available.
" - return '''{2}
'''.format(name, 'System', usages[name]) - -def get_key_region_at(view, point): - if view.match_selector(point, 'variable.function.wolfram'): - for region in view.find_by_selector('variable.function.wolfram'): - if region.contains(point): - return region - return None - -class WlEventListener(sublime_plugin.ViewEventListener): - @classmethod - def on_hover(self, point, hover_zone): - if hover_zone != sublime.HOVER_TEXT: return - key_region = get_key_region_at(self.view, point) - if not key_region: return - - key = self.view.substr(key_region) - window_width = min(1000, int(self.view.viewport_extent()[0]) - 64) - key_start = key_region.begin() - location = max(key_start - 1, self.view.line(key_start).begin()) - - self.view.show_popup( - content = template.format(get_document(key)), - location = location, - max_width = window_width, - flags = sublime.HIDE_ON_MOUSE_MOVE_AWAY - | sublime.COOPERATE_WITH_AUTO_COMPLETE - ) From 637738cc4ed840f41155f4e9f99bfca56f9105c4 Mon Sep 17 00:00:00 2001 From: Shigma <1700011071@pku.edu.cn> Date: Sun, 11 Nov 2018 02:07:14 +0800 Subject: [PATCH 5/7] function classsification --- WolframLanguage.sublime-syntax | 40 +++------- build/classify.wl | 116 ++++++++++++++++++++--------- build/{namespace.wl => symbols.wl} | 9 +-- build/utilities.wl | 31 ++++++++ 4 files changed, 125 insertions(+), 71 deletions(-) rename build/{namespace.wl => symbols.wl} (85%) create mode 100644 build/utilities.wl diff --git a/WolframLanguage.sublime-syntax b/WolframLanguage.sublime-syntax index f75f7be..dc06597 100644 --- a/WolframLanguage.sublime-syntax +++ b/WolframLanguage.sublime-syntax @@ -22,31 +22,13 @@ variables: symbol: '[$[:alpha:]]+[$[:alnum:]]*' identifier: (?:{{symbol}}`)*({{symbol}}) - # Built-in functions - built_in_functions: |- - (?x) - \b(?: - AASTriangle|AbelianGroup|Abort|AbortKernels|AbortProtect|AbortScheduledTask|Abs|AbsArg|AbsoluteCorrelation|AbsoluteCorrelationFunction|AbsoluteCurrentValue|AbsoluteDashing|AbsoluteFileName|AbsoluteOptions|AbsolutePointSize|AbsoluteThickness|AbsoluteTime|AbsoluteTiming|AccountingForm|Accumulate|Accuracy|ActionMenu|ActionMenuBoxOptions|Activate|ActiveClassification|ActiveClassificationObject|ActivePrediction|ActivePredictionObject|AcyclicGraphQ|AddSides|AddTo|AddUsers|AdjacencyGraph|AdjacencyList|AdjacencyMatrix|AdjustmentBox|AdjustTimeSeriesForecast|AdministrativeDivisionData|AffineHalfSpace|AffineSpace|AffineStateSpaceModel|AffineTransform|AggregationLayer|AircraftData|AirportData|AirPressureData|AirTemperatureData|AiryAi|AiryAiPrime|AiryAiZero|AiryBi|AiryBiPrime|AiryBiZero|AlgebraicIntegerQ|AlgebraicNumber|AlgebraicNumberDenominator|AlgebraicNumberNorm|AlgebraicNumberPolynomial|AlgebraicNumberTrace|AlgebraicUnitQ|AllTrue|Alphabet|AlphabeticOrder|AlphabeticSort|AlphaChannel|AlternatingFactorial|AlternatingGroup|Alternatives|AmbiguityList|AnatomyData|AnatomyForm|AnatomyPlot3D|And|AndersonDarlingTest|AngerJ|AngleBracket|AnglePath|AnglePath3D|AngleVector|AngularGauge|Animate|Animator|AnimatorBoxOptions|Annotation|Annuity|AnnuityDue|Annulus|AntihermitianMatrixQ|Antisymmetric|AntisymmetricMatrixQ|AnyOrder|AnySubset|AnyTrue|Apart|ApartSquareFree|APIFunction|AppellF1|Append|AppendLayer|AppendTo|Apply|ApplySides|ArcCos|ArcCosh|ArcCot|ArcCoth|ArcCsc|ArcCsch|ArcCurvature|ARCHProcess|ArcLength|ArcSec|ArcSech|ArcSin|ArcSinDistribution|ArcSinh|ArcTan|ArcTanh|Area|Arg|ArgMax|ArgMin|ArgumentCountQ|ARIMAProcess|ArithmeticGeometricMean|ARMAProcess|ARProcess|Array|ArrayComponents|ArrayDepth|ArrayFilter|ArrayFlatten|ArrayMesh|ArrayPad|ArrayPlot|ArrayQ|ArrayResample|ArrayReshape|ArrayRules|Arrays|Arrow|Arrowheads|ASATriangle|Ask|AskAppend|AskConfirm|AskDisplay|AskedQ|AskedValue|AskFunction|AskState|AskTemplateDisplay|Assert|AssociateTo|Association|AssociationMap|AssociationQ|AssociationThread|Assuming|AstronomicalData|AsymptoticDSolveValue|AsymptoticEqual|AsymptoticEquivalent|AsymptoticGreater|AsymptoticGreaterEqual|AsymptoticIntegrate|AsymptoticLess|AsymptoticLessEqual|AsymptoticOutputTracker|AsynchronousTaskObject|AsynchronousTasks|AtomQ|Attributes|Audio|AudioAmplify|AudioBlockMap|AudioCapture|AudioChannelCombine|AudioChannelMix|AudioChannels|AudioChannelSeparate|AudioData|AudioDelay|AudioDelete|AudioDistance|AudioFade|AudioFrequencyShift|AudioGenerator|AudioInsert|AudioIntervals|AudioJoin|AudioLength|AudioLocalMeasurements|AudioLoudness|AudioMeasurements|AudioNormalize|AudioOverlay|AudioPad|AudioPan|AudioPartition|AudioPause|AudioPitchShift|AudioPlay|AudioPlot|AudioQ|AudioRecord|AudioReplace|AudioResample|AudioReverb|AudioSampleRate|AudioSpectralMap|AudioSpectralTransformation|AudioSplit|AudioStop|AudioStream|AudioStreams|AudioTimeStretch|AudioTrim|AudioType|AugmentedSymmetricPolynomial|AuthenticationDialog|Autocomplete|AutocompletionFunction|AutocorrelationTest|AutoRefreshed|AutoSubmitting|BabyMonsterGroupB|Backslash|Ball|Band|BandpassFilter|BandstopFilter|BarabasiAlbertGraphDistribution|BarChart|BarChart3D|BarcodeImage|BarcodeRecognize|BaringhausHenzeTest|BarLegend|BarlowProschanImportance|BarnesG|BartlettHannWindow|BartlettWindow|BaseDecode|BaseEncode|BaseForm|BasicRecurrentLayer|BatchNormalizationLayer|BatesDistribution|BattleLemarieWavelet|BayesianMaximization|BayesianMaximizationObject|BayesianMinimizationObject|Because|BeckmannDistribution|Beep|Begin|BeginDialogPacket|BeginPackage|BellB|BellY|BenfordDistribution|BeniniDistribution|BenktanderGibratDistribution|BenktanderWeibullDistribution|BernoulliB|BernoulliDistribution|BernoulliGraphDistribution|BernoulliProcess|BernsteinBasis|BesselFilterModel|BesselI|BesselJ|BesselJZero|BesselK|BesselY|BesselYZero|Beta|BetaBinomialDistribution|BetaDistribution|BetaNegativeBinomialDistribution|BetaPrimeDistribution|BetaRegularized|Between|BetweennessCentrality|BezierCurve|BezierCurve3DBoxOptions|BezierCurveBoxOptions|BezierFunction|BilateralFilter|Binarize|BinaryDeserialize|BinaryDistance|BinaryImageQ|BinaryRead|BinaryReadList|BinarySerialize|BinaryWrite|BinCounts|BinLists|Binomial|BinomialDistribution|BinomialProcess|BinormalDistribution|BiorthogonalSplineWavelet|BipartiteGraphQ|BiquadraticFilterModel|BirnbaumImportance|BirnbaumSaundersDistribution|BitAnd|BitClear|BitGet|BitLength|BitNot|BitOr|BitSet|BitShiftLeft|BitShiftRight|BitXor|BiweightLocation|BiweightMidvariance|BlackmanHarrisWindow|BlackmanNuttallWindow|BlackmanWindow|Blend|Block|BlockchainBlockData|BlockchainData|BlockchainGet|BlockchainPut|BlockchainTransactionData|BlockMap|BlockRandom|BlomqvistBeta|BlomqvistBetaTest|Blur|BodePlot|BohmanWindow|Boole|BooleanConsecutiveFunction|BooleanConvert|BooleanCountingFunction|BooleanFunction|BooleanGraph|BooleanMaxterms|BooleanMinimize|BooleanMinterms|BooleanQ|BooleanRegion|BooleanTable|BooleanVariables|BorderDimensions|BorelTannerDistribution|BottomHatTransform|BoundaryDiscretizeGraphics|BoundaryDiscretizeRegion|BoundaryMesh|BoundaryMeshRegion|BoundaryMeshRegionQ|BoundedRegionQ|BoundingRegion|BoxData|BoxMatrix|BoxObject|BoxWhiskerChart|BracketingBar|BrayCurtisDistance|BreadthFirstScan|Break|BridgeData|BrightnessEqualize|BroadcastStationData|BrownForsytheTest|BrownianBridgeProcess|BSplineBasis|BSplineCurve|BSplineCurve3DBoxOptions|BSplineCurveBoxOptions|BSplineFunction|BSplineSurface|BSplineSurface3DBoxOptions|BubbleChart|BubbleChart3D|BuildingData|BulletGauge|BusinessDayQ|ButterflyGraph|ButterworthFilterModel|Button|ButtonBar|ButtonBox|ButtonNotebook|ByteArray|ByteArrayQ|ByteArrayToString|ByteCount|C|CalendarConvert|CalendarData|Callout|CallPacket|CanberraDistance|Cancel|CancelButton|CandlestickChart|CanonicalGraph|CanonicalName|CanonicalWarpingCorrespondence|CanonicalWarpingDistance|CantorMesh|CantorStaircase|Cap|CapForm|CapitalDifferentialD|Capitalize|CapsuleShape|CarlemanLinearize|CarmichaelLambda|Cases|CaseSensitive|Cashflow|Casoratian|CatalanNumber|Catch|Catenate|CatenateLayer|CauchyDistribution|CauchyWindow|CayleyGraph|CDF|CDFDeploy|CDFInformation|CDFWavelet|Ceiling|Cell|CellGroup|CellGroupData|CellObject|CellPrint|Cells|CellularAutomaton|CensoredDistribution|Censoring|CenterArray|CenterDot|CentralFeature|CentralMoment|CentralMomentGeneratingFunction|Cepstrogram|CepstrogramArray|CepstrumArray|CForm|ChampernowneNumber|ChannelListen|ChannelListener|ChannelListeners|ChannelObject|ChannelReceiverFunction|ChannelSend|ChannelSubscribers|ChanVeseBinarize|CharacterCounts|CharacteristicFunction|CharacteristicPolynomial|CharacterName|CharacterRange|Characters|Chebyshev1FilterModel|Chebyshev2FilterModel|ChebyshevDistance|ChebyshevT|ChebyshevU|Check|CheckAbort|CheckAll|Checkbox|CheckboxBar|CheckboxBoxOptions|ChemicalData|ChessboardDistance|ChiDistribution|ChineseRemainder|ChiSquareDistribution|ChoiceButtons|ChoiceDialog|CholeskyDecomposition|Chop|ChromaticityPlot|ChromaticityPlot3D|ChromaticPolynomial|Circle|CircleDot|CircleMinus|CirclePlus|CirclePoints|CircleTimes|CirculantGraph|CircularOrthogonalMatrixDistribution|CircularQuaternionMatrixDistribution|CircularRealMatrixDistribution|CircularSymplecticMatrixDistribution|CircularUnitaryMatrixDistribution|Circumsphere|CityData|ClassifierFunction|ClassifierInformation|ClassifierMeasurements|ClassifierMeasurementsObject|Classify|Clear|ClearAll|ClearAttributes|ClearCookies|ClearPermissions|ClearSystemCache|ClebschGordan|ClickPane|Clip|Clock|ClockGauge|Close|CloseKernels|ClosenessCentrality|Closing|CloudAccountData|CloudConnect|CloudDeploy|CloudDirectory|CloudDisconnect|CloudEvaluate|CloudExport|CloudExpression|CloudExpressions|CloudFunction|CloudGet|CloudImport|CloudLoggingData|CloudObject|CloudObjects|CloudPublish|CloudPut|CloudSave|CloudShare|CloudSubmit|CloudSymbol|CloudUnshare|ClusterClassify|ClusteringComponents|ClusteringTree|CMYKColor|Coefficient|CoefficientArrays|CoefficientList|CoefficientRules|CoifletWavelet|Collect|Colon|ColonForm|ColorBalance|ColorCombine|ColorConvert|ColorData|ColorDataFunction|ColorDistance|Colorize|ColorNegate|ColorProfileData|ColorQ|ColorQuantize|ColorReplace|ColorSeparate|ColorSetter|ColorSetterBoxOptions|ColorSlider|ColorToneMapping|Column|ColumnForm|CometData|Commonest|CommonestFilter|CommonName|CommonUnits|CommunityGraphPlot|CompanyData|CompatibleUnitQ|Compile|CompiledFunction|Complement|CompleteGraph|CompleteGraphQ|CompleteKaryTree|ComplexExpand|ComponentMeasurements|ComposeList|ComposeSeries|CompositeQ|Composition|CompoundElement|CompoundExpression|CompoundPoissonDistribution|CompoundPoissonProcess|CompoundRenewalProcess|Compress|Condition|ConditionalExpression|Conditioned|Cone|ConformAudio|ConformImages|Congruent|ConicHullRegion|Conjugate|ConjugateTranspose|Conjunction|ConnectedComponents|ConnectedGraphComponents|ConnectedGraphQ|ConnectedMeshComponents|ConnectLibraryCallbackFunction|ConnectSystemModelComponents|ConnesWindow|ConoverTest|ConstantArray|ConstantArrayLayer|ConstantImage|ConstantPlusLayer|ConstantRegionQ|ConstantTimesLayer|ConstellationData|Construct|Containing|ContainsAll|ContainsAny|ContainsExactly|ContainsNone|ContainsOnly|ContentObject|Context|Contexts|ContextToFileName|Continue|ContinuedFraction|ContinuedFractionK|ContinuousMarkovProcess|ContinuousTask|ContinuousTimeModelQ|ContinuousWaveletData|ContinuousWaveletTransform|ContourDetect|ContourGraphics|ContourPlot|ContourPlot3D|ContraharmonicMean|ContrastiveLossLayer|Control|ControlActive|ControllabilityGramian|ControllabilityMatrix|ControllableDecomposition|ControllableModelQ|ControllerInformation|ControllerManipulate|ControllerState|Convergents|ConvexHullMesh|ConvolutionLayer|Convolve|ConwayGroupCo1|ConwayGroupCo2|ConwayGroupCo3|CoordinateBoundingBox|CoordinateBoundingBoxArray|CoordinateBounds|CoordinateBoundsArray|CoordinateChartData|CoordinateTransform|CoordinateTransformData|CoprimeQ|Coproduct|CopulaDistribution|CopyDatabin|CopyDirectory|CopyFile|CopyToClipboard|CornerFilter|Correlation|CorrelationDistance|CorrelationFunction|CorrelationTest|Cos|Cosh|CoshIntegral|CosineDistance|CosineWindow|CosIntegral|Cot|Coth|Count|CountDistinct|CountDistinctBy|CounterBoxOptions|CountRoots|CountryData|Counts|CountsBy|Covariance|CovarianceFunction|CoxianDistribution|CoxIngersollRossProcess|CoxModel|CoxModelFit|CramerVonMisesTest|CreateArchive|CreateChannel|CreateCloudExpression|CreateDatabin|CreateDataSystemModel|CreateDialog|CreateDirectory|CreateDocument|CreateFile|CreateManagedLibraryExpression|CreateNotebook|CreatePalette|CreatePermissionsGroup|CreateScheduledTask|CreateSearchIndex|CreateSystemModel|CreateTemporary|CreateUUID|CreateWindow|CriticalityFailureImportance|CriticalitySuccessImportance|CriticalSection|Cross|CrossEntropyLossLayer|CrossingDetect|CrossMatrix|Csc|Csch|CTCLossLayer|CubeRoot|Cuboid|Cumulant|CumulantGeneratingFunction|Cup|CupCap|Curl|CurrencyConvert|CurrentDate|CurrentImage|CurrentNotebookImage|CurrentScreenImage|CurrentValue|Curry|CurvatureFlowFilter|CycleGraph|CycleIndexPolynomial|Cycles|CyclicGroup|Cyclotomic|Cylinder|CylindricalDecomposition|D|DagumDistribution|DamData|DamerauLevenshteinDistance|Darker|Dashing|Databin|DatabinAdd|DatabinRemove|Databins|DatabinUpload|DataDistribution|Dataset|Date|DateBounds|Dated|DateDifference|DatedUnit|DateHistogram|DateList|DateListLogPlot|DateListPlot|DateListStepPlot|DateObject|DateObjectQ|DateOverlapsQ|DatePattern|DatePlus|DateRange|DateString|DateValue|DateWithinQ|DaubechiesWavelet|DawsonF|DayCount|DayHemisphere|DaylightQ|DayMatchQ|DayName|DayNightTerminator|DayPlus|DayRange|DayRound|DeBruijnGraph|DeBruijnSequence|Decapitalize|DecimalForm|DeclarePackage|Decompose|DeconvolutionLayer|Decrement|Decrypt|DecryptFile|DedekindEta|DeepSpaceProbeData|Default|DefaultButton|DefaultValues|Defer|DefineInputStreamMethod|DefineOutputStreamMethod|Definition|DegreeCentrality|DegreeGraphDistribution|DEigensystem|DEigenvalues|Del|DelaunayMesh|Delayed|Delete|DeleteBorderComponents|DeleteCases|DeleteChannel|DeleteCloudExpression|DeleteDirectory|DeleteDuplicates|DeleteDuplicatesBy|DeleteFile|DeleteMissing|DeleteObject|DeletePermissionsKey|DeleteSearchIndex|DeleteSmallComponents|DeleteStopwords|DelimitedSequence|Dendrogram|Denominator|DensityGraphics|DensityHistogram|DensityPlot|DensityPlot3D|Deploy|Depth|DepthFirstScan|Derivative|DerivativeFilter|DesignMatrix|Det|DeviceClose|DeviceConfigure|DeviceExecute|DeviceExecuteAsynchronous|DeviceObject|DeviceOpen|DeviceRead|DeviceReadBuffer|DeviceReadLatest|DeviceReadList|DeviceReadTimeSeries|Devices|DeviceStreams|DeviceWrite|DeviceWriteBuffer|DGaussianWavelet|Diagonal|DiagonalizableMatrixQ|DiagonalMatrix|Dialog|DialogInput|DialogNotebook|DialogReturn|Diamond|DiamondMatrix|DiceDissimilarity|DictionaryLookup|DictionaryWordQ|DifferenceDelta|DifferenceQuotient|DifferenceRoot|DifferenceRootReduce|Differences|DifferentialD|DifferentialRoot|DifferentialRootReduce|DifferentiatorFilter|DigitCount|DigitQ|DihedralGroup|Dilation|DimensionalCombinations|DimensionalMeshComponents|DimensionReduce|DimensionReducerFunction|DimensionReduction|Dimensions|DiracComb|DiracDelta|DirectedEdge|DirectedGraph|DirectedGraphQ|DirectedInfinity|Directive|Directory|DirectoryName|DirectoryQ|DirectoryStack|DirichletBeta|DirichletCharacter|DirichletCondition|DirichletConvolve|DirichletDistribution|DirichletEta|DirichletL|DirichletLambda|DirichletTransform|DirichletWindow|DisableFormatting|DiscreteChirpZTransform|DiscreteConvolve|DiscreteDelta|DiscreteHadamardTransform|DiscreteIndicator|DiscreteLimit|DiscreteLQEstimatorGains|DiscreteLQRegulatorGains|DiscreteLyapunovSolve|DiscreteMarkovProcess|DiscreteMaxLimit|DiscreteMinLimit|DiscretePlot|DiscretePlot3D|DiscreteRatio|DiscreteRiccatiSolve|DiscreteShift|DiscreteTimeModelQ|DiscreteUniformDistribution|DiscreteWaveletData|DiscreteWaveletPacketTransform|DiscreteWaveletTransform|DiscretizeGraphics|DiscretizeRegion|Discriminant|DisjointQ|Disjunction|Disk|DiskMatrix|DiskSegment|Dispatch|Display|DisplayEndPacket|DisplayForm|DisplayPacket|DisplayString|DistanceMatrix|DistanceTransform|Distribute|Distributed|DistributeDefinitions|DistributionChart|DistributionFitTest|DistributionParameterAssumptions|DistributionParameterQ|Div|Divide|DivideBy|DivideSides|Divisible|Divisors|DivisorSigma|DivisorSum|DMSList|DMSString|Do|DocumentGenerator|DocumentGeneratorInformation|DocumentGenerators|DocumentNotebook|DominantColors|Dot|DotEqual|DotLayer|DotPlusLayer|DoubleBracketingBar|DoubleDownArrow|DoubleLeftArrow|DoubleLeftRightArrow|DoubleLeftTee|DoubleLongLeftArrow|DoubleLongLeftRightArrow|DoubleLongRightArrow|DoubleRightArrow|DoubleRightTee|DoubleUpArrow|DoubleUpDownArrow|DoubleVerticalBar|DownArrow|DownArrowBar|DownArrowUpArrow|DownLeftRightVector|DownLeftTeeVector|DownLeftVector|DownLeftVectorBar|DownRightTeeVector|DownRightVector|DownRightVectorBar|Downsample|DownTee|DownTeeArrow|DownValues|Drop|DropoutLayer|DSolve|DSolveValue|Dt|DualSystemsModel|DumpGet|DumpSave|DuplicateFreeQ|Duration|Dynamic|DynamicBoxOptions|DynamicGeoGraphics|DynamicImage|DynamicModule|DynamicModuleBoxOptions|DynamicSetting|DynamicWrapper|DynamicWrapperBoxOptions|EarthImpactData|EarthquakeData|EccentricityCentrality|Echo|EchoFunction|EdgeAdd|EdgeBetweennessCentrality|EdgeConnectivity|EdgeContract|EdgeCount|EdgeCoverQ|EdgeCycleMatrix|EdgeDelete|EdgeDetect|EdgeForm|EdgeIndex|EdgeList|EdgeQ|EdgeRules|EditDistance|EffectiveInterest|Eigensystem|Eigenvalues|EigenvectorCentrality|Eigenvectors|Element|ElementData|ElementwiseLayer|Eliminate|Ellipsoid|EllipticE|EllipticExp|EllipticExpPrime|EllipticF|EllipticFilterModel|EllipticK|EllipticLog|EllipticNomeQ|EllipticPi|EllipticReducedHalfPeriods|EllipticTheta|EllipticThetaPrime|EmbedCode|EmbeddedHTML|EmbeddedService|EmbeddingLayer|EmitSound|EmpiricalDistribution|EmptyGraphQ|EmptyRegion|Encode|Encrypt|EncryptedObject|EncryptFile|End|EndAdd|EndDialogPacket|EndPackage|EngineeringForm|EnterExpressionPacket|EnterTextPacket|Entity|EntityClass|EntityClassList|EntityCopies|EntityGroup|EntityInstance|EntityList|EntityPrefetch|EntityProperties|EntityProperty|EntityPropertyClass|EntityRegister|EntityStore|EntityStores|EntityTypeName|EntityUnregister|EntityValue|Entropy|EntropyFilter|Environment|Equal|EqualTilde|EqualTo|Equilibrium|EquirippleFilterKernel|Equivalent|Erf|Erfc|Erfi|ErlangB|ErlangC|ErlangDistribution|Erosion|ErrorBox|EstimatedBackground|EstimatedDistribution|EstimatedProcess|EstimatorGains|EstimatorRegulator|EuclideanDistance|EulerAngles|EulerE|EulerianGraphQ|EulerMatrix|EulerPhi|Evaluate|EvaluatePacket|EvaluateScheduledTask|EvaluationBox|EvaluationCell|EvaluationData|EvaluationNotebook|EvaluationObject|EvenQ|EventData|EventHandler|EventSeries|ExactBlackmanWindow|ExactNumberQ|ExampleData|Except|Exists|Exit|ExoplanetData|Exp|Expand|ExpandAll|ExpandDenominator|ExpandFileName|ExpandNumerator|Expectation|ExpectedValue|ExpGammaDistribution|ExpIntegralE|ExpIntegralEi|Exponent|ExponentialDistribution|ExponentialGeneratingFunction|ExponentialMovingAverage|ExponentialPowerDistribution|Export|ExportByteArray|ExportForm|ExportString|ExpressionCell|ExpToTrig|ExtendedGCD|ExternalBundle|ExternalEvaluate|ExternalObject|ExternalSessionObject|ExternalSessions|Extract|ExtractArchive|ExtremeValueDistribution|FaceForm|FacialFeatures|Factor|Factorial|Factorial2|FactorialMoment|FactorialMomentGeneratingFunction|FactorialPower|FactorInteger|FactorList|FactorSquareFree|FactorSquareFreeList|FactorTerms|FactorTermsList|Failure|FailureDistribution|FailureQ|FareySequence|FARIMAProcess|FeatureDistance|FeatureExtract|FeatureExtraction|FeatureExtractorFunction|FeatureNearest|FeatureSpacePlot|FeatureSpacePlot3D|FeedbackLinearize|FetalGrowthData|Fibonacci|Fibonorial|File|FileBaseName|FileByteCount|FileDate|FileExistsQ|FileExtension|FileFormat|FileHash|FileNameDepth|FileNameDrop|FileNameJoin|FileNames|FileNameSetter|FileNameSplit|FileNameTake|FilePrint|FileSize|FileSystemMap|FileSystemScan|FileTemplate|FileTemplateApply|FileType|FilledCurve|FilledCurveBoxOptions|FillingTransform|FilterRules|FinancialBond|FinancialData|FinancialDerivative|FinancialIndicator|Find|FindArgMax|FindArgMin|FindChannels|FindClique|FindClusters|FindCookies|FindCurvePath|FindCycle|FindDevices|FindDistribution|FindDistributionParameters|FindDivisions|FindEdgeCover|FindEdgeCut|FindEdgeIndependentPaths|FindEquationalProof|FindEulerianCycle|FindExternalEvaluators|FindFaces|FindFile|FindFit|FindFormula|FindFundamentalCycles|FindGeneratingFunction|FindGeoLocation|FindGeometricTransform|FindGraphCommunities|FindGraphIsomorphism|FindGraphPartition|FindHamiltonianCycle|FindHamiltonianPath|FindHiddenMarkovStates|FindIndependentEdgeSet|FindIndependentVertexSet|FindInstance|FindIntegerNullVector|FindKClan|FindKClique|FindKClub|FindKPlex|FindLibrary|FindLinearRecurrence|FindList|FindMaximum|FindMaximumFlow|FindMaxValue|FindMeshDefects|FindMinimum|FindMinimumCostFlow|FindMinimumCut|FindMinValue|FindPath|FindPeaks|FindPermutation|FindPostmanTour|FindProcessParameters|FindRepeat|FindRoot|FindSequenceFunction|FindShortestPath|FindShortestTour|FindSpanningTree|FindSystemModelEquilibrium|FindTextualAnswer|FindThreshold|FindTransientRepeat|FindVertexCover|FindVertexCut|FindVertexIndependentPaths|FinishDynamic|FiniteAbelianGroupCount|FiniteGroupCount|FiniteGroupData|First|FirstCase|FirstPassageTimeDistribution|FirstPosition|FischerGroupFi22|FischerGroupFi23|FischerGroupFi24Prime|FisherHypergeometricDistribution|FisherRatioTest|FisherZDistribution|Fit|FittedModel|FixedOrder|FixedPoint|FixedPointList|Flatten|FlattenAt|FlattenLayer|FlatTopWindow|FlipView|Floor|FlowPolynomial|Fold|FoldList|FoldPair|FoldPairList|For|ForAll|Format|FormatValues|FormBox|FormControl|FormFunction|FormObject|FormPage|FormulaData|FormulaLookup|FortranForm|Fourier|FourierCoefficient|FourierCosCoefficient|FourierCosSeries|FourierCosTransform|FourierDCT|FourierDCTFilter|FourierDCTMatrix|FourierDST|FourierDSTMatrix|FourierMatrix|FourierSequenceTransform|FourierSeries|FourierSinCoefficient|FourierSinSeries|FourierSinTransform|FourierTransform|FourierTrigSeries|FractionalBrownianMot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- )\b - - built_in_options: |- - (?x) - \b(?: - AccuracyGoal|Active|ActiveStyle|AddOnHelpPath|AdjustmentBoxOptions|Alignment|AlignmentPoint|AllowedCloudExtraParameters|AllowedCloudParameterExtensions|AllowedDimensions|AllowGroupClose|AllowInlineCells|AllowLooseGrammar|AllowReverseGroupClose|AllowScriptLevelChange|AlternateImage|AlternativeHypothesis|AltitudeMethod|AmbientLight|AmbiguityFunction|Analytic|AnchoredSearch|AnimationCycleOffset|AnimationCycleRepetitions|AnimationDirection|AnimationDisplayTime|AnimationRate|AnimationRepetitions|AnimationRunning|AnimationRunTime|AnimationTimeIndex|Antialiasing|Appearance|AppearanceElements|AppearanceRules|AspectRatio|AspectRatioFixed|AssociationFormat|AssumeDeterministic|Assumptions|Asynchronous|AudioChannelAssignment|AudioDevice|AudioInputDevice|AudioLabel|AudioLooping|AudioOutputDevice|Authentication|AutoAction|AutoCopy|AutoDelete|AutoGeneratedPackage|AutoIndent|AutoItalicWords|AutoloadPath|AutoMultiplicationSymbol|AutoOpenNotebooks|AutoOpenPalettes|AutoRemove|AutorunSequencing|AutoScroll|AutoSpacing|Axes|AxesEdge|AxesLabel|AxesOrigin|AxesStyle|Background|BarOrigin|BarSpacing|BaselinePosition|BaseStyle|BatchSize|BinaryFormat|BlockchainBase|Bookmarks|BooleanStrings|BoundaryStyle|BoxBaselineShift|Boxed|BoxFormFormatTypes|BoxFrame|BoxMargins|BoxRatios|BoxStyle|BubbleScale|BubbleSizes|ButtonBoxOptions|ButtonData|ButtonEvaluator|ButtonExpandable|ButtonFrame|ButtonFunction|ButtonMargins|ButtonMinHeight|ButtonNote|ButtonSource|ButtonStyle|ByteOrdering|CachePersistence|CalendarType|CalloutMarker|CalloutStyle|CaptureRunning|CaseOrdering|CelestialSystem|CellAutoOverwrite|CellBaseline|CellBracketOptions|CellChangeTimes|CellContext|CellDingbat|CellDynamicExpression|CellEditDuplicate|CellEpilog|CellEvaluationDuplicate|CellEvaluationFunction|CellEventActions|CellFrame|CellFrameColor|CellFrameLabelMargins|CellFrameLabels|CellFrameMargins|CellGrouping|CellGroupingRules|CellHorizontalScrolling|CellID|CellLabel|CellLabelAutoDelete|CellLabelMargins|CellLabelPositioning|CellLabelStyle|CellMargins|CellOpen|CellProlog|CellSize|CellTags|ChannelBase|ChannelBrokerAction|ChannelDatabin|ChannelPreSendFunction|CharacterEncoding|CharacterEncodingsPath|ChartBaseStyle|ChartElementFunction|ChartElements|ChartLabels|ChartLayout|ChartLegends|ChartStyle|ClassPriors|ClipFill|ClippingStyle|ClipPlanes|ClipPlanesStyle|ClipRange|ClosingAutoSave|CloudBase|ClusterDissimilarityFunction|CodeAssistOptions|ColorCoverage|ColorFunction|ColorFunctionScaling|ColorOutput|ColorRules|ColorSelectorSettings|ColorSpace|ColumnAlignments|ColumnLines|ColumnsEqual|ColumnSpacings|ColumnWidths|CombinerFunction|CommonDefaultFormatTypes|CommunityBoundaryStyle|CommunityLabels|CommunityRegionStyle|CompilationOptions|CompilationTarget|Compiled|ComplexityFunction|ConfidenceLevel|ConfidenceRange|ConfidenceTransform|ConfigurationPath|Constants|ContentFieldOptions|ContentLocationFunction|ContentPadding|ContentSelectable|ContentSize|ContinuousAction|ContourLabels|ContourLines|Contours|ContourShading|ContourStyle|ControllerLinking|ControllerMethod|ControllerPath|ControlPlacement|ControlsRendering|ControlType|ConversionOptions|ConversionRules|CookieFunction|CoordinatesToolOptions|Copyable|CornerNeighbors|CounterAssignments|CounterFunction|CounterIncrements|CounterStyleMenuListing|CovarianceEstimatorFunction|CreateCellID|CreateIntermediateDirectories|CriterionFunction|Cubics|CurveClosed|DampingFactor|DataRange|DataReversed|DateFormat|DateFunction|DateReduction|DateTicksFormat|DayCountConvention|DefaultColor|DefaultDuplicateCellStyle|DefaultDuration|DefaultElement|DefaultFontProperties|DefaultFormatType|DefaultInlineFormatType|DefaultNaturalLanguage|DefaultNewCellStyle|DefaultNewInlineCellStyle|DefaultNotebook|DefaultOptions|DefaultPrintPrecision|DefaultStyleDefinitions|Deinitialization|Deletable|DeleteContents|DeletionWarning|DelimiterFlashTime|DelimiterMatching|Delimiters|DeliveryFunction|DependentVariables|Deployed|DescriptorStateSpace|DiacriticalPositioning|DialogProlog|DialogSymbols|DigitBlock|DirectedEdges|Direction|DiscreteVariables|DispersionEstimatorFunction|DisplayAllSteps|DisplayFunction|DistanceFunction|DistributedContexts|Dithering|Dividers|DockedCells|DocumentWeightingRules|DOSTextFormat|DoublyInfinite|DynamicEvaluationTimeout|DynamicModuleValues|EclipseType|EdgeCapacity|EdgeCost|EdgeLabeling|EdgeLabels|EdgeLabelStyle|EdgeRenderingFunction|EdgeShapeFunction|EdgeStyle|EdgeWeight|Editable|EditCellTagsSettings|ElidedForms|Enabled|Epilog|EpilogFunction|EqualColumns|EqualRows|EquatedTo|EscapeRadius|Evaluatable|EvaluationCompletionAction|EvaluationElements|EvaluationEnvironment|EvaluationMonitor|Evaluator|EvaluatorNames|EventLabels|ExactRootIsolation|ExcludedForms|ExcludedLines|ExcludedPhysicalQuantities|ExcludePods|Exclusions|ExclusionsStyle|ExpirationDate|ExponentFunction|ExponentialFamily|ExponentPosition|ExponentStep|ExportAutoReplacements|Extension|ExtentElementFunction|ExtentMarkers|ExtentSize|ExternalDataCharacterEncoding|ExternalOptions|ExternalTypeSignature|FaceGrids|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|PlotLabel|PlotLabels|PlotLayout|PlotLegends|PlotMarkers|PlotPoints|PlotRange|PlotRangeClipping|PlotRangePadding|PlotRegion|PlotStyle|PlotTheme|PodStates|PodWidth|PolarAxes|PolarAxesOrigin|PolarGridLines|PolarTicks|PoleZeroMarkers|PolygonIntersections|PrecisionGoal|PreferencesPath|PreprocessingRules|PreserveColor|PreserveImageOptions|PrincipalValue|PrintAction|PrintingCopies|PrintingOptions|PrintingPageRange|PrintingStartingPageNumber|PrintingStyleEnvironment|Printout3DPreviewer|PrintPrecision|PrivateCellOptions|PrivateEvaluationOptions|PrivateFontOptions|PrivateNotebookOptions|PrivatePaths|ProcessDirectory|ProcessEnvironment|ProcessEstimator|Prolog|Properties|PublisherID|Quartics|RadicalBoxOptions|RandomSeeding|RasterSize|RealBlockDiagonalForm|RecognitionPrior|RecognitionThreshold|RecordLists|RecordSeparators|ReferenceLineStyle|RefreshRate|RegionFunction|RegionSize|Regularization|RemoteAuthorizationCaching|RenderAll|RenderingOptions|RequiredPhysicalQuantities|Resampling|ResamplingMethod|RestartInterval|ReturnReceiptFunction|RevolutionAxis|RotateLabel|RotationAction|RoundingRadius|RowAlignments|RowLines|RowMinHeight|RowsEqual|RowSpacings|RulerUnits|RuntimeAttributes|RuntimeOptions|SameTest|SampleDepth|SampleRate|SamplingPeriod|Saveable|SaveDefinitions|ScaleDivisions|ScaleOrigin|ScalePadding|ScaleRanges|ScaleRangeStyle|ScalingFunctions|ScientificNotationThreshold|ScreenRectangle|ScreenStyleEnvironment|ScriptBaselineShifts|ScriptLevel|ScriptMinSize|ScriptSizeMultipliers|Scrollbars|ScrollingOptions|ScrollPosition|SectorOrigin|SectorSpacing|Selectable|SelfLoopStyle|Shading|SharingList|ShowAutoSpellCheck|ShowAutoStyles|ShowCellBracket|ShowCellLabel|ShowCellTags|ShowClosedCellArea|ShowContents|ShowCursorTracker|ShowGroupOpenCloseIcon|ShowGroupOpener|ShowPageBreaks|ShowSelection|ShowShortBoxForm|ShowStringCharacters|ShrinkingDelay|SignificanceLevel|SignPadding|SimilarityRules|SingleLetterItalics|SkinStyle|SolveDelayed|SoundVolume|SourceLink|Spacings|SpanAdjustments|SpanCharacterRounding|SpanLineThickness|SpanMaxSize|SpanMinSize|SpanSymmetric|SpecificityGoal|SpellingCorrection|SpellingDictionaries|SpellingDictionariesPath|SpellingOptions|SphericalRegion|SplineClosed|SplineDegree|SplineKnots|SplineWeights|SqrtBoxOptions|StabilityMargins|StabilityMarginsStyle|Standardized|StartingStepSize|StartupSound|StateDimensions|StateSpaceRealization|StepMonitor|StrataVariables|StreamColorFunction|StreamColorFunctionScaling|StreamMarkers|StreamPoints|StreamScale|StreamStyle|StripOnInput|StripWrapperBoxes|StructuredSelection|StyleBoxAutoDelete|StyleDefinitions|StyleMenuListing|StyleNameDialogSettings|StyleSheetPath|SubscriptBoxOptions|SubsuperscriptBoxOptions|SuperscriptBoxOptions|SynchronousInitialization|SynchronousUpdating|SyntaxForm|SystemHelpPath|SystemModelProgressReporting|SystemsModelLabels|TabFilling|TableAlignments|TableDepth|TableDirections|TableHeadings|TableSpacing|TabSpacings|TagBoxOptions|TaggingRules|TargetDevice|TargetFunctions|TargetUnits|TemplateBoxOptions|TemporalRegularity|TestID|TextAlignment|TextClipboardType|TextJustification|TextStyle|TextureCoordinateFunction|TextureCoordinateScaling|ThreadDepth|Ticks|TicksStyle|TimeConstraint|TimeDirection|TimeFormat|TimeGoal|TimeZone|TokenWords|Tolerance|TooltipDelay|TooltipStyle|TotalWidth|TouchscreenAutoZoom|TouchscreenControlPlacement|TraceAbove|TraceAction|TraceBackward|TraceDepth|TraceForward|TraceInternal|TraceOff|TraceOn|TraceOriginal|TrackedSymbols|TrackingFunction|TraditionalFunctionNotation|TrainingProgressCheckpointing|TrainingProgressFunction|TrainingProgressReporting|TransformationClass|TransformationFunctions|TransitionDirection|TransitionDuration|TransitionEffect|TravelMethod|TrendStyle|Trig|UnderoverscriptBoxOptions|UnderscriptBoxOptions|UndoOptions|UndoTrackedVariables|UnitSystem|UnityDimensions|UnsavedVariables|UpdateInterval|Using|UtilityFunction|ValidationLength|ValidationSet|ValueDimensions|ValuePreprocessingFunction|VarianceEstimatorFunction|VectorColorFunction|VectorColorFunctionScaling|VectorMarkers|VectorPoints|VectorScale|VectorStyle|VerifyConvergence|VerifySecurityCertificates|VerifySolutions|VerifyTestAssumptions|VertexCapacity|VertexColors|VertexCoordinateRules|VertexCoordinates|VertexDataCoordinates|VertexLabeling|VertexLabels|VertexLabelStyle|VertexNormals|VertexRenderingFunction|VertexShape|VertexShapeFunction|VertexSize|VertexStyle|VertexTextureCoordinates|VertexWeight|ViewAngle|ViewCenter|ViewMatrix|ViewPoint|ViewProjection|ViewRange|ViewVector|ViewVertical|Visible|WaveletScale|Weights|WhitePoint|WindowClickSelect|WindowElements|WindowFloating|WindowFrame|WindowFrameElements|WindowMargins|WindowMovable|WindowOpacity|WindowSize|WindowStatusArea|WindowTitle|WindowToolbars|WordOrientation|WordSearch|WordSelectionFunction|WordSeparators|WordSpacings|WorkingPrecision|WrapAround|ZeroTest|ZeroWidthTimes|ZoomCenter|ZoomFactor - )\b - - built_in_constants: |- - (?x) - \b(?: - Above|After|AlgebraicRulesData|Algebraics|All|Anonymous|Automatic|Axis|Back|Backward|Baseline|BayesianMinimization|Before|Below|Black|Blank|BlankForm|BlankNullSequence|BlankSequence|Blue|Bold|Booleans|Bottom|Brown|Byte|Catalan|CellStyle|Center|Character|Complex|Complexes|ComplexInfinity|Connect|Constant|ConvertToPostScriptPacket|Cyan|Dashed|DavisDistribution|Decimal|DefaultAxesStyle|DefaultBaseStyle|DefaultBoxStyle|DefaultFaceGridsStyle|DefaultFieldHintStyle|DefaultFrameStyle|DefaultFrameTicksStyle|DefaultGridLinesStyle|DefaultLabelStyle|DefaultMenuStyle|DefaultTicksStyle|DefaultTooltipStyle|Degree|Delimiter|DigitCharacter|DotDashed|Dotted|DragAndDrop|E|EndOfBuffer|EndOfFile|EndOfLine|EndOfString|EulerGamma|Expression|False|Flat|FontProperties|Forward|ForwardBackward|Friday|Front|FrontEndDynamicExpression|Full|General|Generic|Glaisher|GoldenAngle|GoldenRatio|Gray|Green|Here|HexadecimalCharacter|HoldAll|HoldAllComplete|HoldFirst|HoldRest|HorizontalForm|I|Indeterminate|Inequality|Infinity|Inherited|InputToBoxFormPacket|Integer|Integers|InterpretTemplate|Italic|K|Khinchin|Large|Larger|Launch|Left|LetterCharacter|LightBlue|LightBrown|LightCyan|LightGray|LightGreen|LightMagenta|LightOrange|LightPink|LightPurple|LightRed|LightYellow|LinkOpen|LinkService|Listable|Listen|Locked|LongestMatch|Loopback|MachinePrecision|Magenta|Manual|MatchLocalNameQ|Medium|MeshCellCentroid|MeshCellMeasure|MeshCellQuality|Modular|Monday|NHoldAll|NHoldFirst|NHoldRest|NonAssociative|None|Nothing|Now|NoWhitespace|Null|Number|NumberString|NumericFunction|OneIdentity|Orange|Orderless|OutputMathEditExpression|ParentForm|Pi|Pink|Plain|Primes|Protected|PunctuationCharacter|Purple|Rational|Rationals|RawMedium|ReadProtected|Real|Reals|Record|Red|RepeatedString|ReturnInputFormPacket|Right|RuleCondition|RuleForm|Saturday|SequenceHold|Slot|Small|Smaller|Socket|SpanFromAbove|SpanFromBoth|SpanFromLeft|StartOfLine|StartOfString|String|Stub|Sunday|Temporary|Thick|Thin|ThisLink|Thursday|Tiny|Today|Tomorrow|TooBig|Top|Transparent|True|Tuesday|Undefined|Underlined|URLFetch|URLFetchAsynchronous|URLSave|URLSaveAsynchronous|ValueForm|VerticalForm|Wednesday|White|Whitespace|WhitespaceCharacter|Word|WordBoundary|WordCharacter|Yellow|Yesterday|\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowDataUpdates|\$AllowDocumentationUpdates|\$AllowExternalChannelFunctions|\$AllowInternet|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BasePacletsDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$devTextSearchOutput|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InternetProxyRules|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$NumberOfExtraPages|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$PacletSite|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserBasePacletsDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID - )\b - - built_in_numeric_constants: |- - (?x) - \b(?: - Catalan|Degree|E|EulerGamma|Glaisher|GoldenAngle|GoldenRatio|I|Khinchin|MachinePrecision|Pi - )\b - + built_in_functions: AASTriangle|AbelianGroup|Abort|AbortKernels|AbortProtect|AbortScheduledTask|Abs|AbsArg|AbsoluteCorrelation|AbsoluteCorrelationFunction|AbsoluteCurrentValue|AbsoluteDashing|AbsoluteFileName|AbsoluteOptions|AbsolutePointSize|AbsoluteThickness|AbsoluteTime|AbsoluteTiming|AccountingForm|Accumulate|Accuracy|ActionMenu|ActionMenuBoxOptions|Activate|ActiveClassification|ActiveClassificationObject|ActivePrediction|ActivePredictionObject|AcyclicGraphQ|AddSides|AddTo|AddUsers|AdjacencyGraph|AdjacencyList|AdjacencyMatrix|AdjustmentBox|AdjustTimeSeriesForecast|AdministrativeDivisionData|AffineHalfSpace|AffineSpace|AffineStateSpaceModel|AffineTransform|AggregationLayer|AircraftData|AirportData|AirPressureData|AirTemperatureData|AiryAi|AiryAiPrime|AiryAiZero|AiryBi|AiryBiPrime|AiryBiZero|AlgebraicIntegerQ|AlgebraicNumber|AlgebraicNumberDenominator|AlgebraicNumberNorm|AlgebraicNumberPolynomial|AlgebraicNumberTrace|AlgebraicUnitQ|AllTrue|Alphabet|AlphabeticOrder|AlphabeticSort|AlphaChannel|AlternatingFactorial|AlternatingGroup|Alternatives|AmbiguityList|AnatomyData|AnatomyForm|AnatomyPlot3D|And|AndersonDarlingTest|AngerJ|AngleBracket|AnglePath|AnglePath3D|AngleVector|AngularGauge|Animate|Animator|AnimatorBoxOptions|Annotation|Annuity|AnnuityDue|Annulus|AntihermitianMatrixQ|Antisymmetric|AntisymmetricMatrixQ|AnyOrder|AnySubset|AnyTrue|Apart|ApartSquareFree|APIFunction|AppellF1|Append|AppendLayer|AppendTo|Apply|ApplySides|ArcCos|ArcCosh|ArcCot|ArcCoth|ArcCsc|ArcCsch|ArcCurvature|ARCHProcess|ArcLength|ArcSec|ArcSech|ArcSin|ArcSinDistribution|ArcSinh|ArcTan|ArcTanh|Area|Arg|ArgMax|ArgMin|ArgumentCountQ|ARIMAProcess|ArithmeticGeometricMean|ARMAProcess|ARProcess|Array|ArrayComponents|ArrayDepth|ArrayFilter|ArrayFlatten|ArrayMesh|ArrayPad|ArrayPlot|ArrayQ|ArrayResample|ArrayReshape|ArrayRules|Arrays|Arrow|Arrowheads|ASATriangle|Ask|AskAppend|AskConfirm|AskDisplay|AskedQ|AskedValue|AskFunction|AskState|AskTemplateDisplay|Assert|AssociateTo|Association|AssociationMap|AssociationQ|AssociationThread|Assuming|AstronomicalData|AsymptoticDSolveValue|AsymptoticEqual|AsymptoticEquivalent|AsymptoticGreater|AsymptoticGreaterEqual|AsymptoticIntegrate|AsymptoticLess|AsymptoticLessEqual|AsymptoticOutputTracker|AsynchronousTaskObject|AsynchronousTasks|AtomQ|Attributes|Audio|AudioAmplify|AudioBlockMap|AudioCapture|AudioChannelCombine|AudioChannelMix|AudioChannels|AudioChannelSeparate|AudioData|AudioDelay|AudioDelete|AudioDistance|AudioFade|AudioFrequencyShift|AudioGenerator|AudioInsert|AudioIntervals|AudioJoin|AudioLength|AudioLocalMeasurements|AudioLoudness|AudioMeasurements|AudioNormalize|AudioOverlay|AudioPad|AudioPan|AudioPartition|AudioPause|AudioPitchShift|AudioPlay|AudioPlot|AudioQ|AudioRecord|AudioReplace|AudioResample|AudioReverb|AudioSampleRate|AudioSpectralMap|AudioSpectralTransformation|AudioSplit|AudioStop|AudioStream|AudioStreams|AudioTimeStretch|AudioTrim|AudioType|AugmentedSymmetricPolynomial|AuthenticationDialog|Autocomplete|AutocompletionFunction|AutocorrelationTest|AutoRefreshed|AutoSubmitting|BabyMonsterGroupB|Backslash|Ball|Band|BandpassFilter|BandstopFilter|BarabasiAlbertGraphDistribution|BarChart|BarChart3D|BarcodeImage|BarcodeRecognize|BaringhausHenzeTest|BarLegend|BarlowProschanImportance|BarnesG|BartlettHannWindow|BartlettWindow|BaseDecode|BaseEncode|BaseForm|BasicRecurrentLayer|BatchNormalizationLayer|BatesDistribution|BattleLemarieWavelet|BayesianMaximization|BayesianMaximizationObject|BayesianMinimizationObject|Because|BeckmannDistribution|Beep|Begin|BeginDialogPacket|BeginPackage|BellB|BellY|BenfordDistribution|BeniniDistribution|BenktanderGibratDistribution|BenktanderWeibullDistribution|BernoulliB|BernoulliDistribution|BernoulliGraphDistribution|BernoulliProcess|BernsteinBasis|BesselFilterModel|BesselI|BesselJ|BesselJZero|BesselK|BesselY|BesselYZero|Beta|BetaBinomialDistribution|BetaDistribution|BetaNegativeBinomialDistribution|BetaPrimeDistribution|BetaRegularized|Between|BetweennessCentrality|BezierCurve|BezierCurve3DBoxOptions|BezierCurveBoxOptions|BezierFunction|BilateralFilter|Binarize|BinaryDeserialize|BinaryDistance|BinaryImageQ|BinaryRead|BinaryReadList|BinarySerialize|BinaryWrite|BinCounts|BinLists|Binomial|BinomialDistribution|BinomialProcess|BinormalDistribution|BiorthogonalSplineWavelet|BipartiteGraphQ|BiquadraticFilterModel|BirnbaumImportance|BirnbaumSaundersDistribution|BitAnd|BitClear|BitGet|BitLength|BitNot|BitOr|BitSet|BitShiftLeft|BitShiftRight|BitXor|BiweightLocation|BiweightMidvariance|BlackmanHarrisWindow|BlackmanNuttallWindow|BlackmanWindow|Blend|Block|BlockchainBlockData|BlockchainData|BlockchainGet|BlockchainPut|BlockchainTransactionData|BlockMap|BlockRandom|BlomqvistBeta|BlomqvistBetaTest|Blur|BodePlot|BohmanWindow|Boole|BooleanConsecutiveFunction|BooleanConvert|BooleanCountingFunction|BooleanFunction|BooleanGraph|BooleanMaxterms|BooleanMinimize|BooleanMinterms|BooleanQ|BooleanRegion|BooleanTable|BooleanVariables|BorderDimensions|BorelTannerDistribution|BottomHatTransform|BoundaryDiscretizeGraphics|BoundaryDiscretizeRegion|BoundaryMesh|BoundaryMeshRegion|BoundaryMeshRegionQ|BoundedRegionQ|BoundingRegion|BoxData|BoxMatrix|BoxObject|BoxWhiskerChart|BracketingBar|BrayCurtisDistance|BreadthFirstScan|Break|BridgeData|BrightnessEqualize|BroadcastStationData|BrownForsytheTest|BrownianBridgeProcess|BSplineBasis|BSplineCurve|BSplineCurve3DBoxOptions|BSplineCurveBoxOptions|BSplineFunction|BSplineSurface|BSplineSurface3DBoxOptions|BubbleChart|BubbleChart3D|BuildingData|BulletGauge|BusinessDayQ|ButterflyGraph|ButterworthFilterModel|Button|ButtonBar|ButtonBox|ButtonNotebook|ByteArray|ByteArrayQ|ByteArrayToString|ByteCount|C|CalendarConvert|CalendarData|Callout|CallPacket|CanberraDistance|Cancel|CancelButton|CandlestickChart|CanonicalGraph|CanonicalName|CanonicalWarpingCorrespondence|CanonicalWarpingDistance|CantorMesh|CantorStaircase|Cap|CapForm|CapitalDifferentialD|Capitalize|CapsuleShape|CarlemanLinearize|CarmichaelLambda|Cases|CaseSensitive|Cashflow|Casoratian|CatalanNumber|Catch|Catenate|CatenateLayer|CauchyDistribution|CauchyWindow|CayleyGraph|CDF|CDFDeploy|CDFInformation|CDFWavelet|Ceiling|Cell|CellGroup|CellGroupData|CellObject|CellPrint|Cells|CellularAutomaton|CensoredDistribution|Censoring|CenterArray|CenterDot|CentralFeature|CentralMoment|CentralMomentGeneratingFunction|Cepstrogram|CepstrogramArray|CepstrumArray|CForm|ChampernowneNumber|ChannelListen|ChannelListener|ChannelListeners|ChannelObject|ChannelReceiverFunction|ChannelSend|ChannelSubscribers|ChanVeseBinarize|CharacterCounts|CharacteristicFunction|CharacteristicPolynomial|CharacterName|CharacterRange|Characters|Chebyshev1FilterModel|Chebyshev2FilterModel|ChebyshevDistance|ChebyshevT|ChebyshevU|Check|CheckAbort|CheckAll|Checkbox|CheckboxBar|CheckboxBoxOptions|ChemicalData|ChessboardDistance|ChiDistribution|ChineseRemainder|ChiSquareDistribution|ChoiceButtons|ChoiceDialog|CholeskyDecomposition|Chop|ChromaticityPlot|ChromaticityPlot3D|ChromaticPolynomial|Circle|CircleDot|CircleMinus|CirclePlus|CirclePoints|CircleTimes|CirculantGraph|CircularOrthogonalMatrixDistribution|CircularQuaternionMatrixDistribution|CircularRealMatrixDistribution|CircularSymplecticMatrixDistribution|CircularUnitaryMatrixDistribution|Circumsphere|CityData|ClassifierFunction|ClassifierInformation|ClassifierMeasurements|ClassifierMeasurementsObject|Classify|Clear|ClearAll|ClearAttributes|ClearCookies|ClearPermissions|ClearSystemCache|ClebschGordan|ClickPane|Clip|Clock|ClockGauge|Close|CloseKernels|ClosenessCentrality|Closing|CloudAccountData|CloudConnect|CloudDeploy|CloudDirectory|CloudDisconnect|CloudEvaluate|CloudExport|CloudExpression|CloudExpressions|CloudFunction|CloudGet|CloudImport|CloudLoggingData|CloudObject|CloudObjects|CloudPublish|CloudPut|CloudSave|CloudShare|CloudSubmit|CloudSymbol|CloudUnshare|ClusterClassify|ClusteringComponents|ClusteringTree|CMYKColor|Coefficient|CoefficientArrays|CoefficientList|CoefficientRules|CoifletWavelet|Collect|Colon|ColonForm|ColorBalance|ColorCombine|ColorConvert|ColorData|ColorDataFunction|ColorDistance|Colorize|ColorNegate|ColorProfileData|ColorQ|ColorQuantize|ColorReplace|ColorSeparate|ColorSetter|ColorSetterBoxOptions|ColorSlider|ColorToneMapping|Column|ColumnForm|CometData|Commonest|CommonestFilter|CommonName|CommonUnits|CommunityGraphPlot|CompanyData|CompatibleUnitQ|Compile|CompiledFunction|Complement|CompleteGraph|CompleteGraphQ|CompleteKaryTree|ComplexExpand|ComponentMeasurements|ComposeList|ComposeSeries|CompositeQ|Composition|CompoundElement|CompoundExpression|CompoundPoissonDistribution|CompoundPoissonProcess|CompoundRenewalProcess|Compress|Condition|ConditionalExpression|Conditioned|Cone|ConformAudio|ConformImages|Congruent|ConicHullRegion|Conjugate|ConjugateTranspose|Conjunction|ConnectedComponents|ConnectedGraphComponents|ConnectedGraphQ|ConnectedMeshComponents|ConnectLibraryCallbackFunction|ConnectSystemModelComponents|ConnesWindow|ConoverTest|ConstantArray|ConstantArrayLayer|ConstantImage|ConstantPlusLayer|ConstantRegionQ|ConstantTimesLayer|ConstellationData|Construct|Containing|ContainsAll|ContainsAny|ContainsExactly|ContainsNone|ContainsOnly|ContentObject|Context|Contexts|ContextToFileName|Continue|ContinuedFraction|ContinuedFractionK|ContinuousMarkovProcess|ContinuousTask|ContinuousTimeModelQ|ContinuousWaveletData|ContinuousWaveletTransform|ContourDetect|ContourGraphics|ContourPlot|ContourPlot3D|ContraharmonicMean|ContrastiveLossLayer|Control|ControlActive|ControllabilityGramian|ControllabilityMatrix|ControllableDecomposition|ControllableModelQ|ControllerInformation|ControllerManipulate|ControllerState|Convergents|ConvexHullMesh|ConvolutionLayer|Convolve|ConwayGroupCo1|ConwayGroupCo2|ConwayGroupCo3|CoordinateBoundingBox|CoordinateBoundingBoxArray|CoordinateBounds|CoordinateBoundsArray|CoordinateChartData|CoordinateTransform|CoordinateTransformData|CoprimeQ|Coproduct|CopulaDistribution|CopyDatabin|CopyDirectory|CopyFile|CopyToClipboard|CornerFilter|Correlation|CorrelationDistance|CorrelationFunction|Correlati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|RegionNearestFunction|RegionPlot|RegionPlot3D|RegionProduct|RegionQ|RegionResize|RegionSymmetricDifference|RegionUnion|RegionWithin|RegisterExternalEvaluator|RegularExpression|RegularlySampledQ|RegularPolygon|ReIm|Reinstall|RelationGraph|ReleaseHold|ReliabilityDistribution|ReliefImage|ReliefPlot|RemoteConnect|RemoteConnectionObject|RemoteRun|RemoteRunProcess|Remove|RemoveAlphaChannel|RemoveAsynchronousTask|RemoveAudioStream|RemoveBackground|RemoveChannelListener|Removed|RemoveDiacritics|RemoveInputStreamMethod|RemoveOutputStreamMethod|RemoveProperty|RemoveScheduledTask|RemoveUsers|RenameDirectory|RenameFile|RenewalProcess|RenkoChart|RepairMesh|Repeated|RepeatedNull|RepeatedTiming|RepeatingElement|Replace|ReplaceAll|ReplaceImageValue|ReplaceList|ReplacePart|ReplacePixelValue|ReplaceRepeated|ReplicateLayer|ResamplingAlgorithmData|Rescale|RescalingTransform|ResetDirectory|ResetScheduledTask|ReshapeLayer|Residue|ResizeLayer|Resolve|ResourceData|ResourceObject|ResourceRegister|ResourceRemove|ResourceSearch|ResourceSubmit|ResourceUpdate|ResponseForm|Rest|Restricted|Resultant|ResumePacket|Return|ReturnExpressionPacket|ReturnPacket|ReturnTextPacket|Reverse|ReverseBiorthogonalSplineWavelet|ReverseElement|ReverseEquilibrium|ReverseGraph|ReverseSort|ReverseUpEquilibrium|RevolutionPlot3D|RGBColor|RiccatiSolve|RiceDistribution|RidgeFilter|RiemannR|RiemannSiegelTheta|RiemannSiegelZ|RiemannXi|Riffle|RightArrow|RightArrowBar|RightArrowLeftArrow|RightComposition|RightCosetRepresentative|RightDownTeeVector|RightDownVector|RightDownVectorBar|RightTee|RightTeeArrow|RightTeeVector|RightTriangle|RightTriangleBar|RightTriangleEqual|RightUpDownVector|RightUpTeeVector|RightUpVector|RightUpVectorBar|RightVector|RightVectorBar|RiskAchievementImportance|RiskReductionImportance|RogersTanimotoDissimilarity|RollPitchYawAngles|RollPitchYawMatrix|RomanNumeral|Root|RootApproximant|RootIntervals|RootLocusPlot|RootMeanSquare|RootOfUnityQ|RootReduce|Roots|RootSum|Rotate|RotateLeft|RotateRight|RotationBoxOptions|RotationMatrix|RotationTransform|Round|Row|RowBox|RowReduce|RSolve|RSolveValue|RudinShapiro|RudvalisGroupRu|Rule|RuleDelayed|RulePlot|Run|RunProcess|RunScheduledTask|RunThrough|RussellRaoDissimilarity|SameQ|SampledSoundFunction|SampledSoundList|SARIMAProcess|SARMAProcess|SASTriangle|SatelliteData|SatisfiabilityCount|SatisfiabilityInstances|SatisfiableQ|Save|SavitzkyGolayMatrix|SawtoothWave|Scale|Scaled|ScalingMatrix|ScalingTransform|Scan|ScheduledTask|ScheduledTaskActiveQ|ScheduledTaskObject|ScheduledTasks|SchurDecomposition|ScientificForm|ScorerGi|ScorerGiPrime|ScorerHi|ScorerHiPrime|SearchAdjustment|SearchIndexObject|SearchIndices|SearchQueryString|SearchResultObject|Sec|Sech|SechDistribution|SectorChart|SectorChart3D|SecuredAuthenticationKey|SecuredAuthenticationKeys|SeedRandom|Select|SelectComponents|SelectedCells|SelectedNotebook|SelectFirst|SelectionAnimate|SelectionCreateCell|SelectionEvaluate|SelectionEvaluateCreateCell|SelectionMove|SemanticImport|SemanticImportString|SemanticInterpretation|SemialgebraicComponentInstances|SendMail|SendMessage|Sequence|SequenceAlignment|SequenceAttentionLayer|SequenceCases|SequenceCount|SequenceFold|SequenceFoldList|SequenceForm|SequenceLastLayer|SequenceMostLayer|SequencePosition|SequencePredict|SequencePredictorFunction|SequenceReplace|SequenceRestLayer|SequenceReverseLayer|SequenceSplit|Series|SeriesCoefficient|SeriesData|ServiceConnect|ServiceDisconnect|ServiceExecute|ServiceObject|SessionSubmit|SessionTime|Set|SetAccuracy|SetAlphaChannel|SetAttributes|SetCloudDirectory|SetCookies|SetDelayed|SetDirectory|SetEnvironment|SetFileDate|SetOptions|SetPermissions|SetPrecision|SetProperty|SetSelectedNotebook|SetSharedFunction|SetSharedVariable|SetStreamPosition|SetSystemModel|SetSystemOptions|Setter|SetterBar|SetterBoxOptions|Setting|SetUsers|Shallow|ShannonWavelet|ShapiroWilkTest|Share|Sharpen|ShearingMatrix|ShearingTransform|ShellRegion|ShenCastanMatrix|ShiftedGompertzDistribution|ShiftRegisterSequence|Short|ShortDownArrow|Shortest|ShortestMatch|ShortestPathFunction|ShortLeftArrow|ShortRightArrow|ShortUpArrow|Show|SiderealTime|SiegelTheta|SiegelTukeyTest|SierpinskiCurve|SierpinskiMesh|Sign|Signature|SignedRankTest|SignedRegionDistance|SignTest|SimpleGraph|SimpleGraphQ|Simplex|Simplify|Sin|Sinc|SinghMaddalaDistribution|SingularValueDecomposition|SingularValueList|SingularValuePlot|SingularValues|Sinh|SinhIntegral|SinIntegral|SixJSymbol|Skeleton|SkeletonTransform|SkellamDistribution|Skewness|SkewNormalDistribution|Skip|SliceContourPlot3D|SliceDensityPlot3D|SliceDistribution|SliceVectorPlot3D|Slider|Slider2D|Slider2DBoxOptions|SliderBoxOptions|SlideView|SmallCircle|SmithDecomposition|SmithDelayCompensator|SmithWatermanSimilarity|SmoothDensityHistogram|SmoothHistogram|SmoothHistogram3D|SmoothKernelDistribution|SnDispersion|Snippet|SocialMediaData|SocketConnect|SocketListen|SocketListener|SocketObject|SocketOpen|SocketReadMessage|SocketReadyQ|Sockets|SocketWaitAll|SocketWaitNext|SoftmaxLayer|SokalSnea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|ThreadingLayer|ThreeJSymbol|Threshold|Through|Throw|ThueMorse|Thumbnail|TideData|Tilde|TildeEqual|TildeFullEqual|TildeTilde|TimeConstrained|TimelinePlot|TimeObject|TimeObjectQ|Times|TimesBy|TimeSeries|TimeSeriesAggregate|TimeSeriesForecast|TimeSeriesInsert|TimeSeriesInvertibility|TimeSeriesMap|TimeSeriesMapThread|TimeSeriesModel|TimeSeriesModelFit|TimeSeriesResample|TimeSeriesRescale|TimeSeriesShift|TimeSeriesThread|TimeSeriesWindow|TimeUsed|TimeValue|TimeWarpingCorrespondence|TimeWarpingDistance|TimeZoneConvert|TimeZoneOffset|Timing|TitsGroupT|ToBoxes|ToCharacterCode|ToColor|ToContinuousTimeModel|ToDate|ToDiscreteTimeModel|ToEntity|ToeplitzMatrix|ToExpression|ToFileName|Together|Toggler|TogglerBar|TogglerBoxOptions|ToInvertibleTimeSeries|ToLowerCase|ToNumberField|Tooltip|TooltipBoxOptions|TopHatTransform|ToPolarCoordinates|TopologicalSort|ToRadicals|ToRules|ToSphericalCoordinates|ToString|Total|TotalLayer|TotalVariationFilter|TouchPosition|ToUpperCase|Tr|Trace|TraceDialog|TraceLevel|TracePrint|TraceScan|TracyWidomDistribution|TradingChart|TraditionalForm|TransferFunctionCancel|TransferFunctionExpand|TransferFunctionFactor|TransferFunctionModel|TransferFunctionPoles|TransferFunctionTransform|TransferFunctionZeros|TransformationFunction|TransformationMatrix|TransformedDistribution|TransformedField|TransformedProcess|TransformedRegion|TransitiveClosureGraph|TransitiveReductionGraph|Translate|TranslationOptions|TranslationTransform|Transliterate|Transpose|TransposeLayer|TravelDirections|TravelDirectionsData|TravelDistance|TravelDistanceList|TravelTime|TreeForm|TreeGraph|TreeGraphQ|TreePlot|Triangle|TriangleWave|TriangularDistribution|TriangulateMesh|TrigExpand|TrigFactor|TrigFactorList|Trigger|TrigReduce|TrigToExp|TrimmedMean|TrimmedVariance|TropicalStormData|TrueQ|TruncatedDistribution|TsallisQExponentialDistribution|TsallisQGaussianDistribution|TTest|Tube|TubeBezierCurveBoxOptions|TubeBoxOptions|TubeBSplineCurveBoxOptions|TukeyLambdaDistribution|TukeyWindow|TunnelData|Tuples|TuranGraph|TuringMachine|TuttePolynomial|TwoWayRule|UnateQ|Uncompress|UnderBar|Underflow|Underoverscript|UnderoverscriptBox|Underscript|UnderscriptBox|UnderseaFeatureData|UndirectedEdge|UndirectedGraph|UndirectedGraphQ|Unequal|UnequalTo|Unevaluated|UniformDistribution|UniformGraphDistribution|UniformSumDistribution|Uninstall|Union|UnionPlus|Unique|UnitaryMatrixQ|UnitBox|UnitConvert|UnitDimensions|Unitize|UnitRootTest|UnitSimplify|UnitStep|UnitTriangle|UnitVector|UnitVectorLayer|UniverseModelData|UniversityData|UnixTime|Unprotect|UnregisterExternalEvaluator|UnsameQ|Unset|UnsetShared|UpArrow|UpArrowBar|UpArrowDownArrow|Update|UpdateSearchIndex|UpDownArrow|UpEquilibrium|UpperCaseQ|UpperLeftArrow|UpperRightArrow|UpperTriangularize|Upsample|UpSet|UpSetDelayed|UpTee|UpTeeArrow|UpTo|UpValues|URL|URLBuild|URLDecode|URLDispatcher|URLDownload|URLDownloadSubmit|URLEncode|URLExecute|URLExpand|URLParse|URLQueryDecode|URLQueryEncode|URLRead|URLResponseTime|URLShorten|URLSubmit|UsingFrontEnd|V2Get|ValueBoxOptions|ValueQ|Values|Variables|Variance|VarianceEquivalenceTest|VarianceGammaDistribution|VarianceTest|VectorAngle|VectorDensityPlot|VectorPlot|VectorPlot3D|VectorQ|Vectors|Vee|Verbatim|VerificationTest|VertexAdd|VertexComponent|VertexConnectivity|VertexContract|VertexCorrelationSimilarity|VertexCosineSimilarity|VertexCount|VertexCoverQ|VertexDegree|VertexDelete|VertexDiceSimilarity|VertexEccentricity|VertexInComponent|VertexInDegree|VertexIndex|VertexJaccardSimilarity|VertexList|VertexOutComponent|VertexOutDegree|VertexQ|VertexReplace|VerticalBar|VerticalGauge|VerticalSeparator|VerticalSlider|VerticalTilde|VoigtDistribution|VolcanoData|Volume|VonMisesDistribution|VoronoiMesh|WaitAll|WaitAsynchronousTask|WaitNext|WakebyDistribution|WalleniusHypergeometricDistribution|WaringYuleDistribution|WarpingCorrespondence|WarpingDistance|WatershedComponents|WatsonUSquareTest|WattsStrogatzGraphDistribution|WaveletBestBasis|WaveletFilterCoefficients|WaveletImagePlot|WaveletListPlot|WaveletMapIndexed|WaveletMatrixPlot|WaveletPhi|WaveletPsi|WaveletScalogram|WaveletThreshold|WeaklyConnectedComponents|WeaklyConnectedGraphComponents|WeaklyConnectedGraphQ|WeakStationarity|WeatherData|WeatherForecastData|WeberE|WebImageSearch|WebSearch|Wedge|WeibullDistribution|WeierstrassE1|WeierstrassE2|WeierstrassE3|WeierstrassEta1|WeierstrassEta2|WeierstrassEta3|WeierstrassHalfPeriods|WeierstrassHalfPeriodW1|WeierstrassHalfPeriodW2|WeierstrassHalfPeriodW3|WeierstrassInvariantG2|WeierstrassInvariantG3|WeierstrassInvariants|WeierstrassP|WeierstrassPPrime|WeierstrassSigma|WeierstrassZeta|WeightedAdjacencyGraph|WeightedAdjacencyMatrix|WeightedData|WeightedGraphQ|WelchWindow|WheelGraph|WhenEvent|Which|While|WhiteNoiseProcess|WhittakerM|WhittakerW|WienerFilter|WienerProcess|WignerD|WignerSemicircleDistribution|WikipediaData|WikipediaSearch|WilksW|WilksWTest|WindDirectionData|WindSpeedData|WindVectorData|WinsorizedMean|WinsorizedVariance|WishartMatrixDistribution|With|WolframAlpha|Wolfram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+ built_in_options: AccuracyGoal|Active|ActiveStyle|AddOnHelpPath|AdjustmentBoxOptions|Alignment|AlignmentPoint|AllowedCloudExtraParameters|AllowedCloudParameterExtensions|AllowedDimensions|AllowGroupClose|AllowInlineCells|AllowLooseGrammar|AllowReverseGroupClose|AllowScriptLevelChange|AlternateImage|AlternativeHypothesis|AltitudeMethod|AmbientLight|AmbiguityFunction|Analytic|AnchoredSearch|AnimationCycleOffset|AnimationCycleRepetitions|AnimationDirection|AnimationDisplayTime|AnimationRate|AnimationRepetitions|AnimationRunning|AnimationRunTime|AnimationTimeIndex|Antialiasing|Appearance|AppearanceElements|AppearanceRules|AspectRatio|AspectRatioFixed|AssociationFormat|AssumeDeterministic|Assumptions|Asynchronous|AudioChannelAssignment|AudioDevice|AudioInputDevice|AudioLabel|AudioLooping|AudioOutputDevice|Authentication|AutoAction|AutoCopy|AutoDelete|AutoGeneratedPackage|AutoIndent|AutoItalicWords|AutoloadPath|AutoMultiplicationSymbol|AutoOpenNotebooks|AutoOpenPalettes|AutoRemove|AutorunSequencing|AutoScroll|AutoSpacing|Axes|AxesEdge|AxesLabel|AxesOrigin|AxesStyle|Background|BarOrigin|BarSpacing|BaselinePosition|BaseStyle|BatchSize|BinaryFormat|BlockchainBase|Bookmarks|BooleanStrings|BoundaryStyle|BoxBaselineShift|Boxed|BoxFormFormatTypes|BoxFrame|BoxMargins|BoxRatios|BoxStyle|BubbleScale|BubbleSizes|ButtonBoxOptions|ButtonData|ButtonEvaluator|ButtonExpandable|ButtonFrame|ButtonFunction|ButtonMargins|ButtonMinHeight|ButtonNote|ButtonSource|ButtonStyle|ByteOrdering|CachePersistence|CalendarType|CalloutMarker|CalloutStyle|CaptureRunning|CaseOrdering|CelestialSystem|CellAutoOverwrite|CellBaseline|CellBracketOptions|CellChangeTimes|CellContext|CellDingbat|CellDynamicExpression|CellEditDuplicate|CellEpilog|CellEvaluationDuplicate|CellEvaluationFunction|CellEventActions|CellFrame|CellFrameColor|CellFrameLabelMargins|CellFrameLabels|CellFrameMargins|CellGrouping|CellGroupingRules|CellHorizontalScrolling|CellID|CellLabel|CellLabelAutoDelete|CellLabelMargins|CellLabelPositioning|CellLabelStyle|CellMargins|CellOpen|CellProlog|CellSize|CellTags|ChannelBase|ChannelBrokerAction|ChannelDatabin|ChannelPreSendFunction|CharacterEncoding|CharacterEncodingsPath|ChartBaseStyle|ChartElementFunction|ChartElements|ChartLabels|ChartLayout|ChartLegends|ChartStyle|ClassPriors|ClipFill|ClippingStyle|ClipPlanes|ClipPlanesStyle|ClipRange|ClosingAutoSave|CloudBase|ClusterDissimilarityFunction|CodeAssistOptions|ColorCoverage|ColorFunction|ColorFunctionScaling|ColorOutput|ColorRules|ColorSelectorSettings|ColorSpace|ColumnAlignments|ColumnLines|ColumnsEqual|ColumnSpacings|ColumnWidths|CombinerFunction|CommonDefaultFormatTypes|CommunityBoundaryStyle|CommunityLabels|CommunityRegionStyle|CompilationOptions|CompilationTarget|Compiled|ComplexityFunction|ConfidenceLevel|ConfidenceRange|ConfidenceTransform|ConfigurationPath|Constants|ContentFieldOptions|ContentLocationFunction|ContentPadding|ContentSelectable|ContentSize|ContinuousAction|ContourLabels|ContourLines|Contours|ContourShading|ContourStyle|ControllerLinking|ControllerMethod|ControllerPath|ControlPlacement|ControlsRendering|ControlType|ConversionOptions|ConversionRules|CookieFunction|CoordinatesToolOptions|Copyable|CornerNeighbors|CounterAssignments|CounterFunction|CounterIncrements|CounterStyleMenuListing|CovarianceEstimatorFunction|CreateCellID|CreateIntermediateDirectories|CriterionFunction|Cubics|CurveClosed|DampingFactor|DataRange|DataReversed|DateFormat|DateFunction|DateReduction|DateTicksFormat|DayCountConvention|DefaultColor|DefaultDuplicateCellStyle|DefaultDuration|DefaultElement|DefaultFontProperties|DefaultFormatType|DefaultInlineFormatType|DefaultNaturalLanguage|DefaultNewCellStyle|DefaultNewInlineCellStyle|DefaultNotebook|DefaultOptions|DefaultPrintPrecision|DefaultStyleDefinitions|Deinitialization|Deletable|DeleteContents|DeletionWarning|DelimiterFlashTime|DelimiterMatching|Delimiters|DeliveryFunction|DependentVariables|Deployed|DescriptorStateSpace|DiacriticalPositioning|DialogProlog|DialogSymbols|DigitBlock|DirectedEdges|Direction|DiscreteVariables|DispersionEstimatorFunction|DisplayAllSteps|DisplayFunction|DistanceFunction|DistributedContexts|Dithering|Dividers|DockedCells|DocumentWeightingRules|DOSTextFormat|DoublyInfinite|DynamicEvaluationTimeout|DynamicModuleValues|EclipseType|EdgeCapacity|EdgeCost|EdgeLabeling|EdgeLabels|EdgeLabelStyle|EdgeRenderingFunction|EdgeShapeFunction|EdgeStyle|EdgeWeight|Editable|EditCellTagsSettings|ElidedForms|Enabled|Epilog|EpilogFunction|EqualColumns|EqualRows|EquatedTo|EscapeRadius|Evaluatable|EvaluationCompletionAction|EvaluationElements|EvaluationEnvironment|EvaluationMonitor|Evaluator|EvaluatorNames|EventLabels|ExactRootIsolation|ExcludedForms|ExcludedLines|ExcludedPhysicalQuantities|ExcludePods|Exclusions|ExclusionsStyle|ExpirationDate|ExponentFunction|ExponentialFamily|ExponentPosition|ExponentStep|ExportAutoReplacements|Extension|ExtentElementFunction|ExtentMarkers|ExtentSize|ExternalDataCharacterEncoding|ExternalOptions|ExternalTypeSignature|FaceGrids|FaceGridsStyle|FailureAction|FeatureExtractor|FeatureNames|FeatureTypes|FeedbackSector|FeedbackSectorStyle|FeedbackType|FieldCompletionFunction|FieldHint|FieldHintStyle|FieldMasked|FieldSize|FileNameDialogSettings|FileNameForms|Filling|FillingStyle|FindSettings|FollowRedirects|FontColor|FontFamily|FontPostScriptName|FontSize|FontSlant|FontSubstitutions|FontTracking|FontVariations|FontWeight|FormatType|FormatTypeAutoConvert|FormBoxOptions|FormLayoutFunction|FormTheme|FourierParameters|FractionBoxOptions|FractionLine|Frame|FrameBoxOptions|FrameLabel|FrameMargins|FrameRate|FrameStyle|FrameTicks|FrameTicksStyle|FrontEndEventActions|FrontEndStackSize|FunctionSpace|GapPenalty|GaugeFaceElementFunction|GaugeFaceStyle|GaugeFrameElementFunction|GaugeFrameSize|GaugeFrameStyle|GaugeLabels|GaugeMarkers|GaugeStyle|GaussianIntegers|GenerateConditions|GeneratedCell|GeneratedDocumentBinding|GeneratedParameters|GeneratedQuantityMagnitudes|GeneratorDescription|GeneratorHistoryLength|GeneratorOutputType|GeoBackground|GeoCenter|GeoGridLines|GeoGridLinesStyle|GeoLabels|GeoLocation|GeoModel|GeoProjection|GeoRange|GeoRangePadding|GeoScaleBar|GeoServer|GeoStylingImageFunction|GeoZoomLevel|Gradient|GraphHighlight|GraphHighlightStyle|GraphicsSpacing|GraphLayout|GraphStyle|GridBaseline|GridCreationSettings|GridDefaultElement|GridFrame|GridFrameMargins|GridLines|GridLinesStyle|GroupActionBase|GroupPageBreakWithin|HandlerFunctions|HandlerFunctionsKeys|HeaderLines|Heads|HelpBrowserSettings|HiddenSurface|HolidayCalendar|Hyphenation|IconRules|IgnoreCase|IgnoreDiacritics|IgnorePunctuation|ImageCaptureFunction|ImageFormattingWidth|ImageMargins|ImagePadding|ImagePreviewFunction|ImageRegion|ImageResolution|ImageRotated|ImageSize|ImageSizeAction|ImageSizeMultipliers|ImagingDevice|ImportAutoReplacements|ImportOptions|IncludeConstantBasis|IncludeFileExtension|IncludeGeneratorTasks|IncludeInflections|IncludeMetaInformation|IncludePods|IncludeQuantities|IncludeSingularTerm|IncludeWindowTimes|IndeterminateThreshold|InflationMethod|InheritScope|InitialEvaluationHistory|Initialization|InitializationCell|InitializationCellEvaluation|InitializationCellWarning|InputAliases|InputAssumptions|InputAutoReplacements|InsertionFunction|InsertResults|Interactive|Interleaving|InterpolationOrder|InterpolationPoints|InterpretationBoxOptions|InverseFunctions|ItemAspectRatio|ItemSize|ItemStyle|Jacobian|Joined|KeyCollisionFunction|KeypointStrength|LabelingFunction|LabelingSize|LabelStyle|Language|LanguageCategory|LayerSizeFunction|LeaderSize|LearningRateMultipliers|LegendAppearance|LegendFunction|LegendLabel|LegendLayout|LegendMargins|LegendMarkers|LegendMarkerSize|LicenseID|Lighting|LightingAngle|LightSources|LimitsPositioning|LimitsPositioningTokens|LinearOffsetFunction|LinebreakAdjustments|LineBreakWithin|LineIndent|LineIndentMaxFraction|LineIntegralConvolutionScale|LineSpacing|LinkFunction|LinkHost|LinkMode|LinkProtocol|ListFormat|ListPickerBoxOptions|LocalizeVariables|LocatorAutoCreate|LocatorRegion|LongForm|LossFunction|MachineID|MachineName|Magnification|MailAddressValidation|MailResponseFunction|MailSettings|MakeRules|Masking|MatchLocalNames|MaxCellMeasure|MaxDuration|MaxExtraBandwidths|MaxExtraConditions|MaxFeatureDisplacement|MaxFeatures|MaxItems|MaxIterations|MaxMixtureKernels|MaxPlotPoints|MaxPoints|MaxRecursion|MaxStepFraction|MaxSteps|MaxStepSize|MaxTrainingRounds|MaxWordGap|MemoryConstraint|MenuCommandKey|MenuSortingValue|MenuStyle|MergingFunction|Mesh|MeshCellHighlight|MeshCellLabel|MeshCellMarker|MeshCellShapeFunction|MeshCellStyle|MeshFunctions|MeshQualityGoal|MeshRefinementFunction|MeshShading|MeshStyle|MetaCharacters|MetaInformation|Method|MinColorDistance|MinIntervalSize|MinRecursion|MinSize|MissingBehavior|MissingDataMethod|MissingDataRules|MissingString|MissingStyle|Modal|Mode|MultiedgeStyle|MultilaunchWarning|MultilineFunction|Multiplicity|Multiselection|NetEvaluationMode|NicholsGridLines|NominalVariables|NonConstants|Normalized|NormalsFunction|NormFunction|NotebookAutoSave|NotebookConvertSettings|NotebookDynamicExpression|NotebookEventActions|NotebookPath|NotebooksMenu|NotificationFunction|NProductFactors|NSumTerms|NullRecords|NullWords|NumberFormat|NumberMarks|NumberMultiplier|NumberPadding|NumberPoint|NumberSeparator|NumberSigns|NyquistGridLines|OpacityFunction|OpacityFunctionScaling|OperatingSystem|OptionInspectorSettings|OutputAutoOverwrite|OutputSizeLimit|Overlaps|OverscriptBoxOptions|OverwriteTarget|PackingMethod|Padding|PaddingSize|PageBreakAbove|PageBreakBelow|PageBreakWithin|PageFooterLines|PageFooters|PageHeaderLines|PageHeaders|PageTheme|PageWidth|Pagination|PalettePath|Paneled|ParagraphIndent|ParagraphSpacing|Parallelization|ParameterEstimator|ParameterVariables|PartBehavior|PartitionGranularity|PartProtection|PassEventsDown|PassEventsUp|PasteBoxFormInlineCells|Path|PerformanceGoal|Permissions|PersistenceTime|PhaseRange|PIDDerivativeFilter|PIDFeedforward|Pivoting|PixelConstrained|PlaceholderReplace|PlayRange|PlotDivision|PlotJoined|PlotLabel|PlotLabels|PlotLayout|PlotLegends|PlotMarkers|PlotPoints|PlotRange|PlotRangeClipping|PlotRangePadding|PlotRegion|PlotStyle|PlotTheme|PodStates|PodWidth|PolarAxes|PolarAxesOrigin|PolarGridLines|PolarTicks|PoleZeroMarkers|PolygonIntersections|PrecisionGoal|PreferencesPath|PreprocessingRules|PreserveColor|PreserveImageOptions|PrincipalValue|PrintAction|PrintingCopies|PrintingOptions|PrintingPageRange|PrintingStartingPageNumber|PrintingStyleEnvironment|Printout3DPreviewer|PrintPrecision|PrivateCellOptions|PrivateEvaluationOptions|PrivateFontOptions|PrivateNotebookOptions|PrivatePaths|ProcessDirectory|ProcessEnvironment|ProcessEstimator|Prolog|Properties|PublisherID|Quartics|RadicalBoxOptions|RandomSeeding|RasterSize|RealBlockDiagonalForm|RecognitionPrior|RecognitionThreshold|RecordLists|RecordSeparators|ReferenceLineStyle|RefreshRate|RegionFunction|RegionSize|Regularization|RemoteAuthorizationCaching|RenderAll|RenderingOptions|RequiredPhysicalQuantities|Resampling|ResamplingMethod|RestartInterval|ReturnReceiptFunction|RevolutionAxis|RotateLabel|RotationAction|RoundingRadius|RowAlignments|RowLines|RowMinHeight|RowsEqual|RowSpacings|RulerUnits|RuntimeAttributes|RuntimeOptions|SameTest|SampleDepth|SampleRate|SamplingPeriod|Saveable|SaveDefinitions|ScaleDivisions|ScaleOrigin|ScalePadding|ScaleRanges|ScaleRangeStyle|ScalingFunctions|ScientificNotationThreshold|ScreenRectangle|ScreenStyleEnvironment|ScriptBaselineShifts|ScriptLevel|ScriptMinSize|ScriptSizeMultipliers|Scrollbars|ScrollingOptions|ScrollPosition|SectorOrigin|SectorSpacing|Selectable|SelfLoopStyle|Shading|SharingList|ShowAutoSpellCheck|ShowAutoStyles|ShowCellBracket|ShowCellLabel|ShowCellTags|ShowClosedCellArea|ShowContents|ShowCursorTracker|ShowGroupOpenCloseIcon|ShowGroupOpener|ShowPageBreaks|ShowSelection|ShowShortBoxForm|ShowStringCharacters|ShrinkingDelay|SignificanceLevel|SignPadding|SimilarityRules|SingleLetterItalics|SkinStyle|SolveDelayed|SoundVolume|SourceLink|Spacings|SpanAdjustments|SpanCharacterRounding|SpanLineThickness|SpanMaxSize|SpanMinSize|SpanSymmetric|SpecificityGoal|SpellingCorrection|SpellingDictionaries|SpellingDictionariesPath|SpellingOptions|SphericalRegion|SplineClosed|SplineDegree|SplineKnots|SplineWeights|SqrtBoxOptions|StabilityMargins|StabilityMarginsStyle|Standardized|StartingStepSize|StartupSound|StateDimensions|StateSpaceRealization|StepMonitor|StrataVariables|StreamColorFunction|StreamColorFunctionScaling|StreamMarkers|StreamPoints|StreamScale|StreamStyle|StripOnInput|StripWrapperBoxes|StructuredSelection|StyleBoxAutoDelete|StyleDefinitions|StyleMenuListing|StyleNameDialogSettings|StyleSheetPath|SubscriptBoxOptions|SubsuperscriptBoxOptions|SuperscriptBoxOptions|SynchronousInitialization|SynchronousUpdating|SyntaxForm|SystemHelpPath|SystemModelProgressReporting|SystemsModelLabels|TabFilling|TableAlignments|TableDepth|TableDirections|TableHeadings|TableSpacing|TabSpacings|TagBoxOptions|TaggingRules|TargetDevice|TargetFunctions|TargetUnits|TemplateBoxOptions|TemporalRegularity|TestID|TextAlignment|TextClipboardType|TextJustification|TextStyle|TextureCoordinateFunction|TextureCoordinateScaling|ThreadDepth|Ticks|TicksStyle|TimeConstraint|TimeDirection|TimeFormat|TimeGoal|TimeZone|TokenWords|Tolerance|TooltipDelay|TooltipStyle|TotalWidth|TouchscreenAutoZoom|TouchscreenControlPlacement|TraceAbove|TraceAction|TraceBackward|TraceDepth|TraceForward|TraceInternal|TraceOff|TraceOn|TraceOriginal|TrackedSymbols|TrackingFunction|TraditionalFunctionNotation|TrainingProgressCheckpointing|TrainingProgressFunction|TrainingProgressReporting|TransformationClass|TransformationFunctions|TransitionDirection|TransitionDuration|TransitionEffect|TravelMethod|TrendStyle|Trig|UnderoverscriptBoxOptions|UnderscriptBoxOptions|UndoOptions|UndoTrackedVariables|UnitSystem|UnityDimensions|UnsavedVariables|UpdateInterval|Using|UtilityFunction|ValidationLength|ValidationSet|ValueDimensions|ValuePreprocessingFunction|VarianceEstimatorFunction|VectorColorFunction|VectorColorFunctionScaling|VectorMarkers|VectorPoints|VectorScale|VectorStyle|VerifyConvergence|VerifySecurityCertificates|VerifySolutions|VerifyTestAssumptions|VertexCapacity|VertexColors|VertexCoordinateRules|VertexCoordinates|VertexDataCoordinates|VertexLabeling|VertexLabels|VertexLabelStyle|VertexNormals|VertexRenderingFunction|VertexShape|VertexShapeFunction|VertexSize|VertexStyle|VertexTextureCoordinates|VertexWeight|ViewAngle|ViewCenter|ViewMatrix|ViewPoint|ViewProjection|ViewRange|ViewVector|ViewVertical|Visible|WaveletScale|Weights|WhitePoint|WindowClickSelect|WindowElements|WindowFloating|WindowFrame|WindowFrameElements|WindowMargins|WindowMovable|WindowOpacity|WindowSize|WindowStatusArea|WindowTitle|WindowToolbars|WordOrientation|WordSearch|WordSelectionFunction|WordSeparators|WordSpacings|WorkingPrecision|WrapAround|ZeroTest|ZeroWidthTimes|ZoomCenter|ZoomFactor + built_in_constants: Above|After|AlgebraicRulesData|Algebraics|All|Anonymous|Automatic|Axis|Back|Backward|Baseline|BayesianMinimization|Before|Below|Black|Blank|BlankForm|BlankNullSequence|BlankSequence|Blue|Bold|Booleans|Bottom|Brown|Byte|Catalan|CellStyle|Center|Character|CloudObjectInformation|Complex|Complexes|ComplexInfinity|Connect|Constant|ConvertToPostScriptPacket|Cyan|Dashed|DavisDistribution|Decimal|DefaultAxesStyle|DefaultBaseStyle|DefaultBoxStyle|DefaultFaceGridsStyle|DefaultFieldHintStyle|DefaultFrameStyle|DefaultFrameTicksStyle|DefaultGridLinesStyle|DefaultLabelStyle|DefaultMenuStyle|DefaultTicksStyle|DefaultTooltipStyle|Degree|Delimiter|DigitCharacter|DocumentGeneratorInformation|DocumentGenerators|DotDashed|Dotted|DragAndDrop|E|EndOfBuffer|EndOfFile|EndOfLine|EndOfString|EulerGamma|Expression|False|Flat|FontProperties|Forward|ForwardBackward|Friday|Front|FrontEndDynamicExpression|Full|General|Generic|Glaisher|GoldenAngle|GoldenRatio|Gray|Green|Here|HexadecimalCharacter|HoldAll|HoldAllComplete|HoldFirst|HoldRest|HorizontalForm|I|Indeterminate|Inequality|Infinity|Inherited|InputToBoxFormPacket|Integer|Integers|InterpretTemplate|Italic|K|Khinchin|Large|Larger|Launch|Left|LetterCharacter|LightBlue|LightBrown|LightCyan|LightGray|LightGreen|LightMagenta|LightOrange|LightPink|LightPurple|LightRed|LightYellow|LinkOpen|LinkService|Listable|Listen|Locked|LongestMatch|Loopback|MachinePrecision|Magenta|Manual|MatchLocalNameQ|Medium|MeshCellCentroid|MeshCellMeasure|MeshCellQuality|Modular|Monday|NHoldAll|NHoldFirst|NHoldRest|NonAssociative|None|Nothing|Now|NoWhitespace|Null|Number|NumberString|NumericFunction|OneIdentity|Orange|Orderless|OutputMathEditExpression|ParentForm|Pi|Pink|Plain|Primes|Protected|PunctuationCharacter|Purple|Rational|Rationals|RawMedium|ReadProtected|Real|Reals|Record|Red|RepeatedString|ReturnInputFormPacket|Right|RuleCondition|RuleForm|Saturday|ScheduledTaskInformation|SequenceHold|Slot|Small|Smaller|Socket|SpanFromAbove|SpanFromBoth|SpanFromLeft|StartOfLine|StartOfString|String|Stub|Sunday|Temporary|Thick|Thin|ThisLink|Thursday|Tiny|Today|Tomorrow|TooBig|Top|Transparent|True|Tuesday|Undefined|Underlined|URLFetch|URLFetchAsynchronous|URLSave|URLSaveAsynchronous|ValueForm|VerticalForm|Wednesday|White|Whitespace|WhitespaceCharacter|Word|WordBoundary|WordCharacter|Yellow|Yesterday|\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\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ettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowDataUpdates|\$AllowDocumentationUpdates|\$AllowExternalChannelFunctions|\$AllowInternet|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BasePacletsDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$devTextSearchOutput|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InternetProxyRules|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$NumberOfExtraPages|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$PacletSite|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserBasePacletsDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID + built_in_numeric_constants: Catalan|Degree|E|EulerGamma|Glaisher|GoldenAngle|GoldenRatio|I|Khinchin|MachinePrecision|Pi + functional_first_param: ActiveClassification|ActivePrediction|Apply|ApplySides|Array|ArrayFilter|AssociationMap|AsymptoticEqual|AsymptoticEquivalent|AsymptoticGreater|AsymptoticGreaterEqual|AsymptoticIntegrate|AsymptoticLess|AsymptoticLessEqual|AudioBlockMap|AudioSpectralMap|AudioSpectralTransformation|BayesianMaximization|BlockMap|Construct|Convolve|CountRoots|Curry|D|Default|DefaultValues|DensityPlot|DensityPlot3D|DifferenceDelta|DifferenceQuotient|DirichletConvolve|DiscreteConvolve|DiscreteRatio|DiscreteShift|DownValues|Dt|ExpectedValue|FileSystemMap|FileSystemScan|FixedPoint|FixedPointList|Fold|FoldList|FoldPair|FoldPairList|FormatValues|Grad|ImageApply|ImageApplyIndexed|ImageFileApply|ImageFileFilter|ImageFileScan|ImageFilter|ImageScan|Inactive|Inner|Integrate|InverseFunction|KeyMap|KeyValueMap|Laplacian|Map|MapAll|MapAt|MapIndexed|MapThread|MatrixFunction|MellinConvolve|MovingMap|Nest|NestGraph|NestList|NestWhile|NestWhileList|NIntegrate|NProduct|NSum|NValues|Outer|ParallelArray|ParallelCombine|ParallelMap|ParallelTry|Play|Product|RelationGraph|RootSum|SampledSoundFunction|Scan|SequenceFold|SequenceFoldList|Series|SliceContourPlot3D|SliceDensityPlot3D|SubValues|Sum|SumConvergence|SymmetricReduction|SyntaxInformation|ThreadingLayer|TimeSeriesMap|TimeSeriesMapThread|TimeSeriesThread|TraceScan|TransferFunctionTransform|UpValues|WaveletMapIndexed + functional_last_param: CheckAll|CountDistinctBy|CountsBy|CreateManagedLibraryExpression|DeleteDuplicatesBy|FirstPassageTimeDistribution|KeySelect|KeySortBy|LengthWhile|Merge|PeriodicBoundaryCondition|SortBy|TakeWhile|TransformedRegion + parametic_last_param: ArcLength|Area|ContinuedFractionK|ContourPlot|ContourPlot3D|DensityPlot|DensityPlot3D|DSolve|DSolveValue|FunctionInterpolation|Integrate|LineIntegralConvolutionPlot|LogLinearPlot|LogLogPlot|LogPlot|NDSolve|NDSolveValue|NIntegrate|NumberLinePlot|OutputResponse|ParametricNDSolveValue|ParametricPlot|ParametricPlot3D|Perimeter|Play|Plot|Plot3D|RegionPlot|RegionPlot3D|RevolutionPlot3D|RootLocusPlot|SliceContourPlot3D|SliceDensityPlot3D|SliceVectorPlot3D|StateResponse|StreamDensityPlot|StreamPlot|VectorDensityPlot|VectorPlot|VectorPlot3D|Volume named_characters: AAcute|ABar|ACup|ADoubleDot|AE|AGrave|AHat|Aleph|AliasDelimiter|AliasIndicator|AlignmentMarker|Alpha|AltKey|And|Angle|Angstrom|AquariusSign|AriesSign|ARing|AscendingEllipsis|ATilde|AutoLeftMatch|AutoOperand|AutoPlaceholder|AutoRightMatch|AutoSpace|Backslash|BeamedEighthNote|BeamedSixteenthNote|Because|Bet|Beta|BlackBishop|BlackKing|BlackKnight|BlackPawn|BlackQueen|BlackRook|Breve|Bullet|CAcute|CancerSign|Cap|CapitalAAcute|CapitalABar|CapitalACup|CapitalADoubleDot|CapitalAE|CapitalAGrave|CapitalAHat|CapitalAlpha|CapitalARing|CapitalATilde|CapitalBeta|CapitalCAcute|CapitalCCedilla|CapitalCHacek|CapitalChi|CapitalDelta|CapitalDHacek|CapitalDifferentialD|CapitalDigamma|CapitalEAcute|CapitalEBar|CapitalECup|CapitalEDoubleDot|CapitalEGrave|CapitalEHacek|CapitalEHat|CapitalEpsilon|CapitalEta|CapitalEth|CapitalGamma|CapitalIAcute|CapitalICup|CapitalIDoubleDot|CapitalIGrave|CapitalIHat|CapitalIota|CapitalKappa|CapitalKoppa|CapitalLambda|CapitalLSlash|CapitalMu|CapitalNHacek|CapitalNTilde|CapitalNu|CapitalOAcute|CapitalODoubleAcute|CapitalODoubleDot|CapitalOE|CapitalOGrave|CapitalOHat|CapitalOmega|CapitalOmicron|CapitalOSlash|CapitalOTilde|CapitalPhi|CapitalPi|CapitalPsi|CapitalRHacek|CapitalRho|CapitalSampi|CapitalSHacek|CapitalSigma|CapitalStigma|CapitalTau|CapitalTHacek|CapitalTheta|CapitalThorn|CapitalUAcute|CapitalUDoubleAcute|CapitalUDoubleDot|CapitalUGrave|CapitalUHat|CapitalUpsilon|CapitalURing|CapitalXi|CapitalYAcute|CapitalZeta|CapitalZHacek|CapricornSign|CCedilla|Cedilla|CenterDot|CenterEllipsis|Cent|CHacek|CheckedBox|Checkmark|Chi|CircleDot|CircleMinus|CirclePlus|CircleTimes|ClockwiseContourIntegral|CloseCurlyDoubleQuote|CloseCurlyQuote|CloverLeaf|ClubSuit|Colon|CommandKey|Conditioned|Congruent|Conjugate|ConjugateTranspose|ConstantC|Continuation|ContourIntegral|ControlKey|Coproduct|Copyright|CounterClockwiseContourIntegral|Cross|CupCap|Cup|CurlyCapitalUpsilon|CurlyEpsilon|CurlyKappa|CurlyPhi|CurlyPi|CurlyRho|CurlyTheta|Currency|Dagger|Dalet|Dash|Degree|DeleteKey|Del|Delta|DescendingEllipsis|DHacek|Diameter|Diamond|DiamondSuit|DifferenceDelta|DifferentialD|Digamma|DirectedEdge|DiscreteRatio|DiscreteShift|DiscretionaryHyphen|DiscretionaryLineSeparator|DiscretionaryPageBreakAbove|DiscretionaryPageBreakBelow|DiscretionaryParagraphSeparator|Distributed|Divides|Divide|DotEqual|DotlessI|DotlessJ|DottedSquare|DoubleContourIntegral|DoubleDagger|DoubledGamma|DoubleDot|DoubleDownArrow|DoubledPi|DoubleLeftArrow|DoubleLeftRightArrow|DoubleLeftTee|DoubleLongLeftArrow|DoubleLongLeftRightArrow|DoubleLongRightArrow|DoublePrime|DoubleRightArrow|DoubleRightTee|DoubleStruckA|DoubleStruckB|DoubleStruckC|DoubleStruckCapitalA|DoubleStruckCapitalB|DoubleStruckCapitalC|DoubleStruckCapitalD|DoubleStruckCapitalE|DoubleStruckCapitalF|DoubleStruckCapitalG|DoubleStruckCapitalH|DoubleStruckCapitalI|DoubleStruckCapitalJ|DoubleStruckCapitalK|DoubleStruckCapitalL|DoubleStruckCapitalM|DoubleStruckCapitalN|DoubleStruckCapitalO|DoubleStruckCapitalP|DoubleStruckCapitalQ|DoubleStruckCapitalR|DoubleStruckCapitalS|DoubleStruckCapitalT|DoubleStruckCapitalU|DoubleStruckCapitalV|DoubleStruckCapitalW|DoubleStruckCapitalX|DoubleStruckCapitalY|DoubleStruckCapitalZ|DoubleStruckD|DoubleStruckE|DoubleStruckEight|DoubleStruckF|DoubleStruckFive|DoubleStruckFour|DoubleStruckG|DoubleStruckH|DoubleStruckI|DoubleStruckJ|DoubleStruckK|DoubleStruckL|DoubleStruckM|DoubleStruckN|DoubleStruckNine|DoubleStruckO|DoubleStruckOne|DoubleStruckP|DoubleStruckQ|DoubleStruckR|DoubleStruckS|DoubleStruckSeven|DoubleStruckSix|DoubleStruckT|DoubleStruckThree|DoubleStruckTwo|DoubleStruckU|DoubleStruckV|DoubleStruckW|DoubleStruckX|DoubleStruckY|DoubleStruckZ|DoubleStruckZero|DoubleUpArrow|DoubleUpDownArrow|DoubleVerticalBar|DownArrowBar|DownArrow|DownArrowUpArrow|DownBreve|DownExclamation|DownLeftRightVector|DownLeftTeeVector|DownLeftVector|DownLeftVectorBar|DownPointer|DownQuestion|DownRightTeeVector|DownRightVector|DownRightVectorBar|DownTeeArrow|DownTee|EAcute|Earth|EBar|ECup|EDoubleDot|EGrave|EHacek|EHat|EighthNote|Element|Ellipsis|EmptyCircle|EmptyDiamond|EmptyDownTriangle|EmptyRectangle|EmptySet|EmptySmallCircle|EmptySmallSquare|EmptySquare|EmptyUpTriangle|EmptyVerySmallSquare|EnterKey|EntityEnd|EntityStart|Epsilon|Equal|EqualTilde|Equilibrium|Equivalent|ErrorIndicator|EscapeKey|Eta|Eth|Euro|Exists|ExponentialE|FiLigature|FilledCircle|FilledDiamond|FilledDownTriangle|FilledLeftTriangle|FilledRectangle|FilledRightTriangle|FilledSmallCircle|FilledSmallSquare|FilledSquare|FilledUpTriangle|FilledVerySmallSquare|FinalSigma|FirstPage|FivePointedStar|Flat|FlLigature|Florin|ForAll|FormalA|FormalAlpha|FormalB|FormalBeta|FormalC|FormalCapitalA|FormalCapitalAlpha|FormalCapitalB|FormalCapitalBeta|FormalCapitalC|FormalCapitalChi|FormalCapitalD|FormalCapitalDelta|FormalCapitalDigamma|FormalCapitalE|FormalCapitalEpsilon|FormalCapitalEta|FormalCapitalF|FormalCapitalG|FormalCapitalGamma|FormalCapitalH|FormalCapitalI|FormalCapitalIota|FormalCapitalJ|FormalCapitalK|FormalCapitalKappa|FormalCapitalKoppa|FormalCapitalL|FormalCapitalLambda|FormalCapitalM|FormalCapitalMu|FormalCapitalN|FormalCapitalNu|FormalCapitalO|FormalCapitalOmega|FormalCapitalOmicron|FormalCapitalP|FormalCapitalPhi|FormalCapitalPi|FormalCapitalPsi|FormalCapitalQ|FormalCapitalR|FormalCapitalRho|FormalCapitalS|FormalCapitalSampi|FormalCapitalSigma|FormalCapitalStigma|FormalCapitalT|FormalCapitalTau|FormalCapitalTheta|FormalCapitalU|FormalCapitalUpsilon|FormalCapitalV|FormalCapitalW|FormalCapitalX|FormalCapitalXi|FormalCapitalY|FormalCapitalZ|FormalCapitalZeta|FormalChi|FormalCurlyCapitalUpsilon|FormalCurlyEpsilon|FormalCurlyKappa|FormalCurlyPhi|FormalCurlyPi|FormalCurlyRho|FormalCurlyTheta|FormalD|FormalDelta|FormalDigamma|FormalE|FormalEpsilon|FormalEta|FormalF|FormalFinalSigma|FormalG|FormalGamma|FormalH|FormalI|FormalIota|FormalJ|FormalK|FormalKappa|FormalKoppa|FormalL|FormalLambda|FormalM|FormalMu|FormalN|FormalNu|FormalO|FormalOmega|FormalOmicron|FormalP|FormalPhi|FormalPi|FormalPsi|FormalQ|FormalR|FormalRho|FormalS|FormalSampi|FormalSigma|FormalStigma|FormalT|FormalTau|FormalTheta|FormalU|FormalUpsilon|FormalV|FormalW|FormalX|FormalXi|FormalY|FormalZ|FormalZeta|FreakedSmiley|Function|Gamma|GeminiSign|Gimel|GothicA|GothicB|GothicC|GothicCapitalA|GothicCapitalB|GothicCapitalC|GothicCapitalD|GothicCapitalE|GothicCapitalF|GothicCapitalG|GothicCapitalH|GothicCapitalI|GothicCapitalJ|GothicCapitalK|GothicCapitalL|GothicCapitalM|GothicCapitalN|GothicCapitalO|GothicCapitalP|GothicCapitalQ|GothicCapitalR|GothicCapitalS|GothicCapitalT|GothicCapitalU|GothicCapitalV|GothicCapitalW|GothicCapitalX|GothicCapitalY|GothicCapitalZ|GothicD|GothicE|GothicEight|GothicF|GothicFive|GothicFour|GothicG|GothicH|GothicI|GothicJ|GothicK|GothicL|GothicM|GothicN|GothicNine|GothicO|GothicOne|GothicP|GothicQ|GothicR|GothicS|GothicSeven|GothicSix|GothicT|GothicThree|GothicTwo|GothicU|GothicV|GothicW|GothicX|GothicY|GothicZ|GothicZero|GrayCircle|GraySquare|GreaterEqualLess|GreaterEqual|GreaterFullEqual|GreaterGreater|GreaterLess|GreaterSlantEqual|GreaterTilde|Hacek|HappySmiley|HBar|HeartSuit|HermitianConjugate|HorizontalLine|HumpDownHump|HumpEqual|Hyphen|IAcute|ICup|IDoubleDot|IGrave|IHat|ImaginaryI|ImaginaryJ|ImplicitPlus|Implies|IndentingNewLine|Infinity|Integral|Intersection|InvisibleApplication|InvisibleComma|InvisiblePostfixScriptBase|InvisiblePrefixScriptBase|InvisibleSpace|InvisibleTimes|Iota|Jupiter|Kappa|KernelIcon|Koppa|Lambda|LastPage|LeftAngleBracket|LeftArrowBar|LeftArrow|LeftArrowRightArrow|LeftAssociation|LeftBracketingBar|LeftCeiling|LeftDoubleBracket|LeftDoubleBracketingBar|LeftDownTeeVector|LeftDownVectorBar|LeftDownVector|LeftFloor|LeftGuillemet|LeftModified|LeftPointer|LeftRightArrow|LeftRightVector|LeftSkeleton|LeftTee|LeftTeeArrow|LeftTeeVector|LeftTriangle|LeftTriangleBar|LeftTriangleEqual|LeftUpDownVector|LeftUpTeeVector|LeftUpVector|LeftUpVectorBar|LeftVector|LeftVectorBar|LeoSign|LessEqual|LessEqualGreater|LessFullEqual|LessGreater|LessLess|LessSlantEqual|LessTilde|LetterSpace|LibraSign|LightBulb|LineSeparator|LongDash|LongEqual|LongLeftArrow|LongLeftRightArrow|LongRightArrow|LowerLeftArrow|LowerRightArrow|LSlash|Mars|MathematicaIcon|MeasuredAngle|MediumSpace|Mercury|Mho|Micro|MinusPlus|Mu|Nand|Natural|NegativeMediumSpace|NegativeThickSpace|NegativeThinSpace|NegativeVeryThinSpace|Neptune|NestedGreaterGreater|NestedLessLess|NeutralSmiley|NewLine|NHacek|NoBreak|NonBreakingSpace|Nor|NotCongruent|NotCupCap|NotDoubleVerticalBar|NotElement|NotEqual|NotEqualTilde|NotExists|NotGreater|NotGreaterEqual|NotGreaterFullEqual|NotGreaterGreater|NotGreaterLess|NotGreaterSlantEqual|NotGreaterTilde|NotHumpDownHump|NotHumpEqual|NotLeftTriangle|NotLeftTriangleBar|NotLeftTriangleEqual|NotLessEqual|NotLessFullEqual|NotLessGreater|NotLess|NotLessLess|NotLessSlantEqual|NotLessTilde|Not|NotNestedGreaterGreater|NotNestedLessLess|NotPrecedes|NotPrecedesEqual|NotPrecedesSlantEqual|NotPrecedesTilde|NotReverseElement|NotRightTriangle|NotRightTriangleBar|NotRightTriangleEqual|NotSquareSubset|NotSquareSubsetEqual|NotSquareSuperset|NotSquareSupersetEqual|NotSubset|NotSubsetEqual|NotSucceeds|NotSucceedsEqual|NotSucceedsSlantEqual|NotSucceedsTilde|NotSuperset|NotSupersetEqual|NotTilde|NotTildeEqual|NotTildeFullEqual|NotTildeTilde|NotVerticalBar|NTilde|Nu|Null|NumberSign|OAcute|ODoubleAcute|ODoubleDot|OE|OGrave|OHat|Omega|Omicron|OpenCurlyDoubleQuote|OpenCurlyQuote|OptionKey|Or|OSlash|OTilde|OverBrace|OverBracket|OverParenthesis|Paragraph|ParagraphSeparator|PartialD|PermutationProduct|Phi|Pi|Piecewise|PiscesSign|Placeholder|PlusMinus|Pluto|Precedes|PrecedesEqual|PrecedesSlantEqual|PrecedesTilde|Prime|Product|Proportion|Proportional|Psi|QuarterNote|RawAmpersand|RawAt|RawBackquote|RawBackslash|RawColon|RawComma|RawDash|RawDollar|RawDot|RawDoubleQuote|RawEqual|RawEscape|RawExclamation|RawGreater|RawLeftBrace|RawLeftBracket|RawLeftParenthesis|RawLess|RawNumberSign|RawPercent|RawPlus|RawQuestion|RawQuote|RawReturn|RawRightBrace|RawRightBracket|RawRightParenthesis|RawSemicolon|RawSlash|RawSpace|RawStar|RawTab|RawTilde|RawUnderscore|RawVerticalBar|RawWedge|RegisteredTrademark|ReturnIndicator|ReturnKey|ReverseDoublePrime|ReverseElement|ReverseEquilibrium|ReversePrime|ReverseUpEquilibrium|RHacek|Rho|RightAngle|RightAngleBracket|RightArrow|RightArrowBar|RightArrowLeftArrow|RightAssociation|RightBracketingBar|RightCeiling|RightDoubleBracket|RightDoubleBracketingBar|RightDownTeeVector|RightDownVector|RightDownVectorBar|RightFloor|RightGuillemet|RightModified|RightPointer|RightSkeleton|RightTee|RightTeeArrow|RightTeeVector|RightTriangle|RightTriangleBar|RightTriangleEqual|RightUpDownVector|RightUpTeeVector|RightUpVector|RightUpVectorBar|RightVector|RightVectorBar|RoundImplies|RoundSpaceIndicator|Rule|RuleDelayed|SadSmiley|SagittariusSign|Sampi|Saturn|ScorpioSign|ScriptA|ScriptB|ScriptC|ScriptCapitalA|ScriptCapitalB|ScriptCapitalC|ScriptCapitalD|ScriptCapitalE|ScriptCapitalF|ScriptCapitalG|ScriptCapitalH|ScriptCapitalI|ScriptCapitalJ|ScriptCapitalK|ScriptCapitalL|ScriptCapitalM|ScriptCapitalN|ScriptCapitalO|ScriptCapitalP|ScriptCapitalQ|ScriptCapitalR|ScriptCapitalS|ScriptCapitalT|ScriptCapitalU|ScriptCapitalV|ScriptCapitalW|ScriptCapitalX|ScriptCapitalY|ScriptCapitalZ|ScriptD|ScriptDotlessI|ScriptDotlessJ|ScriptE|ScriptEight|ScriptF|ScriptFive|ScriptFour|ScriptG|ScriptH|ScriptI|ScriptJ|ScriptK|ScriptL|ScriptM|ScriptN|ScriptNine|ScriptO|ScriptOne|ScriptP|ScriptQ|ScriptR|ScriptS|ScriptSeven|ScriptSix|ScriptT|ScriptThree|ScriptTwo|ScriptU|ScriptV|ScriptW|ScriptX|ScriptY|ScriptZ|ScriptZero|Section|SelectionPlaceholder|SHacek|Sharp|ShortDownArrow|ShortLeftArrow|ShortRightArrow|ShortUpArrow|Sigma|SixPointedStar|SkeletonIndicator|SmallCircle|SpaceIndicator|SpaceKey|SpadeSuit|SpanFromAbove|SpanFromBoth|SpanFromLeft|SphericalAngle|Sqrt|Square|SquareIntersection|SquareSubset|SquareSubsetEqual|SquareSuperset|SquareSupersetEqual|SquareUnion|Star|Sterling|Stigma|Subset|SubsetEqual|Succeeds|SucceedsEqual|SucceedsSlantEqual|SucceedsTilde|SuchThat|Sum|Superset|SupersetEqual|SystemEnterKey|SystemsModelDelay|SZ|TabKey|Tau|TaurusSign|TensorProduct|TensorWedge|THacek|Therefore|Theta|ThickSpace|ThinSpace|Thorn|Tilde|TildeEqual|TildeFullEqual|TildeTilde|Times|Trademark|Transpose|TripleDot|UAcute|UDoubleAcute|UDoubleDot|UGrave|UHat|UnderBrace|UnderBracket|UnderParenthesis|UndirectedEdge|Union|UnionPlus|UpArrow|UpArrowBar|UpArrowDownArrow|UpDownArrow|UpEquilibrium|UpperLeftArrow|UpperRightArrow|UpPointer|Upsilon|UpTee|UpTeeArrow|Uranus|URing|Vee|Venus|VerticalBar|VerticalEllipsis|VerticalLine|VerticalSeparator|VerticalTilde|VeryThinSpace|VirgoSign|WarningSign|WatchIcon|Wedge|WeierstrassP|WhiteBishop|WhiteKing|WhiteKnight|WhitePawn|WhiteQueen|WhiteRook|Wolf|WolframLanguageLogo|WolframLanguageLogoCircle|Xi|Xnor|Xor|YAcute|YDoubleDot|Yen|Zeta|ZHacek nb_code_styles: (Input) @@ -94,11 +76,11 @@ contexts: literals: - match: (?:\d+\.?|\.\d)\d*\`{0,2} scope: constant.numeric.wolfram - - match: ((?:System`)?{{built_in_numeric_constants}}) + - match: (?:System`)?\b({{built_in_numeric_constants}})\b scope: constant.numeric.wolfram - - match: ((?:System`)?{{built_in_constants}}) + - match: (?:System`)?\b({{built_in_constants}})\b scope: constant.language.wolfram - - match: ((?:System`)?{{built_in_options}}) + - match: (?:System`)?\b({{built_in_options}})\b scope: variable.function.wolfram - match: \" scope: punctuation.definition.string.begin.wolfram @@ -207,7 +189,7 @@ contexts: scope: variable.function.wolfram variable: - - match: '(?:System`)?({{built_in_functions}})' + - match: '(?:System`)?\b({{built_in_functions}})\b' scope: variable.function.wolfram - match: '{{identifier}}' scope: variable.other.wolfram diff --git a/build/classify.wl b/build/classify.wl index a9348a3..d7969bc 100644 --- a/build/classify.wl +++ b/build/classify.wl @@ -1,57 +1,101 @@ (* ::Package:: *) << (NotebookDirectory[] <> "wldata.mx"); +<< (NotebookDirectory[] <> "utilities.wl"); -toJSON[expression_, indent_: 2] := StringReplace[ - JSONTools`ToJSON[expression], - StartOfLine ~~ whitespace: " ".. :> StringTake[whitespace, StringLength @ whitespace / 4 * indent] -]; +(* ::Subsubsection::Closed:: *) +(*Usages*) + + +Export[util`resolveFileName["usages.json"], wl`usageDictionary]; -resolveFileName[filename_] := FileNameJoin[{NotebookDirectory[], filename}] -readFile[filename_] := Import[resolveFileName[filename], "String"]; -writeFile[filename_, content_] := Export[resolveFileName[filename], content, "String"]; +(* ::Subsubsection::Closed:: *) +(*Completions*) -writeFile["../completions.sublime-completions", toJSON[{ +util`writeFile["../completions.sublime-completions", util`toJSON[{ "scope" -> "source.wolfram", "completions" -> Sort[StringReplace[StartOfString ~~ "$" -> ""] /@ wl`namespace] }]]; -classificationRules = <| - "functions" -> (StringStartsQ["\!\(\*RowBox"]), - "options" -> (StringContainsQ[RegularExpression["is an? (\\w+ )?option"]]), - "constants" -> (True &) -|>; -classifiedNamespace = Last @ Reap[ - Function[rule, Sow[ - Keys[rule], +(* ::Subsubsection:: *) +(*Syntaxes*) + + +classify[usages_, rules_] := Last @ Reap[ + Function[usage, Sow[ + Keys[usage], Piecewise[KeyValueMap[ - {#1, #2[Values[rule]]}&, - classificationRules + {#1, #2[Values[usage]]}&, + rules ]] - ]] /@ wl`usageDictionary, - _, + ]] /@ usages, + _String, Rule -]; -replacement[prefixes_, symbols_] := RuleDelayed[ - prefix: StringExpression @@ Riffle[prefixes, Whitespace, {2, -1, 2}] ~~ (WordCharacter | "$" | "|").., - prefix <> StringRiffle[StringReplace["$" -> "\\$"] /@ symbols, "|"] -] +] // (AssociateTo[$dataset, #]; #)&; + + +$dataset = <|"named_characters" -> wl`namedCharacters|>; + + +classifiedNamespace = classify[wl`usageDictionary, <| + "built_in_functions" -> StringStartsQ["\!\(\*RowBox[{"], + "built_in_options" -> StringContainsQ[RegularExpression["is an? (\\w+ )?option"]], + "built_in_constants" -> (True &) +|>]; + +getLines[name_] := Select[StringStartsQ[ + "\!\(\*RowBox[{" ~~ Repeated["\"", {0, 1}] ~~ name +]] @ StringCases[RegularExpression["(\!\(\*([^\)]+)\)|.)+"]] @ (name /. wl`usageDictionary); + +getArguments[usage_] := usage // + StringCases[#, RegularExpression["\!\(\*([^\)]+)\)"] -> "$1", 1]& + First // + ToExpression // + util`getAtomic[{1}] // + If[Length @ # <= 3, {}, getAtomic[#, {3, 1}]]& // + If[Head @ # === List, getAtomic[{1}] /@ Take[#, {1, -1, 2}], {#}]&; + +functionArguments = util`ruleMap[getArguments /@ getLines[#]&, "built_in_functions" /. classifiedNamespace]; + + +testAll[crit_, sel_: Identity] := Length[#] > 0 && AllTrue[#, Length[#] > 0 && crit[sel[#]] &] &; + + +isFunctional[arg_] := arg === "f" || arg === "crit"; + +classify[functionArguments, <| + "functional_rest_param" -> testAll[testAll[isFunctional], Rest], (* not found? *) + "functional_first_param" -> testAll[isFunctional, First], + "functional_last_param" -> testAll[isFunctional, Last] +|>]; + + +isParametic[list_] := With[{sym = list[[1]][[1]]}, + StringLength[sym] === 1 && + MatchQ[Take[list, {3, -1, 2}], { + SubscriptBox[StyleBox[sym, "TI"], StyleBox["min", "TI"]], + SubscriptBox[StyleBox[sym, "TI"], StyleBox["max", "TI"]] + }] +]; -writeFile["../WolframLanguage.sublime-syntax", StringReplace[ - readFile["../WolframLanguage.sublime-syntax"], - { - Sequence @@ (replacement[ - {"built_in_" ~~ # ~~ ": |-", "(?x)", "\\b(?:"}, - # /. classifiedNamespace - ]& /@ Keys @ classificationRules), - replacement[{"named_characters:"}, wl`namedCharacters] - } -]]; +classify[functionArguments, <| + "parametic_rest_param" -> (testAll[testAll[isParametic]] @ Cases[ + Cases[#, args_?(Length[#] > 0 &) :> Last[args]], + args: {{"{", RowBox[{StyleBox[_String, "TI"], __}], "}"}..} :> (#[[2]][[1]] & /@ args) + ] &), + "parametic_last_param" -> (testAll[isParametic] @ Cases[ + Cases[#, args_?(Length[#] > 0 &) :> Last[args]], + {"{", RowBox[list: {StyleBox[_String, "TI"], __}], "}"} :> list + ] &) +|>]; -Export[resolveFileName["usages.json"], wl`usageDictionary]; +util`replaceFile["../WolframLanguage.sublime-syntax", KeyValueMap[RuleDelayed[ + prefix: (#1 <> ":" ~~ Whitespace) ~~ (WordCharacter | "$" | "|").., + prefix <> StringRiffle[StringReplace["$" -> "\\$"] /@ #2, "|"] +]&, $dataset]]; diff --git a/build/namespace.wl b/build/symbols.wl similarity index 85% rename from build/namespace.wl rename to build/symbols.wl index 8b4cb22..16bfb21 100644 --- a/build/namespace.wl +++ b/build/symbols.wl @@ -1,5 +1,8 @@ (* ::Package:: *) +<< (NotebookDirectory[] <> "utilities.wl"); + + Begin["wl`"]; @@ -20,12 +23,6 @@ usageDictionary = Select[usages, Head[Values[#]] === String &]; usageAbsentSymbols = Keys @ Select[usages, Head[Values[#]] =!= String &]; -getAtomic[expr_, orders_List] := If[Length @ orders == 0, - expr, - getAtomic[Level[expr, 1][[orders[[1]]]], Rest @ orders] -]; - - namedCharacters = StringTake[getAtomic[#, {1, 1, -1, 1}], {3, -2}]& /@ Import[FileNameJoin[{ $InstallationDirectory, "Documentation", diff --git a/build/utilities.wl b/build/utilities.wl new file mode 100644 index 0000000..c409a1d --- /dev/null +++ b/build/utilities.wl @@ -0,0 +1,31 @@ +(* ::Package:: *) + +Begin["util`"]; + +getAtomic[orders_List] := If[Length @ orders == 0 || Length @ # == 0, + #2, + getAtomic[Rest @ orders][#[[First @ orders]]] +]&[Level[#, 1], #]&; +getAtomic[expr_, orders_List] := getAtomic[orders][expr]; + +ruleMap[func_, list_] := With[{size = Length @ list}, + Monitor[ + Quiet[Table[ + list[[i]] -> func[list[[i]]], + {i, size} + ]], + ProgressIndicator[i / size] + ] +]; + +resolveFileName[filename_] := FileNameJoin[{NotebookDirectory[], filename}] +readFile[filename_] := Import[resolveFileName[filename], "String"]; +writeFile[filename_, content_] := Export[resolveFileName[filename], content, "String"]; +replaceFile[filename_, rules_] := writeFile[filename, StringReplace[readFile[filename], rules]]; + +toJSON[expression_, indent_: 2] := StringReplace[ + JSONTools`ToJSON[expression], + StartOfLine ~~ whitespace: " ".. :> StringTake[whitespace, StringLength @ whitespace / 4 * indent] +]; + +End[]; From 0ffd97f88b778158ec92704c22f1cfb395581fcf Mon Sep 17 00:00:00 2001 From: Shigma <1700011071@pku.edu.cn> Date: Sat, 17 Nov 2018 01:47:47 +0800 Subject: [PATCH 6/7] add some adjustments --- Completions.sublime-completions | 3 +- WolframLanguage.sublime-syntax | 12 +- build/classify.wl | 92 +- build/symbols.wl | 39 +- build/usages.json | 5552 ------------------------------- build/utilities.wl | 22 +- 6 files changed, 77 insertions(+), 5643 deletions(-) delete mode 100644 build/usages.json diff --git a/Completions.sublime-completions b/Completions.sublime-completions index da2328c..21261d9 100644 --- a/Completions.sublime-completions +++ b/Completions.sublime-completions @@ -1123,7 +1123,6 @@ "CreatePalette", "CreatePalettePacket", "CreatePermissionsGroup", - "CreateResourceFunction", "CreateScheduledTask", "CreateSearchIndex", "CreateSystemModel", @@ -1297,6 +1296,7 @@ "DefineExternal", "DefineInputStreamMethod", "DefineOutputStreamMethod", + "DefineResourceFunction", "Definition", "Degree", "DegreeCentrality", @@ -4679,7 +4679,6 @@ "ResourceAcquire", "ResourceData", "ResourceFunction", - "ResourceFunctionInformation", "ResourceObject", "ResourceRegister", "ResourceRemove", diff --git a/WolframLanguage.sublime-syntax b/WolframLanguage.sublime-syntax index dc06597..0f8636d 100644 --- a/WolframLanguage.sublime-syntax +++ b/WolframLanguage.sublime-syntax @@ -21,11 +21,12 @@ scope: source.wolfram variables: symbol: '[$[:alpha:]]+[$[:alnum:]]*' identifier: (?:{{symbol}}`)*({{symbol}}) + numeric_constants: Catalan|Degree|E|EulerGamma|Glaisher|GoldenAngle|GoldenRatio|I|Khinchin|MachinePrecision|Pi + # generated by build/classify.wl built_in_functions: AASTriangle|AbelianGroup|Abort|AbortKernels|AbortProtect|AbortScheduledTask|Abs|AbsArg|AbsoluteCorrelation|AbsoluteCorrelationFunction|AbsoluteCurrentValue|AbsoluteDashing|AbsoluteFileName|AbsoluteOptions|AbsolutePointSize|AbsoluteThickness|AbsoluteTime|AbsoluteTiming|AccountingForm|Accumulate|Accuracy|ActionMenu|ActionMenuBoxOptions|Activate|ActiveClassification|ActiveClassificationObject|ActivePrediction|ActivePredictionObject|AcyclicGraphQ|AddSides|AddTo|AddUsers|AdjacencyGraph|AdjacencyList|AdjacencyMatrix|AdjustmentBox|AdjustTimeSeriesForecast|AdministrativeDivisionData|AffineHalfSpace|AffineSpace|AffineStateSpaceModel|AffineTransform|AggregationLayer|AircraftData|AirportData|AirPressureData|AirTemperatureData|AiryAi|AiryAiPrime|AiryAiZero|AiryBi|AiryBiPrime|AiryBiZero|AlgebraicIntegerQ|AlgebraicNumber|AlgebraicNumberDenominator|AlgebraicNumberNorm|AlgebraicNumberPolynomial|AlgebraicNumberTrace|AlgebraicUnitQ|AllTrue|Alphabet|AlphabeticOrder|AlphabeticSort|AlphaChannel|AlternatingFactorial|AlternatingGroup|Alternatives|AmbiguityList|AnatomyData|AnatomyForm|AnatomyPlot3D|And|AndersonDarlingTest|AngerJ|AngleBracket|AnglePath|AnglePath3D|AngleVector|AngularGauge|Animate|Animator|AnimatorBoxOptions|Annotation|Annuity|AnnuityDue|Annulus|AntihermitianMatrixQ|Antisymmetric|AntisymmetricMatrixQ|AnyOrder|AnySubset|AnyTrue|Apart|ApartSquareFree|APIFunction|AppellF1|Append|AppendLayer|AppendTo|Apply|ApplySides|ArcCos|ArcCosh|ArcCot|ArcCoth|ArcCsc|ArcCsch|ArcCurvature|ARCHProcess|ArcLength|ArcSec|ArcSech|ArcSin|ArcSinDistribution|ArcSinh|ArcTan|ArcTanh|Area|Arg|ArgMax|ArgMin|ArgumentCountQ|ARIMAProcess|ArithmeticGeometricMean|ARMAProcess|ARProcess|Array|ArrayComponents|ArrayDepth|ArrayFilter|ArrayFlatten|ArrayMesh|ArrayPad|ArrayPlot|ArrayQ|ArrayResample|ArrayReshape|ArrayRules|Arrays|Arrow|Arrowheads|ASATriangle|Ask|AskAppend|AskConfirm|AskDisplay|AskedQ|AskedValue|AskFunction|AskState|AskTemplateDisplay|Assert|AssociateTo|Association|AssociationMap|AssociationQ|AssociationThread|Assuming|AstronomicalData|AsymptoticDSolveValue|AsymptoticEqual|AsymptoticEquivalent|AsymptoticGreater|AsymptoticGreaterEqual|AsymptoticIntegrate|AsymptoticLess|AsymptoticLessEqual|AsymptoticOutputTracker|AsynchronousTaskObject|AsynchronousTasks|AtomQ|Attributes|Audio|AudioAmplify|AudioBlockMap|AudioCapture|AudioChannelCombine|AudioChannelMix|AudioChannels|AudioChannelSeparate|AudioData|AudioDelay|AudioDelete|AudioDistance|AudioFade|AudioFrequencyShift|AudioGenerator|AudioInsert|AudioIntervals|AudioJoin|AudioLength|AudioLocalMeasurements|AudioLoudness|AudioMeasurements|AudioNormalize|AudioOverlay|AudioPad|AudioPan|AudioPartition|AudioPause|AudioPitchShift|AudioPlay|AudioPlot|AudioQ|AudioRecord|AudioReplace|AudioResample|AudioReverb|AudioSampleRate|AudioSpectralMap|AudioSpectralTransformation|AudioSplit|AudioStop|AudioStream|AudioStreams|AudioTimeStretch|AudioTrim|AudioType|AugmentedSymmetricPolynomial|AuthenticationDialog|Autocomplete|AutocompletionFunction|AutocorrelationTest|AutoRefreshed|AutoSubmitting|BabyMonsterGroupB|Backslash|Ball|Band|BandpassFilter|BandstopFilter|BarabasiAlbertGraphDistribution|BarChart|BarChart3D|BarcodeImage|BarcodeRecognize|BaringhausHenzeTest|BarLegend|BarlowProschanImportance|BarnesG|BartlettHannWindow|BartlettWindow|BaseDecode|BaseEncode|BaseForm|BasicRecurrentLayer|BatchNormalizationLayer|BatesDistribution|BattleLemarieWavelet|BayesianMaximization|BayesianMaximizationObject|BayesianMinimizationObject|Because|BeckmannDistribution|Beep|Begin|BeginDialogPacket|BeginPackage|BellB|BellY|BenfordDistribution|BeniniDistribution|BenktanderGibratDistribution|BenktanderWeibullDistribution|BernoulliB|BernoulliDistribution|BernoulliGraphDistribution|BernoulliProcess|BernsteinBasis|BesselFilterModel|BesselI|BesselJ|BesselJZero|BesselK|BesselY|BesselYZero|Beta|BetaBinomialDistribution|BetaDistribution|BetaNegativeBinomialDistribution|BetaPrimeDistribution|BetaRegularized|Between|BetweennessCentrality|BezierCurve|BezierCurve3DBoxOptions|BezierCurveBoxOptions|BezierFunction|BilateralFilter|Binarize|BinaryDeserialize|BinaryDistance|BinaryImageQ|BinaryRead|BinaryReadList|BinarySerialize|BinaryWrite|BinCounts|BinLists|Binomial|BinomialDistribution|BinomialProcess|BinormalDistribution|BiorthogonalSplineWavelet|BipartiteGraphQ|BiquadraticFilterModel|BirnbaumImportance|BirnbaumSaundersDistribution|BitAnd|BitClear|BitGet|BitLength|BitNot|BitOr|BitSet|BitShiftLeft|BitShiftRight|BitXor|BiweightLocation|BiweightMidvariance|BlackmanHarrisWindow|BlackmanNuttallWindow|BlackmanWindow|Blend|Block|BlockchainBlockData|BlockchainData|BlockchainGet|BlockchainPut|BlockchainTransactionData|BlockMap|BlockRandom|BlomqvistBeta|BlomqvistBetaTest|Blur|BodePlot|BohmanWindow|Boole|BooleanConsecutiveFunction|BooleanConvert|BooleanCountingFunction|BooleanFunction|BooleanGraph|BooleanMaxterms|BooleanMinimize|BooleanMinterms|BooleanQ|BooleanRegion|BooleanTable|BooleanVariables|BorderDimensions|BorelTannerDistribution|BottomHatTransform|BoundaryDiscretizeGraphics|BoundaryDiscretizeRegion|BoundaryMesh|BoundaryMeshRegion|BoundaryMeshRegionQ|BoundedRegionQ|BoundingRegion|BoxData|BoxMatrix|BoxObject|BoxWhiskerChart|BracketingBar|BrayCurtisDistance|BreadthFirstScan|Break|BridgeData|BrightnessEqualize|BroadcastStationData|BrownForsytheTest|BrownianBridgeProcess|BSplineBasis|BSplineCurve|BSplineCurve3DBoxOptions|BSplineCurveBoxOptions|BSplineFunction|BSplineSurface|BSplineSurface3DBoxOptions|BubbleChart|BubbleChart3D|BuildingData|BulletGauge|BusinessDayQ|ButterflyGraph|ButterworthFilterModel|Button|ButtonBar|ButtonBox|ButtonNotebook|ByteArray|ByteArrayQ|ByteArrayToString|ByteCount|C|CalendarConvert|CalendarData|Callout|CallPacket|CanberraDistance|Cancel|CancelButton|CandlestickChart|CanonicalGraph|CanonicalName|CanonicalWarpingCorrespondence|CanonicalWarpingDistance|CantorMesh|CantorStaircase|Cap|CapForm|CapitalDifferentialD|Capitalize|CapsuleShape|CarlemanLinearize|CarmichaelLambda|Cases|CaseSensitive|Cashflow|Casoratian|CatalanNumber|Catch|Catenate|CatenateLayer|CauchyDistribution|CauchyWindow|CayleyGraph|CDF|CDFDeploy|CDFInformation|CDFWavelet|Ceiling|Cell|CellGroup|CellGroupData|CellObject|CellPrint|Cells|CellularAutomaton|CensoredDistribution|Censoring|CenterArray|CenterDot|CentralFeature|CentralMoment|CentralMomentGeneratingFunction|Cepstrogram|CepstrogramArray|CepstrumArray|CForm|ChampernowneNumber|ChannelListen|ChannelListener|ChannelListeners|ChannelObject|ChannelReceiverFunction|ChannelSend|ChannelSubscribers|ChanVeseBinarize|CharacterCounts|CharacteristicFunction|CharacteristicPolynomial|CharacterName|CharacterRange|Characters|Chebyshev1FilterModel|Chebyshev2FilterModel|ChebyshevDistance|ChebyshevT|ChebyshevU|Check|CheckAbort|CheckAll|Checkbox|CheckboxBar|CheckboxBoxOptions|ChemicalData|ChessboardDistance|ChiDistribution|ChineseRemainder|ChiSquareDistribution|ChoiceButtons|ChoiceDialog|CholeskyDecomposition|Chop|ChromaticityPlot|ChromaticityPlot3D|ChromaticPolynomial|Circle|CircleDot|CircleMinus|CirclePlus|CirclePoints|CircleTimes|CirculantGraph|CircularOrthogonalMatrixDistribution|CircularQuaternionMatrixDistribution|CircularRealMatrixDistribution|CircularSymplecticMatrixDistribution|CircularUnitaryMatrixDistribution|Circumsphere|CityData|ClassifierFunction|ClassifierInformation|ClassifierMeasurements|ClassifierMeasurementsObject|Classify|Clear|ClearAll|ClearAttributes|ClearCookies|ClearPermissions|ClearSystemCache|ClebschGordan|ClickPane|Clip|Clock|ClockGauge|Close|CloseKernels|ClosenessCentrality|Closing|CloudAccountData|CloudConnect|CloudDeploy|CloudDirectory|CloudDisconnect|CloudEvaluate|CloudExport|CloudExpression|CloudExpressions|CloudFunction|CloudGet|CloudImport|CloudLoggingData|CloudObject|CloudObjects|CloudPublish|CloudPut|CloudSave|CloudShare|CloudSubmit|CloudSymbol|CloudUnshare|ClusterClassify|ClusteringComponents|ClusteringTree|CMYKColor|Coefficient|CoefficientArrays|CoefficientList|CoefficientRules|CoifletWavelet|Collect|Colon|ColonForm|ColorBalance|ColorCombine|ColorConvert|ColorData|ColorDataFunction|ColorDistance|Colorize|ColorNegate|ColorProfileData|ColorQ|ColorQuantize|ColorReplace|ColorSeparate|ColorSetter|ColorSetterBoxOptions|ColorSlider|ColorToneMapping|Column|ColumnForm|CometData|Commonest|CommonestFilter|CommonName|CommonUnits|CommunityGraphPlot|CompanyData|CompatibleUnitQ|Compile|CompiledFunction|Complement|CompleteGraph|CompleteGraphQ|CompleteKaryTree|ComplexExpand|ComponentMeasurements|ComposeList|ComposeSeries|CompositeQ|Composition|CompoundElement|CompoundExpression|CompoundPoissonDistribution|CompoundPoissonProcess|CompoundRenewalProcess|Compress|Condition|ConditionalExpression|Conditioned|Cone|ConformAudio|ConformImages|Congruent|ConicHullRegion|Conjugate|ConjugateTranspose|Conjunction|ConnectedComponents|ConnectedGraphComponents|ConnectedGraphQ|ConnectedMeshComponents|ConnectLibraryCallbackFunction|ConnectSystemModelComponents|ConnesWindow|ConoverTest|ConstantArray|ConstantArrayLayer|ConstantImage|ConstantPlusLayer|ConstantRegionQ|ConstantTimesLayer|ConstellationData|Construct|Containing|ContainsAll|ContainsAny|ContainsExactly|ContainsNone|ContainsOnly|ContentObject|Context|Contexts|ContextToFileName|Continue|ContinuedFraction|ContinuedFractionK|ContinuousMarkovProcess|ContinuousTask|ContinuousTimeModelQ|ContinuousWaveletData|ContinuousWaveletTransform|ContourDetect|ContourGraphics|ContourPlot|ContourPlot3D|ContraharmonicMean|ContrastiveLossLayer|Control|ControlActive|ControllabilityGramian|ControllabilityMatrix|ControllableDecomposition|ControllableModelQ|ControllerInformation|ControllerManipulate|ControllerState|Convergents|ConvexHullMesh|ConvolutionLayer|Convolve|ConwayGroupCo1|ConwayGroupCo2|ConwayGroupCo3|CoordinateBoundingBox|CoordinateBoundingBoxArray|CoordinateBounds|CoordinateBoundsArray|CoordinateChartData|CoordinateTransform|CoordinateTransformData|CoprimeQ|Coproduct|CopulaDistribution|CopyDatabin|CopyDirectory|CopyFile|CopyToClipboard|CornerFilter|Correlation|CorrelationDistance|CorrelationFunction|CorrelationTest|Cos|Cosh|CoshIntegral|CosineDistance|CosineWindow|CosIntegral|Cot|Coth|Count|CountDistinct|CountDistinctBy|CounterBoxOptions|CountRoots|CountryData|Counts|CountsBy|Covariance|CovarianceFunction|CoxianDistribution|CoxIngersollRossProcess|CoxModel|CoxModelFit|CramerVonMisesTest|CreateArchive|CreateChannel|CreateCloudExpression|CreateDatabin|CreateDataSystemModel|CreateDialog|CreateDirectory|CreateDocument|CreateFile|CreateManagedLibraryExpression|CreateNotebook|CreatePalette|CreatePermissionsGroup|CreateScheduledTask|CreateSearchIndex|CreateSystemModel|CreateTemporary|CreateUUID|CreateWindow|CriticalityFailureImportance|CriticalitySuccessImportance|CriticalSection|Cross|CrossEntropyLossLayer|CrossingDetect|CrossMatrix|Csc|Csch|CTCLossLayer|CubeRoot|Cuboid|Cumulant|CumulantGeneratingFunction|Cup|CupCap|Curl|CurrencyConvert|CurrentDate|CurrentImage|CurrentNotebookImage|CurrentScreenImage|CurrentValue|Curry|CurvatureFlowFilter|CycleGraph|CycleIndexPolynomial|Cycles|CyclicGroup|Cyclotomic|Cylinder|CylindricalDecomposition|D|DagumDistribution|DamData|DamerauLevenshteinDistance|Darker|Dashing|Databin|DatabinAdd|DatabinRemove|Databins|DatabinUpload|DataDistribution|Dataset|Date|DateBounds|Dated|DateDifference|DatedUnit|DateHistogram|DateList|DateListLogPlot|DateListPlot|DateListStepPlot|DateObject|DateObjectQ|DateOverlapsQ|DatePattern|DatePlus|DateRange|DateString|DateValue|DateWithinQ|DaubechiesWavelet|DawsonF|DayCount|DayHemisphere|DaylightQ|DayMatchQ|DayName|DayNightTerminator|DayPlus|DayRange|DayRound|DeBruijnGraph|DeBruijnSequence|Decapitalize|DecimalForm|DeclarePackage|Decompose|DeconvolutionLayer|Decrement|Decrypt|DecryptFile|DedekindEta|DeepSpaceProbeData|Default|DefaultButton|DefaultValues|Defer|DefineInputStreamMethod|DefineOutputStreamMethod|Definition|DegreeCentrality|DegreeGraphDistribution|DEigensystem|DEigenvalues|Del|DelaunayMesh|Delayed|Delete|DeleteBorderComponents|DeleteCases|DeleteChannel|DeleteCloudExpression|DeleteDirectory|DeleteDuplicates|DeleteDuplicatesBy|DeleteFile|DeleteMissing|DeleteObject|DeletePermissionsKey|DeleteSearchIndex|DeleteSmallComponents|DeleteStopwords|DelimitedSequence|Dendrogram|Denominator|DensityGraphics|DensityHistogram|DensityPlot|DensityPlot3D|Deploy|Depth|DepthFirstScan|Derivative|DerivativeFilter|DesignMatrix|Det|DeviceClose|DeviceConfigure|DeviceExecute|DeviceExecuteAsynchronous|DeviceObject|DeviceOpen|DeviceRead|DeviceReadBuffer|DeviceReadLatest|DeviceReadList|DeviceReadTimeSeries|Devices|DeviceStreams|DeviceWrite|DeviceWriteBuffer|DGaussianWavelet|Diagonal|DiagonalizableMatrixQ|DiagonalMatrix|Dialog|DialogInput|DialogNotebook|DialogReturn|Diamond|DiamondMatrix|DiceDissimilarity|DictionaryLookup|DictionaryWordQ|DifferenceDelta|DifferenceQuotient|DifferenceRoot|DifferenceRootReduce|Differences|DifferentialD|DifferentialRoot|DifferentialRootReduce|DifferentiatorFilter|DigitCount|DigitQ|DihedralGroup|Dilation|DimensionalCombinations|DimensionalMeshComponents|DimensionReduce|DimensionReducerFunction|DimensionReduction|Dimensions|DiracComb|DiracDelta|DirectedEdge|DirectedGraph|DirectedGraphQ|DirectedInfinity|Directive|Directory|DirectoryName|DirectoryQ|DirectoryStack|DirichletBeta|DirichletCharacter|DirichletCondition|DirichletConvolve|DirichletDistribution|DirichletEta|DirichletL|DirichletLambda|DirichletTransform|DirichletWindow|DisableFormatting|DiscreteChirpZTransform|DiscreteConvolve|DiscreteDelta|DiscreteHadamardTransform|DiscreteIndicator|DiscreteLimit|DiscreteLQEstimatorGains|DiscreteLQRegulatorGains|DiscreteLyapunovSolve|DiscreteMarkovProcess|DiscreteMaxLimit|DiscreteMinLimit|DiscretePlot|DiscretePlot3D|DiscreteRatio|DiscreteRiccatiSolve|DiscreteShift|DiscreteTimeModelQ|DiscreteUniformDistribution|DiscreteWaveletData|DiscreteWaveletPacketTransform|DiscreteWaveletTransform|DiscretizeGraphics|DiscretizeRegion|Discriminant|DisjointQ|Disjunction|Disk|DiskMatrix|DiskSegment|Dispatch|Display|DisplayEndPacket|DisplayForm|DisplayPacket|DisplayString|DistanceMatrix|DistanceTransform|Distribute|Distributed|DistributeDefinitions|DistributionChart|DistributionFitTest|DistributionParameterAssumptions|DistributionParameterQ|Div|Divide|DivideBy|DivideSides|Divisible|Divisors|DivisorSigma|DivisorSum|DMSList|DMSString|Do|DocumentGenerator|DocumentNotebook|DominantColors|Dot|DotEqual|DotLayer|DotPlusLayer|DoubleBracketingBar|DoubleDownArrow|DoubleLeftArrow|DoubleLeftRightArrow|DoubleLeftTee|DoubleLongLeftArrow|DoubleLongLeftRightArrow|DoubleLongRightArrow|DoubleRightArrow|DoubleRightTee|DoubleUpArrow|DoubleUpDownArrow|DoubleVerticalBar|DownArrow|DownArrowBar|DownArrowUpArrow|DownLeftRightVector|DownLeftTeeVector|DownLeftVector|DownLeftVectorBar|DownRightTeeVector|DownRightVector|DownRightVectorBar|Downsample|DownTee|DownTeeArrow|DownValues|Drop|DropoutLayer|DSolve|DSolveValue|Dt|DualSystemsModel|DumpGet|DumpSave|DuplicateFreeQ|Duration|Dynamic|DynamicBoxOptions|DynamicGeoGraphics|DynamicImage|DynamicModule|DynamicModuleBoxOptions|DynamicSetting|DynamicWrapper|DynamicWrapperBoxOptions|EarthImpactData|EarthquakeData|EccentricityCentrality|Echo|EchoFunction|EdgeAdd|EdgeBetweennessCentrality|EdgeConnectivity|EdgeContract|EdgeCount|EdgeCoverQ|EdgeCycleMatrix|EdgeDelete|EdgeDetect|EdgeForm|EdgeIndex|EdgeList|EdgeQ|EdgeRules|EditDistance|EffectiveInterest|Eigensystem|Eigenvalues|EigenvectorCentrality|Eigenvectors|Element|ElementData|ElementwiseLayer|Eliminate|Ellipsoid|EllipticE|EllipticExp|EllipticExpPrime|EllipticF|EllipticFilterModel|EllipticK|EllipticLog|EllipticNomeQ|EllipticPi|EllipticReducedHalfPeriods|EllipticTheta|EllipticThetaPrime|EmbedCode|EmbeddedHTML|EmbeddedService|EmbeddingLayer|EmitSound|EmpiricalDistribution|EmptyGraphQ|EmptyRegion|Encode|Encrypt|EncryptedObject|EncryptFile|End|EndAdd|EndDialogPacket|EndPackage|EngineeringForm|EnterExpressionPacket|EnterTextPacket|Entity|EntityClass|EntityClassList|EntityCopies|EntityGroup|EntityInstance|EntityList|EntityPrefetch|EntityProperties|EntityProperty|EntityPropertyClass|EntityRegister|EntityStore|EntityStores|EntityTypeName|EntityUnregister|EntityValue|Entropy|EntropyFilter|Environment|Equal|EqualTilde|EqualTo|Equilibrium|EquirippleFilterKernel|Equivalent|Erf|Erfc|Erfi|ErlangB|ErlangC|ErlangDistribution|Erosion|ErrorBox|EstimatedBackground|EstimatedDistribution|EstimatedProcess|EstimatorGains|EstimatorRegulator|EuclideanDistance|EulerAngles|EulerE|EulerianGraphQ|EulerMatrix|EulerPhi|Evaluate|EvaluatePacket|EvaluateScheduledTask|EvaluationBox|EvaluationCell|EvaluationData|EvaluationNotebook|EvaluationObject|EvenQ|EventData|EventHandler|EventSeries|ExactBlackmanWindow|ExactNumberQ|ExampleData|Except|Exists|Exit|ExoplanetData|Exp|Expand|ExpandAll|ExpandDenominator|ExpandFileName|ExpandNumerator|Expectation|ExpectedValue|ExpGammaDistribution|ExpIntegralE|ExpIntegralEi|Exponent|ExponentialDistribution|ExponentialGeneratingFunction|ExponentialMovingAverage|ExponentialPowerDistribution|Export|ExportByteArray|ExportForm|ExportString|ExpressionCell|ExpToTrig|ExtendedGCD|ExternalBundle|ExternalEvaluate|ExternalObject|ExternalSessionObject|ExternalSessions|Extract|ExtractArchive|ExtremeValueDistribution|FaceForm|FacialFeatures|Factor|Factorial|Factorial2|FactorialMoment|FactorialMomentGeneratingFunction|FactorialPower|FactorInteger|FactorList|FactorSquareFree|FactorSquareFreeList|FactorTerms|FactorTermsList|Failure|FailureDistribution|FailureQ|FareySequence|FARIMAProcess|FeatureDistance|FeatureExtract|FeatureExtraction|FeatureExtractorFunction|FeatureNearest|FeatureSpacePlot|FeatureSpacePlot3D|FeedbackLinearize|FetalGrowthData|Fibonacci|Fibonorial|File|FileBaseName|FileByteCount|FileDate|FileExistsQ|FileExtension|FileFormat|FileHash|FileNameDepth|FileNameDrop|FileNameJoin|FileNames|FileNameSetter|FileNameSplit|FileNameTake|FilePrint|FileSize|FileSystemMap|FileSystemScan|FileTemplate|FileTemplateApply|FileType|FilledCurve|FilledCurveBoxOptions|FillingTransform|FilterRules|FinancialBond|FinancialData|FinancialDerivative|FinancialIndicator|Find|FindArgMax|FindArgMin|FindChannels|FindClique|FindClusters|FindCookies|FindCurvePath|FindCycle|FindDevices|FindDistribution|FindDistributionParameters|FindDivisions|FindEdgeCover|FindEdgeCut|FindEdgeIndependentPaths|FindEquationalProof|FindEulerianCycle|FindExternalEvaluators|FindFaces|FindFile|FindFit|FindFormula|FindFundamentalCycles|FindGeneratingFunction|FindGeoLocation|FindGeometricTransform|FindGraphCommunities|FindGraphIsomorphism|FindGraphPartition|FindHamiltonianCycle|FindHamiltonianPath|FindHiddenMarkovStates|FindIndependentEdgeSet|FindIndependentVertexSet|FindInstance|FindIntegerNullVector|FindKClan|FindKClique|FindKClub|FindKPlex|FindLibrary|FindLinearRecurrence|FindList|FindMaximum|FindMaximumFlow|FindMaxValue|FindMeshDefects|FindMinimum|FindMinimumCostFlow|FindMinimumCut|FindMinValue|FindPath|FindPeaks|FindPermutation|FindPostmanTour|FindProcessParameters|FindRepeat|FindRoot|FindSequenceFunction|FindShortestPath|FindShortestTour|FindSpanningTree|FindSystemModelEquilibrium|FindTextualAnswer|FindThreshold|FindTransientRepeat|FindVertexCover|FindVertexCut|FindVertexIndependentPaths|FinishDynamic|FiniteAbelianGroupCount|FiniteGroupCount|FiniteGroupData|First|FirstCase|FirstPassageTimeDistribution|FirstPosition|FischerGroupFi22|FischerGroupFi23|FischerGroupFi24Prime|FisherHypergeometricDistribution|FisherRatioTest|FisherZDistribution|Fit|FittedModel|FixedOrder|FixedPoint|FixedPointList|Flatten|FlattenAt|FlattenLayer|FlatTopWindow|FlipView|Floor|FlowPolynomial|Fold|FoldList|FoldPair|FoldPairList|For|ForAll|Format|FormatValues|FormBox|FormControl|FormFunction|FormObject|FormPage|FormulaData|FormulaLookup|FortranForm|Fourier|FourierCoefficient|FourierCosCoefficient|FourierCosSeries|FourierCosTransform|FourierDCT|FourierDCTFilter|FourierDCTMatrix|FourierDST|FourierDSTMatrix|FourierMatrix|FourierSequenceTransform|FourierSeries|FourierSinCoefficient|FourierSinSeries|FourierSinTransform|FourierTransform|FourierTrigSeries|FractionalBrownianMotionProcess|FractionalGaussianNoiseProcess|FractionalPart|FractionBox|FrameBox|Framed|FRatioDistribution|FrechetDistribution|FreeQ|FrenetSerretSystem|FrequencySamplingFilterKernel|FresnelC|FresnelF|FresnelG|FresnelS|FrobeniusNumber|FrobeniusSolve|FromAbsoluteTime|FromCharacterCode|FromCoefficientRules|FromContinuedFraction|FromDate|FromDigits|FromDMS|FromEntity|FromJulianDate|FromLetterNumber|FromPolarCoordinates|FromRomanNumeral|FromSphericalCoordinates|FromUnixTime|FrontEndExecute|FrontEndToken|FrontEndTokenExecute|FullAxes|FullDefinition|FullForm|FullGraphics|FullInformationOutputRegulator|FullRegion|FullSimplify|Function|FunctionDomain|FunctionExpand|FunctionInterpolation|FunctionPeriod|FunctionRange|FussellVeselyImportance|GaborFilter|GaborMatrix|GaborWavelet|GainMargins|GainPhaseMargins|GalaxyData|GalleryView|Gamma|GammaDistribution|GammaRegularized|GARCHProcess|GatedRecurrentLayer|Gather|GatherBy|GaussianFilter|GaussianMatrix|GaussianOrthogonalMatrixDistribution|GaussianSymplecticMatrixDistribution|GaussianUnitaryMatrixDistribution|GaussianWindow|GCD|GegenbauerC|GeneralizedLinearModelFit|GenerateAsymmetricKeyPair|GenerateDocument|GenerateHTTPResponse|GenerateSecuredAuthenticationKey|GenerateSymmetricKey|GeneratingFunction|GenericCylindricalDecomposition|GenomeData|GenomeLookup|GeoAntipode|GeoArea|GeoBoundingBox|GeoBounds|GeoBoundsRegion|GeoBubbleChart|GeoCircle|GeodesicClosing|GeodesicDilation|GeodesicErosion|GeodesicOpening|GeoDestination|GeodesyData|GeoDirection|GeoDisk|GeoDisplacement|GeoDistance|GeoDistanceList|GeoElevationData|GeoEntities|GeoGraphics|GeogravityModelData|GeoGridPosition|GeoGroup|GeoHemisphere|GeoHemisphereBoundary|GeoHistogram|GeoIdentify|GeoImage|GeoLength|GeoListPlot|GeologicalPeriodData|GeomagneticModelData|GeoMarker|GeometricBrownianMotionProcess|GeometricDistribution|GeometricMean|GeometricMeanFilter|GeometricTransformation|GeometricTransformation3DBoxOptions|GeometricTransformationBoxOptions|GeoNearest|GeoPath|GeoPosition|GeoPositionENU|GeoPositionXYZ|GeoProjectionData|GeoRegionValuePlot|GeoSmoothHistogram|GeoStyling|GeoVariant|GeoVisibleRegion|GeoVisibleRegionBoundary|GeoWithinQ|GestureHandler|Get|GetContext|GetEnvironment|GlobalClusteringCoefficient|Glow|GompertzMakehamDistribution|GoodmanKruskalGamma|GoodmanKruskalGammaTest|Goto|Grad|GradientFilter|GradientOrientationFilter|GrammarApply|GrammarRules|GrammarToken|Graph|Graph3D|GraphAssortativity|GraphAutomorphismGroup|GraphCenter|GraphComplement|GraphData|GraphDensity|GraphDiameter|GraphDifference|GraphDisjointUnion|GraphDistance|GraphDistanceMatrix|GraphEmbedding|GraphHub|Graphics|Graphics3D|Graphics3DBoxOptions|GraphicsArray|GraphicsBoxOptions|GraphicsColumn|GraphicsComplex|GraphicsComplex3DBoxOptions|GraphicsComplexBoxOptions|GraphicsGrid|GraphicsGroup|GraphicsGroup3DBoxOptions|GraphicsGroupBoxOptions|GraphicsRow|GraphIntersection|GraphLinkEfficiency|GraphPeriphery|GraphPlot|GraphPlot3D|GraphPower|GraphPropertyDistribution|GraphQ|GraphRadius|GraphReciprocity|GraphUnion|GrayLevel|Greater|GreaterEqual|GreaterEqualLess|GreaterEqualThan|GreaterFullEqual|GreaterGreater|GreaterLess|GreaterSlantEqual|GreaterThan|GreaterTilde|GreenFunction|Grid|GridBox|GridBoxOptions|GridGraph|GroebnerBasis|GroupBy|GroupCentralizer|GroupElementFromWord|GroupElementPosition|GroupElementQ|GroupElements|GroupElementToWord|GroupGenerators|Groupings|GroupMultiplicationTable|GroupOrbits|GroupOrder|GroupSetwiseStabilizer|GroupStabilizer|GroupStabilizerChain|GrowCutComponents|Gudermannian|GuidedFilter|GumbelDistribution|HaarWavelet|HadamardMatrix|HalfLine|HalfNormalDistribution|HalfPlane|HalfSpace|HamiltonianGraphQ|HammingDistance|HammingWindow|HankelH1|HankelH2|HankelMatrix|HankelTransform|HannPoissonWindow|HannWindow|HaradaNortonGroupHN|HararyGraph|HarmonicMean|HarmonicMeanFilter|HarmonicNumber|Hash|Haversine|HazardFunction|Head|HeadCompose|HeavisideLambda|HeavisidePi|HeavisideTheta|HeldGroupHe|HermiteDecomposition|HermiteH|HermitianMatrixQ|HessenbergDecomposition|Hexahedron|HiddenMarkovProcess|Highlighted|HighlightGraph|HighlightImage|HighlightMesh|HighpassFilter|HigmanSimsGroupHS|HilbertCurve|HilbertFilter|HilbertMatrix|Histogram|Histogram3D|HistogramDistribution|HistogramList|HistogramTransform|HistogramTransformInterpolation|HistoricalPeriodData|HitMissTransform|HITSCentrality|HjorthDistribution|HodgeDual|HoeffdingD|HoeffdingDTest|Hold|HoldComplete|HoldForm|HoldPattern|HorizontalGauge|HornerForm|HostLookup|HotellingTSquareDistribution|HoytDistribution|HTMLSave|HTTPErrorResponse|HTTPRedirect|HTTPRequest|HTTPRequestData|HTTPResponse|Hue|HumanGrowthData|HumpDownHump|HumpEqual|HurwitzLerchPhi|HurwitzZeta|HyperbolicDistribution|HypercubeGraph|HyperexponentialDistribution|Hyperfactorial|Hypergeometric0F1|Hypergeometric0F1Regularized|Hypergeometric1F1|Hypergeometric1F1Regularized|Hypergeometric2F1|Hypergeometric2F1Regularized|HypergeometricDistribution|HypergeometricPFQ|HypergeometricPFQRegularized|HypergeometricU|Hyperlink|Hyperplane|HypoexponentialDistribution|HypothesisTestData|IconData|Iconize|Id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|RegionNearestFunction|RegionPlot|RegionPlot3D|RegionProduct|RegionQ|RegionResize|RegionSymmetricDifference|RegionUnion|RegionWithin|RegisterExternalEvaluator|RegularExpression|RegularlySampledQ|RegularPolygon|ReIm|Reinstall|RelationGraph|ReleaseHold|ReliabilityDistribution|ReliefImage|ReliefPlot|RemoteConnect|RemoteConnectionObject|RemoteRun|RemoteRunProcess|Remove|RemoveAlphaChannel|RemoveAsynchronousTask|RemoveAudioStream|RemoveBackground|RemoveChannelListener|Removed|RemoveDiacritics|RemoveInputStreamMethod|RemoveOutputStreamMethod|RemoveProperty|RemoveScheduledTask|RemoveUsers|RenameDirectory|RenameFile|RenewalProcess|RenkoChart|RepairMesh|Repeated|RepeatedNull|RepeatedTiming|RepeatingElement|Replace|ReplaceAll|ReplaceImageValue|ReplaceList|ReplacePart|ReplacePixelValue|ReplaceRepeated|ReplicateLayer|ResamplingAlgorithmData|Rescale|RescalingTransform|ResetDirectory|ResetScheduledTask|ReshapeLayer|Residue|ResizeLayer|Resolve|ResourceData|ResourceObject|ResourceRegister|ResourceRemove|ResourceSearch|ResourceSubmit|ResourceUpdate|ResponseForm|Rest|Restricted|Resultant|ResumePacket|Return|ReturnExpressionPacket|ReturnPacket|ReturnTextPacket|Reverse|ReverseBiorthogonalSplineWavelet|ReverseElement|ReverseEquilibrium|ReverseGraph|ReverseSort|ReverseUpEquilibrium|RevolutionPlot3D|RGBColor|RiccatiSolve|RiceDistribution|RidgeFilter|RiemannR|RiemannSiegelTheta|RiemannSiegelZ|RiemannXi|Riffle|RightArrow|RightArrowBar|RightArrowLeftArrow|RightComposition|RightCosetRepresentative|RightDownTeeVector|RightDownVector|RightDownVectorBar|RightTee|RightTeeArrow|RightTeeVector|RightTriangle|RightTriangleBar|RightTriangleEqual|RightUpDownVector|RightUpTeeVector|RightUpVector|RightUpVectorBar|RightVector|RightVectorBar|RiskAchievementImportance|RiskReductionImportance|RogersTanimotoDissimilarity|RollPitchYawAngles|RollPitchYawMatrix|RomanNumeral|Root|RootApproximant|RootIntervals|RootLocusPlot|RootMeanSquare|RootOfUnityQ|RootReduce|Roots|RootSum|Rotate|RotateLeft|RotateRight|RotationBoxOptions|RotationMatrix|RotationTransform|Round|Row|RowBox|RowReduce|RSolve|RSolveValue|RudinShapiro|RudvalisGroupRu|Rule|RuleDelayed|RulePlot|Run|RunProcess|RunScheduledTask|RunThrough|RussellRaoDissimilarity|SameQ|SampledSoundFunction|SampledSoundList|SARIMAProcess|SARMAProcess|SASTriangle|SatelliteData|SatisfiabilityCount|SatisfiabilityInstances|SatisfiableQ|Save|SavitzkyGolayMatrix|SawtoothWave|Scale|Scaled|ScalingMatrix|ScalingTransform|Scan|ScheduledTask|ScheduledTaskActiveQ|ScheduledTaskObject|ScheduledTasks|SchurDecomposition|ScientificForm|ScorerGi|ScorerGiPrime|ScorerHi|ScorerHiPrime|SearchAdjustment|SearchIndexObject|SearchIndices|SearchQueryString|SearchResultObject|Sec|Sech|SechDistribution|SectorChart|SectorChart3D|SecuredAuthenticationKey|SecuredAuthenticationKeys|SeedRandom|Select|SelectComponents|SelectedCells|SelectedNotebook|SelectFirst|SelectionAnimate|SelectionCreateCell|SelectionEvaluate|SelectionEvaluateCreateCell|SelectionMove|SemanticImport|SemanticImportString|SemanticInterpretation|SemialgebraicComponentInstances|SendMail|SendMessage|Sequence|SequenceAlignment|SequenceAttentionLayer|SequenceCases|SequenceCount|SequenceFold|SequenceFoldList|SequenceForm|SequenceLastLayer|SequenceMostLayer|SequencePosition|SequencePredict|SequencePredictorFunction|SequenceReplace|SequenceRestLayer|SequenceReverseLayer|SequenceSplit|Series|SeriesCoefficient|SeriesData|ServiceConnect|ServiceDisconnect|ServiceExecute|ServiceObject|SessionSubmit|SessionTime|Set|SetAccuracy|SetAlphaChannel|SetAttributes|SetCloudDirectory|SetCookies|SetDelayed|SetDirectory|SetEnvironment|SetFileDate|SetOptions|SetPermissions|SetPrecision|SetProperty|SetSelectedNotebook|SetSharedFunction|SetSharedVariable|SetStreamPosition|SetSystemModel|SetSystemOptions|Setter|SetterBar|SetterBoxOptions|Setting|SetUsers|Shallow|ShannonWavelet|ShapiroWilkTest|Share|Sharpen|ShearingMatrix|ShearingTransform|ShellRegion|ShenCastanMatrix|ShiftedGompertzDistribution|ShiftRegisterSequence|Short|ShortDownArrow|Shortest|ShortestMatch|ShortestPathFunction|ShortLeftArrow|ShortRightArrow|ShortUpArrow|Show|SiderealTime|SiegelTheta|SiegelTukeyTest|SierpinskiCurve|SierpinskiMesh|Sign|Signature|SignedRankTest|SignedRegionDistance|SignTest|SimpleGraph|SimpleGraphQ|Simplex|Simplify|Sin|Sinc|SinghMaddalaDistribution|SingularValueDecomposition|SingularValueList|SingularValuePlot|SingularValues|Sinh|SinhIntegral|SinIntegral|SixJSymbol|Skeleton|SkeletonTransform|SkellamDistribution|Skewness|SkewNormalDistribution|Skip|SliceContourPlot3D|SliceDensityPlot3D|SliceDistribution|SliceVectorPlot3D|Slider|Slider2D|Slider2DBoxOptions|SliderBoxOptions|SlideView|SmallCircle|SmithDecomposition|SmithDelayCompensator|SmithWatermanSimilarity|SmoothDensityHistogram|SmoothHistogram|SmoothHistogram3D|SmoothKernelDistribution|SnDispersion|Snippet|SocialMediaData|SocketConnect|SocketListen|SocketListener|SocketObject|SocketOpen|SocketReadMessage|SocketReadyQ|Sockets|SocketWaitAll|SocketWaitNext|SoftmaxLayer|SokalSnea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|ThreadingLayer|ThreeJSymbol|Threshold|Through|Throw|ThueMorse|Thumbnail|TideData|Tilde|TildeEqual|TildeFullEqual|TildeTilde|TimeConstrained|TimelinePlot|TimeObject|TimeObjectQ|Times|TimesBy|TimeSeries|TimeSeriesAggregate|TimeSeriesForecast|TimeSeriesInsert|TimeSeriesInvertibility|TimeSeriesMap|TimeSeriesMapThread|TimeSeriesModel|TimeSeriesModelFit|TimeSeriesResample|TimeSeriesRescale|TimeSeriesShift|TimeSeriesThread|TimeSeriesWindow|TimeUsed|TimeValue|TimeWarpingCorrespondence|TimeWarpingDistance|TimeZoneConvert|TimeZoneOffset|Timing|TitsGroupT|ToBoxes|ToCharacterCode|ToColor|ToContinuousTimeModel|ToDate|ToDiscreteTimeModel|ToEntity|ToeplitzMatrix|ToExpression|ToFileName|Together|Toggler|TogglerBar|TogglerBoxOptions|ToInvertibleTimeSeries|ToLowerCase|ToNumberField|Tooltip|TooltipBoxOptions|TopHatTransform|ToPolarCoordinates|TopologicalSort|ToRadicals|ToRules|ToSphericalCoordinates|ToString|Total|TotalLayer|TotalVariationFilter|TouchPosition|ToUpperCase|Tr|Trace|TraceDialog|TraceLevel|TracePrint|TraceScan|TracyWidomDistribution|TradingChart|TraditionalForm|TransferFunctionCancel|TransferFunctionExpand|TransferFunctionFactor|TransferFunctionModel|TransferFunctionPoles|TransferFunctionTransform|TransferFunctionZeros|TransformationFunction|TransformationMatrix|TransformedDistribution|TransformedField|TransformedProcess|TransformedRegion|TransitiveClosureGraph|TransitiveReductionGraph|Translate|TranslationOptions|TranslationTransform|Transliterate|Transpose|TransposeLayer|TravelDirections|TravelDirectionsData|TravelDistance|TravelDistanceList|TravelTime|TreeForm|TreeGraph|TreeGraphQ|TreePlot|Triangle|TriangleWave|TriangularDistribution|TriangulateMesh|TrigExpand|TrigFactor|TrigFactorList|Trigger|TrigReduce|TrigToExp|TrimmedMean|TrimmedVariance|TropicalStormData|TrueQ|TruncatedDistribution|TsallisQExponentialDistribution|TsallisQGaussianDistribution|TTest|Tube|TubeBezierCurveBoxOptions|TubeBoxOptions|TubeBSplineCurveBoxOptions|TukeyLambdaDistribution|TukeyWindow|TunnelData|Tuples|TuranGraph|TuringMachine|TuttePolynomial|TwoWayRule|UnateQ|Uncompress|UnderBar|Underflow|Underoverscript|UnderoverscriptBox|Underscript|UnderscriptBox|UnderseaFeatureData|UndirectedEdge|UndirectedGraph|UndirectedGraphQ|Unequal|UnequalTo|Unevaluated|UniformDistribution|UniformGraphDistribution|UniformSumDistribution|Uninstall|Union|UnionPlus|Unique|UnitaryMatrixQ|UnitBox|UnitConvert|UnitDimensions|Unitize|UnitRootTest|UnitSimplify|UnitStep|UnitTriangle|UnitVector|UnitVectorLayer|UniverseModelData|UniversityData|UnixTime|Unprotect|UnregisterExternalEvaluator|UnsameQ|Unset|UnsetShared|UpArrow|UpArrowBar|UpArrowDownArrow|Update|UpdateSearchIndex|UpDownArrow|UpEquilibrium|UpperCaseQ|UpperLeftArrow|UpperRightArrow|UpperTriangularize|Upsample|UpSet|UpSetDelayed|UpTee|UpTeeArrow|UpTo|UpValues|URL|URLBuild|URLDecode|URLDispatcher|URLDownload|URLDownloadSubmit|URLEncode|URLExecute|URLExpand|URLParse|URLQueryDecode|URLQueryEncode|URLRead|URLResponseTime|URLShorten|URLSubmit|UsingFrontEnd|V2Get|ValueBoxOptions|ValueQ|Values|Variables|Variance|VarianceEquivalenceTest|VarianceGammaDistribution|VarianceTest|VectorAngle|VectorDensityPlot|VectorPlot|VectorPlot3D|VectorQ|Vectors|Vee|Verbatim|VerificationTest|VertexAdd|VertexComponent|VertexConnectivity|VertexContract|VertexCorrelationSimilarity|VertexCosineSimilarity|VertexCount|VertexCoverQ|VertexDegree|VertexDelete|VertexDiceSimilarity|VertexEccentricity|VertexInComponent|VertexInDegree|VertexIndex|VertexJaccardSimilarity|VertexList|VertexOutComponent|VertexOutDegree|VertexQ|VertexReplace|VerticalBar|VerticalGauge|VerticalSeparator|VerticalSlider|VerticalTilde|VoigtDistribution|VolcanoData|Volume|VonMisesDistribution|VoronoiMesh|WaitAll|WaitAsynchronousTask|WaitNext|WakebyDistribution|WalleniusHypergeometricDistribution|WaringYuleDistribution|WarpingCorrespondence|WarpingDistance|WatershedComponents|WatsonUSquareTest|WattsStrogatzGraphDistribution|WaveletBestBasis|WaveletFilterCoefficients|WaveletImagePlot|WaveletListPlot|WaveletMapIndexed|WaveletMatrixPlot|WaveletPhi|WaveletPsi|WaveletScalogram|WaveletThreshold|WeaklyConnectedComponents|WeaklyConnectedGraphComponents|WeaklyConnectedGraphQ|WeakStationarity|WeatherData|WeatherForecastData|WeberE|WebImageSearch|WebSearch|Wedge|WeibullDistribution|WeierstrassE1|WeierstrassE2|WeierstrassE3|WeierstrassEta1|WeierstrassEta2|WeierstrassEta3|WeierstrassHalfPeriods|WeierstrassHalfPeriodW1|WeierstrassHalfPeriodW2|WeierstrassHalfPeriodW3|WeierstrassInvariantG2|WeierstrassInvariantG3|WeierstrassInvariants|WeierstrassP|WeierstrassPPrime|WeierstrassSigma|WeierstrassZeta|WeightedAdjacencyGraph|WeightedAdjacencyMatrix|WeightedData|WeightedGraphQ|WelchWindow|WheelGraph|WhenEvent|Which|While|WhiteNoiseProcess|WhittakerM|WhittakerW|WienerFilter|WienerProcess|WignerD|WignerSemicircleDistribution|WikipediaData|WikipediaSearch|WilksW|WilksWTest|WindDirectionData|WindSpeedData|WindVectorData|WinsorizedMean|WinsorizedVariance|WishartMatrixDistribution|With|WolframAlpha|WolframLanguageData|WordCloud|WordCount|WordCounts|WordData|WordDefinition|WordFrequency|WordFrequencyData|WordList|WordStem|WordTranslation|Write|WriteLine|WriteString|Wronskian|XMLElement|XMLObject|XMLTemplate|Xnor|Xor|XYZColor|YuleDissimilarity|ZernikeR|ZeroSymmetric|Zeta|ZetaZero|ZIPCodeData|ZipfDistribution|ZTest|ZTransform built_in_options: AccuracyGoal|Active|ActiveStyle|AddOnHelpPath|AdjustmentBoxOptions|Alignment|AlignmentPoint|AllowedCloudExtraParameters|AllowedCloudParameterExtensions|AllowedDimensions|AllowGroupClose|AllowInlineCells|AllowLooseGrammar|AllowReverseGroupClose|AllowScriptLevelChange|AlternateImage|AlternativeHypothesis|AltitudeMethod|AmbientLight|AmbiguityFunction|Analytic|AnchoredSearch|AnimationCycleOffset|AnimationCycleRepetitions|AnimationDirection|AnimationDisplayTime|AnimationRate|AnimationRepetitions|AnimationRunning|AnimationRunTime|AnimationTimeIndex|Antialiasing|Appearance|AppearanceElements|AppearanceRules|AspectRatio|AspectRatioFixed|AssociationFormat|AssumeDeterministic|Assumptions|Asynchronous|AudioChannelAssignment|AudioDevice|AudioInputDevice|AudioLabel|AudioLooping|AudioOutputDevice|Authentication|AutoAction|AutoCopy|AutoDelete|AutoGeneratedPackage|AutoIndent|AutoItalicWords|AutoloadPath|AutoMultiplicationSymbol|AutoOpenNotebooks|AutoOpenPalettes|AutoRemove|AutorunSequencing|AutoScroll|AutoSpacing|Axes|AxesEdge|AxesLabel|AxesOrigin|AxesStyle|Background|BarOrigin|BarSpacing|BaselinePosition|BaseStyle|BatchSize|BinaryFormat|BlockchainBase|Bookmarks|BooleanStrings|BoundaryStyle|BoxBaselineShift|Boxed|BoxFormFormatTypes|BoxFrame|BoxMargins|BoxRatios|BoxStyle|BubbleScale|BubbleSizes|ButtonBoxOptions|ButtonData|ButtonEvaluator|ButtonExpandable|ButtonFrame|ButtonFunction|ButtonMargins|ButtonMinHeight|ButtonNote|ButtonSource|ButtonStyle|ByteOrdering|CachePersistence|CalendarType|CalloutMarker|CalloutStyle|CaptureRunning|CaseOrdering|CelestialSystem|CellAutoOverwrite|CellBaseline|CellBracketOptions|CellChangeTimes|CellContext|CellDingbat|CellDynamicExpression|CellEditDuplicate|CellEpilog|CellEvaluationDuplicate|CellEvaluationFunction|CellEventActions|CellFrame|CellFrameColor|CellFrameLabelMargins|CellFrameLabels|CellFrameMargins|CellGrouping|CellGroupingRules|CellHorizontalScrolling|CellID|CellLabel|CellLabelAutoDelete|CellLabelMargins|CellLabelPositioning|CellLabelStyle|CellMargins|CellOpen|CellProlog|CellSize|CellTags|ChannelBase|ChannelBrokerAction|ChannelDatabin|ChannelPreSendFunction|CharacterEncoding|CharacterEncodingsPath|ChartBaseStyle|ChartElementFunction|ChartElements|ChartLabels|ChartLayout|ChartLegends|ChartStyle|ClassPriors|ClipFill|ClippingStyle|ClipPlanes|ClipPlanesStyle|ClipRange|ClosingAutoSave|CloudBase|ClusterDissimilarityFunction|CodeAssistOptions|ColorCoverage|ColorFunction|ColorFunctionScaling|ColorOutput|ColorRules|ColorSelectorSettings|ColorSpace|ColumnAlignments|ColumnLines|ColumnsEqual|ColumnSpacings|ColumnWidths|CombinerFunction|CommonDefaultFormatTypes|CommunityBoundaryStyle|CommunityLabels|CommunityRegionStyle|CompilationOptions|CompilationTarget|Compiled|ComplexityFunction|ConfidenceLevel|ConfidenceRange|ConfidenceTransform|ConfigurationPath|Constants|ContentFieldOptions|ContentLocationFunction|ContentPadding|ContentSelectable|ContentSize|ContinuousAction|ContourLabels|ContourLines|Contours|ContourShading|ContourStyle|ControllerLinking|ControllerMethod|ControllerPath|ControlPlacement|ControlsRendering|ControlType|ConversionOptions|ConversionRules|CookieFunction|CoordinatesToolOptions|Copyable|CornerNeighbors|CounterAssignments|CounterFunction|CounterIncrements|CounterStyleMenuListing|CovarianceEstimatorFunction|CreateCellID|CreateIntermediateDirectories|CriterionFunction|Cubics|CurveClosed|DampingFactor|DataRange|DataReversed|DateFormat|DateFunction|DateReduction|DateTicksFormat|DayCountConvention|DefaultColor|DefaultDuplicateCellStyle|DefaultDuration|DefaultElement|DefaultFontProperties|DefaultFormatType|DefaultInlineFormatType|DefaultNaturalLanguage|DefaultNewCellStyle|DefaultNewInlineCellStyle|DefaultNotebook|DefaultOptions|DefaultPrintPrecision|DefaultStyleDefinitions|Deinitialization|Deletable|DeleteContents|DeletionWarning|DelimiterFlashTime|DelimiterMatching|Delimiters|DeliveryFunction|DependentVariables|Deployed|DescriptorStateSpace|DiacriticalPositioning|DialogProlog|DialogSymbols|DigitBlock|DirectedEdges|Direction|DiscreteVariables|DispersionEstimatorFunction|DisplayAllSteps|DisplayFunction|DistanceFunction|DistributedContexts|Dithering|Dividers|DockedCells|DocumentWeightingRules|DOSTextFormat|DoublyInfinite|DynamicEvaluationTimeout|DynamicModuleValues|EclipseType|EdgeCapacity|EdgeCost|EdgeLabeling|EdgeLabels|EdgeLabelStyle|EdgeRenderingFunction|EdgeShapeFunction|EdgeStyle|EdgeWeight|Editable|EditCellTagsSettings|ElidedForms|Enabled|Epilog|EpilogFunction|EqualColumns|EqualRows|EquatedTo|EscapeRadius|Evaluatable|EvaluationCompletionAction|EvaluationElements|EvaluationEnvironment|EvaluationMonitor|Evaluator|EvaluatorNames|EventLabels|ExactRootIsolation|ExcludedForms|ExcludedLines|ExcludedPhysicalQuantities|ExcludePods|Exclusions|ExclusionsStyle|ExpirationDate|ExponentFunction|ExponentialFamily|ExponentPosition|ExponentStep|ExportAutoReplacements|Extension|ExtentElementFunction|ExtentMarkers|ExtentSize|ExternalDataCharacterEncoding|ExternalOptions|ExternalTypeSignature|FaceGrids|FaceGridsStyle|FailureAction|FeatureExtractor|FeatureNames|FeatureTypes|FeedbackSector|FeedbackSectorStyle|FeedbackType|FieldCompletionFunction|FieldHint|FieldHintStyle|FieldMasked|FieldSize|FileNameDialogSettings|FileNameForms|Filling|FillingStyle|FindSettings|FollowRedirects|FontColor|FontFamily|FontPostScriptName|FontSize|FontSlant|FontSubstitutions|FontTracking|FontVariations|FontWeight|FormatType|FormatTypeAutoConvert|FormBoxOptions|FormLayoutFunction|FormTheme|FourierParameters|FractionBoxOptions|FractionLine|Frame|FrameBoxOptions|FrameLabel|FrameMargins|FrameRate|FrameStyle|FrameTicks|FrameTicksStyle|FrontEndEventActions|FrontEndStackSize|FunctionSpace|GapPenalty|GaugeFaceElementFunction|GaugeFaceStyle|GaugeFrameElementFunction|GaugeFrameSize|GaugeFrameStyle|GaugeLabels|GaugeMarkers|GaugeStyle|GaussianIntegers|GenerateConditions|GeneratedCell|GeneratedDocumentBinding|GeneratedParameters|GeneratedQuantityMagnitudes|GeneratorDescription|GeneratorHistoryLength|GeneratorOutputType|GeoBackground|GeoCenter|GeoGridLines|GeoGridLinesStyle|GeoLabels|GeoLocation|GeoModel|GeoProjection|GeoRange|GeoRangePadding|GeoScaleBar|GeoServer|GeoStylingImageFunction|GeoZoomLevel|Gradient|GraphHighlight|GraphHighlightStyle|GraphicsSpacing|GraphLayout|GraphStyle|GridBaseline|GridCreationSettings|GridDefaultElement|GridFrame|GridFrameMargins|GridLines|GridLinesStyle|GroupActionBase|GroupPageBreakWithin|HandlerFunctions|HandlerFunctionsKeys|HeaderLines|Heads|HelpBrowserSettings|HiddenSurface|HolidayCalendar|Hyphenation|IconRules|IgnoreCase|IgnoreDiacritics|IgnorePunctuation|ImageCaptureFunction|ImageFormattingWidth|ImageMargins|ImagePadding|ImagePreviewFunction|ImageRegion|ImageResolution|ImageRotated|ImageSize|ImageSizeAction|ImageSizeMultipliers|ImagingDevice|ImportAutoReplacements|ImportOptions|IncludeConstantBasis|IncludeFileExtension|IncludeGeneratorTasks|IncludeInflections|IncludeMetaInformation|IncludePods|IncludeQuantities|IncludeSingularTerm|IncludeWindowTimes|IndeterminateThreshold|InflationMethod|InheritScope|InitialEvaluationHistory|Initialization|InitializationCell|InitializationCellEvaluation|InitializationCellWarning|InputAliases|InputAssumptions|InputAutoReplacements|InsertionFunction|InsertResults|Interactive|Interleaving|InterpolationOrder|InterpolationPoints|InterpretationBoxOptions|InverseFunctions|ItemAspectRatio|ItemSize|ItemStyle|Jacobian|Joined|KeyCollisionFunction|KeypointStrength|LabelingFunction|LabelingSize|LabelStyle|Language|LanguageCategory|LayerSizeFunction|LeaderSize|LearningRateMultipliers|LegendAppearance|LegendFunction|LegendLabel|LegendLayout|LegendMargins|LegendMarkers|LegendMarkerSize|LicenseID|Lighting|LightingAngle|LightSources|LimitsPositioning|LimitsPositioningTokens|LinearOffsetFunction|LinebreakAdjustments|LineBreakWithin|LineIndent|LineIndentMaxFraction|LineIntegralConvolutionScale|LineSpacing|LinkFunction|LinkHost|LinkMode|LinkProtocol|ListFormat|ListPickerBoxOptions|LocalizeVariables|LocatorAutoCreate|LocatorRegion|LongForm|LossFunction|MachineID|MachineName|Magnification|MailAddressValidation|MailResponseFunction|MailSettings|MakeRules|Masking|MatchLocalNames|MaxCellMeasure|MaxDuration|MaxExtraBandwidths|MaxExtraConditions|MaxFeatureDisplacement|MaxFeatures|MaxItems|MaxIterations|MaxMixtureKernels|MaxPlotPoints|MaxPoints|MaxRecursion|MaxStepFraction|MaxSteps|MaxStepSize|MaxTrainingRounds|MaxWordGap|MemoryConstraint|MenuCommandKey|MenuSortingValue|MenuStyle|MergingFunction|Mesh|MeshCellHighlight|MeshCellLabel|MeshCellMarker|MeshCellShapeFunction|MeshCellStyle|MeshFunctions|MeshQualityGoal|MeshRefinementFunction|MeshShading|MeshStyle|MetaCharacters|MetaInformation|Method|MinColorDistance|MinIntervalSize|MinRecursion|MinSize|MissingBehavior|MissingDataMethod|MissingDataRules|MissingString|MissingStyle|Modal|Mode|MultiedgeStyle|MultilaunchWarning|MultilineFunction|Multiplicity|Multiselection|NetEvaluationMode|NicholsGridLines|NominalVariables|NonConstants|Normalized|NormalsFunction|NormFunction|NotebookAutoSave|NotebookConvertSettings|NotebookDynamicExpression|NotebookEventActions|NotebookPath|NotebooksMenu|NotificationFunction|NProductFactors|NSumTerms|NullRecords|NullWords|NumberFormat|NumberMarks|NumberMultiplier|NumberPadding|NumberPoint|NumberSeparator|NumberSigns|NyquistGridLines|OpacityFunction|OpacityFunctionScaling|OperatingSystem|OptionInspectorSettings|OutputAutoOverwrite|OutputSizeLimit|Overlaps|OverscriptBoxOptions|OverwriteTarget|PackingMethod|Padding|PaddingSize|PageBreakAbove|PageBreakBelow|PageBreakWithin|PageFooterLines|PageFooters|PageHeaderLines|PageHeaders|PageTheme|PageWidth|Pagination|PalettePath|Paneled|ParagraphIndent|ParagraphSpacing|Parallelization|ParameterEstimator|ParameterVariables|PartBehavior|PartitionGranularity|PartProtection|PassEventsDown|PassEventsUp|PasteBoxFormInlineCells|Path|PerformanceGoal|Permissions|PersistenceTime|PhaseRange|PIDDerivativeFilter|PIDFeedforward|Pivoting|PixelConstrained|PlaceholderReplace|PlayRange|PlotDivision|PlotJoined|PlotLabel|PlotLabels|PlotLayout|PlotLegends|PlotMarkers|PlotPoints|PlotRange|PlotRangeClipping|PlotRangePadding|PlotRegion|PlotStyle|PlotTheme|PodStates|PodWidth|PolarAxes|PolarAxesOrigin|PolarGridLines|PolarTicks|PoleZeroMarkers|PolygonIntersections|PrecisionGoal|PreferencesPath|PreprocessingRules|PreserveColor|PreserveImageOptions|PrincipalValue|PrintAction|PrintingCopies|PrintingOptions|PrintingPageRange|PrintingStartingPageNumber|PrintingStyleEnvironment|Printout3DPreviewer|PrintPrecision|PrivateCellOptions|PrivateEvaluationOptions|PrivateFontOptions|PrivateNotebookOptions|PrivatePaths|ProcessDirectory|ProcessEnvironment|ProcessEstimator|Prolog|Properties|PublisherID|Quartics|RadicalBoxOptions|RandomSeeding|RasterSize|RealBlockDiagonalForm|RecognitionPrior|RecognitionThreshold|RecordLists|RecordSeparators|ReferenceLineStyle|RefreshRate|RegionFunction|RegionSize|Regularization|RemoteAuthorizationCaching|RenderAll|RenderingOptions|RequiredPhysicalQuantities|Resampling|ResamplingMethod|RestartInterval|ReturnReceiptFunction|RevolutionAxis|RotateLabel|RotationAction|RoundingRadius|RowAlignments|RowLines|RowMinHeight|RowsEqual|RowSpacings|RulerUnits|RuntimeAttributes|RuntimeOptions|SameTest|SampleDepth|SampleRate|SamplingPeriod|Saveable|SaveDefinitions|ScaleDivisions|ScaleOrigin|ScalePadding|ScaleRanges|ScaleRangeStyle|ScalingFunctions|ScientificNotationThreshold|ScreenRectangle|ScreenStyleEnvironment|ScriptBaselineShifts|ScriptLevel|ScriptMinSize|ScriptSizeMultipliers|Scrollbars|ScrollingOptions|ScrollPosition|SectorOrigin|SectorSpacing|Selectable|SelfLoopStyle|Shading|SharingList|ShowAutoSpellCheck|ShowAutoStyles|ShowCellBracket|ShowCellLabel|ShowCellTags|ShowClosedCellArea|ShowContents|ShowCursorTracker|ShowGroupOpenCloseIcon|ShowGroupOpener|ShowPageBreaks|ShowSelection|ShowShortBoxForm|ShowStringCharacters|ShrinkingDelay|SignificanceLevel|SignPadding|SimilarityRules|SingleLetterItalics|SkinStyle|SolveDelayed|SoundVolume|SourceLink|Spacings|SpanAdjustments|SpanCharacterRounding|SpanLineThickness|SpanMaxSize|SpanMinSize|SpanSymmetric|SpecificityGoal|SpellingCorrection|SpellingDictionaries|SpellingDictionariesPath|SpellingOptions|SphericalRegion|SplineClosed|SplineDegree|SplineKnots|SplineWeights|SqrtBoxOptions|StabilityMargins|StabilityMarginsStyle|Standardized|StartingStepSize|StartupSound|StateDimensions|StateSpaceRealization|StepMonitor|StrataVariables|StreamColorFunction|StreamColorFunctionScaling|StreamMarkers|StreamPoints|StreamScale|StreamStyle|StripOnInput|StripWrapperBoxes|StructuredSelection|StyleBoxAutoDelete|StyleDefinitions|StyleMenuListing|StyleNameDialogSettings|StyleSheetPath|SubscriptBoxOptions|SubsuperscriptBoxOptions|SuperscriptBoxOptions|SynchronousInitialization|SynchronousUpdating|SyntaxForm|SystemHelpPath|SystemModelProgressReporting|SystemsModelLabels|TabFilling|TableAlignments|TableDepth|TableDirections|TableHeadings|TableSpacing|TabSpacings|TagBoxOptions|TaggingRules|TargetDevice|TargetFunctions|TargetUnits|TemplateBoxOptions|TemporalRegularity|TestID|TextAlignment|TextClipboardType|TextJustification|TextStyle|TextureCoordinateFunction|TextureCoordinateScaling|ThreadDepth|Ticks|TicksStyle|TimeConstraint|TimeDirection|TimeFormat|TimeGoal|TimeZone|TokenWords|Tolerance|TooltipDelay|TooltipStyle|TotalWidth|TouchscreenAutoZoom|TouchscreenControlPlacement|TraceAbove|TraceAction|TraceBackward|TraceDepth|TraceForward|TraceInternal|TraceOff|TraceOn|TraceOriginal|TrackedSymbols|TrackingFunction|TraditionalFunctionNotation|TrainingProgressCheckpointing|TrainingProgressFunction|TrainingProgressReporting|TransformationClass|TransformationFunctions|TransitionDirection|TransitionDuration|TransitionEffect|TravelMethod|TrendStyle|Trig|UnderoverscriptBoxOptions|UnderscriptBoxOptions|UndoOptions|UndoTrackedVariables|UnitSystem|UnityDimensions|UnsavedVariables|UpdateInterval|Using|UtilityFunction|ValidationLength|ValidationSet|ValueDimensions|ValuePreprocessingFunction|VarianceEstimatorFunction|VectorColorFunction|VectorColorFunctionScaling|VectorMarkers|VectorPoints|VectorScale|VectorStyle|VerifyConvergence|VerifySecurityCertificates|VerifySolutions|VerifyTestAssumptions|VertexCapacity|VertexColors|VertexCoordinateRules|VertexCoordinates|VertexDataCoordinates|VertexLabeling|VertexLabels|VertexLabelStyle|VertexNormals|VertexRenderingFunction|VertexShape|VertexShapeFunction|VertexSize|VertexStyle|VertexTextureCoordinates|VertexWeight|ViewAngle|ViewCenter|ViewMatrix|ViewPoint|ViewProjection|ViewRange|ViewVector|ViewVertical|Visible|WaveletScale|Weights|WhitePoint|WindowClickSelect|WindowElements|WindowFloating|WindowFrame|WindowFrameElements|WindowMargins|WindowMovable|WindowOpacity|WindowSize|WindowStatusArea|WindowTitle|WindowToolbars|WordOrientation|WordSearch|WordSelectionFunction|WordSeparators|WordSpacings|WorkingPrecision|WrapAround|ZeroTest|ZeroWidthTimes|ZoomCenter|ZoomFactor built_in_constants: Above|After|AlgebraicRulesData|Algebraics|All|Anonymous|Automatic|Axis|Back|Backward|Baseline|BayesianMinimization|Before|Below|Black|Blank|BlankForm|BlankNullSequence|BlankSequence|Blue|Bold|Booleans|Bottom|Brown|Byte|Catalan|CellStyle|Center|Character|CloudObjectInformation|Complex|Complexes|ComplexInfinity|Connect|Constant|ConvertToPostScriptPacket|Cyan|Dashed|DavisDistribution|Decimal|DefaultAxesStyle|DefaultBaseStyle|DefaultBoxStyle|DefaultFaceGridsStyle|DefaultFieldHintStyle|DefaultFrameStyle|DefaultFrameTicksStyle|DefaultGridLinesStyle|DefaultLabelStyle|DefaultMenuStyle|DefaultTicksStyle|DefaultTooltipStyle|Degree|Delimiter|DigitCharacter|DocumentGeneratorInformation|DocumentGenerators|DotDashed|Dotted|DragAndDrop|E|EndOfBuffer|EndOfFile|EndOfLine|EndOfString|EulerGamma|Expression|False|Flat|FontProperties|Forward|ForwardBackward|Friday|Front|FrontEndDynamicExpression|Full|General|Generic|Glaisher|GoldenAngle|GoldenRatio|Gray|Green|Here|HexadecimalCharacter|HoldAll|HoldAllComplete|HoldFirst|HoldRest|HorizontalForm|I|Indeterminate|Inequality|Infinity|Inherited|InputToBoxFormPacket|Integer|Integers|InterpretTemplate|Italic|K|Khinchin|Large|Larger|Launch|Left|LetterCharacter|LightBlue|LightBrown|LightCyan|LightGray|LightGreen|LightMagenta|LightOrange|LightPink|LightPurple|LightRed|LightYellow|LinkOpen|LinkService|Listable|Listen|Locked|LongestMatch|Loopback|MachinePrecision|Magenta|Manual|MatchLocalNameQ|Medium|MeshCellCentroid|MeshCellMeasure|MeshCellQuality|Modular|Monday|NHoldAll|NHoldFirst|NHoldRest|NonAssociative|None|Nothing|Now|NoWhitespace|Null|Number|NumberString|NumericFunction|OneIdentity|Orange|Orderless|OutputMathEditExpression|ParentForm|Pi|Pink|Plain|Primes|Protected|PunctuationCharacter|Purple|Rational|Rationals|RawMedium|ReadProtected|Real|Reals|Record|Red|RepeatedString|ReturnInputFormPacket|Right|RuleCondition|RuleForm|Saturday|ScheduledTaskInformation|SequenceHold|Slot|Small|Smaller|Socket|SpanFromAbove|SpanFromBoth|SpanFromLeft|StartOfLine|StartOfString|String|Stub|Sunday|Temporary|Thick|Thin|ThisLink|Thursday|Tiny|Today|Tomorrow|TooBig|Top|Transparent|True|Tuesday|Undefined|Underlined|URLFetch|URLFetchAsynchronous|URLSave|URLSaveAsynchronous|ValueForm|VerticalForm|Wednesday|White|Whitespace|WhitespaceCharacter|Word|WordBoundary|WordCharacter|Yellow|Yesterday|\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\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tory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID\$Aborted|\$AllowDataUpdates|\$AllowDocumentationUpdates|\$AllowExternalChannelFunctions|\$AllowInternet|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BasePacletsDirectory|\$BatchInput|\$BatchOutput|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$Canceled|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudConnected|\$CloudCreditsAvailable|\$CloudEvaluation|\$CloudExpressionBase|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CommandLine|\$CompilationTarget|\$ConditionHold|\$ConfiguredKernels|\$Context|\$ContextPath|\$ControlActiveSetting|\$Cookies|\$CookieStore|\$CreationDate|\$CurrentLink|\$CurrentTask|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultNetworkInterface|\$DefaultPath|\$devTextSearchOutput|\$Display|\$DisplayFunction|\$DistributedContexts|\$DynamicEvaluation|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$EvaluationEnvironment|\$ExportFormats|\$Failed|\$FontFamilies|\$FormatType|\$FrontEnd|\$FrontEndSession|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTTPCookies|\$IgnoreEOF|\$ImageFormattingWidth|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDate|\$InstallationDirectory|\$InternetProxyRules|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$Line|\$Linked|\$LinkSupported|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessagePrePrint|\$MinMachineNumber|\$MinNumber|\$MinPrecision|\$MobilePhone|\$ModuleNumber|\$NetworkConnected|\$NetworkInterfaces|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$NumberOfExtraPages|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$PacletSite|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PersistenceBase|\$PersistencePath|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PreInitialization|\$PrePrint|\$PreRead|\$PrintForms|\$PrintLiteral|\$Printout3DPreviewer|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$PublisherID|\$RandomState|\$RecursionLimit|\$ReleaseNumber|\$RequesterAddress|\$RequesterWolframID|\$RequesterWolframUUID|\$RootDirectory|\$ScheduledTask|\$ScriptCommandLine|\$ScriptInputString|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SharedFunctions|\$SharedVariables|\$SoundDisplayFunction|\$SourceLink|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$SynchronousEvaluation|\$SyntaxHandler|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimedOut|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UnitSystem|\$Urgent|\$UserAgentString|\$UserBaseDirectory|\$UserBasePacletsDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID - built_in_numeric_constants: Catalan|Degree|E|EulerGamma|Glaisher|GoldenAngle|GoldenRatio|I|Khinchin|MachinePrecision|Pi functional_first_param: ActiveClassification|ActivePrediction|Apply|ApplySides|Array|ArrayFilter|AssociationMap|AsymptoticEqual|AsymptoticEquivalent|AsymptoticGreater|AsymptoticGreaterEqual|AsymptoticIntegrate|AsymptoticLess|AsymptoticLessEqual|AudioBlockMap|AudioSpectralMap|AudioSpectralTransformation|BayesianMaximization|BlockMap|Construct|Convolve|CountRoots|Curry|D|Default|DefaultValues|DensityPlot|DensityPlot3D|DifferenceDelta|DifferenceQuotient|DirichletConvolve|DiscreteConvolve|DiscreteRatio|DiscreteShift|DownValues|Dt|ExpectedValue|FileSystemMap|FileSystemScan|FixedPoint|FixedPointList|Fold|FoldList|FoldPair|FoldPairList|FormatValues|Grad|ImageApply|ImageApplyIndexed|ImageFileApply|ImageFileFilter|ImageFileScan|ImageFilter|ImageScan|Inactive|Inner|Integrate|InverseFunction|KeyMap|KeyValueMap|Laplacian|Map|MapAll|MapAt|MapIndexed|MapThread|MatrixFunction|MellinConvolve|MovingMap|Nest|NestGraph|NestList|NestWhile|NestWhileList|NIntegrate|NProduct|NSum|NValues|Outer|ParallelArray|ParallelCombine|ParallelMap|ParallelTry|Play|Product|RelationGraph|RootSum|SampledSoundFunction|Scan|SequenceFold|SequenceFoldList|Series|SliceContourPlot3D|SliceDensityPlot3D|SubValues|Sum|SumConvergence|SymmetricReduction|SyntaxInformation|ThreadingLayer|TimeSeriesMap|TimeSeriesMapThread|TimeSeriesThread|TraceScan|TransferFunctionTransform|UpValues|WaveletMapIndexed functional_last_param: CheckAll|CountDistinctBy|CountsBy|CreateManagedLibraryExpression|DeleteDuplicatesBy|FirstPassageTimeDistribution|KeySelect|KeySortBy|LengthWhile|Merge|PeriodicBoundaryCondition|SortBy|TakeWhile|TransformedRegion parametic_last_param: ArcLength|Area|ContinuedFractionK|ContourPlot|ContourPlot3D|DensityPlot|DensityPlot3D|DSolve|DSolveValue|FunctionInterpolation|Integrate|LineIntegralConvolutionPlot|LogLinearPlot|LogLogPlot|LogPlot|NDSolve|NDSolveValue|NIntegrate|NumberLinePlot|OutputResponse|ParametricNDSolveValue|ParametricPlot|ParametricPlot3D|Perimeter|Play|Plot|Plot3D|RegionPlot|RegionPlot3D|RevolutionPlot3D|RootLocusPlot|SliceContourPlot3D|SliceDensityPlot3D|SliceVectorPlot3D|StateResponse|StreamDensityPlot|StreamPlot|VectorDensityPlot|VectorPlot|VectorPlot3D|Volume @@ -33,7 +34,6 @@ variables: nb_code_styles: (Input) - contexts: main: @@ -76,11 +76,11 @@ contexts: literals: - match: (?:\d+\.?|\.\d)\d*\`{0,2} scope: constant.numeric.wolfram - - match: (?:System`)?\b({{built_in_numeric_constants}})\b + - match: (?:System`)?({{numeric_constants}})\b scope: constant.numeric.wolfram - - match: (?:System`)?\b({{built_in_constants}})\b + - match: (?:System`)?({{built_in_constants}})\b scope: constant.language.wolfram - - match: (?:System`)?\b({{built_in_options}})\b + - match: (?:System`)?({{built_in_options}})\b scope: variable.function.wolfram - match: \" scope: punctuation.definition.string.begin.wolfram @@ -189,7 +189,7 @@ contexts: scope: variable.function.wolfram variable: - - match: '(?:System`)?\b({{built_in_functions}})\b' + - match: '(?:System`)?({{built_in_functions}})\b' scope: variable.function.wolfram - match: '{{identifier}}' scope: variable.other.wolfram diff --git a/build/classify.wl b/build/classify.wl index d7969bc..5bd837e 100644 --- a/build/classify.wl +++ b/build/classify.wl @@ -4,44 +4,22 @@ << (NotebookDirectory[] <> "utilities.wl"); -(* ::Subsubsection::Closed:: *) -(*Usages*) +$dataset = Association[wl`documentedLists]; +AssociateTo[$dataset, "built_in_undocumented_symbols" -> wl`usageAbsentSymbols]; -Export[util`resolveFileName["usages.json"], wl`usageDictionary]; - - -(* ::Subsubsection::Closed:: *) -(*Completions*) - - -util`writeFile["../completions.sublime-completions", util`toJSON[{ - "scope" -> "source.wolfram", - "completions" -> Sort[StringReplace[StartOfString ~~ "$" -> ""] /@ wl`namespace] -}]]; - - -(* ::Subsubsection:: *) -(*Syntaxes*) - - -classify[usages_, rules_] := Last @ Reap[ - Function[usage, Sow[ - Keys[usage], - Piecewise[KeyValueMap[ - {#1, #2[Values[usage]]}&, - rules - ]] - ]] /@ usages, +classify[usages_, func_Function] := Last @ Reap[ + Sow[Keys[#], func[Values[#]]] & /@ usages, _String, Rule -] // (AssociateTo[$dataset, #]; #)&; - +] // (AssociateTo[$dataset, #]; #) &; -$dataset = <|"named_characters" -> wl`namedCharacters|>; +classify[usages_, rules_Association] := classify[usages, + Function[usage, Piecewise @ KeyValueMap[{#1, #2[usage]} &, rules]] +]; -classifiedNamespace = classify[wl`usageDictionary, <| +classifiedNamespace = classify[Keys[#] -> "Definition" /. Values[#] & /@ wl`usageDictionary, <| "built_in_functions" -> StringStartsQ["\!\(\*RowBox[{"], "built_in_options" -> StringContainsQ[RegularExpression["is an? (\\w+ )?option"]], "built_in_constants" -> (True &) @@ -49,51 +27,47 @@ classifiedNamespace = classify[wl`usageDictionary, <| getLines[name_] := Select[StringStartsQ[ - "\!\(\*RowBox[{" ~~ Repeated["\"", {0, 1}] ~~ name -]] @ StringCases[RegularExpression["(\!\(\*([^\)]+)\)|.)+"]] @ (name /. wl`usageDictionary); + "\!\(\*RowBox[{" ~~ ("\"" | "") ~~ name +]] @ StringCases[RegularExpression["(\!\(\*([^\)]+)\)|.)+"]][ + "Definition" /. (name /. wl`usageDictionary) +]; getArguments[usage_] := usage // - StringCases[#, RegularExpression["\!\(\*([^\)]+)\)"] -> "$1", 1]& + StringCases[#, RegularExpression["\!\(\*([^\)]+)\)"] -> "$1", 1]& // First // ToExpression // util`getAtomic[{1}] // - If[Length @ # <= 3, {}, getAtomic[#, {3, 1}]]& // - If[Head @ # === List, getAtomic[{1}] /@ Take[#, {1, -1, 2}], {#}]&; - -functionArguments = util`ruleMap[getArguments /@ getLines[#]&, "built_in_functions" /. classifiedNamespace]; - + If[Length[#] <= 3, {}, util`getAtomic[{3, 1}][#]]& // + If[ListQ[#], util`getAtomic[{1}] /@ Take[#, {1, -1, 2}], {#}]&; -testAll[crit_, sel_: Identity] := Length[#] > 0 && AllTrue[#, Length[#] > 0 && crit[sel[#]] &] &; +functionArguments = util`ruleMap[ + getArguments /@ getLines[#]&, + "built_in_functions" /. classifiedNamespace +]; -isFunctional[arg_] := arg === "f" || arg === "crit"; +testOne[crit_] := Length[#] > 0 && AllTrue[#, crit] &; +testAll[crit_, sel_: Identity] := testOne[Length[#] > 0 && crit[sel[#]] &]; +isFunctional[arg_] := arg === "f" || arg === "crit" || arg === "test"; classify[functionArguments, <| - "functional_rest_param" -> testAll[testAll[isFunctional], Rest], (* not found? *) "functional_first_param" -> testAll[isFunctional, First], "functional_last_param" -> testAll[isFunctional, Last] |>]; -isParametic[list_] := With[{sym = list[[1]][[1]]}, - StringLength[sym] === 1 && - MatchQ[Take[list, {3, -1, 2}], { - SubscriptBox[StyleBox[sym, "TI"], StyleBox["min", "TI"]], - SubscriptBox[StyleBox[sym, "TI"], StyleBox["max", "TI"]] - }] +classify[Keys[#] -> "LocalVariables" /. Values[#] & /@ wl`usageDictionary, + If[ListQ[#], + "local_variables_" <> With[{pos = #[[2]]}, + If[Length[pos] == 1, + "at_" <> ToString[pos[[1]]], + "from_" <> ToString[pos[[1]]] <> "_to_" <> ToString[pos[[2]]] + ] + ], + Null + ] & ]; -classify[functionArguments, <| - "parametic_rest_param" -> (testAll[testAll[isParametic]] @ Cases[ - Cases[#, args_?(Length[#] > 0 &) :> Last[args]], - args: {{"{", RowBox[{StyleBox[_String, "TI"], __}], "}"}..} :> (#[[2]][[1]] & /@ args) - ] &), - "parametic_last_param" -> (testAll[isParametic] @ Cases[ - Cases[#, args_?(Length[#] > 0 &) :> Last[args]], - {"{", RowBox[list: {StyleBox[_String, "TI"], __}], "}"} :> list - ] &) -|>]; - util`replaceFile["../WolframLanguage.sublime-syntax", KeyValueMap[RuleDelayed[ prefix: (#1 <> ":" ~~ Whitespace) ~~ (WordCharacter | "$" | "|").., diff --git a/build/symbols.wl b/build/symbols.wl index 16bfb21..f273433 100644 --- a/build/symbols.wl +++ b/build/symbols.wl @@ -7,31 +7,36 @@ Begin["wl`"]; namespace = Select[Names["System`*"], PrintableASCIIQ]; -namespaceSize = Length[namespace]; +Function[usages, + usageDictionary = Select[usages, Head["Definition" /. Values[#]] === String &]; + usagePresentSymbols = Keys @ usageDictionary; + usageAbsentSymbols = Complement[namespace, usagePresentSymbols]; +] @ util`ruleMap[Block[{symbol = Symbol[#]}, + Join[SyntaxInformation[symbol], { + "Definition" -> MessageName[Evaluate[symbol], "usage"], + "Attributes" -> Attributes[Evaluate[symbol]] + }] +] &, namespace]; -Monitor[Quiet[ - usages = Table[ - namespace[[i]] -> ToExpression[namespace[[i]] <> "::usage"], - {i, namespaceSize} - ], Message::name], - ProgressIndicator[i / namespaceSize] -]; +documentedLists = Keys[#] -> Values[#] /@ util`getGuideText[util`toCamel[Keys[#]]] & /@ { + "listing_of_named_characters" -> (StringTake[#, {3, -2}]&) @* util`getAtomic[{1, 1, -1, 1}], + "listing_of_supported_external_services" -> util`getAtomic[{1, 1, 1, 1, 1, 1, 1, 1, 1}], + "listing_of_all_formats" -> util`getAtomic[{1, 1, 1, 1, 1, 1, 1, 1, 1}] +}; -usageDictionary = Select[usages, Head[Values[#]] === String &]; -usageAbsentSymbols = Keys @ Select[usages, Head[Values[#]] =!= String &]; +DumpSave[NotebookDirectory[] <> "wldata.mx", "wl`"]; -namedCharacters = StringTake[getAtomic[#, {1, 1, -1, 1}], {3, -2}]& /@ Import[FileNameJoin[{ - $InstallationDirectory, - "Documentation", - $Language, - "System/Guides/ListingOfNamedCharacters.nb" -}], {"Cells", "GuideText"}]; +Export[util`resolveFileName["usages.json"], wl`usageDictionary]; -DumpSave[NotebookDirectory[] <> "wldata.mx", "wl`"]; + +util`writeFile["../completions.sublime-completions", util`toJSON[{ + "scope" -> "source.wolfram", + "completions" -> Sort[StringReplace[StartOfString ~~ "$" -> ""] /@ wl`namespace] +}]]; End[]; diff --git a/build/usages.json b/build/usages.json deleted file mode 100644 index f022679..0000000 --- a/build/usages.json +++ /dev/null @@ -1,5552 +0,0 @@ -{ - "AASTriangle":"RowBox[{\"AASTriangle\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] returns a filled triangle with angles StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and side length StyleBox[\"a\", \"TI\"], where StyleBox[\"a\", \"TI\"] is adjacent to one angle only.", - "AbelianGroup":"RowBox[{\"AbelianGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the direct product of the cyclic groups of degrees RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].", - "Abort":"RowBox[{\"Abort\", \"[\", \"]\"}] generates an interrupt to abort a computation. ", - "AbortKernels":"RowBox[{\"AbortKernels\", \"[\", \"]\"}] aborts evaluations running in all parallel subkernels.", - "AbortProtect":"RowBox[{\"AbortProtect\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], saving any aborts until the evaluation is complete. ", - "AbortScheduledTask":"RowBox[{\"AbortScheduledTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] interrupts any currently evaluating instances of the cloud task StyleBox[\"task\", \"TI\"].", - "Above":"Above is a symbol that represents the region above an object for purposes of placement.", - "Abs":"RowBox[{\"Abs\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the absolute value of the real or complex number StyleBox[\"z\", \"TI\"]. ", - "AbsArg":"RowBox[{\"AbsArg\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{\"Abs\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}], \",\", RowBox[{\"Arg\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \"}\"}] of the number StyleBox[\"z\", \"TI\"].", - "AbsoluteCorrelation":"RowBox[{\"AbsoluteCorrelation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the absolute correlation between the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"AbsoluteCorrelation\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the absolute correlation matrix for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"AbsoluteCorrelation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the absolute correlation matrix for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"AbsoluteCorrelation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the absolute correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"AbsoluteCorrelation\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] absolute correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"]. ", - "AbsoluteCorrelationFunction":"RowBox[{\"AbsoluteCorrelationFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the absolute correlation function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"AbsoluteCorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the absolute correlation function at lags StyleBox[\"hspec\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. \nRowBox[{\"AbsoluteCorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the absolute correlation function at times StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. ", - "AbsoluteCurrentValue":"RowBox[{\"AbsoluteCurrentValue\", \"[\", StyleBox[\"item\", \"TI\"], \"]\"}] gives the absolute current value of StyleBox[\"item\", \"TI\"] at a location in the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> {\"Mathematica\", \" system\"}] and interface. \nRowBox[{\"AbsoluteCurrentValue\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"item\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] gives the absolute current value for the feature of StyleBox[\"item\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"AbsoluteCurrentValue\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"item\", \"TI\"]}], \"]\"}] gives the absolute current value of StyleBox[\"item\", \"TI\"] associated with the object StyleBox[\"obj\", \"TI\"]. ", - "AbsoluteDashing":"RowBox[{\"AbsoluteDashing\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a graphics directive which specifies that lines which follow are to be drawn dashed, with successive segments having absolute lengths SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], … (repeated cyclically). \nRowBox[{\"AbsoluteDashing\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is equivalent to RowBox[{\"AbsoluteDashing\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}]. ", - "AbsoluteFileName":"RowBox[{\"AbsoluteFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the full absolute version of the name for a file in your filesystem.", - "AbsoluteOptions":"RowBox[{\"AbsoluteOptions\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the absolute settings of options specified in an expression such as a graphics object. \nRowBox[{\"AbsoluteOptions\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the absolute setting for the option StyleBox[\"name\", \"TI\"]. \nRowBox[{\"AbsoluteOptions\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the absolute settings for the options SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AbsoluteOptions\", \"[\", StyleBox[\"object\", \"TI\"], \"]\"}] gives the absolute settings for options associated with an external object such as a NotebookObject. ", - "AbsolutePointSize":"RowBox[{\"AbsolutePointSize\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is a graphics directive which specifies that points which follow are to be shown if possible as circular regions with absolute diameter StyleBox[\"d\", \"TI\"]. ", - "AbsoluteThickness":"RowBox[{\"AbsoluteThickness\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is a graphics directive which specifies that lines which follow are to be drawn with absolute thickness StyleBox[\"d\", \"TI\"]. ", - "AbsoluteTime":"RowBox[{\"AbsoluteTime\", \"[\", \"]\"}] gives the total number of seconds since the beginning of January 1, 1900, in your time zone.\nRowBox[{\"AbsoluteTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives the absolute time specification corresponding to a date list. \nRowBox[{\"AbsoluteTime\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the absolute time specification corresponding to a DateObject.\nRowBox[{\"AbsoluteTime\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the absolute time specification corresponding to a date string.\nRowBox[{\"AbsoluteTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] takes the date string to contain the elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".", - "AbsoluteTiming":"RowBox[{\"AbsoluteTiming\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], returning a list of the absolute number of seconds in real time that have elapsed, together with the result obtained. ", - "AccountingForm":"RowBox[{\"AccountingForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with all numbers in StyleBox[\"expr\", \"TI\"] given in standard accounting notation. \nRowBox[{\"AccountingForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with numbers given to StyleBox[\"n\", \"TI\"]‐digit precision. ", - "Accumulate":"RowBox[{\"Accumulate\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the successive accumulated totals of elements in StyleBox[\"list\", \"TI\"]. ", - "Accuracy":"RowBox[{\"Accuracy\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the effective number of digits to the right of the decimal point in the number StyleBox[\"x\", \"TI\"]. ", - "AccuracyGoal":"AccuracyGoal is an option for various numerical operations which specifies how many effective digits of accuracy should be sought in the final result. ", - "ActionMenu":"RowBox[{\"ActionMenu\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an action menu with label StyleBox[\"name\", \"TI\"] and with items labeled SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] that evaluates the expression SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] if the corresponding item is chosen.", - "ActionMenuBoxOptions":"RowBox[{ActionMenuBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ActionMenuBox.", - "Activate":"RowBox[{\"Activate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces all instances of RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] in StyleBox[\"expr\", \"TI\"] with StyleBox[\"f\", \"TI\"].\nRowBox[{\"Activate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] replaces only instances of RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] for which StyleBox[\"f\", \"TI\"] matches the pattern StyleBox[\"patt\", \"TI\"].", - "Active":"Active is an option for ButtonBox, Cell, and Notebook that specifies whether a button should be active. ", - "ActiveClassification":"RowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of active classification obtained by using the function StyleBox[\"f\", \"TI\"] to determine classes for the example configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] generates configurations within the region specified by StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] generates configurations by applying the function StyleBox[\"sampler\", \"TI\"].\nRowBox[{\"ActiveClassification\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from one of the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ActiveClassificationObject":"RowBox[{\"ActiveClassificationObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of an ActiveClassification process.", - "ActivePrediction":"RowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of active prediction obtained by using the function StyleBox[\"f\", \"TI\"] to determine values for the example configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] generates configurations within the region specified by StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] generates configurations by applying the function StyleBox[\"sampler\", \"TI\"].\nRowBox[{\"ActivePrediction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from one of the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ActivePredictionObject":"RowBox[{\"ActivePredictionObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of an ActivePrediction process.", - "ActiveStyle":"ActiveStyle is an option for Hyperlink and related constructs that specifies styles to add when the constructs are active, typically as a result of the mouse being over them. ", - "AcyclicGraphQ":"RowBox[{\"AcyclicGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is an acyclic graph and False otherwise.", - "AddOnHelpPath":"AddOnHelpPath is a global option that specifies which directories are searched for additional help files used within the help system.", - "AddSides":"RowBox[{\"AddSides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] adds StyleBox[\"x\", \"TI\"] to each side of the equation or inequality StyleBox[\"rel\", \"TI\"].\nRowBox[{\"AddSides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] adds the corresponding sides of two equations or inequalities.", - "AddTo":"RowBox[{StyleBox[\"x\", \"TI\"], \"+=\", StyleBox[\"dx\", \"TI\"]}] adds StyleBox[\"dx\", \"TI\"] to StyleBox[\"x\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", - "AddUsers":"RowBox[{\"AddUsers\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds the users SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"i\", \"TI\"]] to the permissions group StyleBox[\"group\", \"TI\"]. ", - "AdjacencyGraph":"RowBox[{\"AdjacencyGraph\", \"[\", StyleBox[\"amat\", \"TI\"], \"]\"}] gives the graph with adjacency matrix StyleBox[\"amat\", \"TI\"].\nRowBox[{\"AdjacencyGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"amat\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and adjacency matrix StyleBox[\"amat\", \"TI\"].", - "AdjacencyList":"RowBox[{\"AdjacencyList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a list of vertices adjacent to vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"AdjacencyList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of vertices adjacent to vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"AdjacencyList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives a list of vertices that are at distance at most StyleBox[\"d\", \"TI\"].\nRowBox[{\"AdjacencyList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "AdjacencyMatrix":"RowBox[{\"AdjacencyMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the vertex–vertex adjacency matrix of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"AdjacencyMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "AdjustmentBox":"RowBox[{AdjustmentBox, \"[\", RowBox[{StyleBox[\"box\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] is a low-level box construct which displays with the placement of StyleBox[\"box\", \"TI\"] adjusted using the options given. ", - "AdjustmentBoxOptions":"AdjustmentBoxOptions is an option that specifies settings for AdjustmentBox objects.", - "AdjustTimeSeriesForecast":"RowBox[{\"AdjustTimeSeriesForecast\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"forecast\", \"TI\"], \",\", StyleBox[\"newdata\", \"TI\"]}], \"]\"}] adjusts StyleBox[\"forecast\", \"TI\"] using new observations StyleBox[\"newdata\", \"TI\"] according to the time series model StyleBox[\"tproc\", \"TI\"].", - "AdministrativeDivisionData":"RowBox[{\"AdministrativeDivisionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the administrative division StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AdministrativeDivisionData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified administrative division names.\nRowBox[{\"AdministrativeDivisionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "AffineHalfSpace":"RowBox[{\"AffineHalfSpace\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"k\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents RowBox[{\"AffineSpace\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"k\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] extended in the direction StyleBox[\"w\", \"TI\"].\nRowBox[{\"AffineHalfSpace\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents RowBox[{\"AffineSpace\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] extended in the direction StyleBox[\"w\", \"TI\"].", - "AffineSpace":"RowBox[{\"AffineSpace\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"k\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] represents the affine space passing through the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AffineSpace\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the affine space passing through StyleBox[\"p\", \"TI\"] in the directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AffineStateSpaceModel":"RowBox[{\"AffineStateSpaceModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] represents the affine state-space model RowBox[{RowBox[{RowBox[{\"x\", \"'\"}], RowBox[{\"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \".\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}]}]}], RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"=\", RowBox[{RowBox[{\"c\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \"+\", RowBox[{RowBox[{\"d\", \"(\", RowBox[{\"x\", \"(\", \"t\", \")\"}], \")\"}], \".\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}]}]}].\nRowBox[{\"AffineStateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives an affine state-space model corresponding to the system model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"AffineStateSpaceModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the affine state-space model obtained by Taylor input linearization about the dependent variable SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] at SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]]] and input SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]] at SubscriptBox[SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]], StyleBox[\"0\", \"TR\"]] of the differential equations StyleBox[\"eqns\", \"TI\"] with outputs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] and independent variable StyleBox[\"t\", \"TI\"].", - "AffineTransform":"RowBox[{\"AffineTransform\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a TransformationFunction that represents an affine transform that maps StyleBox[\"r\", \"TI\"] to RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}]. \nRowBox[{\"AffineTransform\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives an affine transform that maps StyleBox[\"r\", \"TI\"] to RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"v\", \"TI\"]}].", - "After":"After is a symbol that represents the region after an object for purposes of placement.", - "AggregationLayer":"RowBox[{\"AggregationLayer\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents a layer that aggregates a tensor of arbitrary rank into a vector, using the function StyleBox[\"f\", \"TI\"].\nRowBox[{\"AggregationLayer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] aggregates a tensor at level StyleBox[\"n\", \"TI\"].\nRowBox[{\"AggregationLayer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] aggregates a tensor at levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"AggregationLayer\", \"[\", StyleBox[RowBox[{\"f\", \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"TI\"], \"]\"}] aggregates a tensor at levels RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].", - "AircraftData":"RowBox[{\"AircraftData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the aircraft StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AircraftData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified aircraft entities.\nRowBox[{\"AircraftData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "AirportData":"RowBox[{\"AirportData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the airport StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AirportData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified airport entities.\nRowBox[{\"AirportData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "AirPressureData":"RowBox[{\"AirPressureData\", \"[\", \"]\"}] gives the most recent measurement for air pressure near the current location.\nRowBox[{\"AirPressureData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the air pressure value for the specified time near the current location.\nRowBox[{\"AirPressureData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for air pressure near the specified locations.\nRowBox[{\"AirPressureData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"AirPressureData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", - "AirTemperatureData":"RowBox[{\"AirTemperatureData\", \"[\", \"]\"}] gives the most recent measurement for air temperature near the current location.\nRowBox[{\"AirTemperatureData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the air temperature value for the specified time near the current location.\nRowBox[{\"AirTemperatureData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for air temperature near the specified location.\nRowBox[{\"AirTemperatureData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"AirTemperatureData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", - "AiryAi":"RowBox[{\"AiryAi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Airy function RowBox[{\"Ai\", \"(\", \"z\", \")\"}]. ", - "AiryAiPrime":"RowBox[{\"AiryAiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Airy function RowBox[{SuperscriptBox[\"Ai\", \"′\"], \"(\", \"z\", \")\"}]. ", - "AiryAiZero":"RowBox[{\"AiryAiZero\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Airy function RowBox[{\"Ai\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"AiryAiZero\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero less than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "AiryBi":"RowBox[{\"AiryBi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Airy function RowBox[{\"Bi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "AiryBiPrime":"RowBox[{\"AiryBiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Airy function RowBox[{SuperscriptBox[\"Bi\", \"′\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "AiryBiZero":"RowBox[{\"AiryBiZero\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Airy function RowBox[{\"Bi\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"AiryBiZero\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero less than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "AlgebraicIntegerQ":"RowBox[{\"AlgebraicIntegerQ\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] yields True if StyleBox[\"a\", \"TI\"] is an algebraic integer, and yields False otherwise.", - "AlgebraicNumber":"RowBox[{\"AlgebraicNumber\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the algebraic number in the field RowBox[{\"\", \"[\", \"θ\", \"]\"}] given by RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], \"0\"], \"+\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], \"1\"], \"θ\"}], \" \", \"+\", \"…\", \"+\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SuperscriptBox[\"θ\", StyleBox[\"n\", \"TI\"]]}]}].", - "AlgebraicNumberDenominator":"RowBox[{\"AlgebraicNumberDenominator\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the smallest positive integer StyleBox[\"n\", \"TI\"] such that RowBox[{StyleBox[\"n\", \"TI\"], \" \", StyleBox[\"a\", \"TI\"]}] is an algebraic integer.", - "AlgebraicNumberNorm":"RowBox[{\"AlgebraicNumberNorm\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the norm of the algebraic number StyleBox[\"a\", \"TI\"].", - "AlgebraicNumberPolynomial":"RowBox[{\"AlgebraicNumberPolynomial\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the polynomial in StyleBox[\"x\", \"TI\"] corresponding to the AlgebraicNumber object StyleBox[\"a\", \"TI\"].", - "AlgebraicNumberTrace":"RowBox[{\"AlgebraicNumberTrace\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the trace of the algebraic number StyleBox[\"a\", \"TI\"].", - "AlgebraicRulesData":"AlgebraicRulesData is an object returned by AlgebraicRules. Its OutputForm appears to be a list of rules, but the rules will be used algebraically rather than syntactically by Replace and related functions.", - "Algebraics":"Algebraics represents the domain of algebraic numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Algebraics\"}]. ", - "AlgebraicUnitQ":"RowBox[{\"AlgebraicUnitQ\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] yields True if StyleBox[\"a\", \"TI\"] is an algebraic unit, and yields False otherwise.", - "Alignment":"Alignment is an option which specifies how the contents of a displayed object should be aligned within the available area in the object.", - "AlignmentPoint":"AlignmentPoint is an option which specifies how objects should by default be aligned when they appear in Inset.", - "All":"All is a setting used for certain options. In Part and related functions, All specifies all parts at a particular level. ", - "AllowedCloudExtraParameters":"AllowedCloudExtraParameters is an option for APIFunction and related functions that specifies whether parameters that affect overall cloud execution should be accepted.", - "AllowedCloudParameterExtensions":"AllowedCloudParameterExtensions is an option for APIFunction and related functions that specifies what extensions to allow for API or other input parameters.", - "AllowedDimensions":"AllowedDimensions is an option for Grid and related functions that specifies the allowed minimum and maximum dimensions of the Grid under interactive editing.", - "AllowGroupClose":"AllowGroupClose is an option for Cell that specifies whether a cell group can be closed normally.", - "AllowInlineCells":"AllowInlineCells is an option for SelectedCells, Cell, and related constructs that specifies whether inline cells are permitted.", - "AllowLooseGrammar":"AllowLooseGrammar is an option for GrammarRules and related functions that specifies whether grammatical \"fluff\" should automatically be ignored in applying grammar rules.", - "AllowReverseGroupClose":"AllowReverseGroupClose is an option for Cell that specifies whether a cell group can be reverse closed.", - "AllowScriptLevelChange":"AllowScriptLevelChange is an option for fractions and grids that controls whether certain operators, such as ∑, ∏, and ∫, always appear smaller than normal size.", - "AllTrue":"RowBox[{\"AllTrue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] yields True if RowBox[{StyleBox[\"test\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True for all of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AllTrue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] tests parts of StyleBox[\"expr\", \"TI\"] at level StyleBox[\"level\", \"TI\"].\nRowBox[{\"AllTrue\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents an operator form of AllTrue that can be applied to an expression.", - "Alphabet":"RowBox[{\"Alphabet\", \"[\", \"]\"}] gives a list of the lowercase letters a through z in the English alphabet.\nRowBox[{\"Alphabet\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] gives the alphabet for the language or class StyleBox[\"type\", \"TI\"].\nRowBox[{\"Alphabet\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the alphabet defined by StyleBox[\"prop\", \"TI\"] for the language or class StyleBox[RowBox[{\"type\", \" \"}], \"TI\"].", - "AlphabeticOrder":"RowBox[{\"AlphabeticOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives 1 if \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"1\", \"TR\"]]\" appears before \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"2\", \"TR\"]]\" in alphabetical order, -1 if it is after, and 0 if it is identical. \nRowBox[{\"AlphabeticOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] uses an ordering suitable for the language StyleBox[\"lang\", \"TI\"].\nRowBox[{\"AlphabeticOrder\", \"[\", StyleBox[\"lang\", \"TI\"], \"]\"}] represents an operator form that compares strings when applied to \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"1\", \"TR\"]]\", \"SubscriptBox[\nStyleBox[\"string\", \"TI\"], \nStyleBox[\"2\", \"TR\"]]\".", - "AlphabeticSort":"RowBox[{\"AlphabeticSort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into alphabetical order.\nRowBox[{\"AlphabeticSort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] sorts using an ordering suitable for the language StyleBox[\"lang\", \"TI\"].", - "AlphaChannel":"RowBox[{\"AlphaChannel\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns the alpha channel of StyleBox[\"image\", \"TI\"].", - "AlternateImage":"AlternateImage is an option to CDFInformation that specifies an image that should be used if the plugin is not available.", - "AlternatingFactorial":"RowBox[{\"AlternatingFactorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the alternating factorial RowBox[{StyleBox[\"a\", \"TI\"], \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", - "AlternatingGroup":"RowBox[{\"AlternatingGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the alternating group of degree StyleBox[\"n\", \"TI\"].", - "AlternativeHypothesis":"AlternativeHypothesis is an option for hypothesis testing functions like LocationTest that specifies the alternative hypothesis.", - "Alternatives":"RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"]}] is a pattern object that represents any of the patterns SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "AltitudeMethod":"AltitudeMethod is an option for SunPosition, MoonPosition, and related functions that determines whether to take atmospheric refraction into account when computing altitude.", - "AmbientLight":"AmbientLight is an option for Graphics3D and related functions that gives the level of simulated ambient illumination in a three-dimensional picture. ", - "AmbiguityFunction":"AmbiguityFunction is an option for SemanticInterpretation, Interpreter, and related functions that specifies how to resolve ambiguities generated during semantic interpretation.", - "AmbiguityList":"RowBox[{\"AmbiguityList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents possible results derived from an ambiguous semantic interpretation.\nRowBox[{\"AmbiguityList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents possible results from semantic interpretation of an input string.\nRowBox[{\"AmbiguityList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes a sequence of associations giving details of the interpretations used to obtain the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Analytic":"Analytic is an option for Limit and Series. With RowBox[{\"Analytic\", \" \", \"->\", \" \", \"True\"}], unrecognized functions are treated as analytic, and processed using Taylor series expansions; with RowBox[{\"Analytic\", \" \", \"->\", \" \", \"False\"}], Taylor series are not used unless the function is recognized as analytic.", - "AnatomyData":"RowBox[{\"AnatomyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the anatomical structure StyleBox[\"entity\", \"TI\"].\nRowBox[{\"AnatomyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified anatomical structure entities.\nRowBox[{\"AnatomyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "AnatomyForm":"RowBox[{\"AnatomyForm\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] is a graphics directive used in AnatomyPlot3D that specifies how anatomy entity‐based graphics objects are to be drawn using the graphics directive or association of directives StyleBox[\"g\", \"TI\"].", - "AnatomyPlot3D":"RowBox[{\"AnatomyPlot3D\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a three-dimensional graphical image that works with anatomical entities as well as standard 3D graphics primitives and directives.", - "AnchoredSearch":"AnchoredSearch is an option for Find and FindList that specifies whether the text searched for must be at the beginning of a record. ", - "And":"RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"&&\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"&&\", StyleBox[\"…\", \"TR\"]}] is the logical AND function. It evaluates its arguments in order, giving False immediately if any of them are False, and True if they are all True. ", - "AndersonDarlingTest":"RowBox[{\"AndersonDarlingTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Anderson–Darling test.\nRowBox[{\"AndersonDarlingTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Anderson–Darling test.\nRowBox[{\"AndersonDarlingTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "AngerJ":"RowBox[{\"AngerJ\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Anger function SubscriptBox[StyleBox[\"J\", \"TI\"], StyleBox[\"v\", \"TI\"]]RowBox[{\"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"AngerJ\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the associated Anger function RowBox[{SubsuperscriptBox[StyleBox[\"J\", \"TI\"], \"ν\", \"μ\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "AngleBracket":"RowBox[{\"AngleBracket\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"〈\", RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"〉\"}].", - "AnglePath":"RowBox[{\"AnglePath\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the list of 2D coordinates corresponding to a path that starts at RowBox[{\"{\", RowBox[{\"0\", \",\", \"0\"}], \"}\"}], then takes a series of steps of unit length at successive relative angles SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnglePath\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes successive steps of lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnglePath\", \"[\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts at angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]] with respect to the x axis.\nRowBox[{\"AnglePath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts at the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] with initial angle 0 with respect to the x axis.\nRowBox[{\"AnglePath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] with initial angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"0\", \"TR\"]] with respect to the x axis.\nRowBox[{\"AnglePath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the first step to go from RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"+\", StyleBox[\"dx\", \"TI\"]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"+\", StyleBox[\"dy\", \"TI\"]}]}], \"}\"}].\nRowBox[{\"AnglePath\", \"[\", RowBox[{StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns at each step the data of the form specified by StyleBox[\"form\", \"TI\"].", - "AnglePath3D":"RowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the list of 3D coordinates of a path of an object that starts at RowBox[{\"{\", RowBox[{\"0\", \",\", \"0\", \",\", \"0\"}], \"}\"}], then takes a series of steps of unit length, each in the direction of the x axis obtained after successive rotation of the object by the Euler angles SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] assumes the Euler angles SubscriptBox[StyleBox[\"γ\", \"TR\"], StyleBox[\"i\", \"TI\"]] to be 0.\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"mat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"mat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes the successive rotations to be specified by the 3D rotation matrices SubscriptBox[StyleBox[\"mat\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnglePath3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes successive steps of length SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] with Euler angles or rotation matrices specified by SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"]}], \"]\"}] starts at the point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{RowBox[{\"{\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"]}], \"]\"}] starts in the x axis direction specified by rotating the object according to Euler angles or rotation matrix SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"]}], \"]\"}] starts at point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}] with the x axis direction specified by SubscriptBox[StyleBox[\"rot\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"AnglePath3D\", \"[\", RowBox[{StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns at each step the data of the form specified by StyleBox[\"form\", \"TI\"].", - "AngleVector":"RowBox[{\"AngleVector\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives the list representing the 2D unit vector at angle StyleBox[\"θ\", \"TR\"] relative to the StyleBox[\"x\", \"TI\"] axis.\nRowBox[{\"AngleVector\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}], \"]\"}] gives the list representing the 2D vector of length StyleBox[\"r\", \"TI\"] at angle StyleBox[\"θ\", \"TR\"].\nRowBox[{\"AngleVector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] gives the result of starting from the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], then going a unit distance at angle StyleBox[\"θ\", \"TR\"].\nRowBox[{\"AngleVector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the result of starting from the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], then going distance StyleBox[\"r\", \"TI\"] at angle StyleBox[\"θ\", \"TR\"].", - "AngularGauge":"RowBox[{\"AngularGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a gauge showing StyleBox[\"value\", \"TI\"] in the range 0 to 1.\nRowBox[{\"AngularGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a gauge showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"AngularGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the gauge.\nRowBox[{\"AngularGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a gauge showing multiple values.", - "Animate":"RowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates an animation of StyleBox[\"expr\", \"TI\"] in which StyleBox[\"u\", \"TI\"] varies continuously from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] takes StyleBox[\"u\", \"TI\"] to vary in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] take on discrete values SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Animate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] varies all the variables StyleBox[\"u\", \"TI\"], StyleBox[\"v\", \"TI\"], …. ", - "AnimationCycleOffset":"AnimationCycleOffset is an option for cells that specifies the relative position of the next graphic to be used in an animation sequence.", - "AnimationCycleRepetitions":"AnimationCycleRepetitions is an option for cells that specifies the number of times a given animation cycle should be repeated.", - "AnimationDirection":"AnimationDirection is an option which specifies the direction to run an animation. ", - "AnimationDisplayTime":"AnimationDisplayTime is an option for Cell that specifies the minimum time in seconds for which a cell should be displayed in the course of an animation that runs through a sequence of selected cells. ", - "AnimationRate":"AnimationRate is an option for Animate and Animator that specifies at what rate an animation should run, in units per second. ", - "AnimationRepetitions":"AnimationRepetitions is an option to Animate and related functions that specifies how many times the animation they create runs before stopping.", - "AnimationRunning":"AnimationRunning is an option to Animate and related functions that specifies whether the animation they create is running.", - "AnimationRunTime":"AnimationRunTime is an option to Animator and related functions that indicates how long the animation has been continuously running.", - "AnimationTimeIndex":"AnimationTimeIndex is an option to Animator and related functions that specifies the current time index for the animator.", - "Animator":"RowBox[{\"Animator\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}] represents an object that displays with the value of StyleBox[\"u\", \"TI\"] being continually increased from 0 to 1 with time. \nRowBox[{\"Animator\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Animator\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"Animator\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"ups\", \"TI\"]}], \"]\"}] makes the value of StyleBox[\"u\", \"TI\"] increase at a rate of StyleBox[\"ups\", \"TI\"] units per second. ", - "AnimatorBoxOptions":"RowBox[{AnimatorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for AnimatorBox objects.", - "Annotation":"RowBox[{\"Annotation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents an expression StyleBox[\"expr\", \"TI\"], with annotation StyleBox[\"data\", \"TI\"].\nRowBox[{\"Annotation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] specifies the type of annotation being given.", - "Annuity":"RowBox[{\"Annuity\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an annuity of fixed payments StyleBox[\"p\", \"TI\"] made over StyleBox[\"t\", \"TI\"] periods.\nRowBox[{\"Annuity\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] represents a series of payments occurring at time intervals StyleBox[\"q\", \"TI\"].\nRowBox[{\"Annuity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"initial\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"final\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents an annuity with the specified initial and final payments.", - "AnnuityDue":"RowBox[{\"AnnuityDue\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an annuity due of fixed payments StyleBox[\"p\", \"TI\"] made over StyleBox[\"t\", \"TI\"] periods.\nRowBox[{\"AnnuityDue\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] represents a series of payments occurring at time intervals StyleBox[\"q\", \"TI\"].\nRowBox[{\"AnnuityDue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"initial\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"final\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents an annuity due with the specified initial and final payments.", - "Annulus":"RowBox[{\"Annulus\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an annulus centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] with inner radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]] and outer radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]].\nRowBox[{\"Annulus\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents an annulus from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "Anonymous":"Anonymous represents an option or other value that indicates the absence of a name.", - "Antialiasing":"Antialiasing is an option that specifies whether antialiasing should be done.", - "AntihermitianMatrixQ":"RowBox[{\"AntihermitianMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly antihermitian, and False otherwise.", - "Antisymmetric":"RowBox[{\"Antisymmetric\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the symmetry of a tensor that is antisymmetric in the slots SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AntisymmetricMatrixQ":"RowBox[{\"AntisymmetricMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly antisymmetric, and False otherwise.", - "AnyOrder":"RowBox[{\"AnyOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a grammar rules pattern object that represents a sequence of elements matching SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in any order.", - "AnySubset":"RowBox[{\"AnySubset\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an element in an interpreter or form that accepts any subset of the choices SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"AnySubset\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lab\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lab\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] accepts any subset of the SubscriptBox[StyleBox[\"lab\", \"TI\"], StyleBox[\"i\", \"TI\"]], yielding the corresponding SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] as results.\nRowBox[{\"AnySubset\", \"[\", RowBox[{\"EntityClass\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}], \"]\"}] accepts any subset of the entities in the specified entity class.\nRowBox[{\"AnySubset\", \"[\", RowBox[{StyleBox[\"choices\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] allows at most StyleBox[\"max\", \"TI\"] choices to be selected.\nRowBox[{\"AnySubset\", \"[\", RowBox[{StyleBox[\"choices\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]}], \"]\"}] allows at least StyleBox[\"min\", \"TI\"] and at most StyleBox[\"max\", \"TI\"] choices to be selected.", - "AnyTrue":"RowBox[{\"AnyTrue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] yields True if RowBox[{StyleBox[\"test\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True for any of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"AnyTrue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] tests parts of StyleBox[\"expr\", \"TI\"] at level StyleBox[\"level\", \"TI\"].\nRowBox[{\"AnyTrue\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents an operator form of AnyTrue that can be applied to an expression.", - "Apart":"RowBox[{\"Apart\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] rewrites a rational expression as a sum of terms with minimal denominators. \nRowBox[{\"Apart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] treats all variables other than StyleBox[\"var\", \"TI\"] as constants. ", - "ApartSquareFree":"RowBox[{\"ApartSquareFree\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] rewrites a rational expression as a sum of terms whose denominators are powers of square-free polynomials. \nRowBox[{\"ApartSquareFree\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] treats all variables other than StyleBox[\"var\", \"TI\"] as constants. ", - "APIFunction":"RowBox[{\"APIFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] represents an API with parameters SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] that evaluates the function StyleBox[\"fun\", \"TI\"] whenever it is called. The function StyleBox[\"fun\", \"TI\"] is applied to RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], where the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the settings for the parameters, interpreted as being of types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"APIFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] takes the value of the parameter SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] to be SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"i\", \"TI\"]] if it is not specified when the API is called.\nRowBox[{\"APIFunction\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that the result from applying StyleBox[\"fun\", \"TI\"] should be returned in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"APIFunction\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the result should be returned as a response of the form StyleBox[\"rform\", \"TI\"].\nRowBox[{\"APIFunction\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"], \",\", StyleBox[\"failfmt\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that in the event of failure, the result should be returned in format StyleBox[\"failfmt\", \"TI\"].", - "Appearance":"Appearance is an option for displayed objects such as Button and Slider that specifies the general type of appearance they should have. ", - "AppearanceElements":"AppearanceElements is an option for functions like Manipulate that specifies what elements should be included in the displayed form of the object generated.", - "AppearanceRules":"AppearanceRules is an option for form and page generation functions that specifies the overall appearance of the generated object.", - "AppellF1":"RowBox[{\"AppellF1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the Appell hypergeometric function of two variables RowBox[{SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"2\"], \";\", StyleBox[\"c\", \"TI\"], \";\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \")\"}]}]. ", - "Append":"RowBox[{\"Append\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with StyleBox[\"elem\", \"TI\"] appended. \nRowBox[{\"Append\", \"[\", StyleBox[\"elem\", \"TI\"], \"]\"}] represents an operator form of Append that can be applied to an expression.", - "AppendLayer":"RowBox[{\"AppendLayer\", \"[\", \"]\"}] represents a net layer that takes an input tensor and appends another tensor to it.", - "AppendTo":"RowBox[{\"AppendTo\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] appends StyleBox[\"elem\", \"TI\"] to the value of StyleBox[\"s\", \"TI\"], and resets StyleBox[\"s\", \"TI\"] to the result. ", - "Apply":"RowBox[{\"Apply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"@@\", StyleBox[\"expr\", \"TI\"]}] replaces the head of StyleBox[\"expr\", \"TI\"] by StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Apply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", \"1\", \"}\"}]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"@@@\", StyleBox[\"expr\", \"TI\"]}] replaces heads at level 1 of StyleBox[\"expr\", \"TI\"] by StyleBox[\"f\", \"TI\"].\nRowBox[{\"Apply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] replaces heads in parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Apply\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Apply that can be applied to an expression.", - "ApplySides":"RowBox[{\"ApplySides\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"rel\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to each side of the equation or inequality StyleBox[\"rel\", \"TI\"].", - "ArcCos":"RowBox[{\"ArcCos\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc cosine RowBox[{SuperscriptBox[\"cos\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", - "ArcCosh":"RowBox[{\"ArcCosh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic cosine RowBox[{SuperscriptBox[\"cosh\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", - "ArcCot":"RowBox[{\"ArcCot\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc cotangent RowBox[{SuperscriptBox[\"cot\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", - "ArcCoth":"RowBox[{\"ArcCoth\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic cotangent RowBox[{SuperscriptBox[\"coth\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", - "ArcCsc":"RowBox[{\"ArcCsc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc cosecant RowBox[{SuperscriptBox[\"csc\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", - "ArcCsch":"RowBox[{\"ArcCsch\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic cosecant RowBox[{SuperscriptBox[\"csch\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", - "ArcCurvature":"RowBox[{\"ArcCurvature\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the curvature of the parametrized curve whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"t\", \"TI\"].\nRowBox[{\"ArcCurvature\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", - "ARCHProcess":"RowBox[{\"ARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an autoregressive conditionally heteroscedastic process of order StyleBox[\"q\", \"TI\"], driven by a standard white noise.\nRowBox[{\"ARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an ARCH process with initial data StyleBox[\"init\", \"TI\"].", - "ArcLength":"RowBox[{\"ArcLength\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the length of the one-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ArcLength\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the length of the parametrized curve whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"t\", \"TI\"].\nRowBox[{\"ArcLength\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", - "ArcSec":"RowBox[{\"ArcSec\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc secant RowBox[{SuperscriptBox[\"sec\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", - "ArcSech":"RowBox[{\"ArcSech\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic secant RowBox[{SuperscriptBox[\"sech\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", - "ArcSin":"RowBox[{\"ArcSin\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc sine RowBox[{SuperscriptBox[\"sin\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", - "ArcSinDistribution":"RowBox[{\"ArcSinDistribution\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"TI\"]}], \"}\"}], \"]\"}] represents the arc sine distribution supported between StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"TI\"] and StyleBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"TI\"].\nRowBox[{\"ArcSinDistribution\", \"[\", \"]\"}] represents the arc sine distribution supported between zero and one.", - "ArcSinh":"RowBox[{\"ArcSinh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic sine RowBox[{SuperscriptBox[\"sinh\", RowBox[{\"-\", \"1\"}]], \"(\", \"z\", \")\"}] of the complex number z. ", - "ArcTan":"RowBox[{\"ArcTan\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the arc tangent RowBox[{SuperscriptBox[\"tan\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. \nRowBox[{\"ArcTan\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the arc tangent of FractionBox[StyleBox[\"y\", \"TI\"], StyleBox[\"x\", \"TI\"]], taking into account which quadrant the point RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \")\"}] is in. ", - "ArcTanh":"RowBox[{\"ArcTanh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse hyperbolic tangent RowBox[{SuperscriptBox[\"tanh\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] of the complex number StyleBox[\"z\", \"TI\"]. ", - "Area":"RowBox[{\"Area\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the area of the two-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Area\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the area of the parametrized surface whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"].\nRowBox[{\"Area\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", - "Arg":"RowBox[{\"Arg\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the argument of the complex number StyleBox[\"z\", \"TI\"]. ", - "ArgMax":"RowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is maximized.\nRowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is maximized.\nRowBox[{\"ArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is maximized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ArgMax\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", - "ArgMin":"RowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is minimized.\nRowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is minimized.\nRowBox[{\"ArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is minimized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ArgMin\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", - "ArgumentCountQ":"RowBox[{\"ArgumentCountQ\", \"[\", RowBox[{StyleBox[\"head\", \"TI\"], \",\", \" \", StyleBox[\"len\", \"TI\"], \",\", \" \", StyleBox[\"min\", \"TI\"], \",\", \" \", StyleBox[\"max\", \"TI\"]}], \"]\"}] tests whether the number StyleBox[\"len\", \"TI\"] of arguments of a function StyleBox[\"head\", \"TI\"] is between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"].\nRowBox[{\"ArgumentCountQ\", \"[\", RowBox[{StyleBox[\"head\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"TR\"], SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TR\"]]}], \"}\"}]}], \"]\"}] tests whether the number StyleBox[\"len\", \"TI\"] of arguments of a function StyleBox[\"head\", \"TI\"] is one of the SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ARIMAProcess":"RowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents an autoregressive integrated moving-average process RowBox[{\"y\", \"(\", \"t\", \")\"}] such that its StyleBox[\"d\", \"TI\"]SuperscriptBox[\"\", \"th\"] difference is a weakly stationary RowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}].\nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector ARIMA process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector weakly stationary ARMAProcess.\nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector ARIMA process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector weakly stationary ARMAProcess.\nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an ARIMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"ARIMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an ARIMA process with a constant StyleBox[\"c\", \"TI\"].", - "ArithmeticGeometricMean":"RowBox[{\"ArithmeticGeometricMean\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the arithmetic‐geometric mean of StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. ", - "ARMAProcess":"RowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a weakly stationary autoregressive moving-average process with AR coefficients SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], MA coefficients SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]], and normal white noise variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a weakly stationary vector ARMA process with coefficient matrices SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]] and covariance matrix StyleBox[\"Σ\", \"TR\"]. \nRowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an ARMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"ARMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an ARMA process with a constant StyleBox[\"c\", \"TI\"].", - "ARProcess":"RowBox[{\"ARProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a weakly stationary autoregressive process of order StyleBox[\"p\", \"TI\"] with normal white noise variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"ARProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a weakly stationary vector AR process with multinormal white noise covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"ARProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an AR process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"ARProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"]\", \"TR\"]}] represents an AR process with a constant StyleBox[\"c\", \"TI\"].", - "Array":"RowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of length StyleBox[\"n\", \"TI\"], with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}]. \nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] generates a list using the index origin StyleBox[\"r\", \"TI\"].\nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] generates a list using StyleBox[\"n\", \"TI\"] values from StyleBox[\"a\", \"TI\"] to StyleBox[\"b\", \"TI\"].\nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of nested lists, with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]. \nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a list using the index origins SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] (default 1). \nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a list using SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] values from SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Array\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"origin\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] uses head StyleBox[\"h\", \"TI\"], rather than List, for each level of the array. ", - "ArrayComponents":"RowBox[{\"ArrayComponents\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] gives an array in which all identical elements of StyleBox[\"array\", \"TI\"] are replaced by an integer index representing the component in which the element lies.\nRowBox[{\"ArrayComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] finds the identical elements at the specified level in StyleBox[\"array\", \"TI\"]\nRowBox[{\"ArrayComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] uses a rule or a list of rules for specifying the labels.", - "ArrayDepth":"RowBox[{\"ArrayDepth\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the depth to which StyleBox[\"expr\", \"TI\"] is a full array, with all the parts at a particular level being lists of the same length, or is a SparseArray object. ", - "ArrayFilter":"RowBox[{\"ArrayFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to all range-StyleBox[\"r\", \"TI\"] blocks in the specified array.\nRowBox[{\"ArrayFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to blocks with ranges SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{\"ArrayFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"template\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] over blocks specified by the position of 1s in the array StyleBox[\"template\", \"TI\"].", - "ArrayFlatten":"RowBox[{\"ArrayFlatten\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a single flattened matrix from a matrix of matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[RowBox[{\"i\", \"\", \"j\"}], \"TI\"]]. \nRowBox[{\"ArrayFlatten\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] flattens out StyleBox[\"r\", \"TI\"] pairs of levels in the array StyleBox[\"a\", \"TI\"].", - "ArrayMesh":"RowBox[{\"ArrayMesh\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a mesh region from an array of rank StyleBox[\"d\", \"TI\"] in which each cell has a geometric dimension StyleBox[\"d\", \"TI\"] and represents a nonzero value of the array.", - "ArrayPad":"RowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives an array with StyleBox[\"m\", \"TI\"] 0s of padding on every side. \nRowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] uses the specified padding.\nRowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads with StyleBox[\"m\", \"TI\"] elements at the beginning and StyleBox[\"n\", \"TI\"] elements at the end. \nRowBox[{\"ArrayPad\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads with SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements at level StyleBox[\"i\", \"TI\"] in StyleBox[\"array\", \"TI\"]. ", - "ArrayPlot":"RowBox[{\"ArrayPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a plot in which the values in an array are shown in a discrete array of squares. ", - "ArrayQ":"RowBox[{\"ArrayQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a full array or a SparseArray object, and gives False otherwise. \nRowBox[{\"ArrayQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] requires StyleBox[\"expr\", \"TI\"] to be a full array with a depth that matches the pattern StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"ArrayQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] requires also that StyleBox[\"test\", \"TI\"] yield True when applied to each of the array elements in StyleBox[\"expr\", \"TI\"]. ", - "ArrayResample":"RowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resamples StyleBox[\"array\", \"TI\"] to have dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"dspec\", \"TI\"]}], \"]\"}] resamples StyleBox[\"array\", \"TI\"] according to the dimension specification StyleBox[\"dspec\", \"TI\"].\nRowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"scheme\", \"TI\"]}], \"]\"}] specifies resampling StyleBox[\"scheme\", \"TI\"], either point or bin based. \nRowBox[{\"ArrayResample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"scheme\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resamples only the data in the specified subrange RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "ArrayReshape":"RowBox[{\"ArrayReshape\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"]}], \"]\"}] arranges the elements of StyleBox[\"list\", \"TI\"] into a rectangular array with dimensions StyleBox[\"dims\", \"TI\"].\nRowBox[{\"ArrayReshape\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] uses the specified padding if StyleBox[\"list\", \"TI\"] does not contain enough elements.", - "ArrayRules":"RowBox[{\"ArrayRules\", \"[\", RowBox[{\"SparseArray\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] gives the rules RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] specifying elements in a sparse array. \nRowBox[{\"ArrayRules\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives rules for RowBox[{\"SparseArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]. ", - "Arrays":"RowBox[{\"Arrays\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \"]\"}] represents the domain of arrays of rank StyleBox[\"r\", \"TI\"] and dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Arrays\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] represents the domain of arrays of dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]], with components in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"Arrays\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] represents the subdomain of arrays with dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]] and symmetry StyleBox[\"sym\", \"TI\"].", - "Arrow":"RowBox[{\"Arrow\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] is a graphics primitive that represents an arrow from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Arrow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents an arrow with its ends set back from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]] by a distance StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Arrow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] sets back by SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]] from SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"Arrow\", \"[\", RowBox[{StyleBox[\"curve\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an arrow following the specified StyleBox[\"curve\", \"TI\"].", - "Arrowheads":"RowBox[{\"Arrowheads\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] is a graphics directive specifying that arrows that follow should have arrowheads with sizes, positions, and forms specified by StyleBox[\"spec\", \"TI\"]. ", - "ASATriangle":"RowBox[{\"ASATriangle\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] returns a filled triangle with angles StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and side length StyleBox[\"c\", \"TI\"], and StyleBox[\"c\", \"TI\"] is adjacent to both angles.", - "Ask":"RowBox[{\"Ask\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that gives the value associated with StyleBox[\"key\", \"TI\"], or interactively asks for it if it is not already known. \nRowBox[{\"Ask\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"formspec\", \"TI\"]}], \"]\"}] uses StyleBox[\"formspec\", \"TI\"] to define how input should be requested and interpreted.\nRowBox[{\"Ask\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the values associated with all the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]], interactively asking for any that are needed.\nRowBox[{\"Ask\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses the SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"i\", \"TI\"]] to define how input for the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] should be requested and interpreted. ", - "AskAppend":"RowBox[{\"AskAppend\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that asks for a new value, appends it to the current value associated with \"StyleBox[\"key\", \"TI\"]\", and returns the resulting list.\nRowBox[{\"AskAppend\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"formspec\", \"TI\"]}], \"]\"}] uses StyleBox[\"formspec\", \"TI\"] to define how input should be requested and interpreted.", - "AskConfirm":"RowBox[{\"AskConfirm\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that asks for confirmation of the current value associated with \"StyleBox[\"key\", \"TI\"]\" and allows this to be either confirmed or changed.\nRowBox[{\"AskConfirm\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"fun\", \"TI\"] to determine how to ask for confirmation. \nRowBox[{\"AskConfirm\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"str\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] applies the string \"StyleBox[\"str\", \"TI\"]\" as a string template to ask for confirmation.", - "AskDisplay":"RowBox[{\"AskDisplay\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a construct for use inside AskFunction that displays the result of evaluating StyleBox[\"expr\", \"TI\"] in the context of the AskFunction.", - "AskedQ":"RowBox[{\"AskedQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that gives True if a value is currently associated with StyleBox[\"key\", \"TI\"], and False otherwise.", - "AskedValue":"RowBox[{\"AskedValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a construct for use inside AskFunction that gives the value associated with StyleBox[\"key\", \"TI\"], or RowBox[{\"Missing\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] if none has been provided.", - "AskFunction":"RowBox[{\"AskFunction\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] evaluates StyleBox[\"body\", \"TI\"], interactively asking for values specified by RowBox[{\"Ask\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] and related constructs. \nRowBox[{\"AskFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] specifies how values associated with the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] should be asked for.", - "AskState":"RowBox[{\"AskState\", \"[\", \"]\"}] is a construct for use inside AskFunction that returns an association of all values in the current state of the AskFunction.", - "AskTemplateDisplay":"RowBox[{\"AskTemplateDisplay\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] is a construct for use inside AskFunction that displays the result of applying StyleBox[\"fun\", \"TI\"] to the association of the values of all keys encountered so far in the evaluation of the AskFunction.\nRowBox[{\"AskTemplateDisplay\", \"[\", \"StyleBox[str, TI]StyleBox[\", TI], \"]\"}] applies \"\nStyleBox[\"str\", \"TI\"]\" as a string template to the association of values. ", - "AspectRatio":"AspectRatio is an option for Graphics and related functions that specifies the ratio of height to width for a plot. ", - "AspectRatioFixed":"AspectRatioFixed is an option for Cell that specifies whether graphics in the cell should be constrained to stay the same shape when they are interactively resized using the front end. ", - "Assert":"RowBox[{\"Assert\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents the assertion that StyleBox[\"test\", \"TI\"] is True. If assertions have been enabled, StyleBox[\"test\", \"TI\"] is evaluated when the assertion is encountered. If StyleBox[\"test\", \"TI\"] is not True, then an assertion failure is generated.\nRowBox[{\"Assert\", \"[\", RowBox[{StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] specifies a tag that will be used to identify the assertion if it fails.", - "AssociateTo":"RowBox[{\"AssociateTo\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{StyleBox[\"key\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] changes the association StyleBox[\"a\", \"TI\"] by adding the key-value pair RowBox[{StyleBox[\"key\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}].\nRowBox[{\"AssociateTo\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds all key-value pairs RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", - "Association":"RowBox[{\"Association\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] or RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}] represents an association between keys and values.", - "AssociationFormat":"AssociationFormat is an option to TextString and related functions that determines how associations are formatted.", - "AssociationMap":"RowBox[{\"AssociationMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates the association RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"AssociationMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] creates the association RowBox[{\"\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"AssociationMap\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of AssociationMap that can be applied to an expression.", - "AssociationQ":"RowBox[{\"AssociationQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a valid Association object, and False otherwise.", - "AssociationThread":"RowBox[{\"AssociationThread\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the association RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"AssociationThread\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also gives the association RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].", - "AssumeDeterministic":"AssumeDeterministic is an option for functions such as BayesianMinimization that specifies whether or not the function being considered should be assumed to be deterministic.", - "Assuming":"RowBox[{\"Assuming\", \"[\", RowBox[{StyleBox[\"assum\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with StyleBox[\"assum\", \"TI\"] appended to $Assumptions, so that StyleBox[\"assum\", \"TI\"] is included in the default assumptions used by functions such as Refine, Simplify, and Integrate. ", - "Assumptions":"Assumptions is an option for functions such as Simplify, Refine, and Integrate that specifies default assumptions to be made about symbolic quantities. ", - "AstronomicalData":"RowBox[{\"AstronomicalData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property of the astronomical object with the specified name.\nRowBox[{\"AstronomicalData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the value of a property at a particular date and time.", - "AsymptoticDSolveValue":"RowBox[{\"AsymptoticDSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation to the differential equation StyleBox[\"eqn\", \"TI\"] for RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] centered at SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"AsymptoticDSolveValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation to a system of differential equations.\nRowBox[{\"AsymptoticDSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ϵ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ϵ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"ϵ\", \"TR\"]}], \"]\"}] for the parameter StyleBox[\"ϵ\", \"TR\"] centered at SubscriptBox[StyleBox[\"ϵ\", \"TR\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].", - "AsymptoticEqual":"RowBox[{\"AsymptoticEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"≍\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"Θ\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"≍\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"Θ\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", - "AsymptoticEquivalent":"RowBox[{\"AsymptoticEquivalent\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∼\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticEquivalent\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \" \", \"~\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", - "AsymptoticGreater":"RowBox[{\"AsymptoticGreater\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"≻\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"ω\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticGreater\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"≻\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"ω\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", - "AsymptoticGreaterEqual":"RowBox[{\"AsymptoticGreaterEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"⪰\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"Ω\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticGreaterEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"⪰\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"Ω\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", - "AsymptoticIntegrate":"RowBox[{\"AsymptoticIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] computes an asymptotic approximation of the indefinite integral RowBox[{\"∫\", RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], RowBox[{\"\", \"x\"}]}]}] for StyleBox[\"x\", \"TI\"] centered at SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].\nRowBox[{RowBox[{\"AsymptoticIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}], \"]\"}] computes an asymptotic approximation of the definite integral RowBox[{SubsuperscriptBox[\"∫\", RowBox[{\"a\", \"(\", \"α\", \")\"}], RowBox[{\"b\", \"(\", \"α\", \")\"}]], RowBox[{RowBox[{\"f\", \"(\", RowBox[{\"x\", \",\", \"α\"}], \")\"}], RowBox[{\"\", \"x\"}]}]}] for StyleBox[\"α\", \"TR\"] centered at SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"0\", \"TR\"]] of order StyleBox[\"n\", \"TI\"].", - "AsymptoticLess":"RowBox[{\"AsymptoticLess\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"≺\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"o\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticLess\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"≺\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"o\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", - "AsymptoticLessEqual":"RowBox[{\"AsymptoticLessEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"⪯\", RowBox[{\"g\", \"(\", \"x\", \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", \"x\", \")\"}], \"∈\", RowBox[{\"O\", \"(\", RowBox[{\"g\", \"(\", \"x\", \")\"}], \")\"}]}] as RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}].\nRowBox[{\"AsymptoticLessEqual\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives conditions for RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"⪯\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}]}] or RowBox[{RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \"∈\", RowBox[{\"O\", \"(\", RowBox[{\"g\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"x\", \"n\"]}], \")\"}], \")\"}]}] as RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}].", - "AsymptoticOutputTracker":"RowBox[{\"AsymptoticOutputTracker\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the state feedback control law that causes the outputs of the affine system StyleBox[\"sys\", \"TI\"] to track the reference signals SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with decay rates SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"AsymptoticOutputTracker\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] and control inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]] to use. ", - "Asynchronous":"Asynchronous is an option for WolframAlpha that determines whether to use the asynchronous features of the Wolfram|Alpha API.", - "AsynchronousTaskObject":"RowBox[{\"AsynchronousTaskObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"id\", \"TI\"], \",\", StyleBox[\"sessionid\", \"TI\"]}], \"]\"}] is an object that represents asynchronous evaluations from a particular asynchronous task.", - "AsynchronousTasks":"RowBox[{\"AsynchronousTasks\", \"[\", \"]\"}] returns a list of running asynchronous tasks.", - "AtomQ":"RowBox[{\"AtomQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is an expression which cannot be divided into subexpressions, and yields False otherwise. ", - "Attributes":"RowBox[{\"Attributes\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the list of attributes for a symbol. ", - "Audio":"RowBox[{\"Audio\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] represents audio stored in the given file.\nRowBox[{\"Audio\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] represents audio stored in the given URL.\nRowBox[{\"Audio\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents audio with samples given by the array StyleBox[\"data\", \"TI\"].", - "AudioAmplify":"RowBox[{\"AudioAmplify\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] multiplies all samples of StyleBox[\"audio\", \"TI\"] by a factor StyleBox[\"s\", \"TI\"]. ", - "AudioBlockMap":"RowBox[{\"AudioBlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"dur\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to non-overlapping partitions of length StyleBox[\"dur\", \"TI\"] in StyleBox[\"audio\", \"TI\"]. \nRowBox[{\"AudioBlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dur\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to partitions with offset StyleBox[\"offset\", \"TI\"] in StyleBox[\"audio\", \"TI\"]. \nRowBox[{\"AudioBlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dur\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] after applying StyleBox[\"wfun\", \"TI\"] to partitions in StyleBox[\"audio\", \"TI\"]. ", - "AudioCapture":"RowBox[{\"AudioCapture\", \"[\", \"]\"}] creates a temporary interactive interface for capturing an audio signal.\nRowBox[{\"AudioCapture\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] captures an audio signal into StyleBox[\"file\", \"TI\"].", - "AudioChannelAssignment":"AudioChannelAssignment is an option for Audio and related functions that specifies a mapping from audio channels to available speakers of the output audio device.", - "AudioChannelCombine":"RowBox[{\"AudioChannelCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a multichannel audio object by combining the sequence of channels in SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AudioChannelMix":"RowBox[{\"AudioChannelMix\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] mixes channels of StyleBox[\"audio\", \"TI\"] by averaging and returns a center-panned stereo audio.\nRowBox[{\"AudioChannelMix\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"desttype\", \"TI\"]}], \"]\"}] mixes audio channels into the specified StyleBox[\"desttype\", \"TI\"].", - "AudioChannels":"RowBox[{\"AudioChannels\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the number of channels in the Audio object StyleBox[\"audio\", \"TI\"].", - "AudioChannelSeparate":"RowBox[{\"AudioChannelSeparate\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] gives a list of Audio objects, each of which represents one channel of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioChannelSeparate\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"channel\", \"TI\"]}], \"]\"}] returns the specified StyleBox[\"channel\", \"TI\"] from StyleBox[\"audio\", \"TI\"].", - "AudioData":"RowBox[{\"AudioData\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] gives an array of audio samples.\nRowBox[{\"AudioData\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an array of audio samples converted to the specified \"\nStyleBox[\"type\", \"TI\"]\".", - "AudioDelay":"RowBox[{\"AudioDelay\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"delay\", \"TI\"]}], \"]\"}] creates audio by adding repeated decaying echos to StyleBox[\"audio\", \"TI\"] spaced by the specified StyleBox[\"delay\", \"TI\"].\nRowBox[{\"AudioDelay\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"delay\", \"TI\"], \",\", StyleBox[\"feedback\", \"TI\"]}], \"]\"}] uses the specified StyleBox[\"feedback\", \"TI\"] as the amount of signal to preserve during each repetition.\nRowBox[{\"AudioDelay\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"delay\", \"TI\"], \",\", StyleBox[\"feedback\", \"TI\"], \",\", StyleBox[\"mix\", \"TI\"]}], \"]\"}] uses StyleBox[\"mix\", \"TI\"] to control the ratio between original and delayed audio.", - "AudioDelete":"RowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] deletes the first StyleBox[\"t\", \"TI\"] seconds of audio.\nRowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"t\", \"TI\"]}]}], \"]\"}] deletes the last StyleBox[\"t\", \"TI\"] seconds of audio.\nRowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] deletes from time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] to time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], returning the remaining audio as a single Audio object.\nRowBox[{\"AudioDelete\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes multiple time intervals.", - "AudioDevice":"AudioDevice is an option for Audio and related functions that specifies the device to use for playback.", - "AudioDistance":"RowBox[{\"AudioDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns a distance measure between SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "AudioFade":"RowBox[{\"AudioFade\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns audio in which the beginning and end of StyleBox[\"audio\", \"TI\"] are faded.\nRowBox[{\"AudioFade\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] fades the first and last StyleBox[\"t\", \"TI\"] seconds of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioFade\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] fades SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] seconds at the beginning and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] seconds at the end.", - "AudioFrequencyShift":"RowBox[{\"AudioFrequencyShift\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"freq\", \"TI\"]}], \"]\"}] gives audio by shifting the spectrum of StyleBox[\"audio\", \"TI\"] by StyleBox[\"freq\", \"TI\"].\nRowBox[{\"AudioFrequencyShift\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"freq\", \"TI\"], \",\", StyleBox[\"mix\", \"TI\"]}], \"]\"}] uses StyleBox[\"mix\", \"TI\"] to control the ratio between the original and shifted audio.", - "AudioGenerator":"RowBox[{\"AudioGenerator\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] generates one second of audio of a given StyleBox[\"model\", \"TI\"].\nRowBox[{\"AudioGenerator\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates StyleBox[\"t\", \"TI\"] seconds of audio.\nRowBox[{\"AudioGenerator\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates audio samples of the specified \"StyleBox[\"type\", \"TI\"]\".", - "AudioInputDevice":"AudioInputDevice is an option for AudioCapture that specifies the device to use for audio recording.", - "AudioInsert":"RowBox[{\"AudioInsert\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{StyleBox[\"t\", \"TI\"], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] inserts the audio signal StyleBox[\"new\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"AudioInsert\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] inserts the same audio at multiple positions.\nRowBox[{\"AudioInsert\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts multiple audio signals at different positions.", - "AudioIntervals":"RowBox[{\"AudioIntervals\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns audible intervals of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioIntervals\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] returns intervals of audio for which the criterion StyleBox[\"crit\", \"TI\"] is satisfied.\nRowBox[{\"AudioIntervals\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"mindur\", \"TI\"]}], \"]\"}] returns only intervals larger than the given duration StyleBox[\"mindur\", \"TI\"].", - "AudioJoin":"RowBox[{\"AudioJoin\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] concatenates all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]] and returns an audio object.\nRowBox[{\"AudioJoin\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] inserts SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] seconds of silence after each SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AudioLabel":"AudioLabel is an option for an Audio object that specifies the label to show on the object.", - "AudioLength":"RowBox[{\"AudioLength\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the number of samples in the Audio object StyleBox[\"audio\", \"TI\"].", - "AudioLocalMeasurements":"RowBox[{\"AudioLocalMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" locally for partitions of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioLocalMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] computes several properties \"SubscriptBox[\nStyleBox[\"prop\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".\nRowBox[{\"AudioLocalMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the measurements in the specified output StyleBox[\"format\", \"TI\"].", - "AudioLooping":"AudioLooping is an option for AudioStream and related functions to specify the playback looping.", - "AudioLoudness":"RowBox[{\"AudioLoudness\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] computes the loudness of StyleBox[\"audio\", \"TI\"] according to the EBU momentary definition.\nRowBox[{\"AudioLoudness\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] computes the loudness according to the definition StyleBox[\"def\", \"TI\"].", - "AudioMeasurements":"RowBox[{\"AudioMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" for the entire StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] computes several properties \"SubscriptBox[\nStyleBox[\"prop\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".\nRowBox[{\"AudioMeasurements\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the values in the specified output StyleBox[\"format\", \"TI\"].\nRowBox[{\"AudioMeasurements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns measurements for all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AudioNormalize":"RowBox[{\"AudioNormalize\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] normalizes StyleBox[\"audio\", \"TI\"] so that the maximum absolute value of its samples is 1.\nRowBox[{\"AudioNormalize\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] normalizes the audio signal based on the specified StyleBox[\"model\", \"TI\"].", - "AudioOutputDevice":"AudioOutputDevice is an option for Audio and related functions that specifies the device to use for playback.", - "AudioOverlay":"RowBox[{\"AudioOverlay\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns an audio object by overlaying all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AudioPad":"RowBox[{\"AudioPad\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] adds StyleBox[\"t\", \"TI\"] seconds of silence to the end of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioPad\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] adds SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] seconds of silence to the beginning and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] seconds to the end of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioPad\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] pads using the value or method specified by StyleBox[\"padding\", \"TI\"].", - "AudioPan":"RowBox[{\"AudioPan\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns a center-panned stereo audio object from a mono StyleBox[\"audio\", \"TI\"]. \nRowBox[{\"AudioPan\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"pan\", \"TI\"]}], \"]\"}] returns a stereo audio object after panning left and right channels using the specified StyleBox[\"pan\", \"TI\"].", - "AudioPartition":"RowBox[{\"AudioPartition\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"dur\", \"TI\"]}], \"]\"}] partitions an audio object into non-overlapping segments of duration StyleBox[\"dur\", \"TI\"].\nRowBox[{\"AudioPartition\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"dur\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] generates segments with specified StyleBox[\"offset\", \"TI\"].", - "AudioPause":"RowBox[{\"AudioPause\", \"[\", \"]\"}] pauses the playback of all AudioStream objects.\nRowBox[{\"AudioPause\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] pauses the playback of the AudioStream object StyleBox[\"astream\", \"TI\"].\nRowBox[{\"AudioPause\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] pauses the playback for all streams originated by StyleBox[\"audio\", \"TI\"].", - "AudioPitchShift":"RowBox[{\"AudioPitchShift\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies pitch shifting to StyleBox[\"audio\", \"TI\"] by the ratio StyleBox[\"r\", \"TI\"], shifting every frequency f to RowBox[{\"r\", \" \", \"f\"}].", - "AudioPlay":"RowBox[{\"AudioPlay\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns a new AudioStream object from StyleBox[\"audio\", \"TI\"] and starts the playback.\nRowBox[{\"AudioPlay\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] starts playing an AudioStream object StyleBox[\"astream\", \"TI\"].", - "AudioPlot":"RowBox[{\"AudioPlot\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] plots the waveform of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots waveforms of all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AudioQ":"RowBox[{\"AudioQ\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] yields True if audio has the form of a valid Audio object, and False otherwise.", - "AudioRecord":"RowBox[{\"AudioRecord\", \"[\", \"]\"}] returns a new AudioStream object and starts to record from the default input audio device.\nRowBox[{\"AudioRecord\", \"[\", StyleBox[\"inputdev\", \"TI\"], \"]\"}] records from the input audio device StyleBox[\"inputdev\", \"TI\"].\nRowBox[{\"AudioRecord\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] starts recording an AudioStream object StyleBox[\"astream\", \"TI\"] that is connected to an input device.", - "AudioReplace":"RowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces the audio signal between SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with the new signal StyleBox[\"new\", \"TI\"].\nRowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces multiple intervals with the same audio StyleBox[\"new\", \"TI\"].\nRowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces multiple intervals.\nRowBox[{\"AudioReplace\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}], \",\", StyleBox[\"fitting\", \"TI\"]}], \"]\"}] uses the specified StyleBox[\"fitting\", \"TI\"] method.", - "AudioResample":"RowBox[{\"AudioResample\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"sr\", \"TI\"]}], \"]\"}] resamples StyleBox[\"audio\", \"TI\"] to have the sample rate of StyleBox[\"sr\", \"TI\"].", - "AudioReverb":"RowBox[{\"AudioReverb\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] adds reverberation to StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioReverb\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] adds reverberation following the room StyleBox[\"model\", \"TI\"].\nRowBox[{\"AudioReverb\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"mix\", \"TI\"]}], \"]\"}] controls the StyleBox[\"mix\", \"TI\"] ratio between original and reverberated audio.", - "AudioSampleRate":"RowBox[{\"AudioSampleRate\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the sample rate of the Audio object StyleBox[\"audio\", \"TI\"].", - "AudioSpectralMap":"RowBox[{\"AudioSpectralMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"]}], \"]\"}] transforms audio by applying the function StyleBox[\"f\", \"TI\"] to its short-time Fourier transform.\nRowBox[{\"AudioSpectralMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of short-time Fourier transforms of all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AudioSpectralTransformation":"RowBox[{\"AudioSpectralTransformation\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"audio\", \"TI\"]}], \"]\"}] returns a modified version of StyleBox[\"audio\", \"TI\"] by applying a time-frequency transformation StyleBox[\"f\", \"TI\"] to its short-time Fourier transform.", - "AudioSplit":"RowBox[{\"AudioSplit\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] splits StyleBox[\"audio\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"AudioSplit\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] splits StyleBox[\"audio\", \"TI\"] at times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "AudioStop":"RowBox[{\"AudioStop\", \"[\", \"]\"}] stops the playback of all AudioStream objects.\nRowBox[{\"AudioStop\", \"[\", StyleBox[\"astream\", \"TI\"], \"]\"}] stops the playback of the AudioStream object StyleBox[\"astream\", \"TI\"].\nRowBox[{\"AudioStop\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] stops the playback for all streams originated by StyleBox[\"audio\", \"TI\"].", - "AudioStream":"RowBox[{\"AudioStream\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] creates a new AudioStream object from StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioStream\", \"[\", StyleBox[\"inputdev\", \"TI\"], \"]\"}] creates a new AudioStream from an input audio device StyleBox[\"inputdev\", \"TI\"].\nRowBox[{\"AudioStream\", \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] is an object that represents a unique audio stream.", - "AudioStreams":"RowBox[{\"AudioStreams\", \"[\", \"]\"}] returns all existing streams.\nRowBox[{\"AudioStreams\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns all existing streams that originated from StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioStreams\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns \"\nStyleBox[\"prop\", \"TI\"]\" for all streams that originated from StyleBox[\"audio\", \"TI\"].", - "AudioTimeStretch":"RowBox[{\"AudioTimeStretch\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies time stretching to StyleBox[\"audio\", \"TI\"] by the specified factor StyleBox[\"r\", \"TI\"].", - "AudioTrim":"RowBox[{\"AudioTrim\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] trims silence from the beginning and end of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] returns the first StyleBox[\"t\", \"TI\"] seconds of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"t\", \"TI\"]}]}], \"]\"}] returns the last StyleBox[\"t\", \"TI\"] seconds of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns audio starting at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] and ending at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"AudioTrim\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of audio for all given intervals RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i1\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i2\", \"TI\"]]}], \"}\"}].", - "AudioType":"RowBox[{\"AudioType\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] returns the data type used to represent samples in the Audio object StyleBox[\"audio\", \"TI\"].", - "AugmentedSymmetricPolynomial":"RowBox[{\"AugmentedSymmetricPolynomial\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a formal augmented symmetric polynomial with exponents SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"AugmentedSymmetricPolynomial\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"1\", \"n\"}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"2\", \"n\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate formal augmented symmetric polynomial with exponent vectors RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"], \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"1\", \"n\"}], \"TI\"]]}], \"}\"}], RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"], \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[RowBox[{\"2\", \"n\"}], \"TI\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"].\nRowBox[{\"AugmentedSymmetricPolynomial\", \"[\", RowBox[{StyleBox[\"rspec\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] gives the augmented symmetric polynomial in StyleBox[\"data\", \"TI\"].", - "Authentication":"Authentication is an option for cloud and web access functions that allows authentication parameters to be given.", - "AuthenticationDialog":"RowBox[{\"AuthenticationDialog\", \"[\", \"]\"}] initiates a standard dialog for entering username\/password authentication information.\nRowBox[{\"AuthenticationDialog\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] initiates an authentication dialog of the specified standard type.\nRowBox[{\"AuthenticationDialog\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", \"…\"}], \"}\"}], \"]\"}] initiates an authentication dialog that requests values for the specified keys.\nRowBox[{\"AuthenticationDialog\", \"[\", RowBox[{StyleBox[\"arg\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"func\", \"TI\"] to the dialog's return value.", - "AutoAction":"AutoAction is an option for objects such as Slider, Locator, and Button that specifies whether they should automatically take action whenever the mouse pointer is over them, even if they are not clicked. ", - "Autocomplete":"RowBox[{\"Autocomplete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]] that can complete StyleBox[\"string\", \"TI\"].\nRowBox[{\"Autocomplete\", \"[\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] puts the completions in order of decreasing weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Autocomplete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses completions specified by the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Autocomplete\", \"[\", RowBox[{StyleBox[\"comps\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first at most StyleBox[\"n\", \"TI\"] completions.\nRowBox[{\"Autocomplete\", \"[\", StyleBox[\"comps\", \"TI\"], \"]\"}] gives an RowBox[{\"AutocompletionFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to a string.", - "AutocompletionFunction":"RowBox[{\"AutocompletionFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function to be applied to a string to generate possible completions. ", - "AutoCopy":"AutoCopy is an option for notebooks and cloud objects that specifies whether to automatically make a copy when the object is opened.", - "AutocorrelationTest":"RowBox[{\"AutocorrelationTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the StyleBox[\"data\", \"TI\"] is autocorrelated.\nRowBox[{\"AutocorrelationTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] tests whether the StyleBox[\"data\", \"TI\"] is autocorrelated up to lag StyleBox[\"k\", \"TI\"].\nRowBox[{\"AutocorrelationTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\nStyleBox[\"\\\"\", \"TI\"] for a given model.", - "AutoDelete":"AutoDelete is an option for boxes that specifies whether a box is automatically deleted when its contents are edited.", - "AutoGeneratedPackage":"AutoGeneratedPackage is an option for notebooks that specifies whether a package is automatically created when a notebook that contains initialization cells or groups is saved.", - "AutoIndent":"AutoIndent is an option for Style and Cell that specifies what automatic indentation should be done at the beginning of a new line after an explicit return character has been entered. ", - "AutoItalicWords":"AutoItalicWords is an option for Cell that gives a list of words that should automatically be put in italics when they are entered. ", - "AutoloadPath":"AutoloadPath is a global option that specifies from which directories packages are automatically loaded when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", - "Automatic":"Automatic represents an option or other value that is to be chosen automatically by a built‐in function. ", - "AutoMultiplicationSymbol":"AutoMultiplicationSymbol is an option for objects such as Cell and Notebook that specifies whether to automatically display a multiplication symbol between numbers that would be multiplied if evaluated.", - "AutoOpenNotebooks":"AutoOpenNotebooks is a global option that specifies which notebooks should be automatically opened when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", - "AutoOpenPalettes":"AutoOpenPalettes is a global option that specifies the palettes that are automatically opened when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", - "AutoRefreshed":"RowBox[{\"AutoRefreshed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an expression to be reevaluated every hour and made available in the cloud.\nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"]\"}] reevaluates at time interval StyleBox[\"dt\", \"TI\"]. \nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] reevaluates on the schedule specified by StyleBox[\"timespec\", \"TI\"].\nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that the result from evaluating StyleBox[\"expr\", \"TI\"] should be given in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"AutoRefreshed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the result should be given as a response of the form StyleBox[\"rform\", \"TI\"].", - "AutoRemove":"AutoRemove is an option specifying whether tasks, generators, and related constructs should be removed after they are executed.", - "AutorunSequencing":"AutorunSequencing is an option for Manipulate that specifies how autorun should use the controls provided.", - "AutoScroll":"AutoScroll is an option to SelectionMove and related functions that specifies whether a notebook should automatically be scrolled to display the current selection.", - "AutoSpacing":"AutoSpacing is an option for Style and Cell that specifies whether spaces between successive characters should be adjusted automatically. ", - "AutoSubmitting":"RowBox[{\"AutoSubmitting\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an element of a form that automatically submits the whole form if it is entered.", - "Axes":"Axes is an option for graphics functions that specifies whether axes should be drawn. ", - "AxesEdge":"AxesEdge is an option for three-dimensional graphics functions that specifies on which edges of the bounding box axes should be drawn. ", - "AxesLabel":"AxesLabel is an option for graphics functions that specifies labels for axes. ", - "AxesOrigin":"AxesOrigin is an option for graphics functions that specifies where any axes drawn should cross. ", - "AxesStyle":"AxesStyle is an option for graphics functions that specifies how axes should be rendered. ", - "Axis":"Axis is a symbol that represents the axis for purposes of alignment and positioning. ", - "BabyMonsterGroupB":"RowBox[{\"BabyMonsterGroupB\", \"[\", \"]\"}] represents the sporadic simple baby monster group B.", - "Back":"Back is a symbol that represents the back of a graphic for purposes of placement and alignment.", - "Background":"Background is an option that specifies what background color to use. ", - "Backslash":"RowBox[{\"Backslash\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"∖\", \"y\", \"∖\", \"…\"}].", - "Backward":"Backward is a symbol that represents the backward direction for purposes of motion and animation.", - "Ball":"RowBox[{\"Ball\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents the unit ball centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Ball\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents the ball of radius StyleBox[\"r\", \"TI\"] centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Ball\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a collection of balls of radius StyleBox[\"r\", \"TI\"].", - "Band":"RowBox[{\"Band\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}], \"]\"}] represents the sequence of positions on the diagonal band that starts with RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}] in a sparse array.\nRowBox[{\"Band\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the positions between RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"Band\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"di\", \"TI\"], \",\", StyleBox[\"dj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents positions starting with RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and then moving with step RowBox[{\"{\", RowBox[{StyleBox[\"di\", \"TI\"], \",\", StyleBox[\"dj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "BandpassFilter":"RowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] applies a bandpass filter with cutoff frequencies SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]] to an array of data.\nRowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses center frequency StyleBox[\"ω\", \"TR\"] and quality factor StyleBox[\"q\", \"TI\"].\nRowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"BandpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", - "BandstopFilter":"RowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] applies a bandstop filter with cutoff frequencies SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]] to an array of data.\nRowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses center frequency StyleBox[\"ω\", \"TR\"] and quality factor StyleBox[\"q\", \"TI\"]. \nRowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"BandstopFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", - "BarabasiAlbertGraphDistribution":"RowBox[{\"BarabasiAlbertGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a Barabasi–Albert graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs where a new vertex with StyleBox[\"k\", \"TI\"] edges is added at each step.", - "BarChart":"RowBox[{\"BarChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bar chart with bar lengths SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], ….\nRowBox[{\"BarChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bar chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BarChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bar chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BarChart3D":"RowBox[{\"BarChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bar chart with bar lengths SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"BarChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bar chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BarChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bar chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BarcodeImage":"RowBox[{\"BarcodeImage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] generates a barcode image of \"StyleBox[\"string\", \"TI\"]\" in the specified StyleBox[\"format\", \"TI\"].\nRowBox[{\"BarcodeImage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] attempts to generate a barcode image of the specified StyleBox[\"size\", \"TI\"].", - "BarcodeRecognize":"RowBox[{\"BarcodeRecognize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] recognizes a barcode in StyleBox[\"image\", \"TI\"] and returns it as a string.\nRowBox[{\"BarcodeRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the specified property of the barcode.\nRowBox[{\"BarcodeRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] recognizes barcodes of the specified StyleBox[\"format\", \"TI\"] only.", - "BaringhausHenzeTest":"RowBox[{\"BaringhausHenzeTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether data follows a MultinormalDistribution using the Baringhaus–Henze test.\nRowBox[{\"BaringhausHenzeTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"MultinormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}]}], \"]\"}] tests whether data follows the distribution with mean vector StyleBox[\"μ\", \"TR\"] and covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"BaringhausHenzeTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\". ", - "BarLegend":"RowBox[{\"BarLegend\", \"[\", StyleBox[\"cf\", \"TI\"], \"]\"}] generates a legend that identifies colors from the color function StyleBox[\"cf\", \"TI\"] with an automatic range of values.\nRowBox[{\"BarLegend\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"cf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"}\"}], \"]\"}] generates a legend that identifies colors from the color function StyleBox[\"cf\", \"TI\"] with the range of values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"].\nRowBox[{\"BarLegend\", \"[\", RowBox[{StyleBox[\"cf\", \"TI\"], \",\", StyleBox[\"contours\", \"TI\"]}], \"]\"}] generates a legend that identifies color ranges from the color function StyleBox[\"cf\", \"TI\"] based on the set of contours StyleBox[\"contours\", \"TI\"].", - "BarlowProschanImportance":"RowBox[{\"BarlowProschanImportance\", \"[\", StyleBox[\"rdist\", \"TI\"], \"]\"}] gives the Barlow–Proschan importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"]. \nRowBox[{\"BarlowProschanImportance\", \"[\", StyleBox[\"fdist\", \"TI\"], \"]\"}] gives the Barlow–Proschan importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"].", - "BarnesG":"RowBox[{\"BarnesG\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Barnes G-function RowBox[{StyleBox[\"G\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "BarOrigin":"BarOrigin is an option to BarChart and related functions that specifies the origin placement for bars. ", - "BarSpacing":"BarSpacing is an option to BarChart and related functions that controls the spacing between bars and groups of bars.", - "BartlettHannWindow":"RowBox[{\"BartlettHannWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Bartlett–Hann window function of StyleBox[\"x\", \"TI\"].", - "BartlettWindow":"RowBox[{\"BartlettWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Bartlett window function of StyleBox[\"x\", \"TI\"].", - "BaseDecode":"RowBox[{\"BaseDecode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] decodes the Base64 data contained in a string and returns the result as a byte array.", - "BaseEncode":"RowBox[{\"BaseEncode\", \"[\", StyleBox[\"ba\", \"TI\"], \"]\"}] encodes the byte array StyleBox[\"ba\", \"TI\"] as a Base64 string.", - "BaseForm":"RowBox[{\"BaseForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with the numbers in StyleBox[\"expr\", \"TI\"] given in base StyleBox[\"n\", \"TI\"]. ", - "Baseline":"Baseline is a symbol that represents the baseline for purposes of alignment and positioning. ", - "BaselinePosition":"BaselinePosition is an option that specifies where the baseline of an object is considered to be for purposes of alignment with surrounding text or other expressions. ", - "BaseStyle":"BaseStyle is an option for formatting and related constructs that specifies the base style to use for them. ", - "BasicRecurrentLayer":"RowBox[{\"BasicRecurrentLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable recurrent layer that takes a sequence of vectors and produces a sequence of vectors each of size StyleBox[\"n\", \"TI\"].\nRowBox[{\"BasicRecurrentLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial weights and other parameters. ", - "BatchNormalizationLayer":"RowBox[{\"BatchNormalizationLayer\", \"[\", \"]\"}] represents a trainable net layer that normalizes its input data by learning the data mean and variance.", - "BatchSize":"BatchSize is an option for NetTrain and related functions that specifies the size of a batch of examples to process together.", - "BatesDistribution":"RowBox[{\"BatesDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the distribution of a mean of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from 0 to 1.\nRowBox[{\"BatesDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the distribution of a mean of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].", - "BattleLemarieWavelet":"RowBox[{\"BattleLemarieWavelet\", \"[\", \"]\"}] represents the Battle-Lemarié wavelet of order 3.\nRowBox[{\"BattleLemarieWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the Battle-Lemarié wavelet of order StyleBox[\"n\", \"TI\"] evaluated on equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", \"10\"}], \",\", \"10\"}], \"}\"}].\nRowBox[{\"BattleLemarieWavelet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"lim\", \"TI\"]}], \"]\"}] represents the Battle-Lemarié wavelet of order StyleBox[\"n\", \"TI\"] evaluated on equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", StyleBox[\"lim\", \"TI\"]}], StyleBox[\",\", \"TI\"], StyleBox[\"lim\", \"TI\"]}], \"}\"}]. ", - "BayesianMaximization":"RowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of Bayesian maximization over the function StyleBox[\"f\", \"TI\"] over the configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] maximizes over the region represented by the region specification StyleBox[\"reg\", \"TI\"].\nRowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] maximizes over configurations obtained by applying the function StyleBox[\"sampler\", \"TI\"].\nRowBox[{\"BayesianMaximization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "BayesianMaximizationObject":"RowBox[{\"BayesianMaximizationObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of a Bayesian maximization process.", - "BayesianMinimization":"BayesianMinimizationRowBox[{\"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an object representing the result of Bayesian minimization of the function StyleBox[\"f\", \"TI\"] over the configurations SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"BayesianMinimization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] minimizes over the region represented by the region specification StyleBox[\"reg\", \"TI\"].\nRowBox[{\"BayesianMinimization\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"sampler\", \"TI\"]}], \"]\"}] minimizes over configurations obtained by applying the function StyleBox[\"sampler\", \"TI\"]. \nBayesianMinimizationRowBox[{\"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"nsampler\", \"TI\"]}]}], \"]\"}] applies the function StyleBox[\"nsampler\", \"TI\"] to successively generate configurations starting from the SubscriptBox[StyleBox[\"conf\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BayesianMinimizationObject":"RowBox[{\"BayesianMinimizationObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the result of a Bayesian minimization process. ", - "Because":"RowBox[{\"Because\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"∵\", \"y\"}].", - "BeckmannDistribution":"RowBox[{\"BeckmannDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] represents the Beckmann distribution with means SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]] and standard deviations SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BeckmannDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents the Beckmann distribution with means SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], standard deviations SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], and correlation StyleBox[\"ρ\", \"TR\"].", - "Beep":"RowBox[{\"Beep\", \"[\", \"]\"}] generates an audible beep when evaluated. ", - "Before":"Before is a symbol that represents the region before an object for purposes of placement.", - "Begin":"RowBox[{\"Begin\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] resets the current context. ", - "BeginDialogPacket":"RowBox[{\"BeginDialogPacket\", \"[\", StyleBox[\"integer\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates the start of the Dialog subsession referenced by StyleBox[\"integer\", \"TI\"].", - "BeginPackage":"RowBox[{\"BeginPackage\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] makes StyleBox[RowBox[{StyleBox[\"context\", \"TI\"], \"`\"}]] and System` the only active contexts. \nRowBox[{\"BeginPackage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"need\\\",\\\"TI\\\"]\\_StyleBox[1, TR]\\)`\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"need\\\",\\\"TI\\\"]\\_StyleBox[2, TR]\\)`\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] calls Needs on the SubscriptBox[StyleBox[\"need\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BellB":"RowBox[{\"BellB\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Bell number SubscriptBox[\"B\", \"n\"]. \nRowBox[{\"BellB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Bell polynomial RowBox[{SubscriptBox[\"B\", \"n\"], \"(\", \"x\", \")\"}]. ", - "BellY":"RowBox[{\"BellY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"n\", \"-\", \"k\", \"+\", \"1\"}], \"TI\"]]}], \"}\"}]}], \"]\"}] gives the partial Bell polynomial RowBox[{SubscriptBox[StyleBox[\"Y\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}]], \"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \"-\", StyleBox[\"k\", \"TI\"], \"+\", \"1\"}]]}], \")\"}].\nRowBox[{\"BellY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the generalized partial Bell polynomial of a matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"BellY\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the generalized Bell polynomial of a matrix StyleBox[\"m\", \"TI\"].", - "Below":"Below is a symbol that represents the region below an object for purposes of placement.", - "BenfordDistribution":"RowBox[{\"BenfordDistribution\", \"[\", StyleBox[\"b\", \"TI\"], \"]\"}] represents a Benford distribution with base parameter StyleBox[\"b\", \"TI\"].", - "BeniniDistribution":"RowBox[{\"BeniniDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Benini distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].", - "BenktanderGibratDistribution":"RowBox[{\"BenktanderGibratDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Benktander distribution of type I with parameters StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"].", - "BenktanderWeibullDistribution":"RowBox[{\"BenktanderWeibullDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Benktander distribution of type II with parameters StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"].", - "BernoulliB":"RowBox[{\"BernoulliB\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Bernoulli number SubscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"BernoulliB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Bernoulli polynomial RowBox[{SubscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "BernoulliDistribution":"RowBox[{\"BernoulliDistribution\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a Bernoulli distribution with probability parameter StyleBox[\"p\", \"TI\"].", - "BernoulliGraphDistribution":"RowBox[{\"BernoulliGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a Bernoulli graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs with edge probability StyleBox[\"p\", \"TI\"].", - "BernoulliProcess":"RowBox[{\"BernoulliProcess\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a Bernoulli process with event probability StyleBox[\"p\", \"TI\"].", - "BernsteinBasis":"RowBox[{\"BernsteinBasis\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] represents the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Bernstein basis function of degree StyleBox[\"d\", \"TI\"] at StyleBox[\"x\", \"TI\"].", - "BesselFilterModel":"RowBox[{\"BesselFilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] designs a lowpass Bessel filter of order StyleBox[\"n\", \"TI\"] and cutoff frequency 1.\nRowBox[{\"BesselFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"BesselFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", - "BesselI":"RowBox[{\"BesselI\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the modified Bessel function of the first kind RowBox[{SubscriptBox[StyleBox[\"I\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "BesselJ":"RowBox[{\"BesselJ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Bessel function of the first kind RowBox[{SubscriptBox[\"J\", \"n\"], \"(\", \"z\", \")\"}]. ", - "BesselJZero":"RowBox[{\"BesselJZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Bessel function RowBox[{SubscriptBox[StyleBox[\"J\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"BesselJZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero greater than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "BesselK":"RowBox[{\"BesselK\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the modified Bessel function of the second kind RowBox[{SubscriptBox[StyleBox[\"K\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "BesselY":"RowBox[{\"BesselY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Bessel function of the second kind RowBox[{SubscriptBox[StyleBox[\"Y\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "BesselYZero":"RowBox[{\"BesselYZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Bessel function of the second kind RowBox[{SubscriptBox[StyleBox[\"Y\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].\nRowBox[{\"BesselYZero\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero greater than SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "Beta":"RowBox[{\"Beta\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the Euler beta function RowBox[{\"Β\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]. \nRowBox[{\"Beta\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the incomplete beta function RowBox[{SubscriptBox[\"Β\", StyleBox[\"z\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]. ", - "BetaBinomialDistribution":"RowBox[{\"BetaBinomialDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a beta binomial mixture distribution with beta distribution parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"], and StyleBox[\"n\", \"TI\"] binomial trials.", - "BetaDistribution":"RowBox[{\"BetaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a continuous beta distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].", - "BetaNegativeBinomialDistribution":"RowBox[{\"BetaNegativeBinomialDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a beta negative binomial mixture distribution with beta distribution parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and StyleBox[\"n\", \"TI\"] successful trials.", - "BetaPrimeDistribution":"RowBox[{\"BetaPrimeDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a beta prime distribution with shape parameters StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"]. \nRowBox[{\"BetaPrimeDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a generalized beta prime distribution with scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"BetaPrimeDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a generalized beta distribution of the second kind with shape parameter StyleBox[\"α\", \"TR\"].", - "BetaRegularized":"RowBox[{\"BetaRegularized\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the regularized incomplete beta function RowBox[{SubscriptBox[StyleBox[\"I\", \"TI\"], StyleBox[\"z\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]. ", - "Between":"RowBox[{\"Between\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{StyleBox[\"min\", \"TI\"], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"max\", \"TI\"]}].\nRowBox[{\"Between\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"||\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"||\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"Between\", \"[\", StyleBox[\"range\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{\"Between\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] when applied to an expression StyleBox[\"x\", \"TI\"].", - "BetweennessCentrality":"RowBox[{\"BetweennessCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of betweenness centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"BetweennessCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "BezierCurve":"RowBox[{\"BezierCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a graphics primitive that represents a Bézier curve with control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "BezierCurve3DBoxOptions":"RowBox[{BezierCurve3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BezierCurve3DBox objects.", - "BezierCurveBoxOptions":"RowBox[{BezierCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BezierCurveBox objects.", - "BezierFunction":"RowBox[{\"BezierFunction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a Bézier function for a curve defined by the control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BezierFunction\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] represents a Bézier function for a surface or high-dimensional manifold. ", - "BilateralFilter":"RowBox[{\"BilateralFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] applies a bilateral filter of spatial spread StyleBox[\"σ\", \"TR\"] and pixel value spread StyleBox[\"μ\", \"TR\"] to StyleBox[\"data\", \"TI\"].", - "Binarize":"RowBox[{\"Binarize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] creates a binary image from StyleBox[\"image\", \"TI\"] by replacing all values above a globally determined threshold with 1 and others with 0.\nRowBox[{\"Binarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] creates a binary image by replacing all values above StyleBox[\"t\", \"TI\"] with 1 and others with 0.\nRowBox[{\"Binarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] creates a binary image by replacing all values in the range SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with 1 and others with 0.\nRowBox[{\"Binarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] creates a binary image by replacing all channel value lists for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] yields True with 1, and others with 0.", - "BinaryDeserialize":"RowBox[{\"BinaryDeserialize\", \"[\", RowBox[{\"ByteArray\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] recovers an expression from a binary representation generated by BinarySerialize.\nRowBox[{\"BinaryDeserialize\", \"[\", RowBox[{RowBox[{\"ByteArray\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps StyleBox[\"h\", \"TI\"] around the expression produced before returning it.", - "BinaryDistance":"RowBox[{\"BinaryDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the binary distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"], equal to 0 if they are identical and 1 otherwise.", - "BinaryFormat":"BinaryFormat is an option for OpenRead and related functions that specifies that a stream should be opened in binary format, so that no textual interpretation of newlines or other data is done.", - "BinaryImageQ":"RowBox[{\"BinaryImageQ\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] yields True if StyleBox[\"image\", \"TI\"] has the form of a binary Image or Image3D object, and False otherwise.", - "BinaryRead":"RowBox[{\"BinaryRead\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads one byte of raw binary data from an input stream, and returns an integer from 0 to 255. \nRowBox[{\"BinaryRead\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads an object of the specified type. \nRowBox[{\"BinaryRead\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads a sequence of objects of the specified types.", - "BinaryReadList":"RowBox[{\"BinaryReadList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads all remaining bytes from a file, and returns them as a list of integers from 0 to 255. \nRowBox[{\"BinaryReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads objects of the specified type from a file, until the end of the file is reached. The list of objects read is returned. \nRowBox[{\"BinaryReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads objects with a sequence of types, until the end of the file is reached. \nRowBox[{\"BinaryReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"types\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads only the first StyleBox[\"n\", \"TI\"] objects of the specified types. ", - "BinarySerialize":"RowBox[{\"BinarySerialize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a binary representation of any expression StyleBox[\"expr\", \"TI\"] as a ByteArray object.", - "BinaryWrite":"RowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] writes a byte of data, specified as an integer from 0 to 255. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes a sequence of bytes. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes the raw sequence of characters in a string. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] writes an object of the specified type. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] writes a sequence of objects of the specified type. \nRowBox[{\"BinaryWrite\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes a sequence of objects with a sequence of types. ", - "BinCounts":"RowBox[{\"BinCounts\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] counts the number of elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive integer bins.\nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] counts the number of elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive bins of width StyleBox[\"dx\", \"TI\"].\nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] counts the number of SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] in successive bins of width StyleBox[\"dx\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] counts the number of SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the intervals RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \")\"}], RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"3\", \"TR\"]]}]}], \")\"}], …. \nRowBox[{\"BinCounts\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"xbins\", \"TI\"], \",\", StyleBox[\"ybins\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array of counts where the first index corresponds to StyleBox[\"x\", \"TI\"] bins, the second to StyleBox[\"y\", \"TI\"], and so on. ", - "BinLists":"RowBox[{\"BinLists\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives lists of the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive integer bins.\nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] gives lists of the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] whose values lie in successive bins of width StyleBox[\"dx\", \"TI\"].\nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] gives lists of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] that lie in successive bins of width StyleBox[\"dx\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] gives lists of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] that lie in the intervals RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \")\"}], RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"3\", \"TR\"]]}]}], \")\"}], …. \nRowBox[{\"BinLists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"xbins\", \"TI\"], \",\", StyleBox[\"ybins\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array of lists where the first index corresponds to StyleBox[\"x\", \"TI\"] bins, the second to StyleBox[\"y\", \"TI\"], and so on. ", - "Binomial":"RowBox[{\"Binomial\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the binomial coefficient RowBox[{\"(\", GridBox[{{StyleBox[\"n\", \"TI\"]}, {StyleBox[\"m\", \"TI\"]}}], \")\"}].", - "BinomialDistribution":"RowBox[{\"BinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a binomial distribution with StyleBox[\"n\", \"TI\"] trials and success probability StyleBox[\"p\", \"TI\"].", - "BinomialProcess":"RowBox[{\"BinomialProcess\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a binomial process with event probability StyleBox[\"p\", \"TI\"].", - "BinormalDistribution":"RowBox[{\"BinormalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents a bivariate normal distribution with mean RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}] and covariance matrix RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{StyleBox[\"ρ\", \"TR\"], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"ρ\", \"TR\"], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \",\", SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}].\nRowBox[{\"BinormalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents a bivariate normal distribution with zero mean.\nRowBox[{\"BinormalDistribution\", \"[\", StyleBox[\"ρ\", \"TR\"], \"]\"}] represents a bivariate normal distribution with zero mean and covariance matrix RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{\"1\", \",\", StyleBox[\"ρ\", \"TR\"]}], \" \", \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ρ\", \"TR\"], \",\", \"1\"}], \"}\"}]}], \"}\"}].", - "BiorthogonalSplineWavelet":"RowBox[{\"BiorthogonalSplineWavelet\", \"[\", \"]\"}] represents a biorthogonal spline wavelet of order 4 and dual order 2.\nRowBox[{\"BiorthogonalSplineWavelet\", \"[\", StyleBox[RowBox[{\"n\", \",\", \"m\"}], \"TI\"], \"]\"}] represents a biorthogonal spline wavelet of order StyleBox[\"n\", \"TI\"] and dual order StyleBox[\"m\", \"TI\"].", - "BipartiteGraphQ":"RowBox[{\"BipartiteGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a bipartite graph and False otherwise.", - "BiquadraticFilterModel":"RowBox[{\"BiquadraticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \"]\"}] creates a lowpass biquadratic filter using the characteristic frequency StyleBox[\"ω\", \"TR\"] and the quality factor StyleBox[\"q\", \"TI\"].\nRowBox[{\"BiquadraticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] creates a filter of a given RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}].\nRowBox[{\"BiquadraticFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", - "BirnbaumImportance":"RowBox[{\"BirnbaumImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Birnbaum importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"BirnbaumImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Birnbaum importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", - "BirnbaumSaundersDistribution":"RowBox[{\"BirnbaumSaundersDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents the Birnbaum–Saunders distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"λ\", \"TR\"].", - "BitAnd":"RowBox[{\"BitAnd\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the bitwise AND of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BitClear":"RowBox[{\"BitClear\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] sets to 0 the bit corresponding to the coefficient of SuperscriptBox[\"2\", StyleBox[\"k\", \"TI\"]] in the integer StyleBox[\"n\", \"TI\"]. ", - "BitGet":"RowBox[{\"BitGet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gets the bit corresponding to the coefficient of SuperscriptBox[\"2\", StyleBox[\"k\", \"TI\"]] in the integer StyleBox[\"n\", \"TI\"]. ", - "BitLength":"RowBox[{\"BitLength\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of binary bits necessary to represent the integer StyleBox[\"n\", \"TI\"]. ", - "BitNot":"RowBox[{\"BitNot\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the bitwise NOT of the integer StyleBox[\"n\", \"TI\"]. ", - "BitOr":"RowBox[{\"BitOr\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the bitwise OR of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BitSet":"RowBox[{\"BitSet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] sets to 1 the bit corresponding to the coefficient of SuperscriptBox[\"2\", StyleBox[\"k\", \"TI\"]] in the integer StyleBox[\"n\", \"TI\"]. ", - "BitShiftLeft":"RowBox[{\"BitShiftLeft\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] shifts the binary bits in the integer StyleBox[\"n\", \"TI\"] to the left by StyleBox[\"k\", \"TI\"] places, padding with zeros on the right.\nRowBox[{\"BitShiftLeft\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] shifts one bit to the left.", - "BitShiftRight":"RowBox[{\"BitShiftRight\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] shifts the binary bits in the integer StyleBox[\"n\", \"TI\"] to the right by StyleBox[\"k\", \"TI\"] places, dropping bits that are shifted past the unit's position on the right. \nRowBox[{\"BitShiftRight\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] shifts one bit to the right.", - "BitXor":"RowBox[{\"BitXor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the bitwise XOR of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BiweightLocation":"RowBox[{\"BiweightLocation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the value of the biweight location estimator of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"BiweightLocation\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the value of the biweight location estimator with scaling parameter StyleBox[\"c\", \"TI\"].", - "BiweightMidvariance":"RowBox[{\"BiweightMidvariance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the value of the biweight midvariance of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"BiweightMidvariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the value of the biweight midvariance with scaling parameter StyleBox[\"c\", \"TI\"].", - "Black":"Black represents the color black in graphics or style specifications. ", - "BlackmanHarrisWindow":"RowBox[{\"BlackmanHarrisWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Blackman–Harris window function of StyleBox[\"x\", \"TI\"].", - "BlackmanNuttallWindow":"RowBox[{\"BlackmanNuttallWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Blackman–Nuttall window function of StyleBox[\"x\", \"TI\"].", - "BlackmanWindow":"RowBox[{\"BlackmanWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Blackman window function of StyleBox[\"x\", \"TI\"].", - "Blank":"_ or RowBox[{\"Blank\", \"[\", \"]\"}] is a pattern object that can stand for any StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression. \nStyleBox[RowBox[{\"_\", StyleBox[\"h\", \"TI\"]}]] or RowBox[{\"Blank\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] can stand for any expression with head StyleBox[\"h\", \"TI\"]. ", - "BlankForm":"BlankForm is an internal symbol used for formatting and printing.", - "BlankNullSequence":"___ (three _ characters) or RowBox[{\"BlankNullSequence\", \"[\", \"]\"}] is a pattern object that can stand for any sequence of zero or more StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expressions. \nStyleBox[RowBox[{\"___\", StyleBox[\"h\", \"TI\"]}]] or RowBox[{\"BlankNullSequence\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] can stand for any sequence of expressions, all of which have head StyleBox[\"h\", \"TI\"]. ", - "BlankSequence":"__ (two _ characters) or RowBox[{\"BlankSequence\", \"[\", \"]\"}] is a pattern object that can stand for any sequence of one or more StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expressions. \nStyleBox[RowBox[{\"__\", StyleBox[\"h\", \"TI\"]}]] or RowBox[{\"BlankSequence\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] can stand for any sequence of one or more expressions, all of which have head StyleBox[\"h\", \"TI\"]. ", - "Blend":"RowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a color obtained by blending a fraction RowBox[{\"1\", \"-\", \"x\"}] of color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]] and x of color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] linearly interpolates between colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] as StyleBox[\"x\", \"TI\"] varies from 0 to 1.\nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] interpolates to give SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] when RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].\nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] blends all the SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]], using fraction SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]] of color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Blend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] blends pixel values of 2D or 3D images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Block":"RowBox[{\"Block\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies that StyleBox[\"expr\", \"TI\"] is to be evaluated with local values for the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"Block\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] defines initial local values for StyleBox[\"x\", \"TI\"], …. ", - "BlockchainBase":"BlockchainBase is an option for various blockchain functions that specifies which blockchain to use.", - "BlockchainBlockData":"RowBox[{\"BlockchainBlockData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"hash\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives information about the block with the specified hash on the blockchain specified by $BlockchainBase.\nRowBox[{\"BlockchainBlockData\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives information about block StyleBox[\"n\", \"TI\"] on the blockchain.\nRowBox[{\"BlockchainBlockData\", \"[\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives information about the block StyleBox[\"n\", \"TI\"] elements from the end of the blockchain.\nRowBox[{\"BlockchainBlockData\", \"[\", RowBox[{StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property of the block.", - "BlockchainData":"RowBox[{\"BlockchainData\", \"[\", \"]\"}] gives information about the blockchain specified by $BlockchainBase.\nRowBox[{\"BlockchainData\", \"[\", StyleBox[\"property\", \"TI\"], \"]\"}] gives the value of the specified property of the blockchain.", - "BlockchainGet":"RowBox[{\"BlockchainGet\", \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] retrieves data from the Wolfram blockchain for the transaction with the specified ID.", - "BlockchainPut":"RowBox[{\"BlockchainPut\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] adds StyleBox[\"expr\", \"TI\"] to the Wolfram blockchain.", - "BlockchainTransactionData":"RowBox[{\"BlockchainTransactionData\", \"[\", StyleBox[\"txid\", \"TI\"], \"]\"}] gives information about the blockchain transaction with ID StyleBox[\"txid\", \"TI\"] on the blockchain specified by $BlockchainBase.\nRowBox[{\"BlockchainTransactionData\", \"[\", RowBox[{StyleBox[\"txid\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property of the transaction.", - "BlockMap":"RowBox[{\"BlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to non-overlapping sublists of length StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"BlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to sublists with offset StyleBox[\"d\", \"TI\"] in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"BlockMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to blocks of size RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}].", - "BlockRandom":"RowBox[{\"BlockRandom\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with all pseudorandom generators localized, so that uses of SeedRandom, RandomInteger, and related functions within the evaluation of StyleBox[\"expr\", \"TI\"] do not affect subsequent pseudorandom sequences.", - "BlomqvistBeta":"RowBox[{\"BlomqvistBeta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Blomqvist's medial correlation coefficient StyleBox[\"β\", \"TR\"] for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BlomqvistBeta\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Blomqvist's medial correlation coefficient StyleBox[\"β\", \"TR\"] for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"BlomqvistBeta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Blomqvist's medial correlation coefficient StyleBox[\"β\", \"TR\"] for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BlomqvistBeta\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the medial correlation coefficient matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"BlomqvistBeta\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] medial correlation coefficient for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", - "BlomqvistBetaTest":"RowBox[{\"BlomqvistBetaTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"BlomqvistBetaTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"BlomqvistBetaTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Blue":"Blue represents the color blue in graphics or style specifications. ", - "Blur":"RowBox[{\"Blur\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a blurred version of StyleBox[\"image\", \"TI\"].\nRowBox[{\"Blur\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives a version of StyleBox[\"image\", \"TI\"] blurred over pixel radius StyleBox[\"r\", \"TI\"].", - "BodePlot":"RowBox[{\"BodePlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a Bode plot of a linear time-invariant system StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"BodePlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"BodePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", - "BohmanWindow":"RowBox[{\"BohmanWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Bohman window function of StyleBox[\"x\", \"TI\"].", - "Bold":"Bold represents a bold font weight.", - "Bookmarks":"Bookmarks is an option for Manipulate and related functions that gives a list of bookmark settings.", - "Boole":"RowBox[{\"Boole\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields 1 if StyleBox[\"expr\", \"TI\"] is True and 0 if it is False. ", - "BooleanConsecutiveFunction":"RowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Boolean function of StyleBox[\"n\", \"TI\"] variables that gives True if StyleBox[\"k\", \"TI\"] consecutive variables are True.\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"k\", \"TI\"], StyleBox[\",\", \"TI\"], \"True\"}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] treats the variable list as cyclic.\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a Boolean function of RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", \"⋯\", \" \", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}] variables that gives True if all variables in a RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], \"1\"], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], \"2\"], \"\", \"…\", \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"d\", \"TI\"]]}] block of the RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \"\", \"…\", \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}] variable array are True.\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"d\", \"TI\"]]}], \"}\"}]}], \"]\"}] treats the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] level of the variable array as cyclic if SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] is True. \nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the Boolean consecutive function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanConsecutiveFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", - "BooleanConvert":"RowBox[{\"BooleanConvert\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts the Boolean expression StyleBox[\"expr\", \"TI\"] to disjunctive normal form.\nRowBox[{\"BooleanConvert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] converts the Boolean expression StyleBox[\"expr\", \"TI\"] to the specified form.\nRowBox[{\"BooleanConvert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] finds an expression in the specified form that is equivalent to StyleBox[\"expr\", \"TI\"] when StyleBox[\"cond\", \"TI\"] is true.", - "BooleanCountingFunction":"RowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Boolean function of StyleBox[\"n\", \"TI\"] variables that gives True if at most SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a function of StyleBox[\"n\", \"TI\"] variables that gives True if exactly StyleBox[\"k\", \"TI\"] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a function that gives True if between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a function that gives True if exactly SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]] variables are True.\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the Boolean counting function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanCountingFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", - "BooleanFunction":"RowBox[{\"BooleanFunction\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] Boolean function in StyleBox[\"n\", \"TI\"] variables.\nRowBox[{\"BooleanFunction\", \"[\", StyleBox[\"values\", \"TI\"], \"]\"}] represents the Boolean function corresponding to the specified vector of truth values.\nRowBox[{\"BooleanFunction\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"o\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the Boolean function defined by the specified mapping from inputs to outputs.\nRowBox[{\"BooleanFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the Boolean function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanFunction\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", - "BooleanGraph":"RowBox[{\"BooleanGraph\", \"[\", RowBox[{StyleBox[\"bfunc\", \"TI\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}] gives the Boolean graph defined by the Boolean function StyleBox[\"bfunc\", \"TI\"] on the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]].", - "BooleanMaxterms":"RowBox[{\"BooleanMaxterms\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] maxterm in StyleBox[\"n\", \"TI\"] variables.\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the conjunction of the maxterms SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the conjunction of maxterms given by the exponent vectors SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], ….\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the maxterms function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanMaxterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", - "BooleanMinimize":"RowBox[{\"BooleanMinimize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] finds a minimal-length disjunctive normal form representation of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"BooleanMinimize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] finds a minimal-length representation for StyleBox[\"expr\", \"TI\"] in the specified form.\nRowBox[{\"BooleanMinimize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] finds a minimal-length expression in the specified form that is equivalent to StyleBox[\"expr\", \"TI\"] when StyleBox[\"cond\", \"TI\"] is true.", - "BooleanMinterms":"RowBox[{\"BooleanMinterms\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] minterm in StyleBox[\"n\", \"TI\"] variables.\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the disjunction of the minterms SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the disjunction of minterms given by the exponent vectors SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], ….\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Boolean expression in variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the minterms function specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"BooleanMinterms\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the Boolean expression in the form specified by StyleBox[\"form\", \"TI\"].", - "BooleanQ":"RowBox[{\"BooleanQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is either True or False.", - "BooleanRegion":"RowBox[{\"BooleanRegion\", \"[\", RowBox[{StyleBox[\"bfunc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the Boolean combination StyleBox[\"bfunc\", \"TI\"] of regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "Booleans":"Booleans represents the domain of Booleans, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Booleans\"}]. ", - "BooleanStrings":"BooleanStrings is an option to TextString and related functions that determines what strings correspond to the Wolfram Language symbols True and False.", - "BooleanTable":"RowBox[{\"BooleanTable\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives a list of truth values for all possible combinations of variable values supplied to the Boolean function StyleBox[\"bf\", \"TI\"].\nRowBox[{\"BooleanTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the truth values of the Boolean expression StyleBox[\"expr\", \"TI\"] for all possible combinations of values of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BooleanTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested table of truth values of StyleBox[\"expr\", \"TI\"] with the outermost level giving possible combinations of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "BooleanVariables":"RowBox[{\"BooleanVariables\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a list of the Boolean variables in the Boolean expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"BooleanVariables\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives the number of Boolean variables in the BooleanFunction object StyleBox[\"bf\", \"TI\"].", - "BorderDimensions":"RowBox[{\"BorderDimensions\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the pixel width of uniform borders of StyleBox[\"image\", \"TI\"] in the form RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"bottom\", \"TI\"], \",\", StyleBox[\"top\", \"TI\"]}], \"}\"}]}], \"}\"}].\nRowBox[{\"BorderDimensions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds borders whose pixels vary by an amount less than StyleBox[\"t\", \"TI\"].", - "BorelTannerDistribution":"RowBox[{\"BorelTannerDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Borel–Tanner distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"n\", \"TI\"].", - "Bottom":"Bottom is a symbol that represents the bottom for purposes of alignment and positioning. ", - "BottomHatTransform":"RowBox[{\"BottomHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological bottom-hat transform of StyleBox[\"image\", \"TI\"] with respect to structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"BottomHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the bottom-hat transform with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"BottomHatTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies a bottom-hat transform to an array of data.", - "BoundaryDiscretizeGraphics":"RowBox[{\"BoundaryDiscretizeGraphics\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] discretizes a 2D or 3D graphic StyleBox[\"g\", \"TI\"] into a BoundaryMeshRegion.\nRowBox[{\"BoundaryDiscretizeGraphics\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] discretizes only the elements in StyleBox[\"g\", \"TI\"] that match the pattern StyleBox[\"patt\", \"TI\"].", - "BoundaryDiscretizeRegion":"RowBox[{\"BoundaryDiscretizeRegion\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] discretizes the region StyleBox[\"reg\", \"TI\"] into a BoundaryMeshRegion.\nRowBox[{\"BoundaryDiscretizeRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], \",\", SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]}], \"]\"}], \"×\", \"⋯\"}].", - "BoundaryMesh":"RowBox[{\"BoundaryMesh\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] gives a BoundaryMeshRegion from a MeshRegion StyleBox[\"mreg\", \"TI\"]. ", - "BoundaryMeshRegion":"RowBox[{\"BoundaryMeshRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with boundary cells SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"j\", \"TI\"]], where coordinates given as integer StyleBox[\"i\", \"TI\"] are taken to be SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]], where the cells together represent a closed curve, surface, etc.\nRowBox[{\"BoundaryMeshRegion\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"bcell\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with cell properties defined by the symbolic wrapper SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BoundaryMeshRegion\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"boundary\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"boundary\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields a mesh from multiple boundaries SubscriptBox[StyleBox[\"boundary\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "BoundaryMeshRegionQ":"RowBox[{\"BoundaryMeshRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] yields True if the region StyleBox[\"reg\", \"TI\"] is a valid BoundaryMeshRegion object and False otherwise.", - "BoundaryStyle":"BoundaryStyle is an option for plotting functions that specifies the style in which boundaries of regions should be drawn. ", - "BoundedRegionQ":"RowBox[{\"BoundedRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if StyleBox[\"reg\", \"TI\"] is a bounded region and False otherwise. ", - "BoundingRegion":"RowBox[{\"BoundingRegion\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the minimal axis-aligned bounding box for the points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]],RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], StyleBox[\"…\", \"TR\"].\nRowBox[{\"BoundingRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a bounding region of type StyleBox[\"form\", \"TI\"]. \nRowBox[{\"BoundingRegion\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a bounding region for a MeshRegion or BoundaryMeshRegion.", - "BoxBaselineShift":"BoxBaselineShift is an option for AdjustmentBox that specifies how much the baseline of the box should be shifted relative to those of neighboring characters.", - "BoxData":"RowBox[{BoxData, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level representation of the contents of a typesetting cell.", - "Boxed":"Boxed is an option for Graphics3D that specifies whether to draw the edges of the bounding box in a three‐dimensional picture. ", - "BoxFormFormatTypes":"BoxFormFormatTypes is a global option that specifies the list of typeset format types that are currently defined.", - "BoxFrame":"BoxFrame is an option for FrameBox objects that specifies whether to draw a frame around the contents of the box.", - "BoxMargins":"BoxMargins is an option for AdjustmentBox objects that specifies the margins to leave around the contents of the box.", - "BoxMatrix":"RowBox[{BoxMatrix, \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}]StyleBox[\"×\", \"TR\"]RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}] matrix of 1s.\nRowBox[{BoxMatrix, \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}]StyleBox[\"×\", \"TR\"]RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", \"r\"}], \"+\", \"1\"}], \")\"}] block of 1s centered in a RowBox[{StyleBox[\"w\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}] matrix of 0s.\nRowBox[{BoxMatrix, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a RowBox[{RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", SubscriptBox[\"r\", \"1\"]}], \"+\", \"1\"}], \")\"}], \"×\", \" \", RowBox[{\"(\", RowBox[{RowBox[{\"2\", \" \", SubscriptBox[\"r\", \"2\"]}], \"+\", \"1\"}], \")\"}], \" \", \"×\", \"…\"}] array of 1s.", - "BoxObject":"RowBox[{BoxObject, \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] is an object that represents a box structure in an open notebook in the front end.", - "BoxRatios":"BoxRatios is an option for Graphics3D that gives the ratios of side lengths for the bounding box of the three‐dimensional picture. ", - "BoxStyle":"BoxStyle is an option for three-dimensional graphics functions that specifies how the bounding box should be rendered. ", - "BoxWhiskerChart":"RowBox[{BoxWhiskerChart, \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a box‐and‐whisker chart for the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{BoxWhiskerChart, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bwspec\", \"TI\"]}], \"]\"}] makes a chart with box‐and‐whisker symbol specification StyleBox[\"bwspec\", \"TI\"].\nRowBox[{BoxWhiskerChart, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] makes a chart with box‐and‐whisker symbol for each SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{BoxWhiskerChart, \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] makes a box‐and‐whisker chart from multiple groups of datasets RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "BracketingBar":"RowBox[{\"BracketingBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \" \", StyleBox[\"y\", \"TI\"], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].", - "BrayCurtisDistance":"RowBox[{\"BrayCurtisDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Bray–Curtis distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "BreadthFirstScan":"RowBox[{\"BreadthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a breadth-first scan (bfs) of the graph StyleBox[\"g\", \"TI\"] starting at the vertex StyleBox[\"s\", \"TI\"] and evaluates SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever \"SubscriptBox[\nStyleBox[\"event\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs.\nRowBox[{\"BreadthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a breadth-first scan of the whole graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"BreadthFirstScan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "Break":"RowBox[{\"Break\", \"[\", \"]\"}] exits the nearest enclosing Do, For, or While. ", - "BridgeData":"RowBox[{\"BridgeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the bridge StyleBox[\"entity\", \"TI\"].\nRowBox[{\"BridgeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified bridge entities.\nRowBox[{\"BridgeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "BrightnessEqualize":"RowBox[{\"BrightnessEqualize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adjusts the brightness across StyleBox[\"image\", \"TI\"], correcting uneven illumination.\nRowBox[{\"BrightnessEqualize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"flatfield\", \"TI\"]}], \"]\"}] uses the correction model given by StyleBox[\"flatfield\", \"TI\"], which models the variation in brightness across StyleBox[\"image\", FontFamily -> \"Times New Roman\", FontSize -> 12, FontSlant -> \"Italic\"].\nRowBox[{\"BrightnessEqualize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"flatfield\", \"TI\"], \",\", StyleBox[\"darkfield\", \"TI\"]}], \"]\"}] uses the dark environment model given by StyleBox[\"darkfield\", \"TI\"]. ", - "BroadcastStationData":"RowBox[{\"BroadcastStationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the broadcast station StyleBox[\"entity\", \"TI\"].\nRowBox[{\"BroadcastStationData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified broadcast station entities.\nRowBox[{\"BroadcastStationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Brown":"Brown represents the color brown in graphics or style specifications. ", - "BrownForsytheTest":"RowBox[{\"BrownForsytheTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of StyleBox[\"data\", \"TI\"] is 1. \nRowBox[{\"BrownForsytheTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are equal.\nRowBox[{\"BrownForsytheTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BrownForsytheTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "BrownianBridgeProcess":"RowBox[{\"BrownianBridgeProcess\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the Brownian bridge process from value StyleBox[\"a\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] to value StyleBox[\"b\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with volatility StyleBox[\"σ\", \"TR\"].\nRowBox[{RowBox[{\"BrownianBridgeProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}], \" \"}] represents the standard Brownian bridge process from value StyleBox[\"a\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] to value StyleBox[\"b\", \"TI\"] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{RowBox[{\"BrownianBridgeProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \" \"}] represents the standard Brownian bridge process pinned at 0 at times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"BrownianBridgeProcess\", \"[\", \"]\"}] represents the standard Brownian bridge process pinned at 0 at time 0 and at time 1.", - "BSplineBasis":"RowBox[{\"BSplineBasis\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the zeroth uniform B-spline basis function of degree StyleBox[\"d\", \"TI\"] at StyleBox[\"x\", \"TI\"].\nRowBox[{\"BSplineBasis\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] uniform B-spline basis function of degree StyleBox[\"d\", \"TI\"].\nRowBox[{RowBox[{\"BSplineBasis\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}], \" \"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] non-uniform B-spline basis function of degree StyleBox[\"d\", \"TI\"] with knots at positions SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "BSplineCurve":"RowBox[{\"BSplineCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a graphics primitive that represents a nonuniform rational B-spline curve with control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "BSplineCurve3DBoxOptions":"RowBox[{BSplineCurve3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BSplineCurve3DBox objects.", - "BSplineCurveBoxOptions":"RowBox[{BSplineCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BSplineCurveBox objects.", - "BSplineFunction":"RowBox[{\"BSplineFunction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a B-spline function for a curve defined by the control points SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BSplineFunction\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] represents a B-spline function for a surface or high-dimensional manifold. ", - "BSplineSurface":"RowBox[{\"BSplineSurface\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a graphics primitive that represents a nonuniform rational B-spline surface defined by an array of RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}] control points.", - "BSplineSurface3DBoxOptions":"RowBox[{BSplineSurface3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for BSplineSurface3DBox objects.", - "BubbleChart":"RowBox[{\"BubbleChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bubble chart with bubbles at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] with sizes SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BubbleChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bubble chart with bubble features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BubbleChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a bubble chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BubbleChart3D":"RowBox[{\"BubbleChart3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bubble chart with bubbles at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] with sizes SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BubbleChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bubble chart with bubble features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"BubbleChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D bubble chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "BubbleScale":"BubbleScale is an option to BubbleChart and related functions that specifies how the scale of each bubble should be determined from the value of each data element.", - "BubbleSizes":"BubbleSizes is an option to BubbleChart and related functions that specifies the range of sizes used for bubbles. ", - "BuildingData":"RowBox[{\"BuildingData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the building StyleBox[\"entity\", \"TI\"].\nRowBox[{\"BuildingData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified building entities.\nRowBox[{\"BuildingData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "BulletGauge":"RowBox[{\"BulletGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"reference\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a bullet gauge showing StyleBox[\"value\", \"TI\"] and StyleBox[\"reference\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"BulletGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"reference\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a bullet gauge with performance regions split at the SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"BulletGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a bullet gauge with multiple values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"BulletGauge\", \"[\", RowBox[{StyleBox[\"values\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a bullet gauge with multiple references SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "BusinessDayQ":"RowBox[{\"BusinessDayQ\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] returns True if the date is a business day and returns False otherwise.", - "ButterflyGraph":"RowBox[{\"ButterflyGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the order-StyleBox[\"n\", \"TI\"] butterfly graph. \nRowBox[{\"ButterflyGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the base-StyleBox[\"b\", \"TI\"] order-StyleBox[\"n\", \"TI\"] butterfly graph. ", - "ButterworthFilterModel":"RowBox[{\"ButterworthFilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] creates a lowpass Butterworth filter of order StyleBox[\"n\", \"TI\"] and cutoff frequency of 1.\nRowBox[{\"ButterworthFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"ButterworthFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] creates a filter of a given \"\nStyleBox[\"type\", \"TI\"]\" using the specified parameters StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"ButterworthFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", - "Button":"RowBox[{\"Button\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] represents a button that is labeled with StyleBox[\"label\", \"TI\"], and evaluates StyleBox[\"action\", \"TI\"] whenever it is clicked. ", - "ButtonBar":"RowBox[{\"ButtonBar\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a bar of buttons with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] that perform actions SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] when pressed.", - "ButtonBox":"RowBox[{ButtonBox, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level box construct that represents a button in a notebook expression.", - "ButtonBoxOptions":"ButtonBoxOptions is an option that specifies settings for ButtonBox.", - "ButtonData":"ButtonData is an option for the low-level function ButtonBox that specifies the second argument to give to the ButtonFunction for the button when the button is active and is clicked. ", - "ButtonEvaluator":"ButtonEvaluator is an option for the low-level function ButtonBox that specifies where the expression constructed from ButtonFunction should be sent for evaluation. ", - "ButtonExpandable":"ButtonExpandable is an option for the low-level function ButtonBox that specifies whether the button should expand to fill any GridBox position in which it appears. ", - "ButtonFrame":"ButtonFrame is an option for the low-level function ButtonBox that specifies the type of frame to display around a button. ", - "ButtonFunction":"ButtonFunction is an option for the low-level function ButtonBox that specifies the function to execute when the button is active and is clicked. ", - "ButtonMargins":"ButtonMargins is an option for ButtonBox that specifies how much space in printer's points to leave around the contents of a button when the button is displayed. ", - "ButtonMinHeight":"ButtonMinHeight is an option for the low-level function ButtonBox that specifies the minimum total height in units of font size that should be allowed for the button. ", - "ButtonNote":"ButtonNote is an option for ButtonBox that specifies what should be displayed in the status line of the current notebook window when the button is active and the cursor is placed on top of it. ", - "ButtonNotebook":"RowBox[{\"ButtonNotebook\", \"[\", \"]\"}] gives the notebook, if any, that contains the button which initiated the current evaluation. ", - "ButtonSource":"ButtonSource is an option for the low-level function ButtonBox that specifies the first argument to give to the ButtonFunction for the button when the button is active and is clicked. ", - "ButtonStyle":"ButtonStyle is an option for ButtonBox that specifies the default properties for the button. ", - "Byte":"Byte represents a single byte of data in Read. ", - "ByteArray":"RowBox[{\"ByteArray\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs a ByteArray object containing the byte values SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ByteArray\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] constructs a ByteArray object by extracting byte values from a Base64-encoded string.", - "ByteArrayQ":"RowBox[{\"ByteArrayQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a valid ByteArray object, and False otherwise.", - "ByteArrayToString":"RowBox[{\"ByteArrayToString\", \"[\", StyleBox[\"ba\", \"TI\"], \"]\"}] returns a string by decoding the data in the byte array StyleBox[\"ba\", \"TI\"], assuming UTF-8 encoding.\nRowBox[{\"ByteArrayToString\", \"[\", RowBox[{StyleBox[\"ba\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] interprets the data in the specified character encoding.", - "ByteCount":"RowBox[{\"ByteCount\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the number of bytes used internally by StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] to store StyleBox[\"expr\", \"TI\"]. ", - "ByteOrdering":"ByteOrdering is an option for BinaryRead, BinaryWrite, and related functions that specifies what ordering of bytes should be assumed for your computer system.", - "C":"RowBox[{\"C\", \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] is the default form for the StyleBox[RowBox[{StyleBox[\"i\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] parameter or constant generated in representing the results of various symbolic computations. ", - "CachePersistence":"CachePersistence is an option to Delayed and related constructs that specifies how long to keep server-side cached versions of computations that are done.", - "CalendarConvert":"RowBox[{\"CalendarConvert\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"calendar\", \"TI\"]}], \"]\"}] converts the date object StyleBox[\"date\", \"TI\"] to the specified calendar type StyleBox[\"calendar\", \"TI\"].\nRowBox[{\"CalendarConvert\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] converts to the default calendar type.\nRowBox[{\"CalendarConvert\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"calendar\", \"TI\"]}], \"]\"}] converts SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"n\", \"TI\"]] to the specified StyleBox[\"calendar\", \"TI\"].", - "CalendarData":"RowBox[{\"CalendarData\", \"[\", \"]\"}] gives countries with prebuilt calendar schedules.\nRowBox[{\"CalendarData\", \"[\", StyleBox[\"country\", \"TI\"], \"]\"}] gives available subspecifications for StyleBox[\"country\", \"TI\"].", - "CalendarType":"CalendarType is an option that determines the calendar system in which all dates are to be interpreted and output.", - "Callout":"RowBox[{\"Callout\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] in a plot as a callout pointing to StyleBox[\"data\", \"TI\"].\nRowBox[{\"Callout\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] displays a callout with StyleBox[\"expr\", \"TI\"] at a position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Callout\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"apos\", \"TI\"]}], \"]\"}] displays a callout anchored at a position specified by StyleBox[\"apos\", \"TI\"].", - "CalloutMarker":"CalloutMarker is an option for Callout that specifies what marker to draw at the end of the leader in a callout.", - "CalloutStyle":"CalloutStyle is an option for Callout that specifies what style to use for callouts.", - "CallPacket":"RowBox[{\"CallPacket\", \"[\", RowBox[{StyleBox[\"integer\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet encapsulating a request to invoke the external function numbered StyleBox[\"integer\", \"TI\"] with the arguments contained in StyleBox[\"list\", \"TI\"].", - "CanberraDistance":"RowBox[{\"CanberraDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Canberra distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "Cancel":"RowBox[{\"Cancel\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] cancels out common factors in the numerator and denominator of StyleBox[\"expr\", \"TI\"]. ", - "CancelButton":"RowBox[{\"CancelButton\", \"[\", \"]\"}] represents a StyleBox[\"Cancel\", \"DialogElementName\"] button in a dialog that closes the dialog window when clicked.\nRowBox[{\"CancelButton\", \"[\", StyleBox[\"action\", \"TI\"], \"]\"}] represents a button labeled StyleBox[\"Cancel\", \"DialogElementName\"] that evaluates StyleBox[\"action\", \"TI\"] when clicked.\nRowBox[{\"CancelButton\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] uses StyleBox[\"label\", \"TI\"] as the label for the button.", - "CandlestickChart":"RowBox[{\"CandlestickChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"open\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"high\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"low\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"close\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a chart with candles representing open, high, low, and close prices for each date. \nRowBox[{\"CandlestickChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] makes a candlestick chart for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"]. ", - "CanonicalGraph":"RowBox[{\"CanonicalGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a canonical graph of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"CanonicalGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "CanonicalName":"RowBox[{\"CanonicalName\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the canonical name for the entity specified by StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CanonicalName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the canonical name for SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]].", - "CanonicalWarpingCorrespondence":"RowBox[{\"CanonicalWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the canonical time warping (CTW) correspondence between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"CanonicalWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"warp\", \"TI\"]}], \"]\"}] uses StyleBox[\"warp\", \"TI\"] as initial warping correspondence.\nRowBox[{\"CanonicalWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"warp\", \"TI\"], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window StyleBox[\"win\", \"TI\"] for local search.", - "CanonicalWarpingDistance":"RowBox[{\"CanonicalWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the canonical time warping (CTW) distance between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"CanonicalWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] uses StyleBox[\"init\", \"TI\"] as the initial correspondence between the two sequences.\nRowBox[{\"CanonicalWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window StyleBox[\"win\", \"TI\"] for local search.", - "CantorMesh":"RowBox[{\"CantorMesh\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a mesh region representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Cantor set. \nRowBox[{\"CantorMesh\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Cantor set in dimension StyleBox[\"d\", \"TI\"].", - "CantorStaircase":"RowBox[{\"CantorStaircase\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the Cantor staircase function RowBox[{SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"C\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", - "Cap":"RowBox[{\"Cap\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⌢\", StyleBox[\"y\", \"TI\"], \"⌢\", StyleBox[\"…\", \"TR\"]}].", - "CapForm":"RowBox[{\"CapForm\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] is a graphics primitive that specifies what type of caps should be used at the ends of lines, tubes, and related primitives.", - "CapitalDifferentialD":"RowBox[{\"CapitalDifferentialD\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"\", StyleBox[\"x\", \"TI\"]}].", - "Capitalize":"RowBox[{\"Capitalize\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which the first character has been made uppercase.\nRowBox[{\"Capitalize\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"scheme\", \"TI\"]}], \"]\"}] gives a string capitalized using the specified capitalization scheme.", - "CapsuleShape":"RowBox[{\"CapsuleShape\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents the filled capsule between points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] and radius StyleBox[\"r\", \"TI\"].", - "CaptureRunning":"CaptureRunning is an option for signal acquisition functions that specifies whether to immediately start the capture.", - "CarlemanLinearize":"RowBox[{\"CarlemanLinearize\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] Carleman linearizes the nonlinear state-space model StyleBox[\"sys\", \"TI\"] according to StyleBox[\"spec\", \"TI\"].", - "CarmichaelLambda":"RowBox[{\"CarmichaelLambda\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Carmichael function RowBox[{\"λ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}], defined as the smallest integer StyleBox[\"m\", \"TI\"] such that RowBox[{SuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"≡\", RowBox[{\"1\", \"mod\", \" \", StyleBox[\"n\", \"TI\"]}]}] for all StyleBox[\"k\", \"TI\"] relatively prime to StyleBox[\"n\", \"TI\"]. ", - "CaseOrdering":"CaseOrdering is an option for AlphabeticSort and related functions that specifies how upper versus lower case should be sorted.", - "Cases":"RowBox[{\"Cases\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{StyleBox[\"pattern\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives a list of the values of StyleBox[\"rhs\", \"TI\"] corresponding to the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives a list of all parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"pattern\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives the values of StyleBox[\"rhs\", \"TI\"] that match the pattern. \nRowBox[{\"Cases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] parts in StyleBox[\"expr\", \"TI\"] that match the pattern. \nRowBox[{\"Cases\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of Cases that can be applied to an expression.", - "CaseSensitive":"RowBox[{\"CaseSensitive\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents a string pattern that requires matching typographical case, even with the overall option setting RowBox[{\"IgnoreCase\", \"->\", \"True\"}].", - "Cashflow":"RowBox[{\"Cashflow\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a series of cash flows occurring at unit time intervals.\nRowBox[{\"Cashflow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents cash flows occurring at time intervals StyleBox[\"q\", \"TI\"].\nRowBox[{\"Cashflow\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents cash flows occurring at the specified times.", - "Casoratian":"RowBox[{\"Casoratian\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Casoratian determinant for the sequences SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … depending on StyleBox[\"n\", \"TI\"].\nRowBox[{\"Casoratian\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Casoratian determinant for the basis of the solutions of the linear difference equation StyleBox[\"eqn\", \"TI\"] involving RowBox[{StyleBox[\"y\", \"TI\"], \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \"+\", StyleBox[\"m\", \"TI\"]}], \"]\"}]. \nRowBox[{\"Casoratian\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Casoratian determinant for the system of linear difference equations StyleBox[\"eqns\", \"TI\"].", - "Catalan":"Catalan is Catalan's constant, with numerical value RowBox[{\"≃\", \"0.915966\"}]. ", - "CatalanNumber":"RowBox[{\"CatalanNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Catalan number SubscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"n\", \"TI\"]].", - "Catch":"RowBox[{\"Catch\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the argument of the first Throw generated in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Catch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns StyleBox[\"value\", \"TI\"] from the first RowBox[{\"Throw\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] for which StyleBox[\"form\", \"TI\"] matches StyleBox[\"tag\", \"TI\"]. \nRowBox[{\"Catch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}]. ", - "Catenate":"RowBox[{\"Catenate\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a single list with all elements from the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]] in order. \nRowBox[{\"Catenate\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a list of all values in order appearing in the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "CatenateLayer":"RowBox[{\"CatenateLayer\", \"[\", \"]\"}] represents a net layer that takes a list of input tensors and catenates them.\nRowBox[{\"CatenateLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that takes a list of input tensors and catenates them at level StyleBox[\"n\", \"TI\"].", - "CauchyDistribution":"RowBox[{\"CauchyDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Cauchy distribution with location parameter StyleBox[\"a\", \"TI\"] and scale parameter StyleBox[\"b\", \"TI\"].\nRowBox[{\"CauchyDistribution\", \"[\", \"]\"}] represents a Cauchy distribution with location parameter 0 and scale parameter 1.", - "CauchyWindow":"RowBox[{\"CauchyWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Cauchy window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"CauchyWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "CayleyGraph":"RowBox[{\"CayleyGraph\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns a Cayley graph representation of StyleBox[\"group\", \"TI\"].", - "CDF":"RowBox[{\"CDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the cumulative distribution function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"CDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate cumulative distribution function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"CDF\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the CDF as a pure function.", - "CDFDeploy":"RowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] in a form that can be played by WolframStyleBox[\" \", FontSlant -> \"Italic\"]CDF Player.\nRowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"notebook\", \"TI\"]}], \"]\"}] deploys a notebook.\nRowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", RowBox[{\"NotebookSelection\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}]}], \"]\"}] deploys the current selection in StyleBox[\"notebook\", \"TI\"].\nRowBox[{\"CDFDeploy\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"outfile\\\",\\\"TI\\\"]\\).cdf\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"infile\\\",\\\"TI\\\"]\\).nb\\\"\",ShowStringCharacters->True]}], \"]\"}] deploys the notebook \"\nStyleBox[\"infile\", \"TI\"].nb\".", - "CDFInformation":"RowBox[{\"CDFInformation\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a list of properties relevant to a CDF deployed with the content StyleBox[\"expr\", \"TI\"].\nRowBox[{\"CDFInformation\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] gives usage properties for a CDF to be deployed from the given notebook.\nRowBox[{\"CDFInformation\", \"[\", RowBox[{\"NotebookSelection\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}], \"]\"}] gives CDF usage properties for only the selected cells in the given notebook.\nRowBox[{\"CDFInformation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives CDF usage properties for the named notebook or CDF file.", - "CDFWavelet":"RowBox[{\"CDFWavelet\", \"[\", \"]\"}] represents a Cohen–Daubechies–Feauveau wavelet of type \"9\/7\". \nRowBox[{\"CDFWavelet\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a Cohen–Daubechies–Feauveau wavelet of type \"\nStyleBox[\"type\", \"TI\"]\". ", - "Ceiling":"RowBox[{\"Ceiling\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the smallest integer greater than or equal to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Ceiling\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the smallest multiple of StyleBox[\"a\", \"TI\"] greater than or equal to StyleBox[\"x\", \"TI\"]. ", - "CelestialSystem":"CelestialSystem is an option for SunPosition, MoonPosition, and related functions that specifies the coordinate system to use for the results.", - "Cell":"RowBox[{\"Cell\", \"[\", StyleBox[\"contents\", \"TI\"], \"]\"}] is the low-level representation of a cell inside a StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] notebook. \nRowBox[{\"Cell\", \"[\", RowBox[{StyleBox[\"contents\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a cell in the specified style.\nRowBox[{\"Cell\", \"[\", RowBox[{StyleBox[\"contents\", \"TI\"], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a cell with multiple styles applied to it.", - "CellAutoOverwrite":"CellAutoOverwrite is an option for Cell which specifies whether an output cell should be overwritten by new output when the preceding input cell is evaluated. ", - "CellBaseline":"CellBaseline is an option for Cell which specifies where the baseline of the cell should be assumed to be when it appears inside another cell. ", - "CellBracketOptions":"CellBracketOptions is an option for cells that specifies settings for cell brackets.", - "CellChangeTimes":"CellChangeTimes is an option to Cell that specifies when changes were made to the cell.", - "CellContext":"CellContext is an option for Cell which specifies the context to use for the evaluation of the contents of the cell.", - "CellDingbat":"CellDingbat is an option for Cell which specifies what dingbat to use to emphasize a cell. ", - "CellDynamicExpression":"CellDynamicExpression is an option for cells that specifies an expression to be dynamically updated whenever the cell is visible on screen.", - "CellEditDuplicate":"CellEditDuplicate is an option for Cell which specifies whether the front end should make a copy of the cell before actually applying any changes in its contents that you request. ", - "CellEpilog":"CellEpilog is an option for Cell which gives an expression to evaluate after each ordinary evaluation of the contents of the cell.", - "CellEvaluationDuplicate":"CellEvaluationDuplicate is an option for Cell which specifies whether the front end should make a copy of the cell before performing any evaluation of its contents that you request. ", - "CellEvaluationFunction":"CellEvaluationFunction is an option for Cell that gives a function to be applied to every expression from the cell that is sent to the kernel for ordinary evaluation. ", - "CellEventActions":"CellEventActions is an option for Cell that gives a list of actions to perform when specified events occur in connection with a cell in a notebook. ", - "CellFrame":"CellFrame is an option for Cell that specifies whether a frame should be drawn around a cell. ", - "CellFrameColor":"CellFrameColor is an option that specifies the color of the frame around a cell.", - "CellFrameLabelMargins":"CellFrameLabelMargins is an option for cells that specifies the absolute margins in printer's points between a cell's frame and the labels around the frame.", - "CellFrameLabels":"CellFrameLabels is an option that specifies the labels associated with the frame around a cell.", - "CellFrameMargins":"CellFrameMargins is an option for Cell that specifies the absolute margins in printer’s points to leave inside a frame that is drawn around a cell. ", - "CellGroup":"RowBox[{\"CellGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an open group of cells that can appear in a StyleBox[\"Wolfram System\", \"RebrandingTerm\"] notebook.\nRowBox[{\"CellGroup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"1\"}], \"]\"}] gives a cell group in which only the first cell is open.\nRowBox[{\"CellGroup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"-\", \"1\"}]}], \"]\"}] gives a cell group in which only the last cell is open.\nRowBox[{\"CellGroup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a cell group in which cells SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are open. ", - "CellGroupData":"RowBox[{\"CellGroupData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a low-level construct that represents an open group of cells in a notebook. \nRowBox[{\"CellGroupData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"status\", \"TI\"]}], \"]\"}] represents a cell group that is open or closed according to the value of StyleBox[\"status\", \"TI\"].\nRowBox[{\"CellGroupData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a cell group with cells at positions SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … open. ", - "CellGrouping":"CellGrouping is a notebook option that specifies how cells in the notebook should be assembled into groups. ", - "CellGroupingRules":"CellGroupingRules is an option for cells that specifies the rules used for grouping a cell.", - "CellHorizontalScrolling":"CellHorizontalScrolling is an option for cells that specifies whether the contents of a cell can be scrolled from left to right using the horizontal scroll bar of the notebook.", - "CellID":"CellID is an option for Cell that specifies a unique ID number for a cell.", - "CellLabel":"CellLabel is an option for Cell which gives the label to use for a particular cell. ", - "CellLabelAutoDelete":"CellLabelAutoDelete is an option for Cell which specifies whether a label for the cell should be automatically deleted if the contents of the cell are modified or the notebook containing the cell is saved in a file. ", - "CellLabelMargins":"CellLabelMargins is an option for cells that specifies the absolute margins in printer's points around a cell label.", - "CellLabelPositioning":"CellLabelPositioning is an option for cells that specifies where the label for a cell is positioned.", - "CellLabelStyle":"CellLabelStyle is an option for Cell that specifies the style to use in displaying cell labels marking inputs and outputs.", - "CellMargins":"CellMargins is an option for Cell that specifies the absolute margins in printer's points to leave around a cell. ", - "CellObject":"RowBox[{\"CellObject\", \"[\", StyleBox[\"id\", \"TI\"], \"]\"}] is an object that represents a cell in an open notebook in the front end.", - "CellOpen":"CellOpen is an option for Cell that specifies whether the contents of a cell should be explicitly displayed. ", - "CellPrint":"RowBox[{\"CellPrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] inserts StyleBox[\"expr\", \"TI\"] as a complete cell in the current notebook just below the cell being evaluated. \nRowBox[{\"CellPrint\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] inserts a sequence of cells. ", - "CellProlog":"CellProlog is an option to Cell that gives an expression to evaluate before each ordinary evaluation of the contents of the cell.", - "Cells":"RowBox[{\"Cells\", \"[\", \"]\"}] returns a list of CellObject expressions corresponding to cells in the current notebook.\nRowBox[{\"Cells\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the list of CellObject expressions in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"Cells\", \"[\", RowBox[{\"NotebookSelection\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}], \"]\"}] returns the list of CellObject expressions for currently selected cells.", - "CellSize":"CellSize is an option for cells that specifies the width and height of an inline cell.", - "CellStyle":"CellStyle is a setting for functions such as NotebookFind and Cells that specifies the name of a cell style to search for in a notebook.", - "CellTags":"CellTags is an option for Cell that gives a list of tags to associate with a cell. ", - "CellularAutomaton":"RowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps. \nRowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] gives the result of evolving StyleBox[\"init\", \"TI\"] for one step. \nRowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"xspec\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives only those parts of the evolution specified by StyleBox[\"tspec\", \"TI\"], StyleBox[\"xspec\", \"TI\"], etc. \nRowBox[{\"CellularAutomaton\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", \"All\", \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes at each step all cells that could be affected over the course of StyleBox[\"t\", \"TI\"] steps. \nRowBox[{\"CellularAutomaton\", \"[\", StyleBox[\"rule\", \"TI\"], \"]\"}] is an operator form of CellularAutomaton that represents one step of evolution.", - "CensoredDistribution":"RowBox[{\"CensoredDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution of values that come from StyleBox[\"dist\", \"TI\"] and are censored to be between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"CensoredDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution of values that come from the multivariate distribution StyleBox[\"dist\", \"TI\"] and are censored to be between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc.", - "Censoring":"RowBox[{\"Censoring\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a censored event time StyleBox[\"t\", \"TI\"] with censoring StyleBox[\"c\", \"TI\"].\nRowBox[{\"Censoring\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a vector of censored event times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] with censoring StyleBox[\"c\", \"TI\"].\nRowBox[{\"Censoring\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a vector of event times SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] with corresponding censoring SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Center":"Center is a symbol that represents the center for purposes of alignment and positioning. ", - "CenterArray":"RowBox[{\"CenterArray\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a list of length StyleBox[\"n\", \"TI\"] with the elements of StyleBox[\"a\", \"TI\"] at the center and 0s elsewhere.\nRowBox[{\"CenterArray\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates an RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}] array with the array StyleBox[\"a\", \"TI\"] at the center and 0s elsewhere.\nRowBox[{\"CenterArray\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"pad\", \"TI\"]}], \"]\"}] uses StyleBox[\"pad\", \"TI\"] instead of 0 for the background.\nRowBox[{\"CenterArray\", \"[\", StyleBox[\"nspec\", \"TI\"], \"]\"}] creates an array with a single 1 at the center and 0s elsewhere.", - "CenterDot":"RowBox[{\"CenterDot\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"·\", \"y\", \"·\", \"…\"}].", - "CentralFeature":"RowBox[{\"CentralFeature\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the central feature of the elements SubscriptBox[\"x\", \"i\"].\nRowBox[{\"CentralFeature\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the StyleBox[SubscriptBox[\"v\", \"i\"], \"TI\"] corresponding to the central feature SubscriptBox[\"x\", \"i\"].\nRowBox[{\"CentralFeature\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the central feature for several different forms of StyleBox[\"data\", \"TI\"].", - "CentralMoment":"RowBox[{\"CentralMoment\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] central moment of the elements in StyleBox[\"list\", \"TI\"] with respect to their mean.\nRowBox[{\"CentralMoment\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] central moment of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"CentralMoment\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] formal central moment. ", - "CentralMomentGeneratingFunction":"RowBox[{\"CentralMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the central moment-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"CentralMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the central moment-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", - "Cepstrogram":"RowBox[{\"Cepstrogram\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] plots the array of power cepstra computed on each partition of StyleBox[\"data\", \"TI\"].\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"Cepstrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.", - "CepstrogramArray":"RowBox[{\"CepstrogramArray\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] computes an array of cepstra on StyleBox[\"data\", \"TI\"].\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"CepstrogramArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.", - "CepstrumArray":"RowBox[{\"CepstrumArray\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] computes the power cepstrum of StyleBox[\"data\", \"TI\"].\nRowBox[{\"CepstrumArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] computes the specified StyleBox[\"type\", \"TI\"] of cepstrum of StyleBox[\"data\", \"TI\"].", - "CForm":"RowBox[{\"CForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a C language version of StyleBox[\"expr\", \"TI\"]. ", - "ChampernowneNumber":"RowBox[{\"ChampernowneNumber\", \"[\", StyleBox[\"b\", \"TI\"], \"]\"}] gives the base-StyleBox[\"b\", \"TI\"] Champernowne number SubscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"b\", \"TI\"]].\nRowBox[{\"ChampernowneNumber\", \"[\", \"]\"}] gives the base-10 Champernowne number.", - "ChannelBase":"ChannelBase is an option specifying the base URI of the server to use for brokering channel communications.", - "ChannelBrokerAction":"ChannelBrokerAction is an option specifying the action to execute on the channel broker server in addition to routing a message.", - "ChannelDatabin":"ChannelDatabin is an option to ChannelListen that specifies a databin in which to store incoming messages. ", - "ChannelListen":"RowBox[{\"ChannelListen\", \"[\", StyleBox[\"channel\", \"TI\"], \"]\"}] starts listening on the specified channel, executing the default handler function for that channel whenever a message is received.\nRowBox[{\"ChannelListen\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to the association corresponding to each message received on the channel.\nRowBox[{\"ChannelListen\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", \"None\"}], \"]\"}] stores each message received on the channel, without applying any function.", - "ChannelListener":"RowBox[{\"ChannelListener\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a channel listener created by ChannelListen.", - "ChannelListeners":"RowBox[{\"ChannelListeners\", \"[\", \"]\"}] gives a list of currently active channel listeners.", - "ChannelObject":"RowBox[{\"ChannelObject\", \"[\", \"]\"}] gives a new anonymous channel specification.\nCloudObject[\"\nStyleBox[\nRowBox[{\nRowBox[{\"http\", \":\"}], \"\/\/\"}],\nAutoSpacing->False] \nStyleBox[\"…\", \"TR\"]\"] represents a channel specified by a given URI.\nRowBox[{\"ChannelObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a channel for the currently authenticated user at a relative path.\nRowBox[{\"ChannelObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the home channel of the user with Wolfram ID StyleBox[\"id\", \"TI\"]. \nRowBox[{\"ChannelObject\", \"[\", \"StyleBox[StyleBox[RowBox[{id, :, path}], TI], AutoSpacing -> False]\", \"]\"}] represents a channel for the user with the specified ID at the given path.\nRowBox[{\"ChannelObject\", \"[\", \"StyleBox[RowBox[{\/, StyleBox[abspath, TI]}], AutoSpacing -> False]\", \"]\"}] represents a channel at an absolute path on the channel broker.", - "ChannelPreSendFunction":"ChannelPreSendFunction is an option to ChannelObject and related functions that specifies a function to apply to outgoing messages before they are sent to the server.", - "ChannelReceiverFunction":"RowBox[{\"ChannelReceiverFunction\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] represents a channel receiver function that applies StyleBox[\"fun\", \"TI\"] to any channel message it receives.", - "ChannelSend":"RowBox[{\"ChannelSend\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"msg\", \"TI\"]}], \"]\"}] sends the specified message StyleBox[\"msg\", \"TI\"] to the specified channel.", - "ChannelSubscribers":"RowBox[{\"ChannelSubscribers\", \"[\", StyleBox[\"channel\", \"TI\"], \"]\"}] gives a list of users currently subscribed to the specified channel.\nRowBox[{\"ChannelSubscribers\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of subscribed users for each of the channels SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ChanVeseBinarize":"RowBox[{\"ChanVeseBinarize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds a two-level segmentation of StyleBox[\"image\", \"TI\"] by computing optimal contours around regions of consistent intensity in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ChanVeseBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] uses StyleBox[\"marker\", \"TI\"] to create an initial contour.\nRowBox[{\"ChanVeseBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] specify the Chan-Vese weights StyleBox[\"μ\", \"TR\"], StyleBox[\"ν\", \"TR\"], SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], and SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "Character":"Character represents a single character in Read. ", - "CharacterCounts":"RowBox[{\"CharacterCounts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an association whose keys are the distinct characters in StyleBox[\"string\", \"TI\"], and whose values give the number of times those characters appear in StyleBox[\"string\", \"TI\"].\nRowBox[{\"CharacterCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives counts of the distinct StyleBox[\"n\", \"TI\"]-grams consisting of runs of StyleBox[\"n\", \"TI\"] characters in StyleBox[\"string\", \"TI\"].", - "CharacterEncoding":"CharacterEncoding is an option for input and output functions which specifies what raw character encoding should be used. ", - "CharacterEncodingsPath":"CharacterEncodingsPath is a global option that specifies which directories are searched for character encoding files.", - "CharacteristicFunction":"RowBox[{\"CharacteristicFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the characteristic function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"].\nRowBox[{\"CharacteristicFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the characteristic function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "CharacteristicPolynomial":"RowBox[{\"CharacteristicPolynomial\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the characteristic polynomial for the matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"CharacteristicPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the generalized characteristic polynomial with respect to StyleBox[\"a\", \"TI\"]. ", - "CharacterName":"RowBox[{\"CharacterName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the name of the character StyleBox[\"c\", \"TI\"].\nRowBox[{\"CharacterName\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the name of the character with character code StyleBox[\"n\", \"TI\"].\nRowBox[{\"CharacterName\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a name of the specified type.", - "CharacterRange":"RowBox[{\"CharacterRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields a list of the characters in the range from \"SubscriptBox[\nStyleBox[\"c\", \"TI\"], \nStyleBox[\"1\", \"TR\"]]\" to \"SubscriptBox[\nStyleBox[\"c\", \"TI\"], \nStyleBox[\"2\", \"TR\"]]\". \nRowBox[{\"CharacterRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields a list of the characters with character codes in the range SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \".\"}]", - "Characters":"RowBox[{\"Characters\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the characters in a string. ", - "ChartBaseStyle":"ChartBaseStyle is an option for charting functions that specifies the base style for all chart elements.", - "ChartElementFunction":"ChartElementFunction is an option for charting functions such as BarChart that gives a function to use to generate the primitives for rendering each chart element.", - "ChartElements":"ChartElements is an option to charting functions such as BarChart that specifies the graphics to use as the basis for bars or other chart elements. ", - "ChartLabels":"ChartLabels is an option for charting functions that specifies what labels should be used for chart elements.", - "ChartLayout":"ChartLayout is an option to charting functions which specifies the overall layout to use.", - "ChartLegends":"ChartLegends is an option for charting functions that specifies what legends should be used for chart elements. ", - "ChartStyle":"ChartStyle is an option for charting functions that specifies styles in which chart elements should be drawn.", - "Chebyshev1FilterModel":"RowBox[{\"Chebyshev1FilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] creates a lowpass Chebyshev type 1 filter of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"Chebyshev1FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"Chebyshev1FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] creates a filter of a given \"\nStyleBox[\"type\", \"TI\"]\" using the specified parameters StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"Chebyshev1FilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", - "Chebyshev2FilterModel":"RowBox[{\"Chebyshev2FilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] creates a lowpass Chebyshev type 2 filter of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"Chebyshev2FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"Chebyshev2FilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] uses the full filter specification RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}].\nRowBox[{\"Chebyshev2FilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", - "ChebyshevDistance":"RowBox[{\"ChebyshevDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Chebyshev or sup norm distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "ChebyshevT":"RowBox[{\"ChebyshevT\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Chebyshev polynomial of the first kind RowBox[{SubscriptBox[StyleBox[\"T\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "ChebyshevU":"RowBox[{\"ChebyshevU\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Chebyshev polynomial of the second kind RowBox[{SubscriptBox[StyleBox[\"U\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "Check":"RowBox[{\"Check\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], and returns the result, unless messages were generated, in which case it evaluates and returns StyleBox[\"failexpr\", \"TI\"]. \nRowBox[{\"Check\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] checks only for the specified messages. \nRowBox[{\"Check\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] checks only for messages in the named message group.", - "CheckAbort":"RowBox[{\"CheckAbort\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], returning StyleBox[\"failexpr\", \"TI\"] if an abort occurs. ", - "CheckAll":"RowBox[{\"CheckAll\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] evaluates expr and returns RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"HoldComplete\", \"[\", RowBox[{SubscriptBox[StyleBox[\"control\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"]\"}] where the SubscriptBox[StyleBox[\"control\", \"TI\"], StyleBox[\"i\", \"TI\"]] expressions are aborts, throws, or other flow control commands currently being executed (but stopped by CheckAll).", - "Checkbox":"RowBox[{\"Checkbox\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a checkbox with setting StyleBox[\"x\", \"TI\"], displayed as CheckboxBox[True] when StyleBox[\"x\", \"TI\"] is True and CheckboxBox[False] when StyleBox[\"x\", \"TI\"] is False. \nRowBox[{\"Checkbox\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being toggled if the checkbox is clicked. \nRowBox[{\"Checkbox\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a checkbox that toggles between values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]] and displays as CheckboxBox[False] and CheckboxBox[True], respectively. \nRowBox[{\"Checkbox\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a checkbox that cycles through values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] and displays as CheckboxBox[3, {1, 2, 3}] for all SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] with RowBox[{StyleBox[\"i\", \"TI\"], \">\", \"2\"}]. ", - "CheckboxBar":"RowBox[{\"CheckboxBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a checkbox bar with setting StyleBox[\"x\", \"TI\"] and with checkboxes for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to include in the list StyleBox[\"x\", \"TI\"].\nRowBox[{\"CheckboxBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the values in the list StyleBox[\"x\", \"TI\"] being reset every time a checkbox is clicked.\nRowBox[{\"CheckboxBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a checkbox bar in which the checkbox associated with value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] has label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "CheckboxBoxOptions":"RowBox[{CheckboxBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for CheckboxBox objects.", - "ChemicalData":"RowBox[{\"ChemicalData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the chemical \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"ChemicalData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a structure diagram for the chemical with the specified name.\nRowBox[{\"ChemicalData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of available chemicals in the specified class.", - "ChessboardDistance":"RowBox[{\"ChessboardDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the chessboard, Chebyshev, or sup norm distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "ChiDistribution":"RowBox[{\"ChiDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents a χ distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.", - "ChineseRemainder":"RowBox[{\"ChineseRemainder\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the smallest x with RowBox[{\"x\", \"≥\", \"0\"}] that satisfies all the integer congruences RowBox[{RowBox[{\"x\", \" \", \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}], \"\", RowBox[{SubscriptBox[\"r\", \"i\"], \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}]}].\nRowBox[{\"ChineseRemainder\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the smallest x with RowBox[{\"x\", \"≥\", \"d\"}] that satisfies all the integer congruences RowBox[{RowBox[{\"x\", \" \", \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}], \"\", RowBox[{SubscriptBox[\"r\", \"i\"], \"mod\", \" \", SubscriptBox[\"m\", \"i\"]}]}].", - "ChiSquareDistribution":"RowBox[{\"ChiSquareDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents a SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.", - "ChoiceButtons":"RowBox[{\"ChoiceButtons\", \"[\", \"]\"}] represents a pair of StyleBox[\"OK\", \"MenuName\"] and StyleBox[\"Cancel\", \"MenuName\"] buttons that close a dialog.\nRowBox[{\"ChoiceButtons\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"ok\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"cancel\", \"TI\"]]}], \"}\"}], \"]\"}] represents StyleBox[\"OK\", \"MenuName\"] and StyleBox[\"Cancel\", \"MenuName\"] buttons that evaluate the corresponding SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] when clicked.\nRowBox[{\"ChoiceButtons\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"ok\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"cancel\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"ok\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"cancel\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses the SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] to label the buttons.", - "ChoiceDialog":"RowBox[{\"ChoiceDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] puts up a standard choice dialog that displays StyleBox[\"expr\", \"TI\"] together with StyleBox[\"OK\", \"DialogElementName\"] and StyleBox[\"Cancel\", \"DialogElementName\"] buttons, and returns True if StyleBox[\"OK\", \"DialogElementName\"] is clicked and False if StyleBox[\"Cancel\", \"DialogElementName\"] is clicked.\nRowBox[{\"ChoiceDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes buttons with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]], and returns the corresponding SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the button clicked.", - "CholeskyDecomposition":"RowBox[{\"CholeskyDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Cholesky decomposition of a matrix StyleBox[\"m\", \"TI\"]. ", - "Chop":"RowBox[{\"Chop\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces approximate real numbers in StyleBox[\"expr\", \"TI\"] that are close to zero by the exact integer 0. ", - "ChromaticityPlot":"RowBox[{\"ChromaticityPlot\", \"[\", StyleBox[\"colspace\", \"TI\"], \"]\"}] plots a 2D slice of the color space StyleBox[\"colspace\", \"TI\"]. \nRowBox[{\"ChromaticityPlot\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] plots the specific StyleBox[\"color\", \"TI\"].\nRowBox[{\"ChromaticityPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots multiple colors and color spaces.\nRowBox[{\"ChromaticityPlot\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] plots the pixels of StyleBox[\"image\", \"TI\"] as individual colors.\nRowBox[{\"ChromaticityPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"refcolspace\", \"TI\"]}], \"]\"}] uses the reference color space StyleBox[\"refcolspace\", \"TI\"].", - "ChromaticityPlot3D":"RowBox[{\"ChromaticityPlot3D\", \"[\", StyleBox[\"colspace\", \"TI\"], \"]\"}] returns a 3D gamut of the color space StyleBox[\"colspace\", \"TI\"].\nRowBox[{\"ChromaticityPlot3D\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] plots the specific StyleBox[\"color\", \"TI\"].\nRowBox[{\"ChromaticityPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots multiple colors and color spaces.\nRowBox[{\"ChromaticityPlot3D\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] plots the pixels of StyleBox[\"image\", \"TI\"] as individual colors.\nRowBox[{\"ChromaticityPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"refcolspace\", \"TI\"]}], \"]\"}] uses the reference color space StyleBox[\"refcolspace\", \"TI\"].", - "ChromaticPolynomial":"RowBox[{\"ChromaticPolynomial\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the chromatic polynomial of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ChromaticPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "Circle":"RowBox[{\"Circle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a circle of radius StyleBox[\"r\", \"TI\"] centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].\nRowBox[{\"Circle\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives a circle of radius 1. \nRowBox[{\"Circle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives an axis-aligned ellipse with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]].\nRowBox[{\"Circle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a circular or ellipse arc from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "CircleDot":"RowBox[{\"CircleDot\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊙\", \"y\", \"⊙\", \"…\"}].", - "CircleMinus":"RowBox[{\"CircleMinus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊖\", \"y\"}]. ", - "CirclePlus":"RowBox[{\"CirclePlus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊕\", StyleBox[\"y\", \"TI\"], \"⊕\", \"…\"}].", - "CirclePoints":"RowBox[{\"CirclePoints\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the positions of StyleBox[\"n\", \"TI\"] points equally spaced around the unit circle.\nRowBox[{\"CirclePoints\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions of StyleBox[\"n\", \"TI\"] points equally spaced around a circle of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"CirclePoints\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] starts at angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] with respect to the StyleBox[\"x\", \"TI\"] axis.\nRowBox[{\"CirclePoints\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"rspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] centers the circle at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].", - "CircleTimes":"RowBox[{\"CircleTimes\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"⊗\", \"x\"}].\nRowBox[{\"CircleTimes\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊗\", \"y\", \"⊗\", \"…\"}].", - "CirculantGraph":"RowBox[{\"CirculantGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the circulant graph RowBox[{SubscriptBox[\"C\", \"n\"], \"(\", \"j\", \")\"}] with StyleBox[\"n\", \"TI\"] vertices and jump StyleBox[\"j\", \"TI\"].\nRowBox[{\"CirculantGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the circulant graph RowBox[{SubscriptBox[\"C\", \"n\"], \"(\", RowBox[{SubscriptBox[\"j\", \"1\"], \",\", SubscriptBox[\"j\", \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}] with StyleBox[\"n\", \"TI\"] vertices and jumps SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "CircularOrthogonalMatrixDistribution":"RowBox[{\"CircularOrthogonalMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular orthogonal matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}].", - "CircularQuaternionMatrixDistribution":"RowBox[{\"CircularQuaternionMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular quaternion matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"], \",\", StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"]}], \"}\"}] over the field of complex numbers.", - "CircularRealMatrixDistribution":"RowBox[{\"CircularRealMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular real matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}].", - "CircularSymplecticMatrixDistribution":"RowBox[{\"CircularSymplecticMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular symplectic matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"], \",\", StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"]}], \"}\"}] over the field of complex numbers.", - "CircularUnitaryMatrixDistribution":"RowBox[{\"CircularUnitaryMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a circular unitary matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}].", - "Circumsphere":"RowBox[{\"Circumsphere\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"n\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] returns the RowBox[{\"Sphere\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that circumscribes the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] in SuperscriptBox[\"\", \"n\"].", - "CityData":"RowBox[{\"CityData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the city with the specified name.\nRowBox[{\"CityData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the full specifications of cities whose names are consistent with StyleBox[\"name\", \"TI\"].", - "ClassifierFunction":"RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by Classify that classifies data into classes.", - "ClassifierInformation":"RowBox[{\"ClassifierInformation\", \"[\", StyleBox[\"classifier\", \"TI\"], \"]\"}] generates a report giving information on the classifier function StyleBox[\"classifier\", \"TI\"].\nRowBox[{\"ClassifierInformation\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives information for StyleBox[\"classifier\", \"TI\"] associated with property StyleBox[\"prop\", \"TI\"].", - "ClassifierMeasurements":"RowBox[{\"ClassifierMeasurements\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives measurements associated with property StyleBox[\"prop\", \"TI\"] when StyleBox[\"classifier\", \"TI\"] is evaluated on StyleBox[\"testset\", \"TI\"].\nRowBox[{\"ClassifierMeasurements\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"]}], \"]\"}] yields a RowBox[{\"ClassifierMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to any property.", - "ClassifierMeasurementsObject":"RowBox[{\"ClassifierMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an object generated by ClassifierMeasurements that can be applied to properties.", - "Classify":"RowBox[{\"Classify\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the examples and classes given.\nRowBox[{\"Classify\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also generates a RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the examples and classes given.\nRowBox[{\"Classify\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"class\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on an association of classes with their examples.\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] attempts to classify StyleBox[\"data\", \"TI\"] using a classifier function deduced from the training set given.\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] attempts to classify StyleBox[\"data\", \"TI\"] using the built-in classifier function represented by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property of the classification associated with StyleBox[\"data\", \"TI\"].\nRowBox[{\"Classify\", \"[\", RowBox[{StyleBox[\"classifier\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] takes an existing classifier function and modifies it with the new options given.", - "ClassPriors":"ClassPriors is an option for Classify and related functions that specifies explicit prior probabilities to assume for output classes, independent of anything deduced from the training set.", - "Clear":"RowBox[{\"Clear\", \"[\", RowBox[{SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears values and definitions for the SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Clear\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears values and definitions for all symbols whose names match any of the string patterns SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "ClearAll":"RowBox[{\"ClearAll\", \"[\", RowBox[{SubscriptBox[StyleBox[\"symb\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"symb\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears all values, definitions, attributes, messages, and defaults associated with symbols. \nRowBox[{\"ClearAll\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] clears all symbols whose names textually match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "ClearAttributes":"RowBox[{\"ClearAttributes\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"attr\", \"TI\"]}], \"]\"}] removes StyleBox[\"attr\", \"TI\"] from the list of attributes of the symbol StyleBox[\"s\", \"TI\"]. ", - "ClearCookies":"RowBox[{\"ClearCookies\", \"[\", StyleBox[\"domain\", \"TI\"], \"]\"}] clears all persistent and session cookies associated with the specified domain.\nRowBox[{\"ClearCookies\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] clears all cookies whose attributes match the specification in the association StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"ClearCookies\", \"[\", \"All\", \"]\"}] clears all persistent and session cookies for all domains.", - "ClearPermissions":"RowBox[{\"ClearPermissions\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"class\", \"TI\"]}], \"]\"}] clears permissions for the specified class of users for the cloud object StyleBox[\"obj\", \"TI\"]. \nRowBox[{\"ClearPermissions\", \"[\", StyleBox[\"class\", \"TI\"], \"]\"}] clears permissions for the cloud object corresponding to the current document.", - "ClearSystemCache":"RowBox[{\"ClearSystemCache\", \"[\", \"]\"}] clears internal system caches of stored results.", - "ClebschGordan":"RowBox[{\"ClebschGordan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the Clebsch–Gordan coefficient for the decomposition of RowBox[{RowBox[{RowBox[{\"\", \"j\"}], \",\", \"m\"}], \"〉\"}] in terms of RowBox[{RowBox[{RowBox[{RowBox[{RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"j\", \"TI\"], \"1\"]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"]}], \"〉\"}], \"\", SubscriptBox[StyleBox[\"j\", \"TI\"], \"2\"]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], \"〉\"}]. ", - "ClickPane":"RowBox[{\"ClickPane\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents a clickable pane that displays as StyleBox[\"image\", \"TI\"] and applies StyleBox[\"func\", \"TI\"] to the RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}] coordinates of each click within the pane.\nRowBox[{\"ClickPane\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] specifies the range of coordinates to use.", - "Clip":"RowBox[{\"Clip\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives StyleBox[\"x\", \"TI\"] clipped to be between RowBox[{\"-\", \"1\"}] and RowBox[{\"+\", \"1\"}]. \nRowBox[{\"Clip\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"x\", \"TI\"] for RowBox[{StyleBox[\"min\", \"TI\"], \"≤\", StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"max\", \"TI\"]}], StyleBox[\"min\", \"TI\"] for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"min\", \"TI\"]}] and StyleBox[\"max\", \"TI\"] for RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"max\", \"TI\"]}]. \nRowBox[{\"Clip\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"min\", \"TI\"]}] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] for RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"max\", \"TI\"]}]. ", - "ClipFill":"ClipFill is an option for plotting functions that specifies what should be shown where curves or surfaces would extend beyond the plot range. ", - "ClippingStyle":"ClippingStyle is an option for plotting functions that specifies the style of what should be drawn when curves or surfaces would extend beyond the plot range. ", - "ClipPlanes":"ClipPlanes is an option to Graphics3D that specifies a list of clipping planes that can cut away portions of a 3D scene from the resulting view.", - "ClipPlanesStyle":"ClipPlanesStyle is an option to Graphics3D that specifies how clipping planes defined with the ClipPlanes option should be rendered.", - "ClipRange":"ClipRange is an option to Raster3D that specifies a rectangular region that is cut away from the resulting view.", - "Clock":"RowBox[{\"Clock\", \"[\", \"]\"}] represents a clock variable whose value cycles continuously from 0 to 1 once per second when it appears inside a dynamically updated object such as a Dynamic. \nRowBox[{\"Clock\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] cycles from 0 to StyleBox[\"t\", \"TI\"] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] cycles from 0 to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] cycles through the range SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] cycles through the range SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] over the course of RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]]}] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dv\", \"TI\"]}], \"}\"}], \"]\"}] cycles from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps of StyleBox[\"dv\", \"TI\"], spending StyleBox[\"dv\", \"TI\"] seconds at each value.\nRowBox[{\"Clock\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dv\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] cycles from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps StyleBox[\"dv\", \"TI\"] every StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"Clock\", \"[\", RowBox[{StyleBox[\"vals\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] goes through the cycle only StyleBox[\"n\", \"TI\"] times, then always yields only the maximum value.", - "ClockGauge":"RowBox[{\"ClockGauge\", \"[\", \"]\"}] draws an analog clock face showing the local time with hours, minutes, and seconds.\nRowBox[{\"ClockGauge\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] draws an analog clock face showing the time corresponding to an AbsoluteTime, DateObject, or TimeObject specification.\nRowBox[{\"ClockGauge\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] draws an analog clock face showing hour StyleBox[\"h\", \"TI\"], minute StyleBox[\"m\", \"TI\"], and seconds StyleBox[\"s\", \"TI\"].\nRowBox[{\"ClockGauge\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] draws an analog clock face showing the time corresponding to the date list in a DateList specification.\nRowBox[{\"ClockGauge\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] draws an analog clock face showing the time RowBox[{\"DateList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}].", - "Close":"RowBox[{\"Close\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] closes a stream or socket. ", - "CloseKernels":"RowBox[{\"CloseKernels\", \"[\", \"]\"}] terminates all parallel kernels from the list RowBox[{\"Kernels\", \"[\", \"]\"}].\nRowBox[{\"CloseKernels\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] terminates the kernel StyleBox[\"k\", \"TI\"].\nRowBox[{\"CloseKernels\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] terminates the kernels SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "ClosenessCentrality":"RowBox[{\"ClosenessCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of closeness centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ClosenessCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "Closing":"RowBox[{\"Closing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological closing of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Closing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the closing with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Closing\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies closing to an array of data.", - "ClosingAutoSave":"ClosingAutoSave is an option for notebooks that specifies whether a notebook is automatically saved when it is closed.", - "CloudAccountData":"RowBox[{\"CloudAccountData\", \"[\", \"]\"}] gives data associated with the cloud account currently being used.\nRowBox[{\"CloudAccountData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] associated with the cloud account being used.", - "CloudBase":"CloudBase is an option specifying the base URI of the server to use for cloud operations.", - "CloudConnect":"RowBox[{\"CloudConnect\", \"[\", RowBox[{StyleBox[\"userid\", \"TI\"], \",\", StyleBox[\"password\", \"TI\"]}], \"]\"}] authenticates to the Wolfram Cloud using the specified cloud user ID and password.\nRowBox[{\"CloudConnect\", \"[\", StyleBox[\"userid\", \"TI\"], \"]\"}] shows a dialog to input the password.\nRowBox[{\"CloudConnect\", \"[\", \"]\"}] shows a dialog to input both the cloud user ID and the password.", - "CloudDeploy":"RowBox[{\"CloudDeploy\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] to a new anonymous cloud object.\nRowBox[{\"CloudDeploy\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] to a cloud object at a given URI.\nRowBox[{\"CloudDeploy\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] deploys StyleBox[\"expr\", \"TI\"] to a given cloud object.", - "CloudDirectory":"RowBox[{\"CloudDirectory\", \"[\", \"]\"}] gives a CloudObject representing the current working directory used for cloud objects. ", - "CloudDisconnect":"RowBox[{\"CloudDisconnect\", \"[\", \"]\"}] disconnects a non-cloud instance of the Wolfram Language from the Wolfram Cloud.", - "CloudEvaluate":"RowBox[{\"CloudEvaluate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] in the cloud and returns the result.\nRowBox[{\"CloudEvaluate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the result before returning it.", - "CloudExport":"RowBox[{\"CloudExport\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] exports StyleBox[\"expr\", \"TI\"] to a new anonymous cloud object in the specified format.\nRowBox[{\"CloudExport\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] exports to a cloud object at a given URI.\nRowBox[{\"CloudExport\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] exports to a given cloud object.", - "CloudExpression":"RowBox[{\"CloudExpression\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an expression whose value is persistently stored in the cloud.\nCloudExpression[\"\nStyleBox[\"http\",\nAutoSpacing->False]\nStyleBox[\":\",\nAutoSpacing->False]\nStyleBox[\"\/\/\",\nAutoSpacing->False]\nStyleBox[\"…\", \"TR\"]\"], CloudExpression[\"\nStyleBox[\"https\",\nAutoSpacing->False]\nStyleBox[\":\",\nAutoSpacing->False]\nStyleBox[\"\/\/\",\nAutoSpacing->False]\nStyleBox[\"…\", \"TR\"]\"] represents a cloud expression with a given URI.\nRowBox[{\"CloudExpression\", \"[\", RowBox[{StyleBox[\"base\", \"TI\"], \",\", SubscriptBox[StyleBox[\"part\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"part\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the part of a cloud expression specified by the SubscriptBox[StyleBox[\"part\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "CloudExpressions":"RowBox[{\"CloudExpressions\", \"[\", \"]\"}] gives a list of named cloud expressions owned by you. \nRowBox[{\"CloudExpressions\", \"[\", \"None\", \"]\"}] gives a list of anonymous cloud expressions owned by you.\nRowBox[{\"CloudExpressions\", \"[\", \"All\", \"]\"}] gives a list of all cloud expressions owned by you.", - "CloudFunction":"RowBox[{\"CloudFunction\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] represents a pure function that evaluates RowBox[{StyleBox[\"fun\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}] in the cloud.\nRowBox[{\"CloudFunction\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] represents a function that applies the contents of the specified cloud object.\nRowBox[{\"CloudFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the result of the function before returning it.", - "CloudGet":"RowBox[{\"CloudGet\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads in a cloud object at a given URI, evaluating each expression in it and returning the last one.\nRowBox[{\"CloudGet\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] reads in a given cloud object.", - "CloudImport":"RowBox[{\"CloudImport\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] imports from a cloud object at a given URI.\nRowBox[{\"CloudImport\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements of a cloud object.\nRowBox[{\"CloudImport\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] imports from a given cloud object.", - "CloudLoggingData":"RowBox[{\"CloudLoggingData\", \"[\", \"]\"}] gives summary logging data for all your cloud objects.\nRowBox[{\"CloudLoggingData\", \"[\", StyleBox[\"category\", \"TI\"], \"]\"}] gives summary logging data for all your cloud objects of a particular category.\nRowBox[{\"CloudLoggingData\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gives summary logging data for the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"CloudLoggingData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives aggregated summary logging data for all the objects SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CloudLoggingData\", \"[\", RowBox[{StyleBox[\"objs\", \"TI\"], \",\", StyleBox[\"period\", \"TI\"]}], \"]\"}] gives summary logging data for the specified period.\nRowBox[{\"CloudLoggingData\", \"[\", RowBox[{StyleBox[\"objs\", \"TI\"], \",\", StyleBox[\"period\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives logging data elements specified by StyleBox[\"elems\", \"TI\"].", - "CloudObject":"RowBox[{\"CloudObject\", \"[\", \"]\"}] represents a new anonymous cloud object.\nCloudObject[\"StyleBox[\"http\",AutoSpacing->False]StyleBox[\":\",AutoSpacing->False]StyleBox[\"\/\/\",AutoSpacing->False]StyleBox[\"…\", \"TR\"]\"], CloudObject[\"StyleBox[\"https\",AutoSpacing->False]StyleBox[\":\",AutoSpacing->False]StyleBox[\"\/\/\",AutoSpacing->False]StyleBox[\"…\", \"TR\"]\"] represents a cloud object with a given URI.\nRowBox[{\"CloudObject\", \"[\", \"StyleBox[RowBox[{user, :, StyleBox[user, TI], \/, StyleBox[path, TI]}], AutoSpacing -> False]\", \"]\"}] represents a cloud object of a given StyleBox[\"user\", \"TI\"] with a given StyleBox[\"path\", \"TI\"].\nRowBox[{\"CloudObject\", \"[\", \"StyleBox[RowBox[{\/, StyleBox[abspath, TI]}], AutoSpacing -> False]\", \"]\"}] represents a cloud object of the currently authenticated user at an absolute path.\nRowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a cloud object of the currently authenticated user at a relative path.\nRowBox[{\"CloudObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"cbase\", \"TI\"]}], \"]\"}] represents a cloud object with a path relative to the base StyleBox[\"cbase\", \"TI\"]. ", - "CloudObjects":"RowBox[{\"CloudObjects\", \"[\", \"]\"}] gives a list of cloud objects in your current cloud directory.\nRowBox[{\"CloudObjects\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] gives a list of cloud objects in the cloud directory StyleBox[\"dir\", \"TI\"].\nRowBox[{\"CloudObjects\", \"[\", \"None\", \"]\"}] gives a list of all unnamed cloud objects owned by you.\nRowBox[{\"CloudObjects\", \"[\", RowBox[{StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] gives a list of cloud objects of the specified type.\nRowBox[{\"CloudObjects\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives a list of cloud objects matching the filters defined by the association StyleBox[\"assoc\", \"TI\"].", - "CloudPublish":"RowBox[{\"CloudPublish\", \"[\", \"]\"}] makes a public copy of the current document.\nRowBox[{\"CloudPublish\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] makes a public copy of the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"CloudPublish\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] deploys an expression to the cloud and makes it public.", - "CloudPut":"RowBox[{\"CloudPut\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to a new anonymous cloud object.\nRowBox[{\"CloudPut\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to a cloud object at a given URI.\nRowBox[{\"CloudPut\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to a given cloud object.", - "CloudSave":"RowBox[{\"CloudSave\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] saves definitions associated with the specified symbol to a new anonymous cloud object.\nRowBox[{\"CloudSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] saves definitions associated with all symbols whose names match the string pattern \"\nStyleBox[\"form\", \"TI\"]\". \nRowBox[{\"CloudSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] saves definitions associated with all symbols in the specified context. \nRowBox[{\"CloudSave\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] saves definitions associated with several objects. \nRowBox[{\"CloudSave\", \"[\", RowBox[{StyleBox[\"symspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}] appends definitions associated with StyleBox[\"symspec\", \"TI\"] to the cloud object at the given URI.\nRowBox[{\"CloudSave\", \"[\", RowBox[{StyleBox[\"symspec\", \"TI\"], \",\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] appends definitions to the given cloud object.", - "CloudShare":"RowBox[{\"CloudShare\", \"[\", StyleBox[\"user\", \"TI\"], \"]\"}] shares the current cloud document with the specified user.\nRowBox[{\"CloudShare\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] shares the current document with all the users SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CloudShare\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"users\", \"TI\"]}], \"]\"}] shares the cloud object StyleBox[\"obj\", \"TI\"] with the specified users.", - "CloudSubmit":"RowBox[{\"CloudSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits StyleBox[\"expr\", \"TI\"] for immediate asynchronous cloud evaluation. \nRowBox[{\"CloudSubmit\", \"[\", RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in the cloud on the schedule defined by StyleBox[\"spec\", \"TI\"].", - "CloudSymbol":"RowBox[{\"CloudSymbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a symbol whose value is persistently stored in the cloud.\nRowBox[{\"CloudSymbol\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] represents a persistent symbol corresponding to the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"CloudSymbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uri\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a cloud symbol located at a given URI.", - "CloudUnshare":"RowBox[{\"CloudUnshare\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] cancels sharing of the cloud object StyleBox[\"obj\", \"TI\"] with everyone.\nRowBox[{\"CloudUnshare\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"users\", \"TI\"]}], \"]\"}] cancels sharing with the specified list of users.", - "ClusterClassify":"RowBox[{\"ClusterClassify\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", \"…\", \"]\"}] by partitioning data into clusters of similar elements.\nRowBox[{\"ClusterClassify\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a RowBox[{\"ClassifierFunction\", \"[\", \"…\", \"]\"}] with at most StyleBox[\"n\", \"TI\"] clusters.", - "ClusterDissimilarityFunction":"ClusterDissimilarityFunction is an option for ClusteringTree and Dendrogram that specifies the intercluster dissimilarity.", - "ClusteringComponents":"RowBox[{\"ClusteringComponents\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] gives an array in which each element at the lowest level of StyleBox[\"array\", \"TI\"] is replaced by an integer index representing the cluster in which the element lies.\nRowBox[{\"ClusteringComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] clusters.\nRowBox[{\"ClusteringComponents\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] finds clusters at the specified level in StyleBox[\"array\", \"TI\"].\nRowBox[{\"ClusteringComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds clusters of pixels with similar values in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ClusteringComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] clusters in StyleBox[\"image\", \"TI\"].", - "ClusteringTree":"RowBox[{\"ClusteringTree\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] constructs a weighted tree from the hierarchical clustering of the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ClusteringTree\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed graph.\nRowBox[{\"ClusteringTree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed graph.\nRowBox[{RowBox[{\"ClusteringTree\", \"[\", RowBox[{\"\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[RowBox[{\"2\", \"…\"}], \"TI\"]]}]}], \"\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] using labels SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed graph.\nRowBox[{\"ClusteringTree\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] constructs a weighted tree from the hierarchical clustering of StyleBox[\"data\", \"TI\"] by joining subclusters at distance less than StyleBox[\"h\", \"TI\"]. ", - "CMYKColor":"RowBox[{\"CMYKColor\", \"[\", RowBox[{StyleBox[\"cyan\", \"TI\"], \",\", StyleBox[\"magenta\", \"TI\"], \",\", StyleBox[\"yellow\", \"TI\"], \",\", StyleBox[\"black\", \"TI\"]}], \"]\"}] is a graphics directive specifying that objects that follow are to be displayed, in the color given. \nRowBox[{\"CMYKColor\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. ", - "CodeAssistOptions":"CodeAssistOptions is an option for cells that specifies settings for controlling code input assistance features, including autocompletion, function template insertion, and mouseover behaviors for code.", - "Coefficient":"RowBox[{\"Coefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the coefficient of StyleBox[\"form\", \"TI\"] in the polynomial StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Coefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the coefficient of RowBox[{StyleBox[\"form\", \"TI\"], \"^\", StyleBox[\"n\", \"TI\"]}] in StyleBox[\"expr\", \"TI\"]. ", - "CoefficientArrays":"RowBox[{\"CoefficientArrays\", \"[\", RowBox[{StyleBox[\"polys\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] gives the arrays of coefficients of the variables StyleBox[\"vars\", \"TI\"] in the polynomials StyleBox[\"polys\", \"TI\"]. ", - "CoefficientList":"RowBox[{\"CoefficientList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] gives a list of coefficients of powers of StyleBox[\"var\", \"TI\"] in StyleBox[\"poly\", \"TI\"], starting with power StyleBox[\"0\", \"TR\"]. \nRowBox[{\"CoefficientList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an array of coefficients of the SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"CoefficientList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an array of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dim\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], truncating or padding with zeros as needed.", - "CoefficientRules":"RowBox[{\"CoefficientRules\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of exponent vectors and coefficients for the monomials in StyleBox[\"poly\", \"TI\"] with respect to the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CoefficientRules\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"order\", \"TI\"]}], \"]\"}] gives the result with the monomial ordering specified by StyleBox[\"order\", \"TI\"].", - "CoifletWavelet":"RowBox[{\"CoifletWavelet\", \"[\", \"]\"}] represents a Coiflet wavelet of order 2.\nRowBox[{\"CoifletWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Coiflet wavelet of order StyleBox[\"n\", \"TI\"].", - "Collect":"RowBox[{\"Collect\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] collects together terms involving the same powers of objects matching StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Collect\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] collects together terms that involve the same powers of objects matching SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Collect\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] applies StyleBox[\"h\", \"TI\"] to the expression that forms the coefficient of each term obtained. ", - "Colon":"RowBox[{\"Colon\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"∶\", \"y\", \"∶\", \"…\"}].", - "ColonForm":"RowBox[{\"ColonForm\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] prints as RowBox[{StyleBox[\"a\", \"TI\"], \":\", \" \", StyleBox[\"b\", \"TI\"]}].", - "ColorBalance":"RowBox[{\"ColorBalance\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adjusts the colors in StyleBox[\"image\", \"TI\"] to achieve a balance that simulates the effect of neutral lighting.\nRowBox[{\"ColorBalance\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] adjusts colors in StyleBox[\"image\", \"TI\"] so that the reference color specified by StyleBox[\"ref\", \"TI\"] is mapped to white. \nRowBox[{\"ColorBalance\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"ref\", \"TI\"], \"\", StyleBox[\"target\", \"TI\"]}]}], \"]\"}] maps the reference color StyleBox[\"ref\", \"TI\"] to StyleBox[\"target\", \"TI\"].", - "ColorCombine":"RowBox[{\"ColorCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a multichannel image by combining the sequence of channels in the SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ColorCombine\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"colorspace\", \"TI\"]}], \"]\"}] combines images that represent the color components specified by StyleBox[\"colorspace\", \"TI\"].", - "ColorConvert":"RowBox[{\"ColorConvert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"colspace\", \"TI\"]}], \"]\"}] converts color specifications in StyleBox[\"expr\", \"TI\"] to refer to the color space represented by StyleBox[\"colspace\", \"TI\"].", - "ColorCoverage":"ColorCoverage is an option for DominantColors that specifies the minimum image coverage that each color cluster should have.", - "ColorData":"RowBox[{\"ColorData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"scheme\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a function that generates colors in the named color scheme when applied to parameter values. \nRowBox[{\"ColorData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"scheme\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property of a color scheme.\nRowBox[{\"ColorData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"collection\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of color schemes in a named collection.\nRowBox[{\"ColorData\", \"[\", \"]\"}] gives a list of named collections of color schemes.", - "ColorDataFunction":"RowBox[{\"ColorDataFunction\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a function that represents a color scheme. ", - "ColorDistance":"RowBox[{\"ColorDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the approximate perceptual distance between color directives SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives color distances between elements of StyleBox[\"list\", \"TI\"] and StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives color distances between corresponding elements of SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives an image whose pixel values are color distance between pixels in StyleBox[\"image\", \"TI\"] and the color StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields an image giving the pixelwise color distance between SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ColorFunction":"ColorFunction is an option for graphics functions that specifies a function to apply to determine colors of elements. ", - "ColorFunctionScaling":"ColorFunctionScaling is an option for graphics functions that specifies whether arguments supplied to a color function should be scaled to lie between 0 and 1. ", - "Colorize":"RowBox[{\"Colorize\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates an image from an integer matrix StyleBox[\"m\", \"TI\"], using colors for positive integers and black for non-positive integers.\nRowBox[{\"Colorize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] replaces intensity values in StyleBox[\"image\", \"TI\"] with pseudocolor values.", - "ColorNegate":"RowBox[{\"ColorNegate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the negative of StyleBox[\"image\", \"TI\"], in which all colors have been negated.\nRowBox[{\"ColorNegate\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] gives the negative of a color.", - "ColorOutput":"ColorOutput is an option for graphics functions that specifies the type of color output to produce. ", - "ColorProfileData":"RowBox[{\"ColorProfileData\", \"[\", RowBox[{\"<>\", RowBox[{\",\", RowBox[{StyleBox[\"\\\"Description\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"desc\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \",\", RowBox[{StyleBox[\"\\\"DeviceColorSpace\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"device\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \",\", RowBox[{StyleBox[\"\\\"IndependentColorSpace\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"ics\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}]}]}], \"]\"}] represents an ICC color profile that can convert between the independent color space \"\nStyleBox[\"ics\", \"TI\"]\" and the device-dependent color space \"\nStyleBox[\"device\", \"TI\"]\".", - "ColorQ":"RowBox[{\"ColorQ\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] yields True if StyleBox[\"color\", \"TI\"] is a valid color directive and False otherwise.", - "ColorQuantize":"RowBox[{\"ColorQuantize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives an approximation to StyleBox[\"image\", \"TI\"] that uses at most StyleBox[\"n\", \"TI\"] distinct colors.\nRowBox[{\"ColorQuantize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an image using only the StyleBox[\"n\", \"TI\"] specified colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ColorReplace":"RowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"color\", \"TI\"]}], \"]\"}] finds regions in StyleBox[\"image\", \"TI\"] whose pixel values are similar to StyleBox[\"color\", \"TI\"] and replaces them with transparent pixels.\nRowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"color\", \"TI\"], \"\", StyleBox[\"replacement\", \"TI\"]}]}], \"]\"}] replaces all pixels with the specified StyleBox[\"replacement\", \"TI\"] color.\nRowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"color\", \"TI\"], \"\", StyleBox[\"replacement\", \"TI\"]}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] replaces all pixels whose values are within a distance StyleBox[\"d\", \"TI\"] from StyleBox[\"color\", \"TI\"].\nRowBox[{\"ColorReplace\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"color\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"replacement\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] does multiple color replacements.", - "ColorRules":"ColorRules is an option that specifies how colors of cells should be determined from values. ", - "ColorSelectorSettings":"ColorSelectorSettings is a global option that specifies settings for the StyleBox[\"Color\", \"DialogElementName\"] dialog box.", - "ColorSeparate":"RowBox[{\"ColorSeparate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a list of single-channel images corresponding to each of the color channels in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ColorSeparate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"colorspace\", \"TI\"]}], \"]\"}] gives a list of images corresponding to the components of StyleBox[\"colorspace\", \"TI\"].\nRowBox[{\"ColorSeparate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"channel\", \"TI\"]}], \"]\"}] returns a single-channel image containing the specified StyleBox[\"channel\", \"TI\"].", - "ColorSetter":"RowBox[{\"ColorSetter\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a color setter which displays as a swatch of the specified color and when clicked brings up a system color picker dialog.\nRowBox[{\"ColorSetter\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}], \"]\"}] uses the dynamically updated current value of StyleBox[\"color\", \"TI\"], with the value of StyleBox[\"color\", \"TI\"] being reset if the color is modified.\nRowBox[{\"ColorSetter\", \"[\", \"]\"}] gives a color setter with initial color gray.", - "ColorSetterBoxOptions":"RowBox[{ColorSetterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ColorSetterBox objects.", - "ColorSlider":"RowBox[{\"ColorSlider\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a color slider currently set to the color corresponding to StyleBox[\"color\", \"TI\"].\nRowBox[{\"ColorSlider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}], \"]\"}] uses the dynamically updated current value of StyleBox[\"color\", \"TI\"], with the value of StyleBox[\"color\", \"TI\"] being reset if the color is modified.\nRowBox[{\"ColorSlider\", \"[\", \"]\"}] represents a color slider with an initial gray color.", - "ColorSpace":"ColorSpace is an option for Image and related functions that specifies the color space to which color values refer.", - "ColorToneMapping":"RowBox[{\"ColorToneMapping\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] applies a tone mapping to color values in StyleBox[\"image\", \"TI\"] so as to make variations of luminance visible even in small intervals of the dynamic range. \nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] maps colors by compressing the overall range of luminance values by a factor StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] applies a mapping only to colors whose initial luminance lies in the specified range.\nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] takes the specified range of colors and compresses their overall luminance values by a factor StyleBox[\"c\", \"TI\"].\nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"range\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"range\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses different compression factors SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] for different ranges SubscriptBox[StyleBox[\"range\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ColorToneMapping\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] uses the color compensation factor StyleBox[\"s\", \"TI\"] to correct for saturation distortion introduced during tone mapping.", - "Column":"RowBox[{\"Column\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats with the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] arranged in a column, with SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] above SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. \nRowBox[{\"Column\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"]}], \"]\"}] aligns each element horizontally in the specified way. \nRowBox[{\"Column\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"], \",\", StyleBox[\"spacing\", \"TI\"]}], \"]\"}] leaves the specified number of StyleBox[\"x\", \"TI\"]-heights of spacing between successive elements.", - "ColumnAlignments":"ColumnAlignments is an option for the low-level function GridBox that specifies how entries in each column should be aligned. ", - "ColumnForm":"RowBox[{\"ColumnForm\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] prints as a column with SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] above SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. \nRowBox[{\"ColumnForm\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"horiz\", \"TI\"]}], \"]\"}] specifies the horizontal alignment of each element. \nRowBox[{\"ColumnForm\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"horiz\", \"TI\"], \",\", StyleBox[\"vert\", \"TI\"]}], \"]\"}] also specifies the vertical alignment of the whole column. ", - "ColumnLines":"ColumnLines is an option for the low-level function GridBox which specifies whether lines should be drawn between adjacent columns. ", - "ColumnsEqual":"ColumnsEqual is an option for the low-level function GridBox which specifies whether all columns in the grid should be assigned equal width. ", - "ColumnSpacings":"ColumnSpacings is an option for the low-level function GridBox which specifies the spaces in ems that should be inserted between adjacent columns. ", - "ColumnWidths":"ColumnWidths is an option for the low-level function GridBox which specifies the widths to use for columns. ", - "CombinerFunction":"CombinerFunction is an option for template functions that specifies how fragments should be assembled to give the result of applying a template.", - "CometData":"RowBox[{\"CometData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the comet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CometData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified comet entities.\nRowBox[{\"CometData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "CommonDefaultFormatTypes":"CommonDefaultFormatTypes is an option that specifies default formats for newly created cells.", - "Commonest":"RowBox[{\"Commonest\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the elements that are the most common in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Commonest\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the StyleBox[\"n\", \"TI\"] most common elements in StyleBox[\"list\", \"TI\"].", - "CommonestFilter":"RowBox[{\"CommonestFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"CommonestFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "CommonName":"RowBox[{\"CommonName\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the common name for the entity specified by StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CommonName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the common name for SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]].", - "CommonUnits":"RowBox[{\"CommonUnits\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] converts SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"n\", \"TI\"]] to common units across compatible dimensions.", - "CommunityBoundaryStyle":"CommunityBoundaryStyle is an option to CommunityGraphPlot that specifies how to style community boundaries.", - "CommunityGraphPlot":"RowBox[{\"CommunityGraphPlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a plot showing the community structure of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a plot for the graph StyleBox[\"g\", \"TI\"] with communities RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], ….\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a plot with highlighting features defined by the symbol wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates a plot for a graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"CommunityGraphPlot\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates a plot for a graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", - "CommunityLabels":"CommunityLabels is an option to CommunityGraphPlot that controls what labels and placement to use for communities. ", - "CommunityRegionStyle":"CommunityRegionStyle is an option to CommunityGraphPlot that specifies how to style community regions.", - "CompanyData":"RowBox[{\"CompanyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the company StyleBox[\"entity\", \"TI\"].\nRowBox[{\"CompanyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified company entities.\nRowBox[{\"CompanyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "CompatibleUnitQ":"RowBox[{\"CompatibleUnitQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]] have compatible units, and False otherwise.", - "CompilationOptions":"CompilationOptions is an option for Compile that specifies settings for the compilation process. ", - "CompilationTarget":"CompilationTarget is an option for Compile that specifies the target runtime for the compiled function. ", - "Compile":"RowBox[{\"Compile\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] creates a compiled function that evaluates StyleBox[\"expr\", \"TI\"] assuming numerical values of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Compile\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] assumes that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is of a type that matches SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Compile\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] assumes that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is a rank SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] array of objects, each of a type that matches SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Compile\", \"[\", RowBox[{StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] assumes that subexpressions in StyleBox[\"expr\", \"TI\"] that match SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] are of types that match SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Compiled":"Compiled is an option for various numerical and plotting functions which specifies whether the expressions they work with should automatically be compiled. ", - "CompiledFunction":"RowBox[{\"CompiledFunction\", \"[\", StyleBox[\"args…\", \"TI\"], \"]\"}] represents compiled code for evaluating a compiled function. ", - "Complement":"RowBox[{\"Complement\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"all\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the elements in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"all\", \"TI\"]] that are not in any of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "CompleteGraph":"RowBox[{\"CompleteGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the complete graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"K\", \"n\"].\nRowBox[{\"CompleteGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] gives the complete StyleBox[\"k\", \"TI\"]-partite graph with RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"+\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"+\", \"⋯\", \"+\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}] vertices SubscriptBox[\"K\", RowBox[{SubscriptBox[\"n\", \"1\"], \",\", SubscriptBox[\"n\", \"2\"], \",\", \"…\", \",\", SubscriptBox[\"n\", \"k\"]}]].", - "CompleteGraphQ":"RowBox[{\"CompleteGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a complete graph, and False otherwise.\nRowBox[{\"CompleteGraphQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"]}], \"]\"}] yields True if the subgraph induced by StyleBox[\"vlist\", \"TI\"] is a complete graph, and False otherwise.", - "CompleteKaryTree":"RowBox[{\"CompleteKaryTree\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the complete binary tree with StyleBox[\"n\", \"TI\"] levels.\nRowBox[{\"CompleteKaryTree\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the complete StyleBox[\"k\", \"TI\"]-ary tree with StyleBox[\"n\", \"TI\"] levels.", - "Complex":"Complex is the head used for complex numbers. ", - "Complexes":"Complexes represents the domain of complex numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Complexes\"}]. ", - "ComplexExpand":"RowBox[{\"ComplexExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands StyleBox[\"expr\", \"TI\"] assuming that all variables are real. \nRowBox[{\"ComplexExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] expands StyleBox[\"expr\", \"TI\"] assuming that variables matching any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are complex. ", - "ComplexInfinity":"ComplexInfinity represents a quantity with infinite magnitude, but undetermined complex phase. ", - "ComplexityFunction":"ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression. ", - "ComponentMeasurements":"RowBox[{\"ComponentMeasurements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"lmat\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" for components of StyleBox[\"image\", \"TI\"] indicated by the label matrix StyleBox[\"lmat\", \"TI\"].\nRowBox[{\"ComponentMeasurements\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" for connected components of StyleBox[\"image\", \"TI\"]. \nRowBox[{\"ComponentMeasurements\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] only returns measurements for components that satisfy the criterion StyleBox[\"crit\", \"TI\"].\nRowBox[{\"ComponentMeasurements\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] formats the result according to the output specification StyleBox[\"format\", \"TI\"].", - "ComposeList":"RowBox[{\"ComposeList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] generates a list of the form RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. ", - "ComposeSeries":"RowBox[{\"ComposeSeries\", \"[\", RowBox[{SubscriptBox[StyleBox[\"series\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"series\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] composes several power series. ", - "CompositeQ":"RowBox[{\"CompositeQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a composite number, and yields False otherwise. ", - "Composition":"RowBox[{\"Composition\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a composition of the functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], …. ", - "CompoundElement":"RowBox[{\"CompoundElement\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a form or interpreter specification for a list of fields or inputs that gives a list of results.\nRowBox[{\"CompoundElement\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] represents a form or interpreter specification that gives an association of results.", - "CompoundExpression":"RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \";\", StyleBox[\"…\", \"TR\"]}] evaluates the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] in turn, giving the last one as the result. ", - "CompoundPoissonDistribution":"RowBox[{\"CompoundPoissonDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents a compound Poisson distribution with rate parameter StyleBox[\"λ\", \"TR\"] and jump size distribution StyleBox[\"dist\", \"TI\"].", - "CompoundPoissonProcess":"RowBox[{\"CompoundPoissonProcess\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"jdist\", \"TI\"]}], \"]\"}] represents a compound Poisson process with rate parameter StyleBox[\"λ\", \"TR\"] and jump size distribution StyleBox[\"jdist\", \"TI\"].", - "CompoundRenewalProcess":"RowBox[{\"CompoundRenewalProcess\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"jdist\", \"TI\"]}], \"]\"}] represents a compound renewal process with renewal-time distribution StyleBox[\"rdist\", \"TI\"] and jump size distribution StyleBox[\"jdist\", \"TI\"].", - "Compress":"RowBox[{\"Compress\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a compressed representation of StyleBox[\"expr\", \"TI\"] as a string. ", - "Condition":"RowBox[{StyleBox[\"patt\", \"TI\"], \"\/;\", StyleBox[\"test\", \"TI\"]}] is a pattern which matches only if the evaluation of StyleBox[\"test\", \"TI\"] yields True. \nRowBox[{StyleBox[\"lhs\", \"TI\"], \":>\", RowBox[{StyleBox[\"rhs\", \"TI\"], \"\/;\", StyleBox[\"test\", \"TI\"]}]}] represents a rule which applies only if the evaluation of StyleBox[\"test\", \"TI\"] yields True. \nRowBox[{StyleBox[\"lhs\", \"TI\"], \":=\", RowBox[{StyleBox[\"rhs\", \"TI\"], \"\/;\", StyleBox[\"test\", \"TI\"]}]}] is a definition to be used only if StyleBox[\"test\", \"TI\"] yields True. ", - "ConditionalExpression":"RowBox[{\"ConditionalExpression\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] is a symbolic construct that represents the expression StyleBox[\"expr\", \"TI\"] when the condition StyleBox[\"cond\", \"TI\"] is True.", - "Conditioned":"RowBox[{\"Conditioned\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"expr\", \"TI\"], \"\", StyleBox[\"cond\", \"TI\"]}] represents StyleBox[\"expr\", \"TI\"] conditioned by the predicate StyleBox[\"cond\", \"TI\"].", - "Cone":"RowBox[{\"Cone\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a cone with a base of radius StyleBox[\"r\", \"TI\"] centered at RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \")\"}] and a tip at RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \")\"}]. \nRowBox[{\"Cone\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \"]\"}] represents a cone with a base of radius 1.", - "ConfidenceLevel":"ConfidenceLevel is an option for LinearModelFit and other fitting functions that specifies the level to use in various confidence and prediction intervals and bands.", - "ConfidenceRange":"ConfidenceRange is an option for SurvivalModelFit and other functions that specifies the range over which simultaneous confidence intervals and bands are computed.", - "ConfidenceTransform":"ConfidenceTransform is an option for functions such as SurvivalModelFit that specifies the transformation used for confidence intervals and bands.", - "ConfigurationPath":"ConfigurationPath is a global option that specifies which directories are searched for systemwide configuration information.", - "ConformAudio":"RowBox[{\"ConformAudio\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns a list of audio objects where all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]] are made to have conforming properties, including duration, data type, and number of channels.\nRowBox[{\"ConformAudio\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] returns all audio objects of the specified StyleBox[\"spec\", \"TI\"].", - "ConformImages":"RowBox[{\"ConformImages\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns a list of images where all SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] are made to have conforming properties, including dimensions, data type, color space, and interleaving.\nRowBox[{\"ConformImages\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] returns all images of the specified StyleBox[\"spec\", \"TI\"].\nRowBox[{\"ConformImages\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"fitting\", \"TI\"]}], \"]\"}] resizes images using the specified StyleBox[\"fitting\", \"TI\"] method.", - "Congruent":"RowBox[{\"Congruent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\", FontSize -> 10]}], \"]\"}] displays as RowBox[{\"x\", \"≡\", \"y\", \"≡\", \"…\"}].", - "ConicHullRegion":"RowBox[{\"ConicHullRegion\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"m\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull region passing through points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ConicHullRegion\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull region passing through the point StyleBox[\"p\", \"TI\"] and parallel to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ConicHullRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"m\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull plus the conic hull generated by the vectors SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"ConicHullRegion\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the StyleBox[\"m\", \"TI\"]-dimensional affine hull plus the conic hull generated by the vectors SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].", - "Conjugate":"RowBox[{\"Conjugate\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] or RowBox[{StyleBox[\"z\", \"TI\"], \"\"}] gives the complex conjugate of the complex number StyleBox[\"z\", \"TI\"]. ", - "ConjugateTranspose":"RowBox[{\"ConjugateTranspose\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] or SuperscriptBox[\"m\", \"\"] gives the conjugate transpose of m. ", - "Conjunction":"RowBox[{\"Conjunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the conjunction of StyleBox[\"expr\", \"TI\"] over all choices of the Boolean variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Connect":"Connect is a setting for the LinkMode option of LinkOpen. LinkMode->Connect causes a link to be created that will connect to a link listening on a named port.", - "ConnectedComponents":"RowBox[{\"ConnectedComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"ConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"ConnectedComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "ConnectedGraphComponents":"RowBox[{\"ConnectedGraphComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"ConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"ConnectedGraphComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "ConnectedGraphQ":"RowBox[{\"ConnectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is connected, and False otherwise.", - "ConnectedMeshComponents":"RowBox[{\"ConnectedMeshComponents\", \"[\", StyleBox[\"mr\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of disjoint path connected meshed regions.", - "ConnectLibraryCallbackFunction":"RowBox[{\"ConnectLibraryCallbackFunction\", \"[\", RowBox[{StyleBox[\"mname\", \"TI\"], \",\", StyleBox[\"cf\", \"TI\"]}], \"]\"}] connects a CompiledFunction StyleBox[\"cf\", \"TI\"] with the library callback manager with name StyleBox[\"mname\", \"TI\"].", - "ConnectSystemModelComponents":"RowBox[{\"ConnectSystemModelComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"∈\", SubscriptBox[StyleBox[\"comp\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TI\"]].StyleBox[\"a\", \"TI\"], \"\", SubscriptBox[StyleBox[\"c\", \"TI\"], \"2\"].StyleBox[\"b\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a system model by connecting connector \"StyleBox[\"a\", \"TI\"]\" of component \"SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]\" with connector \"StyleBox[\"b\", \"TI\"]\" of component \"StyleBox[\"c2\", \"TI\"]\" etc.", - "ConnesWindow":"RowBox[{\"ConnesWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Connes window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"ConnesWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "ConoverTest":"RowBox[{\"ConoverTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are equal.\nRowBox[{\"ConoverTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ConoverTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Constant":"Constant is an attribute that indicates zero derivative of a symbol with respect to all parameters. ", - "ConstantArray":"RowBox[{\"ConstantArray\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of StyleBox[\"n\", \"TI\"] copies of the element StyleBox[\"c\", \"TI\"].\nRowBox[{\"ConstantArray\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates an RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}] array of nested lists containing copies of the element StyleBox[\"c\", \"TI\"].", - "ConstantArrayLayer":"RowBox[{\"ConstantArrayLayer\", \"[\", \"]\"}] represents a layer that has no input and produces as output a constant array.\nRowBox[{\"ConstantArrayLayer\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] includes options for initial value of the array or output size.", - "ConstantImage":"RowBox[{\"ConstantImage\", \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified StyleBox[\"size\", \"TI\"] with constant pixel values of StyleBox[\"val\", \"TI\"].\nRowBox[{\"ConstantImage\", \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an image converted to the specified type.", - "ConstantPlusLayer":"RowBox[{\"ConstantPlusLayer\", \"[\", \"]\"}] represents a layer that adds a learnable bias to its input.\nRowBox[{\"ConstantPlusLayer\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] includes options for initial bias and other parameters. ", - "ConstantRegionQ":"RowBox[{\"ConstantRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if the StyleBox[\"reg\", \"TI\"] is a constant region and False otherwise.", - "Constants":"Constants is an option for Dt which gives a list of objects to be taken as constants. ", - "ConstantTimesLayer":"RowBox[{\"ConstantTimesLayer\", \"[\", \"]\"}] represents a layer that multiplies its input by a learnable scaling tensor.\nRowBox[{\"ConstantTimesLayer\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] includes options for initial scaling and other parameters. ", - "ConstellationData":"RowBox[{\"ConstellationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the constellation StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ConstellationData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified constellation entities.\nRowBox[{\"ConstellationData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Construct":"RowBox[{\"Construct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}].\nRowBox[{\"Construct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}] gives RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}].", - "Containing":"RowBox[{\"Containing\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"outer\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"inner\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents an object of type StyleBox[\"outer\", \"TI\"] containing objects of type StyleBox[\"inner\", \"TI\"].", - "ContainsAll":"RowBox[{\"ContainsAll\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains all of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsAll\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains all of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ContainsAny":"RowBox[{\"ContainsAny\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains any of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsAny\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains any of the elements in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ContainsExactly":"RowBox[{\"ContainsExactly\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains exactly the same elements as SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsExactly\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains exactly the same elements as SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ContainsNone":"RowBox[{\"ContainsNone\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains none of the elements in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsNone\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains none of the elements of SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ContainsOnly":"RowBox[{\"ContainsOnly\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains only elements that appear in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ContainsOnly\", \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}] is an operator form that yields True when the object to which it is applied contains only elements that appear in SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ContentFieldOptions":"ContentFieldOptions is an option for CreateSearchIndex and related functions that allows options to be specified for handling different fields in content that is being indexed.", - "ContentLocationFunction":"ContentLocationFunction is an option to CreateSearchIndex and related functions that specifies how to determine locations to be used for hyperlinks and related constructs in the resulting index.", - "ContentObject":"RowBox[{\"ContentObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a content object whose content is StyleBox[\"string\", \"TI\"].\nRowBox[{\"ContentObject\", \"[\", RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] gives a content object whose content is stored in the specified file.\nRowBox[{\"ContentObject\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a content object with a sequence of fields with names SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ContentPadding":"ContentPadding is an option for objects that can be displayed with frames that specifies whether the vertical margins should shrink wrap tightly around the contents.", - "ContentSelectable":"ContentSelectable is an option to constructs such as Inset, Graphics, and GraphicsGroup that specifies whether and how content within them should be selectable. ", - "ContentSize":"ContentSize is an option for Manipulate and other functions that specifies the size of the content area to use.", - "Context":"RowBox[{\"Context\", \"[\", \"]\"}] gives the current context. \nRowBox[{\"Context\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the context in which a symbol appears. ", - "Contexts":"RowBox[{\"Contexts\", \"[\", \"]\"}] gives a list of all contexts. \nRowBox[{\"Contexts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the contexts that match the string. ", - "ContextToFileName":"RowBox[{\"ContextToFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the string specifying the file name that is by convention associated with a particular context.", - "Continue":"RowBox[{\"Continue\", \"[\", \"]\"}] exits to the nearest enclosing Do, For, or While in a procedural program. ", - "ContinuedFraction":"RowBox[{\"ContinuedFraction\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of the first StyleBox[\"n\", \"TI\"] terms in the continued fraction representation of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"ContinuedFraction\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] generates a list of all terms that can be obtained given the precision of StyleBox[\"x\", \"TI\"]. ", - "ContinuedFractionK":"RowBox[{\"ContinuedFractionK\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the continued fraction RowBox[{SubsuperscriptBox[\"Κ\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"f\", \"\/\", \"g\"}]}].\nRowBox[{\"ContinuedFractionK\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the continued fraction RowBox[{SubsuperscriptBox[\"Κ\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"1\", \"\/\", \"g\"}]}].", - "ContinuousAction":"ContinuousAction is an option for Manipulate, Slider, and related functions that specifies whether action should be taken continuously while controls are being moved.", - "ContinuousMarkovProcess":"RowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a continuous-time finite-state Markov process with transition rate matrix StyleBox[\"q\", \"TI\"] and initial state SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a Markov process with initial state probability vector SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Markov process with transition matrix StyleBox[\"m\", \"TI\"] and transition rates StyleBox[\"μ\", \"TR\"].\nRowBox[{\"ContinuousMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] represents a Markov process transition rate matrix from the graph StyleBox[\"g\", \"TI\"]. ", - "ContinuousTask":"RowBox[{\"ContinuousTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents a task in which StyleBox[\"expr\", \"TI\"] is continuously reevaluated.\nRowBox[{\"ContinuousTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"]\"}] represents a task in which StyleBox[\"expr\", \"TI\"] is continuously reevaluated until the time specified by StyleBox[\"end\", \"TI\"].\nRowBox[{\"ContinuousTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"tspan\", \"TI\"]}], \"]\"}] represents a task in which StyleBox[\"expr\", \"TI\"] is continuously reevaluated over the time span StyleBox[\"tspan\", \"TI\"].", - "ContinuousTimeModelQ":"RowBox[{\"ContinuousTimeModelQ\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives True if StyleBox[\"lsys\", \"TI\"] is a continuous-time systems model, and False otherwise.", - "ContinuousWaveletData":"RowBox[{\"ContinuousWaveletData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"oct\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"voc\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"->\", SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] yields a continuous wavelet data object with wavelet coefficients SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to octave and voice RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"oct\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"voc\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] and wavelet StyleBox[\"wave\", \"TI\"].", - "ContinuousWaveletTransform":"RowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the continuous wavelet transform of a list of values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the continuous wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"noct\", \"TI\"], \",\", StyleBox[\"nvoc\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the continuous wavelet transform using StyleBox[\"noct\", \"TI\"] octaves with StyleBox[\"nvoc\", \"TI\"] voices per octave.\nRowBox[{\"ContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"sound\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the continuous wavelet transform of sampled sound.", - "ContourDetect":"RowBox[{\"ContourDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to the zeros and zero crossings in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ContourDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"delta\", \"TI\"]}], \"]\"}] treats values in StyleBox[\"image\", \"TI\"] that are smaller in absolute value than StyleBox[\"delta\", \"TI\"] as zero.\nRowBox[{\"ContourDetect\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a binary sparse array in which 1 corresponds to zeros and zero crossings in StyleBox[\"array\", \"TI\"]. ", - "ContourGraphics":"RowBox[{\"ContourGraphics\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a representation of a contour plot. ", - "ContourLabels":"ContourLabels is an option for contour plots that specifies how to label contours. ", - "ContourLines":"ContourLines is an option for contour plots that specifies whether to draw explicit contour lines. ", - "ContourPlot":"RowBox[{\"ContourPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a contour plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"ContourPlot\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"==\", StyleBox[\"g\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots contour lines for which RowBox[{StyleBox[\"f\", \"TI\"], \"=\", StyleBox[\"g\", \"TI\"]}]. \nRowBox[{\"ContourPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"==\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"==\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several contour lines. \nRowBox[{\"ContourPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", - "ContourPlot3D":"RowBox[{\"ContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] produces a three-dimensional contour plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"]. \nRowBox[{\"ContourPlot3D\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"==\", StyleBox[\"g\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots the contour surface for which RowBox[{\"f\", \"=\", \"g\"}]. ", - "Contours":"Contours is an option for contour plots that specifies the contours to draw. ", - "ContourShading":"ContourShading is an option for contour plots that specifies how the regions between contour lines should be shaded. ", - "ContourStyle":"ContourStyle is an option for contour plots that specifies the style in which contour lines or surfaces should be drawn. ", - "ContraharmonicMean":"RowBox[{\"ContraharmonicMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the contraharmonic mean of the values in StyleBox[\"list\", \"TI\"].\nRowBox[{\"ContraharmonicMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the order StyleBox[\"p\", \"TI\"] Lehmer contraharmonic mean.", - "ContrastiveLossLayer":"RowBox[{\"ContrastiveLossLayer\", \"[\", \"]\"}] represents a loss layer that computes a loss based on a distance metric and a target that specifies whether the distance should be minimized or maximized.\nRowBox[{\"ContrastiveLossLayer\", \"[\", StyleBox[\"margin\", \"TI\"], \"]\"}] specifies a distance above which the loss is zero for True targets.", - "Control":"RowBox[{\"Control\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"}\"}], \"]\"}] represents an interactive control for the variable StyleBox[\"u\", \"TI\"] in the domain StyleBox[\"dom\", \"TI\"], with the type of control chosen to be appropriate for the domain specified.\nRowBox[{\"Control\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"]}], \"}\"}], \"]\"}] represents a control with initial value SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]].", - "ControlActive":"RowBox[{\"ControlActive\", \"[\", RowBox[{StyleBox[\"act\", \"TI\"], \",\", StyleBox[\"norm\", \"TI\"]}], \"]\"}] evaluates to StyleBox[\"act\", \"TI\"] if a control that affects StyleBox[\"act\", \"TI\"] is actively being used, and to StyleBox[\"norm\", \"TI\"] otherwise.", - "ControllabilityGramian":"RowBox[{\"ControllabilityGramian\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the controllability Gramian of the state-space model StyleBox[\"ssm\", \"TI\"].", - "ControllabilityMatrix":"RowBox[{\"ControllabilityMatrix\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the controllability matrix of the state-space model StyleBox[\"ssm\", \"TI\"].", - "ControllableDecomposition":"RowBox[{\"ControllableDecomposition\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] yields the controllable subsystem of the state-space model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"ControllableDecomposition\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the new state variables SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ControllableModelQ":"RowBox[{\"ControllableModelQ\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] yields True if the state-space model StyleBox[\"sys\", \"TI\"] is controllable, and False otherwise.\nRowBox[{\"ControllableModelQ\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"sub\", \"TI\"]}], \"}\"}], \"]\"}] yields True if the subsystem StyleBox[\"sub\", \"TI\"] is controllable.", - "ControllerInformation":"RowBox[{\"ControllerInformation\", \"[\", \"]\"}] gives dynamically updated information on currently connected controller devices.", - "ControllerLinking":"ControllerLinking is an option for Manipulate, Graphics3D, Plot3D, and related functions that specifies whether to allow interactive control by external controllers.", - "ControllerManipulate":"RowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a version of StyleBox[\"expr\", \"TI\"] set up to allow interactive manipulation of the value of StyleBox[\"u\", \"TI\"] using an external controller device.\nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] allows the value of StyleBox[\"u\", \"TI\"] to vary between SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the initial value of StyleBox[\"u\", \"TI\"] to be SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] allows StyleBox[\"u\", \"TI\"] to take on discrete values SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows each of the StyleBox[\"u\", \"TI\"], StyleBox[\"v\", \"TI\"], … to be manipulated by the external controller device. \nRowBox[{\"ControllerManipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"u\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"v\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] links the parameters to the specified controllers on the external controller device.", - "ControllerMethod":"ControllerMethod is an option for Manipulate, Graphics3D, Plot3D, and related functions that specifies the default way that controls on an external controller device should apply.", - "ControllerPath":"ControllerPath is an option that gives a list of external controllers or classes of controllers to try for functions such as ControllerState, Manipulate, and Graphics3D.", - "ControllerState":"RowBox[{\"ControllerState\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the state of the control StyleBox[\"c\", \"TI\"] for the first connected controller device on which it is supported.\nRowBox[{\"ControllerState\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the states of several controls.\nRowBox[{\"ControllerState\", \"[\", RowBox[{StyleBox[\"id\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the state of control StyleBox[\"c\", \"TI\"] for controller devices with the specified identifier.\nRowBox[{\"ControllerState\", \"[\", RowBox[{StyleBox[\"id\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the states of several controls for several controller devices.", - "ControlPlacement":"ControlPlacement is an option for Manipulate, TabView, and other control objects that specifies where controls should be placed.", - "ControlsRendering":"ControlsRendering is a Style option that specifies how controls should be rendered.", - "ControlType":"ControlType is an option for Manipulate and related functions that specifies what type of controls should be displayed.", - "Convergents":"RowBox[{\"Convergents\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the convergents corresponding to the continued fraction terms StyleBox[\"list\", \"TI\"].\nRowBox[{\"Convergents\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] convergents for a number StyleBox[\"x\", \"TI\"].\nRowBox[{\"Convergents\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives if possible all convergents leading to the number StyleBox[\"x\", \"TI\"].", - "ConversionOptions":"ConversionOptions is an option to Import and Export used to pass special options to a particular format.", - "ConversionRules":"ConversionRules is an option for Cell that can be set to a list of rules specifying how the contents of the cell are to be converted to external formats. ", - "ConvertToPostScriptPacket":"ConvertToPostScriptPacket is an internal symbol used for formatting.", - "ConvexHullMesh":"RowBox[{\"ConvexHullMesh\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a BoundaryMeshRegion representing the convex hull from the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "ConvolutionLayer":"RowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents a trainable convolutional net layer having StyleBox[\"n\", \"TI\"] output channels and using kernels of size StyleBox[\"s\", \"TI\"] to compute the convolution.\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] represents a layer performing one-dimensional convolutions with kernels of size StyleBox[\"s\", \"TI\"].\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a layer performing two-dimensional convolution with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a three-dimensional convolution with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"], StyleBox[\"×\", \"TI\", FontSlant -> \"Plain\"], StyleBox[\"d\", \"TI\"]}].\nRowBox[{\"ConvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"kernel\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for padding and other parameters.", - "Convolve":"RowBox[{\"Convolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the convolution with respect to StyleBox[\"x\", \"TI\"] of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"].\nRowBox[{\"Convolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional convolution.", - "ConwayGroupCo1":"RowBox[{\"ConwayGroupCo1\", \"[\", \"]\"}] represents the sporadic simple Conway group SubscriptBox[\"Co\", StyleBox[\"1\", \"TR\"]].", - "ConwayGroupCo2":"RowBox[{\"ConwayGroupCo2\", \"[\", \"]\"}] represents the sporadic simple Conway group SubscriptBox[\"Co\", StyleBox[\"2\", \"TR\"]].", - "ConwayGroupCo3":"RowBox[{\"ConwayGroupCo3\", \"[\", \"]\"}] represents the sporadic simple Conway group SubscriptBox[\"Co\", StyleBox[\"3\", \"TR\"]].", - "CookieFunction":"CookieFunction is an option for URLRead, HTTPRequest, and related functions that gives a function to apply to each cookie received when an HTTP response is received.", - "CoordinateBoundingBox":"RowBox[{CoordinateBoundingBox, \"[\", StyleBox[\"coords\", \"TI\"], \"]\"}] gives the corners RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}] of the bounding box of the region defined by StyleBox[\"coords\", \"TI\"].\nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the region by δ in each direction.\nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads by the scaled amount StyleBox[\"s\", \"TI\"] in each direction.\nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in successive dimensions. \nRowBox[{CoordinateBoundingBox, \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"max\"}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"max\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"min\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"min\"}], \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \"max\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \"max\"}], \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] ", - "CoordinateBoundingBoxArray":"RowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] generates an array of RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] coordinates with integer steps in each dimension.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses step StyleBox[\"d\", \"TI\"] in each dimension.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"Into\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}]}], \"]\"}] divides into StyleBox[\"n\", \"TI\"] equal steps in each dimension.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"]}], \"]\"}] specifies offsets to use for each coordinate point.\nRowBox[{CoordinateBoundingBoxArray, \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] expands the array by StyleBox[\"k\", \"TI\"] elements in every direction. ", - "CoordinateBounds":"RowBox[{\"CoordinateBounds\", \"[\", StyleBox[\"coords\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of the bounds in each dimension of the region defined by StyleBox[\"coords\", \"TI\"]. \nRowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the ranges of coordinates by RowBox[{\"±\", StyleBox[\"δ\", \"TR\"]}] in each dimension.\nRowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads by the scaled amount StyleBox[\"s\", \"TI\"] in each dimension.\nRowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{RowBox[{\"CoordinateBounds\", \"[\", RowBox[{StyleBox[\"coords\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}]}]}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"1\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"-\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"min\"}], \"TI\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"+\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{StyleBox[\"2\", FontSlant -> \"Plain\"], \"max\"}], \"TI\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]", - "CoordinateBoundsArray":"RowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an array of RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] coordinates with integer steps in each dimension.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses step StyleBox[\"d\", \"TI\"] in each dimension.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"], StyleBox[\"…\", \"TR\"] in successive dimensions.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"Into\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}]}], \"]\"}] divides into StyleBox[\"n\", \"TI\"] equal steps in each dimension.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"]}], \"]\"}] specifies offsets to use for each coordinate point.\nRowBox[{\"CoordinateBoundsArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"xrange\", \"TI\"], \",\", StyleBox[\"yrange\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"steps\", \"TI\"], \",\", StyleBox[\"offsets\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] expands the array by StyleBox[\"k\", \"TI\"] elements in every direction. ", - "CoordinateChartData":"RowBox[{\"CoordinateChartData\", \"[\", RowBox[{StyleBox[\"chart\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for StyleBox[\"chart\", \"TI\"].\nRowBox[{\"CoordinateChartData\", \"[\", RowBox[{StyleBox[\"chart\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the value of the specified property for StyleBox[\"chart\", \"TI\"] evaluated at the point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", - "CoordinatesToolOptions":"CoordinatesToolOptions is an option for Graphics that gives values of options associated with the StyleBox[\"Get Coordinates\", \"MenuName\"] tool.", - "CoordinateTransform":"RowBox[{\"CoordinateTransform\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"pt\", \"TI\"]}], \"]\"}] performs the coordinate transformation StyleBox[\"t\", \"TI\"] on the point StyleBox[\"pt\", \"TI\"].\nRowBox[{\"CoordinateTransform\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] transforms several points.", - "CoordinateTransformData":"RowBox[{\"CoordinateTransformData\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the coordinate transformation StyleBox[\"t\", \"TI\"].\nRowBox[{\"CoordinateTransformData\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the value of the property evaluated at the point RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", - "CoprimeQ":"RowBox[{\"CoprimeQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] are relatively prime, and yields False otherwise. \nRowBox[{\"CoprimeQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields True if all pairs of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] are relatively prime, and yields False otherwise. ", - "Coproduct":"RowBox[{\"Coproduct\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"∐\", \"y\", \"∐\", \"…\"}].", - "CopulaDistribution":"RowBox[{\"CopulaDistribution\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a copula distribution with kernel distribution StyleBox[\"ker\", \"TI\"] and marginal distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", - "Copyable":"Copyable is an option for Cell that specifies whether a cell can be copied interactively using the front end. ", - "CopyDatabin":"RowBox[{\"CopyDatabin\", \"[\", StyleBox[\"bin\", \"TI\"], \"]\"}] creates a copy of a databin.\nRowBox[{\"CopyDatabin\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] creates a copy with the specified options.", - "CopyDirectory":"RowBox[{\"CopyDirectory\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] copies the directory SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "CopyFile":"RowBox[{\"CopyFile\", \"[\", RowBox[{SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] copies from the local or cloud file SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]] to the local or cloud file SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "CopyToClipboard":"RowBox[{\"CopyToClipboard\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces the contents of the clipboard with StyleBox[\"expr\", \"TI\"].", - "CornerFilter":"RowBox[{\"CornerFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] computes a measure for the presence of a corner for each pixel in StyleBox[\"image\", \"TI\"] and returns the result as an intensity image.\nRowBox[{\"CornerFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] detects corners at a pixel range StyleBox[\"r\", \"TI\"].", - "CornerNeighbors":"CornerNeighbors is an option for various array and image processing functions that specifies whether diagonally adjacent corners should be considered neighbors of particular elements. ", - "Correlation":"RowBox[{\"Correlation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the correlation between the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Correlation\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the correlation matrix for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"Correlation\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the correlation matrix for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Correlation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Correlation\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"]. ", - "CorrelationDistance":"RowBox[{\"CorrelationDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the correlation coefficient distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "CorrelationFunction":"RowBox[{\"CorrelationFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the correlation function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"CorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the correlation function at lags StyleBox[\"hspec\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. \nRowBox[{\"CorrelationFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the correlation function at times StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. ", - "CorrelationTest":"RowBox[{\"CorrelationTest\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the correlation coefficient for a bivariate population is zero.\nRowBox[{\"CorrelationTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"ρ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests whether the correlation coefficient is SubscriptBox[StyleBox[\"ρ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"CorrelationTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether the correlation coefficients for two populations are equal.\nRowBox[{\"CorrelationTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Cos":"RowBox[{\"Cos\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cosine of StyleBox[\"z\", \"TI\"]. ", - "Cosh":"RowBox[{\"Cosh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cosine of StyleBox[\"z\", \"TI\"]. ", - "CoshIntegral":"RowBox[{\"CoshIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cosine integral RowBox[{\"Chi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "CosineDistance":"RowBox[{\"CosineDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the angular cosine distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "CosineWindow":"RowBox[{\"CosineWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a cosine window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"CosineWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the exponent StyleBox[\"α\", \"TR\"].", - "CosIntegral":"RowBox[{\"CosIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cosine integral function RowBox[{\"Ci\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "Cot":"RowBox[{\"Cot\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cotangent of StyleBox[\"z\", \"TI\"]. ", - "Coth":"RowBox[{\"Coth\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cotangent of StyleBox[\"z\", \"TI\"]. ", - "Count":"RowBox[{\"Count\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives the number of elements in StyleBox[\"list\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"Count\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives the total number of subexpressions matching StyleBox[\"pattern\", \"TI\"] that appear at the levels in StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Count\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of Count that can be applied to an expression.", - "CountDistinct":"RowBox[{\"CountDistinct\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the number of distinct elements that appear in StyleBox[\"list\", \"TI\"].", - "CountDistinctBy":"RowBox[{\"CountDistinctBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the number of distinct values of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] that occur.\nRowBox[{\"CountDistinctBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of CountDistinctBy that can be applied to an expression.", - "CounterAssignments":"CounterAssignments is an option for selections that sets the value of a specified counter.", - "CounterBoxOptions":"RowBox[{CounterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for CounterBox objects.", - "CounterFunction":"CounterFunction is an option for counters that specifies the symbols used to display the value of the counter.", - "CounterIncrements":"CounterIncrements is an option for selections that specifies whether the value of a specified counter is incremented by one.", - "CounterStyleMenuListing":"CounterStyleMenuListing is an option for cells that specifies what counter styles are listed in the StyleBox[\"Counter\", \"DialogElementName\"] popup menu of the StyleBox[\"Create Automatic Numbering Object\", \"DialogElementName\"] dialog box.", - "CountRoots":"RowBox[{\"CountRoots\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the number of real roots of the univariate function StyleBox[\"f\", \"TI\"] in StyleBox[\"x\", \"TI\"].\nRowBox[{\"CountRoots\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the number of roots between StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. ", - "CountryData":"RowBox[{\"CountryData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the country, country-like entity, or group of countries specified by \"\nStyleBox[\"tag\", \"TI\"]\".\nRowBox[{\"CountryData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dates\", \"TI\"]}], \"}\"}]}], \"]\"}] gives time series for certain economic and other properties.", - "Counts":"RowBox[{\"Counts\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives an association whose keys are the distinct elements of StyleBox[\"list\", \"TI\"], and whose values give the number of times those elements appear in StyleBox[\"list\", \"TI\"].", - "CountsBy":"RowBox[{\"CountsBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an association whose keys are the distinct values of the RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], and whose values give the number of times these RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] values appear.\nRowBox[{\"CountsBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of CountsBy that can be applied to an expression.", - "Covariance":"RowBox[{\"Covariance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the covariance between the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Covariance\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the covariance matrix for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"Covariance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the covariance matrix for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Covariance\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the covariance matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Covariance\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] covariance for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"]. ", - "CovarianceEstimatorFunction":"CovarianceEstimatorFunction is an option for generalized linear model fitting functions that specifies the estimator for the parameter covariance matrix.", - "CovarianceFunction":"RowBox[{\"CovarianceFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the covariance function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"CovarianceFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the covariance function at lags StyleBox[\"hspec\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. \nRowBox[{\"CovarianceFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the covariance function at times StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] for the random process StyleBox[\"proc\", \"TI\"]. ", - "CoxianDistribution":"RowBox[{\"CoxianDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], RowBox[{StyleBox[\"m\", \"TI\"], StyleBox[\"-\", \"TI\"], StyleBox[\"1\", \"TR\"]}]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represent an StyleBox[\"m\", \"TI\"]-phase Coxian distribution with phase probabilities SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]] and rates SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"i\", \"TI\"]].", - "CoxIngersollRossProcess":"RowBox[{\"CoxIngersollRossProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a Cox–Ingersoll–Ross process with long‐term mean StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], speed of adjustment StyleBox[\"θ\", \"TR\"], and initial condition SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "CoxModel":"RowBox[{\"CoxModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic proportional hazards model obtained from CoxModelFit.", - "CoxModelFit":"RowBox[{\"CoxModelFit\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] constructs a model of the baseline hazard RowBox[{SubscriptBox[StyleBox[\"h\", \"TI\"], \"0\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}] for events times SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CoxModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[\"ξ\", \"11\"], \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ξ\", \"TR\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"p\", \"TI\"]}]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"ξ\", \"TR\"], RowBox[{\"n\", \" \", StyleBox[\"1\", \"TR\"]}]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ξ\", \"TR\"], StyleBox[\"np\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}]}], \"]\"}] constructs a Cox model of the form RowBox[{RowBox[{SubscriptBox[StyleBox[\"h\", \"TI\"], \"0\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}], \" \", RowBox[{\"exp\", \"(\", RowBox[{RowBox[{SubscriptBox[\"β\", \"1\"], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", \"…\", \"+\", RowBox[{SubscriptBox[\"β\", StyleBox[\"m\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"m\", \"TI\"]]}]}], \")\"}]}], where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].", - "CramerVonMisesTest":"RowBox[{\"CramerVonMisesTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Cramér–von Mises test.\nRowBox[{\"CramerVonMisesTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Cramér–von Mises test.\nRowBox[{\"CramerVonMisesTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "CreateArchive":"RowBox[{\"CreateArchive\", \"[\", StyleBox[\"source\", \"TI\"], \"]\"}] creates a compressed archive in the current directory from a file or directory specified by StyleBox[\"source\", \"TI\"].\nRowBox[{\"CreateArchive\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"path\", \"TI\"]}], \"]\"}] creates a compressed archive in the directory or file specified by StyleBox[\"path\", \"TI\"].", - "CreateCellID":"CreateCellID is an option for Notebook that specifies whether to assign a CellID to cells created in the notebook.", - "CreateChannel":"RowBox[{\"CreateChannel\", \"[\", \"]\"}] creates a new channel for channel communication, with a generated name.\nRowBox[{\"CreateChannel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"path\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a channel with the specified path relative to the home area of the currently authenticated user.\nRowBox[{\"CreateChannel\", \"[\", StyleBox[\"object\", \"TI\"], \"]\"}] creates an active channel associated with the specified channel object.", - "CreateCloudExpression":"RowBox[{\"CreateCloudExpression\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] creates a new anonymous cloud expression that stores the specified initial value.\nRowBox[{\"CreateCloudExpression\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] creates a new cloud expression with the specified name.", - "CreateDatabin":"RowBox[{\"CreateDatabin\", \"[\", \"]\"}] creates a databin in the Wolfram Data Drop and returns the corresponding Databin object.\nRowBox[{\"CreateDatabin\", \"[\", StyleBox[\"options\", \"TI\"], \"]\"}] creates a databin with the specified options.", - "CreateDataSystemModel":"RowBox[{\"CreateDataSystemModel\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a SystemModel generating a signal of values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"CreateDataSystemModel\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a model for the time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"CreateDataSystemModel\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] creates a model for the TimeSeries or InterpolatingFunction StyleBox[\"obj\", \"TI\"]. \nRowBox[{\"CreateDataSystemModel\", \"[\", RowBox[{StyleBox[\"fun\", \"TI\"], \",\", StyleBox[\"tmin\", \"TI\"], \",\", StyleBox[\"tmax\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] creates a model with samples from the function StyleBox[\"fun\", \"TI\"] between StyleBox[\"tmin\", \"TI\"] and StyleBox[\"tmax\", \"TI\"].", - "CreateDialog":"RowBox[{\"CreateDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a dialog notebook containing StyleBox[\"expr\", \"TI\"] and opens it in the front end.\nRowBox[{\"CreateDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", - "CreateDirectory":"RowBox[{\"CreateDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a directory with name StyleBox[\"dir\", \"TI\"]. \nRowBox[{\"CreateDirectory\", \"[\", \"]\"}] creates a directory in the default area for temporary directories on your computer system.", - "CreateDocument":"RowBox[{\"CreateDocument\", \"[\", \"]\"}] creates an empty document notebook and opens it in the front end.\nRowBox[{\"CreateDocument\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates and opens a document notebook containing the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"CreateDocument\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates and opens a document notebook consisting of a sequence of cells containing the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CreateDocument\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", - "CreateFile":"RowBox[{\"CreateFile\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a file with name StyleBox[\"file\", \"TI\"]. \nRowBox[{\"CreateFile\", \"[\", \"]\"}] creates a file in the default area for temporary files on your computer system.", - "CreateIntermediateDirectories":"CreateIntermediateDirectories is an option for CreateDirectory and related functions that specifies whether to create intermediate directories in a directory path specified.", - "CreateManagedLibraryExpression":"RowBox[{\"CreateManagedLibraryExpression\", \"[\", RowBox[{StyleBox[\"mname\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] creates a managed library expression by applying StyleBox[\"f\", \"TI\"] to a positive integer ID associated with a registered manager with name StyleBox[\"mname\", \"TI\"].", - "CreateNotebook":"RowBox[{\"CreateNotebook\", \"[\", \"]\"}] creates a generic empty notebook and opens it in the front end.\nRowBox[{\"CreateNotebook\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates an empty notebook of the specified type and opens it in the front end.\nRowBox[{\"CreateNotebook\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] by a version converted to be of the specified type.", - "CreatePalette":"RowBox[{\"CreatePalette\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a palette notebook containing StyleBox[\"expr\", \"TI\"], and opens it in the front end.\nRowBox[{\"CreatePalette\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates and opens a palette notebook consisting of a sequence of cells containing the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CreatePalette\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", - "CreatePermissionsGroup":"RowBox[{\"CreatePermissionsGroup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a permissions group with the specified name.\nRowBox[{\"CreatePermissionsGroup\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a permissions group consisting of the specified initial users.", - "CreateScheduledTask":"RowBox[{\"CreateScheduledTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a local scheduled task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] once per second.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] creates a task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] every StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"time\", \"TI\"], \"}\"}]}], \"]\"}] creates a task that will evaluate StyleBox[\"expr\", \"TI\"] once after StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"count\", \"TI\"]}], \"}\"}]}], \"]\"}] creates a task that will try evaluating StyleBox[\"expr\", \"TI\"] once every StyleBox[\"time\", \"TI\"] seconds up to StyleBox[\"count\", \"TI\"] times total.\nRowBox[{\"CreateScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"start\", \"TI\"]}], \"]\"}] creates a task that will evaluate StyleBox[\"expr\", \"TI\"] according to StyleBox[\"timespec\", \"TI\"] starting at StyleBox[\"start\", \"TI\"] time.", - "CreateSearchIndex":"RowBox[{\"CreateSearchIndex\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] creates a search index from all files in the directory StyleBox[\"dir\", \"TI\"] and its subdirectories.\nRowBox[{\"CreateSearchIndex\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"source\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"source\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a search index from all sources SubscriptBox[StyleBox[\"source\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CreateSearchIndex\", \"[\", RowBox[{StyleBox[\"sources\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the search index the specified name.", - "CreateSystemModel":"RowBox[{\"CreateSystemModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] creates a Modelica SystemModel from the systems model StyleBox[\"sys\", \"TI\"]. \nRowBox[{\"CreateSystemModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] creates a model for the system equations StyleBox[\"eqns\", \"TI\"] with independent variable StyleBox[\"t\", \"TI\"].\nRowBox[{\"CreateSystemModel\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] creates a model with type specification StyleBox[\"tspec\", \"TI\"] for variables and parameters.\nRowBox[{\"CreateSystemModel\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] creates a model with StyleBox[\"spec\", \"TI\"] for parameter values, initial values and model relations.", - "CreateTemporary":"RowBox[{\"CreateTemporary\", \"[\", \"]\"}] creates a temporary file with a unique name in the default temporary directory and returns the name of the file.", - "CreateUUID":"RowBox[{\"CreateUUID\", \"[\", \"]\"}] creates a random, universally unique UUID string.\nRowBox[{\"CreateUUID\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"base\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] appends a UUID string to the specified base string.", - "CreateWindow":"RowBox[{\"CreateWindow\", \"[\", \"]\"}] creates an empty window in the front end.\nRowBox[{\"CreateWindow\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a window displaying the notebook expression StyleBox[\"expr\", \"TI\"], and opens it in the front end.\nRowBox[{\"CreateWindow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with the one obtained from StyleBox[\"expr\", \"TI\"].", - "CriterionFunction":"CriterionFunction is an option in functions such as ClusterClassify that specifies the criterion to use to select a method.", - "CriticalityFailureImportance":"RowBox[{\"CriticalityFailureImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality failure importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"CriticalityFailureImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality failure importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", - "CriticalitySuccessImportance":"RowBox[{\"CriticalitySuccessImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality success importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"CriticalitySuccessImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the criticality success importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", - "CriticalSection":"RowBox[{\"CriticalSection\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] locks the variables SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]] with respect to parallel computation, evaluates StyleBox[\"expr\", \"TI\"], then releases the SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Cross":"RowBox[{\"Cross\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the vector cross product of StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. ", - "CrossEntropyLossLayer":"RowBox[{\"CrossEntropyLossLayer\", \"[\", StyleBox[\"\\\"Index\\\"\",ShowStringCharacters->True], \"]\"}] represents a net layer that computes the cross-entropy loss by comparing input class probability vectors with indices representing the target class.\nRowBox[{\"CrossEntropyLossLayer\", \"[\", StyleBox[\"\\\"Probabilities\\\"\",ShowStringCharacters->True], \"]\"}] represents a net layer that computes the cross-entropy loss by comparing input class probability vectors with target class probability vectors.\nRowBox[{\"CrossEntropyLossLayer\", \"[\", StyleBox[\"\\\"Binary\\\"\",ShowStringCharacters->True], \"]\"}] represents a net layer that computes the binary cross-entropy loss by comparing input probability scalars with target probability scalars, where each probability represents a binary choice.", - "CrossingDetect":"RowBox[{\"CrossingDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to the zero crossings in StyleBox[\"image\", \"TI\"].\nRowBox[{\"CrossingDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"delta\", \"TI\"]}], \"]\"}] treats values in StyleBox[\"image\", \"TI\"] that are smaller in absolute value than StyleBox[\"delta\", \"TI\"] as zero.\nRowBox[{\"CrossingDetect\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a binary sparse array in which 1 corresponds to zero crossings in StyleBox[\"array\", \"TI\"]. ", - "CrossMatrix":"RowBox[{\"CrossMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix whose elements are 1 in a centered cross-shaped region that extends StyleBox[\"r\", \"TI\"] positions along each index direction, and are 0 otherwise.\nRowBox[{\"CrossMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a StyleBox[\"w\", \"TI\"]StyleBox[\"w\", \"TI\"] matrix containing a cross-shaped region of 1s.\nRowBox[{\"CrossMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields an array whose elements are 1 in a centered cross-shaped region that extends SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] positions in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", - "Csc":"RowBox[{\"Csc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the cosecant of StyleBox[\"z\", \"TI\"]. ", - "Csch":"RowBox[{\"Csch\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic cosecant of StyleBox[\"z\", \"TI\"]. ", - "CTCLossLayer":"RowBox[{\"CTCLossLayer\", \"[\", \"]\"}] represents a net layer that computes the connectionist temporal classification loss by comparing a sequence of class probability vectors with a sequence of indices representing the target classes.", - "CubeRoot":"RowBox[{\"CubeRoot\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the real-valued cube root of StyleBox[\"x\", \"TI\"].", - "Cubics":"Cubics is an option for functions that involve solving algebraic equations, that specifies whether explicit forms for solutions to cubic equations should be given.", - "Cuboid":"RowBox[{\"Cuboid\", \"[\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"]\"}] represents a unit hypercube with its lower corner at SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]].\nRowBox[{\"Cuboid\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}] represents an axis-aligned filled cuboid with lower corner SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"min\", \"TI\"]] and upper corner SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "Cumulant":"RowBox[{\"Cumulant\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] cumulant of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Cumulant\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] cumulant of the elements in the StyleBox[\"list\", \"TI\"].\nRowBox[{\"Cumulant\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] formal cumulant. ", - "CumulantGeneratingFunction":"RowBox[{\"CumulantGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the cumulant-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"CumulantGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the cumulant-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], … . ", - "Cup":"RowBox[{\"Cup\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⌣\", StyleBox[\"y\", \"TI\"], \"⌣\", \"…\"}].", - "CupCap":"RowBox[{\"CupCap\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≍\", StyleBox[\"y\", \"TI\"], \"≍\", StyleBox[\"…\", \"TR\"]}].", - "Curl":"RowBox[{\"Curl\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the curl RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}]}]}].\nRowBox[{\"Curl\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the curl RowBox[{\"(\", RowBox[{RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"3\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"3\"]}]}]}], \",\", RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"3\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"3\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}]}], \",\", RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \"-\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}]}]}]}], \")\"}].\nRowBox[{\"Curl\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"TI\"]}], \"]\"}] gives the curl of the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"]×…×StyleBox[\"n\", \"TI\"] array StyleBox[\"f\", \"TI\"] with respect to the StyleBox[\"n\", \"TI\"]StyleBox[\"-dimensional\", Deletable -> True] vector RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].\nRowBox[{\"Curl\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the curl in the coordinates StyleBox[\"chart\", \"TI\"].", - "CurrencyConvert":"RowBox[{\"CurrencyConvert\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] attempts to convert the specified currency StyleBox[\"quantity\", \"TI\"] to the specified StyleBox[\"target\", \"TI\"] currency.", - "CurrentDate":"RowBox[{\"CurrentDate\", \"[\", StyleBox[\"gran\", \"TI\"], \"]\"}] gives the current date of the specified granularity type StyleBox[\"gran\", \"TI\"].\nRowBox[{\"CurrentDate\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the date of the given granularity that includes the specified date.\nRowBox[{\"CurrentDate\", \"[\", \"]\"}] gives the instant corresponding to the current date.", - "CurrentImage":"RowBox[{\"CurrentImage\", \"[\", \"]\"}] returns the current image captured from a connected camera.\nRowBox[{\"CurrentImage\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns StyleBox[\"n\", \"TI\"] sequential image frames as a list.", - "CurrentNotebookImage":"RowBox[{\"CurrentNotebookImage\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] returns an image captured from the portion of the notebook StyleBox[\"nb\", \"TI\"] that appears on your screen.\nRowBox[{\"CurrentNotebookImage\", \"[\", \"]\"}] returns an image captured from the notebook in which the function is evaluated.", - "CurrentScreenImage":"RowBox[{\"CurrentScreenImage\", \"[\", \"]\"}] returns an image captured from all current display screens on your computer. \nRowBox[{\"CurrentScreenImage\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an image captured from display screen StyleBox[\"n\", \"TI\"].\nRowBox[{\"CurrentScreenImage\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}], \"]\"}] returns the specified rectangle from the image of all current display screens.", - "CurrentValue":"RowBox[{\"CurrentValue\", \"[\", StyleBox[\"item\", \"TI\"], \"]\"}] gives the current value of StyleBox[\"item\", \"TI\"] at a location in the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> {\"Mathematica\", \" system\"}] and interface. \nRowBox[{\"CurrentValue\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"item\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] gives the current value for the feature of StyleBox[\"item\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"CurrentValue\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"item\", \"TI\"]}], \"]\"}] gives the current value of StyleBox[\"item\", \"TI\"] associated with the object StyleBox[\"obj\", \"TI\"]. ", - "Curry":"RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents an operator form of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"n\", \"TI\"] arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], RowBox[{StyleBox[\"…\", \"TR\"], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"]\"}]}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}].\nRowBox[{\"Curry\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of the function StyleBox[\"f\", \"TI\"] of two arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", StyleBox[\"y\", \"TI\"], \"]\"}], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}].\nRowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an operator form of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"n\", \"TI\"] arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], RowBox[{StyleBox[\"…\", \"TR\"], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"]\"}]}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]]}], \"]\"}].\nRowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}]}], \"]\"}] represents a StyleBox[\"k\", \"TI\"]-arguments operator form of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"n\", \"TI\"] arguments so that RowBox[{RowBox[{RowBox[{\"Curry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}]}], \"]\"}], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], RowBox[{StyleBox[\"…\", \"TR\"], \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]], \"]\"}]}] is equivalent to RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]]}], \"]\"}], with RowBox[{StyleBox[\"k\", \"TI\"], \"≥\", RowBox[{\"Max\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}]}].", - "CurvatureFlowFilter":"RowBox[{\"CurvatureFlowFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] applies a mean curvature flow filter to StyleBox[\"image\", \"TI\"].\nRowBox[{\"CurvatureFlowFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] specifies the amount of curvature flow time StyleBox[\"t\", \"TI\"] to be applied.\nRowBox[{\"CurvatureFlowFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] applies the curvature flow with a modified conductance term parametrized by StyleBox[\"k\", \"TI\"].", - "CurveClosed":"CurveClosed is an option for JoinedCurve that specifies whether individual curve components should be closed curves.", - "Cyan":"Cyan represents the color cyan in graphics or style specifications. ", - "CycleGraph":"RowBox[{\"CycleGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the cycle graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"C\", \"n\"].", - "CycleIndexPolynomial":"RowBox[{\"CycleIndexPolynomial\", \"[\", RowBox[{StyleBox[\"perm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] constructs the cycle index monomial of the permutation StyleBox[\"perm\", \"TI\"] in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"CycleIndexPolynomial\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] constructs the cycle index polynomial of StyleBox[\"group\", \"TI\"] in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Cycles":"RowBox[{\"Cycles\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cyc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cyc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \"]\"}] represents a permutation with disjoint cycles SubscriptBox[StyleBox[\"cyc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "CyclicGroup":"RowBox[{\"CyclicGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the cyclic group of degree StyleBox[\"n\", \"TI\"].", - "Cyclotomic":"RowBox[{\"Cyclotomic\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] cyclotomic polynomial in StyleBox[\"x\", \"TI\"]. ", - "Cylinder":"RowBox[{\"Cylinder\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a cylinder of radius StyleBox[\"r\", \"TI\"] around the line from RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \")\"}] to RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \")\"}]. \nRowBox[{\"Cylinder\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \"]\"}] represents a cylinder of radius 1. ", - "CylindricalDecomposition":"RowBox[{\"CylindricalDecomposition\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds a decomposition of the region represented by the inequalities StyleBox[\"ineqs\", \"TI\"] into cylindrical parts whose directions correspond to the successive SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"CylindricalDecomposition\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"op\", \"TI\"]}], \"]\"}] finds a decomposition of the result of applying the topological operation StyleBox[\"op\", \"TI\"] to the region represented by the inequalities StyleBox[\"ineqs\", \"TI\"].", - "D":"RowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the partial derivative RowBox[{\"∂\", \"f\", \"\/\", \"∂\", \"x\"}]. \nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple derivative RowBox[{SuperscriptBox[\"∂\", \"n\"], \"f\", \"\/\", \"∂\", SuperscriptBox[\"x\", \"n\"]}].\nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the partial derivative RowBox[{\"⋯\", \" \", RowBox[{\"(\", RowBox[{\"∂\", RowBox[{\"\/\", RowBox[{\"∂\", \"y\"}]}]}], \")\"}], RowBox[{\"(\", RowBox[{\"∂\", RowBox[{\"\/\", RowBox[{\"∂\", \"x\"}]}]}], \")\"}], \" \", \"f\"}].\nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the multiple partial derivative RowBox[{\"⋯\", \" \", RowBox[{\"(\", RowBox[{SuperscriptBox[\"∂\", \"m\"], RowBox[{\"\/\", RowBox[{\"∂\", SuperscriptBox[\"y\", \"m\"]}]}]}], \")\"}], RowBox[{\"(\", RowBox[{SuperscriptBox[\"∂\", \"n\"], RowBox[{\"\/\", RowBox[{\"∂\", SuperscriptBox[\"x\", \"n\"]}]}]}], \")\"}], \" \", \"f\"}].\nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] for a scalar StyleBox[\"f\", \"TI\"] gives the vector derivative RowBox[{\"(\", RowBox[{RowBox[{\"∂\", RowBox[{\"f\", \"\/\", RowBox[{\"∂\", SubscriptBox[\"x\", \"1\"]}]}]}], \",\", RowBox[{\"∂\", RowBox[{\"f\", \"\/\", RowBox[{\"∂\", SubscriptBox[\"x\", \"2\"]}]}]}], \",\", \"…\"}], \")\"}]. \nRowBox[{\"D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"array\", \"TI\"], \"}\"}]}], \"]\"}] gives an array derivative.", - "DagumDistribution":"RowBox[{\"DagumDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents a Dagum distribution with shape parameters StyleBox[\"p\", \"TI\"] and StyleBox[\"a\", \"TI\"] and scale parameter StyleBox[\"b\", \"TI\"].", - "DamData":"RowBox[{\"DamData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the dam StyleBox[\"entity\", \"TI\"].\nRowBox[{\"DamData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified dam entities.\nRowBox[{\"DamData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "DamerauLevenshteinDistance":"RowBox[{\"DamerauLevenshteinDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Damerau–Levenshtein distance between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "DampingFactor":"DampingFactor is an option for FindRoot, which can be used to control convergence behavior. RowBox[{\"DampingFactor\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] uses a damping factor of StyleBox[\"n\", \"TI\"] in Newton's method.", - "Darker":"RowBox[{\"Darker\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a darker version of the specified color. \nRowBox[{\"Darker\", \"[\", RowBox[{StyleBox[\"color\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a version of the specified color darkened by a fraction StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Darker\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a darker version of an image.", - "Dashed":"Dashed is a graphics directive specifying that lines that follow should be drawn dashed.", - "Dashing":"RowBox[{\"Dashing\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a two-dimensional graphics directive specifying that lines that follow are to be drawn dashed, with successive segments of lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], … (repeated cyclically). The SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] are given as a fraction of the total width of the graph. \nRowBox[{\"Dashing\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] is equivalent to RowBox[{\"Dashing\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}], \"]\"}]. ", - "Databin":"RowBox[{\"Databin\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a databin in the Wolfram Data Drop.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the first StyleBox[\"n\", \"TI\"] entries in a databin.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] represents the most recent StyleBox[\"n\", \"TI\"] entries in a databin.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] represents entries StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in a databin, with negative numbers counting from the end.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}]}], \"]\"}] represents entries StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] with step StyleBox[\"s\", \"TI\"].\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] represents entries going back for the quantity of time specified by StyleBox[\"time\", \"TI\"].\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] represents the entries in a databin from the specified date to now.\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the entries in a databin from SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Databin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"id\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents only elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] within each entry in a databin.", - "DatabinAdd":"RowBox[{\"DatabinAdd\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] adds the specified data to a databin.", - "DatabinRemove":"RowBox[{\"DatabinRemove\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] removes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"]entry from a databin.\nRowBox[{\"DatabinRemove\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", StyleBox[\"uuid\", \"TI\"]}], \"]\"}] removes the entry with the specified UUID from a databin.\nRowBox[{\"DatabinRemove\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}]}], \"]\"}] removes the span of entries with indices from StyleBox[\"i\", \"TI\"] through StyleBox[\"j\", \"TI\"].", - "Databins":"RowBox[{\"Databins\", \"[\", \"]\"}] gives a list of databins associated with the currently connected user.", - "DatabinUpload":"RowBox[{\"DatabinUpload\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entry\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entry\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] bulk uploads all the entries SubscriptBox[StyleBox[\"entry\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a databin.\nRowBox[{\"DatabinUpload\", \"[\", RowBox[{StyleBox[\"bin\", \"TI\"], \",\", RowBox[{\"EventSeries\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}]}], \"]\"}] bulk uploads all entries in an event series to a databin.", - "DataDistribution":"RowBox[{\"DataDistribution\", \"[\", RowBox[{StyleBox[\"ddist\", \"TI\"], \",\", StyleBox[\"…\", \"TI\"]}], \"]\"}] represents a probability distribution of type StyleBox[\"ddist\", \"TI\"], estimated from a set of data.", - "DataRange":"DataRange is an option for functions such as ListPlot and ListDensityPlot that specifies what range of actual coordinates the data should be assumed to occupy. ", - "DataReversed":"DataReversed is an option for ArrayPlot and related functions that specifies whether data should be plotted in reverse order.", - "Dataset":"RowBox[{\"Dataset\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a structured dataset based on a hierarchy of lists and associations.", - "Date":"RowBox[{\"Date\", \"[\", \"]\"}] gives the current local date and time in the form RowBox[{\"{\", RowBox[{StyleBox[\"year\", \"TI\"], \",\", StyleBox[\"month\", \"TI\"], \",\", StyleBox[\"day\", \"TI\"], \",\", StyleBox[\"hour\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}]. ", - "DateBounds":"RowBox[{\"DateBounds\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the earliest and latest of the SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateBounds\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] gives the first and last dates in the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateBounds\", \"[\", StyleBox[\"bin\", \"TI\"], \"]\"}] gives the first and last time stamps in the databin StyleBox[\"bin\", \"TI\"].", - "Dated":"RowBox[{\"Dated\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"year\", \"TI\"]}], \"]\"}] represents the object StyleBox[\"obj\", \"TI\"] associated with a particular year.\nRowBox[{\"Dated\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] represents the object StyleBox[\"obj\", \"TI\"] associated with a date.\nRowBox[{\"Dated\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", \"All\"}], \"]\"}] represents the object StyleBox[\"obj\", \"TI\"] for all dates where information is available about it.", - "DateDifference":"RowBox[{\"DateDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the number of days from SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"DateDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"unit\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the difference between SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]] in the specified unit.\nRowBox[{\"DateDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"unit\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"unit\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the difference as a list with elements corresponding to the successive \"SubscriptBox[\nStyleBox[\"unit\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".", - "DatedUnit":"RowBox[{\"DatedUnit\", \"[\", RowBox[{StyleBox[\"unit\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] represents the specified StyleBox[\"unit\", \"TI\"] at a specific StyleBox[\"date\", \"TI\"].", - "DateFormat":"DateFormat is an option that determines the date formatting that is used for DateObject display and for interpretation in Interpreter.", - "DateFunction":"DateFunction is an option for DateListPlot that specifies how dates given as input should be converted to date lists.", - "DateHistogram":"RowBox[{\"DateHistogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a histogram of the dates SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a histogram with bin width specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"DateHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"DateHistogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DateList":"RowBox[{\"DateList\", \"[\", \"]\"}] gives the current local date and time in the form RowBox[{\"{\", RowBox[{StyleBox[\"year\", \"TI\"], \",\", StyleBox[\"month\", \"TI\"], \",\", StyleBox[\"day\", \"TI\"], \",\", StyleBox[\"hour\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}]. \nRowBox[{\"DateList\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a date list corresponding to an AbsoluteTime specification.\nRowBox[{\"DateList\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives a date list corresponding to a DateObject specification.\nRowBox[{\"DateList\", \"[\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] converts a date list to standard normalized form. \nRowBox[{\"DateList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a date string to a date list. \nRowBox[{\"DateList\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] gives the date list obtained by extracting elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" from \"\nStyleBox[\"string\", \"TI\"]\".", - "DateListLogPlot":"RowBox[{\"DateListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log plot with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at a sequence of dates.\nRowBox[{\"DateListLogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] makes a log plot with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DateListLogPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}]}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", - "DateListPlot":"RowBox[{\"DateListPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points with values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] at a sequence of dates.\nRowBox[{\"DateListPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] plots points with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DateListPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{RowBox[{\"DateListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}]}]}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", - "DateListStepPlot":"RowBox[{\"DateListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] in steps at a sequence of dates.\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] plots the values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] in steps with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DateListStepPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"step\", \"TI\"]}], \"]\"}] plots using steps specified by StyleBox[\"step\", \"TI\"].\nRowBox[{\"DateListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", - "DateObject":"RowBox[{\"DateObject\", \"[\", \"]\"}] gives the current local date.\nRowBox[{\"DateObject\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives a date object of standard normalized form.\nRowBox[{\"DateObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a date string to a date object.\nRowBox[{\"DateObject\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] gives the date object obtained by extracting elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" from \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"DateObject\", \"[\", RowBox[{StyleBox[\"rdate\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the date object of calendar granularity StyleBox[\"gran\", \"TI\"] that includes the reference date StyleBox[\"rdate\", \"TI\"].", - "DateObjectQ":"RowBox[{\"DateObjectQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a DateObject with valid arguments, and False otherwise.", - "DateOverlapsQ":"RowBox[{\"DateOverlapsQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the calendar dates SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]] overlap, and False otherwise.", - "DatePattern":"RowBox[{\"DatePattern\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the characters of a date with elements of type \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" in StringExpression.\nRowBox[{\"DatePattern\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"e\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"sep\", \"TI\"]}], \"]\"}] allows separators that match the string expression StyleBox[\"sep\", \"TI\"].", - "DatePlus":"RowBox[{\"DatePlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] days after StyleBox[\"date\", \"TI\"].\nRowBox[{\"DatePlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"step\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] calendar steps after StyleBox[\"date\", \"TI\"].\nRowBox[{\"DatePlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"step\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a date offset by SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] steps of each specified size. \nRowBox[{\"DatePlus\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] days after the current date.\nRowBox[{\"DatePlus\", \"[\", StyleBox[\"offset\", \"TI\"], \"]\"}] gives the date with the specified offset from the current date.", - "DateRange":"RowBox[{\"DateRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives all dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].\nRowBox[{\"DateRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"increment\", \"TI\"]}], \"]\"}] gives the dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"] that are StyleBox[\"increment\", \"TI\"] apart.", - "DateReduction":"DateReduction is an option for DateHistogram that specifies the length for cyclic periods of time.", - "DateString":"RowBox[{\"DateString\", \"[\", \"]\"}] gives a string representing the complete current local date and time. \nRowBox[{\"DateString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the specified element or format for date and time.\nRowBox[{\"DateString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] concatenates the specified elements in the order given.\nRowBox[{\"DateString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives a string corresponding to a DateList specification.\nRowBox[{\"DateString\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a string corresponding to an AbsoluteTime specification.\nRowBox[{\"DateString\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives a string corresponding to a DateObject specification.\nRowBox[{\"DateString\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives elements StyleBox[\"elems\", \"TI\"] of the date or time specification StyleBox[\"spec\", \"TI\"].", - "DateTicksFormat":"DateTicksFormat is an option for DateListPlot which specifies how date tick labels should be formatted.", - "DateValue":"RowBox[{\"DateValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the specified element of the current date and time.\nRowBox[{\"DateValue\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of the specified elements of the current date and time.\nRowBox[{\"DateValue\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives the specified element of the specified date.\nRowBox[{\"DateValue\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the result in the specified form.", - "DateWithinQ":"RowBox[{\"DateWithinQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the calendar date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]] is entirely contained within SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], and False otherwise.", - "DaubechiesWavelet":"RowBox[{\"DaubechiesWavelet\", \"[\", \"]\"}] represents a Daubechies wavelet of order 2. \nRowBox[{\"DaubechiesWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Daubechies wavelet of order StyleBox[\"n\", \"TI\"].", - "DavisDistribution":"DavisDistributionRowBox[{\"[\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Davis distribution with scale parameter StyleBox[\"b\", \"TI\"], shape parameter StyleBox[\"n\", \"TI\"], and location parameter StyleBox[\"μ\", \"TR\"].", - "DawsonF":"RowBox[{\"DawsonF\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Dawson integral RowBox[{StyleBox[\"F\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "DayCount":"RowBox[{\"DayCount\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the number of days from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].\nRowBox[{\"DayCount\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] gives the number of days of the specified StyleBox[\"daytype\", \"TI\"] from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].", - "DayCountConvention":"DayCountConvention is an option that specifies the day count convention used by DateDifference.", - "DayHemisphere":"RowBox[{\"DayHemisphere\", \"[\", \"]\"}] is a two-dimensional GeoGraphics primitive that represents the half of the Earth that is currently in daylight. \nRowBox[{\"DayHemisphere\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] represents the daylight half of the Earth for the specified date.", - "DaylightQ":"RowBox[{\"DaylightQ\", \"[\", \"]\"}] gives True if it is currently daylight from the user's location.\nRowBox[{\"DaylightQ\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives True if it is daylight from the user's location on the specified StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DaylightQ\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives True if it is currently daylight from the specified StyleBox[\"locationspec\", \"TI\"].\nRowBox[{\"DaylightQ\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives True if it is daylight from the specified StyleBox[\"locationspec\", \"TI\"] on the specified StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"DaylightQ\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives True if it is daylight from the specified locations and dates.\nRowBox[{\"DaylightQ\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"inclusionspec\", \"TI\"]}], \"]\"}] gives True if it is daylight from the specified StyleBox[\"locationspec\", \"TI\"] on the specified StyleBox[\"datespec\", \"TI\"] taking StyleBox[\"inclusionspec\", \"TI\"] into account.", - "DayMatchQ":"RowBox[{\"DayMatchQ\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] returns True if the date matches the StyleBox[\"daytype\", \"TI\"] specification and returns False otherwise.", - "DayName":"RowBox[{\"DayName\", \"[\", \"]\"}] gives the current day of the week.\nRowBox[{\"DayName\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the day of the week for the given date.", - "DayNightTerminator":"RowBox[{\"DayNightTerminator\", \"[\", \"]\"}] is a one-dimensional GeoGraphics primitive that represents the separation line between the halves of the Earth currently in daytime and nighttime.\nRowBox[{\"DayNightTerminator\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] represents the separation line between day and night for the specified date.", - "DayPlus":"RowBox[{\"DayPlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the date StyleBox[\"n\", \"TI\"] days away from StyleBox[\"date\", \"TI\"].\nRowBox[{\"DayPlus\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] gives the date that is StyleBox[\"n\", \"TI\"] days of StyleBox[\"daytype\", \"TI\"] away from StyleBox[\"date\", \"TI\"].", - "DayRange":"RowBox[{\"DayRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"].\nRowBox[{\"DayRange\", \"[\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] gives the dates in the range from StyleBox[SubscriptBox[\"date\", StyleBox[\"1\", \"TR\"]], \"TI\"] to StyleBox[SubscriptBox[\"date\", StyleBox[\"2\", \"TR\"]], \"TI\"] that are of the specified StyleBox[\"daytype\", \"TI\"].", - "DayRound":"RowBox[{\"DayRound\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"]}], \"]\"}] rounds StyleBox[\"date\", \"TI\"] to the nearest day of StyleBox[\"daytype\", \"TI\"],StyleBox[\" \", \"TI\"]using the next-day rounding convention.\nRowBox[{\"DayRound\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"daytype\", \"TI\"], \",\", StyleBox[\"rounding\", \"TI\"]}], \"]\"}] rounds StyleBox[\"date\", \"TI\"] to the nearest day of StyleBox[\"daytype\", \"TI\"], using StyleBox[\"rounding\", \"TI\"].", - "DeBruijnGraph":"RowBox[{\"DeBruijnGraph\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]-dimensional De Bruijn graph with StyleBox[\"m\", \"TI\"] symbols.\nRowBox[{\"DeBruijnGraph\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] gives the De Bruijn graph with connectivity given by StyleBox[\"type\", \"TI\"].", - "DeBruijnSequence":"RowBox[{\"DeBruijnSequence\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a de Bruijn sequence on the elements in StyleBox[\"list\", \"TI\"] taken StyleBox[RowBox[{\"n\", \" \"}], \"TI\"]at a time.\nRowBox[{\"DeBruijnSequence\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a de Bruijn sequence on the elements RowBox[{\"0\", \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"-\", \"1\"}]}].\nRowBox[{\"DeBruijnSequence\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a de Bruijn sequence on the characters in \"StyleBox[\"string\", \"TI\"]\".", - "Decapitalize":"RowBox[{\"Decapitalize\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which the first character has been made lowercase.", - "Decimal":"Decimal is a setting for the ColumnAlignments option of GridBox which states that numbers should align along the decimal place.", - "DecimalForm":"RowBox[{\"DecimalForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with approximate real numbers in StyleBox[\"expr\", \"TI\"] always given in decimal form, without scientific notation.\nRowBox[{\"DecimalForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with approximate real numbers given in decimal form to StyleBox[\"n\", \"TI\"]-digit precision.\nRowBox[{\"DecimalForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}]}], \"]\"}] prints with approximate real numbers having StyleBox[\"n\", \"TI\"] digits, with StyleBox[\"f\", \"TI\"] digits to the right of the decimal point.", - "DeclarePackage":"RowBox[{\"DeclarePackage\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] declares that RowBox[{\"Needs\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] should automatically be executed if a symbol with any of the specified names is ever used. ", - "Decompose":"RowBox[{\"Decompose\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] decomposes a polynomial, if possible, into a composition of simpler polynomials. ", - "DeconvolutionLayer":"RowBox[{\"DeconvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"sz\", \"TI\"]}], \"]\"}] represents a trainable 2D deconvolutional net layer that has StyleBox[\"n\", \"TI\"] output channels and uses kernels of size RowBox[{\"{\", RowBox[{StyleBox[\"sz\", \"TI\"], \",\", StyleBox[\"sz\", \"TI\"]}], \"}\"}] to compute the deconvolution.\nRowBox[{\"DeconvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", \"w\"}], \"}\"}]}], \"]\"}] uses kernels of size RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}].\nRowBox[{\"DeconvolutionLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", \"w\"}], \"}\"}], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial kernels and other parameters. ", - "Decrement":"RowBox[{StyleBox[\"x\", \"TI\"], \"--\"}] decreases the value of StyleBox[\"x\", \"TI\"] by 1, returning the old value of StyleBox[\"x\", \"TI\"]. ", - "Decrypt":"RowBox[{\"Decrypt\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"enc\", \"TI\"]}], \"]\"}] attempts to decrypt the encrypted object StyleBox[\"enc\", \"TI\"] using the specified password.\nRowBox[{\"Decrypt\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"enc\", \"TI\"]}], \"]\"}] attempts to decrypt using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].\nRowBox[{\"Decrypt\", \"[\", RowBox[{StyleBox[\"key\", \"TI\"], \",\", StyleBox[\"bytes\", \"TI\"]}], \"]\"}] attempts to decrypt the ByteArray object bytes, to give another ByteArray object.", - "DecryptFile":"RowBox[{\"DecryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"file\", \"TI\"]}], \"]\"}] generates a decrypted version of a file, using the specified password.\nRowBox[{\"DecryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] generates a decrypted version of StyleBox[\"source\", \"TI\"], putting the result in StyleBox[\"target\", \"TI\"].\nRowBox[{\"DecryptFile\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] decrypts using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].", - "DedekindEta":"RowBox[{\"DedekindEta\", \"[\", StyleBox[\"τ\", \"TR\"], \"]\"}] gives the Dedekind eta modular elliptic function RowBox[{\"η\", \"(\", \"τ\", \")\"}].", - "DeepSpaceProbeData":"RowBox[{\"DeepSpaceProbeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the deep space probe StyleBox[\"entity\", \"TI\"].\nRowBox[{\"DeepSpaceProbeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified deep space probe entities.\nRowBox[{\"DeepSpaceProbeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Default":"RowBox[{\"Default\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives the default value for arguments of the function StyleBox[\"f\", \"TI\"] obtained with a _. pattern object. \nRowBox[{\"Default\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the default value to use when _. appears as the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] argument of StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Default\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the default value for the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] argument out of a total of StyleBox[\"n\", \"TI\"] arguments. \nRowBox[{RowBox[{\"Default\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"=\", StyleBox[\"val\", \"TI\"]}] defines default values for arguments of StyleBox[\"f\", \"TI\"].", - "DefaultAxesStyle":"DefaultAxesStyle is a low-level option for graphics functions that specifies the default style to use in displaying axes and axes-like constructs.", - "DefaultBaseStyle":"DefaultBaseStyle is a low-level option for formatting and related constructs that specifies a default base style to use before BaseStyle.", - "DefaultBoxStyle":"DefaultBoxStyle is a low-level option for three-dimensional graphics functions that specifies the default style to use in rendering the bounding box.", - "DefaultButton":"RowBox[{\"DefaultButton\", \"[\", \"]\"}] represents an StyleBox[\"OK\", \"DialogElementName\"] button that closes a dialog, and is the default when StyleBox[\"Enter\", \"KeyEvent\"] is pressed in the dialog.\nRowBox[{\"DefaultButton\", \"[\", StyleBox[\"action\", \"TI\"], \"]\"}] represents a button that is labeled StyleBox[\"OK\", \"DialogElementName\"], and whose action is to evaluate StyleBox[\"action\", \"TI\"].\nRowBox[{\"DefaultButton\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] uses StyleBox[\"label\", \"TI\"] as the label for the button.", - "DefaultColor":"DefaultColor is an option for graphics functions that specifies the default color to use for lines, points, etc. ", - "DefaultDuplicateCellStyle":"DefaultDuplicateCellStyle is a notebook option that specifies the default style to use for cells created by automatic duplication of other cells in the notebook. ", - "DefaultDuration":"DefaultDuration is an option to Animate and related functions that specifies the default total duration of the animation in seconds.", - "DefaultElement":"DefaultElement is an option for Grid and related constructs which specifies what to insert when a new element is interactively created.", - "DefaultFaceGridsStyle":"DefaultFaceGridsStyle is a low-level option for 3D graphics functions that specifies the default style to use in rendering face grids.", - "DefaultFieldHintStyle":"DefaultFieldHintStyle is a low-level option for InputField that specifies the default style to use for displaying the field hint.", - "DefaultFontProperties":"DefaultFontProperties is a global option that specifies various properties of a font family, such as its character encoding and whether it is monospaced.", - "DefaultFormatType":"DefaultFormatType is an option for cells that specifies the format used for displaying expressions in a newly created cell.", - "DefaultFrameStyle":"DefaultFrameStyle is a low-level option for graphics and related constructs that specifies the default style to use in displaying their frames.", - "DefaultFrameTicksStyle":"DefaultFrameTicksStyle is a low-level option for 2D graphics functions that specifies the default style to use in rendering frame ticks.", - "DefaultGridLinesStyle":"DefaultGridLinesStyle is a low-level option for 2D graphics functions that specifies the default style to use in rendering grid lines.", - "DefaultInlineFormatType":"DefaultInlineFormatType is an option for cells that specifies the format used for displaying expressions in a newly created inline cell.", - "DefaultLabelStyle":"DefaultLabelStyle is a low-level option for formatting and related constructs that specifies the default style to use in displaying their label-like elements.", - "DefaultMenuStyle":"DefaultMenuStyle is a low-level option for menu-generating constructs that specifies the default style to use for displaying menu items.", - "DefaultNaturalLanguage":"DefaultNaturalLanguage is an option for character selections that specifies the language used when checking the spelling of a word in a human natural language selection.", - "DefaultNewCellStyle":"DefaultNewCellStyle is a notebook option which specifies the default style to use for new cells created in the notebook. ", - "DefaultNewInlineCellStyle":"DefaultNewInlineCellStyle is an option for cells that specifies the default style to use for new inline cells created in the notebook.", - "DefaultNotebook":"DefaultNotebook is a global option that specifies which notebook is used as a template for all new notebooks.", - "DefaultOptions":"DefaultOptions is a style option that allows default options to be specified for particular formatting and related constructs. ", - "DefaultPrintPrecision":"DefaultPrintPrecision is an option for NumberForm, DecimalForm and related functions that specifies the default number of digits of precision with which to print machine numbers.", - "DefaultStyleDefinitions":"DefaultStyleDefinitions is a global option that specifies the default stylesheet for all new notebooks.", - "DefaultTicksStyle":"DefaultTicksStyle is a low-level option for graphics functions that specifies the default style to use in rendering ticks.", - "DefaultTooltipStyle":"DefaultTooltipStyle is a low-level option for tooltips that specifies the default style to use in displaying their elements.", - "DefaultValues":"RowBox[{\"DefaultValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all defaults (values for RowBox[{\"Default\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", - "Defer":"RowBox[{\"Defer\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields an object that displays as the unevaluated form of StyleBox[\"expr\", \"TI\"], but that is evaluated if it is explicitly given as StyleBox[\"Wolfram Language\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] input. ", - "DefineInputStreamMethod":"RowBox[{\"DefineInputStreamMethod\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \" \", \"}\"}]}], \"]\"}] defines a custom input stream method with the specified name, allowing StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] to call the stream functions SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"i\", \"TI\"]] for opening and reading from an input stream.", - "DefineOutputStreamMethod":"RowBox[{\"DefineOutputStreamMethod\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"fname\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"function\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \" \", \"}\"}]}], \"]\"}] defines a custom output stream method with the specified name, allowing StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] to call the stream functions for opening and writing to an output stream.", - "Definition":"RowBox[{\"Definition\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] prints as the definitions given for a symbol. ", - "Degree":"Degree gives the number of radians in one degree. It has a numerical value of FractionBox[\"π\", \"180\"]. ", - "DegreeCentrality":"RowBox[{\"DegreeCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of vertex degrees for the vertices in the underlying simple graph of StyleBox[\"g\", \"TI\"].\nRowBox[{\"DegreeCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of vertex in-degrees.\nRowBox[{\"DegreeCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of vertex out-degrees.\nRowBox[{\"DegreeCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "DegreeGraphDistribution":"RowBox[{\"DegreeGraphDistribution\", \"[\", StyleBox[\"dlist\", \"TI\"], \"]\"}] represents a degree graph distribution with vertex degree StyleBox[\"dlist\", \"TI\"].", - "DEigensystem":"RowBox[{\"DEigensystem\", \"[\", RowBox[{RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"TI\"], \"]\"}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{StyleBox[RowBox[{\"{\", RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"}\"}], \"TI\"], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues and eigenfunctions for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"DEigensystem\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{StyleBox[RowBox[{\"{\", RowBox[{\"x\", \",\", \"y\", \",\", \"…\"}], \"}\"}], \"TI\"], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues and eigenfunctions for solutions StyleBox[\"u\", \"TI\"] of the time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", - "DEigenvalues":"RowBox[{\"DEigenvalues\", \"[\", RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}]}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"DEigenvalues\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues for solutions StyleBox[\"u\", \"TI\"] of the time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", - "Deinitialization":"Deinitialization is an option for Dynamic, DynamicModule, Manipulate, and related constructs that specifies an expression to be evaluated when the construct can no longer be displayed or used. ", - "Del":"RowBox[{\"Del\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"∇\", StyleBox[\"x\", \"TI\"]}].", - "DelaunayMesh":"RowBox[{\"DelaunayMesh\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a MeshRegion representing the Delaunay mesh from the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "Delayed":"RowBox[{\"Delayed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an expression whose evaluation is delayed until its value is externally requested.\nRowBox[{\"Delayed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that the result from evaluating StyleBox[\"expr\", \"TI\"] should be given in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"Delayed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"rform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the result should be given as a response of the form StyleBox[\"rform\", \"TI\"].", - "Deletable":"Deletable is an option for Cell that specifies whether the cell can be deleted interactively using the front end. ", - "Delete":"RowBox[{\"Delete\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] deletes the element at position StyleBox[\"n\", \"TI\"] in StyleBox[\"expr\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"Delete\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes the part at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Delete\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes parts at several positions. \nRowBox[{\"Delete\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents an operator form of Delete that can be applied to an expression.", - "DeleteBorderComponents":"RowBox[{\"DeleteBorderComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] replaces connected components adjacent to the border in a binary image StyleBox[\"image\", \"TI\"] with background pixels.\nRowBox[{\"DeleteBorderComponents\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] replaces components adjacent to the border in a label matrix StyleBox[\"m\", \"TI\"] with 0.", - "DeleteCases":"RowBox[{\"DeleteCases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] removes all elements of StyleBox[\"expr\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"DeleteCases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] removes all parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"DeleteCases\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] removes the first StyleBox[\"n\", \"TI\"] parts of StyleBox[\"expr\", \"TI\"] that match StyleBox[\"pattern\", \"TI\"]. \nRowBox[{\"DeleteCases\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of DeleteCases that can be applied to an expression.", - "DeleteChannel":"RowBox[{\"DeleteChannel\", \"[\", StyleBox[\"channel\", \"TI\"], \"]\"}] deletes the specified channel from the channel broker server.\nRowBox[{\"DeleteChannel\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes all the SubscriptBox[StyleBox[\"channel\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DeleteChannel\", \"[\", \"]\"}] deletes all channels owned by the currently authenticated user.", - "DeleteCloudExpression":"RowBox[{\"DeleteCloudExpression\", \"[\", \"StyleBox[name, TI]StyleBox[\", TI], \"]\"}] deletes the cloud expression identified by StyleBox[StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"TI\"].\nRowBox[{\"DeleteCloudExpression\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the cloud expression StyleBox[\"obj\", \"TI\"].", - "DeleteContents":"DeleteContents is an option for DeleteDirectory that specifies whether the contents of directories should automatically be deleted.", - "DeleteDirectory":"RowBox[{\"DeleteDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes the specified directory. ", - "DeleteDuplicates":"RowBox[{\"DeleteDuplicates\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] deletes all duplicates from StyleBox[\"list\", \"TI\"].\nRowBox[{\"DeleteDuplicates\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] applies StyleBox[\"test\", \"TI\"] to pairs of elements to determine whether they should be considered duplicates. ", - "DeleteDuplicatesBy":"RowBox[{\"DeleteDuplicatesBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] deletes those SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] that yield duplicates in the list RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"DeleteDuplicatesBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of DeleteDuplicatesBy that can be applied to an expression.", - "DeleteFile":"RowBox[{\"DeleteFile\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes a file. \nRowBox[{\"DeleteFile\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes a list of files. ", - "DeleteMissing":"RowBox[{\"DeleteMissing\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] drops elements with head Missing from a list.\nRowBox[{\"DeleteMissing\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] drops elements whose values have head Missing from the association StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"DeleteMissing\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies DeleteMissing to any lists or associations that occur within the first StyleBox[\"n\", \"TI\"] levels of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"DeleteMissing\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] considers an element at level StyleBox[\"n\", \"TI\"] to be missing if Missing occurs within the first StyleBox[\"d\", \"TI\"] levels of the element.", - "DeleteObject":"RowBox[{\"DeleteObject\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"DeleteObject\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes all the SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DeletePermissionsKey":"RowBox[{\"DeletePermissionsKey\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] deletes a permissions key, rendering it invalid.\nRowBox[{\"DeletePermissionsKey\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes several permissions keys.", - "DeleteSearchIndex":"RowBox[{\"DeleteSearchIndex\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the search index represented by the search index object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"DeleteSearchIndex\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes the search index with the specified name in the RowBox[{\"SearchIndices\", \"[\", \"]\"}] list.", - "DeleteSmallComponents":"RowBox[{\"DeleteSmallComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] replaces small connected components in a binary image StyleBox[\"image\", \"TI\"] with background pixels.\nRowBox[{\"DeleteSmallComponents\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] replaces positive integers in a label matrix StyleBox[\"m\", \"TI\"] with 0 if their tally is small.\nRowBox[{\"DeleteSmallComponents\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] replaces components consisting of StyleBox[\"n\", \"TI\"] or fewer elements.", - "DeleteStopwords":"RowBox[{\"DeleteStopwords\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] deletes stopwords from a list of words.\nRowBox[{\"DeleteStopwords\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] deletes stopwords from a string.\nRowBox[{\"DeleteStopwords\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes stopwords from a list of strings.", - "DeletionWarning":"DeletionWarning is an option for InterpretationBox or TagBox objects that specifies whether a warning is issued if the box is deleted.", - "DelimitedSequence":"RowBox[{\"DelimitedSequence\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents a delimited sequence of elements of the specified form in Interpreter and related functions.\nRowBox[{\"DelimitedSequence\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"sep\", \"TI\"]}], \"]\"}] assumes a separator that matches StyleBox[\"sep\", \"TI\"].\nRowBox[{\"DelimitedSequence\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"sep\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}]}], \"]\"}] assumes left and right delimiters matching StyleBox[\"left\", \"TI\"] and StyleBox[\"right\", \"TI\"], respectively.", - "Delimiter":"Delimiter represents a delimiter to be displayed in objects such as PopupMenu, Manipulate, and FormObject. ", - "DelimiterFlashTime":"DelimiterFlashTime is an option for cells and notebooks that specifies how long in seconds a delimiter should flash when its matching delimiter is entered. ", - "DelimiterMatching":"DelimiterMatching is an option for selections that specifies whether an opening delimiter will match only its respective closing delimiter or any closing delimiter.", - "Delimiters":"Delimiters is an option to various functions that specifies what delimiters to use or look for.", - "DeliveryFunction":"DeliveryFunction is an option that specifies how material such as documents generated by DocumentGenerator should be delivered.", - "Dendrogram":"RowBox[{\"Dendrogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] constructs a dendrogram from the hierarchical clustering of the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Dendrogram\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed dendrogram.\nRowBox[{\"Dendrogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed dendrogram.\nRowBox[{RowBox[{\"Dendrogram\", \"[\", RowBox[{\"\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"\"}], \"]\"}] represents SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] using labels SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the constructed dendrogram.\nRowBox[{\"Dendrogram\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"orientation\", \"TI\"]}], \"]\"}] constructs an oriented dendrogram according to StyleBox[\"orientation\", \"TI\"].\nRowBox[{\"Dendrogram\", \"[\", StyleBox[\"tree\", \"TI\"], \"]\"}] constructs the dendrogram corresponding to weighted tree StyleBox[\"tree\", \"TI\"]. ", - "Denominator":"RowBox[{\"Denominator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the denominator of StyleBox[\"expr\", \"TI\"]. ", - "DensityGraphics":"RowBox[{\"DensityGraphics\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a representation of a density plot. ", - "DensityHistogram":"RowBox[{\"DensityHistogram\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a density histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"DensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a density histogram with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"DensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a density histogram with bin densities computed according to the specification StyleBox[\"hspec\", \"TI\"].", - "DensityPlot":"RowBox[{\"DensityPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a density plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"DensityPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", - "DensityPlot3D":"RowBox[{\"DensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a density plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"DensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables to be in the geometric region StyleBox[\"reg\", \"TI\"].", - "DependentVariables":"DependentVariables is an option for NDSolve and other functions that specifies the list of all objects that should be considered as dependent variables in equations that have been supplied.", - "Deploy":"RowBox[{\"Deploy\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields a deployed version of StyleBox[\"expr\", \"TI\"] in which elements such as Slider, InputField, Locator and Button are active, but general editing and selection is disabled. ", - "Deployed":"Deployed is an option for displayed objects, cells, and notebooks that specifies whether their contents should be considered deployed, so that elements such as Slider, InputField, Locator, and Button are active, but general editing and selection is disabled. ", - "Depth":"RowBox[{\"Depth\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the maximum number of indices needed to specify any part of StyleBox[\"expr\", \"TI\"], plus 1. ", - "DepthFirstScan":"RowBox[{\"DepthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a depth-first scan of the graph StyleBox[\"g\", \"TI\"] starting at the vertex StyleBox[\"s\", \"TI\"] and evaluates SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever \"SubscriptBox[\nStyleBox[\"event\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs.\nRowBox[{\"DepthFirstScan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs a depth-first scan of the whole graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"DepthFirstScan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "Derivative":"RowBox[{StyleBox[\"f\", \"TI\"], \"'\"}] represents the derivative of a function StyleBox[\"f\", \"TI\"] of one argument. \nRowBox[{RowBox[{\"Derivative\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] is the general form, representing a function obtained from StyleBox[\"f\", \"TI\"] by differentiating SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] times with respect to the first argument, SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] times with respect to the second argument, and so on. ", - "DerivativeFilter":"RowBox[{\"DerivativeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] computes the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] derivative of StyleBox[\"data\", \"TI\"] at level StyleBox[\"i\", \"TI\"].\nRowBox[{\"DerivativeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] computes the derivative at a Gaussian scale of standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"DerivativeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes several derivatives SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"der\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "DescriptorStateSpace":"DescriptorStateSpace is an option to StateSpaceModel and StateSpaceTransform that specifies whether to use descriptor or standard representation.", - "DesignMatrix":"RowBox[{\"DesignMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs the design matrix for the linear model RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"0\", \"TR\"]], \"+\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"2\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"+\", StyleBox[\"…\", \"TR\"]}].", - "Det":"RowBox[{\"Det\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the determinant of the square matrix StyleBox[\"m\", \"TI\"]. ", - "DeviceClose":"RowBox[{\"DeviceClose\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] closes the connection to a device and frees related resources.", - "DeviceConfigure":"RowBox[{\"DeviceConfigure\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"config\", \"TI\"]}], \"]\"}] configures the specified device according to StyleBox[\"config\", \"TI\"].", - "DeviceExecute":"RowBox[{\"DeviceExecute\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] executes the specified command on a device.\nRowBox[{\"DeviceExecute\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"params\", \"TI\"]}], \"]\"}] executes the command with the parameters StyleBox[\"params\", \"TI\"].", - "DeviceExecuteAsynchronous":"RowBox[{\"DeviceExecuteAsynchronous\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] initiates asynchronous execution of the specified command on a device, calling the handler function StyleBox[\"fun\", \"TI\"] when an event occurs.\nRowBox[{\"DeviceExecuteAsynchronous\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] executes the command with the parameters StyleBox[\"params\", \"TI\"].", - "DeviceObject":"RowBox[{\"DeviceObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a device that can be accessed in a Wolfram Language session.", - "DeviceOpen":"RowBox[{\"DeviceOpen\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"devclass\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a connection to the first available device in the class specified by \"\nStyleBox[\"devclass\", \"TI\"]\".\nRowBox[{\"DeviceOpen\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"devclass\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] opens a connection to the particular device defined by StyleBox[\"spec\", \"TI\"].\nRowBox[{\"DeviceOpen\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] opens a connection to an existing device specified by a DeviceObject.", - "DeviceRead":"RowBox[{\"DeviceRead\", \"[\", StyleBox[\"devobj\", \"TI\"], \"]\"}] reads a single default item from the open device corresponding to the specified DeviceObject.\nRowBox[{\"DeviceRead\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"devclass\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads from the default device in the class \"StyleBox[\"devclass\", \"TI\"]\".\nRowBox[{\"DeviceRead\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] reads the parameter StyleBox[\"param\", \"TI\"] from the specified device.\nRowBox[{\"DeviceRead\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads the list of parameters SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the specified device.", - "DeviceReadBuffer":"RowBox[{\"DeviceReadBuffer\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] reads the complete contents of the buffer on a device.\nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads StyleBox[\"n\", \"TI\"] elements from the buffer.\nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] reads elements from the buffer until the device-specific criterion StyleBox[\"crit\", \"TI\"] is met.\nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] reads elements associated with the parameter StyleBox[\"param\", \"TI\"]. \nRowBox[{\"DeviceReadBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads elements associated with the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DeviceReadLatest":"RowBox[{\"DeviceReadLatest\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] returns the most recently collected default item from a device.\nRowBox[{\"DeviceReadLatest\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a list of the StyleBox[\"n\", \"TI\"] most recently collected items.\nRowBox[{\"DeviceReadLatest\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] returns the StyleBox[\"n\", \"TI\"] most recently collected values of StyleBox[\"param\", \"TI\"].\nRowBox[{\"DeviceReadLatest\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of the most recently collected values of the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DeviceReadList":"RowBox[{\"DeviceReadList\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads from the specified device StyleBox[\"n\", \"TI\"] times, returning a list of the results.\nRowBox[{\"DeviceReadList\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] reads the parameter StyleBox[\"param\", \"TI\"].\nRowBox[{\"DeviceReadList\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads the list of parameters SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DeviceReadTimeSeries":"RowBox[{\"DeviceReadTimeSeries\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}]}], \"]\"}] repeatedly reads default items from the specified device at interval StyleBox[\"dt\", \"TI\"] for a total time StyleBox[\"t\", \"TI\"], returning a time series of the resulting values.\nRowBox[{\"DeviceReadTimeSeries\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] repeatedly reads the parameter StyleBox[\"param\", \"TI\"] and returns a time series of its values.\nRowBox[{\"DeviceReadTimeSeries\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] repeatedly reads the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and returns a time series of their values.", - "Devices":"RowBox[{\"Devices\", \"[\", \"]\"}] gives a list of registered devices on a particular system.\nRowBox[{\"Devices\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives a list of devices in classes whose names match the string pattern StyleBox[\"form\", \"TI\"].\nRowBox[{\"Devices\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of devices in classes whose names match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DeviceStreams":"RowBox[{\"DeviceStreams\", \"[\", StyleBox[\"device\", \"TI\"], \"]\"}] gives a list of all open streams associated with a device.\nRowBox[{\"DeviceStreams\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of streams whose names match the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"DeviceStreams\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of streams whose names match any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DeviceWrite":"RowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] writes the value StyleBox[\"val\", \"TI\"] to the specified device.\nRowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes the sequence of values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to the specified device.\nRowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{StyleBox[\"param\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] writes StyleBox[\"val\", \"TI\"] as the value of the parameter StyleBox[\"param\", \"TI\"].\nRowBox[{\"DeviceWrite\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes values of several parameters.", - "DeviceWriteBuffer":"RowBox[{\"DeviceWriteBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", StyleBox[\"vals\", \"TI\"]}], \"]\"}] fills the buffer on a device with the values StyleBox[\"vals\", \"TI\"].\nRowBox[{\"DeviceWriteBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{StyleBox[\"param\", \"TI\"], \"\", StyleBox[\"vals\", \"TI\"]}]}], \"]\"}] fills the buffer associated with the parameter StyleBox[\"param\", \"TI\"] with the values StyleBox[\"vals\", \"TI\"].\nRowBox[{RowBox[{\"DeviceWriteBuffer\", \"[\", RowBox[{StyleBox[\"device\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[SubscriptBox[\"vals\", StyleBox[\"1\", \"TR\"]], \"TI\"]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", StyleBox[SubscriptBox[\"vals\", StyleBox[\"2\", \"TR\"]], \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] fills the buffers associated with the SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] with the corresponding values StyleBox[RowBox[{SubscriptBox[StyleBox[RowBox[{\"v\", StyleBox[\"als\", \"TI\"]}]], StyleBox[\"i\", \"TI\"]], \" \"}], \"TI\"].", - "DGaussianWavelet":"RowBox[{\"DGaussianWavelet\", \"[\", \"]\"}] represents a derivative of Gaussian wavelet of derivative order 2.\nRowBox[{\"DGaussianWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a derivative of Gaussian wavelet of derivative order StyleBox[\"n\", \"TI\"].", - "DiacriticalPositioning":"DiacriticalPositioning is an option for UnderscriptBox and related boxes that specifies how close diacritical characters are drawn to the base character.", - "Diagonal":"RowBox[{\"Diagonal\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the list of elements on the leading diagonal of the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"Diagonal\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the elements on the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] diagonal of StyleBox[\"m\", \"TI\"].", - "DiagonalizableMatrixQ":"RowBox[{\"DiagonalizableMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is diagonalizable, and False otherwise. ", - "DiagonalMatrix":"RowBox[{\"DiagonalMatrix\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a matrix with the elements of StyleBox[\"list\", \"TI\"] on the leading diagonal, and 0 elsewhere. \nRowBox[{\"DiagonalMatrix\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a matrix with the elements of StyleBox[\"list\", \"TI\"] on the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] diagonal.\nRowBox[{\"DiagonalMatrix\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] pads with 0s to create an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] matrix.", - "Dialog":"RowBox[{\"Dialog\", \"[\", \"]\"}] initiates a dialog. \nRowBox[{\"Dialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] initiates a dialog with StyleBox[\"expr\", \"TI\"] as the current value of %. ", - "DialogInput":"RowBox[{\"DialogInput\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] interactively puts up StyleBox[\"expr\", \"TI\"] as a dialog notebook, waits until a RowBox[{\"DialogReturn\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] is evaluated from within it, and then returns the result StyleBox[\"e\", \"TI\"]. \nRowBox[{\"DialogInput\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] sets up local variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"…\", \"TR\"] in StyleBox[\"expr\", \"TI\"].", - "DialogNotebook":"RowBox[{\"DialogNotebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a dialog notebook that can be manipulated by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", - "DialogProlog":"DialogProlog is an option for Dialog that can give an expression to evaluate before the dialog starts. ", - "DialogReturn":"RowBox[{\"DialogReturn\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] closes a dialog window, returning the expression StyleBox[\"expr\", \"TI\"] from the dialog.\nRowBox[{\"DialogReturn\", \"[\", \"]\"}] closes a dialog window, returning Null.", - "DialogSymbols":"DialogSymbols is an option for Dialog that gives a list of symbols whose values should be localized in the dialog. ", - "Diamond":"RowBox[{\"Diamond\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋄\", StyleBox[\"y\", \"TI\"], \"⋄\", StyleBox[\"…\", \"TR\"]}].", - "DiamondMatrix":"RowBox[{\"DiamondMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix whose elements are 1 in a diamond-shaped region that extends StyleBox[\"r\", \"TI\"] index positions to each side, and are 0 otherwise.\nRowBox[{\"DiamondMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a StyleBox[\"w\", \"TI\"]×StyleBox[\"w\", \"TI\"] matrix containing a diamond-shaped region of 1s.\nRowBox[{\"DiamondMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields an array whose elements are 1 in a diamond-shaped region that extends SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] index positions in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] direction.", - "DiceDissimilarity":"RowBox[{\"DiceDissimilarity\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the Dice dissimilarity between Boolean vectors StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"].", - "DictionaryLookup":"RowBox[{\"DictionaryLookup\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] finds all words in an English dictionary that match the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"DictionaryLookup\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives only the first StyleBox[\"n\", \"TI\"] words found.\nRowBox[{\"DictionaryLookup\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"lang\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"}\"}], \"]\"}] finds words in the language specified by StyleBox[\"lang\", \"TI\"].", - "DictionaryWordQ":"RowBox[{\"DictionaryWordQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] tests whether \"\nStyleBox[\"word\", \"TI\"]\" is a recognized dictionary word.", - "DifferenceDelta":"RowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the discrete difference RowBox[{RowBox[{SubscriptBox[\"\", \"i\"], \"f\"}], \"=\", RowBox[{RowBox[{\"f\", \"(\", RowBox[{\"i\", \"+\", \"1\"}], \")\"}], \"-\", RowBox[{\"f\", \"(\", \"i\", \")\"}]}]}].\nRowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple difference RowBox[{SubsuperscriptBox[\"\", \"i\", \"n\"], \"f\"}].\nRowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple difference with step StyleBox[\"h\", \"TI\"].\nRowBox[{\"DifferenceDelta\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes the partial difference with respect to StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], ….", - "DifferenceQuotient":"RowBox[{RowBox[{\"DifferenceQuotient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}], \" \"}] gives the difference quotient RowBox[{RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"+\", StyleBox[\"h\", \"TI\"]}], \")\"}], \"-\", RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]}], \")\"}], \"\/\", StyleBox[\"h\", \"TI\"]}].\nRowBox[{\"DifferenceQuotient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a multiple difference quotient with step StyleBox[\"h\", \"TI\"].\nRowBox[{\"DifferenceQuotient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", \"…\"}], \"]\"}] computes the partial difference quotient with respect to RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}].", - "DifferenceRoot":"RowBox[{RowBox[{\"DifferenceRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] gives the holonomic sequence RowBox[{\"h\", \"(\", \"k\", \")\"}], specified by the linear difference equation RowBox[{StyleBox[\"lde\", \"TI\"], \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}].\nRowBox[{\"DifferenceRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}] represents a pure holonomic sequence h.", - "DifferenceRootReduce":"RowBox[{\"DifferenceRootReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single DifferenceRoot object as a function of StyleBox[\"n\", \"TI\"].", - "Differences":"RowBox[{\"Differences\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the successive differences of elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Differences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] differences of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Differences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the differences of elements step StyleBox[\"s\", \"TI\"] apart.\nRowBox[{\"Differences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the successive SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]SuperscriptBox[\"\", \"th\"] differences at level StyleBox[\"k\", \"TI\"] in a nested list. ", - "DifferentialD":"RowBox[{\"DifferentialD\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"\", StyleBox[\"x\", \"TI\"]}].", - "DifferentialRoot":"RowBox[{RowBox[{\"DifferentialRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the holonomic function RowBox[{\"h\", \"(\", \"x\", \")\"}], specified by the linear differential equation RowBox[{StyleBox[\"lde\", \"TI\"], \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}].\nRowBox[{\"DifferentialRoot\", \"[\", StyleBox[\"lde\", \"TI\"], \"]\"}] represents a pure holonomic function h. ", - "DifferentialRootReduce":"RowBox[{\"DifferentialRootReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single DifferentialRoot object as a function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"DifferentialRootReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] takes the initial conditions to be specified at RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].", - "DifferentiatorFilter":"RowBox[{\"DifferentiatorFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a differentiator filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"DifferentiatorFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"DifferentiatorFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", - "DigitBlock":"DigitBlock is an option for NumberForm and related functions that specifies the maximum length of blocks of digits between breaks. ", - "DigitCharacter":"DigitCharacter represents a digit character 0–9 in StringExpression. ", - "DigitCount":"RowBox[{\"DigitCount\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the number of StyleBox[\"d\", \"TI\"] digits in the base-StyleBox[\"b\", \"TI\"] representation of StyleBox[\"n\", \"TI\"]. \nRowBox[{\"DigitCount\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of the numbers of 1, 2, …, RowBox[{StyleBox[\"b\", \"TI\"], \"-\", \"1\"}], 0 digits in the base-StyleBox[\"b\", \"TI\"] representation of StyleBox[\"n\", \"TI\"]. \nRowBox[{\"DigitCount\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the numbers of 1, 2, …, 9, 0 digits in the base-10 representation of StyleBox[\"n\", \"TI\"]. ", - "DigitQ":"RowBox[{\"DigitQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are digits in the range 0 through 9, and yields False otherwise. ", - "DihedralGroup":"RowBox[{\"DihedralGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the dihedral group of order StyleBox[RowBox[{\"2\", \"n\"}], \"TI\"].", - "Dilation":"RowBox[{\"Dilation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological dilation of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Dilation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the dilation with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Dilation\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies dilation to an array of data.", - "DimensionalCombinations":"RowBox[{\"DimensionalCombinations\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns the possible combinations of the list of physical quantities SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"i\", \"TI\"]] that are dimensionless.\nRowBox[{\"DimensionalCombinations\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dim\", \"TI\"]}], \"]\"}] returns the possible combinations of the list of physical quantities SubscriptBox[StyleBox[\"pq\", \"TI\"], StyleBox[\"i\", \"TI\"]] that match the dimensions of physical quantity StyleBox[\"dim\", \"TI\"].", - "DimensionalMeshComponents":"RowBox[{\"DimensionalMeshComponents\", \"[\", StyleBox[\"mr\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of regions such that SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"d\", \"TI\"]] has dimension StyleBox[\"d\", \"TI\"] for a mesh region StyleBox[\"mr\", \"TI\"].", - "DimensionReduce":"DimensionReduce[data] maps the elements of the matrix data into a lower dimensional space.\nOutputs {newdata, DimensionReducer}, where newdata is the data in the new space, and DimensionReducer is the dimensionality reduction function.", - "DimensionReducerFunction":"RowBox[{\"DimensionReducerFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by DimensionReduction that projects data onto a lower-dimensional approximating manifold.", - "DimensionReduction":"RowBox[{\"DimensionReduction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"DimensionReducerFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that projects from the space defined by the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a lower-dimensional approximating manifold.\nRowBox[{\"DimensionReduction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a RowBox[{\"DimensionReducerFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] for an StyleBox[\"n\", \"TI\"]-dimensional approximating manifold. \nRowBox[{\"DimensionReduction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] generates the specified properties of the dimensionality reduction. ", - "Dimensions":"RowBox[{\"Dimensions\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a list of the dimensions of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Dimensions\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the dimensions of StyleBox[\"expr\", \"TI\"] down to level StyleBox[\"n\", \"TI\"]. ", - "DiracComb":"RowBox[{\"DiracComb\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the Dirac comb function giving a delta function at every integer point. \nRowBox[{\"DiracComb\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional Dirac comb function.", - "DiracDelta":"RowBox[{\"DiracDelta\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the Dirac delta function RowBox[{\"δ\", \"(\", \"x\", \")\"}]. \nRowBox[{\"DiracDelta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional Dirac delta function RowBox[{\"δ\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", SubscriptBox[\"x\", \"2\"], \",\", \"…\"}], \")\"}]. ", - "DirectedEdge":"RowBox[{\"DirectedEdge\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"u\", \"TI\"], \"\", StyleBox[\"v\", \"TI\"]}] represents a directed edge from StyleBox[\"u\", \"TI\"] to StyleBox[\"v\", \"TI\"].", - "DirectedEdges":"DirectedEdges is an option for Graph, GraphPlot, and related functions that specifies whether edges should be taken to be directed.", - "DirectedGraph":"RowBox[{\"DirectedGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a directed graph from the undirected graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"DirectedGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"conv\", \"TI\"]}], \"]\"}] gives a directed graph using the conversion StyleBox[\"conv\", \"TI\"].\nRowBox[{\"DirectedGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "DirectedGraphQ":"RowBox[{\"DirectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a directed graph and False otherwise.", - "DirectedInfinity":"RowBox[{\"DirectedInfinity\", \"[\", \"]\"}] represents an infinite numerical quantity whose direction in the complex plane is unknown. \nRowBox[{\"DirectedInfinity\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] represents an infinite numerical quantity that is a positive real multiple of the complex number StyleBox[\"z\", \"TI\"]. ", - "Direction":"Direction is an option for Limit and related functions that specifies the direction in which the limit is taken.", - "Directive":"RowBox[{\"Directive\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a single graphics directive composed of the directives SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "Directory":"RowBox[{\"Directory\", \"[\", \"]\"}] gives the current working directory. ", - "DirectoryName":"RowBox[{\"DirectoryName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] extracts the directory name from the specification for a file. ", - "DirectoryQ":"RowBox[{\"DirectoryQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives True if the directory with the specified name exists, and gives False otherwise.", - "DirectoryStack":"RowBox[{\"DirectoryStack\", \"[\", \"]\"}] gives the directory stack that represents the sequence of current directories used. ", - "DirichletBeta":"RowBox[{\"DirichletBeta\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Dirichlet beta function RowBox[{\"β\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", - "DirichletCharacter":"RowBox[{\"DirichletCharacter\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Dirichlet character RowBox[{SubscriptBox[\"χ\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \"}\"}]], \"(\", StyleBox[\"n\", \"TI\"], \")\"}] with modulus StyleBox[\"k\", \"TI\"] and index StyleBox[\"j\", \"TI\"].", - "DirichletCondition":"RowBox[{\"DirichletCondition\", \"[\", RowBox[{StyleBox[\"beqn\", \"TI\"], \",\", StyleBox[\"pred\", \"TI\"]}], \"]\"}] represents a Dirichlet boundary condition given by equation StyleBox[\"beqn\", \"TI\"], satisfied on the part of the boundary of the region given to NDSolve and related functions where StyleBox[\"pred\", \"TI\"] is True.", - "DirichletConvolve":"RowBox[{\"DirichletConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Dirichlet convolution of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"]. ", - "DirichletDistribution":"RowBox[{\"DirichletDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[SubscriptBox[StyleBox[\"α\", \"TR\"], RowBox[{StyleBox[\"k\", \"TI\"], StyleBox[\"+\", \"TR\"], StyleBox[\"1\", \"TR\"]}]], \"TR\"]}], \"}\"}], \"]\"}] represents a Dirichlet distribution of dimension StyleBox[\"k\", \"TI\"] with shape parameters SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]].", - "DirichletEta":"RowBox[{\"DirichletEta\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Dirichlet eta function RowBox[{\"η\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", - "DirichletL":"RowBox[{\"DirichletL\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Dirichlet L-function RowBox[{StyleBox[\"L\", \"TI\"], \"(\", RowBox[{\"χ\", \",\", StyleBox[\"s\", \"TI\"]}], \")\"}] for the Dirichlet character RowBox[{\"χ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}] with modulus StyleBox[\"k\", \"TI\"] and index StyleBox[\"j\", \"TI\"].", - "DirichletLambda":"RowBox[{\"DirichletLambda\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Dirichlet lambda function RowBox[{\"λ\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", - "DirichletTransform":"RowBox[{\"DirichletTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Dirichlet transform of StyleBox[\"expr\", \"TI\"] with respect to StyleBox[\"n\", \"TI\"].", - "DirichletWindow":"RowBox[{\"DirichletWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Dirichlet window function of StyleBox[\"x\", \"TI\"].", - "DisableFormatting":"RowBox[{\"DisableFormatting\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a form that disables the formatting of StyleBox[\"expr\", \"TI\"] when it appears inside held expressions, but gives StyleBox[\"expr\", \"TI\"] as soon as evaluation occurs.", - "DiscreteChirpZTransform":"RowBox[{\"DiscreteChirpZTransform\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the chirp Z transform of StyleBox[\"list\", \"TI\"].\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a length StyleBox[\"n\", \"TI\"] chirp Z transform.\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] uses a spiral path on the complex z plane defined by StyleBox[\"w\", \"TI\"].\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] uses StyleBox[\"a\", \"TI\"] as the complex starting point.\nRowBox[{\"DiscreteChirpZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional chirp Z transform. ", - "DiscreteConvolve":"RowBox[{\"DiscreteConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the convolution with respect to StyleBox[\"n\", \"TI\"] of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"]. \nRowBox[{\"DiscreteConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional convolution.", - "DiscreteDelta":"RowBox[{\"DiscreteDelta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the discrete delta function RowBox[{StyleBox[\"δ\", \"TR\"], RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}]}], equal to 1 if all the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] are zero, and 0 otherwise. ", - "DiscreteHadamardTransform":"RowBox[{\"DiscreteHadamardTransform\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the discrete Hadamard transform of StyleBox[\"list\", \"TI\"].", - "DiscreteIndicator":"RowBox[{\"DiscreteIndicator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the discrete indicator function, equal to 1 if RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}] and, otherwise, to 0 if RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] for some StyleBox[\"i\", \"TI\"].", - "DiscreteLimit":"RowBox[{\"DiscreteLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]}], \"]\"}] gives the limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"k\", \")\"}]}], \"TI\"]}] for the sequence RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] as StyleBox[\"k\", \"TI\"] tends to infinity over the integers.\nRowBox[{\"DiscreteLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}]}]}] over the integers.\nRowBox[{\"DiscreteLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives the multivariate limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}] over the integers.", - "DiscreteLQEstimatorGains":"RowBox[{\"DiscreteLQEstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] gives the optimal discrete-time estimator gain matrix with sampling period StyleBox[\"τ\", \"TR\"] for the continuous-time StateSpaceModel StyleBox[\"ssm\", \"TI\"], with process and measurement noise covariance matrices StyleBox[\"w\", \"TI\"] and StyleBox[\"v\", \"TI\"].\nRowBox[{\"DiscreteLQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the noisy measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"DiscreteLQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", - "DiscreteLQRegulatorGains":"RowBox[{\"DiscreteLQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] gives the optimal discrete-time state feedback gain matrix with sampling period StyleBox[\"τ\", \"TR\"] for the continuous-time StateSpaceModel StyleBox[\"ssm\", \"TI\"] and the quadratic cost function, with state and control weighting matrices StyleBox[\"q\", \"TI\"] and StyleBox[\"r\", \"TI\"].\nRowBox[{\"DiscreteLQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] includes the state-control cross-coupling matrix StyleBox[\"p\", \"TI\"] in the cost function.\nRowBox[{\"DiscreteLQRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] specifies the feedback inputs of StyleBox[\"ssm\", \"TI\"].", - "DiscreteLyapunovSolve":"RowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] finds the numeric solution StyleBox[\"x\", \"TI\"] of the discrete matrix equation RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}], \"-\", StyleBox[\"x\", \"TI\"]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"-\", StyleBox[\"x\", \"TI\"]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}], \"-\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"d\", \"TI\"], \"\"}]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"DiscreteLyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"-\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"e\", \"TI\"]}]}], \"\", StyleBox[\"c\", \"TI\"]}].", - "DiscreteMarkovProcess":"RowBox[{\"DiscreteMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a discrete-time, finite-state Markov process with transition matrix StyleBox[\"m\", \"TI\"] and initial state SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"DiscreteMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a Markov process with initial state probability vector SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"DiscreteMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] represents a Markov process with transition matrix from the graph StyleBox[\"g\", \"TI\"].", - "DiscreteMaxLimit":"RowBox[{\"DiscreteMaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]}], \"]\"}] gives the max limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"k\", \")\"}]}], \"TI\"]}] of the sequence RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] as StyleBox[\"k\", \"TI\"] tends to ∞ over the integers.\nRowBox[{\"DiscreteMaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested max limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]], RowBox[{StyleBox[\"f\", \"TI\"], RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]}]}]}]}] over the integers.\nRowBox[{\"DiscreteMaxLimit\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives the multivariate max limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}] over the integers.", - "DiscreteMinLimit":"RowBox[{\"DiscreteMinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]}], \"]\"}] gives the min limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"k\", \"TI\"], \"\", \"∞\"}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"k\", \")\"}]}], \"TI\"]}] of the sequence RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] as StyleBox[\"k\", \"TI\"] tends to ∞ over the integers.\nRowBox[{\"DiscreteMinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested min limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}]}]}] over the integers.\nRowBox[{\"DiscreteMinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]}], \"]\"}] gives the multivariate min limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}], \"}\"}]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", RowBox[{SubscriptBox[\"k\", StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[\"k\", StyleBox[\"n\", \"TI\"]]}], \")\"}]}], \"TI\"]}] over the integers.", - "DiscretePlot":"RowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"n\", \"TI\"] runs from 1 to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"n\", \"TI\"] runs from SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dn\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"dn\", \"TI\"]. \nRowBox[{\"DiscretePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"DiscretePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the values of all the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DiscretePlot3D":"RowBox[{\"DiscretePlot3D\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"i\", \"TI\"] runs from SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] and StyleBox[\"j\", \"TI\"] runs from SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscretePlot3D\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dj\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"] and StyleBox[\"dj\", \"TI\"].\nRowBox[{\"DiscretePlot3D\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive StyleBox[\"i\", \"TI\"] values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … and StyleBox[\"j\", \"TI\"] values SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], …. \nRowBox[{\"DiscretePlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the values of all the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DiscreteRatio":"RowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the discrete ratio FractionBox[RowBox[{\"f\", \"(\", RowBox[{\"i\", \"+\", \"1\"}], \")\"}], RowBox[{\"f\", \"(\", \"i\", \")\"}]].\nRowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple discrete ratio.\nRowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple discrete ratio with step StyleBox[\"h\", \"TI\"]. \nRowBox[{\"DiscreteRatio\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes the partial difference ratio with respect to StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], ….", - "DiscreteRiccatiSolve":"RowBox[{\"DiscreteRiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the matrix StyleBox[\"x\", \"TI\"] that is the stabilizing solution of the discrete algebraic Riccati equation RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", StyleBox[\"x\", \"TI\"], \"-\", RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"], \".\", SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", RowBox[{TemplateBox[{\"b\"}, \"ConjugateTranspose\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \")\"}], RowBox[{\"-\", \"1\"}]], \".\", SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}].\nRowBox[{\"DiscreteRiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", StyleBox[\"x\", \"TI\"], \"-\", RowBox[{RowBox[{\"(\", RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"+\", StyleBox[\"p\", \"TI\"]}], \")\"}], \".\", SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", RowBox[{TemplateBox[{\"b\"}, \"ConjugateTranspose\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \")\"}], RowBox[{\"-\", \"1\"}]], \".\", RowBox[{\"(\", RowBox[{RowBox[{SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"+\", SuperscriptBox[\"p\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}]}], \")\"}]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}].", - "DiscreteShift":"RowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the discrete shift RowBox[{RowBox[{SubscriptBox[\"\", StyleBox[\"i\", \"TI\"]], RowBox[{\"(\", RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"i\", \"TI\"], \")\"}], \")\"}]}], \"\", RowBox[{StyleBox[\"f\", \"TI\"], \"(\", RowBox[{StyleBox[\"i\", \"TI\"], \"+\", \"1\"}], \")\"}]}]. \nRowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple shift RowBox[{SubsuperscriptBox[\"\", StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", StyleBox[\"f\", \"TI\"]}].\nRowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple shift of step StyleBox[\"h\", \"TI\"].\nRowBox[{\"DiscreteShift\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] computes partial shifts with respect to StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], ….", - "DiscreteTimeModelQ":"RowBox[{\"DiscreteTimeModelQ\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives True if StyleBox[\"lsys\", \"TI\"] is a discrete-time systems model, and False otherwise.", - "DiscreteUniformDistribution":"RowBox[{\"DiscreteUniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] represents a discrete uniform distribution over the integers from SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DiscreteUniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate discrete uniform distribution over integers within the box RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "DiscreteVariables":"DiscreteVariables is an option for NDSolve and other functions that specifies variables that only change at discrete times in a temporal integration.", - "DiscreteWaveletData":"RowBox[{\"DiscreteWaveletData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"wind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"wtrans\", \"TI\"]}], \"]\"}] yields a discrete wavelet data object with wavelet coefficients SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to wavelet index SubscriptBox[StyleBox[\"wind\", \"TI\"], StyleBox[\"i\", \"TI\"]], wavelet StyleBox[\"wave\", \"TI\"], and wavelet transform StyleBox[\"wtrans\", \"TI\"].\nRowBox[{\"DiscreteWaveletData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"wind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"coef\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"wtrans\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a discrete wavelet data object assuming data dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "DiscreteWaveletPacketTransform":"RowBox[{\"DiscreteWaveletPacketTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the discrete wavelet packet transform (DWPT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"DiscreteWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the discrete wavelet packet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"DiscreteWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the discrete wavelet packet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", - "DiscreteWaveletTransform":"RowBox[{\"DiscreteWaveletTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the discrete wavelet transform (DWT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"DiscreteWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the discrete wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"DiscreteWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the discrete wavelet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", - "DiscretizeGraphics":"RowBox[{\"DiscretizeGraphics\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] discretizes a 2D or 3D graphic StyleBox[\"g\", \"TI\"] into a MeshRegion.\nRowBox[{\"DiscretizeGraphics\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] discretizes only the elements in StyleBox[\"g\", \"TI\"] that match the pattern StyleBox[\"patt\", \"TI\"].", - "DiscretizeRegion":"RowBox[{\"DiscretizeRegion\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] discretizes a region StyleBox[\"reg\", \"TI\"] into a MeshRegion.\nRowBox[{\"DiscretizeRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], \",\", SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]}], \"]\"}], \"×\", \"⋯\"}].", - "Discriminant":"RowBox[{\"Discriminant\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] computes the discriminant of the polynomial StyleBox[\"poly\", \"TI\"] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"Discriminant\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the discriminant modulo p.", - "DisjointQ":"RowBox[{\"DisjointQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] do not share any common elements, and False otherwise.", - "Disjunction":"RowBox[{\"Disjunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the disjunction of StyleBox[\"expr\", \"TI\"] over all choices of the Boolean variables SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Disk":"RowBox[{\"Disk\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a disk of radius StyleBox[\"r\", \"TI\"] centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].\nRowBox[{\"Disk\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives a disk of radius 1. \nRowBox[{\"Disk\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives an axis-aligned elliptical disk with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]].\nRowBox[{\"Disk\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a sector of a disk from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "DiskMatrix":"RowBox[{\"DiskMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix whose elements are 1 in a disk-shaped region of radius StyleBox[\"r\", \"TI\"], and are otherwise 0.\nRowBox[{\"DiskMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a StyleBox[\"w\", \"TI\"]×StyleBox[\"w\", \"TI\"] matrix containing a disk of 1s with radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"DiskMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields an array whose elements are 1 in an ellipsoidal region with semiaxis SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", - "DiskSegment":"RowBox[{\"DiskSegment\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the disk segment from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]] in a disk centered at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"DiskSegment\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the ellipse segment from angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]] in an axis-aligned ellipse with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"y\", \"TI\"]].", - "Dispatch":"RowBox[{\"Dispatch\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lhs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lhs\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an optimized dispatch table representation of a list of rules. The object produced by Dispatch can be used to give the rules in RowBox[{StyleBox[\"expr\", \"TI\"], \"\/.\", StyleBox[\"rules\", \"TI\"]}]. ", - "DispersionEstimatorFunction":"DispersionEstimatorFunction is an option for generalized linear model fitting functions that specifies the estimator for the dispersion parameter.", - "Display":"RowBox[{\"Display\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"graphics\", \"TI\"]}], \"]\"}] writes graphics or sound to the specified output channel in PostScript format. \nRowBox[{\"Display\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"graphics\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes graphics or sound in the specified format. \nRowBox[{\"Display\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes boxes, cells, or notebook expressions in the specified format. ", - "DisplayAllSteps":"DisplayAllSteps is an option to Animate and related functions that specifies whether all frames should be displayed in an animation, even if to do so would slow the animation down.", - "DisplayEndPacket":"RowBox[{\"DisplayEndPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates the end of a series of expressions relating to a postscript graphic.", - "DisplayForm":"RowBox[{\"DisplayForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with low-level boxes inside StyleBox[\"expr\", \"TI\"] shown in explicit two-dimensional or other form. ", - "DisplayFunction":"DisplayFunction is an option for graphics and sound functions that specifies a function to apply to graphics and sound objects before returning them.", - "DisplayPacket":"RowBox[{\"DisplayPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates the beginning of a series of expressions related to a PostScript graphic.", - "DisplayString":"RowBox[{\"DisplayString\", \"[\", StyleBox[\"graphics\", \"TI\"], \"]\"}] generates a string giving graphics or sound in PostScript format. \nRowBox[{\"DisplayString\", \"[\", RowBox[{StyleBox[\"graphics\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a string giving graphics or sound in the specified format. \nRowBox[{\"DisplayString\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a string giving boxes, cells, or notebook expressions in the specified format. ", - "DistanceFunction":"DistanceFunction is an option for functions such as Nearest that specifies the distance value to assume between any two specified points.", - "DistanceMatrix":"RowBox[{\"DistanceMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the matrix of distances between each pair of elements SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"j\", \"TI\"]]. \nRowBox[{\"DistanceMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the matrix of distances between each pair of elements SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]].", - "DistanceTransform":"RowBox[{\"DistanceTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the distance transform of StyleBox[\"image\", \"TI\"], in which the value of each pixel is replaced by its distance to the nearest background pixel.\nRowBox[{\"DistanceTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "Distribute":"RowBox[{\"Distribute\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] distributes StyleBox[\"f\", \"TI\"] over Plus appearing in any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Distribute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] distributes over StyleBox[\"g\", \"TI\"]. \nRowBox[{\"Distribute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] performs the distribution only if the head of StyleBox[\"expr\", \"TI\"] is StyleBox[\"f\", \"TI\"]. ", - "Distributed":"RowBox[{\"Distributed\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}] asserts that the random variable StyleBox[\"x\", \"TI\"] is distributed according to the probability distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Distributed\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] or RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}] asserts that the random vector RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is distributed according to the multivariate probability distribution StyleBox[\"dist\", \"TI\"].", - "DistributedContexts":"DistributedContexts is an option for various parallel computing functions that specifies which definitions for symbols appearing in an expression should be distributed to all parallel kernels.", - "DistributeDefinitions":"RowBox[{\"DistributeDefinitions\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] distributes all definitions for the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] to all parallel kernels.\nRowBox[{\"DistributeDefinitions\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] distributes definitions for all symbols in the specified context.", - "DistributionChart":"RowBox[{\"DistributionChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a distribution chart with a distribution symbol for each SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"DistributionChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a distribution chart with symbol features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"DistributionChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a distribution chart from multiple groups of datasets RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "DistributionFitTest":"RowBox[{\"DistributionFitTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed. \nRowBox[{\"DistributionFitTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"DistributionFitTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "DistributionParameterAssumptions":"RowBox[{\"DistributionParameterAssumptions\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives a logical expression for assumptions on parameters in the symbolic distribution StyleBox[\"dist\", \"TI\"].", - "DistributionParameterQ":"RowBox[{\"DistributionParameterQ\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] yields True if StyleBox[\"dist\", \"TI\"] is a valid distribution, and yields False otherwise.", - "Dithering":"Dithering is an option for ColorQuantize that specifies whether or not to apply dithering while quantizing the pixel values.", - "Div":"RowBox[{\"Div\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the divergence RowBox[{RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", RowBox[{RowBox[{\"∂\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}]}].\nRowBox[{\"Div\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the divergence in the coordinates StyleBox[\"chart\", \"TI\"].", - "Divide":"RowBox[{StyleBox[\"x\", \"TI\"], \"\/\", StyleBox[\"y\", \"TI\"]}] or RowBox[{\"Divide\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is equivalent to RowBox[{StyleBox[\"x\", \"TI\"], \" \", RowBox[{StyleBox[\"y\", \"TI\"], \"^\", RowBox[{\"-\", \"1\"}]}]}]. ", - "DivideBy":"RowBox[{StyleBox[\"x\", \"TI\"], \"\/=\", StyleBox[\"c\", \"TI\"]}] divides StyleBox[\"x\", \"TI\"] by StyleBox[\"c\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", - "Dividers":"Dividers is an option for Grid and related constructs that specifies where and how to draw divider lines.", - "DivideSides":"RowBox[{\"DivideSides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] divides each side of the equation or inequality StyleBox[\"rel\", \"TI\"] by StyleBox[\"x\", \"TI\"].\nRowBox[{\"DivideSides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] divides the corresponding sides of two equations or inequalities.\nRowBox[{\"DivideSides\", \"[\", StyleBox[\"rel\", \"TI\"], \"]\"}] divides each side of StyleBox[\"rel\", \"TI\"] by the right-hand side, producing a 1 right-hand side.", - "Divisible":"RowBox[{\"Divisible\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"n\", \"TI\"] is divisible by StyleBox[\"m\", \"TI\"], and yields False if it is not. ", - "Divisors":"RowBox[{\"Divisors\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the integers that divide StyleBox[\"n\", \"TI\"]. ", - "DivisorSigma":"RowBox[{\"DivisorSigma\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the divisor function RowBox[{SubscriptBox[\"σ\", StyleBox[\"k\", \"TI\"]], \"(\", StyleBox[\"n\", \"TI\"], \")\"}]. ", - "DivisorSum":"RowBox[{\"DivisorSum\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] represents the sum of RowBox[{StyleBox[\"form\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] for all StyleBox[\"i\", \"TI\"] that divide StyleBox[\"n\", \"TI\"].\nRowBox[{\"DivisorSum\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"]}], \"]\"}] includes only those divisors for which RowBox[{StyleBox[\"cond\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] gives True.", - "DMSList":"RowBox[{\"DMSList\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] converts an angle StyleBox[\"θ\", \"TR\"] given in decimal degrees to a DMS list RowBox[{\"{\", RowBox[{StyleBox[\"degree\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}].\nRowBox[{\"DMSList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dms\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a DMS string to a DMS list RowBox[{\"{\", RowBox[{StyleBox[\"degree\", \"TI\"], \",\", StyleBox[\"minute\", \"TI\"], \",\", StyleBox[\"second\", \"TI\"]}], \"}\"}].\nRowBox[{\"DMSList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"latlong\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts a latitude-longitude string to a pair of DMS lists.", - "DMSString":"RowBox[{\"DMSString\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] converts an angle StyleBox[\"θ\", \"TR\"] given in decimal degrees to a degrees-minutes-seconds string.\nRowBox[{\"DMSString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"}\"}], \"]\"}] converts latitude and longitude given in decimal degrees to a DMS latitude-longitude string.\nRowBox[{\"DMSString\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] converts a DMS list to a DMS string.", - "Do":"RowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] StyleBox[\"n\", \"TI\"] times. \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with the variable StyleBox[\"i\", \"TI\"] successively taking on the values 1 through SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] (in steps of 1). \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Do\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] looping over different values of StyleBox[\"j\", \"TI\"] etc. for each StyleBox[\"i\", \"TI\"]. ", - "DockedCells":"DockedCells is an option for notebooks that gives a list of cells that are to be displayed \"docked\" at the top of the notebook.", - "DocumentGenerator":"RowBox[{\"DocumentGenerator\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] represents a document generator with template StyleBox[\"template\", \"TI\"] to be evaluated on the schedule defined by StyleBox[\"timespec\", \"TI\"].\nRowBox[{\"DocumentGenerator\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"driver\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] takes parameters for filling the template from StyleBox[\"driver\", \"TI\"].", - "DocumentGeneratorInformation":"RowBox[{\"DocumentGeneratorInformation\", \"[\", StyleBox[\"cloudobj\", \"TI\"], \"]\"}] returns the properties of the DocumentGenerator StyleBox[\"cloudobj\", \"TI\"].\nRowBox[{\"DocumentGeneratorInformation\", \"[\", RowBox[{StyleBox[\"cloudobj\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property StyleBox[\"property\", \"TI\"].", - "DocumentGenerators":"RowBox[{\"DocumentGenerators\", \"[\", \"]\"}] returns a list of CloudObject expressions that represent currently deployed document generators.", - "DocumentNotebook":"RowBox[{\"DocumentNotebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a complete document notebook in the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", - "DocumentWeightingRules":"DocumentWeightingRules is an option for TextSearch and related functions that allows the specification of weights for documents based on the values of fields in the search index. ", - "DominantColors":"RowBox[{\"DominantColors\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns dominant colors in StyleBox[\"image\", \"TI\"].\nRowBox[{\"DominantColors\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] dominant colors in StyleBox[\"image\", \"TI\"].\nRowBox[{\"DominantColors\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns the specified property StyleBox[\"prop\", \"TI\"] for the regions that belong to the same dominant color.\nRowBox[{\"DominantColors\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the output in the specified StyleBox[\"format\", \"TI\"].\nRowBox[{\"DominantColors\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns dominant colors in each SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "DOSTextFormat":"DOSTextFormat is an option for OpenRead, OpenWrite, and OpenAppend that specifies whether files should be opened in text mode. With RowBox[{\"DOSTextFormat\", \" \", \"->\", \" \", \"True\"}], Mathematica uses the normal text format for the type of computer on which Mathematica is running. Text mode typically entails translation of a text file's line-ending characters into the newline character \"\\n\". With RowBox[{\"DOSTextFormat\", \" \", \"->\", \" \", \"False\"}], files are opened in \"binary mode\", in which no such translation is performed. On some systems, there is no difference between text mode and binary mode.", - "Dot":"RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"], \".\", StyleBox[\"c\", \"TI\"]}] or RowBox[{\"Dot\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives products of vectors, matrices, and tensors. ", - "DotDashed":"DotDashed is a graphics directive specifying that lines that follow should be drawn dot-dashed.", - "DotEqual":"RowBox[{\"DotEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≐\", StyleBox[\"y\", \"TI\"], \"≐\", StyleBox[\"…\", \"TR\"]}].", - "DotLayer":"RowBox[{\"DotLayer\", \"[\", \"]\"}] represents a net layer that takes the dot product of two tensors.", - "DotPlusLayer":"RowBox[{\"DotPlusLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is equivalent to RowBox[{\"LinearLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] and should no longer be used. ", - "Dotted":"Dotted is a graphics directive specifying that lines that follow should be drawn dotted.", - "DoubleBracketingBar":"RowBox[{\"DoubleBracketingBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"\"}].", - "DoubleDownArrow":"RowBox[{\"DoubleDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇓\", StyleBox[\"y…\", \"TI\"]}].", - "DoubleLeftArrow":"RowBox[{\"DoubleLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇐\", StyleBox[\"y\", \"TI\"], \"⇐\", StyleBox[\"…\", \"TR\"]}].", - "DoubleLeftRightArrow":"RowBox[{\"DoubleLeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇔\", StyleBox[\"y\", \"TI\"], \"⇔\", StyleBox[\"…\", \"TR\"]}].", - "DoubleLeftTee":"RowBox[{\"DoubleLeftTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⫤\", \"y\"}].", - "DoubleLongLeftArrow":"RowBox[{\"DoubleLongLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟸\", StyleBox[\"y\", \"TI\"], \"⟸\", StyleBox[\"…\", \"TR\"]}].", - "DoubleLongLeftRightArrow":"RowBox[{\"DoubleLongLeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟺\", StyleBox[\"y\", \"TI\"], \"⟺\", StyleBox[\"…\", \"TR\"]}].", - "DoubleLongRightArrow":"RowBox[{\"DoubleLongRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟹\", StyleBox[\"y\", \"TI\"], \"⟹\", StyleBox[\"…\", \"TR\"]}].", - "DoubleRightArrow":"RowBox[{\"DoubleRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇒\", StyleBox[\"y\", \"TI\"], \"⇒\", StyleBox[\"…\", \"TR\"]}].", - "DoubleRightTee":"RowBox[{\"DoubleRightTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊨\", \"y\"}].", - "DoubleUpArrow":"RowBox[{\"DoubleUpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇑\", StyleBox[\"y\", \"TI\"], \"⇑\", StyleBox[\"…\", \"TR\"]}].", - "DoubleUpDownArrow":"RowBox[{\"DoubleUpDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇕\", StyleBox[\"y\", \"TI\"], \"⇕\", StyleBox[\"…\", \"TR\"]}].", - "DoubleVerticalBar":"RowBox[{\"DoubleVerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∥\", StyleBox[\"y\", \"TI\"], \"∥\", StyleBox[\"…\", \"TR\"]}].", - "DoublyInfinite":"DoublyInfinite is an option for LerchPhi. With RowBox[{\"DoublyInfinite\", \" \", \"->\", \" \", \"True\"}], the summation is taken from -Infinity to Infinity. With RowBox[{\"DoublyInfinite\", \" \", \"->\", \" \", \"False\"}], the summation is taken from zero to Infinity.", - "DownArrow":"RowBox[{\"DownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↓\", StyleBox[\"y\", \"TI\"], \"↓\", StyleBox[\"…\", \"TR\"]}].", - "DownArrowBar":"RowBox[{\"DownArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⤓\", StyleBox[\"y\", \"TI\"], \"⤓\", StyleBox[\"…\", \"TR\"]}].", - "DownArrowUpArrow":"RowBox[{\"DownArrowUpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇵\", StyleBox[\"y\", \"TI\"], \"⇵\", StyleBox[\"…\", \"TR\"]}].", - "DownLeftRightVector":"RowBox[{\"DownLeftRightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥐\", StyleBox[\"y\", \"TI\"], \"⥐\", StyleBox[\"…\", \"TR\"]}].", - "DownLeftTeeVector":"RowBox[{\"DownLeftTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥞\", StyleBox[\"y\", \"TI\"], \"⥞\", StyleBox[\"…\", \"TR\"]}].", - "DownLeftVector":"RowBox[{\"DownLeftVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↽\", StyleBox[\"y\", \"TI\"], \"↽\", StyleBox[\"…\", \"TR\"]}].", - "DownLeftVectorBar":"RowBox[{\"DownLeftVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥖\", StyleBox[\"y\", \"TI\"], \"⥖\", StyleBox[\"…\", \"TR\"]}].", - "DownRightTeeVector":"RowBox[{\"DownRightTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥟\", StyleBox[\"y\", \"TI\"], \"⥟\", StyleBox[\"…\", \"TR\"]}].", - "DownRightVector":"RowBox[{\"DownRightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇁\", StyleBox[\"y\", \"TI\"], \"⇁\", StyleBox[\"…\", \"TR\"]}].", - "DownRightVectorBar":"RowBox[{\"DownRightVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥗\", StyleBox[\"y\", \"TI\"], \"⥗\", StyleBox[\"…\", \"TR\"]}].", - "Downsample":"RowBox[{\"Downsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a downsampled version of the array by sampling every StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] element.\nRowBox[{\"Downsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] starts sampling from the element at position StyleBox[\"offset\", \"TI\"].\nRowBox[{\"Downsample\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] downsamples an image.", - "DownTee":"RowBox[{\"DownTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊤\", \"y\"}].", - "DownTeeArrow":"RowBox[{\"DownTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↧\", StyleBox[\"y\", \"TI\"], \"↧\", StyleBox[\"…\", \"TR\"]}].", - "DownValues":"RowBox[{\"DownValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all downvalues defined for the symbol StyleBox[\"f\", \"TI\"]. ", - "DragAndDrop":"DragAndDrop is a global front end option that specifies whether to allow drag‐and‐drop editing. ", - "Drop":"RowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with its first StyleBox[\"n\", \"TI\"] elements dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with its last StyleBox[\"n\", \"TI\"] elements dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with its StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] element dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"list\", \"TI\"] with elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in steps of StyleBox[\"s\", \"TI\"] dropped. \nRowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list in which elements specified by SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]] have been dropped at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"]. ", - "DropoutLayer":"RowBox[{\"DropoutLayer\", \"[\", \"]\"}] represents a net layer that sets its input elements to zero with probability 0.5 during training, multiplying the remainder by 2.\nRowBox[{\"DropoutLayer\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] sets its input elements to zero with probability StyleBox[\"p\", \"TI\"] during training.", - "DSolve":"RowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] solves a differential equation for the function StyleBox[\"u\", \"TI\"], with independent variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves a differential equation for StyleBox[\"x\", \"TI\"] between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] solves a list of differential equations. \nRowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] solves a partial differential equation. \nRowBox[{\"DSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the partial differential equation StyleBox[\"eqn\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", - "DSolveValue":"RowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] determined by a symbolic solution to the ordinary differential equation StyleBox[\"eqn\", \"TI\"] with independent variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses a symbolic solution for StyleBox[\"x\", \"TI\"] between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"DSolveValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses a solution for the partial differential equation StyleBox[\"eqn\", \"TI\"]. \nRowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a symbolic solution for a list of differential equations.\nRowBox[{\"DSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] uses a solution of the partial differential equation StyleBox[\"eqn\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", - "Dt":"RowBox[{\"Dt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the total derivative RowBox[{StyleBox[\"d\", \"TI\"], StyleBox[\"f\", \"TI\"], \"\/\", StyleBox[\"d\", \"TI\"], StyleBox[\"x\", \"TI\"]}]. \nRowBox[{\"Dt\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives the total differential StyleBox[RowBox[{\"d\", \"f\"}], \"TI\"]. \nRowBox[{\"Dt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multiple derivative RowBox[{SuperscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]], StyleBox[\"f\", \"TI\"], \"\/\", StyleBox[\"d\", \"TI\"], SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]. \nRowBox[{\"Dt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives RowBox[{StyleBox[\"d\", \"TI\"], \"\/\", RowBox[{StyleBox[\"d\", \"TI\"], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", RowBox[{StyleBox[\"d\", \"TI\"], \"\/\", StyleBox[\"d\", \"TI\"]}], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", \"…\", \" \", StyleBox[\"f\", \"TI\"]}]}]. ", - "DualSystemsModel":"RowBox[{\"DualSystemsModel\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the dual of the state-space model StyleBox[\"ssm\", \"TI\"]. ", - "DumpGet":"RowBox[{\"DumpGet\", \"[\", \" \", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads in a file saved with DumpSave.", - "DumpSave":"RowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).mx\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"symbol\", \"TI\"]}], \"]\"}] writes definitions associated with a symbol to a file in internal StyleBox[\"Wolfram System\", \"RebrandingTerm\"] format. \nRowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).mx\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True]}], \"]\"}] writes out definitions associated with all symbols in the specified context. \nRowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).mx\\\"\",ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] writes out definitions for several symbols or contexts. \nRowBox[{\"DumpSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"package\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"objects\", \"TI\"]}], \"]\"}] chooses the name of the output file based on the computer system used. ", - "DuplicateFreeQ":"RowBox[{\"DuplicateFreeQ\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives True if StyleBox[\"list\", \"TI\"] has no duplicates, and False otherwise.\nRowBox[{\"DuplicateFreeQ\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] applies StyleBox[\"test\", \"TI\"] to pairs of elements to determine whether they should be considered duplicates.", - "Duration":"RowBox[{\"Duration\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the duration of StyleBox[\"expr\", \"TI\"].", - "Dynamic":"RowBox[{\"Dynamic\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an object that displays as the dynamically updated current value of StyleBox[\"expr\", \"TI\"]. If the displayed form of RowBox[{\"Dynamic\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is interactively changed or edited, an assignment RowBox[{StyleBox[\"expr\", \"TI\"], \"=\", StyleBox[\"val\", \"TI\"]}] is done to give StyleBox[\"expr\", \"TI\"] the new value StyleBox[\"val\", \"TI\"] that corresponds to the displayed form. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"None\"}], \"]\"}] does not allow interactive changing or editing. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] continually evaluates RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] during interactive changing or editing of StyleBox[\"val\", \"TI\"]. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \"]\"}] also evaluates RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"end\", \"TI\"]], \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] when interactive changing or editing is complete. \nRowBox[{\"Dynamic\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"start\", \"TI\"]], \",\", StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \"]\"}] also evaluates RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"start\", \"TI\"]], \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] when interactive changing or editing begins. ", - "DynamicBoxOptions":"RowBox[{DynamicBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for DynamicBox objects.", - "DynamicEvaluationTimeout":"DynamicEvaluationTimeout is an option for displayed objects, cells, and notebooks that specifies the timeout in seconds for any Dynamic computations they contain.", - "DynamicGeoGraphics":"RowBox[{\"DynamicGeoGraphics\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a dynamic, interactive, two-dimensional geographical image.", - "DynamicImage":"RowBox[{\"DynamicImage\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] displays a dynamic version of StyleBox[\"image\", \"TI\"], supporting panning, zooming, etc.\nRowBox[{\"DynamicImage\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] displays a dynamic version of the image stored in StyleBox[\"file\", \"TI\"]. \nRowBox[{\"DynamicImage\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] displays a dynamic version of the image stored in StyleBox[\"url\", \"TI\"].", - "DynamicModule":"RowBox[{\"DynamicModule\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an object which maintains the same local instance of the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in the course of all evaluations of Dynamic objects in StyleBox[\"expr\", \"TI\"]. Symbols specified in a DynamicModule will by default have their values maintained even across StyleBox[\"Wolfram System\", \"RebrandingTerm\"] sessions. \nRowBox[{\"DynamicModule\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies initial values for StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. ", - "DynamicModuleBoxOptions":"RowBox[{DynamicModuleBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for DynamicModuleBox objects.", - "DynamicModuleValues":"DynamicModuleValues is an option for DynamicModule that stores downvalues of local symbols.", - "DynamicSetting":"RowBox[{\"DynamicSetting\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] represents an object which displays as StyleBox[\"e\", \"TI\"], but is interpreted as the dynamically updated current value of RowBox[{\"Setting\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] if supplied as StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] input.\nRowBox[{\"DynamicSetting\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] displays as StyleBox[\"e\", \"TI\"], but is interpreted as RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] if supplied as input.", - "DynamicWrapper":"RowBox[{\"DynamicWrapper\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an object that displays as StyleBox[\"e\", \"TI\"], but dynamically updates the expression StyleBox[\"expr\", \"TI\"] whenever that object is visible on screen.", - "DynamicWrapperBoxOptions":"RowBox[{DynamicWrapperBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for DynamicWrapperBox objects.", - "E":"E is the exponential constant (base of natural logarithms), with numerical value RowBox[{\"≃\", \"2.71828\"}].", - "EarthImpactData":"RowBox[{\"EarthImpactData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the earth impact crater StyleBox[\"entity\", \"TI\"].\nRowBox[{\"EarthImpactData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified earth impact crater names.\nRowBox[{\"EarthImpactData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "EarthquakeData":"RowBox[{\"EarthquakeData\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives all earthquake properties for the location corresponding to StyleBox[\"loc\", \"TI\"].\nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"mag\", \"TI\"]}], \"]\"}] restricts earthquakes returned to the magnitude range StyleBox[\"mag\", \"TI\"]. \nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"mag\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] gives earthquake data within the magnitude range StyleBox[\"mag\", \"TI\"] during the time interval StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"mag\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a time series for the specific earthquake StyleBox[\"property\", \"TI\"] for earthquakes within the magnitude range StyleBox[\"mag\", \"TI\"] during the time interval StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"EarthquakeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns data for a specific earthquake. ", - "EccentricityCentrality":"RowBox[{\"EccentricityCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of eccentricity centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EccentricityCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "Echo":"RowBox[{\"Echo\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints StyleBox[\"expr\", \"TI\"] and returns StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Echo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] prints StyleBox[\"expr\", \"TI\"] prepending StyleBox[\"label\", \"TI\"] and returns StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Echo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] prints RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prepending StyleBox[\"label\", \"TI\"] and returns StyleBox[\"expr\", \"TI\"].", - "EchoFunction":"RowBox[{RowBox[{\"EchoFunction\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] and returns StyleBox[\"expr\", \"TI\"].\nRowBox[{RowBox[{\"EchoFunction\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], prepending StyleBox[\"label\", \"TI\"], and returns StyleBox[\"expr\", \"TI\"].", - "EclipseType":"EclipseType is an option for SolarEclipse and LunarEclipse that specifies the type of eclipse being queried for.", - "EdgeAdd":"RowBox[{\"EdgeAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] makes a graph by adding the edge StyleBox[\"e\", \"TI\"] to the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds a collection of edges to StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeAdd\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeBetweennessCentrality":"RowBox[{\"EdgeBetweennessCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of betweenness centralities for the edges in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeBetweennessCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeCapacity":"EdgeCapacity is an option and property for Graph and related functions that specifies an edge capacity.", - "EdgeConnectivity":"RowBox[{\"EdgeConnectivity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the edge connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] edge connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeConnectivity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeContract":"RowBox[{\"EdgeContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] contracts the edge StyleBox[\"e\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] contracts a collection of edges RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"EdgeContract\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeCost":"EdgeCost is an option and property for Graph and related functions that specifies an edge cost.", - "EdgeCount":"RowBox[{\"EdgeCount\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a count of the number of edges in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeCount\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a count of the number of edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"EdgeCount\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeCoverQ":"RowBox[{\"EdgeCoverQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"elist\", \"TI\"]}], \"]\"}] yields True if the edge list StyleBox[\"elist\", \"TI\"] is an edge cover of the graph StyleBox[\"g\", \"TI\"] and False otherwise.", - "EdgeCycleMatrix":"RowBox[{\"EdgeCycleMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the edge cycle matrix of a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeCycleMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeDelete":"RowBox[{\"EdgeDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] makes a graph by deleting the edge StyleBox[\"e\", \"TI\"] from the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes a collection of edges from StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] deletes all edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"EdgeDelete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeDetect":"RowBox[{\"EdgeDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds edges in StyleBox[\"image\", \"TI\"] and returns the result as a binary image.\nRowBox[{\"EdgeDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] finds edges at the scale of the specified pixel range StyleBox[\"r\", \"TI\"].\nRowBox[{\"EdgeDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses a threshold StyleBox[\"t\", \"TI\"] for selecting image edges.", - "EdgeForm":"RowBox[{\"EdgeForm\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] is a graphics directive that specifies that edges of polygons and other filled graphics objects are to be drawn using the graphics directive or list of directives StyleBox[\"g\", \"TI\"]. ", - "EdgeIndex":"RowBox[{\"EdgeIndex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] gives the integer index for the edge StyleBox[\"e\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeIndex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeLabeling":"EdgeLabeling is an option for GraphPlot and related functions that specifies whether labeling specified for edges should be displayed by default.", - "EdgeLabels":"EdgeLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for edges. ", - "EdgeLabelStyle":"EdgeLabelStyle is an option and property for Graph and related functions that specifies the style to use for edge labels.", - "EdgeList":"RowBox[{\"EdgeList\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of edges for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"EdgeList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeQ":"RowBox[{\"EdgeQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"e\", \"TI\"] is an edge in the graph StyleBox[\"g\", \"TI\"] and False otherwise.", - "EdgeRenderingFunction":"EdgeRenderingFunction is an option for GraphPlot and related functions that gives a function to generate the graphics primitives to use in rendering each edge.", - "EdgeRules":"RowBox[{\"EdgeRules\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of edge rules for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EdgeRules\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "EdgeShapeFunction":"EdgeShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each edge. ", - "EdgeStyle":"EdgeStyle is an option and property for Graph and related functions that specifies what style to use for edges. ", - "EdgeWeight":"EdgeWeight is an option and property for Graph and related functions that specifies an edge weight.", - "Editable":"Editable is an option for displayed objects, cells, and notebooks that specifies whether their contents can be edited interactively using the front end. ", - "EditCellTagsSettings":"EditCellTagsSettings is a global option that specifies settings for the StyleBox[\"Edit Cell Tags\", \"DialogElementName\"] dialog box.", - "EditDistance":"RowBox[{\"EditDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the edit or Levenshtein distance between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "EffectiveInterest":"RowBox[{\"EffectiveInterest\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the effective interest rate corresponding to interest specification StyleBox[\"r\", \"TI\"], compounded at time intervals StyleBox[\"q\", \"TI\"].", - "Eigensystem":"RowBox[{\"Eigensystem\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{StyleBox[\"values\", \"TI\"], \",\", StyleBox[\"vectors\", \"TI\"]}], \"}\"}] of the eigenvalues and eigenvectors of the square matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigensystem\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized eigenvalues and eigenvectors of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Eigensystem\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the eigenvalues and eigenvectors for the first StyleBox[\"k\", \"TI\"] eigenvalues of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigensystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] generalized eigenvalues and eigenvectors.", - "Eigenvalues":"RowBox[{\"Eigenvalues\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of the eigenvalues of the square matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvalues\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized eigenvalues of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Eigenvalues\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] eigenvalues of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvalues\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] generalized eigenvalues.", - "EigenvectorCentrality":"RowBox[{\"EigenvectorCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of eigenvector centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EigenvectorCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of in-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EigenvectorCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of out-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"EigenvectorCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "Eigenvectors":"RowBox[{\"Eigenvectors\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of the eigenvectors of the square matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvectors\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized eigenvectors of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Eigenvectors\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] eigenvectors of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Eigenvectors\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"k\", \"TI\"] generalized eigenvectors.", - "Element":"RowBox[{\"Element\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], StyleBox[\"dom\", \"TI\"]}] asserts that StyleBox[\"x\", \"TI\"] is an element of the domain StyleBox[\"dom\", \"TI\"]. \nRowBox[{\"Element\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}] asserts that StyleBox[\"x\", \"TI\"] is an element of the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Element\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that all the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are elements of StyleBox[\"dom\", \"TI\"]. \nRowBox[{\"Element\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that any expression matching the pattern StyleBox[\"patt\", \"TI\"] is an element of StyleBox[\"dom\", \"TI\"]. ", - "ElementData":"RowBox[{\"ElementData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the chemical element \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"ElementData\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] chemical element.", - "ElementwiseLayer":"RowBox[{\"ElementwiseLayer\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents a net layer that applies a unary function StyleBox[\"f\", \"TI\"] to every element of the input tensor.\nRowBox[{\"ElementwiseLayer\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] applies the function specified by \"StyleBox[\"name\", \"TI\"]\".", - "ElidedForms":"ElidedForms is an option to TextString and related functions that specifies which expressions should be elided.", - "Eliminate":"RowBox[{\"Eliminate\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] eliminates variables between a set of simultaneous equations. ", - "Ellipsoid":"RowBox[{\"Ellipsoid\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an axis-aligned ellipsoid centered at the point StyleBox[\"p\", \"TI\"] and with semiaxes lengths SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Ellipsoid\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents an ellipsoid centered at StyleBox[\"p\", \"TI\"] and weight matrix StyleBox[\"Σ\", \"TR\"].", - "EllipticE":"RowBox[{\"EllipticE\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the complete elliptic integral RowBox[{\"E\", \"(\", \"m\", \")\"}]. \nRowBox[{\"EllipticE\", \"[\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the elliptic integral of the second kind RowBox[{\"E\", \"(\", RowBox[{RowBox[{\"ϕ\", \"\"}], \"m\"}], \")\"}]. ", - "EllipticExp":"RowBox[{\"EllipticExp\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] is the inverse for EllipticLog. It produces a list RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] such that RowBox[{StyleBox[\"u\", \"TI\"], \"==\", RowBox[{\"EllipticLog\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}]}]. ", - "EllipticExpPrime":"RowBox[{\"EllipticExpPrime\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the derivative of RowBox[{\"EllipticExp\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] with respect to StyleBox[\"u\", \"TI\"].", - "EllipticF":"RowBox[{\"EllipticF\", \"[\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the elliptic integral of the first kind RowBox[{\"F\", \"(\", RowBox[{\"ϕ\", \"\", \"m\"}], \")\"}]. ", - "EllipticFilterModel":"RowBox[{\"EllipticFilterModel\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] designs a lowpass elliptic filter of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"EllipticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"}\"}], \"]\"}] uses the cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]].\nRowBox[{\"EllipticFilterModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \"]\"}] designs an elliptic filter of the specified type \"\nStyleBox[\"type\", \"TI\"]\", using the StyleBox[\"spec\", \"TI\"].\nRowBox[{\"EllipticFilterModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] expresses the model in terms of the variable StyleBox[\"var\", \"TI\"].", - "EllipticK":"RowBox[{\"EllipticK\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the complete elliptic integral of the first kind RowBox[{\"K\", \"(\", \"m\", \")\"}]. ", - "EllipticLog":"RowBox[{\"EllipticLog\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the generalized logarithm associated with the elliptic curve RowBox[{SuperscriptBox[\"y\", \"2\"], \"=\", RowBox[{SuperscriptBox[\"x\", \"3\"], \"+\", RowBox[{\"a\", \" \", SuperscriptBox[\"x\", \"2\"]}], \"+\", RowBox[{\"b\", \" \", \"x\"}]}]}]. ", - "EllipticNomeQ":"RowBox[{\"EllipticNomeQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the nome StyleBox[\"q\", \"TI\"] corresponding to the parameter StyleBox[\"m\", \"TI\"] in an elliptic function. ", - "EllipticPi":"RowBox[{\"EllipticPi\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the complete elliptic integral of the third kind RowBox[{StyleBox[\"Π\", \"TR\"], RowBox[{\"(\", RowBox[{StyleBox[\"n\", \"TI\"], \"\", StyleBox[\"m\", \"TI\"]}], \")\"}]}]. \nRowBox[{\"EllipticPi\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the incomplete elliptic integral RowBox[{StyleBox[\"Π\", \"TR\"], RowBox[{\"(\", RowBox[{StyleBox[\"n\", \"TI\"], \";\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \"\", StyleBox[\"m\", \"TI\"]}]}], \")\"}]}]. ", - "EllipticReducedHalfPeriods":"RowBox[{\"EllipticReducedHalfPeriods\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", \" \", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives a reduced pair of half periods RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", \" \", RowBox[{StyleBox[\"w\", \"TI\"], \"'\"}]}], \"}\"}] corresponding to the same lattice as that of RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", \" \", StyleBox[\"v\", \"TI\"]}], \"}\"}].", - "EllipticTheta":"RowBox[{\"EllipticTheta\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the theta function RowBox[{RowBox[{SubscriptBox[\"ϑ\", \"a\"], \"(\", RowBox[{\"u\", \",\", \"q\"}], \")\"}], RowBox[{\"(\", RowBox[{RowBox[{\"a\", \"=\", \"1\"}], \",\", \"…\", \",\", \"4\"}], \")\"}]}].\nRowBox[{\"EllipticTheta\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the theta constant RowBox[{RowBox[{SubscriptBox[\"θ\", \"a\"], \"(\", \"q\", \")\"}], \"\", RowBox[{SubscriptBox[\"θ\", \"a\"], \"(\", RowBox[{\"0\", \",\", \"q\"}], \")\"}]}].", - "EllipticThetaPrime":"RowBox[{\"EllipticThetaPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"u\", \"TI\"] of the theta function RowBox[{RowBox[{SubscriptBox[\"ϑ\", \"a\"], \"(\", RowBox[{\"u\", \",\", \"q\"}], \")\"}], RowBox[{\"(\", RowBox[{RowBox[{\"a\", \"=\", \"1\"}], \",\", \"…\", \",\", \"4\"}], \")\"}]}].\nRowBox[{\"EllipticThetaPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the theta constant RowBox[{SuperscriptBox[SubscriptBox[\"θ\", \"a\"], \"′\", MultilineFunction -> None], \"(\", RowBox[{\"0\", \",\", \"q\"}], \")\"}].", - "EmbedCode":"RowBox[{\"EmbedCode\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] generates the code necessary to embed the object StyleBox[\"obj\", \"TI\"] on a webpage.\nRowBox[{\"EmbedCode\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates code for an external environment or language of type \"StyleBox[\"dest\", \"TI\"]\".\nRowBox[{\"EmbedCode\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] saves the generated code as files in the directory StyleBox[\"dir\", \"TI\"].\nRowBox[{\"EmbedCode\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] saves the generated code as a file archive in the file location StyleBox[\"loc\", \"TI\"].", - "EmbeddedHTML":"RowBox[{\"EmbeddedHTML\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is an object that formats as a web frame containing the HTML content \"StyleBox[\"string\", \"TI\"]\". \nRowBox[{\"EmbeddedHTML\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] formats as a web rendering of the specified cloud object.", - "EmbeddedService":"RowBox[{\"EmbeddedService\", \"[\", StyleBox[\"service\", \"TI\"], \"]\"}] is an object that formats as a web frame containing content from the specified external service.", - "EmbeddingLayer":"RowBox[{\"EmbeddingLayer\", \"[\", RowBox[{StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a trainable net layer that embeds integers between 1 and StyleBox[\"n\", \"TI\"] into a continuous vector space of dimension StyleBox[\"size\", \"TI\"].\nRowBox[{\"EmbeddingLayer\", \"[\", StyleBox[\"size\", \"TI\"], \"]\"}] leaves the StyleBox[\"n\", \"TI\"] to be inferred from context.", - "EmitSound":"RowBox[{\"EmitSound\", \"[\", StyleBox[\"snd\", \"TI\"], \"]\"}] emits the sound StyleBox[\"snd\", \"TI\"] when evaluated. \nRowBox[{\"EmitSound\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"snd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"snd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] emits each of the sounds SubscriptBox[StyleBox[\"snd\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence. ", - "EmpiricalDistribution":"RowBox[{\"EmpiricalDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an empirical distribution based on the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EmpiricalDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate empirical distribution based on the data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"EmpiricalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an empirical distribution where data values SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]] occur with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "EmptyGraphQ":"RowBox[{\"EmptyGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if StyleBox[\"g\", \"TI\"] is an empty graph and False otherwise.", - "EmptyRegion":"RowBox[{\"EmptyRegion\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the empty subset of SuperscriptBox[\"\", \"n\"]. ", - "Enabled":"Enabled is an option for objects such as Slider that specifies whether the objects should be enabled for interactive manipulation. ", - "Encode":"RowBox[{\"Encode\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes an encoded version of the file StyleBox[\"source\", \"TI\"] to the file StyleBox[\"dest\", \"TI\"]. \nRowBox[{\"<<\", StyleBox[\"dest\", \"TI\"]}] decodes the file before reading its contents. \nRowBox[{\"Encode\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] produces an encoded file that must be read in using RowBox[{\"Get\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dest\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}]. ", - "Encrypt":"RowBox[{\"Encrypt\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] encrypts StyleBox[\"expr\", \"TI\"] using the specified password, to give an encrypted object.\nRowBox[{\"Encrypt\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] encrypts StyleBox[\"expr\", \"TI\"] using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].", - "EncryptedObject":"RowBox[{\"EncryptedObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents encrypted data generated by Encrypt.", - "EncryptFile":"RowBox[{\"EncryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"file\", \"TI\"]}], \"]\"}] generates an encrypted version of a file, using the specified password.\nRowBox[{\"EncryptFile\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] generates an encrypted version of StyleBox[\"source\", \"TI\"], putting the result in StyleBox[\"target\", \"TI\"].\nRowBox[{\"EncryptFile\", \"[\", RowBox[{StyleBox[\"keyspec\", \"TI\"], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] encrypts using the cryptographic key specification StyleBox[\"keyspec\", \"TI\"].", - "End":"RowBox[{\"End\", \"[\", \"]\"}] returns the present context, and reverts to the previous one. ", - "EndAdd":"RowBox[{\"EndAdd\", \"[\", \" \", \"]\"}] returns the present context, and reverts to the previous one, prepending the present context to $ContextPath.", - "EndDialogPacket":"RowBox[{\"EndDialogPacket\", \"[\", StyleBox[\"integer\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet indicating the end of the Dialog subsession referenced by StyleBox[\"integer\", \"TI\"].", - "EndOfBuffer":"EndOfBuffer is a symbol that represents the end of currently available data in the buffer for a process or stream.", - "EndOfFile":"EndOfFile is a symbol returned by Read when it reaches the end of a file. ", - "EndOfLine":"EndOfLine represents the end of a line in a string for purposes of matching in StringExpression.", - "EndOfString":"EndOfString represents the end of a string for purposes of matching in StringExpression.", - "EndPackage":"RowBox[{\"EndPackage\", \"[\", \"]\"}] restores $Context and $ContextPath to their values before the preceding BeginPackage, and prepends the current context to the list $ContextPath. ", - "EngineeringForm":"RowBox[{\"EngineeringForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with all real numbers in StyleBox[\"expr\", \"TI\"] given in engineering notation. \nRowBox[{\"EngineeringForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with numbers given to StyleBox[\"n\", \"TI\"]‐digit precision. ", - "EnterExpressionPacket":"RowBox[{\"EnterExpressionPacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that requests the evaluation of StyleBox[\"expr\", \"TI\"].", - "EnterTextPacket":"RowBox[{\"EnterTextPacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that requests the parsing and evaluation of StyleBox[\"string\", \"TI\"] as an expression.", - "Entity":"RowBox[{\"Entity\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] represents an entity of specified type identified by StyleBox[\"name\", \"TI\"].", - "EntityClass":"RowBox[{\"EntityClass\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] represents a class of entities of the specified type identified by StyleBox[\"name\", \"TI\"].\nRowBox[{\"EntityClass\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"property\", \"TI\"], \"2\"], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], \"2\"]}], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents an implicitly defined entity class object whose members have values SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"i\", \"TI\"]] for properties SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "EntityClassList":"RowBox[{\"EntityClassList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of entity classes for the specified type of entity.", - "EntityCopies":"RowBox[{\"EntityCopies\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents StyleBox[\"n\", \"TI\"] copies of StyleBox[\"entity\", \"TI\"].", - "EntityGroup":"RowBox[{\"EntityGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] represents a group of entities.", - "EntityInstance":"RowBox[{\"EntityInstance\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", RowBox[{StyleBox[\"qual\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] represents an entity whose qualifier StyleBox[\"qual\", \"TI\"] has value StyleBox[\"val\", \"TI\"].\nRowBox[{\"EntityInstance\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}]}], \"]\"}] represents an entity whose qualifiers SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"i\", \"TI\"]] have values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EntityInstance\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] represents an entity qualified by StyleBox[\"quantity\", \"TI\"].", - "EntityList":"RowBox[{\"EntityList\", \"[\", StyleBox[\"class\", \"TI\"], \"]\"}] gives a list of entities in the specified entity class. \nRowBox[{\"EntityList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of entities of the specified type.", - "EntityPrefetch":"RowBox[{\"EntityPrefetch\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] fetches cacheable values associated with all entities of the specified type.\nRowBox[{\"EntityPrefetch\", \"[\", RowBox[{\"EntityProperty\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}], \"]\"}] fetches all values for the specified property.", - "EntityProperties":"RowBox[{\"EntityProperties\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] lists properties associated with entity type StyleBox[\"type\", \"TI\"].", - "EntityProperty":"RowBox[{\"EntityProperty\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"pname\", \"TI\"]}], \"]\"}] represents a property identified by StyleBox[\"pname\", \"TI\"] for use in EntityValue.\nRowBox[{\"EntityProperty\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"pname\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a property modified by the qualifier rules RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", - "EntityPropertyClass":"RowBox[{\"EntityPropertyClass\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"pcname\", \"TI\"]}], \"]\"}] represents a class of properties identified by the name StyleBox[\"pcname\", \"TI\"].", - "EntityRegister":"RowBox[{\"EntityRegister\", \"[\", StyleBox[\"estore\", \"TI\"], \"]\"}] registers the entities in the entity store StyleBox[\"estore\", \"TI\"].", - "EntityStore":"RowBox[{\"EntityStore\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an empty entity store for entities of type \"StyleBox[\"type\", \"TI\"]\".\nRowBox[{\"EntityStore\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents an entity store for entities of type \"StyleBox[\"type\", \"TI\"]\" with properties and values defined by StyleBox[\"data\", \"TI\"].\nRowBox[{\"EntityStore\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tspec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tspec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"]\"}] represents an entity store for entities of multiple types.", - "EntityStores":"RowBox[{\"EntityStores\", \"[\", \"]\"}] gives a list of all entity stores that are accessed when Entity is used.", - "EntityTypeName":"RowBox[{\"EntityTypeName\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the name of the entity type of StyleBox[\"entity\", \"TI\"].\nRowBox[{\"EntityTypeName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the name of the entity type for SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"n\", \"TI\"]].", - "EntityUnregister":"RowBox[{\"EntityUnregister\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] unregisters all entities in the first entity store that defines entities of the specified type.\nRowBox[{\"EntityUnregister\", \"[\", StyleBox[\"store\", \"TI\"], \"]\"}] unregisters all entities in the specified entity store.", - "EntityValue":"RowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the given entity.\nRowBox[{\"EntityValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"property\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the values of multiple properties for multiple entities.\nRowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified annotation associated with the property.", - "Entropy":"RowBox[{\"Entropy\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the base information entropy of the values in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Entropy\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the base StyleBox[\"k\", \"TI\"] information entropy.", - "EntropyFilter":"RowBox[{\"EntropyFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the entropy value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"EntropyFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "Environment":"RowBox[{\"Environment\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the value of an operating system environment variable. ", - "Epilog":"Epilog is an option for graphics functions that gives a list of graphics primitives to be rendered after the main part of the graphics is rendered. ", - "EpilogFunction":"EpilogFunction is an option for DocumentGenerator allowing arbitrary code to be executed after a document is generated.", - "Equal":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}] returns True if StyleBox[\"lhs\", \"TI\"] and StyleBox[\"rhs\", \"TI\"] are identical. ", - "EqualColumns":"EqualColumns is an option to GridBox which specifies whether the size of the columns are all set to the size of the largest column. The default value of EqualColumns is False.", - "EqualRows":"EqualRows is an option to GridBox which specifies whether the size of the rows are all set to the size of the largest row. The default value of EqualRows is False.", - "EqualTilde":"RowBox[{\"EqualTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≂\", \"y\", \"≂\", \"…\"}].", - "EqualTo":"RowBox[{\"EqualTo\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \"==\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"]. ", - "EquatedTo":"EquatedTo is an option for Roots, which specifies an expression to use in place of the variable in the solution.", - "Equilibrium":"RowBox[{\"Equilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇌\", \"y\", \"⇌\", \"…\"}].", - "EquirippleFilterKernel":"RowBox[{\"EquirippleFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a finite impulse response (FIR) filter kernel of length StyleBox[\"n\", \"TI\"] with an equiripple amplitude response, given the specified left and right band edge frequencies RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"Li\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"Ri\", \"TI\"]]}], \"}\"}] and amplitudes SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EquirippleFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses relative weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]] for each frequency band.\nRowBox[{RowBox[{\"EquirippleFilterKernel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"L\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[StyleBox[RowBox[{\"R\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}]}]}], \"]\"}] creates a filter of the specified \"\nStyleBox[\"type\", \"TI\"]\".", - "Equivalent":"RowBox[{\"Equivalent\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the logical equivalence RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"⇔\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"⇔\", StyleBox[\"…\", \"TR\"]}], giving True when all of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the same.", - "Erf":"RowBox[{\"Erf\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the error function RowBox[{\"erf\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"Erf\", \"[\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] gives the generalized error function RowBox[{RowBox[{\"erf\", \"(\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"1\"], \")\"}], \"-\", RowBox[{\"erf\", \"(\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"0\"], \")\"}]}]. ", - "Erfc":"RowBox[{\"Erfc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the complementary error function RowBox[{\"erfc\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "Erfi":"RowBox[{\"Erfi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the imaginary error function RowBox[{RowBox[{\"erf\", \"(\", RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", StyleBox[\"i\", \"TI\"]}]. ", - "ErlangB":"RowBox[{\"ErlangB\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] computes the Erlang B loss probability for an M\/M\/c\/c queue.", - "ErlangC":"RowBox[{\"ErlangC\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] computes the Erlang C probability for nonzero waiting time in an M\/M\/c queue.", - "ErlangDistribution":"RowBox[{\"ErlangDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents the Erlang distribution with shape parameter StyleBox[\"k\", \"TI\"] and rate StyleBox[\"λ\", \"TR\"].", - "Erosion":"RowBox[{\"Erosion\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological erosion of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Erosion\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the erosion with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Erosion\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies erosion to an array of data.", - "ErrorBox":"RowBox[{ErrorBox, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level box construct that represents boxes that cannot be interpreted in input or output. ", - "EscapeRadius":"EscapeRadius is an option to MandelbrotSetPlot that specifies the criterion to use to decide that a point is not in the Mandelbrot set.", - "EstimatedBackground":"RowBox[{\"EstimatedBackground\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] estimates the background of StyleBox[\"data\", \"TI\"].\nRowBox[{\"EstimatedBackground\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] tries to preserve peaks up to scale StyleBox[\"σ\", \"TR\"].", - "EstimatedDistribution":"RowBox[{\"EstimatedDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] estimates the parametric distribution StyleBox[\"dist\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"EstimatedDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] estimates the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], ….\nRowBox[{\"EstimatedDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"idist\", \"TI\"]}], \"]\"}] estimates distribution StyleBox[\"dist\", \"TI\"] with starting values taken from the instantiated distribution StyleBox[\"idist\", \"TI\"].", - "EstimatedProcess":"RowBox[{\"EstimatedProcess\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"]}], \"]\"}] estimates the parametric process StyleBox[\"proc\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"EstimatedProcess\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] estimates the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], ….\nRowBox[{\"EstimatedProcess\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"iproc\", \"TI\"]}], \"]\"}] estimates process StyleBox[\"proc\", \"TI\"] with starting values taken from the instantiated process StyleBox[\"iproc\", \"TI\"].", - "EstimatorGains":"RowBox[{\"EstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the estimator gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"], such that the poles of the estimator are SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies the measured outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] to use.", - "EstimatorRegulator":"RowBox[{\"EstimatorRegulator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] constructs the feedback regulator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] with estimator and feedback gain matrices StyleBox[\"l\", \"TI\"] and StyleBox[\"κ\", FontFamily -> \"Times\"], respectively.\nRowBox[{\"EstimatorRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] uses only StyleBox[\"sensors\", \"TI\"] as the measured outputs of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"EstimatorRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] specifies StyleBox[\"finputs\", \"TI\"] as the feedback inputs of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"EstimatorRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"], \",\", StyleBox[\"einputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"κ\", FontFamily -> \"Times\"]}], \"}\"}]}], \"]\"}] specifies StyleBox[\"einputs\", \"TI\"] as the exogenous deterministic inputs.", - "EuclideanDistance":"RowBox[{\"EuclideanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Euclidean distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "EulerAngles":"RowBox[{\"EulerAngles\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives Euler angles RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}] corresponding to the rotation matrix StyleBox[\"r\", \"TI\"].\nRowBox[{\"EulerAngles\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives Euler angles RowBox[{\"{\", RowBox[{\"α\", \",\", \"β\", \",\", \"γ\"}], \"}\"}] with rotation order RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]. ", - "EulerE":"RowBox[{\"EulerE\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Euler number SubscriptBox[StyleBox[\"E\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"EulerE\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Euler polynomial RowBox[{SubscriptBox[StyleBox[\"E\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "EulerGamma":"EulerGamma is Euler’s constant StyleBox[\"γ\", \"TR\"], with numerical value RowBox[{\"≃\", \"0.577216\"}]. ", - "EulerianGraphQ":"RowBox[{\"EulerianGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is Eulerian, and False otherwise.", - "EulerMatrix":"RowBox[{\"EulerMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \"]\"}] gives the Euler 3D rotation matrix formed by rotating by StyleBox[\"α\", \"TR\"] around the current z axis, then by StyleBox[\"β\", \"TR\"] around the current y axis, and then by StyleBox[\"γ\", \"TR\"] around the current z axis. \nRowBox[{\"EulerMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the Euler 3D rotation matrix corresponding, first rotating by StyleBox[\"α\", \"TR\"] around the current StyleBox[\"a\", \"TI\"] axis, then by StyleBox[\"β\", \"TR\"] around the current StyleBox[\"b\", \"TI\"] axis, and finally by StyleBox[\"γ\", \"TR\"] around the current StyleBox[\"c\", \"TI\"] axis.", - "EulerPhi":"RowBox[{\"EulerPhi\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Euler totient function RowBox[{\"ϕ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}]. ", - "Evaluatable":"Evaluatable is an option for Cell that specifies whether a cell should be used as input to be evaluated by the StyleBox[\"Wolfram Language\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] kernel. ", - "Evaluate":"RowBox[{\"Evaluate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] causes StyleBox[\"expr\", \"TI\"] to be evaluated even if it appears as the argument of a function whose attributes specify that it should be held unevaluated. ", - "EvaluatePacket":"RowBox[{\"EvaluatePacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet requesting evaluation of StyleBox[\"expr\", \"TI\"].", - "EvaluateScheduledTask":"RowBox[{\"EvaluateScheduledTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] triggers immediate local execution of the specified task object.", - "EvaluationBox":"RowBox[{EvaluationBox, \"[\", \"]\"}] returns a BoxObject corresponding to the box structure in which this function is being evaluated.", - "EvaluationCell":"RowBox[{\"EvaluationCell\", \"[\", \"]\"}] returns a CellObject corresponding to the cell in which this function is being evaluated.", - "EvaluationCompletionAction":"EvaluationCompletionAction is an option for notebooks that specifies the action taken when an evaluation is completed.", - "EvaluationData":"RowBox[{\"EvaluationData\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an association containing the result of evaluating StyleBox[\"expr\", \"TI\"] and metadata about the process of doing so.", - "EvaluationElements":"EvaluationElements is an option for NotebookEvaluate that determines which cells to evaluate.", - "EvaluationEnvironment":"EvaluationEnvironment is an option for functions such as InitializationValue and InitializationObjects that specifies the environment in which an initialization is intended to be used.", - "EvaluationMonitor":"EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are evaluated numerically. ", - "EvaluationNotebook":"RowBox[{\"EvaluationNotebook\", \"[\", \"]\"}] gives the notebook in which this function is being evaluated. ", - "EvaluationObject":"RowBox[{\"EvaluationObject\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an expression submitted for evaluation on any available parallel kernel.", - "Evaluator":"Evaluator is an option for objects such as Button, Dynamic, and Cell that gives the name of the kernel to use to evaluate their contents. ", - "EvaluatorNames":"EvaluatorNames is a global option that specifies the kernels that are currently configured to perform evaluations.", - "EvenQ":"RowBox[{\"EvenQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is an even integer, and False otherwise. ", - "EventData":"RowBox[{\"EventData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents event data with explicitly specified censoring SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EventData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ci\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ci\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents event data SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with censoring indicators SubscriptBox[StyleBox[\"ci\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EventData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents event data SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with censoring counts SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"EventData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"cspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents event data with censoring and truncation SubscriptBox[StyleBox[\"tr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "EventHandler":"RowBox[{\"EventHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"action\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"action\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] displays as StyleBox[\"expr\", \"TI\"], evaluating SubscriptBox[StyleBox[\"action\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever \"SubscriptBox[\nStyleBox[\"event\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs in connection with StyleBox[\"expr\", \"TI\"]. ", - "EventLabels":"EventLabels is an option to CandlestickChart, KagiChart, and similar functions that specifies events to labels.", - "EventSeries":"RowBox[{\"EventSeries\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \"]\"}] represents a series of events given as time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"EventSeries\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents a series of events with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].", - "ExactBlackmanWindow":"RowBox[{\"ExactBlackmanWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents an exact Blackman window function of StyleBox[\"x\", \"TI\"].", - "ExactNumberQ":"RowBox[{\"ExactNumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is an exact real or complex number, and returns False otherwise.", - "ExactRootIsolation":"ExactRootIsolation is an option for Root, which specifies whether exact isolating intervals rather then numeric approximations should be used to identify algebraic numbers.", - "ExampleData":"RowBox[{\"ExampleData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of names of examples of the specified type.\nRowBox[{\"ExampleData\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] gives the default form of the named example of the specified type.\nRowBox[{\"ExampleData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified element or property of an example.", - "Except":"RowBox[{\"Except\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] is a pattern object which represents any expression except one that matches StyleBox[\"c\", \"TI\"]. \nRowBox[{\"Except\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents any expression that matches StyleBox[\"p\", \"TI\"] but not StyleBox[\"c\", \"TI\"]. ", - "ExcludedForms":"ExcludedForms is an option that gives a list of patterns for expressions that should be excluded from an operation performed by a particular function. ", - "ExcludedLines":"ExcludedLines is an option for SemanticImport and related functions that specifies which lines should be ignored for further processing.", - "ExcludedPhysicalQuantities":"ExcludedPhysicalQuantities is an option for FormulaLookup that specifies physical quantities that should be not used by the formulas returned.", - "ExcludePods":"ExcludePods is an option to WolframAlpha that specifies pod IDs to exclude from the results.", - "Exclusions":"Exclusions is an option that specifies where to exclude in regions used by functions like Plot, Plot3D, and NIntegrate.", - "ExclusionsStyle":"ExclusionsStyle is an option to plotting functions that specifies how to render subregions excluded according to Exclusions. ", - "Exists":"RowBox[{\"Exists\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents the statement that there exists a value of StyleBox[\"x\", \"TI\"] for which StyleBox[\"expr\", \"TI\"] is True. \nRowBox[{\"Exists\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that there exists an StyleBox[\"x\", \"TI\"] satisfying the condition StyleBox[\"cond\", \"TI\"] for which StyleBox[\"expr\", \"TI\"] is True. \nRowBox[{\"Exists\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that there exist values for all the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which StyleBox[\"expr\", \"TI\"] is True. ", - "Exit":"RowBox[{\"Exit\", \"[\", \"]\"}] terminates a StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel session. ", - "ExoplanetData":"RowBox[{\"ExoplanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the exoplanet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ExoplanetData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified exoplanet entities.\nRowBox[{\"ExoplanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Exp":"RowBox[{\"Exp\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the exponential of StyleBox[\"z\", \"TI\"]. ", - "Expand":"RowBox[{\"Expand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out products and positive integer powers in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Expand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] leaves unexpanded any parts of StyleBox[\"expr\", \"TI\"] that are free of the pattern StyleBox[\"patt\", \"TI\"].", - "ExpandAll":"RowBox[{\"ExpandAll\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out all products and integer powers in any part of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"ExpandAll\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] avoids expanding parts of StyleBox[\"expr\", \"TI\"] that do not contain terms matching the pattern StyleBox[\"patt\", \"TI\"]. ", - "ExpandDenominator":"RowBox[{\"ExpandDenominator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out products and powers that appear as denominators in StyleBox[\"expr\", \"TI\"]. ", - "ExpandFileName":"RowBox[{\"ExpandFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] textually expands StyleBox[\"name\", \"TI\"] to have the form of an absolute file name for your operating system.", - "ExpandNumerator":"RowBox[{\"ExpandNumerator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out products and powers that appear in the numerator of StyleBox[\"expr\", \"TI\"]. ", - "Expectation":"RowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"data\", \"TI\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution given by StyleBox[\"data\", \"TI\"].\nRowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"Expectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the expectation of StyleBox[\"expr\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Expectation\", \"[\", RowBox[{RowBox[{StyleBox[\"expr\", \"TI\"], \"\", StyleBox[\"pred\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the conditional expectation of StyleBox[\"expr\", \"TI\"] given StyleBox[\"pred\", \"TI\"].", - "ExpectedValue":"RowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the expected value of the pure function StyleBox[\"f\", \"TI\"] with respect to the values in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the expected value of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"x\", \"TI\"] with respect to the values of StyleBox[\"list\", \"TI\"].\nRowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] gives the expected value of the pure function StyleBox[\"f\", \"TI\"] with respect to the symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"ExpectedValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the expected value of the function StyleBox[\"f\", \"TI\"] of StyleBox[\"x\", \"TI\"] with respect to the symbolic distribution StyleBox[\"dist\", \"TI\"].", - "ExpGammaDistribution":"RowBox[{\"ExpGammaDistribution\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents an exp-gamma distribution with shape parameter StyleBox[\"κ\", \"TR\"], scale parameter StyleBox[\"θ\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", - "ExpIntegralE":"RowBox[{\"ExpIntegralE\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the exponential integral function RowBox[{SubscriptBox[\"E\", \"n\"], \"(\", \"z\", \")\"}].", - "ExpIntegralEi":"RowBox[{\"ExpIntegralEi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the exponential integral function RowBox[{\"Ei\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "ExpirationDate":"ExpirationDate is an option for various functions that specifies when a persistent value should be treated as expired.", - "Exponent":"RowBox[{\"Exponent\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the maximum power with which StyleBox[\"form\", \"TI\"] appears in the expanded form of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Exponent\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] applies StyleBox[\"h\", \"TI\"] to the set of exponents with which StyleBox[\"form\", \"TI\"] appears in StyleBox[\"expr\", \"TI\"]. ", - "ExponentFunction":"ExponentFunction is an option for NumberForm and related functions that determines the exponent to use in printing approximate real numbers. ", - "ExponentialDistribution":"RowBox[{\"ExponentialDistribution\", \"[\", StyleBox[\"λ\", \"TR\"], \"]\"}] represents an exponential distribution with scale inversely proportional to parameter StyleBox[\"λ\", \"TR\"].", - "ExponentialFamily":"ExponentialFamily is an option for GeneralizedLinearModelFit that specifies the exponential family for the model.", - "ExponentialGeneratingFunction":"RowBox[{\"ExponentialGeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the exponential generating function in StyleBox[\"x\", \"TI\"] for the sequence whose StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term is given by the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"ExponentialGeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] gives the multidimensional exponential generating function in SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … whose SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … term is given by StyleBox[\"expr\", \"TI\"].", - "ExponentialMovingAverage":"RowBox[{\"ExponentialMovingAverage\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives the exponential moving average of StyleBox[\"list\", \"TI\"] with smoothing constant StyleBox[\"α\", \"TR\"].", - "ExponentialPowerDistribution":"RowBox[{\"ExponentialPowerDistribution\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents an exponential power distribution with shape parameter StyleBox[\"κ\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"ExponentialPowerDistribution\", \"[\", StyleBox[\"κ\", \"TR\"], \"]\"}] represents an exponential power distribution with location parameter 0 and scale parameter 1.", - "ExponentPosition":"ExponentPosition is an option for RadicalBox that specifies the placement of the index outside a radical sign.", - "ExponentStep":"ExponentStep is an option for NumberForm and related functions that determines in what steps exponents are taken to increase when scientific notation is used.", - "Export":"RowBox[{\"Export\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).\\!\\(\\*StyleBox[\\\"ext\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] exports data to a file, converting it to the format corresponding to the file extension StyleBox[\"ext\", \"TI\"]. \nRowBox[{\"Export\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] exports data in the specified format.\nRowBox[{\"Export\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"exprs\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] exports data by treating StyleBox[\"exprs\", \"TI\"] as elements specified by StyleBox[\"elems\", \"TI\"].", - "ExportAutoReplacements":"ExportAutoReplacements is an option for cells that specifies which replacement rules StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] automatically applies when exporting text.", - "ExportByteArray":"RowBox[{\"ExportByteArray\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a ByteArray object corresponding to StyleBox[\"expr\", \"TI\"] exported in the specified format. \nRowBox[{\"ExportByteArray\", \"[\", RowBox[{StyleBox[\"exprs\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] generates a ByteArray object by treating StyleBox[\"exprs\", \"TI\"] as elements specified by StyleBox[\"elems\", \"TI\"].", - "ExportForm":"RowBox[{\"ExportForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] specifies that StyleBox[\"expr\", \"TI\"] should be exported in the specified format in functions like CloudDeploy and in external results from APIFunction and FormFunction.\nRowBox[{\"ExportForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] specifies that when StyleBox[\"expr\", \"TI\"] is exported, it should be tagged as having the specified MIME type.", - "ExportString":"RowBox[{\"ExportString\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a string corresponding to StyleBox[\"expr\", \"TI\"] exported in the specified format. \nRowBox[{\"ExportString\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"Rules\\\"\",ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] gives explicit rules for different elements of the data to be exported. \nRowBox[{\"ExportString\", \"[\", RowBox[{StyleBox[\"exprs\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] generates a string by treating StyleBox[\"exprs\", \"TI\"] as elements specified by StyleBox[\"elems\", \"TI\"].", - "Expression":"Expression is a symbol that represents an ordinary StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression in Read and related functions. ", - "ExpressionCell":"RowBox[{\"ExpressionCell\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an expression cell that can appear in a StyleBox[\"Wolfram System\", \"RebrandingTerm\"] notebook.\nRowBox[{\"ExpressionCell\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an expression cell with the specified style.\nRowBox[{\"ExpressionCell\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an expression cell with multiple styles applied to it.", - "ExpToTrig":"RowBox[{\"ExpToTrig\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts exponentials in StyleBox[\"expr\", \"TI\"] to trigonometric functions. ", - "ExtendedGCD":"RowBox[{\"ExtendedGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the extended greatest common divisor of the integers SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Extension":"Extension is an option for various polynomial and algebraic functions that specifies generators for the algebraic number field to be used. ", - "ExtentElementFunction":"ExtentElementFunction is an option to DiscretePlot and DiscretePlot3D that gives a function to use to generate the primitives for rendering each extent element. ", - "ExtentMarkers":"ExtentMarkers is an option to DiscretePlot and DiscretePlot3D that specifies markers to draw at extent boundaries. ", - "ExtentSize":"ExtentSize is an option to DiscretePlot and DiscretePlot3D that specifies how far to extend out from each plot point. ", - "ExternalBundle":"RowBox[{\"ExternalBundle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[SubscriptBox[StyleBox[\"obj\", \"TI\"], \"1\"], \"TI\"]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a bundle of resources to be externally deployed as named URLs, functions, etc. \nRowBox[{\"ExternalBundle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"11\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a nested bundle of resources.", - "ExternalDataCharacterEncoding":"ExternalDataCharacterEncoding is a global option that specifies the character encoding used in reading and writing plain text data outside of StyleBox[\"the Wolfram System\", \"RebrandingTerm\"].", - "ExternalEvaluate":"RowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] evaluates the command StyleBox[\"cmd\", \"TI\"] in the external evaluator StyleBox[\"sys\", \"TI\"], returning an expression corresponding to the output.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"opts\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the options StyleBox[\"opts\", \"TI\"] for the external evaluator.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] evaluates StyleBox[\"cmd\", \"TI\"] using the external evaluator specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"session\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] evaluates StyleBox[\"cmd\", \"TI\"] in the specified running ExternalSessionObject.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{RowBox[{StyleBox[\"sys\", \"TI\"], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \",\", \"…\"}], \"]\"}] returns output converted to the specified type. \nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] evaluates the content of the specified File, URL or CloudObject.\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] evaluates the command specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"ExternalEvaluate\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cmd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cmd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] evaluates the list of commands SubscriptBox[StyleBox[\"cmd\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ExternalEvaluate\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an operator form of ExternalEvaluate that can be applied to a command or object.", - "ExternalObject":"RowBox[{\"ExternalObject\", \"[\", \"…\", \"]\"}] represents an external object inside an ExternalSessionObject.", - "ExternalOptions":"ExternalOptions is an option for EmbedCode and related functions that gives options specific to the external environment or language used.", - "ExternalSessionObject":"RowBox[{\"ExternalSessionObject\", \"[\", \"…\", \"]\"}] represents an external session started by StartExternalSession for use with ExternalEvaluate.", - "ExternalSessions":"RowBox[{\"ExternalSessions\", \"[\", \"]\"}] gives the list of currently active external evaluator sessions.\nRowBox[{\"ExternalSessions\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the list of sessions associated with the system StyleBox[\"sys\", \"TI\"].", - "ExternalTypeSignature":"ExternalTypeSignature is an option for EmbedCode that gives rules specifying the mapping to external types in an embedded code.", - "Extract":"RowBox[{\"Extract\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] extracts the part of StyleBox[\"expr\", \"TI\"] at the position specified by StyleBox[\"pos\", \"TI\"]. \nRowBox[{\"Extract\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts a list of parts of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Extract\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] extracts parts of StyleBox[\"expr\", \"TI\"], wrapping each of them with head StyleBox[\"h\", \"TI\"] before evaluation. \nRowBox[{\"Extract\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents an operator form of Extract that can be applied to an expression.", - "ExtractArchive":"RowBox[{\"ExtractArchive\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] expands an archive StyleBox[\"file\", \"TI\"], saving its content into the current directory.\nRowBox[{\"ExtractArchive\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] saves the content of an archive StyleBox[\"file\", \"TI\"] into directory StyleBox[\"dir\", \"TI\"].\nRowBox[{\"ExtractArchive\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] extracts only files whose names match StyleBox[\"pattern\", \"TI\"].", - "ExtremeValueDistribution":"RowBox[{\"ExtremeValueDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents an extreme value distribution with location parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"ExtremeValueDistribution\", \"[\", \"]\"}] represents an extreme value distribution with location parameter 0 and scale parameter 1.", - "FaceForm":"RowBox[{\"FaceForm\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] is a graphics directive which specifies that faces of polygons and other filled graphics objects are to be drawn using the graphics directive or list of directives StyleBox[\"g\", \"TI\"]. \nRowBox[{\"FaceForm\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"gback\", \"TI\"]}], \"]\"}] specifies that the front faces of three-dimensional polygons should be drawn with directives StyleBox[\"g\", \"TI\"], and the backs with directives StyleBox[\"gback\", \"TI\"]. ", - "FaceGrids":"FaceGrids is an option for three-dimensional graphics functions that specifies grid lines to draw on the faces of the bounding box. ", - "FaceGridsStyle":"FaceGridsStyle is an option for 3D graphics functions that specifies how face grids should be rendered.", - "FacialFeatures":"RowBox[{\"FacialFeatures\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns a minimal summary of facial features for all detected faces in StyleBox[\"image\", \"TI\"].\nRowBox[{\"FacialFeatures\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"features\", \"TI\"]}], \"]\"}] returns the specified facial StyleBox[\"features\", \"TI\"].", - "Factor":"RowBox[{\"Factor\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] factors a polynomial over the integers. \nRowBox[{\"Factor\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] factors a polynomial modulo a prime StyleBox[\"p\", \"TI\"]. \nRowBox[{\"Factor\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Extension\", \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] factors a polynomial allowing coefficients that are rational combinations of the algebraic numbers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Factorial":"RowBox[{StyleBox[\"n\", \"TI\"], \"!\"}] gives the factorial of StyleBox[\"n\", \"TI\"]. ", - "Factorial2":"RowBox[{StyleBox[\"n\", \"TI\"], \"!!\"}] gives the double factorial of StyleBox[\"n\", \"TI\"]. ", - "FactorialMoment":"RowBox[{\"FactorialMoment\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] moment of the elements in the StyleBox[\"list\", \"TI\"].\nRowBox[{\"FactorialMoment\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] moment of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"FactorialMoment\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] factorial moment. ", - "FactorialMomentGeneratingFunction":"RowBox[{\"FactorialMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the factorial moment-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"FactorialMomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the factorial moment-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", - "FactorialPower":"RowBox[{\"FactorialPower\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the factorial power SuperscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]]. \nRowBox[{\"FactorialPower\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] gives the step-StyleBox[\"h\", \"TI\"] factorial power SuperscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{\"(\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", \" \", StyleBox[\"h\", \"TI\"]}], \")\"}]].", - "FactorInteger":"RowBox[{\"FactorInteger\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the prime factors of the integer StyleBox[\"n\", \"TI\"], together with their exponents. \nRowBox[{\"FactorInteger\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] does partial factorization, pulling out at most StyleBox[\"k\", \"TI\"] distinct factors.", - "FactorList":"RowBox[{\"FactorList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list of the factors of a polynomial, together with their exponents. ", - "FactorSquareFree":"RowBox[{\"FactorSquareFree\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] pulls out any multiple factors in a polynomial. ", - "FactorSquareFreeList":"RowBox[{\"FactorSquareFreeList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list of square‐free factors of a polynomial, together with their exponents. ", - "FactorTerms":"RowBox[{\"FactorTerms\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] pulls out any overall numerical factor in StyleBox[\"poly\", \"TI\"]. \nRowBox[{\"FactorTerms\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pulls out any overall factor in StyleBox[\"poly\", \"TI\"] that does not depend on StyleBox[\"x\", \"TI\"]. \nRowBox[{\"FactorTerms\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pulls out any overall factor in StyleBox[\"poly\", \"TI\"] that does not depend on any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "FactorTermsList":"RowBox[{\"FactorTermsList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list in which the first element is the overall numerical factor in StyleBox[\"poly\", \"TI\"], and the second element is the polynomial with the overall factor removed.\nRowBox[{\"FactorTermsList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of factors of StyleBox[\"poly\", \"TI\"]. The first element in the list is the overall numerical factor. The second element is a factor that does not depend on any of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. Subsequent elements are factors which depend on progressively more of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Failure":"RowBox[{\"Failure\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] represents a failure of a type indicated by StyleBox[\"tag\", \"TI\"], with details given by the association StyleBox[\"assoc\", \"TI\"].", - "FailureAction":"FailureAction is an option to Query and related functions that determines what should happen when a failure or message is generated.", - "FailureDistribution":"RowBox[{\"FailureDistribution\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the failure distribution for a system with events SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] having reliability distribution SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]] where the top event occurs when the Boolean expression StyleBox[\"bexpr\", \"TI\"] is True and event SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] has occurred when SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is True.", - "FailureQ":"RowBox[{\"FailureQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] has head Failure or is equal to $Failed or $Aborted.", - "False":"False is the symbol for the Boolean value false. ", - "FareySequence":"RowBox[{\"FareySequence\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] generates the Farey sequence of order StyleBox[\"n\", \"TI\"].\nRowBox[{\"FareySequence\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] element of the Farey sequence of order StyleBox[\"n\", \"TI\"].", - "FARIMAProcess":"RowBox[{\"FARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents an autoregressive fractionally integrated moving-average process RowBox[{StyleBox[\"y\", \"TI\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}] such that its StyleBox[\"d\", \"TI\"]SuperscriptBox[\"\", \"th\"] difference is an RowBox[{RowBox[{\"ARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]], \",\", StyleBox[\"v\", \"TI\"]}]}]}]}], \"]\"}].\nRowBox[{\"FARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector autoregressive fractionally integrated moving-average process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector ARMAProcess.\nRowBox[{\"FARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector autoregressive fractionally integrated moving-average process RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}], \",\", StyleBox[\"…\", \"TR\"], \" \", \",\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]], RowBox[{\"(\", StyleBox[\"t\", \"TI\"], \")\"}]}]}], \")\"}] such that its RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \")\"}]SuperscriptBox[\"\", \"th\"] difference is a vector ARMAProcess.", - "FeatureDistance":"RowBox[{\"FeatureDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"extractor\", \"TI\"]}], \"]\"}] gives the distance between SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]] in the feature space defined by StyleBox[\"extractor\", \"TI\"].\nRowBox[{\"FeatureDistance\", \"[\", StyleBox[\"extractor\", \"TI\"], \"]\"}] represents an operator form of FeatureDistance that can be applied to a pair of examples.", - "FeatureExtract":"RowBox[{\"FeatureExtract\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] extracts features for each of the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] using a feature extractor trained on all the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"extractor\", \"TI\"]}], \"]\"}] extracts features using the specified feature extractor method.\nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts features by applying the SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence.\nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{StyleBox[\"spec\", \"TI\"], \"\", StyleBox[\"ext\", \"TI\"]}]}], \"]\"}] uses the extractor methods specified by StyleBox[\"ext\", \"TI\"] on parts of StyleBox[\"examples\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"FeatureExtract\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses the extractor methods SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"i\", \"TI\"]] on parts of StyleBox[\"examples\", \"TI\"] specified by the SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "FeatureExtraction":"RowBox[{\"FeatureExtraction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"FeatureExtractorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] trained from the examples given.\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"extractor\", \"TI\"]}], \"]\"}] uses the specified feature extractor method.\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies the SubscriptBox[StyleBox[\"extractor\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence to generate a feature extractor.\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{StyleBox[\"spec\", \"TI\"], \"\", StyleBox[\"ext\", \"TI\"]}]}], \"]\"}] uses the extractor methods specified by StyleBox[\"ext\", \"TI\"] on parts of StyleBox[\"examples\", \"TI\"] specified by StyleBox[\"spec\", \"TI\"]. \nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses the extractor methods SubscriptBox[StyleBox[\"ext\", \"TI\"], StyleBox[\"i\", \"TI\"]] on parts of StyleBox[\"examples\", \"TI\"] specified by the SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FeatureExtraction\", \"[\", RowBox[{StyleBox[\"examples\", \"TI\"], \",\", StyleBox[\"extractor\", \"TI\"], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] gives the feature extraction properties specified by StyleBox[\"props\", \"TI\"].", - "FeatureExtractor":"FeatureExtractor is an option for functions such as Classify that specifies how features should be extracted.", - "FeatureExtractorFunction":"RowBox[{\"FeatureExtractorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a feature extractor function generated by FeatureExtraction.", - "FeatureNames":"FeatureNames is an option for machine learning functions such as Classify or Predict that specifies names to use for elements of input data given.", - "FeatureNearest":"RowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the list of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest in a computed feature space.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the same result.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"prop\", \"TI\"]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] for the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest.\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] effectively gives RowBox[{\"{\", RowBox[{RowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"FeatureNearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] nearest SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"x\", \"TI\"].\nRowBox[{\"FeatureNearest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] generates a RowBox[{\"NearestFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"x\", \"TI\"].", - "FeatureSpacePlot":"RowBox[{\"FeatureSpacePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots features extracted from the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] as a scatter plot.", - "FeatureSpacePlot3D":"RowBox[{\"FeatureSpacePlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots features extracted from the SubscriptBox[StyleBox[\"example\", \"TI\"], StyleBox[\"i\", \"TI\"]] as a scatter 3D plot.", - "FeatureTypes":"FeatureTypes is an option for machine learning functions such as Classify or Predict that specifies what feature types to assume for elements of input data given.", - "FeedbackLinearize":"RowBox[{\"FeedbackLinearize\", \"[\", StyleBox[\"asys\", \"TI\"], \"]\"}] input-output linearizes the AffineStateSpaceModel StyleBox[\"asys\", \"TI\"] by state transformation and feedback.\nRowBox[{\"FeedbackLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies the new states StyleBox[\"z\", \"TI\"] and the new control inputs StyleBox[\"v\", \"TI\"].\nRowBox[{\"FeedbackLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\".", - "FeedbackSector":"FeedbackSector is an option to NyquistPlot that specifies the sector limits of the nonlinearity in the feedback. ", - "FeedbackSectorStyle":"FeedbackSectorStyle is an option to NyquistPlot that specifies the style in which graphics of FeedbackSector should be drawn.", - "FeedbackType":"FeedbackType is an option for some control system functions that specifies the feedback type.", - "FetalGrowthData":"RowBox[{\"FetalGrowthData\", \"[\", StyleBox[\"age\", \"TI\"], \"]\"}] returns the values for all properties of fetal development for the specified age of the fetus.\nRowBox[{\"FetalGrowthData\", \"[\", RowBox[{StyleBox[\"age\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value for a property of fetal development for the specified age.\nRowBox[{\"FetalGrowthData\", \"[\", RowBox[{StyleBox[\"age\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the values for all properties of fetal development at the specified age and percentile.\nRowBox[{\"FetalGrowthData\", \"[\", RowBox[{StyleBox[\"age\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the value for a property at the specified age and percentile.", - "Fibonacci":"RowBox[{\"Fibonacci\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Fibonacci number SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"Fibonacci\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Fibonacci polynomial RowBox[{SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "Fibonorial":"RowBox[{\"Fibonorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the fibonorial SubscriptBox[RowBox[{StyleBox[\"n\", \"TI\"], \"!\"}], StyleBox[\"F\", \"TI\"]].", - "FieldCompletionFunction":"FieldCompletionFunction is an option for InputField that specifies a function to apply to the input field's contents to generate a list of completions.", - "FieldHint":"FieldHint is an option for InputField that specifies contents to display when the input field is empty.", - "FieldHintStyle":"FieldHintStyle is an option for InputField that specifies the style to use for displaying the field hint.", - "FieldMasked":"FieldMasked is an option to InputField that determines whether to mask user input.", - "FieldSize":"FieldSize is an option for InputField, PopupMenu, and related functions that specifies the size of the field allowed for input or contents. ", - "File":"RowBox[{\"File\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"path\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a symbolic representation of a location in the local file system. ", - "FileBaseName":"RowBox[{\"FileBaseName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the base name for a file without its extension.", - "FileByteCount":"RowBox[{\"FileByteCount\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] gives the number of bytes in a file. ", - "FileDate":"RowBox[{\"FileDate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the date and time at which a file was last modified. \nRowBox[{\"FileDate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives information on the specified type of date associated with a file.", - "FileExistsQ":"RowBox[{\"FileExistsQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives True if the file with the specified name exists, and gives False otherwise.", - "FileExtension":"RowBox[{\"FileExtension\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the file extension for a file name.", - "FileFormat":"RowBox[{\"FileFormat\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine what Import format could be used to import the file corresponding to \"\nStyleBox[\"name\", \"TI\"]\". ", - "FileHash":"RowBox[{\"FileHash\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an integer hash code for the contents of the specified file.\nRowBox[{\"FileHash\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an integer hash of the specified type.\nRowBox[{\"FileHash\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] gives an integer hash code for the specified range of bytes.\nRowBox[{\"FileHash\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a hash code in the specified format.", - "FileNameDepth":"RowBox[{\"FileNameDepth\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the number of path elements in the file name \"\nStyleBox[\"file\", \"TI\"]\".", - "FileNameDialogSettings":"FileNameDialogSettings is a global option that specifies settings for the StyleBox[\"Insert File Path\", \"DialogElementName\"] dialog box.", - "FileNameDrop":"RowBox[{\"FileNameDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] drops the first StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] drops the last StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] drops elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameDrop\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] drops the last path element in the file name \"\nStyleBox[\"name\", \"TI\"]\".", - "FileNameForms":"FileNameForms is an option that specifies the pattern for file names to be selected by a function.", - "FileNameJoin":"RowBox[{\"FileNameJoin\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] joins the SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] together into a file name suitable for your current operating system. ", - "FileNames":"RowBox[{\"FileNames\", \"[\", \"]\"}] lists all files in the current working directory. \nRowBox[{\"FileNames\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] lists all files in the current working directory whose names match the string pattern StyleBox[\"form\", \"TI\"]. \nRowBox[{\"FileNames\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] lists all files whose names match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FileNames\", \"[\", RowBox[{StyleBox[\"forms\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] lists files with names matching StyleBox[\"forms\", \"TI\"] in any of the directories SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FileNames\", \"[\", RowBox[{StyleBox[\"forms\", \"TI\"], \",\", StyleBox[\"dirs\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes files that are in subdirectories up to StyleBox[\"n\", \"TI\"] levels down. ", - "FileNameSetter":"RowBox[{\"FileNameSetter\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] represents a file name setter which displays as a StyleBox[\"Browse\", \"MenuName\"] button and when clicked brings up a system file opening dialog, starting from the location corresponding to StyleBox[\"name\", \"TI\"]. \nRowBox[{\"FileNameSetter\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}], \"]\"}] uses the dynamically updated current value of StyleBox[\"name\", \"TI\"], with the value of StyleBox[\"name\", \"TI\"] being reset if a different file is chosen.\nRowBox[{\"FileNameSetter\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"Save\\\"\",ShowStringCharacters->True]}], \"]\"}] brings up a file saving dialog.\nRowBox[{\"FileNameSetter\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"spec\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] looks for files of types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]] with names matching the file patterns SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"ij\", \"TI\"]]. ", - "FileNameSplit":"RowBox[{\"FileNameSplit\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] splits a file name into a list of parts.", - "FileNameTake":"RowBox[{\"FileNameTake\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the last path element in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the last StyleBox[\"n\", \"TI\"] path elements in the file name \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FileNameTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in the file name \"\nStyleBox[\"name\", \"TI\"]\".", - "FilePrint":"RowBox[{\"FilePrint\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] prints out the raw textual contents of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints out the first StyleBox[\"n\", \"TI\"] raw textual lines of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] prints out the last StyleBox[\"n\", \"TI\"] raw textual lines of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] prints out lines StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] of StyleBox[\"file\", \"TI\"].\nRowBox[{\"FilePrint\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"], \";;\", StyleBox[\"s\", \"TI\"]}]}], \"]\"}] prints out lines StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] of StyleBox[\"file\", \"TI\"] in steps of StyleBox[\"s\", \"TI\"].", - "FileSize":"RowBox[{\"FileSize\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] gives the size of a file as a quantity.", - "FileSystemMap":"RowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"]}], \"]\"}] gives an association whose keys are the names of files in StyleBox[\"root\", \"TI\"], and whose values are the results of applying StyleBox[\"f\", \"TI\"] to the full names of these files. \nRowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a nested association in which subdirectories down to level StyleBox[\"n\", \"TI\"] are represented by an association.\nRowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a nested association including files in subdirectories from level StyleBox[\"m\", \"TI\"] down through StyleBox[\"n\", \"TI\"].\nRowBox[{\"FileSystemMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", StyleBox[\"lev\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] combines levels to give a nested output association with StyleBox[\"r\", \"TI\"] levels.", - "FileSystemScan":"RowBox[{\"FileSystemScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"f\", \"TI\"] on all files contained in StyleBox[\"root\", \"TI\"].\nRowBox[{\"FileSystemScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"root\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] restricts the operation to directories at level StyleBox[\"n\", \"TI\"].", - "FileTemplate":"RowBox[{\"FileTemplate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields a TemplateObject expression that represents a file template to be applied using functions like TemplateApply.\nRowBox[{\"FileTemplate\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] uses RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], RowBox[{\"URL\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], or RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] as the specification for the file location.\nRowBox[{\"FileTemplate\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", - "FileTemplateApply":"RowBox[{\"FileTemplateApply\", \"[\", StyleBox[\"template\", \"TI\"], \"]\"}] applies a template, evaluating all template elements it contains, and then writes the result to a temporary file, whose name is returned.\nRowBox[{\"FileTemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] applies a template, using StyleBox[\"args\", \"TI\"] to fill its slots, and then writes the result to a temporary file.\nRowBox[{\"FileTemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] applies a template, writing the results to the file represented by StyleBox[\"output\", \"TI\"].\nRowBox[{\"FileTemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] applies a template, using StyleBox[\"args\", \"TI\"] to fill its slots, and then writes the result to the file represented by StyleBox[\"output\", \"TI\"].", - "FileType":"RowBox[{\"FileType\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the type of a file, typically File, Directory, or None. ", - "FilledCurve":"RowBox[{\"FilledCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a filled curve consisting of SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]] followed by SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]] etc. \nRowBox[{\"FilledCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a list of separate filled component curves SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", - "FilledCurveBoxOptions":"RowBox[{FilledCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for FilledCurveBox objects.", - "Filling":"Filling is an option for ListPlot, Plot, Plot3D, and related functions that specifies what filling to add under points, curves, and surfaces. ", - "FillingStyle":"FillingStyle is an option for ListPlot, Plot, Plot3D, and related functions that specifies the default style of filling to be used. ", - "FillingTransform":"RowBox[{\"FillingTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a version of StyleBox[\"image\", \"TI\"] with all extended minima filled.\nRowBox[{\"FillingTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] fills extended minima in regions where at least one corresponding element of marker is nonzero.\nRowBox[{\"FillingTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] fills only extended minima of depth StyleBox[\"h\", \"TI\"] or less.", - "FilterRules":"RowBox[{\"FilterRules\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] filters the list StyleBox[\"rules\", \"TI\"] by picking out only those rules whose left-hand sides match StyleBox[\"patt\", \"TI\"].\nRowBox[{\"FilterRules\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] picks out rules whose left-hand sides match any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "FinancialBond":"RowBox[{\"FinancialBond\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"]}], \"]\"}] gives the value of a financial bond instrument.\nRowBox[{\"FinancialBond\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] computes the specified property StyleBox[\"prop\", \"TI\"].", - "FinancialData":"RowBox[{\"FinancialData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the last known price or value for the financial entity specified by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"start\", \"TI\"]}], \"]\"}] gives a list of dates and daily closing values for \"StyleBox[\"name\", \"TI\"]\" from StyleBox[\"start\", \"TI\"] until the current date.\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a list of dates and daily closing values for dates from StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"], \",\", StyleBox[\"period\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a list of dates and prices for the specified periods lying between StyleBox[\"start\", \"TI\"] and StyleBox[\"end\", \"TI\"].\nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the financial entity \"StyleBox[\"name\", \"TI\"]\". \nRowBox[{\"FinancialData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of dates and values of a property for a sequence of dates or periods. ", - "FinancialDerivative":"RowBox[{\"FinancialDerivative\", \"[\", RowBox[{StyleBox[\"instrument\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"]}], \"]\"}] gives the value of the specified financial instrument.\nRowBox[{\"FinancialDerivative\", \"[\", RowBox[{StyleBox[\"instrument\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"ambientparams\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] computes the specified property StyleBox[\"prop\", \"TI\"].", - "FinancialIndicator":"RowBox[{\"FinancialIndicator\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"ind\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a financial indicator \"\nStyleBox[\"ind\", \"TI\"]\" with parameters SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", - "Find":"RowBox[{\"Find\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] finds the first line in an input stream that contains the specified string. \nRowBox[{\"Find\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the first line that contains any of the specified strings. ", - "FindArgMax":"RowBox[{\"FindArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] of a local maximum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] of a local maximum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of a local maximum of a function of several variables. \nRowBox[{\"FindArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position of a local maximum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", - "FindArgMin":"RowBox[{\"FindArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] of a local minimum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] of a local minimum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of a local minimum of a function of several variables. \nRowBox[{\"FindArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the position of a local minimum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", - "FindChannels":"RowBox[{\"FindChannels\", \"[\", \"]\"}] gives a list of channels in your home area on the channel broker server.\nRowBox[{\"FindChannels\", \"[\", \"None\", \"]\"}] gives a list of your unnamed channels.\nRowBox[{\"FindChannels\", \"[\", \"All\", \"]\"}] gives a list of all channels owned by you.\nRowBox[{\"FindChannels\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives a list of channels in your home area whose names match the string pattern StyleBox[\"form\", \"TI\"].\nRowBox[{\"FindChannels\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"user, TI]:StyleBox[form\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of accessible channels in the home area of the specified user whose names match StyleBox[\"form\", \"TI\"].\nRowBox[{\"FindChannels\", \"[\", \"\/StyleBox[abspath, TI]\", \"]\"}] gives a list of channels whose names match the string pattern \"\/StyleBox[\"abspath\", \"TI\"]\".\nFindChannels[\"StyleBox[RowBox[{RowBox[{\"https\", \":\"}], \"\/\/\"}],AutoSpacing->False] StyleBox[\"…\", \"TR\"]\"] gives a list of channels whose names match the specified pattern representing a URI.\nRowBox[{\"FindChannels\", \"[\", \"Anonymous\", \"]\"}] gives a list of unnamed channels that you can access.", - "FindClique":"RowBox[{\"FindClique\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a largest clique in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a clique containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[RowBox[{\"{\", \"n\", \"}\"}], \"TI\"]}], \"]\"}] finds a clique containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a clique containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] cliques.\nRowBox[{\"FindClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds cliques that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindClusters":"RowBox[{\"FindClusters\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] partitions the StyleBox[SubscriptBox[StyleBox[\"e\", \"TI\"], \"i\"], \"TI\"] into clusters of similar elements. \nRowBox[{\"FindClusters\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] returns the StyleBox[SubscriptBox[\"v\", \"i\"], \"TI\"] corresponding to the StyleBox[SubscriptBox[StyleBox[\"e\", \"TI\"], \"i\"], \"TI\"] in each cluster. \nRowBox[{\"FindClusters\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the same result. \nRowBox[{\"FindClusters\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] returns the SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in each cluster.\nRowBox[{\"FindClusters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] partitions StyleBox[\"data\", \"TI\"] into at most StyleBox[\"n\", \"TI\"] clusters. ", - "FindCookies":"RowBox[{\"FindCookies\", \"[\", \"]\"}] gives a list of all cookies.\nRowBox[{\"FindCookies\", \"[\", StyleBox[\"domain\", \"TI\"], \"]\"}] gives a list of cookies associated with the specified domain.\nRowBox[{\"FindCookies\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives a list of cookies whose attributes match the specification in the association StyleBox[\"assoc\", \"TI\"].", - "FindCurvePath":"RowBox[{\"FindCurvePath\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an ordering of the RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] that corresponds to one or more smooth curves.", - "FindCycle":"RowBox[{\"FindCycle\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a cycle in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a cycle of length at most StyleBox[\"k\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}]}], \"]\"}] finds a cycle of length exactly StyleBox[\"k\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a cycle of length between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"FindCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] cycles.\nRowBox[{\"FindCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds cycles that include the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"FindCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindDevices":"RowBox[{\"FindDevices\", \"[\", \"]\"}] searches for available devices on your computer system.\nRowBox[{\"FindDevices\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives a list of devices in classes whose names match the string pattern StyleBox[\"form\", \"TI\"].\nRowBox[{\"FindDevices\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of devices in classes whose names match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindDevices\", \"[\", RowBox[{StyleBox[\"forms\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] devices.", - "FindDistribution":"RowBox[{\"FindDistribution\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] finds a simple functional form to fit the distribution of StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds up to StyleBox[\"n\", \"TI\"] best distributions.\nRowBox[{\"FindDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best distributions associated with property StyleBox[\"prop\", \"TI\"].\nRowBox[{\"FindDistribution\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best distributions associated with properties SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc.", - "FindDistributionParameters":"RowBox[{\"FindDistributionParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] finds the parameter estimates for the distribution StyleBox[\"dist\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindDistributionParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], ….", - "FindDivisions":"RowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a list of about StyleBox[\"n\", \"TI\"] \"nice\" numbers that divide the interval around SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] into equally spaced parts. \nRowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes the parts always have lengths that are integer multiples of StyleBox[\"dx\", \"TI\"]. \nRowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds successive subdivisions into about SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … parts. \nRowBox[{\"FindDivisions\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses spacings that are forced to be multiples of SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dx\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", - "FindEdgeCover":"RowBox[{\"FindEdgeCover\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an edge cover of the graph StyleBox[\"g\", \"TI\"] with a minimum number of edges.\nRowBox[{\"FindEdgeCover\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindEdgeCut":"RowBox[{\"FindEdgeCut\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a smallest edge cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEdgeCut\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a smallest StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] edge cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEdgeCut\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindEdgeIndependentPaths":"RowBox[{\"FindEdgeIndependentPaths\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] edge-independent paths from vertex StyleBox[\"s\", \"TI\"] to vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEdgeIndependentPaths\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindEquationalProof":"RowBox[{\"FindEquationalProof\", \"[\", RowBox[{StyleBox[\"thm\", \"TI\"], \",\", StyleBox[\"axms\", \"TI\"]}], \"]\"}] tries to find a proof of the equational logic theorem StyleBox[\"thm\", \"TI\"] using the axioms StyleBox[\"axms\", \"TI\"].", - "FindEulerianCycle":"RowBox[{\"FindEulerianCycle\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an Eulerian cycle in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindEulerianCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] Eulerian cycles.\nRowBox[{\"FindEulerianCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindExternalEvaluators":"RowBox[{\"FindExternalEvaluators\", \"[\", \"]\"}] finds installed external evaluators that can be used with ExternalEvaluate, returning a dataset of the results found.\nRowBox[{\"FindExternalEvaluators\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] finds only external evaluators for language or system StyleBox[\"sys\", \"TI\"].", - "FindFaces":"RowBox[{\"FindFaces\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] attempts to find human faces in StyleBox[\"image\", \"TI\"] and returns a list of bounding boxes.\nRowBox[{\"FindFaces\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns the specified property StyleBox[\"prop\", \"TI\"] for each detected face.\nRowBox[{\"FindFaces\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] finds faces that satisfy the criterion StyleBox[\"crit\", \"TI\"].", - "FindFile":"RowBox[{\"FindFile\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] finds the file with the specified name that would be loaded by RowBox[{\"Get\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] and related functions.", - "FindFit":"RowBox[{\"FindFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pars\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds numerical values of the parameters StyleBox[\"pars\", \"TI\"] that make StyleBox[\"expr\", \"TI\"] give a best fit to StyleBox[\"data\", \"TI\"] as a function of StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"FindFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds a best fit subject to the parameter constraints StyleBox[\"cons\", \"TI\"].", - "FindFormula":"RowBox[{\"FindFormula\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] finds a pure function that approximates StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] finds a symbolic function of the variable StyleBox[\"x\", \"TI\"] that approximates StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds up to StyleBox[\"n\", \"TI\"] functions that approximate StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best functions associated with property StyleBox[\"prop\", \"TI\"].\nRowBox[{\"FindFormula\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] best functions associated with properties SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"prop\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc.", - "FindFundamentalCycles":"RowBox[{\"FindFundamentalCycles\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds fundamental cycles of the graph StyleBox[\"g\", \"TI\"].", - "FindGeneratingFunction":"RowBox[{\"FindGeneratingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"0\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to find a simple generating function in StyleBox[\"x\", \"TI\"] whose StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] series coefficient is SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"FindGeneratingFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"0\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], \"0\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to find a simple generating function whose SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] series coefficient is SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "FindGeoLocation":"RowBox[{\"FindGeoLocation\", \"[\", \"]\"}] attempts to find the current geo location of your computer.\nRowBox[{\"FindGeoLocation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"ip\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an estimate of the geo location associated with the IP address given.\nRowBox[{\"FindGeoLocation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to find the geo location associated with the street address given.\nRowBox[{\"FindGeoLocation\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the geo location associated with the specified entity.", - "FindGeometricTransform":"RowBox[{\"FindGeometricTransform\", \"[\", RowBox[{SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds a geometric transformation that aligns positions specified by SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]] with SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], returning the alignment error together with the transformation function.\nRowBox[{\"FindGeometricTransform\", \"[\", RowBox[{StyleBox[\"ref\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds geometric transformations that align each of the SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"i\", \"TI\"]] with StyleBox[\"ref\", \"TI\"]. \nRowBox[{\"FindGeometricTransform\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] finds geometric transformations that align each of the SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"i\", \"TI\"]] with SubscriptBox[StyleBox[\"pts\", \"TI\"], StyleBox[\"1\", \"TR\"]].", - "FindGraphCommunities":"RowBox[{\"FindGraphCommunities\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds communities in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindGraphCommunities\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindGraphIsomorphism":"RowBox[{\"FindGraphIsomorphism\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds an isomorphism that maps the graph SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]] by renaming vertices.\nRowBox[{\"FindGraphIsomorphism\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] isomorphisms. \nRowBox[{\"FindGraphIsomorphism\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindGraphPartition":"RowBox[{\"FindGraphPartition\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a partition of vertices of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a partition of vertices into StyleBox[\"k\", \"TI\"] approximately equal-size parts.\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a partition of vertices into parts with sizes SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a partition of vertices into parts with approximate size proportions SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"FindGraphPartition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindHamiltonianCycle":"RowBox[{\"FindHamiltonianCycle\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a Hamiltonian cycle in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindHamiltonianCycle\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] Hamiltonian cycles.\nRowBox[{\"FindHamiltonianCycle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindHamiltonianPath":"RowBox[{\"FindHamiltonianPath\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a Hamiltonian path in the graph StyleBox[\"g\", \"TI\"] with the smallest total length.\nRowBox[{\"FindHamiltonianPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a Hamiltonian path with the smallest total length from StyleBox[\"s\", \"TI\"] to StyleBox[\"t\", \"TI\"].", - "FindHiddenMarkovStates":"RowBox[{\"FindHiddenMarkovStates\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hmm\", \"TI\"]}], \"]\"}] finds the most likely hidden states of the HiddenMarkovProcess StyleBox[\"hmm\", \"TI\"] corresponding to the emissions StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindHiddenMarkovStates\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hmm\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] uses the given criterion StyleBox[\"crit\", \"TI\"] to find the hidden states.", - "FindIndependentEdgeSet":"RowBox[{\"FindIndependentEdgeSet\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an independent edge set of the graph StyleBox[\"g\", \"TI\"] with a maximum number of edges.\nRowBox[{\"FindIndependentEdgeSet\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindIndependentVertexSet":"RowBox[{\"FindIndependentVertexSet\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds an independent vertex set of the graph StyleBox[\"g\", \"TI\"] with a maximum number of vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds an independent vertex set with at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds an independent vertex set with exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds an independent vertex set containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] independent vertex sets.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds independent sets that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindIndependentVertexSet\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindInstance":"RowBox[{\"FindInstance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds an instance of StyleBox[\"vars\", \"TI\"] that makes the statement StyleBox[\"expr\", \"TI\"] be True. \nRowBox[{\"FindInstance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds an instance over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Complexes, Reals, Integers, and Booleans. \nRowBox[{\"FindInstance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds StyleBox[\"n\", \"TI\"] instances. ", - "FindIntegerNullVector":"RowBox[{\"FindIntegerNullVector\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] finds a list of integers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] such that RowBox[{RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"2\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}], \"+\", \"⋯\", \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"\", \"0\"}]. \nRowBox[{\"FindIntegerNullVector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] finds a list of integers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] with RowBox[{RowBox[{\"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\"}], \"≤\", StyleBox[\"d\", \"TI\"]}] such that RowBox[{RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"2\"], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"]}], \"+\", \"⋯\", \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"\", \"0\"}]. ", - "FindKClan":"RowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-clan in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clan containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clan containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clan containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindKClan\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] StyleBox[\"k\", \"TI\"]-clans.\nRowBox[{\"FindKClan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds StyleBox[\"k\", \"TI\"]-clans that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindKClan\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindKClique":"RowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-clique in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clique containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clique containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-clique containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindKClique\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] StyleBox[\"k\", \"TI\"]-cliques.\nRowBox[{\"FindKClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds StyleBox[\"k\", \"TI\"]-cliques that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindKClique\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindKClub":"RowBox[{\"FindKClub\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-club in the graph StyleBox[\"g\", \"TI\"].", - "FindKPlex":"RowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a largest StyleBox[\"k\", \"TI\"]-plex in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-plex containing at most StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-plex containing exactly StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a StyleBox[\"k\", \"TI\"]-plex containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] vertices.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"s\", \"TI\"] StyleBox[\"k\", \"TI\"]-plexes.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds StyleBox[\"k\", \"TI\"]-plexes that include the vertex StyleBox[\"v\", \"TI\"] only.\nRowBox[{\"FindKPlex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindLibrary":"RowBox[{\"FindLibrary\", \"[\", StyleBox[\"lib\", \"TI\"], \"]\"}] finds a dynamic library that can be loaded by LibraryFunctionLoad.", - "FindLinearRecurrence":"RowBox[{\"FindLinearRecurrence\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds if possible the minimal linear recurrence that generates StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindLinearRecurrence\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] finds if possible the linear recurrence of maximum order StyleBox[\"d\", \"TI\"] that generates StyleBox[\"list\", \"TI\"].", - "FindList":"RowBox[{\"FindList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list of lines in the file that contain the specified string. \nRowBox[{\"FindList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of all lines that contain any of the specified strings. \nRowBox[{\"FindList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a list of lines containing the specified strings in any of the SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FindList\", \"[\", RowBox[{StyleBox[\"files\", \"TI\"], \",\", StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] lines found. ", - "FindMaximum":"RowBox[{\"FindMaximum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] searches for a local maximum in StyleBox[\"f\", \"TI\"], starting from an automatically selected point.\nRowBox[{\"FindMaximum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a local maximum in StyleBox[\"f\", \"TI\"], starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMaximum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local maximum in a function of several variables. \nRowBox[{\"FindMaximum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local maximum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMaximum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", - "FindMaximumFlow":"RowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the maximum flow between source vertex StyleBox[\"s\", \"TI\"] and target vertex StyleBox[\"t\", \"TI\"] in a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the maximum flow between vertex indices StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"] in a graph with edge capacity matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the maximum flow between multi-sources SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], … and multi-targets SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], ….\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".\nRowBox[{\"FindMaximumFlow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindMaxValue":"RowBox[{\"FindMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the value at a local maximum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the value at a local maximum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local maximum of a function of several variables. \nRowBox[{\"FindMaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local maximum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", - "FindMeshDefects":"RowBox[{\"FindMeshDefects\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] finds defects in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"FindMeshDefects\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds only the specified type of defects SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"FindMeshDefects\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"defects\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] formats the results according to StyleBox[\"format\", \"TI\"] specification.", - "FindMinimum":"RowBox[{\"FindMinimum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] searches for a local minimum in StyleBox[\"f\", \"TI\"], starting from an automatically selected point.\nRowBox[{\"FindMinimum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a local minimum in StyleBox[\"f\", \"TI\"], starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMinimum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local minimum in a function of several variables. \nRowBox[{\"FindMinimum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a local minimum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMinimum\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", - "FindMinimumCostFlow":"RowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the minimum cost flow in the graph StyleBox[\"g\", \"TI\"] with SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"sd\", \"TI\"], StyleBox[\"2\", \"TR\"]], … vertex supplies or demands.\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the minimum cost maximum flow between source vertex StyleBox[\"s\", \"TI\"] and target vertex StyleBox[\"t\", \"TI\"] in a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] finds the minimum cost flow between source StyleBox[\"s\", \"TI\"] and target StyleBox[\"t\", \"TI\"], with the required flow StyleBox[\"d\", \"TI\"].\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds the minimum cost flow in a graph with cost matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".\nRowBox[{\"FindMinimumCostFlow\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindMinimumCut":"RowBox[{\"FindMinimumCut\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the minimum cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindMinimumCut\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindMinValue":"RowBox[{\"FindMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the value at a local minimum of StyleBox[\"f\", \"TI\"].\nRowBox[{\"FindMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the value at a local minimum of StyleBox[\"f\", \"TI\"], found by a search starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. \nRowBox[{\"FindMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local minimum of a function of several variables. \nRowBox[{\"FindMinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the value at a local minimum subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"FindMinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] starts from a point within the region defined by the constraints.", - "FindPath":"RowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a path between vertex StyleBox[\"s\", \"TI\"] and vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"k\", \"TI\"]}], \"]\"}] finds a path of length at most StyleBox[\"k\", \"TI\"] between vertex StyleBox[\"s\", \"TI\"] and vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}]}], \"]\"}] finds a path of length exactly StyleBox[\"k\", \"TI\"].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a path of length between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"FindPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"n\", \"TI\"] paths.\nRowBox[{\"FindPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindPeaks":"RowBox[{\"FindPeaks\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives positions and values of the detected peaks in StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] finds peaks that survive Gaussian blurring up to scale StyleBox[\"σ\", \"TR\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] finds peaks with minimum sharpness StyleBox[\"s\", \"TI\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds only peaks with values greater than StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindPeaks\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"s\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"t\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses different scales for thresholding sharpness and value.", - "FindPermutation":"RowBox[{\"FindPermutation\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a permutation that produces StyleBox[\"expr\", \"TI\"] by permuting RowBox[{\"Sort\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}].\nRowBox[{\"FindPermutation\", \"[\", RowBox[{StyleBox[SubscriptBox[StyleBox[RowBox[{\"e\", StyleBox[\"xpr\", \"TI\"]}]], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[SubscriptBox[\"expr\", StyleBox[\"2\", \"TR\"]], \"TI\"]}], \"]\"}] gives a permutation that converts SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] for two expressions that differ only in the order of their arguments.", - "FindPostmanTour":"RowBox[{\"FindPostmanTour\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a Chinese postman tour in the graph StyleBox[\"g\", \"TI\"] of minimal length.\nRowBox[{\"FindPostmanTour\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] Chinese postman tours. \nRowBox[{\"FindPostmanTour\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "FindProcessParameters":"RowBox[{\"FindProcessParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"]}], \"]\"}] finds the parameter estimates for the process StyleBox[\"proc\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"FindProcessParameters\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the parameters StyleBox[\"p\", \"TI\"], StyleBox[\"q\", \"TI\"], … with starting values SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"0\", \"TR\"]], … .", - "FindRepeat":"RowBox[{\"FindRepeat\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the minimal sublist or subarray that repeats to give StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] requires that the sublist be repeated at least StyleBox[\"n\", \"TI\"] times in StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] requires SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] to repeat at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] finds the minimal substring that repeats to give StyleBox[\"string\", \"TI\"].\nRowBox[{\"FindRepeat\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] requires that the substring be repeated at least StyleBox[\"n\", \"TI\"] times.", - "FindRoot":"RowBox[{\"FindRoot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a numerical root of StyleBox[\"f\", \"TI\"], starting from the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].\nRowBox[{\"FindRoot\", \"[\", RowBox[{RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] searches for a numerical solution to the equation RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}]. \nRowBox[{\"FindRoot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a simultaneous numerical root of all the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindRoot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] searches for a numerical solution to the simultaneous equations SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "FindSequenceFunction":"RowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] attempts to find a simple function that yields the sequence SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]] when given successive integer arguments.\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] attempts to find a simple function that yields SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] when given argument SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a function that yields SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] when given argument SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a function that yields SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] when given argument SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FindSequenceFunction\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the function applied to StyleBox[\"n\", \"TI\"].", - "FindSettings":"FindSettings is a global option that specifies settings for the StyleBox[\"Find\", \"MenuName\"] dialog box.", - "FindShortestPath":"RowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds the shortest path from source vertex StyleBox[\"s\", \"TI\"] to target vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", \"All\"}], \"]\"}] generates a RowBox[{\"ShortestPathFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", \"All\", \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a RowBox[{\"ShortestPathFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"s\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", \"All\", \",\", \"All\"}], \"]\"}] generates a RowBox[{\"ShortestPathFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to different StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindShortestPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "FindShortestTour":"RowBox[{\"FindShortestTour\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] attempts to find an ordering of the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] that minimizes the total distance on a tour that visits all the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] once.\nRowBox[{\"FindShortestTour\", \"[\", StyleBox[\"graph\", \"TI\"], \"]\"}] attempts to find an ordering of the vertices in StyleBox[\"graph\", \"TI\"] that minimizes the total length when visiting each vertex once.\nRowBox[{\"FindShortestTour\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds an ordering of the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] that minimizes the total distance on a path from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"FindShortestTour\", \"[\", RowBox[{StyleBox[\"graph\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds an ordering of the vertices that minimizes the total length on a path from StyleBox[\"s\", \"TI\"] to StyleBox[\"t\", \"TI\"].\nRowBox[{\"FindShortestTour\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "FindSpanningTree":"RowBox[{\"FindSpanningTree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a spanning tree of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindSpanningTree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds a spanning tree of the connected component of StyleBox[\"g\", \"TI\"] that includes the vertex StyleBox[\"v\", \"TI\"]. \nRowBox[{\"FindSpanningTree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "FindSystemModelEquilibrium":"RowBox[{\"FindSystemModelEquilibrium\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] searches for an equilibrium to the model StyleBox[\"model\", \"TI\"].\nRowBox[{\"FindSystemModelEquilibrium\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] searches for an equilibrium, starting from the points RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"=\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]]}] and RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]]}].\nRowBox[{\"FindSystemModelEquilibrium\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] searches for an equilibrium, with variable SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] constrained to have the value SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] etc. ", - "FindTextualAnswer":"RowBox[{\"FindTextualAnswer\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"question\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the substring of StyleBox[\"text\", \"TI\"] that best appears to answer StyleBox[\"question\", \"TI\"].\nRowBox[{\"FindTextualAnswer\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"question\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of up to StyleBox[\"n\", \"TI\"] answers that appear most probable.\nRowBox[{\"FindTextualAnswer\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"question\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property for each answer.", - "FindThreshold":"RowBox[{\"FindThreshold\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds a global threshold value that partitions the intensity values in StyleBox[\"image\", \"TI\"] into two intervals.", - "FindTransientRepeat":"RowBox[{\"FindTransientRepeat\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a pair of lists RowBox[{\"{\", RowBox[{StyleBox[\"transient\", \"TI\"], \",\", StyleBox[\"repeat\", \"TI\"]}], \"}\"}] where the elements of StyleBox[\"repeat\", \"TI\"] occur successively at least StyleBox[\"n\", \"TI\"] times after the elements of the StyleBox[\"transient\", \"TI\"] part of StyleBox[\"list\", \"TI\"].\nRowBox[{\"FindTransientRepeat\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a pair of strings RowBox[{\"{\", RowBox[{StyleBox[\"transient\", \"TI\"], \",\", StyleBox[\"repeat\", \"TI\"]}], \"}\"}].", - "FindVertexCover":"RowBox[{\"FindVertexCover\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a vertex cover of the graph StyleBox[\"g\", \"TI\"] with a minimum number of vertices.\nRowBox[{\"FindVertexCover\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "FindVertexCut":"RowBox[{\"FindVertexCut\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] finds a smallest vertex cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindVertexCut\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] finds a smallest StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] vertex cut of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindVertexCut\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "FindVertexIndependentPaths":"RowBox[{\"FindVertexIndependentPaths\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] finds at most StyleBox[\"k\", \"TI\"] vertex-independent paths from vertex StyleBox[\"s\", \"TI\"] to vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FindVertexIndependentPaths\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "FinishDynamic":"RowBox[{\"FinishDynamic\", \"[\", \"]\"}] finishes updating and displaying all currently visible Dynamic objects. ", - "FiniteAbelianGroupCount":"RowBox[{\"FiniteAbelianGroupCount\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of finite Abelian groups of order StyleBox[\"n\", \"TI\"].", - "FiniteGroupCount":"RowBox[{\"FiniteGroupCount\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of finite groups of order StyleBox[\"n\", \"TI\"].", - "FiniteGroupData":"RowBox[{\"FiniteGroupData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the finite group specified by StyleBox[\"name\", \"TI\"].\nRowBox[{\"FiniteGroupData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of finite groups in the specified class.", - "First":"RowBox[{\"First\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the first element in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"First\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] gives the first element if it exists, or StyleBox[\"def\", \"TI\"] otherwise.", - "FirstCase":"RowBox[{\"FirstCase\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives the first SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] to match StyleBox[\"pattern\", \"TI\"], or RowBox[{\"Missing\", \"[\", StyleBox[\"\\\"NotFound\\\"\",ShowStringCharacters->True], \"]\"}] if none matching StyleBox[\"pattern\", \"TI\"] is found. \nRowBox[{\"FirstCase\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{StyleBox[\"pattern\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives the value of StyleBox[\"rhs\", \"TI\"] corresponding to the first SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] to match StyleBox[\"pattern\", \"TI\"].\nRowBox[{\"FirstCase\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if no element matching StyleBox[\"pattern\", \"TI\"] is found. \nRowBox[{\"FirstCase\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] finds only objects that appear on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"FirstCase\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of FirstCase that can be applied to an expression.", - "FirstPassageTimeDistribution":"RowBox[{\"FirstPassageTimeDistribution\", \"[\", RowBox[{StyleBox[\"mproc\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents the distribution of times for the Markov process StyleBox[\"mproc\", \"TI\"] to pass from the initial state to final states StyleBox[\"f\", \"TI\"] for the first time. ", - "FirstPosition":"RowBox[{\"FirstPosition\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives the position of the first element in StyleBox[\"expr\", \"TI\"] that matches StyleBox[\"pattern\", \"TI\"], or RowBox[{\"Missing\", \"[\", StyleBox[\"\\\"NotFound\\\"\",ShowStringCharacters->True], \"]\"}] if no such element is found.\nRowBox[{\"FirstPosition\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if no element matching StyleBox[\"pattern\", \"TI\"] is found.\nRowBox[{\"FirstPosition\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] finds only objects that appear on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"FirstPosition\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of FirstPosition that can be applied to an expression.", - "FischerGroupFi22":"RowBox[{\"FischerGroupFi22\", \"[\", \"]\"}] represents the sporadic simple Fischer group SubscriptBox[\"Fi\", \"22\"].", - "FischerGroupFi23":"RowBox[{\"FischerGroupFi23\", \"[\", \"]\"}] represents the sporadic simple Fischer group SubscriptBox[\"Fi\", \"23\"].", - "FischerGroupFi24Prime":"RowBox[{\"FischerGroupFi24Prime\", \"[\", \"]\"}] represents the sporadic simple Fischer group SubsuperscriptBox[\"Fi\", \"24\", \"′\"].", - "FisherHypergeometricDistribution":"RowBox[{\"FisherHypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"succ\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"tot\", \"TI\"]], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a Fisher noncentral hypergeometric distribution.", - "FisherRatioTest":"RowBox[{\"FisherRatioTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of StyleBox[\"data\", \"TI\"] is 1. \nRowBox[{\"FisherRatioTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"FisherRatioTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"FisherRatioTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "FisherZDistribution":"RowBox[{\"FisherZDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a Fisher StyleBox[\"z\", \"TI\"] distribution with StyleBox[\"n\", \"TI\"] numerator and StyleBox[\"m\", \"TI\"] denominator degrees of freedom.", - "Fit":"RowBox[{\"Fit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] finds a least‐squares fit to a list of data as a linear combination of the functions StyleBox[\"funs\", \"TI\"] of variables StyleBox[\"vars\", \"TI\"]. ", - "FittedModel":"RowBox[{\"FittedModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic fitted model obtained from functions like LinearModelFit.", - "FixedOrder":"RowBox[{\"FixedOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a grammar rules pattern object that represents a sequence of elements matching SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"], in the fixed order given.", - "FixedPoint":"RowBox[{\"FixedPoint\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] starts with StyleBox[\"expr\", \"TI\"], then applies StyleBox[\"f\", \"TI\"] repeatedly until the result no longer changes. ", - "FixedPointList":"RowBox[{\"FixedPointList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] generates a list giving the results of applying StyleBox[\"f\", \"TI\"] repeatedly, starting with StyleBox[\"expr\", \"TI\"], until the results no longer change. ", - "Flat":"Flat is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that all expressions involving nested functions StyleBox[\"f\", \"TI\"] should be flattened out. This property is accounted for in pattern matching. ", - "Flatten":"RowBox[{\"Flatten\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] flattens out nested lists. \nRowBox[{\"Flatten\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] flattens to level StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Flatten\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] flattens subexpressions with head StyleBox[\"h\", \"TI\"]. \nRowBox[{\"Flatten\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] flattens StyleBox[\"list\", \"TI\"] by combining all levels SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]] to make each level StyleBox[\"i\", \"TI\"] in the result. ", - "FlattenAt":"RowBox[{\"FlattenAt\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] flattens out a sublist that appears as the SuperscriptBox[StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]], StyleBox[\"th\", \"TR\"]] element of StyleBox[\"list\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"FlattenAt\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] flattens out the part of StyleBox[\"expr\", \"TI\"] at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"FlattenAt\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] flattens out parts of StyleBox[\"expr\", \"TI\"] at several positions. ", - "FlattenLayer":"RowBox[{\"FlattenLayer\", \"[\", \"]\"}] represents a net layer that flattens any input tensor into a vector.\nRowBox[{\"FlattenLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that flattens its input to level StyleBox[\"n\", \"TI\"].", - "FlatTopWindow":"RowBox[{\"FlatTopWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a exact flat top window function of StyleBox[\"x\", \"TI\"].", - "FlipView":"RowBox[{\"FlipView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents an object which flips between displaying SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] each time it is clicked.\nRowBox[{\"FlipView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] cyclically flips through successive SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FlipView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] be the object currently displayed.", - "Floor":"RowBox[{\"Floor\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the greatest integer less than or equal to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Floor\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the greatest multiple of StyleBox[\"a\", \"TI\"] less than or equal to StyleBox[\"x\", \"TI\"]. ", - "FlowPolynomial":"RowBox[{\"FlowPolynomial\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the flow polynomial of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"FlowPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "Fold":"RowBox[{\"Fold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the last element of RowBox[{\"FoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}].\nRowBox[{\"Fold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] is equivalent to RowBox[{\"Fold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"First\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \",\", RowBox[{\"Rest\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]}], \"]\"}].\nRowBox[{\"Fold\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Fold that can be applied to expressions. ", - "FoldList":"RowBox[{\"FoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"FoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"FoldList\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of FoldList that can be applied to expressions. ", - "FoldPair":"RowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives the last element of RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}].\nRowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] gives the last element of RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}].\nRowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{\"FoldPair\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}].", - "FoldPairList":"RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list of successive SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] obtained by applying StyleBox[\"f\", \"TI\"] to pairs of the form RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[RowBox[{\"i\", \"-\", StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], where at each step StyleBox[\"f\", \"TI\"] returns RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] gives the list of successive values of RowBox[{StyleBox[\"g\", \"TI\"], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \"]\"}].\nRowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is equivalent to RowBox[{\"FoldPairList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}].", - "FollowRedirects":"FollowRedirects is an option for URLRead and related functions that specifies whether to follow HTTP redirects when retrieving a URL.", - "FontColor":"FontColor is an option for Style, Cell, and related constructs that specifies the default color in which to render text. ", - "FontFamily":"FontFamily is an option for Style and Cell that specifies the font family in which text should be rendered. ", - "FontPostScriptName":"FontPostScriptName is an option to StyleBox which changes the current font. A sample specification is RowBox[{\"FontPostScriptName\", \" \", \"->\", \" \", RowBox[{\"Times\", \"-\", \"Roman\"}]}]. The default value is Automatic.", - "FontProperties":"FontProperties specifies font properties.", - "FontSize":"FontSize is an option for Style and Cell that specifies the default size in printer's points of the font in which to render text. ", - "FontSlant":"FontSlant is an option for Style, Cell, and related constructs that specifies how slanted characters in text should be. ", - "FontSubstitutions":"FontSubstitutions is an option for Cell that gives a list of substitutions to try for font family names. ", - "FontTracking":"FontTracking is an option for Style and Cell that specifies how condensed or expanded you want the font in which text is rendered to be. ", - "FontVariations":"FontVariations is an option for Style, Cell, and related constructs that specifies what font variations should be used.", - "FontWeight":"FontWeight is an option for Style, Cell, and related constructs that specifies how heavy the characters in a font should be. ", - "For":"RowBox[{\"For\", \"[\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"incr\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] executes StyleBox[\"start\", \"TI\"], then repeatedly evaluates StyleBox[\"body\", \"TI\"] and StyleBox[\"incr\", \"TI\"] until StyleBox[\"test\", \"TI\"] fails to give True. ", - "ForAll":"RowBox[{\"ForAll\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents the statement that StyleBox[\"expr\", \"TI\"] is True for all values of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"ForAll\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that StyleBox[\"expr\", \"TI\"] is True for all StyleBox[\"x\", \"TI\"] satisfying the condition StyleBox[\"cond\", \"TI\"]. \nRowBox[{\"ForAll\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] states that StyleBox[\"expr\", \"TI\"] is True for all values of all the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\", FontSlant -> \"Italic\"]]. ", - "Format":"RowBox[{\"Format\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the formatted form of StyleBox[\"expr\", \"TI\"]. Assigning values to RowBox[{\"Format\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] defines print forms for expressions. \nRowBox[{\"Format\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a format for the specified form of output. ", - "FormatType":"FormatType is an option for output streams, graphics, and functions such as Text that specifies the default format type to use when outputting expressions. ", - "FormatTypeAutoConvert":"FormatTypeAutoConvert is an option for cells that specifies whether the contents of a cell are automatically converted into a different format when the style of that cell is changed.", - "FormatValues":"RowBox[{\"FormatValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all printing formats (values for RowBox[{\"Format\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", - "FormBox":"RowBox[{FormBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] is a low-level box construct which displays as StyleBox[\"boxes\", \"TI\"] but specifies that rules associated with StyleBox[\"form\", \"TI\"] should be used to interpret StyleBox[\"boxes\", \"TI\"] on input. ", - "FormBoxOptions":"FormBoxOptions is an option for cells that specifies settings for FormBox objects within the cell.", - "FormControl":"RowBox[{\"FormControl\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"struct\", \"TI\"]}], \"]\"}] represents an editable form in a notebook, with structure specified by StyleBox[\"struct\", \"TI\"] and current values specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"FormControl\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", StyleBox[\"struct\", \"TI\"]}], \"]\"}] represents a form in a notebook in which current values are given by the dynamically updated value of StyleBox[\"x\", \"TI\"].", - "FormFunction":"RowBox[{\"FormFunction\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active form that, when submitted, applies StyleBox[\"func\", \"TI\"] to the values obtained from the form specified by StyleBox[\"formspec\", \"TI\"].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active form with fields named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] interpreted as types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the label for the field named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the default for the field specified by SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormFunction\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] specifies that in the cloud, the result from applying StyleBox[\"func\", \"TI\"] should be returned in format StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"FormFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a multipage form, in which the successive SubscriptBox[StyleBox[\"formspec\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be functions that are applied to the values obtained so far.", - "FormLayoutFunction":"FormLayoutFunction is an option for FormObject and FormFunction that can be used to specify how to lay out a form.", - "FormObject":"RowBox[{\"FormObject\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a form with fields having names SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] that take data of type SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormObject\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the label for the field named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormObject\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses full specification SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] for a field, and SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"j\", \"TI\"]] as part of the layout of the form.", - "FormPage":"RowBox[{\"FormPage\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active page that takes input from a form and generates results on the same page by applying StyleBox[\"func\", \"TI\"] to the values obtained from the form whose structure is defined by StyleBox[\"formspec\", \"TI\"].\nRowBox[{\"FormPage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] represents an active form page with fields named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]] interpreted as types SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormPage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the label for the field named SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormPage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"default\", \"TI\"], StyleBox[\"i\", \"TI\"]] as the default for the field specified by SubscriptBox[StyleBox[\"namespec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FormPage\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] lays out the page according to the layout specification StyleBox[\"form\", \"TI\"].\nRowBox[{\"FormPage\", \"[\", RowBox[{StyleBox[\"formspec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"], \",\", RowBox[{StyleBox[\"initform\", \"TI\"], \"\", StyleBox[\"resform\", \"TI\"]}]}], \"]\"}] uses StyleBox[\"initform\", \"TI\"] as the initial layout specification and StyleBox[\"resform\", \"TI\"] as the layout specification for result pages.", - "FormTheme":"FormTheme is an option for FormObject and related functions that specifies an overall theme for a form and its elements.", - "FormulaData":"RowBox[{\"FormulaData\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives the equations for the formula StyleBox[\"name\", \"TI\"].\nRowBox[{\"FormulaData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts the specified values SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the variables SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]] into the equations for the formula.\nRowBox[{\"FormulaData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the formula StyleBox[\"name\", \"TI\"].", - "FormulaLookup":"RowBox[{\"FormulaLookup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the full names of formulas whose names are consistent with \"\nStyleBox[\"query\", \"TI\"]\".\nRowBox[{\"FormulaLookup\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] results.", - "FortranForm":"RowBox[{\"FortranForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a Fortran language version of StyleBox[\"expr\", \"TI\"]. ", - "Forward":"Forward is a symbol that represents the forward direction for purposes of motion and animation.", - "ForwardBackward":"ForwardBackward is a symbol that represents alternate forward and backward motion or animation.", - "Fourier":"RowBox[{\"Fourier\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the discrete Fourier transform of a list of complex numbers.\nRowBox[{\"Fourier\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the specified positions of the discrete Fourier transform. ", - "FourierCoefficient":"RowBox[{\"FourierCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] coefficient in the Fourier series expansion of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a multidimensional Fourier coefficient.", - "FourierCosCoefficient":"RowBox[{\"FourierCosCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] coefficient in the Fourier cosine series expansion of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierCosCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a multidimensional Fourier cosine coefficient.", - "FourierCosSeries":"RowBox[{\"FourierCosSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier cosine series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"].\nRowBox[{\"FourierCosSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier cosine series of StyleBox[\"expr\", \"TI\"].", - "FourierCosTransform":"RowBox[{\"FourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the symbolic Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"FourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. ", - "FourierDCT":"RowBox[{\"FourierDCT\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the Fourier discrete cosine transform of a list of real numbers.\nRowBox[{\"FourierDCT\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds the Fourier discrete cosine transform of type StyleBox[\"m\", \"TI\"].", - "FourierDCTFilter":"RowBox[{\"FourierDCTFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] reduces noise in StyleBox[\"image\", \"TI\"] by locally thresholding the discrete cosine transforms of overlapping subimages, using the hard threshold StyleBox[\"t\", \"TI\"].", - "FourierDCTMatrix":"RowBox[{\"FourierDCTMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete cosine transform matrix of type 2.\nRowBox[{\"FourierDCTMatrix\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete cosine transform matrix of type StyleBox[\"m\", \"TI\"].", - "FourierDST":"RowBox[{\"FourierDST\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the Fourier discrete sine transform of a list of real numbers.\nRowBox[{\"FourierDST\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds the Fourier discrete sine transform of type StyleBox[\"m\", \"TI\"].", - "FourierDSTMatrix":"RowBox[{\"FourierDSTMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete sine transform matrix of type 2.\nRowBox[{\"FourierDSTMatrix\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] discrete sine transform matrix of type StyleBox[\"m\", \"TI\"].", - "FourierMatrix":"RowBox[{\"FourierMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Fourier matrix.", - "FourierParameters":"FourierParameters is an option to Fourier and related functions that specifies the conventions to use in computing Fourier transforms.", - "FourierSequenceTransform":"RowBox[{\"FourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the Fourier sequence transform of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier sequence transform. ", - "FourierSeries":"RowBox[{\"FourierSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"]. \nRowBox[{\"FourierSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier series.", - "FourierSinCoefficient":"RowBox[{\"FourierSinCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] coefficient in the Fourier sine series expansion of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"FourierSinCoefficient\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a multidimensional Fourier sine coefficientStyleBox[\".\", FontSlant -> \"Italic\"]", - "FourierSinSeries":"RowBox[{\"FourierSinSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier sine series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"].\nRowBox[{\"FourierSinSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier sine series of StyleBox[\"expr\", \"TI\"].", - "FourierSinTransform":"RowBox[{\"FourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the symbolic Fourier sine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"FourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier sine transform of StyleBox[\"expr\", \"TI\"]. ", - "FourierTransform":"RowBox[{\"FourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", \"ω\"}], \"]\"}] gives the symbolic Fourier transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"FourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[\"ω\", StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[\"ω\", StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier transform of StyleBox[\"expr\", \"TI\"]. ", - "FourierTrigSeries":"RowBox[{\"FourierTrigSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order Fourier trigonometric series expansion of StyleBox[\"expr\", \"TI\"] in StyleBox[\"t\", \"TI\"].\nRowBox[{\"FourierTrigSeries\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Fourier trigonometric series of StyleBox[\"expr\", \"TI\"].", - "FractionalBrownianMotionProcess":"RowBox[{\"FractionalBrownianMotionProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] represents fractional Brownian motion process with drift StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and Hurst index StyleBox[\"h\", \"TI\"].\nRowBox[{\"FractionalBrownianMotionProcess\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] represents fractional Brownian motion process with drift 0, volatility 1, and Hurst index StyleBox[\"h\", \"TI\"].", - "FractionalGaussianNoiseProcess":"RowBox[{\"FractionalGaussianNoiseProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] represents a fractional Gaussian noise process with drift StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and Hurst index StyleBox[\"h\", \"TI\"].\nRowBox[{\"FractionalGaussianNoiseProcess\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] represents a fractional Gaussian noise process with drift 0, volatility 1, and Hurst index StyleBox[\"h\", \"TI\"].", - "FractionalPart":"RowBox[{\"FractionalPart\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the fractional part of StyleBox[\"x\", \"TI\"]. ", - "FractionBox":"RowBox[{FractionBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is a low-level formatting construct that represents FractionBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", - "FractionBoxOptions":"FractionBoxOptions is an option that specifies settings for FractionBox objects.", - "FractionLine":"FractionLine is an option for fractions that specifies the thickness of the line separating the numerator and denominator.", - "Frame":"Frame is an option for Graphics, Grid, and other constructs that specifies whether to include a frame. ", - "FrameBox":"RowBox[{FrameBox, \"[\", StyleBox[\"box\", \"TI\"], \"]\"}] is a low-level box construct that represents StyleBox[\"box\", \"TI\"] with a frame drawn around it. ", - "FrameBoxOptions":"FrameBoxOptions is an option that specifies default settings for FrameBox objects.", - "Framed":"RowBox[{\"Framed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays a framed version of StyleBox[\"expr\", \"TI\"]. ", - "FrameLabel":"FrameLabel is an option for Graphics, Manipulate, and related functions that specifies labels to be placed on the edges of a frame. ", - "FrameMargins":"FrameMargins is an option for objects that can be displayed with frames which specifies the absolute margins in printer's points to leave inside the frame. ", - "FrameRate":"FrameRate is an option to specify the number of frames per second. ", - "FrameStyle":"FrameStyle is an option for Graphics, Grid, and other constructs that specifies the style in which to draw frames.", - "FrameTicks":"FrameTicks is an option for 2D graphics functions that specifies tick marks for the edges of a frame. ", - "FrameTicksStyle":"FrameTicksStyle is an option for 2D graphics functions that specifies how frame ticks should be rendered.", - "FRatioDistribution":"RowBox[{\"FRatioDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents an F-ratio distribution with StyleBox[\"n\", \"TI\"] numerator and StyleBox[\"m\", \"TI\"] denominator degrees of freedom.", - "FrechetDistribution":"RowBox[{\"FrechetDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents the Fréchet distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"FrechetDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents the Fréchet distribution with shape parameter StyleBox[\"α\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", - "FreeQ":"RowBox[{\"FreeQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] yields True if no subexpression in StyleBox[\"expr\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and yields False otherwise. \nRowBox[{\"FreeQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] tests only those parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"FreeQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of FreeQ that can be applied to an expression.", - "FrenetSerretSystem":"RowBox[{\"FrenetSerretSystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the generalized curvatures and Frenet–Serret basis for the parametric curve RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}].\nRowBox[{\"FrenetSerretSystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", - "FrequencySamplingFilterKernel":"RowBox[{\"FrequencySamplingFilterKernel\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] creates a finite impulse response (FIR) filter kernel using a frequency sampling method from amplitude values SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"FrequencySamplingFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] creates an FIR filter kernel of type StyleBox[\"m\", \"TI\"].", - "FresnelC":"RowBox[{\"FresnelC\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel integral RowBox[{\"C\", \"(\", \"z\", \")\"}]. ", - "FresnelF":"RowBox[{\"FresnelF\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel auxiliary function RowBox[{StyleBox[\"F\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "FresnelG":"RowBox[{\"FresnelG\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel auxiliary function RowBox[{StyleBox[\"G\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "FresnelS":"RowBox[{\"FresnelS\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Fresnel integral RowBox[{\"S\", \"(\", \"z\", \")\"}]. ", - "Friday":"Friday is a day of the week.", - "FrobeniusNumber":"RowBox[{\"FrobeniusNumber\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the Frobenius number of RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", - "FrobeniusSolve":"RowBox[{\"FrobeniusSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of all solutions of the Frobenius equation RowBox[{RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], \"1\"], SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}], \"+\", \"…\", \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"=\", StyleBox[\"b\", \"TI\"]}].\nRowBox[{\"FrobeniusSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives at most StyleBox[\"m\", \"TI\"] solutions.", - "FromAbsoluteTime":"RowBox[{\"FromAbsoluteTime\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a date object corresponding to an absolute time specification as given by AbsoluteTime.", - "FromCharacterCode":"RowBox[{\"FromCharacterCode\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string consisting of the character with integer code StyleBox[\"n\", \"TI\"]. \nRowBox[{\"FromCharacterCode\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a string consisting of the sequence of characters with codes SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"FromCharacterCode\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of strings. \nRowBox[{\"FromCharacterCode\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the specified character encoding. ", - "FromCoefficientRules":"RowBox[{\"FromCoefficientRules\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a polynomial from a list of rules for exponent vectors and coefficients. ", - "FromContinuedFraction":"RowBox[{\"FromContinuedFraction\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] reconstructs a number from the list of its continued fraction terms. ", - "FromDate":"RowBox[{\"FromDate\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] converts a date of the form RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}] to an absolute number of seconds since the beginning of January 1, 1900. ", - "FromDigits":"RowBox[{\"FromDigits\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] constructs an integer from the list of its decimal digits. \nRowBox[{\"FromDigits\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] takes the digits to be given in base StyleBox[\"b\", \"TI\"]. \nRowBox[{\"FromDigits\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"MixedRadix\", \"[\", StyleBox[\"blist\", \"TI\"], \"]\"}]}], \"]\"}] uses the mixed radix with list of bases StyleBox[\"blist\", \"TI\"]. \nRowBox[{\"FromDigits\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] constructs an integer from a string of digits.\nRowBox[{\"FromDigits\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"Roman\\\"\",ShowStringCharacters->True]}], \"]\"}] constructs an integer from Roman numerals.", - "FromDMS":"RowBox[{\"FromDMS\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] converts from degrees, minutes, and seconds to decimal degrees. \nRowBox[{\"FromDMS\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dms\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts from a DMS string to decimal degrees.\nRowBox[{\"FromDMS\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"latlon\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts from a latitude-longitude string to latitude and longitude in decimal degrees.", - "FromEntity":"RowBox[{\"FromEntity\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] returns a Wolfram Language object corresponding to an entity.", - "FromJulianDate":"RowBox[{\"FromJulianDate\", \"[\", StyleBox[\"jd\", \"TI\"], \"]\"}] gives a date object corresponding to the Julian date StyleBox[\"jd\", \"TI\"].\nRowBox[{\"FromJulianDate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"jd\", \"TI\"]}], \"]\"}] gives a date object corresponding to the specified Julian date variant.", - "FromLetterNumber":"RowBox[{\"FromLetterNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the lowercase letter at position StyleBox[\"n\", \"TI\"] in the English alphabet.\nRowBox[{\"FromLetterNumber\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"alpha\", \"TI\"]}], \"]\"}] gives the letter at position StyleBox[\"n\", \"TI\"] in the alphabet specified by StyleBox[\"alpha\", \"TI\"].", - "FromPolarCoordinates":"RowBox[{\"FromPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] Cartesian coordinates corresponding to the polar coordinates RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}]. \nRowBox[{\"FromPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], RowBox[{StyleBox[\"n\", \"TI\"], \"-\", StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}], \"]\"}] gives the coordinates corresponding to the hyperspherical coordinates RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], RowBox[{StyleBox[\"n\", \"TI\"], \"-\", StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}] ", - "FromRomanNumeral":"RowBox[{\"FromRomanNumeral\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the integer corresponding to the Roman numeral StyleBox[StyleBox[\"\\\"string\\\"\",ShowStringCharacters->True], \"TI\"]. ", - "FromSphericalCoordinates":"RowBox[{\"FromSphericalCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}] Cartesian coordinates corresponding to the spherical coordinates RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}].", - "FromUnixTime":"RowBox[{\"FromUnixTime\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] gives a date object corresponding to a UnixTime specification.", - "Front":"Front is a symbol that represents the front of a graphic for purposes of placement and alignment.", - "FrontEndDynamicExpression":"FrontEndDynamicExpression is a global front end option that specifies an expression to be dynamically updated whenever the front end is running.", - "FrontEndEventActions":"FrontEndEventActions is an option for the notebook front end that gives a list of actions to perform when specified user-interface events occur. ", - "FrontEndExecute":"RowBox[{\"FrontEndExecute\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] sends StyleBox[\"expr\", \"TI\"] to be executed by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", - "FrontEndStackSize":"FrontEndStackSize is a global option that specifies the size of the stack used to store data in the front end (Macintosh only).", - "FrontEndToken":"RowBox[{\"FrontEndToken\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is an object that represents a front end command token, typically corresponding to a front end menu item, to be executed by FrontEndExecute. \nRowBox[{\"FrontEndToken\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a command that targets the specified notebook. \nRowBox[{\"FrontEndToken\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] represents a command with a parameter.", - "FrontEndTokenExecute":"RowBox[{\"FrontEndTokenExecute\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cmd\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] executes the specified front end command token, typically corresponding to a front end menu item. ", - "Full":"Full is a setting used for certain options, typically indicating that a full range of values should be included. ", - "FullAxes":"RowBox[{\"FullAxes\", \"[\", StyleBox[\"graphics\", \"TI\"], \"]\"}] returns the axes options of a graphics object.", - "FullDefinition":"RowBox[{\"FullDefinition\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] prints as the definitions given for StyleBox[\"symbol\", \"TI\"], and all symbols on which these depend. ", - "FullForm":"RowBox[{\"FullForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the full form of StyleBox[\"expr\", \"TI\"], with no special syntax. ", - "FullGraphics":"RowBox[{\"FullGraphics\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] takes a graphics object, and generates a new one in which objects specified by graphics options are given as explicit lists of graphics primitives. ", - "FullInformationOutputRegulator":"RowBox[{\"FullInformationOutputRegulator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"rspec\", \"TI\"]}], \"]\"}] gives the full state information output regulator for StyleBox[\"sys\", \"TI\"] using specification StyleBox[\"rspec\", \"TI\"]. \nRowBox[{\"FullInformationOutputRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies the regulated outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] and the controlled inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]].", - "FullRegion":"RowBox[{\"FullRegion\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the full region SuperscriptBox[\"\", \"n\"].", - "FullSimplify":"RowBox[{\"FullSimplify\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] tries a wide range of transformations on StyleBox[\"expr\", \"TI\"] involving elementary and special functions and returns the simplest form it finds. \nRowBox[{\"FullSimplify\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] does simplification using assumptions. ", - "Function":"RowBox[{\"Function\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] or RowBox[{StyleBox[\"body\", \"TI\"], \"&\"}] is a pure (or \"anonymous\") function. The formal parameters are # (or #1), #2, etc. \nRowBox[{\"Function\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] is a pure function with a single formal parameter StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Function\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] is a pure function with a list of formal parameters. \nRowBox[{\"Function\", \"[\", RowBox[{StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"attrs\", \"TI\"]}], \"]\"}] is a pure function that is treated as having attributes StyleBox[\"attrs\", \"TI\"] for purposes of evaluation.", - "FunctionDomain":"RowBox[{\"FunctionDomain\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] finds the largest domain of definition of the real function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"FunctionDomain\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] considers StyleBox[\"f\", \"TI\"] to be a function with arguments and values in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"FunctionDomain\", \"[\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the largest domain of definition of the mapping StyleBox[\"funs\", \"TI\"] of the variables StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"FunctionDomain\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the domain of StyleBox[\"funs\", \"TI\"] with the values of StyleBox[\"vars\", \"TI\"] restricted by constraints StyleBox[\"cons\", \"TI\"].", - "FunctionExpand":"RowBox[{\"FunctionExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] tries to expand out special and certain other functions in StyleBox[\"expr\", \"TI\"], when possible reducing compound arguments to simpler ones. \nRowBox[{\"FunctionExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] expands using assumptions. ", - "FunctionInterpolation":"RowBox[{\"FunctionInterpolation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with StyleBox[\"x\", \"TI\"] running from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] and constructs an InterpolatingFunction object which represents an approximate function corresponding to the result. \nRowBox[{\"FunctionInterpolation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] constructs an InterpolatingFunction object with several arguments. ", - "FunctionPeriod":"RowBox[{\"FunctionPeriod\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a period StyleBox[\"p\", \"TI\"] of the function StyleBox[\"f\", \"TI\"] over the reals such that RowBox[{RowBox[{\"f\", \"(\", RowBox[{\"x\", \"+\", \"p\"}], \")\"}], \"\", RowBox[{\"f\", \"(\", \"x\", \")\"}]}].\nRowBox[{\"FunctionPeriod\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] gives a period with StyleBox[\"x\", \"TI\"] restricted to the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"FunctionPeriod\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives periods RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] such that RowBox[{RowBox[{\"f\", \"(\", RowBox[{RowBox[{SubscriptBox[\"x\", \"1\"], \"+\", SubscriptBox[\"p\", \"1\"]}], \",\", RowBox[{SubscriptBox[\"x\", \"2\"], \"+\", SubscriptBox[\"p\", \"2\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}], \"\", RowBox[{\"f\", \"(\", RowBox[{SubscriptBox[\"x\", \"1\"], \",\", SubscriptBox[\"x\", \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}]}].", - "FunctionRange":"RowBox[{\"FunctionRange\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] finds the range of the real function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"x\", \"TI\"] returning the result in terms of StyleBox[\"y\", \"TI\"].\nRowBox[{\"FunctionRange\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] considers StyleBox[\"f\", \"TI\"] to be a function with arguments and values in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"FunctionRange\", \"[\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"xvars\", \"TI\"], \",\", StyleBox[\"yvars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the range of the mapping StyleBox[\"funs\", \"TI\"] of the variables StyleBox[\"xvars\", \"TI\"] returning the result in terms of StyleBox[\"yvars\", \"TI\"].\nRowBox[{\"FunctionRange\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"funs\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"xvars\", \"TI\"], \",\", StyleBox[\"yvars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] finds the range of the mapping StyleBox[\"funs\", \"TI\"] with the values of StyleBox[\"xvars\", \"TI\"] restricted by constraints StyleBox[\"cons\", \"TI\"].", - "FunctionSpace":"FunctionSpace is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations. ", - "FussellVeselyImportance":"RowBox[{\"FussellVeselyImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Fussell–Vesely importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"FussellVeselyImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the Fussell–Vesely importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", - "GaborFilter":"RowBox[{\"GaborFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by convolving with a Gabor kernel of pixel radius StyleBox[\"r\", \"TI\"] and wave vector StyleBox[\"k\", \"TI\"].\nRowBox[{\"GaborFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] uses a Gabor kernel with phase shift StyleBox[\"ϕ\", \"TR\"].\nRowBox[{RowBox[{\"GaborFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] uses a Gabor kernel with radius StyleBox[RowBox[{\"r\", \" \"}], \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].", - "GaborMatrix":"RowBox[{\"GaborMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a matrix that corresponds to the real part of a Gabor kernel of radius StyleBox[\"r\", \"TI\"] and wave vector StyleBox[\"k\", \"TI\"].\nRowBox[{\"GaborMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] uses phase shift StyleBox[\"ϕ\", \"TR\"].\nRowBox[{\"GaborMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses the specified standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaborMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array corresponding to a Gabor kernel with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", - "GaborWavelet":"RowBox[{\"GaborWavelet\", \"[\", \"]\"}] represents a Gabor wavelet of frequency 6.\nRowBox[{\"GaborWavelet\", \"[\", StyleBox[\"w\", \"TI\"], \"]\"}] represents a Gabor wavelet of frequency StyleBox[\"w\", \"TI\"].", - "GainMargins":"RowBox[{\"GainMargins\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the gain margins of the linear time-invariant system StyleBox[\"lsys\", \"TI\"].", - "GainPhaseMargins":"RowBox[{\"GainPhaseMargins\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the gain and phase margins of the linear time-invariant system StyleBox[\"lsys\", \"TI\"].", - "GalaxyData":"RowBox[{\"GalaxyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the galaxy StyleBox[\"entity\", \"TI\"].\nRowBox[{\"GalaxyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified galaxy entities.\nRowBox[{\"GalaxyData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "GalleryView":"RowBox[{\"GalleryView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] are displayed in a browsable gallery layout.\nRowBox[{\"GalleryView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses each of the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] to define the display of an item in the gallery.", - "Gamma":"RowBox[{\"Gamma\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] is the Euler gamma function RowBox[{\"Γ\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"Gamma\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the incomplete gamma function RowBox[{\"Γ\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \")\"}]. \nRowBox[{\"Gamma\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] is the generalized incomplete gamma function RowBox[{RowBox[{\"Γ\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"0\"]}], \")\"}], \"-\", RowBox[{\"Γ\", \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], \"1\"]}], \")\"}]}]. ", - "GammaDistribution":"RowBox[{\"GammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a gamma distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"GammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a generalized gamma distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"γ\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", - "GammaRegularized":"RowBox[{\"GammaRegularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized incomplete gamma function RowBox[{\"Q\", \"(\", RowBox[{\"a\", \",\", \"z\"}], \")\"}]. ", - "GapPenalty":"GapPenalty is an option for SequenceAlignment and related functions that gives the additional cost associated with each gap corresponding to a run of insertions or deletions.", - "GARCHProcess":"RowBox[{\"GARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a generalized autoregressive conditionally heteroscedastic process of orders StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"], driven by a standard white noise.\nRowBox[{\"GARCHProcess\", \"[\", RowBox[{StyleBox[\"κ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents a GARCH process with initial data StyleBox[\"init\", \"TI\"].", - "GatedRecurrentLayer":"RowBox[{\"GatedRecurrentLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable recurrent layer that takes a sequence of vectors and produces a sequence of vectors each of size StyleBox[\"n\", \"TI\"].\nRowBox[{\"GatedRecurrentLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial weights and other parameters. ", - "Gather":"RowBox[{\"Gather\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gathers the elements of StyleBox[\"list\", \"TI\"] into sublists of identical elements.\nRowBox[{\"Gather\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] applies StyleBox[\"test\", \"TI\"] to pairs of elements to determine if they should be considered identical.", - "GatherBy":"RowBox[{\"GatherBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gathers into sublists each set of elements in StyleBox[\"list\", \"TI\"] that gives the same value when StyleBox[\"f\", \"TI\"] is applied.\nRowBox[{\"GatherBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gathers StyleBox[\"list\", \"TI\"] into nested sublists using SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"]. ", - "GaugeFaceElementFunction":"GaugeFaceElementFunction is an option for gauge functions that gives a function to use to generate the primitives for rendering the gauge face.", - "GaugeFaceStyle":"GaugeFaceStyle is an option for gauge functions that specifies the style in which the face is to be drawn.", - "GaugeFrameElementFunction":"GaugeFrameElementFunction is an option for gauge functions that gives a function to generate the primitives for rendering the gauge frame.", - "GaugeFrameSize":"GaugeFrameSize is an option for gauge functions that controls the size of the frame around the gauge.", - "GaugeFrameStyle":"GaugeFrameStyle is an option for gauge functions that specifies the style in which the frame is to be drawn.", - "GaugeLabels":"GaugeLabels is an option for gauge functions that specifies labels to be placed on the gauge.", - "GaugeMarkers":"GaugeMarkers is an option for gauge functions that specifies what markers to draw to mark the values.", - "GaugeStyle":"GaugeStyle is an option for gauge functions that specifies styles in which the markers are to be drawn.", - "GaussianFilter":"RowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by convolving with a Gaussian kernel of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] convolves StyleBox[\"data\", \"TI\"] with a kernel formed from the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] derivatives of the discrete Gaussian.\nRowBox[{RowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] uses a Gaussian kernel with radius StyleBox[\"r\", \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in data.", - "GaussianIntegers":"GaussianIntegers is an option for FactorInteger, PrimeQ, Factor, and related functions that specifies whether factorization should be done over Gaussian integers. ", - "GaussianMatrix":"RowBox[{\"GaussianMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix that corresponds to a Gaussian kernel of radius StyleBox[\"r\", \"TI\"]. \nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \"]\"}] gives a matrix corresponding to a Gaussian kernel with radius StyleBox[\"r\", \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a matrix formed from the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative of the Gaussian with respect to rows and the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative with respect to columns.\nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a matrix formed from the sums of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]] derivatives.\nRowBox[{\"GaussianMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array corresponding to a Gaussian kernel with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", - "GaussianOrthogonalMatrixDistribution":"RowBox[{\"GaussianOrthogonalMatrixDistribution\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Gaussian orthogonal matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianOrthogonalMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Gaussian orthogonal matrix distribution with unit scale parameter.", - "GaussianSymplecticMatrixDistribution":"RowBox[{\"GaussianSymplecticMatrixDistribution\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Gaussian symplectic matrix distribution with matrix dimensions RowBox[{\"{\", RowBox[{StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"], \",\", StyleBox[RowBox[{\"2\", \" \", \"n\"}], \"TI\"]}], \"}\"}] over the field of complex numbers and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianSymplecticMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Gaussian symplectic matrix distribution with unit scale parameter.", - "GaussianUnitaryMatrixDistribution":"RowBox[{\"GaussianUnitaryMatrixDistribution\", \"[\", RowBox[{StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a Gaussian unitary matrix distribution with matrix dimensions RowBox[{\"{\", StyleBox[RowBox[{\"n\", \",\", \"n\"}], \"TI\"], \"}\"}] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GaussianUnitaryMatrixDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Gaussian unitary matrix distribution with unit scale parameter.", - "GaussianWindow":"RowBox[{\"GaussianWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Gaussian window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"GaussianWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] uses standard deviation StyleBox[\"σ\", \"TR\"].", - "GCD":"RowBox[{\"GCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the greatest common divisor of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "GegenbauerC":"RowBox[{\"GegenbauerC\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Gegenbauer polynomial RowBox[{SubsuperscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. \nRowBox[{\"GegenbauerC\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the renormalized form RowBox[{UnderscriptBox[\"lim\", RowBox[{StyleBox[\"m\", \"TI\"], \"\", \"0\"}], LimitsPositioning -> True], RowBox[{RowBox[{SubsuperscriptBox[StyleBox[\"C\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}], \"\/\", StyleBox[\"m\", \"TI\"]}]}]. ", - "General":"General is a symbol to which general system messages are attached. ", - "GeneralizedLinearModelFit":"RowBox[{\"GeneralizedLinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a generalized linear model of the form RowBox[{SuperscriptBox[StyleBox[\"g\", \"TI\"], RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}], StyleBox[\")\", \"TR\"]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, ….\nRowBox[{\"GeneralizedLinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a generalized linear model of the form RowBox[{SuperscriptBox[StyleBox[\"g\", \"TI\"], RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}], StyleBox[\")\", \"TR\"]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"GeneralizedLinearModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a generalized linear model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", - "GenerateAsymmetricKeyPair":"RowBox[{\"GenerateAsymmetricKeyPair\", \"[\", \"]\"}] randomly generates a PrivateKey and corresponding PublicKey object for use with public-key cryptographic functions.\nRowBox[{\"GenerateAsymmetricKeyPair\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] randomly generates private and public keys using the specified options.", - "GenerateConditions":"GenerateConditions is an option for Integrate, Sum, and similar functions that specifies whether explicit conditions on parameters should be generated in the result.", - "GeneratedCell":"GeneratedCell is an option for Cell that indicates whether the cell was generated from the kernel. ", - "GeneratedDocumentBinding":"GeneratedDocumentBinding is an option for supplying parameters to a DocumentGenerator during manual evaluation.", - "GenerateDocument":"RowBox[{\"GenerateDocument\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] generates a document by evaluating all template elements in the notebook StyleBox[\"nb\", \"TI\"].\nRowBox[{\"GenerateDocument\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] generates a document using StyleBox[\"args\", \"TI\"] to fill template slots.\nRowBox[{\"GenerateDocument\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] writes the generated document in the output file represented by StyleBox[\"output\", \"TI\"].\nRowBox[{\"GenerateDocument\", \"[\", RowBox[{StyleBox[\"nb\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"], \",\", StyleBox[\"output\", \"TI\"]}], \"]\"}] uses StyleBox[\"args\", \"TI\"] to fill template slots and puts the result in StyleBox[\"output\", \"TI\"].", - "GeneratedParameters":"GeneratedParameters is an option that specifies how parameters generated to represent the results of various symbolic operations should be named. ", - "GeneratedQuantityMagnitudes":"GeneratedQuantityMagnitudes is an option that specifies how quantities generated to represent the quantity multiplier results in NondimensionalizationTransform should be named.", - "GenerateHTTPResponse":"RowBox[{\"GenerateHTTPResponse\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the HTTPResponse object that is generated when a cloud object containing StyleBox[\"expr\", \"TI\"] is requested on the web.\nRowBox[{\"GenerateHTTPResponse\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"req\", \"TI\"]}], \"]\"}] gives the response for the HTTP request specified by StyleBox[\"req\", \"TI\"].", - "GenerateSecuredAuthenticationKey":"RowBox[{\"GenerateSecuredAuthenticationKey\", \"[\", \"]\"}] generates a new anonymous SecuredAuthenticationKey owned by the current user ID.\nRowBox[{\"GenerateSecuredAuthenticationKey\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a new SecuredAuthenticationKey with the specified name owned by the current user ID.\nRowBox[{\"GenerateSecuredAuthenticationKey\", \"[\", RowBox[{\"SecuredAuthenticationKey\", \"[\", \"...\", \"]\"}], \"]\"}] generates a new set of credentials for an existing SecuredAuthenticationKey.", - "GenerateSymmetricKey":"RowBox[{\"GenerateSymmetricKey\", \"[\", \"]\"}] randomly generates a SymmetricKey object suitable for use with cryptographic functions.\nRowBox[{\"GenerateSymmetricKey\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"password\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a SymmetricKey object from the password string given.\nRowBox[{\"GenerateSymmetricKey\", \"[\", StyleBox[\"opts\", \"TI\"], \"]\"}] randomly generates a symmetric key using the specified options.", - "GeneratingFunction":"RowBox[{\"GeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the generating function in StyleBox[\"x\", \"TI\"] for the sequence whose StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] series coefficient is given by the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"GeneratingFunction\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional generating function in SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] whose SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] coefficient is given by StyleBox[\"expr\", \"TI\"].", - "GeneratorDescription":"GeneratorDescription is an option for providing a textual description for a DocumentGenerator.", - "GeneratorHistoryLength":"GeneratorHistoryLength is an option for document generators controlling the number of runs archived in the cloud.", - "GeneratorOutputType":"GeneratorOutputType is an option controlling the file format of documents produced by a DocumentGenerator.", - "Generic":"Generic is a setting for the Mode option of Solve and related functions.", - "GenericCylindricalDecomposition":"RowBox[{\"GenericCylindricalDecomposition\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds the full-dimensional part of the decomposition of the region represented by the inequalities StyleBox[\"ineqs\", \"TI\"] into cylindrical parts whose directions correspond to the successive SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], together with any hypersurfaces containing the rest of the region.", - "GenomeData":"RowBox[{\"GenomeData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gene\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the DNA sequence for the specified gene on the reference human genome.\nRowBox[{\"GenomeData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gene\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the human gene StyleBox[\"gene\", \"TI\"].\nRowBox[{\"GenomeData\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"chr\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \"]\"}] gives the sequence from positions SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] on chromosome StyleBox[\"chr\", \"TI\"] in the reference human genome.", - "GenomeLookup":"RowBox[{\"GenomeLookup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"seq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns the positions of exact matches for the DNA sequence StyleBox[\"seq\", \"TI\"] on the reference human genome.\nRowBox[{\"GenomeLookup\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"seq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns at most StyleBox[\"n\", \"TI\"] matches.", - "GeoAntipode":"RowBox[{\"GeoAntipode\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the antipodal position of location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoAntipode\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the antipodal primitive of the geo primitive StyleBox[\"g\", \"TI\"].", - "GeoArea":"RowBox[{\"GeoArea\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the area of the geo region StyleBox[\"g\", \"TI\"].", - "GeoBackground":"GeoBackground is an option that specifies the background style of a GeoGraphics object.", - "GeoBoundingBox":"RowBox[{GeoBoundingBox, \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the geo positions that define the bounding rectangle enclosing the geo region StyleBox[\"g\", \"TI\"].\nRowBox[{GeoBoundingBox, \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the region on all sides by an amount StyleBox[\"δ\", \"TR\"].\nRowBox[{GeoBoundingBox, \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads by a fractional amount StyleBox[\"s\", \"TI\"].", - "GeoBounds":"RowBox[{\"GeoBounds\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the ranges of latitudes and longitudes in the geo region StyleBox[\"g\", \"TI\"].\nRowBox[{\"GeoBounds\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads ranges of latitudes and longitudes by RowBox[{\"±\", StyleBox[\"δ\", \"TR\"]}].\nRowBox[{\"GeoBounds\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] pads range of latitudes and longitudes by a scaled amount StyleBox[\"s\", \"TI\"].", - "GeoBoundsRegion":"RowBox[{\"GeoBoundsRegion\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}], \"]\"}] is a two-dimensional GeoGraphics primitive that represents a geo region bounded by parallels SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"min\", \"TI\"]], SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"max\", \"TI\"]] and meridians SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"min\", \"TI\"]], SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"max\", \"TI\"]] on the surface of the Earth.\nRowBox[{\"GeoBoundsRegion\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] represents the latitude-longitude bounding box of the geo region StyleBox[\"g\", \"TI\"].\nRowBox[{\"GeoBoundsRegion\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] pads the ranges of latitudes and longitudes by RowBox[{\"±\", StyleBox[\"δ\", \"TR\"]}].", - "GeoBubbleChart":"RowBox[{\"GeoBubbleChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a geo bubble chart with bubbles centered at the geographic regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]] with sizes SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoBubbleChart\", \"[\", RowBox[{StyleBox[\"regions\", \"TI\"], \"\", StyleBox[\"values\", \"TI\"]}], \"]\"}] uses a collection of regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"regions\", \"TI\"] with corresponding sizes SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"values\", \"TI\"].\nRowBox[{\"GeoBubbleChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoBubbleChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", - "GeoCenter":"GeoCenter is an option for GeoGraphics that specifies the coordinates of the point that should appear at the geographic center of the final map.", - "GeoCircle":"RowBox[{\"GeoCircle\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] is a two-dimensional GeoGraphics primitive that represents a circle of radius StyleBox[\"r\", \"TI\"] centered at the location StyleBox[\"loc\", \"TI\"] on the surface of the Earth.\nRowBox[{\"GeoCircle\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a sector of a circle from bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]] to bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "GeodesicClosing":"RowBox[{\"GeodesicClosing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the geodesic closing of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"GeodesicClosing\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the geodesic closing with respect to a range StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"GeodesicClosing\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies geodesic closing to an array of data.", - "GeodesicDilation":"RowBox[{\"GeodesicDilation\", \"[\", RowBox[{StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"mask\", \"TI\"]}], \"]\"}] gives the fixed point of the geodesic dilation of the StyleBox[\"marker\", \"TI\"] constrained by the StyleBox[\"mask\", \"TI\"].", - "GeodesicErosion":"RowBox[{\"GeodesicErosion\", \"[\", RowBox[{StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"mask\", \"TI\"]}], \"]\"}] gives the fixed point of the geodesic erosion of the StyleBox[\"marker\", \"TI\"] constrained by the StyleBox[\"mask\", \"TI\"].", - "GeodesicOpening":"RowBox[{\"GeodesicOpening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the geodesic opening of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"GeodesicOpening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the geodesic opening with respect to a range StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"GeodesicOpening\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies geodesic opening to an array of data.", - "GeoDestination":"RowBox[{\"GeoDestination\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the end position of the geodesic of length StyleBox[\"d\", \"TI\"] starting from StyleBox[\"loc\", \"TI\"] with azimuthal direction StyleBox[\"α\", \"TR\"].", - "GeodesyData":"RowBox[{\"GeodesyData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for a named geodetic datum or reference ellipsoid.\nRowBox[{\"GeodesyData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the property for the ellipsoid with semimajor axis StyleBox[\"a\", \"TI\"] and semiminor axis StyleBox[\"b\", \"TI\"].\nRowBox[{\"GeodesyData\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"coords\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the value of the property at the specified coordinates.", - "GeoDirection":"RowBox[{\"GeoDirection\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the azimuthal direction from one latitude-longitude position on the Earth to another.\nRowBox[{\"GeoDirection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the azimuthal direction between locations specified by position objects or geographic entities.", - "GeoDisk":"RowBox[{RowBox[{\"GeoDisk\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}], \" \"}] is a two-dimensional GeoGraphics primitive that represents a filled disk of radius StyleBox[\"r\", \"TI\"] centered at the location StyleBox[\"loc\", \"TI\"] on the surface of the Earth.\nRowBox[{\"GeoDisk\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a sector of a disk from bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]] to bearing SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "GeoDisplacement":"RowBox[{\"GeoDisplacement\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \"]\"}] represents a geodesic displacement of length StyleBox[\"dist\", \"TI\"] and initial bearing StyleBox[\"α\", \"TR\"] from a geo location.\nRowBox[{\"GeoDisplacement\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a displacement of length StyleBox[\"dist\", \"TI\"] and initial bearing StyleBox[\"α\", \"TR\"] along a path of type StyleBox[\"pathtype\", \"TI\"].\nRowBox[{\"GeoDisplacement\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] returns the displacement needed to reach SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]] from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] along a path of type StyleBox[\"pathtype\", \"TI\"].", - "GeoDistance":"RowBox[{\"GeoDistance\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the geodesic distance between latitude-longitude positions on the Earth.\nRowBox[{\"GeoDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the distance between locations specified by position objects or geographical entities.\nRowBox[{\"GeoDistance\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the total distance from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]] through all the intermediate SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "GeoDistanceList":"RowBox[{\"GeoDistanceList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] returns the list of geodesic distances between consecutive pairs of locations.", - "GeoElevationData":"RowBox[{\"GeoElevationData\", \"[\", \"]\"}] gives the elevation above sea level at $GeoLocation.\nRowBox[{\"GeoElevationData\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the elevation at the geographic location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] gives an array of elevation values within the bounding box given by RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{\"GeoPosition\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \"]\"}] gives the list of elevations at the positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"]}], \"]\"}] gives the elevation of type StyleBox[\"etype\", \"TI\"] for the location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoElevationData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] gives the elevation in the specified format.", - "GeoEntities":"RowBox[{\"GeoEntities\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"enttype\", \"TI\"]}], \"]\"}] gives a list of the geographic entities of type StyleBox[\"enttype\", \"TI\"] contained in the extended region StyleBox[\"reg\", \"TI\"].", - "GeoGraphics":"RowBox[{\"GeoGraphics\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a two-dimensional geographical image.", - "GeogravityModelData":"RowBox[{\"GeogravityModelData\", \"[\", \"]\"}] returns the gravitational field data for the current location.\nRowBox[{\"GeogravityModelData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] returns the gravitational field data for a location.\nRowBox[{\"GeogravityModelData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"component\", \"TI\"]}], \"]\"}] returns the component of the gravitational field.", - "GeoGridLines":"GeoGridLines is an option for GeoGraphics that specifies what parallels and meridians to show.", - "GeoGridLinesStyle":"GeoGridLinesStyle is an option for GeoGraphics that specifies how parallels and meridians should be rendered.", - "GeoGridPosition":"RowBox[{\"GeoGridPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"proj\", \"TI\"]}], \"]\"}] represents a point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in a planimetric cartographic grid using the projection StyleBox[\"proj\", \"TI\"].\nRowBox[{\"GeoGridPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"proj\", \"TI\"]}], \"]\"}] represents a point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}] in a cartographic grid with height StyleBox[\"h\", \"TI\"] with respect to the reference ellipsoid.\nRowBox[{\"GeoGridPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"proj\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents a point in a cartographic grid obtained by projection from data in the given datum.", - "GeoGroup":"RowBox[{\"GeoGroup\", \"[\", StyleBox[\"geoobjects\", \"TI\"], \"]\"}] represents a list of geographic objects to be treated as a single object for certain operations.", - "GeoHemisphere":"RowBox[{\"GeoHemisphere\", \"[\", \"]\"}] is a two-dimensional GeoGraphics primitive that represents the half of the Earth centered at your current geo location.\nRowBox[{\"GeoHemisphere\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] represents the half of the Earth centered at the location StyleBox[\"loc\", \"TI\"].", - "GeoHemisphereBoundary":"RowBox[{\"GeoHemisphereBoundary\", \"[\", \"]\"}] is a one-dimensional GeoGraphics primitive that represents the boundary line of a hemisphere of the Earth centered at the current geo location.\nRowBox[{\"GeoHemisphereBoundary\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] represents the boundary line of a hemisphere centered at the location StyleBox[\"loc\", \"TI\"].", - "GeoHistogram":"RowBox[{\"GeoHistogram\", \"[\", StyleBox[\"locs\", \"TI\"], \"]\"}] plots a density histogram of the geographic locations StyleBox[\"locs\", \"TI\"].\nRowBox[{\"GeoHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a density histogram with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"GeoHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a density histogram with bin densities computed according to the specification StyleBox[\"hspec\", \"TI\"].", - "GeoIdentify":"RowBox[{\"GeoIdentify\", \"[\", StyleBox[\"enttype\", \"TI\"], \"]\"}] identifies the geographic entities of the type StyleBox[\"enttype\", \"TI\"] in which the current geo location is contained.\nRowBox[{\"GeoIdentify\", \"[\", RowBox[{StyleBox[\"enttype\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] identifies the entities in which the location StyleBox[\"loc\", \"TI\"] is contained.\nRowBox[{\"GeoIdentify\", \"[\", \"]\"}] identifies the entities of any type in which the current geo location is contained.", - "GeoImage":"RowBox[{\"GeoImage\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a satellite image of the geo region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"GeoImage\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"mapstyle\", \"TI\"]}], \"]\"}] gives an image of the geo region StyleBox[\"reg\", \"TI\"] with style StyleBox[\"mapstyle\", \"TI\"].", - "GeoLabels":"GeoLabels is an option for GeoListPlot and GeoRegionValuePlot that specifies whether and how to add labels to the locations in the first argument.", - "GeoLength":"RowBox[{\"GeoLength\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the length of the geo path StyleBox[\"g\", \"TI\"].", - "GeoListPlot":"RowBox[{\"GeoListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a map on which the locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]] are indicated.\nRowBox[{RowBox[{\"GeoListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \" \"}] generates a map showing several lists of locations.", - "GeoLocation":"GeoLocation is an option for Interpreter and related functions that specifies the location to assume for semantic interpretation.", - "GeologicalPeriodData":"RowBox[{\"GeologicalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the geological period StyleBox[\"entity\", \"TI\"].\nRowBox[{\"GeologicalPeriodData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified period name entities.\nRowBox[{\"GeologicalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "GeomagneticModelData":"RowBox[{\"GeomagneticModelData\", \"[\", \"]\"}] returns the current magnetic field data for the current location.\nRowBox[{\"GeomagneticModelData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] returns the current magnetic field data for a location.\nRowBox[{\"GeomagneticModelData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] returns the magnetic field data for the specified time for the current location.\nRowBox[{\"GeomagneticModelData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] returns the magnetic field data for the specified time and location.\nRowBox[{\"GeomagneticModelData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"component\", \"TI\"]}], \"]\"}] returns the component of the magnetic field for the specified time and location.", - "GeoMarker":"RowBox[{\"GeoMarker\", \"[\", \"]\"}] is a GeoGraphics primitive that represents a marker at the current $GeoLocation.\nRowBox[{\"GeoMarker\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] is a GeoGraphics primitive that represents a marker at the location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoMarker\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a GeoGraphics primitive that represents markers at locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoMarker\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] is a GeoGraphics primitive that represents a custom marker at the location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoMarker\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] is a GeoGraphics primitive that represents custom markers at locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "GeometricBrownianMotionProcess":"RowBox[{\"GeometricBrownianMotionProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a geometric Brownian motion process with drift StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and initial value SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "GeometricDistribution":"RowBox[{\"GeometricDistribution\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a geometric distribution with probability parameter StyleBox[\"p\", \"TI\"]. ", - "GeometricMean":"RowBox[{\"GeometricMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the geometric mean of the values in StyleBox[\"list\", \"TI\"].", - "GeometricMeanFilter":"RowBox[{\"GeometricMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the geometric mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"GeometricMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "GeometricTransformation":"RowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"tfun\", \"TI\"]}], \"]\"}] represents the result of applying the transformation function StyleBox[\"tfun\", \"TI\"] to the geometric objects corresponding to the primitives StyleBox[\"g\", \"TI\"].\nRowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] transforms geometric objects in StyleBox[\"g\", \"TI\"] by effectively replacing every point StyleBox[\"r\", \"TI\"] by RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}]. \nRowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] effectively replaces every point StyleBox[\"r\", \"TI\"] by RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"v\", \"TI\"]}].\nRowBox[{\"GeometricTransformation\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents multiple copies of StyleBox[\"g\", \"TI\"] transformed by a collection of transformations.", - "GeometricTransformation3DBoxOptions":"RowBox[{GeometricTransformation3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GeometricTransformation3DBox objects.", - "GeometricTransformationBoxOptions":"RowBox[{GeometricTransformationBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GeometricTransformationBox objects.", - "GeoModel":"GeoModel is an option for GeoGraphics that specifies the reference body or model for it for the purposes of geodetic computations and map drawing.", - "GeoNearest":"RowBox[{\"GeoNearest\", \"[\", RowBox[{StyleBox[\"enttype\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the geographic entity of type StyleBox[\"enttype\", \"TI\"] closest to the geo location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the nearest of the SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"}\"}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the nearest SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns the same result.\nRowBox[{\"GeoNearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", \"Automatic\"}], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] takes the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to be successive integers StyleBox[\"i\", \"TI\"]. \nRowBox[{\"GeoNearest\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns StyleBox[\"n\", \"TI\"] nearest values.\nRowBox[{\"GeoNearest\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] matches within a radius StyleBox[\"r\", \"TI\"] of StyleBox[\"loc\", \"TI\"].", - "GeoPath":"RowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] is a GeoGraphics primitive that represents a path of type StyleBox[\"pathtype\", \"TI\"] between locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a path formed by joining paths of type StyleBox[\"pathtype\", \"TI\"] between consecutive locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a path moving from location SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] a distance StyleBox[\"d\", \"TI\"] with initial bearing StyleBox[\"α\", \"TR\"].\nRowBox[{\"GeoPath\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pathtype\", \"TI\"]}], \"]\"}] represents a disjoint collection of paths of type StyleBox[\"pathtype\", \"TI\"].", - "GeoPosition":"RowBox[{\"GeoPosition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"]}], \"}\"}], \"]\"}] represents a geodetic position with latitude StyleBox[\"lat\", \"TI\"] and longitude StyleBox[\"lon\", \"TI\"].\nRowBox[{\"GeoPosition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] represents a geodetic position with height StyleBox[\"h\", \"TI\"] relative to the reference ellipsoid.\nRowBox[{\"GeoPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents a geodetic position referring to the specified datum.\nRowBox[{\"GeoPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lat\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lon\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents an array of geodetic positions.\nRowBox[{\"GeoPosition\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] returns the geodetic position of the specified geographical entity.", - "GeoPositionENU":"RowBox[{RowBox[{\"GeoPositionENU\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"east\", \"TI\"], \",\", StyleBox[\"north\", \"TI\"], \",\", StyleBox[\"up\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}], \" \"}] represents a position with local Cartesian coordinates RowBox[{\"{\", RowBox[{StyleBox[\"east\", \"TI\"], \",\", StyleBox[\"north\", \"TI\"], \",\", StyleBox[\"up\", \"TI\"]}], \"}\"}] in a reference system centered at the position StyleBox[\"p\", \"TI\"].\nRowBox[{\"GeoPositionENU\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents an array of positions.\nRowBox[{\"GeoPositionENU\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] returns the Cartesian position with respect to StyleBox[\"p\", \"TI\"] of the specified geographical entity.", - "GeoPositionXYZ":"RowBox[{\"GeoPositionXYZ\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"]\"}] represents a position in a Cartesian geocentric coordinate system.\nRowBox[{\"GeoPositionXYZ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents a point referred to the specified datum.\nRowBox[{\"GeoPositionXYZ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] represents an array of points in a Cartesian geocentric coordinate system.\nRowBox[{\"GeoPositionXYZ\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] returns the Cartesian geocentric position of the given geographical entity.", - "GeoProjection":"GeoProjection is an option for GeoGraphics that specifies the cartographic projection to use for the map.", - "GeoProjectionData":"RowBox[{\"GeoProjectionData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"projection\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the specified cartographic projection.\nRowBox[{\"GeoProjectionData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"projection\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the complete options for the default form of the specified projection.", - "GeoRange":"GeoRange is an option for GeoGraphics and GeoStyling that specifies the range of latitude and longitude to include. ", - "GeoRangePadding":"GeoRangePadding is an option for GeoGraphics that specifies what padding to use when extending beyond the original ranges of latitude and longitude.", - "GeoRegionValuePlot":"RowBox[{\"GeoRegionValuePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a plot in which the geographic regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"i\", \"TI\"]] are colored according to the values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"GeoRegionValuePlot\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \"]\"}] generates a plot in which the geographic subdivisions of StyleBox[\"reg\", \"TI\"] are colored according to the values RowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}].\nRowBox[{\"GeoRegionValuePlot\", \"[\", RowBox[{StyleBox[\"entityclass\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \"]\"}] generates a plot in which the geographic regions in StyleBox[\"entityclass\", \"TI\"] are colored according to the values RowBox[{\"EntityValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}].", - "GeoScaleBar":"GeoScaleBar is an option for GeoGraphics that determines what scale to show on the map.", - "GeoServer":"GeoServer is an option for GeoGraphics, GeoStyling and GeoImage that specifies the URL address of a geo server and connection parameters to download map tiles and geo elevation data.", - "GeoSmoothHistogram":"RowBox[{\"GeoSmoothHistogram\", \"[\", StyleBox[\"locs\", \"TI\"], \"]\"}] plots a smooth kernel histogram of the geo locations StyleBox[\"locs\", \"TI\"].\nRowBox[{\"GeoSmoothHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"GeoSmoothHistogram\", \"[\", RowBox[{StyleBox[\"locs\", \"TI\"], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"].", - "GeoStyling":"RowBox[{\"GeoStyling\", \"[\", StyleBox[\"mapstyle\", \"TI\"], \"]\"}] displays faces of polygons and other filled geo objects using StyleBox[\"mapstyle\", \"TI\"].\nRowBox[{\"GeoStyling\", \"[\", RowBox[{StyleBox[\"mapstyle\", \"TI\"], \",\", StyleBox[\"directive\", \"TI\"]}], \"]\"}] uses StyleBox[\"mapstyle\", \"TI\"]StyleBox[\" \", \"TI\"]with the given graphics StyleBox[\"directive\", \"TI\"]StyleBox[\" \", \"TI\"]applied.", - "GeoStylingImageFunction":"GeoStylingImageFunction is an option for specifying an image effect to apply to a geo style.", - "GeoVariant":"RowBox[{\"GeoVariant\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"qual\", \"TI\"]}], \"]\"}] represents a geographic object StyleBox[\"obj\", \"TI\"] with qualifier StyleBox[\"qual\", \"TI\"].", - "GeoVisibleRegion":"RowBox[{\"GeoVisibleRegion\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] is a two-dimensional GeoGraphics primitive that represents the region on the surface of the Earth visible from the point of coordinates RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"]}] and height StyleBox[\"h\", \"TI\"] above the reference ellipsoid.\nRowBox[{\"GeoVisibleRegion\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents the region visible from the position StyleBox[\"pos\", \"TI\"].", - "GeoVisibleRegionBoundary":"RowBox[{\"GeoVisibleRegionBoundary\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] is a one-dimensional GeoGraphics primitive that represents the boundary of the region on the surface of the Earth visible from the point of coordinates RowBox[{StyleBox[\"lat\", \"TI\"], \",\", StyleBox[\"lon\", \"TI\"]}] and height StyleBox[\"h\", \"TI\"] above the reference ellipsoid.\nRowBox[{\"GeoVisibleRegionBoundary\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] represents the boundary of the region visible from the position StyleBox[\"pos\", \"TI\"].", - "GeoWithinQ":"RowBox[{\"GeoWithinQ\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] returns True if the location StyleBox[\"loc\", \"TI\"] is contained within the region StyleBox[\"reg\", \"TI\"], and False otherwise.\nRowBox[{\"GeoWithinQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] represents an operator form of GeoWithinQ that can be applied to a location.", - "GeoZoomLevel":"GeoZoomLevel is an option for specifying the resolution at which to render a map.", - "GestureHandler":"RowBox[{RowBox[{\"GestureHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"gesture\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"gesture\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}]}]}]}], \"]\"}] displays as StyleBox[\"expr\", \"TI\"], evaluating RowBox[{SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"velocity\", \"TI\"]}], \"]\"}] whenever \"SubscriptBox[\nStyleBox[\"gesture\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\" occurs within the screen space occupied by StyleBox[\"expr\", \"TI\"].\nRowBox[{\"GestureHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gesture\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"fun\", \"TI\"], \",\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"fun\", \"TI\"] as updates are received for \"\nStyleBox[\"gesture\", \"TI\"]\", followed by RowBox[{SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"end\", \"TI\"]], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"velocity\", \"TI\"]}], \"]\"}] when the gesture ends.\nRowBox[{\"GestureHandler\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"gesture\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"start\", \"TI\"]], \",\", StyleBox[\"fun\", \"TI\"], \",\", SubscriptBox[StyleBox[\"fun\", \"TI\"], StyleBox[\"end\", \"TI\"]]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also evaluates RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"start\", \"TI\"]], \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"velocity\", \"TI\"]}], \"]\"}] when \"\nStyleBox[\"gesture\", \"TI\"]\" begins.", - "Get":"RowBox[{\"<<\", StyleBox[\"name\", \"TI\"]}] reads in a file, evaluating each expression in it and returning the last one. \nRowBox[{\"Get\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads from a stream, evaluating each expression in it and returning the last one.", - "GetContext":"RowBox[{\"GetContext\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] loads the file named by RowBox[{\"ContextToFileName\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], which gives the conventional filename for a package that defines \"\nStyleBox[\"context`\", \"TI\"]\".", - "GetEnvironment":"RowBox[{\"GetEnvironment\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the setting corresponding to the variable \"\nStyleBox[\"var\", \"TI\"]\" in the operating system environment.\nRowBox[{\"GetEnvironment\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of rules, corresponding to specified environment variables.\nRowBox[{\"GetEnvironment\", \"[\", \"]\"}] gives information about all existing settings in the operating system environment.", - "Glaisher":"Glaisher is Glaisher's constant with numerical value RowBox[{\"≃\", \"1.28243\"}]. ", - "GlobalClusteringCoefficient":"RowBox[{\"GlobalClusteringCoefficient\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the global clustering coefficient of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GlobalClusteringCoefficient\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "Glow":"RowBox[{\"Glow\", \"[\", StyleBox[\"col\", \"TI\"], \"]\"}] is a graphics directive which specifies that surfaces of 3D graphics objects that follow are to be taken to glow with color StyleBox[\"col\", \"TI\"]. \nRowBox[{\"Glow\", \"[\", \"]\"}] specifies that there is no glow. ", - "GoldenAngle":"GoldenAngle is the golden angle RowBox[{RowBox[{\"(\", RowBox[{\"3\", \"-\", SqrtBox[\"5\"]}], \")\"}], \" \", \"π\"}], with numerical value RowBox[{\"≃\", RowBox[{\"137.5\", \"°\"}]}].", - "GoldenRatio":"GoldenRatio is the golden ratio RowBox[{\"ϕ\", \"\", RowBox[{FractionBox[\"1\", \"2\"], \" \", RowBox[{\"(\", RowBox[{SqrtBox[\"5\"], \"+\", \"1\"}], \")\"}]}]}], with numerical value RowBox[{\"≃\", \"1.61803\"}].", - "GompertzMakehamDistribution":"RowBox[{\"GompertzMakehamDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a Gompertz distribution with scale parameter StyleBox[\"λ\", \"TR\"] and frailty parameter StyleBox[\"ξ\", \"TR\"].\nRowBox[{\"GompertzMakehamDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] represents a Gompertz–Makeham distribution with parameters StyleBox[\"λ\", \"TR\"], StyleBox[\"ξ\", \"TR\"], StyleBox[\"θ\", \"TR\"], and StyleBox[\"α\", \"TR\"].", - "GoodmanKruskalGamma":"RowBox[{\"GoodmanKruskalGamma\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the Goodman–Kruskal γ coefficient for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Goodman–Kruskal γ coefficients for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the Goodman–Kruskal γ coefficients for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the γ coefficient matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"GoodmanKruskalGamma\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] γ coefficient for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", - "GoodmanKruskalGammaTest":"RowBox[{\"GoodmanKruskalGammaTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"GoodmanKruskalGammaTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"MR\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Goto":"RowBox[{\"Goto\", \"[\", StyleBox[\"tag\", \"TI\"], \"]\"}] scans for RowBox[{\"Label\", \"[\", StyleBox[\"tag\", \"TI\"], \"]\"}], and transfers control to that point. ", - "Grad":"RowBox[{\"Grad\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the gradient RowBox[{\"(\", RowBox[{RowBox[{RowBox[{\"∂\", StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"]}]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"∂\", StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}]}], \")\"}].\nRowBox[{\"Grad\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the gradient in the coordinates StyleBox[\"chart\", \"TI\"].", - "Gradient":"Gradient is an option for FindMinimum and related functions that specifies the gradient vector to assume for the function being extremized.", - "GradientFilter":"RowBox[{\"GradientFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the magnitude of the gradient of StyleBox[\"data\", \"TI\"], computed using discrete derivatives of a Gaussian of sample radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"GradientFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a Gaussian with standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"GradientFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a Gaussian with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in StyleBox[\"data\", \"TI\"].", - "GradientOrientationFilter":"RowBox[{\"GradientOrientationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the local orientation parallel to the gradient of StyleBox[\"data\", \"TI\"], computed using discrete derivatives of a Gaussian of pixel radius StyleBox[\"r\", \"TI\"], returning values between RowBox[{RowBox[{\"-\", \"π\"}], \"\/\", \"2\"}] and RowBox[{\"π\", \"\/\", \"2\"}].\nRowBox[{\"GradientOrientationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a Gaussian with standard deviation StyleBox[\"σ\", \"TR\"].", - "GrammarApply":"RowBox[{\"GrammarApply\", \"[\", RowBox[{StyleBox[\"grammar\", \"TI\"], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] attempts to parse StyleBox[\"input\", \"TI\"] according to the grammar defined by StyleBox[\"grammar\", \"TI\"].", - "GrammarRules":"RowBox[{\"GrammarRules\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents grammar rules to be deployed to a cloud object that implements the grammar in a form suitable for use with functions like GrammarApply and Interpreter.\nRowBox[{\"GrammarRules\", \"[\", RowBox[{StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"defs\", \"TI\"]}], \"]\"}] uses grammar definitions StyleBox[\"defs\", \"TI\"].", - "GrammarToken":"RowBox[{\"GrammarToken\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] is a grammar rules pattern object that represents any input of the specified form. ", - "Graph":"RowBox[{\"Graph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a graph with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"Graph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]]. \nRowBox[{\"Graph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a graph with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].", - "Graph3D":"RowBox[{\"Graph3D\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] creates a graph with vertices and edges from the graph StyleBox[\"g\", \"TI\"] and represented as a 3D plot.\nRowBox[{\"Graph3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a graph with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]] and represented as a 3D plot.\nRowBox[{\"Graph3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]]. ", - "GraphAssortativity":"RowBox[{\"GraphAssortativity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the assortativity coefficient of a graph StyleBox[\"g\", \"TI\"] using vertex degrees.\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the assortativity coefficient of the graph StyleBox[\"g\", \"TI\"] using vertex property \"\nStyleBox[\"prop\", \"TI\"]\".\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"1\", \"TR\"]}]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the assortativity coefficient of the graph StyleBox[\"g\", \"TI\"] with respect to the vertex partition RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"1\", \"TR\"]}]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"\", \"TR\"], StyleBox[\"2\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] gives the assortativity coefficient of the graph StyleBox[\"g\", \"TI\"] using data RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for vertices RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"GraphAssortativity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "GraphAutomorphismGroup":"RowBox[{\"GraphAutomorphismGroup\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the automorphism group of a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphAutomorphismGroup\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphCenter":"RowBox[{\"GraphCenter\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the set of vertices with minimum eccentricity in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphCenter\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphComplement":"RowBox[{\"GraphComplement\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the graph complement of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphComplement\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphData":"RowBox[{\"GraphData\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives a graph with the specified name.\nRowBox[{\"GraphData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value for the specified property for a named graph.\nRowBox[{\"GraphData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of available named graphs in the specified class.\nRowBox[{\"GraphData\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of available named graphs with StyleBox[\"n\", \"TI\"] vertices.", - "GraphDensity":"RowBox[{\"GraphDensity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the graph density of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDensity\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphDiameter":"RowBox[{\"GraphDiameter\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the greatest distance between any pair of vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDiameter\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphDifference":"RowBox[{\"GraphDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph difference of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphDifference\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphDisjointUnion":"RowBox[{\"GraphDisjointUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph disjoint union of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphDisjointUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the disjoint union of SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"GraphDisjointUnion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphDistance":"RowBox[{\"GraphDistance\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the distance from source vertex StyleBox[\"s\", \"TI\"] to target vertex StyleBox[\"t\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistance\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the distance from StyleBox[\"s\", \"TI\"] to all vertices of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistance\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphDistanceMatrix":"RowBox[{\"GraphDistanceMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the matrix of distances between vertices for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistanceMatrix\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the matrix of distances between vertices of maximal distance StyleBox[\"d\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphDistanceMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphEmbedding":"RowBox[{\"GraphEmbedding\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives coordinates of the vertices of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphEmbedding\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"emb\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives coordinates of the vertices of the graph StyleBox[\"g\", \"TI\"] using the embedding \"\nStyleBox[\"emb\", \"TI\"]\".\nRowBox[{\"GraphEmbedding\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"emb\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"dim\", \"TI\"]}], \"]\"}] gives coordinates in dimension StyleBox[\"dim\", \"TI\"] of the vertices of the graph StyleBox[\"g\", \"TI\"] using the embedding \"\nStyleBox[\"emb\", \"TI\"]\".", - "GraphHighlight":"GraphHighlight is an option to Graph and related objects that specifies graph elements to highlight. ", - "GraphHighlightStyle":"GraphHighlightStyle is an option to Graph and related objects that specifies styles to use for highlighted graph elements. ", - "GraphHub":"RowBox[{\"GraphHub\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the set of vertices with maximum vertex degree in the underlying simple graph of StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphHub\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the set of vertices with maximum vertex in-degree.\nRowBox[{\"GraphHub\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the set of vertices with maximum vertex out-degree.\nRowBox[{\"GraphHub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "Graphics":"RowBox[{\"Graphics\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a two-dimensional graphical image. ", - "Graphics3D":"RowBox[{\"Graphics3D\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents a three-dimensional graphical image. ", - "Graphics3DBoxOptions":"RowBox[{Graphics3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Graphics3DBox objects.", - "GraphicsArray":"RowBox[{\"GraphicsArray\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a row of graphics objects.\nRowBox[{\"GraphicsArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a two-dimensional array of graphical objects.", - "GraphicsBoxOptions":"RowBox[{GraphicsBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsBox objects.", - "GraphicsColumn":"RowBox[{\"GraphicsColumn\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a graphic in which the SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] are laid out in a column, with SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] above SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. \nRowBox[{\"GraphicsColumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"]}], \"]\"}] aligns each element horizontally in the specified way. \nRowBox[{\"GraphicsColumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"alignment\", \"TI\"], \",\", StyleBox[\"spacing\", \"TI\"]}], \"]\"}] leaves the specified spacing between successive elements.", - "GraphicsComplex":"RowBox[{\"GraphicsComplex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a graphics complex in which coordinates given as integers StyleBox[\"i\", \"TI\"] in graphics primitives in StyleBox[\"data\", \"TI\"] are taken to be SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "GraphicsComplex3DBoxOptions":"RowBox[{GraphicsComplex3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsComplex3DBox objects.", - "GraphicsComplexBoxOptions":"RowBox[{GraphicsComplexBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsComplexBox objects.", - "GraphicsGrid":"RowBox[{\"GraphicsGrid\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a graphic in which the SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"ij\", \"TI\"]] are laid out in a two-dimensional grid.", - "GraphicsGroup":"RowBox[{\"GraphicsGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of graphics objects grouped together for purposes of interactive selection in a notebook. ", - "GraphicsGroup3DBoxOptions":"RowBox[{GraphicsGroup3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsGroup3DBox objects.", - "GraphicsGroupBoxOptions":"RowBox[{GraphicsGroupBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for GraphicsGroupBox objects.", - "GraphicsRow":"RowBox[{\"GraphicsRow\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a graphic in which the SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] are laid out in a row.\nRowBox[{\"GraphicsRow\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"spacing\", \"TI\"]}], \"]\"}] leaves the specified spacing between successive elements.", - "GraphicsSpacing":"GraphicsSpacing is an option for GraphicsArray that specifies the spacing between elements in the array. ", - "GraphIntersection":"RowBox[{\"GraphIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph intersection of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the graph intersection of SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"GraphIntersection\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphLayout":"GraphLayout is an option to Graph and related functions that specifies what layout to use.", - "GraphLinkEfficiency":"RowBox[{\"GraphLinkEfficiency\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the link efficiency of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphLinkEfficiency\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphPeriphery":"RowBox[{\"GraphPeriphery\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives vertices that are maximally distant to at least one vertex in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPeriphery\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphPlot":"RowBox[{\"GraphPlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"GraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"GraphPlot\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a plot of the graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", - "GraphPlot3D":"RowBox[{\"GraphPlot3D\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a 3D plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a 3D plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"GraphPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"GraphPlot3D\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a plot of the graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", - "GraphPower":"RowBox[{\"GraphPower\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph-StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] power of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphPower\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphPropertyDistribution":"RowBox[{\"GraphPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"gdist\", \"TI\"]}]}], \"]\"}] represents the distribution of the property StyleBox[\"expr\", \"TI\"] where the random variable StyleBox[\"x\", \"TI\"] follows the graph distribution StyleBox[\"gdist\", \"TI\"].\nRowBox[{\"GraphPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the distribution where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the graph distributions SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"gdist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "GraphQ":"RowBox[{\"GraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if StyleBox[\"g\", \"TI\"] is a valid Graph object and False otherwise.", - "GraphRadius":"RowBox[{\"GraphRadius\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the minimum eccentricity of the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphRadius\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphReciprocity":"RowBox[{\"GraphReciprocity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the reciprocity of a graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"GraphReciprocity\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "GraphStyle":"GraphStyle is an option to Graph and related objects that specifies styles to use for the different graph elements. ", - "GraphUnion":"RowBox[{\"GraphUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the graph union of the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"GraphUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the graph union of SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"GraphUnion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "Gray":"Gray represents the color gray in graphics or style specifications. ", - "GrayLevel":"RowBox[{\"GrayLevel\", \"[\", StyleBox[\"level\", \"TI\"], \"]\"}] is a graphics directive specifying that objects that follow are to be displayed in the gray level given. \nRowBox[{\"GrayLevel\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. ", - "Greater":"RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"y\", \"TI\"]}] yields True if x is determined to be greater than y. \nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[\"x\", \"i\"] form a strictly decreasing sequence. ", - "GreaterEqual":"RowBox[{StyleBox[\"x\", \"TI\"], \">=\", StyleBox[\"y\", \"TI\"]}] or RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", StyleBox[\"y\", \"TI\"]}] yields True if x is determined to be greater than or equal to y. \nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≥\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"≥\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[\"x\", \"i\"] form a non‐increasing sequence. ", - "GreaterEqualLess":"RowBox[{\"GreaterEqualLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⋛\", \"y\", \"⋛\", \"…\"}].", - "GreaterEqualThan":"RowBox[{\"GreaterEqualThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields StyleBox[RowBox[{\"x\", \"≥\", \"y\"}], \"TI\"] when applied to an expression StyleBox[\"x\", \"TI\"].", - "GreaterFullEqual":"RowBox[{\"GreaterFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≧\", \"y\", \"≧\", \"…\"}].", - "GreaterGreater":"RowBox[{\"GreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≫\", \"y\", \"≫\", \"…\"}].", - "GreaterLess":"RowBox[{\"GreaterLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≷\", \"y\", \"≷\", \"…\"}].", - "GreaterSlantEqual":"RowBox[{\"GreaterSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⩾\", \"y\", \"⩾\", \"…\"}].", - "GreaterThan":"RowBox[{\"GreaterThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \">\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"].", - "GreaterTilde":"RowBox[{\"GreaterTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≳\", \"y\", \"≳\", \"…\"}].", - "Green":"Green represents the color green in graphics or style specifications. ", - "GreenFunction":"RowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives a Green's function for the linear differential operator ℒ with boundary conditions ℬ in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] gives a Green's function for the linear partial differential operator ℒ over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[RowBox[{\"x\", \",\", \"t\"}], \"TI\"], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[RowBox[{\"x\", \",\", \"t\"}], \"TI\"], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[RowBox[{\"y\", \",\", \"τ\"}], \"TI\"], \"}\"}]}], \"]\"}] gives a Green's function for the linear time-dependent operator ℒ in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"GreenFunction\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"ℒ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}], \"]\"}], \",\", RowBox[{\"ℬ\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"t\", \"TI\"]}], \"]\"}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\"}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", \"τ\"}], \"}\"}]}], \"]\"}] gives a Green's function for the linear time-dependent operator ℒ over the region StyleBox[\"Ω\", \"TR\"].", - "Grid":"RowBox[{\"Grid\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats with the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"ij\", \"TI\"]] arranged in a two-dimensional grid. ", - "GridBaseline":"GridBaseline is an option for GridBox that specifies what place in the grid should be considered its baseline for purposes of alignment with surrounding objects. ", - "GridBox":"RowBox[{GridBox, \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a low-level box construct that represents a two-dimensional grid of boxes or strings in notebook expressions.", - "GridBoxOptions":"RowBox[{GridBoxOptions, \"->\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option which specifies default settings for GridBox objects.", - "GridCreationSettings":"GridCreationSettings is a global option that specifies settings for the StyleBox[\"Create Table\/Matrix\", \"DialogElementName\"] dialog.", - "GridDefaultElement":"GridDefaultElement is an option for the low-level function GridBox that specifies what to insert when a new element is created interactively in a GridBox. ", - "GridFrame":"GridFrame is an option for grids that specifies whether a surrounding frame is drawn.", - "GridFrameMargins":"GridFrameMargins is an option for grids that specifies the spacing between the content of the grid and the frame surrounding it.", - "GridGraph":"RowBox[{\"GridGraph\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \"]\"}] gives the grid graph with RowBox[{StyleBox[\"m\", \"TI\"], \"×\", StyleBox[\"n\", \"TI\"]}] vertices SubscriptBox[\"G\", RowBox[{\"m\", \",\", \"n\"}]].\nRowBox[{\"GridGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] gives the k-dimensional grid graph with RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", \"⋯\", \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]}] vertices SubscriptBox[\"G\", RowBox[{SubscriptBox[\"n\", \"1\"], \",\", SubscriptBox[\"n\", \"2\"], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[\"n\", \"k\"]}]].", - "GridLines":"GridLines is an option for two-dimensional graphics functions that specifies grid lines. ", - "GridLinesStyle":"GridLinesStyle is an option for 2D graphics functions that specifies how grid lines should be rendered.", - "GroebnerBasis":"RowBox[{\"GroebnerBasis\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of polynomials that form a Gröbner basis for the set of polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"GroebnerBasis\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds a Gröbner basis in which the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] have been eliminated. ", - "GroupActionBase":"GroupActionBase is an option to specify a base for a group.", - "GroupBy":"RowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an association that groups the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] into lists associated with distinct keys RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"k\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"v\", \"TI\"]]}]}], \"]\"}] groups the RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"v\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] according to the RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"k\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] groups into nested associations using SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"].\nRowBox[{\"GroupBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"red\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"red\", \"TI\"] to reduce lists of values that are generated.\nRowBox[{\"GroupBy\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an operator form of GroupBy that can be applied to an expression.", - "GroupCentralizer":"RowBox[{\"GroupCentralizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns the centralizer of the element StyleBox[\"g\", \"TI\"] in StyleBox[\"group\", \"TI\"].", - "GroupElementFromWord":"RowBox[{\"GroupElementFromWord\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] returns the element of StyleBox[\"group\", \"TI\"] determined by the word StyleBox[\"w\", \"TI\"] in the generators of StyleBox[\"group\", \"TI\"].", - "GroupElementPosition":"RowBox[{\"GroupElementPosition\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns the position of the element StyleBox[\"g\", \"TI\"] in the list of elements of StyleBox[\"group\", \"TI\"].\nRowBox[{\"GroupElementPosition\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the list of positions of the elements RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"n\", \"TI\"]]}] in StyleBox[\"group\", \"TI\"].", - "GroupElementQ":"RowBox[{\"GroupElementQ\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns True if the object StyleBox[\"g\", \"TI\"] is an element of StyleBox[\"group\", \"TI\"] and False otherwise.", - "GroupElements":"RowBox[{\"GroupElements\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns the list of all elements of StyleBox[\"group\", \"TI\"].\nRowBox[{\"GroupElements\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the elements numbered RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"k\", \"TI\"]]}] in StyleBox[\"group\", \"TI\"] in the standard order.", - "GroupElementToWord":"RowBox[{\"GroupElementToWord\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] decomposes the group element StyleBox[\"g\", \"TI\"] as a product of generators of StyleBox[\"group\", \"TI\"].", - "GroupGenerators":"RowBox[{\"GroupGenerators\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns a list of generators of StyleBox[\"group\", \"TI\"]. ", - "Groupings":"RowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a list of all possible groupings of RowBox[{\"1\", \",\", \"…\", \",\", StyleBox[\"n\", \"TI\"]}] taken StyleBox[\"k\", \"TI\"] at a time. \nRowBox[{\"Groupings\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives all possible groupings of RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}] taken StyleBox[\"k\", \"TI\"] at a time.\nRowBox[{\"Groupings\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the combination of all possible groupings of each of the lists RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", \"…\"}] taken StyleBox[\"k\", \"TI\"] at a time.\nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"\", StyleBox[\"k\", \"TI\"]}]}], \"]\"}] gives all possible groupings of StyleBox[\"aspec\", \"TI\"] taken StyleBox[\"k\", \"TI\"] at a time with the function StyleBox[\"f\", \"TI\"] applied at each level. \nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives all possible groupings in which the function SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] is applied to SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements. \nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] allows at most SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] occurrences in a given grouping of SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] applied to SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements.\nRowBox[{\"Groupings\", \"[\", RowBox[{StyleBox[\"aspec\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the function StyleBox[\"h\", \"TI\"] around each grouping generated.", - "GroupMultiplicationTable":"RowBox[{\"GroupMultiplicationTable\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] gives the multiplication table of StyleBox[\"group\", \"TI\"] as an array.", - "GroupOrbits":"RowBox[{\"GroupOrbits\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the orbits of the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] under the action of the elements of StyleBox[\"group\", \"TI\"].\nRowBox[{\"GroupOrbits\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] finds the orbits under the group action given by a function StyleBox[\"f\", \"TI\"].", - "GroupOrder":"RowBox[{\"GroupOrder\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns the number of elements of StyleBox[\"group\", \"TI\"].", - "GroupPageBreakWithin":"GroupPageBreakWithin is an option for Cell that specifies whether a page break should be allowed within the group of cells if the notebook that contains the group is printed. ", - "GroupSetwiseStabilizer":"RowBox[{\"GroupSetwiseStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the subgroup of StyleBox[\"group\", \"TI\"] for which the images of the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] are still in the list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].\nRowBox[{\"GroupSetwiseStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns the setwise stabilizer subgroup under the action given by the function StyleBox[\"f\", \"TI\"].", - "GroupStabilizer":"RowBox[{\"GroupStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the subgroup of elements of StyleBox[\"group\", \"TI\"] that move none of the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"GroupStabilizer\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns the stabilizer subgroup under the action given by the function StyleBox[\"f\", \"TI\"].", - "GroupStabilizerChain":"RowBox[{\"GroupStabilizerChain\", \"[\", StyleBox[\"group\", \"TI\"], \"]\"}] returns a list of successive stabilizers in StyleBox[\"group\", \"TI\"] of the points in a base of StyleBox[\"group\", \"TI\"].", - "GrowCutComponents":"RowBox[{\"GrowCutComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"marker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"marker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] creates a segmentation from StyleBox[\"image\", \"TI\"] by growing each SubscriptBox[StyleBox[\"marker\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Gudermannian":"RowBox[{\"Gudermannian\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Gudermannian function RowBox[{\"gd\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "GuidedFilter":"RowBox[{\"GuidedFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"guide\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ϵ\", \"TR\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"] using the guide image StyleBox[\"guide\", \"TI\"] over range-StyleBox[\"r\", \"TI\"] neighborhoods with pixel-value regularizer StyleBox[\"ϵ\", \"TR\"].\nRowBox[{\"GuidedFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ϵ\", \"TR\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"] so as to reduce noise, using StyleBox[\"image\", \"TI\"] as the guide.", - "GumbelDistribution":"RowBox[{\"GumbelDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Gumbel distribution with location parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"GumbelDistribution\", \"[\", \"]\"}] represents a Gumbel distribution with location parameter 0 and scale parameter 1.", - "HaarWavelet":"RowBox[{\"HaarWavelet\", \"[\", \"]\"}] represents a Haar wavelet. ", - "HadamardMatrix":"RowBox[{\"HadamardMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns an StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hadamard matrix.", - "HalfLine":"RowBox[{\"HalfLine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents the half-line from the point SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"HalfLine\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents the half-line from the point StyleBox[\"p\", \"TI\"] in the direction StyleBox[\"v\", \"TI\"]. ", - "HalfNormalDistribution":"RowBox[{\"HalfNormalDistribution\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] represents a half-normal distribution with scale inversely proportional to parameter StyleBox[\"θ\", \"TR\"].", - "HalfPlane":"RowBox[{\"HalfPlane\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents the half-plane bounded by the line through SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]] and extended in the direction StyleBox[\"w\", \"TI\"].\nRowBox[{\"HalfPlane\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents the half-plane bounded by the line through StyleBox[\"p\", \"TI\"] along StyleBox[\"v\", \"TI\"] and extended in the direction StyleBox[\"w\", \"TI\"]. ", - "HalfSpace":"RowBox[{\"HalfSpace\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents the half-space of points x such that RowBox[{RowBox[{\"n\", \".\", RowBox[{\"(\", RowBox[{\"x\", \"-\", \"p\"}], \")\"}]}], \"≤\", \"0\"}].\nRowBox[{\"HalfSpace\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents the half-space of points x such that RowBox[{RowBox[{\"n\", \".\", \"x\"}], \"≤\", \"c\"}]. ", - "HamiltonianGraphQ":"RowBox[{\"HamiltonianGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is Hamiltonian, and False otherwise.", - "HammingDistance":"RowBox[{\"HammingDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Hamming distance between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "HammingWindow":"RowBox[{\"HammingWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Hamming window function of StyleBox[\"x\", \"TI\"].", - "HandlerFunctions":"HandlerFunctions is an option for asynchronous operations that specifies functions to apply when events are generated.", - "HandlerFunctionsKeys":"HandlerFunctionsKeys is an option for asynchronous operations that specifies the content of associations to which to apply handler functions. ", - "HankelH1":"RowBox[{\"HankelH1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Hankel function of the first kind RowBox[{SubsuperscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"1\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "HankelH2":"RowBox[{\"HankelH2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Hankel function of the second kind RowBox[{SubsuperscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"2\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "HankelMatrix":"RowBox[{\"HankelMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hankel matrix with first row and first column being successive integers.\nRowBox[{\"HankelMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the Hankel matrix whose first column consists of elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"HankelMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the Hankel matrix with elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] down the first column, and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] across the last row.", - "HankelTransform":"RowBox[{\"HankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Hankel transform of order 0 for StyleBox[\"expr\", \"TI\"].\nRowBox[{\"HankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] gives the Hankel transform of order StyleBox[\"ν\", \"TR\"] for StyleBox[\"expr\", \"TI\"].", - "HannPoissonWindow":"RowBox[{\"HannPoissonWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Hann–Poisson window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"HannPoissonWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "HannWindow":"RowBox[{\"HannWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Hann window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"HannWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "HaradaNortonGroupHN":"RowBox[{\"HaradaNortonGroupHN\", \"[\", \"]\"}] represents the sporadic simple Harada–Norton group HN.", - "HararyGraph":"RowBox[{\"HararyGraph\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates the minimal StyleBox[\"k\", \"TI\"]-connected graph on StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"H\", RowBox[{\"k\", \",\", \"n\"}]].", - "HarmonicMean":"RowBox[{\"HarmonicMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the harmonic mean of the values in StyleBox[\"list\", \"TI\"].", - "HarmonicMeanFilter":"RowBox[{\"HarmonicMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the harmonic mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"HarmonicMeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "HarmonicNumber":"RowBox[{\"HarmonicNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] harmonic number SubscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"HarmonicNumber\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the harmonic number SubsuperscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"r\", \"TI\"], \")\"}]] of order StyleBox[\"r\", \"TI\"]. ", - "Hash":"RowBox[{\"Hash\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an integer hash code for the expression StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Hash\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives an integer hash code of the specified type for StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Hash\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a hash code in the specified format.", - "Haversine":"RowBox[{\"Haversine\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the haversine function RowBox[{\"hav\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "HazardFunction":"RowBox[{\"HazardFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the hazard function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"HazardFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate hazard function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"HazardFunction\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the hazard function as a pure function.", - "Head":"RowBox[{\"Head\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the head of StyleBox[\"expr\", \"TI\"]. ", - "HeadCompose":"RowBox[{\"HeadCompose\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", \" \", StyleBox[\"b\", \"TI\"], \",\", \" \", StyleBox[\"c\", \"TI\"], \",\", \" \", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \"[\", StyleBox[\"b\", \"TI\"], \"]\"}], \"[\", StyleBox[\"c\", \"TI\"], \"]\"}], \"[\", StyleBox[\"d\", \"TI\"], \"]\"}].", - "HeaderLines":"HeaderLines is an option for SemanticImport and related functions that specifies how many of the initial rows should be considered part of a column header.", - "Heads":"Heads is an option for functions which use level specifications that specifies whether heads of expressions should be included. ", - "HeavisideLambda":"RowBox[{\"HeavisideLambda\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the triangle distribution RowBox[{\"Λ\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}] which is nonzero for RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \"<\", \"1\"}].\nRowBox[{\"HeavisideLambda\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional triangle distribution RowBox[{\"Λ\", \"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}] which is nonzero for RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\"}], \"<\", \"1\"}].", - "HeavisidePi":"RowBox[{\"HeavisidePi\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the box distribution RowBox[{\"Π\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}], equal to 1 for RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \"<\", FractionBox[\"1\", \"2\"]}] and 0 for RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \">\", FractionBox[\"1\", \"2\"]}].\nRowBox[{\"HeavisidePi\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional box distribution RowBox[{\"Π\", \"(\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], \"2\"], \",\", StyleBox[\"…\", \"TR\"]}], \")\"}] which is 1 if all RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\"}], \"<\", FractionBox[\"1\", \"2\"]}].", - "HeavisideTheta":"RowBox[{\"HeavisideTheta\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the Heaviside theta function RowBox[{\"θ\", \"(\", \"x\", \")\"}], equal to 0 for RowBox[{\"x\", \"<\", \"0\"}] and 1 for RowBox[{\"x\", \">\", \"0\"}]. \nRowBox[{\"HeavisideTheta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional Heaviside theta function, which is 1 only if none of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are not positive. ", - "HeldGroupHe":"RowBox[{\"HeldGroupHe\", \"[\", \"]\"}] represents the sporadic simple Held group He.", - "HelpBrowserSettings":"HelpBrowserSettings is a global option that specifies settings for the legacy Help Browser.", - "Here":"Here represents the current deduced geo location.", - "HermiteDecomposition":"RowBox[{\"HermiteDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Hermite normal form decomposition of an integer matrix StyleBox[\"m\", \"TI\"].", - "HermiteH":"RowBox[{\"HermiteH\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Hermite polynomial RowBox[{SubscriptBox[StyleBox[\"H\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "HermitianMatrixQ":"RowBox[{\"HermitianMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly Hermitian, and False otherwise. ", - "HessenbergDecomposition":"RowBox[{\"HessenbergDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Hessenberg decomposition of a numerical matrix StyleBox[\"m\", \"TI\"]. ", - "HexadecimalCharacter":"HexadecimalCharacter represents a hexadecimal digit character 0–9, a–f, A–F in StringExpression.", - "Hexahedron":"RowBox[{\"Hexahedron\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"8\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled hexahedron with corners SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], …, SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"8\", \"TR\"]].\nRowBox[{\"Hexahedron\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"1\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"2\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"8\"}], \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"1\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of hexahedra.", - "HiddenMarkovProcess":"RowBox[{\"HiddenMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"em\", \"TI\"]}], \"]\"}] represents a discrete-time, finite-state hidden Markov process with transition matrix StyleBox[\"m\", \"TI\"], emission matrix StyleBox[\"em\", \"TI\"], and initial hidden state SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"HiddenMarkovProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a hidden Markov process with emission distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HiddenMarkovProcess\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a hidden Markov process with initial hidden state probability vector SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "HiddenSurface":"HiddenSurface is an option for SurfaceGraphics which specifies whether hidden surfaces are to be eliminated. ", - "Highlighted":"RowBox[{\"Highlighted\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays a highlighted version of StyleBox[\"expr\", \"TI\"].", - "HighlightGraph":"RowBox[{\"HighlightGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that can be vertices, edges, or subgraphs of StyleBox[\"g\", \"TI\"].\nRowBox[{\"HighlightGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights using the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"HighlightGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "HighlightImage":"RowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"roi\", \"TI\"]}], \"]\"}] highlights the specified region of interest StyleBox[\"roi\", \"TI\"] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights several regions of interest SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds a feature defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"HighlightImage\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"fg\", \"TI\"], \",\", StyleBox[\"bgstyle\", \"TI\"]}], \"]\"}] applies the styling StyleBox[\"bgstyle\", \"TI\"] to the complement of all the regions of interest.", - "HighlightMesh":"RowBox[{\"HighlightMesh\", \"[\", RowBox[{StyleBox[\"mr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights the cells specified by SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the mesh region StyleBox[\"mr\", \"TI\"].\nRowBox[{\"HighlightMesh\", \"[\", RowBox[{StyleBox[\"mr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"cellspec\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] highlights using the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]].", - "HighpassFilter":"RowBox[{\"HighpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a highpass filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"HighpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"HighpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", - "HigmanSimsGroupHS":"RowBox[{\"HigmanSimsGroupHS\", \"[\", \"]\"}] represents the sporadic simple Higman–Sims group HS.", - "HilbertCurve":"RowBox[{\"HilbertCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Hilbert curve.\nRowBox[{\"HilbertCurve\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Hilbert curve in dimension StyleBox[\"d\", \"TI\"].", - "HilbertFilter":"RowBox[{\"HilbertFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a Hilbert filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"HilbertFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"HilbertFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", - "HilbertMatrix":"RowBox[{\"HilbertMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hilbert matrix with elements of the form RowBox[{\"1\", \"\/\", RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \"+\", StyleBox[\"j\", \"TI\"], \"-\", \"1\"}], \")\"}]}].\nRowBox[{\"HilbertMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \"]\"}] gives the StyleBox[\"m\", \"TI\"]×StyleBox[\"n\", \"TI\"] Hilbert matrix.", - "Histogram":"RowBox[{\"Histogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Histogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a histogram with bin width specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"Histogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"Histogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Histogram3D":"RowBox[{\"Histogram3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a 3D histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"Histogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a 3D histogram with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"Histogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a 3D histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"Histogram3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots 3D histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "HistogramDistribution":"RowBox[{\"HistogramDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the probability distribution corresponding to a histogram of the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HistogramDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate histogram distribution based on data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"HistogramDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] represents a histogram distribution with bins specified by StyleBox[\"bspec\", \"TI\"].", - "HistogramList":"RowBox[{\"HistogramList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of bins and histogram heights of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HistogramList\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of bins and histogram heights of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"HistogramList\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] gives a list of bins and histogram heights with bins specified by StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"HistogramList\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] gives a list of bins and histogram heights with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].", - "HistogramTransform":"RowBox[{\"HistogramTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] transforms pixel values of StyleBox[\"image\", \"TI\"] so that its histogram is nearly flat.\nRowBox[{\"HistogramTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] modifies pixel values of StyleBox[\"image\", \"TI\"] so that its histogram matches the probability density function (PDF) of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"HistogramTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] matches the histogram of StyleBox[\"image\", \"TI\"] with the histogram of the reference image StyleBox[\"ref\", \"TI\"].\nRowBox[{\"HistogramTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] transforms values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "HistogramTransformInterpolation":"RowBox[{\"HistogramTransformInterpolation\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] finds a function StyleBox[\"f\", \"TI\"] so that the transformed values RowBox[{StyleBox[\"f\", \"TI\"], \"(\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \")\"}] are distributed nearly uniformly.\nRowBox[{\"HistogramTransformInterpolation\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] finds StyleBox[\"f\", \"TI\"] so that RowBox[{StyleBox[\"f\", \"TI\"], \"(\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \")\"}] are distributed with distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"HistogramTransformInterpolation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds a function that reshapes the histogram of StyleBox[\"image\", \"TI\"].", - "HistoricalPeriodData":"RowBox[{\"HistoricalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the historical period StyleBox[\"entity\", \"TI\"].\nRowBox[{\"HistoricalPeriodData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified historical period entities.\nRowBox[{\"HistoricalPeriodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "HitMissTransform":"RowBox[{\"HitMissTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the hit-and-miss transform of StyleBox[\"image\", \"TI\"] with respect to the composite structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"HitMissTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the union of the hit-and-miss transforms for all the structuring elements SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"HitMissTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "HITSCentrality":"RowBox[{\"HITSCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of authority and hub centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"HITSCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "HjorthDistribution":"RowBox[{\"HjorthDistribution\", \"[\", StyleBox[RowBox[{\"m\", \",\", \"s\", \",\", \"f\"}], \"TI\"], \"]\"}] represents the Hjorth distribution with location parameter StyleBox[\"m\", \"TI\"], scale parameter StyleBox[\"s\", \"TI\"], and shape parameter StyleBox[\"f\", \"TI\"]StyleBox[\".\", \"TI\"]", - "HodgeDual":"RowBox[{\"HodgeDual\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the Hodge dual of the StyleBox[\"tensor\", \"TI\"]\nRowBox[{\"HodgeDual\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"dim\", \"TI\"]}], \"]\"}] dualizes StyleBox[\"tensor\", \"TI\"] in the slots with dimension StyleBox[\"dim\", \"TI\"]\nRowBox[{\"HodgeDual\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"dim\", \"TI\"], \",\", StyleBox[\"slots\", \"TI\"]}], \"]\"}] dualizes StyleBox[\"tensor\", \"TI\"] in the given StyleBox[\"slots\", \"TI\"].", - "HoeffdingD":"RowBox[{\"HoeffdingD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Hoeffding's dependence measure StyleBox[\"\", \"TR\"] for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"HoeffdingD\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Hoeffding's dependence measure StyleBox[\"\", \"TR\"] for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"HoeffdingD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Hoeffding's dependence measure StyleBox[\"\", \"TR\"] for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"HoeffdingD\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives Hoeffding's StyleBox[\"\", \"TR\"] matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"HoeffdingD\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] element of StyleBox[\"\", \"TR\"] for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", - "HoeffdingDTest":"RowBox[{\"HoeffdingDTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"HoeffdingDTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Hold":"RowBox[{\"Hold\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] maintains StyleBox[\"expr\", \"TI\"] in an unevaluated form. ", - "HoldAll":"HoldAll is an attribute that specifies that all arguments to a function are to be maintained in an unevaluated form. ", - "HoldAllComplete":"HoldAllComplete is an attribute which specifies that all arguments to a function are not to be modified or looked at in any way in the process of evaluation. ", - "HoldComplete":"RowBox[{\"HoldComplete\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] shields StyleBox[\"expr\", \"TI\"] completely from the standard StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] evaluation process, preventing even upvalues associated with StyleBox[\"expr\", \"TI\"] from being used. ", - "HoldFirst":"HoldFirst is an attribute that specifies that the first argument to a function is to be maintained in an unevaluated form. ", - "HoldForm":"RowBox[{\"HoldForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the expression StyleBox[\"expr\", \"TI\"], with StyleBox[\"expr\", \"TI\"] maintained in an unevaluated form. ", - "HoldPattern":"RowBox[{\"HoldPattern\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is equivalent to StyleBox[\"expr\", \"TI\"] for pattern matching, but maintains StyleBox[\"expr\", \"TI\"] in an unevaluated form. ", - "HoldRest":"HoldRest is an attribute which specifies that all but the first argument to a function are to be maintained in an unevaluated form. ", - "HolidayCalendar":"HolidayCalendar is an option that specifies the holiday calendar schedule in business day functions.", - "HorizontalForm":"HorizontalForm is an internal symbol used for formatting and printing.", - "HorizontalGauge":"RowBox[{\"HorizontalGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of 0 to 1.\nRowBox[{\"HorizontalGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"HorizontalGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the gauge.\nRowBox[{\"HorizontalGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a gauge showing multiple values.", - "HornerForm":"RowBox[{\"HornerForm\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] puts the polynomial StyleBox[\"poly\", \"TI\"] in Horner form.\nRowBox[{\"HornerForm\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] puts StyleBox[\"poly\", \"TI\"] in Horner form with respect to the variable or variable list StyleBox[\"vars\", \"TI\"].\nRowBox[{\"HornerForm\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] puts the rational function RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] in Horner form by nesting SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"HornerForm\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] puts RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\/\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] in Horner form using the variables or variable lists SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"vars\", \"TI\"], StyleBox[\"2\", \"TR\"]] for SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], respectively.", - "HostLookup":"RowBox[{\"HostLookup\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives the IP address for the host with the specified name.\nRowBox[{\"HostLookup\", \"[\", StyleBox[\"address\", \"TI\"], \"]\"}] gives the host name for the host at the specified IP address.\nRowBox[{\"HostLookup\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives a specified property of the host.\nRowBox[{\"HostLookup\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", \"All\"}], \"]\"}] gives an association of properties found for the host.", - "HotellingTSquareDistribution":"RowBox[{\"HotellingTSquareDistribution\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents Hotelling's SuperscriptBox[StyleBox[\"T\", \"TI\"], \"2\"] distribution with dimensionality parameter StyleBox[\"p\", \"TI\"] and StyleBox[\"m\", \"TI\"] degrees of freedom.", - "HoytDistribution":"RowBox[{\"HoytDistribution\", \"[\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] represents a Hoyt distribution with shape parameter StyleBox[\"q\", \"TI\"] and spread parameter StyleBox[\"ω\", \"TR\"].", - "HTMLSave":"RowBox[{\"HTMLSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).html\\\"\",ShowStringCharacters->True], \"]\"}] saves an HTML version of the current input notebook in the front end. \nRowBox[{\"HTMLSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).html\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\).nb\\\"\",ShowStringCharacters->True]}], \"]\"}] saves an HTML version of the notebook from the file RowBox[{StyleBox[\"source\", \"TI\"], \".\"}]nb.\nRowBox[{\"HTMLSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).html\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"notebook\", \"TI\"]}], \"]\"}] saves an HTML version of the notebook corresponding to the specified notebook object. ", - "HTTPErrorResponse":"RowBox[{\"HTTPErrorResponse\", \"[\", StyleBox[\"code\", \"TI\"], \"]\"}] is an object that represents an error response to an HTTP request, with specified error code.", - "HTTPRedirect":"RowBox[{\"HTTPRedirect\", \"[\", StyleBox[\"uri\", \"TI\"], \"]\"}] represents an HTTP redirect to the specified StyleBox[\"uri\", \"TI\"].\nRowBox[{\"HTTPRedirect\", \"[\", RowBox[{StyleBox[\"uri\", \"TI\"], \",\", StyleBox[\"metadata\", \"TI\"]}], \"]\"}] represents an HTTP redirect to StyleBox[\"uri\", \"TI\"] with the specified metadata.", - "HTTPRequest":"RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] represents an HTTP request for the specified URL.\nRowBox[{\"HTTPRequest\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents an HTTP request built from the components in the association StyleBox[\"assoc\", \"TI\"]. \nRowBox[{\"HTTPRequest\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] represents an HTTP request for the specified URL with additional elements such as headers given by StyleBox[\"assoc\", \"TI\"].", - "HTTPRequestData":"RowBox[{\"HTTPRequestData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the value of the specified property of the current HTTP request.\nRowBox[{\"HTTPRequestData\", \"[\", \"]\"}] gives an association with values of properties of the current HTTP request.", - "HTTPResponse":"RowBox[{\"HTTPResponse\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] is an object that represents a successful response to an HTTP request, with the specified body and default metadata.\nRowBox[{\"HTTPResponse\", \"[\", RowBox[{StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"metadata\", \"TI\"]}], \"]\"}] represents a response to an HTTP request, including the specified body and metadata.", - "Hue":"RowBox[{\"Hue\", \"[\", StyleBox[\"h\", \"TI\"], \"]\"}] is a graphics directive which specifies that objects which follow are to be displayed, in a color corresponding to hue StyleBox[\"h\", \"TI\"]. \nRowBox[{\"Hue\", \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] specifies colors in terms of hue, saturation, and brightness. \nRowBox[{\"Hue\", \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. ", - "HumanGrowthData":"RowBox[{\"HumanGrowthData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the range of values within one standard deviation of the mean for all properties of human growth at the specification StyleBox[\"spec\", \"TI\"].\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the range of values within one standard deviation of the mean of a property for the specification StyleBox[\"spec\", \"TI\"].\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the values for all properties of human growth for StyleBox[\"spec\", \"TI\"] at the specified percentile.\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"index\", \"TI\"]}], \"]\"}] returns the value at a specific index of a property for StyleBox[\"spec\", \"TI\"] at the specified percentile.\nRowBox[{\"HumanGrowthData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] returns the percentile and probability density for a specific value StyleBox[\"quantity\", \"TI\"] of the property at StyleBox[\"spec\", \"TI\"].", - "HumpDownHump":"RowBox[{\"HumpDownHump\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≎\", StyleBox[\"y\", \"TI\"], \"≎\", \"…\"}].", - "HumpEqual":"RowBox[{\"HumpEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≏\", StyleBox[\"y\", \"TI\"], \"≏\", StyleBox[\"…\", \"TR\"]}].", - "HurwitzLerchPhi":"RowBox[{\"HurwitzLerchPhi\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the Hurwitz–Lerch transcendent RowBox[{\"Φ\", \"(\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}].", - "HurwitzZeta":"RowBox[{\"HurwitzZeta\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the Hurwitz zeta function RowBox[{\"ζ\", \"(\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}].", - "HyperbolicDistribution":"RowBox[{\"HyperbolicDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a hyperbolic distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"δ\", \"TR\"], shape parameter StyleBox[\"α\", \"TR\"], and skewness parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"HyperbolicDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a generalized hyperbolic distribution with shape parameter StyleBox[\"λ\", \"TR\"].", - "HypercubeGraph":"RowBox[{\"HypercubeGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]-dimensional hypercube graph SubscriptBox[\"Q\", \"n\"].", - "HyperexponentialDistribution":"RowBox[{\"HyperexponentialDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an StyleBox[\"m\", \"TI\"]-phase hyperexponential distribution with phase probabilities SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]] and rates SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"i\", \"TI\"]].", - "Hyperfactorial":"RowBox[{\"Hyperfactorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the hyperfactorial function RowBox[{StyleBox[\"H\", \"TI\"], \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", - "Hypergeometric0F1":"RowBox[{\"Hypergeometric0F1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the confluent hypergeometric function RowBox[{SubscriptBox[\"\", \"0\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{\";\", StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", - "Hypergeometric0F1Regularized":"RowBox[{\"Hypergeometric0F1Regularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized confluent hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"0\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"Γ\", \"(\", StyleBox[\"a\", \"TI\"], \")\"}]}]. ", - "Hypergeometric1F1":"RowBox[{\"Hypergeometric1F1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the Kummer confluent hypergeometric function RowBox[{SubscriptBox[\"\", \"1\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", - "Hypergeometric1F1Regularized":"RowBox[{\"Hypergeometric1F1Regularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized confluent hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"1\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"Γ\", \"(\", StyleBox[\"b\", \"TI\"], \")\"}]}]. ", - "Hypergeometric2F1":"RowBox[{\"Hypergeometric2F1\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"2\"], SubscriptBox[\"F\", \"1\"]}], \"(\", RowBox[{\"a\", \",\", \"b\", \";\", \"c\", \";\", \"z\"}], \")\"}]. ", - "Hypergeometric2F1Regularized":"RowBox[{\"Hypergeometric2F1Regularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", \"2\"], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], \"1\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"c\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"Γ\", \"(\", StyleBox[\"c\", \"TI\"], \")\"}]}]. ", - "HypergeometricDistribution":"RowBox[{\"HypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"succ\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"tot\", \"TI\"]]}], \"]\"}] represents a hypergeometric distribution.", - "HypergeometricPFQ":"RowBox[{\"HypergeometricPFQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the generalized hypergeometric function RowBox[{SubscriptBox[\"\", StyleBox[\"p\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"q\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", - "HypergeometricPFQRegularized":"RowBox[{\"HypergeometricPFQRegularized\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the regularized generalized hypergeometric function RowBox[{RowBox[{SubscriptBox[\"\", StyleBox[\"p\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"F\", \"TI\"], StyleBox[\"q\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"(\", RowBox[{\"Γ\", \"(\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], \"1\"], \")\"}], \"…\", RowBox[{\"Γ\", \"(\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \")\"}], \")\"}]}]. ", - "HypergeometricU":"RowBox[{\"HypergeometricU\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the confluent hypergeometric function RowBox[{StyleBox[\"U\", \"TI\"], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \")\"}]. ", - "Hyperlink":"RowBox[{\"Hyperlink\", \"[\", StyleBox[\"uri\", \"TI\"], \"]\"}] represents a hyperlink that jumps to the specified URI when clicked. \nRowBox[{\"Hyperlink\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"uri\", \"TI\"]}], \"]\"}] represents a hyperlink to be displayed as StyleBox[\"label\", \"TI\"]. ", - "Hyperplane":"RowBox[{\"Hyperplane\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents the hyperplane with normal StyleBox[\"n\", \"TI\"] passing through the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Hyperplane\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents the hyperplane with normal StyleBox[\"n\", \"TI\"] given by the points x that satisfy RowBox[{RowBox[{\"n\", \".\", \"x\"}], \"\", \"c\"}]. ", - "Hyphenation":"Hyphenation is an option for Cell that specifies whether to allow hyphenation for words of text. ", - "HypoexponentialDistribution":"RowBox[{\"HypoexponentialDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \"]\"}] represents an StyleBox[\"m\", \"TI\"]-phase hypoexponential distribution with rates SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], …, SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"m\", \"TI\"]].", - "HypothesisTestData":"RowBox[{\"HypothesisTestData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents hypothesis test data such as generated by DistributionFitTest, AndersonDarlingTest, etc. ", - "I":"I represents the imaginary unit SqrtBox[RowBox[{\"-\", \"1\"}]]. ", - "IconData":"RowBox[{\"IconData\", \"[\", RowBox[{StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] generates an iconic view of the StyleBox[\"property\", \"TI\"] for the value StyleBox[\"quantity\", \"TI\"].", - "Iconize":"RowBox[{\"Iconize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives an iconized form that can be used to stand in for StyleBox[\"expr\", \"TI\"] in notebook input.\nRowBox[{\"Iconize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] displays with the specified name in the icon.", - "IconRules":"IconRules is an option for CloudObject and related objects that specifies icons to use in different deployments to represent an object.", - "Identity":"RowBox[{\"Identity\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives StyleBox[\"expr\", \"TI\"] (the identity operation). ", - "IdentityMatrix":"RowBox[{\"IdentityMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]StyleBox[\"n\", \"TI\"] identity matrix. ", - "If":"RowBox[{\"If\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives StyleBox[\"t\", \"TI\"] if StyleBox[\"condition\", \"TI\"] evaluates to True, and StyleBox[\"f\", \"TI\"] if it evaluates to False. \nRowBox[{\"If\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"]}], \"]\"}] gives StyleBox[\"u\", \"TI\"] if StyleBox[\"condition\", \"TI\"] evaluates to neither True nor False. ", - "IgnoreCase":"IgnoreCase is an option for string manipulation and searching functions that specifies whether lowercase and uppercase letters should be treated as equivalent. ", - "IgnoreDiacritics":"IgnoreDiacritics is an option for string, grammar, and related functions that specifies whether diacritics should be ignored in strings.", - "IgnorePunctuation":"IgnorePunctuation is an option for AlphabeticSort and related functions that specifies whether to consider punctuation in determining sorting order.", - "IgnoringInactive":"RowBox[{\"IgnoringInactive\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] is a pattern object that, for purposes of pattern matching, ignores occurrences of Inactive in both StyleBox[\"patt\", \"TI\"] and the expression being matched.", - "Im":"RowBox[{\"Im\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the imaginary part of the complex number StyleBox[\"z\", \"TI\"]. ", - "Image":"RowBox[{\"Image\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a raster image with pixel values given by the array StyleBox[\"data\", \"TI\"].\nRowBox[{\"Image\", \"[\", StyleBox[\"graphics\", \"TI\"], \"]\"}] creates a raster image from a graphics object. \nRowBox[{\"Image\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives an image that uses the specified options.", - "Image3D":"RowBox[{\"Image3D\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a 3D image with pixel values given by the array StyleBox[\"data\", \"TI\"].\nRowBox[{\"Image3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a 3D image from a list of 2D images.\nRowBox[{\"Image3D\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] creates a 3D image of the specified data type.", - "Image3DProjection":"RowBox[{\"Image3DProjection\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] takes a 3D image and returns a 2D image of maximum projection onto the StyleBox[\"x\", \"TI\"]-StyleBox[\"y\", \"TI\"] plane.\nRowBox[{\"Image3DProjection\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] performs a projection in the direction specified by StyleBox[\"dir\", \"TI\"].\nRowBox[{\"Image3DProjection\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"mode\", \"TI\"]}], \"]\"}] specifies the projection StyleBox[\"mode\", \"TI\"].", - "Image3DSlices":"RowBox[{\"Image3DSlices\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a list of 2D images corresponding to the slices in the Image3D object StyleBox[\"image\", \"TI\"].\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] slice as a 2D image.\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts the specified slices SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"m\", \"TI\"]], \";;\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}], \"]\"}] extracts slices SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"m\", \"TI\"]] through SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"Image3DSlices\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] takes slices in dimension StyleBox[\"d\", \"TI\"].", - "ImageAccumulate":"RowBox[{\"ImageAccumulate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives an image in which each pixel represents a sum of all pixels below and to the left of that pixel in StyleBox[\"image\", \"TI\"].", - "ImageAdd":"RowBox[{\"ImageAdd\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] adds an amount StyleBox[\"x\", \"TI\"] to each channel value in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageAdd\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is the sum of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageAdd\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] adds all SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"image\", \"TI\"], where each SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be either an image, a number, or a color value.", - "ImageAdjust":"RowBox[{\"ImageAdjust\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adjusts the levels in StyleBox[\"image\", \"TI\"], rescaling them to cover the range 0 to 1.\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] adjusts the contrast of StyleBox[\"image\", \"TI\"] by an amount StyleBox[\"c\", \"TI\"].\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}]}], \"]\"}] adjusts the contrast by an amount StyleBox[\"c\", \"TI\"] and the brightness by an amount StyleBox[\"b\", \"TI\"].\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}]}], \"]\"}] also performs a gamma correction by raising values to the power StyleBox[\"γ\", \"TR\"].\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"corr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] first rescales so that the range of input values SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]] is mapped to 0 to 1.\nRowBox[{\"ImageAdjust\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"corr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] rescales so that the range of input values SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"max\", \"TI\"]] is mapped to SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "ImageAlign":"RowBox[{\"ImageAlign\", \"[\", RowBox[{StyleBox[\"ref\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] returns a version of StyleBox[\"image\", \"TI\"] that is aligned with the reference image StyleBox[\"ref\", \"TI\"].\nRowBox[{\"ImageAlign\", \"[\", RowBox[{StyleBox[\"ref\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the result of aligning each of the SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] with the reference image StyleBox[\"ref\", \"TI\"].\nRowBox[{\"ImageAlign\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] uses SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] as the reference image.", - "ImageApply":"RowBox[{\"ImageApply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageApply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the sequence of corresponding pixel values taken from each SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ImageApplyIndexed":"RowBox[{\"ImageApplyIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel in StyleBox[\"image\", \"TI\"], giving the row and column index of each pixel as a second argument to StyleBox[\"f\", \"TI\"].\nRowBox[{\"ImageApplyIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the sequence of corresponding pixel values taken from each SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]], giving the corresponding row and column index of pixels as the last argument to StyleBox[\"f\", \"TI\"].", - "ImageAspectRatio":"RowBox[{\"ImageAspectRatio\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the ratio of height to width for StyleBox[\"image\", \"TI\"].", - "ImageAssemble":"RowBox[{\"ImageAssemble\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] assembles a single image from an array of images.", - "ImageAugmentationLayer":"RowBox[{\"ImageAugmentationLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] represents a net layer that applies random image transformations to produce images of height StyleBox[\"h\", \"TI\"] and width StyleBox[\"w\", \"TI\"].", - "ImageCapture":"RowBox[{\"ImageCapture\", \"[\", \"]\"}] opens a graphical user interface for capturing images from connected cameras.", - "ImageCaptureFunction":"ImageCaptureFunction is an option for ImageCapture that specifies the function to apply to images acquired by the imaging device. ", - "ImageChannels":"RowBox[{\"ImageChannels\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the number of channels present in the data for the Image or Image3D object StyleBox[\"image\", \"TI\"].", - "ImageClip":"RowBox[{\"ImageClip\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] clips all channel values in StyleBox[\"image\", \"TI\"] to lie in the default range.\nRowBox[{\"ImageClip\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] clips channel values to lie in the range from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"ImageClip\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]] for values below StyleBox[\"min\", \"TI\"] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]] for values above StyleBox[\"max\", \"TI\"].", - "ImageCollage":"RowBox[{\"ImageCollage\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{RowBox[{\"ImageCollage\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}]}], \"\"}], \"]\"}] also creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] also creates a collage of images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] based on their corresponding weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageCollage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"fitting\", \"TI\"]}], \"]\"}] uses the StyleBox[\"fitting\", \"TI\"] method to create the collage.\nRowBox[{\"ImageCollage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"fitting\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] creates a collage of the specified StyleBox[\"size\", \"TI\"].", - "ImageColorSpace":"RowBox[{\"ImageColorSpace\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the name of the color space of StyleBox[\"image\", \"TI\"].", - "ImageCompose":"RowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"]}], \"]\"}] gives the result of overlaying StyleBox[\"overlay\", \"TI\"] onto StyleBox[\"image\", \"TI\"]. \nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the result of alpha blending StyleBox[\"overlay\", \"TI\"] into StyleBox[\"image\", \"TI\"] using blending fraction StyleBox[\"α\", \"TR\"].\nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places the center of StyleBox[\"overlay\", \"TI\"] at position StyleBox[\"pos\", \"TI\"] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"]}], \"]\"}] places the point StyleBox[\"opos\", \"TI\"] in StyleBox[\"overlay\", \"TI\"] at position StyleBox[\"pos\", \"TI\"] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageCompose\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"overlay\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"o\", \"TI\"]], \",\", StyleBox[\"mode\", \"TI\"]}], \"}\"}]}], \"]\"}] uses the compositing fractions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"k\", \"TI\"]] and the specified compositing mode.", - "ImageConvolve":"RowBox[{\"ImageConvolve\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the convolution of StyleBox[\"image\", \"TI\"] with kernel StyleBox[\"ker\", \"TI\"].", - "ImageCooccurrence":"RowBox[{\"ImageCooccurrence\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] co-occurrence matrix for StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageCooccurrence\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] computes a co-occurrence matrix for arbitrary spatial relationships specified by a kernel StyleBox[\"ker\", \"TI\"].", - "ImageCorners":"RowBox[{\"ImageCorners\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds corners in StyleBox[\"image\", \"TI\"] and returns their coordinates.\nRowBox[{\"ImageCorners\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] finds corners at a pixel range StyleBox[\"r\", \"TI\"].\nRowBox[{\"ImageCorners\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses a threshold StyleBox[\"t\", \"TI\"] for selecting corners.\nRowBox[{\"ImageCorners\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] returns corners that are at least RowBox[{StyleBox[\"d\", \"TI\"], \"+\", \"1\"}] pixels apart.", - "ImageCorrelate":"RowBox[{\"ImageCorrelate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the correlation of StyleBox[\"image\", \"TI\"] with kernel StyleBox[\"ker\", \"TI\"].\nRowBox[{\"ImageCorrelate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] computes a generalized correlation in which the function StyleBox[\"f\", \"TI\"] is used in place of Dot.", - "ImageCorrespondingPoints":"RowBox[{\"ImageCorrespondingPoints\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds a set of matching interest points in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]] and returns their pixel coordinates.", - "ImageCrop":"RowBox[{\"ImageCrop\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] crops StyleBox[\"image\", \"TI\"] by removing borders of uniform color. \nRowBox[{\"ImageCrop\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] crops StyleBox[\"image\", \"TI\"] based on the size specification StyleBox[\"size\", \"TI\"].\nRowBox[{\"ImageCrop\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] crops StyleBox[\"image\", \"TI\"] by removing pixels from sides specified by StyleBox[\"spec\", \"TI\"].", - "ImageData":"RowBox[{\"ImageData\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the array of pixel values in an Image or Image3D object StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageData\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the array of pixel values converted to the specified type.", - "ImageDeconvolve":"RowBox[{\"ImageDeconvolve\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives a deconvolution of StyleBox[\"image\", \"TI\"] using kernel StyleBox[\"ker\", \"TI\"].", - "ImageDemosaic":"RowBox[{\"ImageDemosaic\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cfa\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"row\", \"TI\"], \",\", StyleBox[\"col\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] reconstructs a color image using the specified color filter array \"\nStyleBox[\"cfa\", \"TI\"]\", aligning the top-left pixel of the pattern with the RowBox[{\"{\", RowBox[{StyleBox[\"row\", \"TI\"], \",\", StyleBox[\"col\", \"TI\"]}], \"}\"}] pixel of StyleBox[\"image\", \"TI\"].", - "ImageDifference":"RowBox[{\"ImageDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is the absolute difference of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "ImageDimensions":"RowBox[{\"ImageDimensions\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the pixel dimensions of an Image or Image3D object StyleBox[\"image\", \"TI\"].", - "ImageDisplacements":"RowBox[{\"ImageDisplacements\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives estimated horizontal and vertical displacements between consecutive images.\nRowBox[{\"ImageDisplacements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"flow\", \"TI\"]}], \"]\"}] uses StyleBox[\"flow\", \"TI\"] as an initial estimate for displacement between SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ImageDistance":"RowBox[{\"ImageDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns a distance measure between SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"ImageDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places the center of SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]] at position StyleBox[\"pos\", \"TI\"] in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]].\nRowBox[{\"ImageDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] places the point SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]] of SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]] at position SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]] in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]].", - "ImageEffect":"RowBox[{\"ImageEffect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"effect\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] applies the specified image effect to StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageEffect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"effect\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"params\", \"TI\"]}], \"}\"}]}], \"]\"}] uses parameters StyleBox[\"params\", \"TI\"].", - "ImageExposureCombine":"RowBox[{\"ImageExposureCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] combines differently exposed images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] of the same scene into a single image with overall good exposure.\nRowBox[{\"ImageExposureCombine\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"mode\", \"TI\"]}], \"]\"}] creates a low or a high dynamic range image based on the specified StyleBox[\"mode\", \"TI\"].", - "ImageFeatureTrack":"RowBox[{\"ImageFeatureTrack\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] tracks features from SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"ImageFeatureTrack\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pts\", \"TI\"]}], \"]\"}] tracks features starting from the initial set of points StyleBox[\"pts\", \"TI\"] in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]].", - "ImageFileApply":"RowBox[{\"ImageFileApply\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"inputfile\", \"TI\"], \",\", StyleBox[\"outputfile\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel of the image stored in StyleBox[\"inputfile\", \"TI\"] and stores the result in StyleBox[\"outputfile\", \"TI\"].", - "ImageFileFilter":"RowBox[{\"ImageFileFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"inputfile\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"outputfile\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the range StyleBox[\"r\", \"TI\"] neighborhood of each pixel in each channel of the image stored in StyleBox[\"inputfile\", \"TI\"] and stores the result in StyleBox[\"outputfile\", \"TI\"].", - "ImageFileScan":"RowBox[{\"ImageFileScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"inputfile\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the list of channel values for each pixel of the image stored in StyleBox[\"inputfile\", \"TI\"].", - "ImageFilter":"RowBox[{\"ImageFilter\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the range-StyleBox[\"r\", \"TI\"] neighborhood of each pixel in each channel of StyleBox[\"image\", \"TI\"].", - "ImageFocusCombine":"RowBox[{\"ImageFocusCombine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] combines differently focused images SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]] of the same scene to obtain a single well-focused image. ", - "ImageForestingComponents":"RowBox[{\"ImageForestingComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds a segmentation of StyleBox[\"image\", \"TI\"], returning an integer matrix in which positive integers label different components.\nRowBox[{\"ImageForestingComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] tries to find a segmentation into components that include pixels indicated by StyleBox[\"marker\", \"TI\"].\nRowBox[{\"ImageForestingComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] finds components that are connected at a pixel scale given by StyleBox[\"r\", \"TI\"].", - "ImageFormattingWidth":"ImageFormattingWidth is an option that specifies the target width at which to wrap when formatting an object.", - "ImageForwardTransformation":"RowBox[{\"ImageForwardTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"function\", \"TI\"]}], \"]\"}] gives an image in which each pixel at position RowBox[{StyleBox[\"function\", \"TI\"], \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] corresponds to the position RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageForwardTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"function\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", - "ImageGraphics":"RowBox[{\"ImageGraphics\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns the content of StyleBox[\"image\", \"TI\"] in the form of scalable vector graphics.\nRowBox[{\"ImageGraphics\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses up to StyleBox[\"n\", \"TI\"] colors for the vector graphics.\nRowBox[{\"ImageGraphics\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"colors\", \"TI\"]}], \"]\"}] creates vector graphics containing the specified StyleBox[\"colors\", \"TI\"].", - "ImageHistogram":"RowBox[{\"ImageHistogram\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] plots a histogram of the pixel levels for each channel in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageHistogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] uses bin specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"ImageHistogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] plots the histogram of the pixel values in the given StyleBox[\"range\", \"TI\"].", - "ImageIdentify":"RowBox[{\"ImageIdentify\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] yields the result of attempting to identify what StyleBox[\"image\", \"TI\"] is a picture of. \nRowBox[{\"ImageIdentify\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"]}], \"]\"}] restricts the identification of StyleBox[\"image\", \"TI\"] to objects within the specified category.\nRowBox[{\"ImageIdentify\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of up to StyleBox[\"n\", \"TI\"] possible identifications.\nRowBox[{\"ImageIdentify\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for each identification.", - "ImageInstanceQ":"RowBox[{\"ImageInstanceQ\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] gives True if StyleBox[\"image\", \"TI\"] appears to be an instance of the object StyleBox[\"obj\", \"TI\"], and gives False otherwise.\nRowBox[{\"ImageInstanceQ\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"]}]}], \"]\"}] gives True if StyleBox[\"image\", \"TI\"] appears to be an instance of any of SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]], and gives False otherwise.\nRowBox[{\"ImageInstanceQ\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"category\", \"TI\"]}], \"]\"}] assumes that the image is of something in the specified category.", - "ImageKeypoints":"RowBox[{\"ImageKeypoints\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds key features in StyleBox[\"image\", \"TI\"] and returns their coordinates.\nRowBox[{\"ImageKeypoints\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified property StyleBox[\"prop\", \"TI\"] for each keypoint.", - "ImageLevels":"RowBox[{\"ImageLevels\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a list of pixel values and counts for each channel in StyleBox[\"image\", \"TI\"]. \nRowBox[{\"ImageLevels\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] bins pixel values using bin specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"ImageLevels\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] gives counts for bins in the given StyleBox[\"range\", \"TI\"].", - "ImageLines":"RowBox[{\"ImageLines\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds line segments in StyleBox[\"image\", \"TI\"] and returns the coordinates of their endpoints.\nRowBox[{\"ImageLines\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses the threshold StyleBox[\"t\", \"TI\"] for selecting image lines.\nRowBox[{\"ImageLines\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses the parameter StyleBox[\"d\", \"TI\"] to control the distinctness of the detected lines.", - "ImageMargins":"ImageMargins is an option that specifies the absolute margins to leave around the image displayed for an object. ", - "ImageMarker":"RowBox[{\"ImageMarker\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] is a HighlightImage specification that represents a marker at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"ImageMarker\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] represents a custom marker at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"ImageMarker\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents multiple marker positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ImageMeasurements":"RowBox[{\"ImageMeasurements\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of property \"\nStyleBox[\"prop\", \"TI\"]\" for the entire StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageMeasurements\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] returns the values in the specified output StyleBox[\"format\", \"TI\"].\nRowBox[{\"ImageMeasurements\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns measurements for all SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ImageMesh":"RowBox[{\"ImageMesh\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns the foreground region in StyleBox[\"image\", \"TI\"] as a BoundaryMeshRegion object.", - "ImageMultiply":"RowBox[{\"ImageMultiply\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] multiplies each channel value in StyleBox[\"image\", \"TI\"] by a factor StyleBox[\"x\", \"TI\"].\nRowBox[{\"ImageMultiply\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is the product of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageMultiply\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] multiplies all SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] with StyleBox[\"image\", \"TI\"], where each SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be either an image, a number, or a color value.", - "ImagePad":"RowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads StyleBox[\"image\", \"TI\"] on all sides with StyleBox[\"m\", \"TI\"] background pixels.\nRowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] pads StyleBox[\"image\", \"TI\"] on all sides using the value or method specified by StyleBox[\"padding\", \"TI\"].\nRowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"bottom\", \"TI\"], \",\", StyleBox[\"top\", \"TI\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads StyleBox[\"image\", \"TI\"] with the specified numbers of pixels on each side.\nRowBox[{\"ImagePad\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"left\", \"TI\"], \",\", StyleBox[\"right\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"front\", \"TI\"], \",\", StyleBox[\"back\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"bottom\", \"TI\"], \",\", StyleBox[\"top\", \"TI\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads a 3D image with the specified numbers of pixels.", - "ImagePadding":"ImagePadding is an option for graphics functions that specifies what absolute extra padding should be left for extended objects such as thick lines and annotations such as tick and axis labels.", - "ImagePartition":"RowBox[{\"ImagePartition\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] partitions an image into an array of StyleBox[\"s\", \"TI\"]StyleBox[\"s\", \"TI\"]-pixel subimages.\nRowBox[{\"ImagePartition\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] partitions an image into an array of subimages of pixel width StyleBox[\"w\", \"TI\"] and pixel height StyleBox[\"h\", \"TI\"].\nRowBox[{\"ImagePartition\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dw\", \"TI\"], \",\", StyleBox[\"dh\", \"TI\"]}], \"}\"}]}], \"]\"}] uses pixel offsets StyleBox[\"dw\", \"TI\"] and StyleBox[\"dh\", \"TI\"].", - "ImagePeriodogram":"RowBox[{\"ImagePeriodogram\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] shows the squared magnitude of the discrete Fourier transform (power spectrum) of StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] shows the average of power spectra of non-overlapping partitions of size StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"].\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"ImagePeriodogram\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.", - "ImagePerspectiveTransformation":"RowBox[{\"ImagePerspectiveTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] applies a linear fractional transform specified by a matrix StyleBox[\"m\", \"TI\"] to the positions of each pixel in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImagePerspectiveTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"tf\", \"TI\"]}], \"]\"}] uses the TransformationFunction given by StyleBox[\"tf\", \"TI\"].\nRowBox[{\"ImagePerspectiveTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", - "ImagePreviewFunction":"ImagePreviewFunction is an option for CurrentImage and similar functions that specifies the function to apply to images before being displayed.", - "ImageQ":"RowBox[{\"ImageQ\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] yields True if StyleBox[\"image\", \"TI\"] has the form of a valid Image or Image3D object, and False otherwise.", - "ImageReflect":"RowBox[{\"ImageReflect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] reverses StyleBox[\"image\", \"TI\"] by top-bottom mirror reflection. \nRowBox[{\"ImageReflect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"side\", \"TI\"]}], \"]\"}] reverses StyleBox[\"image\", \"TI\"] by reflecting it so that the specified side goes to the opposite side.\nRowBox[{\"ImageReflect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] reflects StyleBox[\"image\", \"TI\"] so that SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"1\", \"TR\"]] is interchanged with SubscriptBox[StyleBox[\"side\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ImageRegion":"ImageRegion is an option for cells that specifies the size and position of the bounding box within which a graphic is rendered.", - "ImageResize":"RowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"width\", \"TI\"]}], \"]\"}] gives a resized version of StyleBox[\"image\", \"TI\"] that is StyleBox[\"width\", \"TI\"] pixels wide.\nRowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] gives a resized version of StyleBox[\"image\", \"TI\"] with a maximum pixel width or height given by StyleBox[\"s\", \"TI\"].\nRowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"width\", \"TI\"], \",\", StyleBox[\"height\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a resized version of StyleBox[\"image\", \"TI\"] that has exactly the specified pixel width and height.\nRowBox[{\"ImageResize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"width\", \"TI\"], \",\", StyleBox[\"depth\", \"TI\"], \",\", StyleBox[\"height\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a resized version of a 3D image with the specified dimensions.", - "ImageResolution":"ImageResolution is an option for Export, Rasterize, and related functions that specifies at what resolution bitmap images should be rendered. ", - "ImageRestyle":"RowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"sample\", \"TI\"]}], \"]\"}] attempts to restyle StyleBox[\"image\", \"TI\"] so as to follow the graphical style of StyleBox[\"sample\", \"TI\"]. \nRowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"\", StyleBox[\"sample\", \"TI\"]}]}], \"]\"}] uses restyle weighting StyleBox[\"w\", \"TI\"]. \nRowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to restyle StyleBox[\"image\", \"TI\"] using a blend of the graphical styles of the SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ImageRestyle\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses weightings SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the SubscriptBox[StyleBox[\"sample\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ImageRotate":"RowBox[{\"ImageRotate\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] rotates StyleBox[\"image\", \"TI\"] by 90° about its center in the x-y plane. \nRowBox[{\"ImageRotate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] rotates StyleBox[\"image\", \"TI\"] by StyleBox[\"θ\", \"TR\"] radians.\nRowBox[{\"ImageRotate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates a 3D image around the 3D vector StyleBox[\"w\", \"TI\"].\nRowBox[{\"ImageRotate\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", - "ImageRotated":"ImageRotated is an option for Export that specifies whether images should be rotated into landscape mode. ", - "ImageSaliencyFilter":"RowBox[{\"ImageSaliencyFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns a saliency map for StyleBox[\"image\", \"TI\"].", - "ImageScaled":"RowBox[{\"ImageScaled\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives the position of a graphical object in terms of coordinates scaled to run from 0 to 1 across the whole image region in each direction. \nRowBox[{\"ImageScaled\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a position obtained by starting at ordinary coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], then moving by an image‐scaled offset RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]. ", - "ImageScan":"RowBox[{\"ImageScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"f\", \"TI\"] applied to each pixel of StyleBox[\"image\", \"TI\"] in turn.", - "ImageSize":"ImageSize is an option that specifies the overall size of an image to display for an object. ", - "ImageSizeAction":"ImageSizeAction is an option for Pane and related constructs that specifies what to do if the specified ImageSize setting does not match the size of the contents.", - "ImageSizeMultipliers":"ImageSizeMultipliers is an option that specifies how much smaller to render graphics that appear within other constructs.", - "ImageSubtract":"RowBox[{\"ImageSubtract\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] subtracts a constant amount StyleBox[\"x\", \"TI\"] from each channel value in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageSubtract\", \"[\", RowBox[{SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives an image in which each pixel is obtained by subtracting the values of the corresponding pixels in SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"image\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageSubtract\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] subtracts all SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"image\", \"TI\"], where each SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] can be either an image, a number, or a color value.", - "ImageTake":"RowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives an image consisting of the first StyleBox[\"n\", \"TI\"] rows of StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives an image consisting of the last StyleBox[\"n\", \"TI\"] rows of StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives rows SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the image that spans SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]] and SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ImageTake\", \"[\", RowBox[{StyleBox[\"image3d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"slice\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"slice\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"row\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the 3D image consisting of the specified slices, rows, and columns.", - "ImageTransformation":"RowBox[{\"ImageTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an image in which each pixel at position StyleBox[\"p\", \"TI\"] corresponds to the position RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] in StyleBox[\"image\", \"TI\"].\nRowBox[{\"ImageTransformation\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives an image of the specified size.", - "ImageTrim":"RowBox[{\"ImageTrim\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"roi\", \"TI\"]}], \"]\"}] gives the smallest subimage of StyleBox[\"image\", \"TI\"] that includes the specified region of interest StyleBox[\"roi\", \"TI\"].\nRowBox[{\"ImageTrim\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"roi\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] adds a margin of size StyleBox[\"r\", \"TI\"] back to the resulting image.\nRowBox[{\"ImageTrim\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] extracts multiple subimages specified by SubscriptBox[StyleBox[\"roi\", \"TI\"], StyleBox[\"i\", \"TI\"]] from StyleBox[\"image\", \"TI\"].", - "ImageType":"RowBox[{\"ImageType\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the underlying type of values used for each pixel element in the Image or Image3D object StyleBox[\"image\", \"TI\"].", - "ImageValue":"RowBox[{\"ImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] gives the pixel value of StyleBox[\"image\", \"TI\"] at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"ImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the pixel value converted to the specified type.", - "ImageValuePositions":"RowBox[{\"ImageValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] returns a list of pixel positions in StyleBox[\"image\", \"TI\"] that match the value StyleBox[\"val\", \"TI\"].\nRowBox[{\"ImageValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] returns all pixel positions that have values within a distance StyleBox[\"d\", \"TI\"] from StyleBox[\"val\", \"TI\"].", - "ImagingDevice":"ImagingDevice is an option to specify what device to use for capturing images.", - "ImplicitRegion":"RowBox[{\"ImplicitRegion\", \"[\", RowBox[{StyleBox[\"cond\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a region in SuperscriptBox[\"\", \"n\"] that satisfies the conditions StyleBox[\"cond\", \"TI\"]. \nRowBox[{\"ImplicitRegion\", \"[\", RowBox[{StyleBox[\"cond\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a region in SuperscriptBox[\"\", \"n\"] that satisfies the conditions StyleBox[\"cond\", \"TI\"] as well as RowBox[{SubscriptBox[\"a\", \"1\"], \"≤\", SubscriptBox[\"x\", \"1\"], \"≤\", SubscriptBox[\"b\", \"1\"]}] etc.", - "Implies":"RowBox[{\"Implies\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents the logical implication RowBox[{StyleBox[\"p\", \"TI\"], \"⇒\", StyleBox[\"q\", \"TI\"]}]. ", - "Import":"RowBox[{\"Import\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] imports data from a file, returning a complete StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] version of it.\nRowBox[{\"Import\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements from a file.\nImport[\"http:\/\/StyleBox[\"url\", \"TI\"]\",…] and RowBox[{\"Import\", \"[\", RowBox[{StyleBox[\"\\\"ftp:\/\/\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] import from any accessible URL.", - "ImportAutoReplacements":"ImportAutoReplacements is an option for cells that specifies which replacement rules StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] automatically applies when importing text.", - "ImportByteArray":"RowBox[{\"ImportByteArray\", \"[\", RowBox[{StyleBox[\"ba\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] imports data in the specified format from a ByteArray object.\nRowBox[{\"ImportByteArray\", \"[\", RowBox[{StyleBox[\"ba\", \"TI\"], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements.\nRowBox[{\"ImportByteArray\", \"[\", StyleBox[\"ba\", \"TI\"], \"]\"}] attempts to determine the format automatically.", - "ImportOptions":"ImportOptions is an option for Interpreter and related functions that specifies what options should be used in importing data.", - "ImportString":"RowBox[{\"ImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"data\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"format\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] imports data in the specified format from a string. \nRowBox[{\"ImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"data\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"elements\", \"TI\"]}], \"]\"}] imports the specified elements.\nRowBox[{\"ImportString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"data\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine the format of the string from its contents.", - "ImprovementImportance":"RowBox[{\"ImprovementImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the improvement importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"ImprovementImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the improvement importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", - "In":"RowBox[{\"In\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object that is assigned to have a delayed value of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] input line. ", - "Inactivate":"RowBox[{\"Inactivate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces all instances of StyleBox[\"f\", \"TI\"] with RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] for symbols StyleBox[\"f\", \"TI\"] used as heads in StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Inactivate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] inactivates all symbols in StyleBox[\"expr\", \"TI\"] that match the pattern StyleBox[\"patt\", \"TI\"].", - "Inactive":"RowBox[{\"Inactive\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] is an inactive form of StyleBox[\"f\", \"TI\"].", - "IncidenceGraph":"RowBox[{\"IncidenceGraph\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the graph with incidence matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"IncidenceGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and incidence matrix StyleBox[\"m\", \"TI\"].", - "IncidenceList":"RowBox[{\"IncidenceList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a list of edges incident to vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"IncidenceList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of edges incident to vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"IncidenceList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives a list of incident edges StyleBox[\"d\", \"TI\"] steps away.\nRowBox[{\"IncidenceList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "IncidenceMatrix":"RowBox[{\"IncidenceMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the vertex-edge incidence matrix of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"IncidenceMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "IncludeConstantBasis":"IncludeConstantBasis is an option for LinearModelFit and other fitting functions that specifies whether a constant term should be included if not explicitly given in the list of basis functions.", - "IncludeFileExtension":"IncludeFileExtension is an option for notebooks that specifies whether the suffix \".nb\" is automatically appended to a notebook’s name when it is first saved.", - "IncludeGeneratorTasks":"IncludeGeneratorTasks is an option controlling the scope of scheduled task listings.", - "IncludeInflections":"IncludeInflections is an option for linguistic functions that specifies whether inflected forms of words should be included in results.", - "IncludeMetaInformation":"IncludeMetaInformation is an option for Import, Thumbnail, and other functions to specify what types of metadata to include.", - "IncludePods":"IncludePods is an option for WolframAlpha that determines specific pod IDs to include in the results.", - "IncludeQuantities":"IncludeQuantities is an option for DimensionalCombinations for additional quantities to include in the result.", - "IncludeSingularTerm":"IncludeSingularTerm is an option for LerchPhi and Zeta. With RowBox[{\"IncludeSingularTerm\", \" \", \"->\", \" \", \"True\"}], terms involving SuperscriptBox[RowBox[{\"(\", SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"k\", \"TI\"], \" \", \"+\", \" \", StyleBox[\"a\", \"TI\"]}], \")\"}], \"2\"], \")\"}], RowBox[{RowBox[{\"-\", StyleBox[\"s\", \"TI\"]}], \"\/\", \"2\"}]] with RowBox[{RowBox[{StyleBox[\"k\", \"TI\"], \" \", \"+\", \" \", StyleBox[\"a\", \"TI\"]}], \" \", \"==\", \" \", \"0\"}] are included. With RowBox[{\"IncludeSingularTerm\", \" \", \"->\", \" \", \"False\"}], they are not.", - "IncludeWindowTimes":"IncludeWindowTimes is an option to TimeSeriesWindow that specifies whether the endpoints in the time window should be included.", - "Increment":"RowBox[{StyleBox[\"x\", \"TI\"], \"++\"}] increases the value of StyleBox[\"x\", \"TI\"] by 1, returning the old value of StyleBox[\"x\", \"TI\"]. ", - "IndefiniteMatrixQ":"RowBox[{\"IndefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly indefinite, and False otherwise. ", - "IndependenceTest":"RowBox[{\"IndependenceTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"IndependenceTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"IndependenceTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"MR\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "IndependentEdgeSetQ":"RowBox[{\"IndependentEdgeSetQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"elist\", \"TI\"]}], \"]\"}] yields True if the edge list StyleBox[\"elist\", \"TI\"] is an independent edge set of the graph StyleBox[\"g\", \"TI\"], and False otherwise.", - "IndependentPhysicalQuantity":"RowBox[{\"IndependentPhysicalQuantity\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] represents a physical quantity StyleBox[\"string\", \"TI\"] with no relationship to other physical quantities used in QuantityVariable.", - "IndependentUnit":"RowBox[{\"IndependentUnit\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] represents a unit StyleBox[\"string\", \"TI\"] with no relationship to other units within a Quantity.", - "IndependentUnitDimension":"RowBox[{\"IndependentUnitDimension\", \"[\", StyleBox[\"dim\", \"TI\"], \"]\"}] represents the base dimension StyleBox[\"dim\", \"TI\"] associated with an independent physical quantity or unit.", - "IndependentVertexSetQ":"RowBox[{\"IndependentVertexSetQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"]}], \"]\"}] yields True if the vertex list StyleBox[\"vlist\", \"TI\"] is an independent vertex set in the graph StyleBox[\"g\", \"TI\"], and False otherwise.", - "Indeterminate":"Indeterminate is a symbol that represents a numerical quantity whose magnitude cannot be determined. ", - "IndeterminateThreshold":"IndeterminateThreshold is an option for Classify, Predict, and related functions that specifies below what probability or probability density a result should be considered indeterminate.", - "Indexed":"RowBox[{\"Indexed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] represents the component of StyleBox[\"expr\", \"TI\"] with index StyleBox[\"i\", \"TI\"] and formats as SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Indexed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the component with indices StyleBox[\"i\", \"TI\"], StyleBox[\"j\", \"TI\"], … and formats as SubscriptBox[StyleBox[\"expr\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", \"…\"}]].", - "IndexGraph":"RowBox[{\"IndexGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] replaces the vertices of the graph StyleBox[\"g\", \"TI\"] by its vertex indexes.\nRowBox[{\"IndexGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] replaces the vertices with integers StyleBox[\"r\", \"TI\"], RowBox[{StyleBox[\" \", \"TI\"], RowBox[{StyleBox[\"r\", \"TI\"], \"+\", \"1\"}]}], ….\nRowBox[{\"IndexGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "Inequality":"Inequality represents a sequence of relational statements.", - "InexactNumberQ":"RowBox[{\"InexactNumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is an inexact real or complex number, and returns False otherwise.", - "InfiniteLine":"RowBox[{\"InfiniteLine\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents the infinite straight line passing through the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]. \nRowBox[{\"InfiniteLine\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents the infinite straight line passing through the point StyleBox[\"p\", \"TI\"] in the direction StyleBox[\"v\", \"TI\"]. ", - "InfinitePlane":"RowBox[{\"InfinitePlane\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] represents the plane passing through the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]].\nRowBox[{\"InfinitePlane\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the plane passing through the point StyleBox[\"p\", \"TI\"] in the directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "Infinity":"Infinity or ∞ is a symbol that represents a positive infinite quantity. ", - "Infix":"RowBox[{\"Infix\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] prints with RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] given in default infix form: RowBox[{RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"~\", StyleBox[\"f\", \"TI\"], \"~\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"~\", StyleBox[\"f\", \"TI\"], \"~\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"Infix\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] prints with arguments separated by StyleBox[\"h\", \"TI\"]: RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", StyleBox[\"h\", \"TI\"], \" \", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", StyleBox[\"h\", \"TI\"], \" \", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"3\", \"TR\"]], StyleBox[\"…\", \"TR\"]}]. ", - "InflationAdjust":"RowBox[{\"InflationAdjust\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"targetdate\", \"TI\"]}], \"]\"}] attempts to adjust the specified StyleBox[\"quantity\", \"TI\"] purchasing power to StyleBox[\"targetdate\", \"TI\"].\nRowBox[{\"InflationAdjust\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] uses the current year as StyleBox[\"targetdate\", \"TI\"].\nRowBox[{\"InflationAdjust\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"targetunit\", \"TI\"]}], \"]\"}] converts the currency to StyleBox[\"targetunit\", \"TI\"]StyleBox[\" \", \"TI\"]after adjusting to the current year.\nRowBox[{\"InflationAdjust\", \"[\", RowBox[{StyleBox[\"timeseries\", \"TI\"], \",\", StyleBox[\"targetdate\", \"TI\"]}], \"]\"}] attempts to adjust the specified StyleBox[\"timeseries\", \"TI\"] data purchasing power to StyleBox[\"targetdate\", \"TI\"].", - "InflationMethod":"InflationMethod is an option for InflationAdjust that specifies what time series data is to be used for adjustment in time.", - "Information":"RowBox[{\"Information\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] prints information about a symbol. ", - "Inherited":"Inherited represents an option value to be inherited from an enclosing style, cell, or notebook. ", - "InheritScope":"InheritScope is an option for DynamicModule that specifies whether to attempt to bind variables referenced in the DynamicModule to a parent DynamicModule instance.", - "InhomogeneousPoissonProcess":"RowBox[{\"InhomogeneousPoissonProcess\", \"[\", RowBox[{RowBox[{StyleBox[\"λ\", \"TR\"], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an inhomogeneous Poisson process with intensity RowBox[{StyleBox[\"λ\", \"TR\"], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] given as a function of StyleBox[\"t\", \"TI\"].", - "InitialEvaluationHistory":"InitialEvaluationHistory is an option for functions such as BayesianMinimization that gives an initial set of configurations and values.", - "Initialization":"Initialization is an option for Dynamic, DynamicModule, Manipulate, and related constructs that specifies an expression to be evaluated when the construct is first displayed. ", - "InitializationCell":"InitializationCell is an option for Cell that specifies whether the cell should be tagged to be evaluated by the StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel immediately before the first evaluation performed by the user after the notebook is opened. ", - "InitializationCellEvaluation":"InitializationCellEvaluation is an option for notebooks that specifies whether initialization cells in a notebook are automatically evaluated when the notebook is opened.", - "InitializationCellWarning":"InitializationCellWarning is an option for notebooks that specifies whether a warning should be given when a notebook containing initialization cells is opened.", - "InitializationObjects":"RowBox[{\"InitializationObjects\", \"[\", \"]\"}] gives the list of all persistent initialization objects in all locations in $PersistencePath.\nRowBox[{\"InitializationObjects\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives all persistent initialization objects for symbols matching the string pattern \"StyleBox[\"patt\", \"TI\"]\".\nRowBox[{\"InitializationObjects\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] gives all matching persistent initialization objects in the persistence location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"InitializationObjects\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives all matching persistent initialization objects in all the SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "InitializationValue":"RowBox[{\"InitializationValue\", \"[\", StyleBox[\"sym\", \"TI\"], \"]\"}] represents the settable persistent value with which the symbol StyleBox[\"sym\", \"TI\"] will be initialized.\nRowBox[{\"InitializationValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the settable initialization value for the symbol with the specified complete name.\nRowBox[{\"InitializationValue\", \"[\", RowBox[{StyleBox[\"sym\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the persistence locations to search for a possible initialization value.", - "Initialize":"RowBox[{\"Initialize\", \"[\", StyleBox[\"sym\", \"TI\"], \"]\"}] initializes the symbol StyleBox[\"sym\", \"TI\"] from persistent values on the default persistence path.\nRowBox[{\"Initialize\", \"[\", RowBox[{StyleBox[\"sym\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] initializes the symbol StyleBox[\"sym\", \"TI\"] from persistent values on the persistence path RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"Initialize\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] initializes all variables matching the string pattern \"StyleBox[\"patt\", \"TI\"]\".", - "Inner":"RowBox[{\"Inner\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] is a generalization of Dot in which StyleBox[\"f\", \"TI\"] plays the role of multiplication and StyleBox[\"g\", \"TI\"] of addition. ", - "Inpaint":"RowBox[{\"Inpaint\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"region\", \"TI\"]}], \"]\"}] retouches parts of StyleBox[\"image\", \"TI\"] that correspond to nonzero elements in StyleBox[\"region\", \"TI\"].", - "Input":"RowBox[{\"Input\", \"[\", \"]\"}] interactively reads in one StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression. \nRowBox[{\"Input\", \"[\", StyleBox[\"prompt\", \"TI\"], \"]\"}] requests input, displaying StyleBox[\"prompt\", \"TI\"] as a \"prompt\".\nRowBox[{\"Input\", \"[\", RowBox[{StyleBox[\"prompt\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] in a notebook front end uses StyleBox[\"init\", \"TI\"] as the initial contents of the input field.", - "InputAliases":"InputAliases is an option for cells and notebooks which specifies additional StyleBox[\"Esc\", \"KeyEvent\"]StyleBox[\" \", \"InlineCode\"]StyleBox[\"name\", \"TI\"]StyleBox[\" \", \"InlineCode\"]StyleBox[\"Esc\", \"KeyEvent\"] aliases to be allowed on input. ", - "InputAssumptions":"InputAssumptions is an option for WolframAlpha that specifies assumptions for current query input.", - "InputAutoReplacements":"InputAutoReplacements is an option for cells and notebooks which specifies strings of characters that should be replaced immediately on input. ", - "InputField":"RowBox[{\"InputField\", \"[\", \"]\"}] represents a blank editable input field. \nRowBox[{\"InputField\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents an editable input field that currently contains the expression StyleBox[\"x\", \"TI\"]. \nRowBox[{\"InputField\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the contents of the input field to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if new contents are entered. \nRowBox[{\"InputField\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \"String\"}], \"]\"}] represents an input field whose contents are taken to be a string. \nRowBox[{\"InputField\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \"Number\"}], \"]\"}] represents an input field whose contents are taken to be a number. \nRowBox[{\"InputField\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] represents an input field whose contents are taken to be of the specified type. ", - "InputFieldBoxOptions":"RowBox[{InputFieldBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for InputFieldBox objects.", - "InputForm":"RowBox[{\"InputForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a version of StyleBox[\"expr\", \"TI\"] suitable for input to StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"]. ", - "InputNamePacket":"RowBox[{\"InputNamePacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains in StyleBox[\"string\", \"TI\"] the name to be assigned to the next input.", - "InputNotebook":"RowBox[{\"InputNotebook\", \"[\", \"]\"}] gives the current notebook into which keyboard input in the front end will be directed. ", - "InputPacket":"RowBox[{\"InputPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that indicates a prompt for input as generated by Input.", - "InputStream":"RowBox[{\"InputStream\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is an object that represents an input stream for functions such as Read and Find. ", - "InputString":"RowBox[{\"InputString\", \"[\", \"]\"}] interactively reads in a character string. \nRowBox[{\"InputString\", \"[\", StyleBox[\"prompt\", \"TI\"], \"]\"}] requests input, displaying StyleBox[\"prompt\", \"TI\"] as a \"prompt\". \nRowBox[{\"InputString\", \"[\", RowBox[{StyleBox[\"prompt\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] in a notebook front end uses StyleBox[\"init\", \"TI\"] as the initial contents of the input field.", - "InputStringPacket":"RowBox[{\"InputStringPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that requests input in string form.", - "InputToBoxFormPacket":"InputToBoxFormPacket is an internal symbol used for formatting.", - "Insert":"RowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] inserts StyleBox[\"elem\", \"TI\"] at position StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts StyleBox[\"elem\", \"TI\"] at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts StyleBox[\"elem\", \"TI\"] at several positions. \nRowBox[{\"Insert\", \"[\", RowBox[{StyleBox[\"elem\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] represents an operator form of Insert that can be applied to an expression.", - "InsertionFunction":"InsertionFunction is an option for template functions that specifies how expressions are to be processed before they are inserted when the template is applied.", - "InsertLinebreaks":"RowBox[{\"InsertLinebreaks\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] inserts newline characters into StyleBox[\"string\", \"TI\"] to make a string in which no line is longer than 78 characters.\nRowBox[{\"InsertLinebreaks\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] inserts newline characters to make no line longer than StyleBox[\"n\", \"TI\"] characters. ", - "InsertResults":"InsertResults is an option for NotebookEvaluate that determines whether to place the results of evaluation in the notebook being evaluated.", - "Inset":"RowBox[{\"Inset\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] represents an object StyleBox[\"obj\", \"TI\"] inset in a graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] specifies that the inset should be placed at position StyleBox[\"pos\", \"TI\"] in the graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"]}], \"]\"}] aligns the inset so that position StyleBox[\"opos\", \"TI\"] in the object lies at position StyleBox[\"pos\", \"TI\"] in the enclosing graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] specifies the size of the inset in the coordinate system of the enclosing graphic. \nRowBox[{\"Inset\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"opos\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"], \",\", StyleBox[\"dirs\", \"TI\"]}], \"]\"}] specifies that the axes of the inset should be oriented in directions StyleBox[\"dirs\", \"TI\"]. ", - "Inset3DBoxOptions":"RowBox[{Inset3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Inset3DBox objects.", - "InsetBoxOptions":"RowBox[{InsetBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for InsetBox objects.", - "Insphere":"RowBox[{\"Insphere\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"n\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \"]\"}] returns the largest Sphere that can be inscribed in the simplex (triangle, tetrahedron, etc.) defined by points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] in SuperscriptBox[\"\", \"n\"].", - "Install":"RowBox[{\"Install\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] starts a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]]-compatible external program and installs StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] definitions to call functions in it. ", - "InstallService":"InstallService[wsdlURL] installs the web service operations specified in the WSDL URL into a default context defined by the service name and port name of the service operation. InstallService[wsdlURL, myContext] installs the web service operations specified in the WSDL URL into a context specified by the second parameter.", - "InstanceNormalizationLayer":"RowBox[{\"InstanceNormalizationLayer\", \"[\", \"]\"}] represents a trainable net layer that normalizes its input data across the spatial dimensions.", - "InString":"RowBox[{\"InString\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object that is assigned to be the text of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] input line. ", - "Integer":"Integer is the head used for integers. ", - "IntegerDigits":"RowBox[{\"IntegerDigits\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of the decimal digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerDigits\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of the base StyleBox[\"b\", \"TI\"] digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerDigits\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] pads the list on the left with zeros to give a list of length StyleBox[\"len\", \"TI\"]. \nRowBox[{\"IntegerDigits\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"MixedRadix\", \"[\", StyleBox[\"blist\", \"TI\"], \"]\"}]}], \"]\"}] uses the mixed radix with list of bases StyleBox[\"blist\", \"TI\"].", - "IntegerExponent":"RowBox[{\"IntegerExponent\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the highest power of StyleBox[\"b\", \"TI\"] that divides StyleBox[\"n\", \"TI\"]. ", - "IntegerLength":"RowBox[{\"IntegerLength\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of digits in the base 10 representation of the integer StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerLength\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the number of digits in the base StyleBox[\"b\", \"TI\"] representation of StyleBox[\"n\", \"TI\"].", - "IntegerName":"RowBox[{\"IntegerName\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string containing the full English name of the integer StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerName\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"qualifier\", \"TI\"]}], \"]\"}] gives a string conforming to the given qualifications.", - "IntegerPart":"RowBox[{\"IntegerPart\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the integer part of StyleBox[\"x\", \"TI\"]. ", - "IntegerPartitions":"RowBox[{\"IntegerPartitions\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of all possible ways to partition the integer StyleBox[\"n\", \"TI\"] into smaller integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives partitions into at most StyleBox[\"k\", \"TI\"] integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"k\", \"TI\"], \"}\"}]}], \"]\"}] gives partitions into exactly StyleBox[\"k\", \"TI\"] integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives partitions into between SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]] integers. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives partitions involving only the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"IntegerPartitions\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"kspec\", \"TI\"], \",\", StyleBox[\"sspec\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] limits the result to the first StyleBox[\"m\", \"TI\"] partitions. ", - "IntegerQ":"RowBox[{\"IntegerQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is an integer, and False otherwise. ", - "IntegerReverse":"RowBox[{\"IntegerReverse\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the integer whose digits are reversed with respect to those of the integer StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerReverse\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the integer whose digits in base StyleBox[\"b\", \"TI\"] are reversed with respect to those of StyleBox[\"n\", \"TI\"].\nRowBox[{\"IntegerReverse\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] gives the integer with reversed digits after padding StyleBox[\"n\", \"TI\"] with zeros on the left to have StyleBox[\"len\", \"TI\"] digits.", - "Integers":"Integers represents the domain of integers, as in RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", \"Integers\"}]. ", - "IntegerString":"RowBox[{\"IntegerString\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string consisting of the decimal digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a string consisting of the base-StyleBox[\"b\", \"TI\"] digits in the integer StyleBox[\"n\", \"TI\"]. \nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] pads the string on the left with zero digits to give a string of length StyleBox[\"len\", \"TI\"]. \nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"MixedRadix\", \"[\", StyleBox[\"blist\", \"TI\"], \"]\"}]}], \"]\"}] uses the mixed radix with a list of bases StyleBox[\"blist\", \"TI\"].\nRowBox[{\"IntegerString\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"numsys\", \"TI\"]}], \"]\"}] gives the numeral form of StyleBox[\"n\", \"TI\"] based on the numeric system defined by StyleBox[\"numsys\", \"TI\"].", - "Integrate":"RowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the indefinite integral RowBox[{\"∫\", \"f\", \" \", \"d\", \"x\"}]. \nRowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the definite integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", \"TI\"]], SubscriptBox[\"x\", StyleBox[\"max\", \"TI\"]]], \" \", \"f\", \" \", \"d\", \"x\"}]. \nRowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the multiple integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", \"TI\"]], SubscriptBox[\"x\", StyleBox[\"max\", \"TI\"]]], RowBox[{\"d\", \"x\", RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"y\", StyleBox[\"min\", \"TI\"]], SubscriptBox[\"y\", StyleBox[\"max\", \"TI\"]]], RowBox[{\"d\", \"\", \"y\", \" \", \"…\", \" \", \"f\"}]}]}]}]. \nRowBox[{\"Integrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] integrates over the geometric region StyleBox[\"reg\", \"TI\"].", - "Interactive":"Interactive is an option that specifies whether a function should create a user prompt when mimicking an action that would have created a user prompt if invoked manually.", - "InteractiveTradingChart":"RowBox[{\"InteractiveTradingChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"open\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"high\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"low\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"close\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"volume\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a chart showing prices and volume for each date. \nRowBox[{\"InteractiveTradingChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] makes a financial chart for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the StyleBox[\"daterange\", \"TI\"]. \nRowBox[{\"InteractiveTradingChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a financial chart with indicators SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], … . ", - "Interleaving":"Interleaving is an option for Image and related functions that specifies whether data corresponding to different channels in an object such as an image should be interleaved.", - "InternallyBalancedDecomposition":"RowBox[{\"InternallyBalancedDecomposition\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] yields the internally balanced decomposition of the state-space model StyleBox[\"ssm\", \"TI\"].", - "InterpolatingFunction":"RowBox[{\"InterpolatingFunction\", \"[\", RowBox[{StyleBox[\"domain\", \"TI\"], \",\", StyleBox[\"table\", \"TI\"]}], \"]\"}] represents an approximate function whose values are found by interpolation. ", - "InterpolatingPolynomial":"RowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs an interpolating polynomial in StyleBox[\"x\", \"TI\"] which reproduces the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at successive integer values 1, 2, … of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs an interpolating polynomial for the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to StyleBox[\"x\", \"TI\"] values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a multidimensional interpolating polynomial in the variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], ….\nRowBox[{\"InterpolatingPolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"df\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs an interpolating polynomial that reproduces derivatives as well as function values.", - "Interpolation":"RowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation of the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] values 1, 2, … . \nRowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation of the function values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to StyleBox[\"x\", \"TI\"] values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation of multidimensional data.\nRowBox[{\"Interpolation\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"df\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] constructs an interpolation that reproduces derivatives as well as function values.\nRowBox[{\"Interpolation\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] find an interpolation of StyleBox[\"data\", \"TI\"] at the point StyleBox[\"x\", \"TI\"].", - "InterpolationOrder":"InterpolationOrder is an option for Interpolation, as well as ListLinePlot, ListPlot3D, ListContourPlot, and related functions, that specifies what order of interpolation to use.", - "InterpolationPoints":"InterpolationPoints is an option to SmoothKernelDistribution and FunctionInterpolation that specifies the initial number of interpolation points to use. ", - "Interpretation":"RowBox[{\"Interpretation\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an object that displays as StyleBox[\"e\", \"TI\"], but is interpreted as the unevaluated form of StyleBox[\"expr\", \"TI\"] if supplied as input. \nRowBox[{\"Interpretation\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] allows local variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in StyleBox[\"e\", \"TI\"] and StyleBox[\"expr\", \"TI\"].", - "InterpretationBox":"RowBox[{InterpretationBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] is a low-level box construct that displays as StyleBox[\"boxes\", \"TI\"] but is interpreted on input as StyleBox[\"expr\", \"TI\"]. ", - "InterpretationBoxOptions":"InterpretationBoxOptions is an option for selections that specifies settings for InterpretationBox constructs.", - "Interpreter":"RowBox[{\"Interpreter\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an interpreter object that can be applied to an input to try to interpret it as an object of the specified form. \nRowBox[{\"Interpreter\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] returns the interpreted object only if applying StyleBox[\"test\", \"TI\"] to it yields True; otherwise it returns a Failure object.\nRowBox[{\"Interpreter\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"fail\", \"TI\"]}], \"]\"}] returns the result of applying the function StyleBox[\"fail\", \"TI\"] if the test fails.", - "InterpretTemplate":"InterpretTemplate is an experimental function used for interpreting Mathematica input.", - "InterquartileRange":"RowBox[{\"InterquartileRange\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the difference between the upper and lower quartiles for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"InterquartileRange\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the difference between the upper and lower quartiles for the distribution StyleBox[\"dist\", \"TI\"].", - "Interrupt":"RowBox[{\"Interrupt\", \"[\", \"]\"}] generates an interrupt. ", - "IntersectingQ":"RowBox[{\"IntersectingQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] have at least one element in common, and False otherwise.", - "Intersection":"RowBox[{\"Intersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a sorted list of the elements common to all the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Interval":"RowBox[{\"Interval\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] represents the range of values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"]. \nRowBox[{\"Interval\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{\",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]], RowBox[{\",\", SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the union of the ranges SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"min\", \"TI\"], StyleBox[\"2\", \"TR\"]] to SubscriptBox[StyleBox[\"max\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", - "IntervalIntersection":"RowBox[{\"IntervalIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the interval representing all points common to each of the SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "IntervalMemberQ":"RowBox[{\"IntervalMemberQ\", \"[\", RowBox[{StyleBox[\"interval\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives True if the number StyleBox[\"x\", \"TI\"] lies within the specified interval, and False otherwise. \nRowBox[{\"IntervalMemberQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives True if SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]] is completely contained within SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]]. ", - "IntervalSlider":"RowBox[{\"IntervalSlider\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"xmin\", \"TI\"], \",\", StyleBox[\"xmax\", \"TI\"]}], \"}\"}], \"]\"}] represents a slider with setting RowBox[{\"{\", RowBox[{StyleBox[\"xmin\", \"TI\"], \",\", StyleBox[\"xmax\", \"TI\"]}], \"}\"}] in the range 0 to 1.\nRowBox[{\"IntervalSlider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"int\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"int\", \"TI\"], with the value of StyleBox[\"int\", \"TI\"] being reset if the slider is moved.\nRowBox[{\"IntervalSlider\", \"[\", RowBox[{StyleBox[\"int\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a slider with range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"IntervalSlider\", \"[\", RowBox[{StyleBox[\"int\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a slider that jumps in steps StyleBox[\"dx\", \"TI\"].", - "IntervalUnion":"RowBox[{\"IntervalUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the interval representing the set of all points in any of the SubscriptBox[StyleBox[\"interval\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Inverse":"RowBox[{\"Inverse\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the inverse of a square matrix StyleBox[\"m\", \"TI\"]. ", - "InverseBetaRegularized":"RowBox[{\"InverseBetaRegularized\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the inverse of the regularized incomplete beta function. ", - "InverseCDF":"RowBox[{\"InverseCDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the inverse of the cumulative distribution function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"q\", \"TI\"].", - "InverseChiSquareDistribution":"RowBox[{\"InverseChiSquareDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents an inverse SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.\nRowBox[{\"InverseChiSquareDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a scaled inverse SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and scale StyleBox[\"ξ\", \"TR\"].", - "InverseContinuousWaveletTransform":"RowBox[{\"InverseContinuousWaveletTransform\", \"[\", StyleBox[\"cwd\", \"TI\"], \"]\"}] gives the inverse continuous wavelet transform of a ContinuousWaveletData object StyleBox[\"cwd\", \"TI\"]. \nRowBox[{\"InverseContinuousWaveletTransform\", \"[\", StyleBox[RowBox[{\"cwd\", \",\", \"wave\"}], \"TI\"], \"]\"}] gives the inverse transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"InverseContinuousWaveletTransform\", \"[\", RowBox[{StyleBox[\"cwd\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"octvoc\", \"TI\"]}], \"]\"}] gives the inverse transform from the wavelet coefficients specified by StyleBox[\"octvoc\", \"TI\"].", - "InverseDistanceTransform":"RowBox[{\"InverseDistanceTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the inverse distance transform of StyleBox[\"image\", \"TI\"], returning the result as a binary image.", - "InverseEllipticNomeQ":"RowBox[{\"InverseEllipticNomeQ\", \"[\", StyleBox[\"q\", \"TI\"], \"]\"}] gives the parameter StyleBox[\"m\", \"TI\"] corresponding to the nome StyleBox[\"q\", \"TI\"] in an elliptic function. ", - "InverseErf":"RowBox[{\"InverseErf\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the inverse error function obtained as the solution for StyleBox[\"z\", \"TI\"] in RowBox[{StyleBox[\"s\", \"TI\"], \"=\", RowBox[{\"erf\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]}]. ", - "InverseErfc":"RowBox[{\"InverseErfc\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the inverse complementary error function obtained as the solution for StyleBox[\"z\", \"TI\"] in RowBox[{StyleBox[\"s\", \"TI\"], \"=\", RowBox[{\"erfc\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]}]. ", - "InverseFourier":"RowBox[{\"InverseFourier\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the discrete inverse Fourier transform of a list of complex numbers.\nRowBox[{\"InverseFourier\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the specified positions of the discrete inverse Fourier transform. ", - "InverseFourierCosTransform":"RowBox[{\"InverseFourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic inverse Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseFourierCosTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier cosine transform of StyleBox[\"expr\", \"TI\"]. ", - "InverseFourierSequenceTransform":"RowBox[{\"InverseFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the inverse discrete-time Fourier transform of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"InverseFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier sequence transform.", - "InverseFourierSinTransform":"RowBox[{\"InverseFourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic inverse Fourier sine transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseFourierSinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier sine transform of StyleBox[\"expr\", \"TI\"]. ", - "InverseFourierTransform":"RowBox[{\"InverseFourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"ω\", \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic inverse Fourier transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseFourierTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[\"ω\", StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[\"ω\", StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Fourier transform of StyleBox[\"expr\", \"TI\"]. ", - "InverseFunction":"RowBox[{\"InverseFunction\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents the inverse of the function StyleBox[\"f\", \"TI\"], defined so that RowBox[{RowBox[{\"InverseFunction\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] gives the value of StyleBox[\"x\", \"TI\"] for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is equal to StyleBox[\"y\", \"TI\"]. \nRowBox[{\"InverseFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"tot\", \"TI\"]}], \"]\"}] represents the inverse with respect to the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] argument when there are StyleBox[\"tot\", \"TI\"] arguments in all. ", - "InverseFunctions":"InverseFunctions is an option for Solve and related functions that specifies whether inverse functions should be used. ", - "InverseGammaDistribution":"RowBox[{\"InverseGammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents an inverse gamma distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"InverseGammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a generalized inverse gamma distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"γ\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", - "InverseGammaRegularized":"RowBox[{\"InverseGammaRegularized\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the inverse of the regularized incomplete gamma function. ", - "InverseGaussianDistribution":"RowBox[{\"InverseGaussianDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents an inverse Gaussian distribution with mean StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"λ\", \"TR\"].\nRowBox[{\"InverseGaussianDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] represents a generalized inverse Gaussian distribution with parameters StyleBox[\"μ\", \"TR\"], StyleBox[\"λ\", \"TR\"], and StyleBox[\"θ\", \"TR\"].", - "InverseGudermannian":"RowBox[{\"InverseGudermannian\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse Gudermannian function RowBox[{SuperscriptBox[\"gd\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "InverseHankelTransform":"RowBox[{\"InverseHankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the inverse Hankel transform of order 0 for StyleBox[\"expr\", \"TI\"].\nRowBox[{\"InverseHankelTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] gives the inverse Hankel transform of order StyleBox[\"ν\", \"TR\"] for StyleBox[\"expr\", \"TI\"].", - "InverseHaversine":"RowBox[{\"InverseHaversine\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the inverse haversine function RowBox[{SuperscriptBox[\"hav\", RowBox[{\"-\", \"1\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "InverseJacobiCD":"RowBox[{\"InverseJacobiCD\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"cd\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiCN":"RowBox[{\"InverseJacobiCN\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"cn\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiCS":"RowBox[{\"InverseJacobiCS\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"cs\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiDC":"RowBox[{\"InverseJacobiDC\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"dc\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiDN":"RowBox[{\"InverseJacobiDN\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"dn\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiDS":"RowBox[{\"InverseJacobiDS\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"ds\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiNC":"RowBox[{\"InverseJacobiNC\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"nc\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiND":"RowBox[{\"InverseJacobiND\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"nd\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiNS":"RowBox[{\"InverseJacobiNS\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"ns\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiSC":"RowBox[{\"InverseJacobiSC\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"sc\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiSD":"RowBox[{\"InverseJacobiSD\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"sd\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseJacobiSN":"RowBox[{\"InverseJacobiSN\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the inverse Jacobi elliptic function RowBox[{SuperscriptBox[\"sn\", RowBox[{\"-\", \"1\"}]], \"(\", RowBox[{\"v\", \"\", \"m\"}], \")\"}].", - "InverseLaplaceTransform":"RowBox[{\"InverseLaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the inverse Laplace transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseLaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional inverse Laplace transform of StyleBox[\"expr\", \"TI\"]. ", - "InverseMellinTransform":"RowBox[{\"InverseMellinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the inverse Mellin transform of StyleBox[\"expr\", \"TI\"]. ", - "InversePermutation":"RowBox[{\"InversePermutation\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the inverse of permutation StyleBox[\"perm\", \"TI\"].", - "InverseRadon":"RowBox[{\"InverseRadon\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the inverse discrete Radon transform of StyleBox[\"image\", \"TI\"].\nRowBox[{\"InverseRadon\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], StyleBox[RowBox[{\"w\", \",\", \"h\"}], \"TI\"], \"}\"}]}], \"]\"}] specifies the width StyleBox[\"w\", \"TI\"] and the height StyleBox[\"h\", \"TI\"] of the resulting image.", - "InverseRadonTransform":"RowBox[{\"InverseRadonTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the inverse Radon transform of StyleBox[\"expr\", \"TI\"].", - "InverseSeries":"RowBox[{\"InverseSeries\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] takes the series StyleBox[\"s\", \"TI\"], and gives a series for the inverse of the function represented by StyleBox[\"s\", \"TI\"]. \nRowBox[{\"InverseSeries\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] uses the variable StyleBox[\"x\", \"TI\"] in the inverse series.", - "InverseSurvivalFunction":"RowBox[{\"InverseSurvivalFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the inverse of the survival function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"q\", \"TI\"].", - "InverseTransformedRegion":"RowBox[{\"InverseTransformedRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents the inverse transformed region RowBox[{\"{\", RowBox[{RowBox[{\"p\", \"∈\", SuperscriptBox[\"\", \"n\"]}], \"|\", RowBox[{RowBox[{\"f\", \"(\", \"p\", \")\"}], \"∈\", StyleBox[\"reg\", FontSlant -> \"Italic\"]}]}], \"}\"}], where StyleBox[\"reg\", \"TI\"] is a region and StyleBox[\"f\", \"TI\"] is a function. ", - "InverseWaveletTransform":"RowBox[{\"InverseWaveletTransform\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] gives the inverse wavelet transform of a DiscreteWaveletData object StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"InverseWaveletTransform\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the inverse transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"InverseWaveletTransform\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] gives the inverse transform from the wavelet coefficients specified by StyleBox[\"wind\", \"TI\"].", - "InverseWeierstrassP":"RowBox[{\"InverseWeierstrassP\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a value of StyleBox[\"u\", \"TI\"] for which the Weierstrass function RowBox[{\"℘\", RowBox[{\"(\", RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]}] is equal to StyleBox[\"p\", \"TI\"]. ", - "InverseWishartMatrixDistribution":"RowBox[{\"InverseWishartMatrixDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TI\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents an inverse Wishart matrix distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and covariance matrix StyleBox[\"Σ\", \"TR\"].", - "InverseZTransform":"RowBox[{\"InverseZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the inverse Z transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"InverseZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multiple inverse Z transform of StyleBox[\"expr\", \"TI\"].", - "Invisible":"RowBox[{\"Invisible\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as space that is the same size as the formatted version of StyleBox[\"expr\", \"TI\"].", - "IPAddress":"RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a symbolic representation of an IPv4 or IPv6 IP address.", - "IrreduciblePolynomialQ":"RowBox[{\"IrreduciblePolynomialQ\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is an irreducible polynomial over the rationals.\nRowBox[{\"IrreduciblePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is irreducible modulo a prime StyleBox[\"p\", \"TI\"].\nRowBox[{\"IrreduciblePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Extension\", \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is irreducible over the field extension generated by the algebraic numbers SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"IrreduciblePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"Extension\", \"\", \"All\"}]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is absolutely irreducible over the complex numbers.", - "IslandData":"RowBox[{\"IslandData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the island StyleBox[\"entity\", \"TI\"].\nRowBox[{\"IslandData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified island entities.\nRowBox[{\"IslandData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "IsolatingInterval":"RowBox[{\"IsolatingInterval\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives a rational isolating interval for the algebraic number StyleBox[\"a\", \"TI\"].\nRowBox[{\"IsolatingInterval\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] gives an isolating interval of width at most StyleBox[\"dx\", \"TI\"].", - "IsomorphicGraphQ":"RowBox[{\"IsomorphicGraphQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if the graphs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]] are isomorphic, and False otherwise.", - "IsotopeData":"RowBox[{\"IsotopeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"Z\", \"TI\"], \",\", StyleBox[\"A\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the isotope with atomic number StyleBox[\"Z\", \"TI\"] and mass number StyleBox[\"A\", \"TI\"].\nRowBox[{\"IsotopeData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the property for the named isotope.", - "Italic":"Italic represents an italic font slant.", - "Item":"RowBox[{\"Item\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] represents an item within constructs such as Grid, Overlay, and Manipulate that displays with StyleBox[\"expr\", \"TI\"] as the content, and with the specified options applied to the region containing StyleBox[\"expr\", \"TI\"]. ", - "ItemAspectRatio":"ItemAspectRatio is an option for GraphicsGrid which specifies the ratio of height to width for the regions in which items are placed in the graphics grid.", - "ItemBoxOptions":"RowBox[{ItemBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ItemBox objects.", - "ItemSize":"ItemSize is an option for Grid, Column, and related constructs that specifies the sizes to allow for items.", - "ItemStyle":"ItemStyle is an option for Grid, Column, and related constructs that specifies styles to use for items.", - "ItoProcess":"RowBox[{\"ItoProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an Ito process RowBox[{\"x\", \"(\", \"t\", \")\"}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \".\", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}]}]}]}]}].\nRowBox[{\"ItoProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents an Ito process RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"\", RowBox[{\"c\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}]}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \".\", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}], \" \"}]}]}]}].\nRowBox[{\"ItoProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] uses initial condition RowBox[{RowBox[{\"x\", \"(\", SubscriptBox[\"t\", \"0\"], \")\"}], \"\", SubscriptBox[\"x\", \"0\"]}].\nRowBox[{\"ItoProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] uses a Wiener process RowBox[{\"w\", \"(\", \"t\", \")\"}], with covariance StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"ItoProcess\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] converts StyleBox[\"proc\", \"TI\"] to a standard Ito process whenever possible. \nRowBox[{\"ItoProcess\", \"[\", RowBox[{StyleBox[\"sdeqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"\", StyleBox[\"dproc\", \"TI\"]}]}], \"]\"}] represents an Ito process specified by a stochastic differential equation StyleBox[\"sdeqns\", \"TI\"], output expression StyleBox[\"expr\", \"TI\"], with state StyleBox[\"x\", \"TI\"] and time StyleBox[\"t\", \"TI\"], driven by StyleBox[\"w\", \"TI\"] following the process StyleBox[\"dproc\", \"TI\"]. ", - "JaccardDissimilarity":"RowBox[{\"JaccardDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Jaccard dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "JacobiAmplitude":"RowBox[{\"JacobiAmplitude\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the amplitude RowBox[{\"am\", \"(\", RowBox[{\"u\", \"\", \"m\"}], \")\"}] for Jacobi elliptic functions. ", - "Jacobian":"Jacobian is an option for FindRoot. RowBox[{\"Jacobian\", \" \", \"->\", \" \", \"Automatic\"}] attempts symbolic computation of the Jacobian of the system of functions whose root is being sought. A typical setting is RowBox[{\"Jacobian\", \" \", \"->\", \" \", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"2\", \" \", StyleBox[\"x\", \"TI\"]}], \",\", \" \", RowBox[{\"Sign\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}]}], \"}\"}], \",\", \" \", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", \" \", StyleBox[\"x\", \"TI\"]}], \"}\"}]}], \"}\"}]}].", - "JacobiCD":"RowBox[{\"JacobiCD\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"cd\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiCN":"RowBox[{\"JacobiCN\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"cn\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiCS":"RowBox[{\"JacobiCS\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"cs\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiDC":"RowBox[{\"JacobiDC\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"dc\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiDN":"RowBox[{\"JacobiDN\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"dn\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiDS":"RowBox[{\"JacobiDS\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"ds\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiNC":"RowBox[{\"JacobiNC\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"nc\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiND":"RowBox[{\"JacobiND\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"nd\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiNS":"RowBox[{\"JacobiNS\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"ns\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiP":"RowBox[{\"JacobiP\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Jacobi polynomial RowBox[{SubsuperscriptBox[StyleBox[\"P\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "JacobiSC":"RowBox[{\"JacobiSC\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"sc\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiSD":"RowBox[{\"JacobiSD\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"sd\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiSN":"RowBox[{\"JacobiSN\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi elliptic function RowBox[{\"sn\", \"(\", RowBox[{\"u\", \"|\", \"m\"}], \")\"}].", - "JacobiSymbol":"RowBox[{\"JacobiSymbol\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi symbol RowBox[{\"(\", FractionBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \")\"}]. ", - "JacobiZeta":"RowBox[{\"JacobiZeta\", \"[\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Jacobi zeta function RowBox[{\"Z\", \"(\", RowBox[{\"ϕ\", \"\", \"m\"}], \")\"}]. ", - "JankoGroupJ1":"RowBox[{\"JankoGroupJ1\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"1\"].", - "JankoGroupJ2":"RowBox[{\"JankoGroupJ2\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"2\"].", - "JankoGroupJ3":"RowBox[{\"JankoGroupJ3\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"3\"].", - "JankoGroupJ4":"RowBox[{\"JankoGroupJ4\", \"[\", \"]\"}] represents the sporadic simple Janko group SubscriptBox[\"J\", \"4\"].", - "JarqueBeraALMTest":"RowBox[{\"JarqueBeraALMTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Jarque–Bera ALM test.\nRowBox[{\"JarqueBeraALMTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "JohnsonDistribution":"RowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SB\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a bounded Johnson distribution with shape parameters StyleBox[\"γ\", \"TR\"], StyleBox[\"δ\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SL\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a semi-bounded Johnson distribution.\nRowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SU\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents an unbounded Johnson distribution.\nRowBox[{\"JohnsonDistribution\", \"[\", RowBox[{StyleBox[\"\\\"SN\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a normal Johnson distribution.", - "Join":"RowBox[{\"Join\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] concatenates lists or other expressions that share the same head.\nRowBox[{\"Join\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] joins the objects at level StyleBox[\"n\", \"TI\"] in each of the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "JoinAcross":"RowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] gives a list of associations obtained by joining those pairs of associations SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]] in which the values associated with StyleBox[\"key\", \"TI\"] are the same. \nRowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] joins pairs of associations only when the values associated with all keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the same.\nRowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"a\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"b\", \"TI\"]]}]}], \"]\"}] joins pairs of associations SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]] in which the values associated with SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"a\", \"TI\"]] in the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the same as those associated with SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"b\", \"TI\"]] in the SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"JoinAcross\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]], \"\", SubscriptBox[StyleBox[\"key\", \"TI\"], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] joins pairs of associations in which pairs of corresponding values agree.\nRowBox[{\"JoinAcross\", \"[\", RowBox[{StyleBox[\"alist\", \"TI\"], \",\", StyleBox[\"blist\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"jspec\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses StyleBox[\"jspec\", \"TI\"] to determine when to allow associations that contain missing elements to be generated.", - "Joined":"Joined is an option for ListPlot and related functions that specifies whether points in each dataset should be joined into a line, or should be plotted as separate points. ", - "JoinedCurve":"RowBox[{\"JoinedCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a curve consisting of SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"1\", \"TR\"]] followed by SubscriptBox[StyleBox[\"segment\", \"TI\"], StyleBox[\"2\", \"TR\"]] etc. \nRowBox[{\"JoinedCurve\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a list of separate component curves SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", - "JoinedCurveBoxOptions":"RowBox[{JoinedCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for JoinedCurveBox objects.", - "JoinForm":"RowBox[{\"JoinForm\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] is a graphics directive that specifies what type of joins should be used to connect segments of lines, tubes, edges, and related primitives.", - "JordanDecomposition":"RowBox[{\"JordanDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] yields the Jordan decomposition of a square matrix StyleBox[\"m\", \"TI\"]. The result is a list RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"}\"}] where StyleBox[\"s\", \"TI\"] is a similarity matrix and StyleBox[\"j\", \"TI\"] is the Jordan canonical form of StyleBox[\"m\", \"TI\"].", - "JordanModelDecomposition":"RowBox[{\"JordanModelDecomposition\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] yields the Jordan decomposition of the state-space model StyleBox[\"ssm\", \"TI\"]. ", - "JulianDate":"RowBox[{\"JulianDate\", \"[\", \"]\"}] gives the current number of days since noon on November 24, 4714 BCE in the GMT time zone. \nRowBox[{\"JulianDate\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the number of days for the specified date.\nRowBox[{\"JulianDate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the Julian date variant of the specified type.\nRowBox[{\"JulianDate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the variant for the specified date.", - "JuliaSetBoettcher":"RowBox[{\"JuliaSetBoettcher\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives an approximation of the Böttcher function of StyleBox[\"z\", \"TI\"], which maps the complement of the Julia set conformally to the complement of the closed unit disk.", - "JuliaSetIterationCount":"RowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] returns the number of iterations, beginning with the complex number RowBox[{StyleBox[\"z\", \"TI\"], \"\", StyleBox[\"p\", \"TI\"]}], of the function RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}] needed to determine whether StyleBox[\"p\", \"TI\"] is in the Julia set of StyleBox[\"f\", \"TI\"].\nRowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] returns the number of iterations, beginning with the complex number RowBox[{StyleBox[\"z\", \"TI\"], \"\", StyleBox[\"p\", \"TI\"]}], of the function RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}] needed to determine whether StyleBox[\"p\", \"TI\"] is in the Julia set of RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}].\nRowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of the number of iterations required to determine whether each member of RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is in the Julia set of StyleBox[\"f\", \"TI\"].\nRowBox[{\"JuliaSetIterationCount\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns a list of the number of iterations required to determine whether each member of RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is in the Julia set of RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}].", - "JuliaSetPlot":"RowBox[{\"JuliaSetPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] plots the Julia set of the rational function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"z\", \"TI\"].\nRowBox[{\"JuliaSetPlot\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] plots the Julia set of the function RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}]. ", - "JuliaSetPoints":"RowBox[{\"JuliaSetPoints\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] returns a list of coordinates approximating the real and imaginary parts of the complex numbers in the Julia set of the rational function StyleBox[\"f\", \"TI\"] of the variable StyleBox[\"z\", \"TI\"].\nRowBox[{\"JuliaSetPoints\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] returns a list of coordinates of points approximating the Julia set of the function RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}], \"\", RowBox[{SuperscriptBox[StyleBox[\"z\", \"TI\"], \"2\"], \"+\", StyleBox[\"c\", \"TI\"]}]}].", - "K":"K is a default generic name for a summation index in a symbolic sum.", - "KagiChart":"RowBox[{\"KagiChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a Kagi chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"KagiChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a Kagi chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"KagiChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"rt\", \"TI\"]}], \"]\"}] makes a Kagi chart with reversal threshold StyleBox[\"rt\", \"TI\"].", - "KaiserBesselWindow":"RowBox[{\"KaiserBesselWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Kaiser–Bessel window function of StyleBox[\"x\", \"TI\"].", - "KaiserWindow":"RowBox[{\"KaiserWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Kaiser window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"KaiserWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "KalmanEstimator":"RowBox[{\"KalmanEstimator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] constructs the Kalman estimator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] with process and measurement noise covariance matrices StyleBox[\"w\", \"TI\"] and StyleBox[\"v\", \"TI\"]. \nRowBox[{\"KalmanEstimator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the cross-covariance matrix StyleBox[\"h\", \"TI\"].\nRowBox[{\"KalmanEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the noisy measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"KalmanEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", - "KalmanFilter":"RowBox[{\"KalmanFilter\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] using the time series model given by StyleBox[\"tproc\", \"TI\"].", - "KarhunenLoeveDecomposition":"RowBox[{\"KarhunenLoeveDecomposition\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the Karhunen–Loeve transform RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}] of the numerical arrays RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], where RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}]. \nRowBox[{\"KarhunenLoeveDecomposition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] uses the inverse of the matrix StyleBox[\"m\", \"TI\"] for transforming SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "KaryTree":"RowBox[{\"KaryTree\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a binary tree with StyleBox[\"n\", \"TI\"] vertices.\nRowBox[{\"KaryTree\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a StyleBox[\"k\", \"TI\"]-ary tree with StyleBox[\"n\", \"TI\"] vertices.", - "KatzCentrality":"RowBox[{\"KatzCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives a list of Katz centralities for the vertices in the graph StyleBox[\"g\", \"TI\"] and weight StyleBox[\"α\", \"TR\"].\nRowBox[{\"KatzCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] gives a list of Katz centralities using weight StyleBox[\"α\", \"TR\"] and initial centralities StyleBox[\"β\", \"TR\"].\nRowBox[{\"KatzCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "KCoreComponents":"RowBox[{\"KCoreComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-core components of the underlying simple graph of StyleBox[\"g\", \"TI\"].\nRowBox[{\"KCoreComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-core components with vertex in-degrees at least StyleBox[\"k\", \"TI\"].\nRowBox[{\"KCoreComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-core components with vertex out-degrees at least StyleBox[\"k\", \"TI\"].\nRowBox[{\"KCoreComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "KDistribution":"RowBox[{\"KDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a K distribution with shape parameters StyleBox[\"ν\", \"TR\"] and StyleBox[\"w\", \"TI\"].", - "KEdgeConnectedComponents":"RowBox[{\"KEdgeConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-edge-connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"KEdgeConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-edge-connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"KEdgeConnectedComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "KEdgeConnectedGraphQ":"RowBox[{\"KEdgeConnectedGraphQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is StyleBox[\"k\", \"TI\"]-edge-connected and False otherwise.", - "KelvinBei":"RowBox[{\"KelvinBei\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"bei\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinBei\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"bei\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "KelvinBer":"RowBox[{\"KelvinBer\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"ber\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinBer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"ber\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "KelvinKei":"RowBox[{\"KelvinKei\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"kei\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinKei\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"kei\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "KelvinKer":"RowBox[{\"KelvinKer\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Kelvin function RowBox[{\"ker\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"KelvinKer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Kelvin function RowBox[{SubscriptBox[\"ker\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "KendallTau":"RowBox[{\"KendallTau\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Kendall's rank correlation coefficient τ for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"KendallTau\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Kendall's rank correlation coefficients τ for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"KendallTau\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Kendall's rank correlation coefficients τ for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"KendallTau\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives Kendall's rank correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"KendallTau\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] Kendall rank correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", - "KendallTauTest":"RowBox[{\"KendallTauTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"KendallTauTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"KendallTauTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], StyleBox[\",\", \"MR\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "KernelMixtureDistribution":"RowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a kernel mixture distribution based on the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate kernel mixture distribution based on data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"]}], \"]\"}] represents a kernel mixture distribution with bandwidth StyleBox[\"bw\", \"TI\"].\nRowBox[{\"KernelMixtureDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] represents a kernel mixture distribution with bandwidth StyleBox[\"bw\", \"TI\"] and smoothing kernel StyleBox[\"ker\", \"TI\"].", - "Kernels":"RowBox[{\"Kernels\", \"[\", \"]\"}] gives the list of running kernels available for parallel computing.", - "Key":"RowBox[{\"Key\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] represents a key used to access a value in an association.\nRowBox[{RowBox[{\"Key\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}], \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] extracts the value corresponding to StyleBox[\"key\", \"TI\"] in the association StyleBox[\"assoc\", \"TI\"].", - "KeyCollisionFunction":"KeyCollisionFunction is an option for JoinAcross that specifies how to handle pairs of elements that are not being joined but nevertheless have the same key.", - "KeyComplement":"RowBox[{\"KeyComplement\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"all\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an association in which only elements whose keys appear in SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"all\", \"TI\"]] but not in any of the SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] are retained.", - "KeyDrop":"RowBox[{\"KeyDrop\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields an association from which elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] have been dropped. \nRowBox[{\"KeyDrop\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"keys\", \"TI\"]}], \"]\"}] gives a list of associations.\nRowBox[{\"KeyDrop\", \"[\", StyleBox[\"keys\", \"TI\"], \"]\"}] represents an operator form of KeyDrop that can be applied to an expression.", - "KeyDropFrom":"RowBox[{\"KeyDropFrom\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] changes the association StyleBox[\"a\", \"TI\"] by dropping the element with the specified key.\nRowBox[{\"KeyDropFrom\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] drops the elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "KeyExistsQ":"RowBox[{\"KeyExistsQ\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] returns True if the specified StyleBox[\"key\", \"TI\"] exists in the association StyleBox[\"assoc\", \"TI\"], and False otherwise.\nRowBox[{\"KeyExistsQ\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] represents an operator form of KeyExistsQ that can be applied to an expression.", - "KeyFreeQ":"RowBox[{\"KeyFreeQ\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] yields True if no key in the association StyleBox[\"assoc\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and yields False otherwise.\nRowBox[{\"KeyFreeQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of KeyFreeQ that can be applied to an expression.", - "KeyIntersection":"RowBox[{\"KeyIntersection\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of associations in which only elements whose keys appear in all the SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]] are retained.", - "KeyMap":"RowBox[{\"KeyMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] maps StyleBox[\"f\", \"TI\"] over the keys in an association, giving RowBox[{\"\", RowBox[{RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"]\"}], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"]\"}], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}].\nRowBox[{\"KeyMap\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of KeyMap that can be applied to an expression.", - "KeyMemberQ":"RowBox[{\"KeyMemberQ\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] yields True if a key in the association StyleBox[\"assoc\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and False otherwise.\nRowBox[{\"KeyMemberQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of KeyMemberQ that can be applied to an expression.", - "KeypointStrength":"KeypointStrength is an option for ImageKeypoints and related functions to specify a minimum strength of detected keypoints.", - "Keys":"RowBox[{\"Keys\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a list of the keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] in an association.\nRowBox[{\"Keys\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a list of rules.", - "KeySelect":"RowBox[{\"KeySelect\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] selects elements in the association StyleBox[\"assoc\", \"TI\"] for which StyleBox[\"crit\", \"TI\"] applied to their keys is True.\nRowBox[{\"KeySelect\", \"[\", StyleBox[\"crit\", \"TI\"], \"]\"}] represents an operator form of KeySelect that can be applied to an expression.", - "KeySort":"RowBox[{\"KeySort\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] orders the elements of an association by sorting its keys.", - "KeySortBy":"RowBox[{\"KeySortBy\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] sorts the elements of an association in the order defined by applying StyleBox[\"f\", \"TI\"] to each of their keys.\nRowBox[{\"KeySortBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of KeySortBy that can be applied to an expression.", - "KeyTake":"RowBox[{\"KeyTake\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields an association containing only the elements with keys SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"KeyTake\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"keys\", \"TI\"]}], \"]\"}] gives a list of associations.\nRowBox[{\"KeyTake\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an operator form of KeyTake that can be applied to an expression.", - "KeyUnion":"RowBox[{\"KeyUnion\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of associations in which each association has the union of the keys of the SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]], padding by inserting values of RowBox[{\"Missing\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] if necessary.\nRowBox[{\"KeyUnion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] uses RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] as the value associated with a missing key. ", - "KeyValueMap":"RowBox[{\"KeyValueMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"KeyValueMap\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of KeyValueMap that can be applied to an expression.", - "KeyValuePattern":"RowBox[{\"KeyValuePattern\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a pattern object that represents an association or list of rules that includes elements matching each of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Khinchin":"Khinchin is Khinchin's constant, with numerical value RowBox[{\"≃\", \"2.68545\"}]. ", - "KillProcess":"KillProcess[proc] kills the external process represented by the ProcessObject proc.", - "KirchhoffGraph":"RowBox[{\"KirchhoffGraph\", \"[\", StyleBox[\"kmat\", \"TI\"], \"]\"}] gives the graph with Kirchhoff matrix StyleBox[\"kmat\", \"TI\"].\nRowBox[{\"KirchhoffGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"kmat\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and Kirchhoff matrix StyleBox[\"kmat\", \"TI\"].", - "KirchhoffMatrix":"RowBox[{\"KirchhoffMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the Kirchhoff matrix of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"KirchhoffMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "KleinInvariantJ":"RowBox[{\"KleinInvariantJ\", \"[\", StyleBox[\"τ\", \"TR\"], \"]\"}] gives the Klein invariant modular elliptic function RowBox[{\"J\", \"(\", \"τ\", \")\"}]. ", - "KnapsackSolve":"RowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"]\"}] solves the knapsack problem of finding the maximum number of items associated with each of the SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"i\", \"TI\"]], subject to the constraint that the total cost is not larger than StyleBox[\"maxtotalcost\", \"TI\"].\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"payoff\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"payoff\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"]\"}] finds a number of items that maximizes the total payoff, while satisfying the constraint on the total cost.\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"payoff\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cost\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"maxcount\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"]\"}] allows at most SubscriptBox[StyleBox[\"maxcount\", \"TI\"], StyleBox[\"i\", \"TI\"]] copies of item StyleBox[\"i\", \"TI\"].\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{StyleBox[\"items\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"maxtotalpayoff\", \"TI\"], \",\", StyleBox[\"maxtotalcost\", \"TI\"]}], \"}\"}]}], \"]\"}] finds a result that gives a total payoff not larger than StyleBox[\"maxtotalpayoff\", \"TI\"].\nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{StyleBox[\"items\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"maxtotalpayoff\", \"TI\"], \",\", StyleBox[\"maxtotalcost\", \"TI\"], \",\", StyleBox[\"maxtotalcount\", \"TI\"]}], \"}\"}]}], \"]\"}] adds the constraint of having no more than StyleBox[\"maxtotalcount\", \"TI\"] items in total. \nRowBox[{\"KnapsackSolve\", \"[\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"label\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"itemspec\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", StyleBox[\"maxtotals\", \"TI\"]}], \"]\"}] labels each type of item and gives the result as an association.", - "KnightTourGraph":"RowBox[{\"KnightTourGraph\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a Knight's tour graph on an StyleBox[\"m\", \"TI\"]StyleBox[\"n\", \"TI\"] chessboard.", - "KnotData":"RowBox[{\"KnotData\", \"[\", RowBox[{StyleBox[\"knot\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a knot.\nRowBox[{\"KnotData\", \"[\", StyleBox[\"knot\", \"TI\"], \"]\"}] gives an image of the knot.\nRowBox[{\"KnotData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of knots in the specified class.", - "KnownUnitQ":"RowBox[{\"KnownUnitQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a canonical unit, and False otherwise.", - "KochCurve":"RowBox[{\"KochCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Koch curve.\nRowBox[{\"KochCurve\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes a series of steps of unit length at successive relative angles SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"KochCurve\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes successive steps of lengths proportional to SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "KolmogorovSmirnovTest":"RowBox[{\"KolmogorovSmirnovTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Kolmogorov–Smirnov test.\nRowBox[{\"KolmogorovSmirnovTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Kolmogorov–Smirnov test.\nRowBox[{\"KolmogorovSmirnovTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "KroneckerDelta":"RowBox[{\"KroneckerDelta\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the Kronecker delta SubscriptBox[\"δ\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \" \", SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \" \", \"…\"}]], equal to 1 if all the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] are equal, and 0 otherwise. ", - "KroneckerModelDecomposition":"RowBox[{\"KroneckerModelDecomposition\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] yields the Kronecker decomposition of a descriptor state-space model StyleBox[\"ssm\", \"TI\"]. ", - "KroneckerProduct":"RowBox[{\"KroneckerProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] constructs the Kronecker product of the arrays SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "KroneckerSymbol":"RowBox[{\"KroneckerSymbol\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Kronecker symbol RowBox[{\"(\", FractionBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \")\"}]. ", - "KuiperTest":"RowBox[{\"KuiperTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Kuiper test.\nRowBox[{\"KuiperTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Kuiper test.\nRowBox[{\"KuiperTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "KumaraswamyDistribution":"RowBox[{\"KumaraswamyDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Kumaraswamy distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].", - "Kurtosis":"RowBox[{\"Kurtosis\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the coefficient of kurtosis for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Kurtosis\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the coefficient of kurtosis for the distribution StyleBox[\"dist\", \"TI\"].", - "KuwaharaFilter":"RowBox[{\"KuwaharaFilter\", \"[\", StyleBox[RowBox[{\"data\", \",\", \"r\"}], \"TI\"], StyleBox[\"]\", \"TI\"]}] computes for each element StyleBox[\"p\", \"TI\"] in StyleBox[\"data\", \"TI\"] the variance of the values in the four RowBox[{RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", \"1\"}], \")\"}], \"×\", RowBox[{\"(\", RowBox[{StyleBox[\"r\", \"TI\"], \"+\", \"1\"}], \")\"}]}] squares that have StyleBox[\"p\", \"TI\"] as a corner, and replaces StyleBox[\"p\", \"TI\"] with the mean of the values of the square with least variance.", - "KVertexConnectedComponents":"RowBox[{\"KVertexConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-vertex-connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"KVertexConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-vertex-connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", - "KVertexConnectedGraphQ":"RowBox[{\"KVertexConnectedGraphQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is StyleBox[\"k\", \"TI\"]-vertex-connected and False otherwise.", - "LABColor":"RowBox[{\"LABColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] is a color directive with lightness StyleBox[\"l\", \"TI\"] and color components StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"]. \nRowBox[{\"LABColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", - "Label":"RowBox[{\"Label\", \"[\", StyleBox[\"tag\", \"TI\"], \"]\"}] represents a point in a compound expression to which control can be transferred using Goto. ", - "Labeled":"RowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"lbl\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] labeled with StyleBox[\"lbl\", \"TI\"]. \nRowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"lbl\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places StyleBox[\"lbl\", \"TI\"] at a position specified by StyleBox[\"pos\", \"TI\"]. \nRowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] places the SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] at positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Labeled\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"4\", \"TR\"]]}], \"}\"}], \",\", \"All\"}], \"]\"}] places the SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the bottom, left, top, and right, respectively. ", - "LabelingFunction":"LabelingFunction is an option for data visualization functions to automatically label elements of a visualization.", - "LabelingSize":"LabelingSize is an option to visualization functions that specifies the size to be used for labels and callouts.", - "LabelStyle":"LabelStyle is an option for formatting and related constructs that specifies the style to use in displaying their label-like elements. ", - "LaguerreL":"RowBox[{\"LaguerreL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Laguerre polynomial RowBox[{SubscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. \nRowBox[{\"LaguerreL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the generalized Laguerre polynomial RowBox[{SubsuperscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"a\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "LakeData":"RowBox[{\"LakeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the lake StyleBox[\"entity\", \"TI\"].\nRowBox[{\"LakeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified lake entities.\nRowBox[{\"LakeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "LambdaComponents":"RowBox[{\"LambdaComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the lambda components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LambdaComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the lambda components that include at least one of the vertices RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"LambdaComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "LaminaData":"RowBox[{\"LaminaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the lamina StyleBox[\"entity\", \"TI\"].\nRowBox[{\"LaminaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified lamina entities.\nRowBox[{\"LaminaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "LanczosWindow":"RowBox[{\"LanczosWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Lanczos window function of StyleBox[\"x\", \"TI\"].", - "LandauDistribution":"RowBox[{\"LandauDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Landau distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"LandauDistribution\", \"[\", \"]\"}] represents a Landau distribution with location parameter 0 and scale parameter 1.", - "Language":"Language is an option that specifies the language to use.", - "LanguageCategory":"LanguageCategory is an option for Cell that determines in what category of language the contents of the cell should be assumed to be for purposes of spell checking and hyphenation. ", - "LanguageData":"RowBox[{\"LanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the language StyleBox[\"entity\", \"TI\"].\nRowBox[{\"LanguageData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified language entities.\nRowBox[{\"LanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "LanguageIdentify":"RowBox[{\"LanguageIdentify\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine what human language text in StyleBox[\"string\", \"TI\"] is in, predominantly.", - "LaplaceDistribution":"RowBox[{\"LaplaceDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Laplace double-exponential distribution with mean StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"LaplaceDistribution\", \"[\", \"]\"}] represents a Laplace double-exponential distribution with mean 0 and scale parameter 1.", - "LaplaceTransform":"RowBox[{\"LaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Laplace transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"LaplaceTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Laplace transform of StyleBox[\"expr\", \"TI\"]. ", - "Laplacian":"RowBox[{\"Laplacian\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the Laplacian RowBox[{RowBox[{RowBox[{SuperscriptBox[\"∂\", \"2\"], StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SuperscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \"2\"]}]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", RowBox[{RowBox[{SuperscriptBox[\"∂\", \"2\"], StyleBox[\"f\", \"TI\"]}], \"\/\", RowBox[{\"∂\", SuperscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"2\"]}]}]}].\nRowBox[{\"Laplacian\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] gives the Laplacian in the given coordinates StyleBox[\"chart\", \"TI\"].", - "LaplacianFilter":"RowBox[{\"LaplacianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] convolves StyleBox[\"data\", \"TI\"] with a radius-StyleBox[\"r\", \"TI\"] Laplacian kernel.\nRowBox[{\"LaplacianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in StyleBox[\"data\", \"TI\"].", - "LaplacianGaussianFilter":"RowBox[{\"LaplacianGaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] convolves StyleBox[\"data\", \"TI\"] with a Laplacian of Gaussian kernel of pixel radius StyleBox[\"r\", \"TI\"].\nRowBox[{RowBox[{\"LaplacianGaussianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}]}], \"]\"}], \" \"}] convolves StyleBox[\"data\", \"TI\"] with a Laplacian of Gaussian kernel of radius StyleBox[\"r\", \"TI\"] and standard deviation StyleBox[\"σ\", \"TR\"].", - "Large":"Large is a style or option setting that specifies that objects should be large.", - "Larger":"Larger is a style or option setting that specifies that objects should be larger.", - "Last":"RowBox[{\"Last\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the last element in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Last\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] gives the last element if there are any elements, or StyleBox[\"def\", \"TI\"] otherwise.", - "Latitude":"RowBox[{\"Latitude\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] gives the latitude in degrees of a geographic position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Latitude\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] gives the latitude referring to the specified geodetic datum.", - "LatitudeLongitude":"RowBox[{\"LatitudeLongitude\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] gives a list of the latitude and longitude in degrees of a geographic position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"LatitudeLongitude\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] gives the latitude and longitude referring to the specified geodetic datum.", - "LatticeData":"RowBox[{\"LatticeData\", \"[\", RowBox[{StyleBox[\"lattice\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a lattice.\nRowBox[{\"LatticeData\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of named lattices of dimension StyleBox[\"n\", \"TI\"].", - "LatticeReduce":"RowBox[{\"LatticeReduce\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a reduced basis for the set of vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Launch":"Launch is a setting for the LinkMode option of LinkOpen. LinkMode->Launch causes a link to be created by launching another program.", - "LaunchKernels":"RowBox[{\"LaunchKernels\", \"[\", \"]\"}] launches all currently configured parallel subkernels.\nRowBox[{\"LaunchKernels\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] launches StyleBox[\"n\", \"TI\"] local subkernels on the current computer.\nRowBox[{\"LaunchKernels\", \"[\", StyleBox[\"ker\", \"TI\"], \"]\"}] launches the kernel specified by StyleBox[\"ker\", \"TI\"].\nRowBox[{\"LaunchKernels\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] launches the kernels SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "LayeredGraphPlot":"RowBox[{\"LayeredGraphPlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a layered plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LayeredGraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a layered plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"LayeredGraphPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"LayeredGraphPlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places the dominant vertices in the plot at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"LayeredGraphPlot\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a layered plot of the graph represented by the adjacency matrix StyleBox[\"m\", \"TI\"].", - "LayerSizeFunction":"LayerSizeFunction is an option for TreePlot that gives a function to specify the relative height to allow for each layer.", - "LCHColor":"RowBox[{\"LCHColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] is a color directive with lightness StyleBox[\"l\", \"TI\"], chroma StyleBox[\"c\", \"TI\"], and hue StyleBox[\"h\", \"TI\"].\nRowBox[{\"LCHColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", - "LCM":"RowBox[{\"LCM\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the least common multiple of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "LeaderSize":"LeaderSize is an option for Callout that specifies what sizes to use for leader lines.", - "LeafCount":"RowBox[{\"LeafCount\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the total number of indivisible subexpressions in StyleBox[\"expr\", \"TI\"]. ", - "LeapYearQ":"RowBox[{\"LeapYearQ\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] returns True if the year corresponding to StyleBox[\"date\", \"TI\"] is a leap year.", - "LearningRateMultipliers":"LearningRateMultipliers is an option for NetTrain that specifies learning rate multipliers to apply to specific layers within a NetChain, NetGraph, etc.", - "LeastSquares":"RowBox[{\"LeastSquares\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] finds an StyleBox[\"x\", \"TI\"] that solves the linear least-squares problem for the matrix equation RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"==\", StyleBox[\"b\", \"TI\"]}].", - "LeastSquaresFilterKernel":"RowBox[{\"LeastSquaresFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[RowBox[{\"k\", StyleBox[\"-\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a StyleBox[\"k\", \"TI\"]-band finite impulse response (FIR) filter kernel of length StyleBox[\"n\", \"TI\"] designed using a least squares method, given the specified frequencies SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"i\", \"TI\"]] and amplitudes SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LeastSquaresFilterKernel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses the full filter specification RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"spec\", \"TI\"]}], \"}\"}].", - "Left":"Left is a symbol that represents the left-hand side for purposes of alignment and positioning. ", - "LeftArrow":"RowBox[{\"LeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"←\", StyleBox[\"y\", \"TI\"], \"←\", StyleBox[\"…\", \"TR\"]}].", - "LeftArrowBar":"RowBox[{\"LeftArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇤\", StyleBox[\"y\", \"TI\"], \"⇤\", StyleBox[\"…\", \"TR\"]}].", - "LeftArrowRightArrow":"RowBox[{\"LeftArrowRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇆\", StyleBox[\"y\", \"TI\"], \"⇆\", StyleBox[\"…\", \"TR\"]}].", - "LeftDownTeeVector":"RowBox[{\"LeftDownTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥡\", StyleBox[\"y\", \"TI\"], \"⥡\", StyleBox[\"…\", \"TR\"]}].", - "LeftDownVector":"RowBox[{\"LeftDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇃\", StyleBox[\"y\", \"TI\"], \"⇃\", StyleBox[\"…\", \"TR\"]}].", - "LeftDownVectorBar":"RowBox[{\"LeftDownVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥙\", StyleBox[\"y\", \"TI\"], \"⥙\", StyleBox[\"…\", \"TR\"]}].", - "LeftRightArrow":"RowBox[{\"LeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↔\", StyleBox[\"y\", \"TI\"], \"↔\", StyleBox[\"…\", \"TR\"]}].", - "LeftRightVector":"RowBox[{\"LeftRightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥎\", StyleBox[\"y\", \"TI\"], \"⥎\", StyleBox[\"…\", \"TR\"]}].", - "LeftTee":"RowBox[{\"LeftTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊣\", \"y\"}].", - "LeftTeeArrow":"RowBox[{\"LeftTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↤\", StyleBox[\"y\", \"TI\"], \"↤\", StyleBox[\"…\", \"TR\"]}].", - "LeftTeeVector":"RowBox[{\"LeftTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥚\", StyleBox[\"y\", \"TI\"], \"⥚\", StyleBox[\"…\", \"TR\"]}].", - "LeftTriangle":"RowBox[{\"LeftTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊲\", StyleBox[\"y\", \"TI\"], \"⊲\", StyleBox[\"…\", \"TR\"]}].", - "LeftTriangleBar":"RowBox[{\"LeftTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⧏\", StyleBox[\"y\", \"TI\"], \"⧏\", StyleBox[\"…\", \"TR\"]}].", - "LeftTriangleEqual":"RowBox[{\"LeftTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊴\", StyleBox[\"y\", \"TI\"], \"⊴\", StyleBox[\"…\", \"TR\"]}].", - "LeftUpDownVector":"RowBox[{\"LeftUpDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥑\", StyleBox[\"y\", \"TI\"], \"⥑\", StyleBox[\"…\", \"TR\"]}].", - "LeftUpTeeVector":"RowBox[{\"LeftUpTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥠\", StyleBox[\"y\", \"TI\"], \"⥠\", StyleBox[\"…\", \"TR\"]}].", - "LeftUpVector":"RowBox[{\"LeftUpVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↿\", StyleBox[\"y\", \"TI\"], \"↿\", StyleBox[\"…\", \"TR\"]}].", - "LeftUpVectorBar":"RowBox[{\"LeftUpVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥘\", StyleBox[\"y\", \"TI\"], \"⥘\", StyleBox[\"…\", \"TR\"]}].", - "LeftVector":"RowBox[{\"LeftVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↼\", StyleBox[\"y\", \"TI\"], \"↼\", StyleBox[\"…\", \"TR\"]}].", - "LeftVectorBar":"RowBox[{\"LeftVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥒\", StyleBox[\"y\", \"TI\"], \"⥒\", StyleBox[\"…\", \"TR\"]}].", - "LegendAppearance":"LegendAppearance is an option for charting functions that specifies the appearance of any legends that are generated.", - "Legended":"RowBox[{\"Legended\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"leg\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] with legend StyleBox[\"leg\", \"TI\"]. \nRowBox[{\"Legended\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"lbl\", \"TI\"]}], \"]\"}] indicates in plotting and charting functions that a legend entry for StyleBox[\"expr\", \"TI\"] should be created, with label StyleBox[\"lbl\", \"TI\"].", - "LegendFunction":"LegendFunction is an option for legends that specifies an overall function to apply to the generated legend.", - "LegendLabel":"LegendLabel is an option for legends that specifies an overall label for a legend.", - "LegendLayout":"LegendLayout is an option for legends that specifies how to format the legend content.", - "LegendMargins":"LegendMargins is an option for legends that specifies the margins to leave around the legend.", - "LegendMarkers":"LegendMarkers is an option for legends such as PointLegend that specifies markers for each element.", - "LegendMarkerSize":"LegendMarkerSize is an option for legends such as PointLegend that specifies the size of marker regions for each element.", - "LegendreP":"RowBox[{\"LegendreP\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Legendre polynomial RowBox[{SubscriptBox[StyleBox[\"P\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. \nRowBox[{\"LegendreP\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the associated Legendre polynomial RowBox[{SubsuperscriptBox[StyleBox[\"P\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}]. ", - "LegendreQ":"RowBox[{\"LegendreQ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Legendre function of the second kind RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"LegendreQ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the associated Legendre function of the second kind RowBox[{SubsuperscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "Length":"RowBox[{\"Length\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the number of elements in StyleBox[\"expr\", \"TI\"]. ", - "LengthWhile":"RowBox[{\"LengthWhile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] gives the number of contiguous elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] starting at the beginning of StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.", - "LerchPhi":"RowBox[{\"LerchPhi\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the Lerch transcendent RowBox[{StyleBox[\"Φ\", \"TR\"], RowBox[{\"(\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}]}]. ", - "Less":"RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"y\", \"TI\"]}] yields True if x is determined to be less than y. \nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[\"x\", \"i\"] form a strictly increasing sequence. ", - "LessEqual":"RowBox[{StyleBox[\"x\", \"TI\"], \"<=\", StyleBox[\"y\", \"TI\"]}] or RowBox[{StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"y\", \"TI\"]}] yields True if StyleBox[\"x\", \"TI\"] is determined to be less than or equal to StyleBox[\"y\", \"TI\"].\nRowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"3\", \"TR\"]]}] yields True if the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]] form a nondecreasing sequence. ", - "LessEqualGreater":"RowBox[{\"LessEqualGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⋚\", \"y\", \"⋚\", \"…\"}].", - "LessEqualThan":"RowBox[{\"LessEqualThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \"≤\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"].", - "LessFullEqual":"RowBox[{\"LessFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≦\", \"y\", \"≦\", \"…\"}].", - "LessGreater":"RowBox[{\"LessGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≶\", \"y\", \"≶\", \"…\"}].", - "LessLess":"RowBox[{\"LessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≪\", \"y\", \"≪\", \"…\"}].", - "LessSlantEqual":"RowBox[{\"LessSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⩽\", \"y\", \"⩽\", \"…\"}].", - "LessThan":"RowBox[{\"LessThan\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{StyleBox[\"x\", \"TI\"], \"<\", StyleBox[\"y\", \"TI\"]}] when applied to an expression StyleBox[\"x\", \"TI\"].", - "LessTilde":"RowBox[{\"LessTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"≲\", \"y\", \"≲\", \"…\"}].", - "LetterCharacter":"LetterCharacter represents a letter character in StringExpression.", - "LetterCounts":"RowBox[{\"LetterCounts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an association whose keys are the distinct letters in StyleBox[\"string\", \"TI\"], and whose values give the number of times those letters appear in StyleBox[\"string\", \"TI\"].\nRowBox[{\"LetterCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives counts of the distinct StyleBox[\"n\", \"TI\"]-grams consisting of runs of StyleBox[\"n\", \"TI\"] letters in StyleBox[\"string\", \"TI\"].\nRowBox[{\"LetterCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] allows the characters SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] to appear in StyleBox[\"n\", \"TI\"]-grams, in addition to ordinary letters.", - "LetterNumber":"RowBox[{\"LetterNumber\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the position of the character StyleBox[\"c\", \"TI\"] in the English alphabet.\nRowBox[{\"LetterNumber\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"c\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"alpha\", \"TI\"]}], \"]\"}] gives the position of StyleBox[\"c\", \"TI\"] in the alphabet specified by StyleBox[\"alpha\", \"TI\"].\nRowBox[{\"LetterNumber\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a list of the positions of characters in StyleBox[\"string\", \"TI\"].", - "LetterQ":"RowBox[{\"LetterQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are letters, and yields False otherwise. ", - "Level":"RowBox[{\"Level\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] gives a list of all subexpressions of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Level\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the sequence of subexpressions. ", - "LeveneTest":"RowBox[{\"LeveneTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of StyleBox[\"data\", \"TI\"] is 1. \nRowBox[{\"LeveneTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are equal.\nRowBox[{\"LeveneTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"LeveneTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "LeviCivitaTensor":"RowBox[{\"LeviCivitaTensor\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] gives the StyleBox[\"d\", \"TI\"]-dimensional Levi-Civita totally antisymmetric tensor.", - "LevyDistribution":"RowBox[{\"LevyDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Lévy distribution with location parameter StyleBox[\"μ\", \"TR\"] and dispersion parameter StyleBox[\"σ\", \"TR\"].", - "LibraryDataType":"RowBox[{\"LibraryDataType\", \"[\", StyleBox[\"datatype\", \"TI\"], \"]\"}] specifies the data type for a LibraryFunction argument or result to be StyleBox[\"datatype\", \"TI\"].\nRowBox[{\"LibraryDataType\", \"[\", RowBox[{StyleBox[\"datatype\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"]}], \"]\"}] specifies an element type StyleBox[\"etype\", \"TI\"] for data structures.\nRowBox[{\"LibraryDataType\", \"[\", RowBox[{StyleBox[\"datatype\", \"TI\"], \",\", StyleBox[\"etype\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] specifies an array depth StyleBox[\"d\", \"TI\"] for array data types.", - "LibraryFunction":"RowBox[{\"LibraryFunction\", \"[\", \" \", StyleBox[\"args\", \"TI\"], \"]\"}] represents a function that has been loaded from a Wolfram Library.", - "LibraryFunctionError":"RowBox[{\"LibraryFunctionError\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"code\", \"TI\"]}], \"]\"}] represents an error returned from a LibraryFunction.", - "LibraryFunctionInformation":"RowBox[{\"LibraryFunctionInformation\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] returns information about a LibraryFunctionStyleBox[\".\", \"MR\"]", - "LibraryFunctionLoad":"RowBox[{\"LibraryFunctionLoad\", \"[\", RowBox[{StyleBox[\"lib\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"], \",\", StyleBox[\"argtype\", \"TI\"], \",\", StyleBox[\"rettype\", \"TI\"]}], \"]\"}] loads Wolfram Library StyleBox[\"lib\", \"TI\"] and makes the library function StyleBox[\"fun\", \"TI\"] available in StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"].", - "LibraryFunctionUnload":"RowBox[{\"LibraryFunctionUnload\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] unloads a LibraryFunction so that it cannot be used.", - "LibraryLoad":"RowBox[{\"LibraryLoad\", \"[\", StyleBox[\"lib\", \"TI\"], \"]\"}] loads the dynamic library StyleBox[\"lib\", \"TI\"] into the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] runtime.", - "LibraryUnload":"RowBox[{\"LibraryUnload\", \"[\", StyleBox[\"lib\", \"TI\"], \"]\"}] unloads all functions that have been loaded from a Wolfram Library, then it unloads the library.", - "LicenseID":"LicenseID is an option to Encode which specifies the required value of $LicenseID on the computer that reads the encoded file. If no value is specified, any value of $LicenseID is allowed on the file-reading computer. A setting for LicenseID must be a string.", - "LiftingFilterData":"RowBox[{\"LiftingFilterData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents lifting-filter data used to compute forward and inverse lifting wavelet transforms.", - "LiftingWaveletTransform":"RowBox[{\"LiftingWaveletTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the lifting wavelet transform (LWT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"LiftingWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the lifting wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"LiftingWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the lifting wavelet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", - "LightBlue":"LightBlue represents a light blue color in graphics or style specifications.", - "LightBrown":"LightBrown represents a light brown color in graphics or style specifications.", - "LightCyan":"LightCyan represents a light cyan color in graphics or style specifications.", - "Lighter":"RowBox[{\"Lighter\", \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] represents a lighter version of the specified color. \nRowBox[{\"Lighter\", \"[\", RowBox[{StyleBox[\"color\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a version of the specified color lightened by a fraction StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Lighter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a lighter version of an image.", - "LightGray":"LightGray represents a light gray color in graphics or style specifications.", - "LightGreen":"LightGreen represents a light green color in graphics or style specifications.", - "Lighting":"Lighting is an option for Graphics3D and related functions that specifies what simulated lighting to use in coloring 3D surfaces. ", - "LightingAngle":"LightingAngle is an option for ReliefPlot and related functions that specifies the angle from which simulated illumination is taken to come.", - "LightMagenta":"LightMagenta represents a light magenta color in graphics or style specifications.", - "LightOrange":"LightOrange represents a light orange color in graphics or style specifications.", - "LightPink":"LightPink represents a light pink color in graphics or style specifications.", - "LightPurple":"LightPurple represents a light purple color in graphics or style specifications.", - "LightRed":"LightRed represents a light red color in graphics or style specifications.", - "LightSources":"LightSources is an option for Graphics3D and related functions that specifies the properties of point light sources for simulated illumination. ", - "LightYellow":"LightYellow represents a light yellow color in graphics or style specifications.", - "Likelihood":"RowBox[{\"Likelihood\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the likelihood function for observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Likelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the likelihood function for the observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the process StyleBox[\"proc\", \"TI\"].\nRowBox[{\"Likelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the likelihood function for observations from SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the process StyleBox[\"proc\", \"TI\"].", - "Limit":"RowBox[{\"Limit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives the limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"x\", \")\"}]}], \"TI\"]}]. \nRowBox[{\"Limit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}]}]}]. \nRowBox[{\"Limit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]}], \"]\"}] gives the multivariate limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}].", - "LimitsPositioning":"LimitsPositioning is an option for UnderoverscriptBox and related boxes that specifies whether to change the positioning of underscripts and overscripts in the way conventional for limits. ", - "LimitsPositioningTokens":"LimitsPositioningTokens is an option for selections that specifies a set of characters for which the option LimitsPositioning is set to True by default.", - "LindleyDistribution":"RowBox[{\"LindleyDistribution\", \"[\", StyleBox[\"δ\", \"TR\"], \"]\"}] represents a Lindley distribution with shape parameter StyleBox[\"δ\", \"TR\"].", - "Line":"RowBox[{\"Line\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents the line segments joining a sequence for points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Line\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of lines. ", - "Line3DBoxOptions":"RowBox[{Line3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Line3DBox objects.", - "LinearFractionalTransform":"RowBox[{\"LinearFractionalTransform\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a TransformationFunction that represents a linear fractional transformation defined by the homogeneous matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"LinearFractionalTransform\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}] represents a linear fractional transformation that maps StyleBox[\"r\", \"TI\"] to RowBox[{RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"b\", \"TI\"]}], \")\"}], \"\/\", RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"r\", \"TI\"]}], \"+\", StyleBox[\"d\", \"TI\"]}], \")\"}]}]. ", - "LinearGradientImage":"RowBox[{\"LinearGradientImage\", \"[\", StyleBox[\"gcol\", \"TI\"], \"]\"}] returns an image with values linearly changing from left to right based on gradient color StyleBox[\"gcol\", \"TI\"].\nRowBox[{\"LinearGradientImage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"gcol\", \"TI\"]}], \"]\"}] returns an image where the gradient starts at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]] and ends at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"LinearGradientImage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] returns a linear gradient image of the specified StyleBox[\"size\", \"TI\"].", - "LinearizingTransformationData":"RowBox[{\"LinearizingTransformationData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents data of an AffineStateSpaceModel linearized by functions such as FeedbackLinearize and StateTransformationLinearize using transformation of variables.", - "LinearLayer":"RowBox[{\"LinearLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable, fully connected net layer that computes RowBox[{RowBox[{\"w\", \".\", \"x\"}], \"+\", \"b\"}] with output vector of size StyleBox[\"n\", \"TI\"]. \nRowBox[{\"LinearLayer\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a layer that outputs a tensor of dimensions RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"LinearLayer\", \"[\", \"]\"}] leaves the dimensions of the output tensor to be inferred from context.\nRowBox[{\"LinearLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for initial weights and other parameters. ", - "LinearModelFit":"RowBox[{\"LinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a linear model of the form RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, ….\nRowBox[{\"LinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a linear model of the form RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \"+\", StyleBox[\"…\", \"TR\"]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]]. \nRowBox[{\"LinearModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a linear model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", - "LinearOffsetFunction":"LinearOffsetFunction is an option for linear and generalized linear model fitting functions that specifies a component for the model that is to be assumed known.", - "LinearProgramming":"RowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] finds a vector StyleBox[\"x\", \"TI\"] that minimizes the quantity RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \"≥\", StyleBox[\"b\", \"TI\"]}] and RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", \"0\"}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] finds a vector StyleBox[\"x\", \"TI\"] that minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", \"0\"}] and linear constraints specified by the matrix StyleBox[\"m\", \"TI\"] and the pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}]. For each row SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] of StyleBox[\"m\", \"TI\"], the corresponding constraint is RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], \".\", StyleBox[\"x\", \"TI\"]}], \"≥\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] if RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"==\", \"1\"}], or RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], \".\", StyleBox[\"x\", \"TI\"]}], \"==\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] if RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"==\", \"0\"}], or RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]], \".\", StyleBox[\"x\", \"TI\"]}], \"≤\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] if RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"==\", RowBox[{\"-\", \"1\"}]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints specified by StyleBox[\"m\", \"TI\"] and StyleBox[\"b\", \"TI\"] and RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", StyleBox[\"l\", \"TI\"]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints specified by StyleBox[\"m\", \"TI\"] and StyleBox[\"b\", \"TI\"] and RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"≥\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes RowBox[{StyleBox[\"c\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}] subject to the constraints specified by StyleBox[\"m\", \"TI\"] and StyleBox[\"b\", \"TI\"] and RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"≤\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"≤\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]}]. \nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"lu\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] takes the elements of StyleBox[\"x\", \"TI\"] to be in the domain StyleBox[\"dom\", \"TI\"], either Reals or Integers.\nRowBox[{\"LinearProgramming\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"lu\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dom\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dom\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] to be in the domain SubscriptBox[StyleBox[\"dom\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "LinearRecurrence":"RowBox[{\"LinearRecurrence\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the sequence of length StyleBox[\"n\", \"TI\"] obtained by iterating the linear recurrence with kernel StyleBox[\"ker\", \"TI\"] starting with initial values StyleBox[\"init\", \"TI\"].\nRowBox[{\"LinearRecurrence\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term.\nRowBox[{\"LinearRecurrence\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] yields terms SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "LinearSolve":"RowBox[{\"LinearSolve\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] finds an StyleBox[\"x\", \"TI\"] that solves the matrix equation RowBox[{RowBox[{StyleBox[\"m\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"==\", StyleBox[\"b\", \"TI\"]}]. \nRowBox[{\"LinearSolve\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a RowBox[{\"LinearSolveFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"b\", \"TI\"]. ", - "LinearSolveFunction":"RowBox[{\"LinearSolveFunction\", \"[\", RowBox[{StyleBox[\"dimensions\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a function for providing solutions to a matrix equation. ", - "LineBoxOptions":"RowBox[{LineBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for LineBox objects.", - "LinebreakAdjustments":"LinebreakAdjustments is an option for selections that sets parameters used for calculating where automatic line breaks should be inserted.", - "LineBreakChart":"RowBox[{\"LineBreakChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a line break chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LineBreakChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a line break chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"LineBreakChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a line break chart where StyleBox[\"n\", \"TI\"] bars in a row cause a reversal.", - "LineBreakWithin":"LineBreakWithin is an option for selections that specifies whether line breaks occur automatically when the end of a line is reached.", - "LineGraph":"RowBox[{\"LineGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the line graph of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LineGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "LineIndent":"LineIndent is an option for Style and Cell that specifies how many ems of indentation to add at the beginnings of lines for each level of nesting in an expression. ", - "LineIndentMaxFraction":"LineIndentMaxFraction is an option for Cell, StyleBox, and Style that specifies the maximum fraction of the total page width to indent at the beginnings of lines. ", - "LineIntegralConvolutionPlot":"RowBox[{\"LineIntegralConvolutionPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"image\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a line integral convolution plot of StyleBox[\"image\", \"TI\"] convolved with the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"].\nRowBox[{\"LineIntegralConvolutionPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a line integral convolution plot of white noise with the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}].", - "LineIntegralConvolutionScale":"LineIntegralConvolutionScale is an option to LineIntegralConvolutionPlot and related functions that determines the scale of the line integral convolution to be used.", - "LineLegend":"RowBox[{\"LineLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a legend that associates color SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] with label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LineLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"Automatic\"}], \"]\"}] generates a legend with placeholder labels for the colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LineLegend\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a legend with inherited colors within visualization functions.", - "LineSpacing":"LineSpacing is an option for Style and Cell that specifies the spacing between successive lines of text. ", - "LinkActivate":"RowBox[{\"LinkActivate\", \"[\", StyleBox[\"lnk\", \"TI\"], \"]\"}] activates a WSTP connection, waiting for the program at the other end to respond.", - "LinkClose":"RowBox[{\"LinkClose\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] closes an open StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. ", - "LinkConnect":"RowBox[{\"LinkConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] connects to a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link created by another program. ", - "LinkCreate":"RowBox[{\"LinkCreate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link with the specified name for another program to connect to. \nRowBox[{\"LinkCreate\", \"[\", \"]\"}] creates a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link and picks an unused name for the link.", - "LinkError":"RowBox[{\"LinkError\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] returns error information for link in the form RowBox[{\"{\", \" \", RowBox[{StyleBox[\"errorNumber\", \"TI\"], \",\", \" \", StyleBox[\"errorExplanation\", \"TI\"]}], \" \", \"}\"}].", - "LinkFlush":"RowBox[{\"LinkFlush\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] transmits immediately any locally buffered outgoing expressions.", - "LinkFunction":"LinkFunction is an option for GeneralizedLinearModelFit that specifies the link function for the generalized linear model.", - "LinkHost":"LinkHost is an option for LinkOpen that specifies on what computer a program should be launched or on what computer a listening link will be found.", - "LinkInterrupt":"RowBox[{\"LinkInterrupt\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] sends an interrupt to the program at the other end of the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. ", - "LinkLaunch":"RowBox[{\"LinkLaunch\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prog\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] starts the external program StyleBox[\"prog\", \"TI\"] and opens a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection to it. ", - "LinkMode":"LinkMode is an option for LinkOpen that specifies how the link is to be established and connected. The possible settings for LinkMode are Launch, Listen, Connect, and Loopback.", - "LinkObject":"RowBox[{\"LinkObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] is an object that represents an active StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection for functions such as LinkRead and LinkWrite. ", - "LinkOpen":"LinkOpen[\"prog\"] starts the external program prog and opens a MathLink connection to it.", - "LinkPatterns":"RowBox[{\"LinkPatterns\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] gives a list of the patterns for which definitions were set up when the external program associated with the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection was installed. ", - "LinkProtocol":"LinkProtocol is an option to LinkLaunch, Install, and related functions that specifies the underlying data transport protocol to use for a new StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] link. ", - "LinkRankCentrality":"RowBox[{\"LinkRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives the link-rank centralities for edges in the graph StyleBox[\"g\", \"TI\"] and weight StyleBox[\"α\", \"TR\"].\nRowBox[{\"LinkRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] gives the link-rank centralities, using weight StyleBox[\"α\", \"TR\"] and initial vertex page-rank centralities StyleBox[\"β\", \"TR\"].\nRowBox[{\"LinkRankCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "LinkRead":"RowBox[{\"LinkRead\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] reads one expression from the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. \nRowBox[{\"LinkRead\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps StyleBox[\"h\", \"TI\"] around the expression read before evaluating it. ", - "LinkReadHeld":"RowBox[{\"LinkReadHeld\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] reads an expression via StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> \"MathLink\"] from StyleBox[\"link\", \"TI\"] and returns it wrapped in Hold.", - "LinkReadyQ":"RowBox[{\"LinkReadyQ\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] tests whether there is an expression ready to read from the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. \nRowBox[{\"LinkReadyQ\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] waits for up to StyleBox[\"t\", \"TI\"] seconds to see if an expression becomes ready to read.\nRowBox[{\"LinkReadyQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"link\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"link\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] tests all the SubscriptBox[StyleBox[\"link\", \"TI\"], StyleBox[\"i\", \"TI\"]] in parallel, returning as soon as any of them are ready to read from.", - "Links":"RowBox[{\"Links\", \"[\", \"]\"}] gives a list of all StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connections that are currently open. \nRowBox[{\"Links\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] lists only links whose names match the specified string pattern.", - "LinkService":"LinkService[\"service\", l] is an object that represents an active connection to the WSTP service.", - "LinkWrite":"RowBox[{\"LinkWrite\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] to the specified StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] connection. ", - "LinkWriteHeld":"RowBox[{\"LinkWriteHeld\", \"[\", RowBox[{StyleBox[\"link\", \"TI\"], \",\", \" \", RowBox[{\"Hold\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \",\", \" \", RowBox[{\"(\", RowBox[{StyleBox[\"flush\", \"TI\"], \":\", \"True\"}], \")\"}]}], \"]\"}] writes StyleBox[\"expr\", \"TI\"] (without the Hold) via StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> \"MathLink\"] to link (synchronizing unless StyleBox[\"flush\", \"TI\"] is False).", - "LiouvilleLambda":"RowBox[{\"LiouvilleLambda\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Liouville function RowBox[{\"λ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", - "List":"RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is a list of elements. ", - "Listable":"Listable is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that the function StyleBox[\"f\", \"TI\"] should automatically be threaded over lists that appear as its arguments. ", - "ListAnimate":"RowBox[{\"ListAnimate\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates an animation whose frames are the successive SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListAnimate\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"fps\", \"TI\"]}], \"]\"}] displays StyleBox[\"fps\", \"TI\"] frames per second. ", - "ListContourPlot":"RowBox[{\"ListContourPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a contour plot from an array of height values. \nRowBox[{\"ListContourPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a contour plot from values defined at specified points. ", - "ListContourPlot3D":"RowBox[{\"ListContourPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a contour plot from a three-dimensional array of values. \nRowBox[{\"ListContourPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a contour plot from values defined at specified points in three‐dimensional space. ", - "ListConvolve":"RowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] forms the convolution of the kernel StyleBox[\"ker\", \"TI\"] with StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] forms the cyclic convolution in which the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] element of StyleBox[\"ker\", \"TI\"] is aligned with each element in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}]}], \"]\"}] forms the cyclic convolution whose first element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", \"1\", \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \"]\"}], \"]\"}]}] and whose last element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"-\", \"1\"}], \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]], \"]\"}], \"]\"}]}]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] forms the convolution in which StyleBox[\"list\", \"TI\"] is padded at each end with repetitions of the element StyleBox[\"p\", \"TI\"]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] forms the convolution in which StyleBox[\"list\", \"TI\"] is padded at each end with cyclic repetitions of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] forms a generalized convolution in which StyleBox[\"g\", \"TI\"] is used in place of Times and StyleBox[\"h\", \"TI\"] in place of Plus. \nRowBox[{\"ListConvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"lev\", \"TI\"]}], \"]\"}] forms a convolution using elements at level StyleBox[\"lev\", \"TI\"] in StyleBox[\"ker\", \"TI\"] and StyleBox[\"list\", \"TI\"]. ", - "ListCorrelate":"RowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] forms the correlation of the kernel StyleBox[\"ker\", \"TI\"] with StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] forms the cyclic correlation in which the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] element of StyleBox[\"ker\", \"TI\"] is aligned with each element in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}]}], \"]\"}] forms the cyclic correlation whose first element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", \"1\", \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \"]\"}], \"]\"}]}] and whose last element contains RowBox[{RowBox[{StyleBox[\"list\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"-\", \"1\"}], \"]\"}], \"]\"}], RowBox[{StyleBox[\"ker\", \"TI\"], \"[\", RowBox[{\"[\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]], \"]\"}], \"]\"}]}]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] forms the correlation in which StyleBox[\"list\", \"TI\"] is padded at each end with repetitions of the element StyleBox[\"p\", \"TI\"]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] forms the correlation in which StyleBox[\"list\", \"TI\"] is padded at each end with cyclic repetitions of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] forms a generalized correlation in which StyleBox[\"g\", \"TI\"] is used in place of Times and StyleBox[\"h\", \"TI\"] in place of Plus. \nRowBox[{\"ListCorrelate\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"klist\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"lev\", \"TI\"]}], \"]\"}] forms a correlation using elements at level StyleBox[\"lev\", \"TI\"] in StyleBox[\"ker\", \"TI\"] and StyleBox[\"list\", \"TI\"]. ", - "ListCurvePathPlot":"RowBox[{\"ListCurvePathPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a curve that corresponds to a smooth path through the specified points. ", - "ListDeconvolve":"RowBox[{\"ListDeconvolve\", \"[\", RowBox[{StyleBox[\"ker\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] gives a deconvolution of StyleBox[\"list\", \"TI\"] using kernel StyleBox[\"ker\", \"TI\"].", - "ListDensityPlot":"RowBox[{\"ListDensityPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a smooth density plot from an array of values. \nRowBox[{\"ListDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a density plot with values defined at specified points. ", - "ListDensityPlot3D":"RowBox[{\"ListDensityPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a smooth density plot from an array of values. \nRowBox[{\"ListDensityPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a density plot with values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].", - "Listen":"Listen is a setting for the LinkMode option of LinkOpen. LinkMode->Listen causes a link to be created that listens on a named port for an incoming connection request.", - "ListFormat":"ListFormat is an option to TextString and related functions that determines how lists are formatted.", - "ListFourierSequenceTransform":"RowBox[{\"ListFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] gives the discrete-time Fourier transform (DTFT) of a list as a function of the parameter StyleBox[\"ω\", \"TR\"].\nRowBox[{\"ListFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] places the first element of StyleBox[\"list\", \"TI\"] at integer time StyleBox[\"k\", \"TI\"] on the infinite time axis.\nRowBox[{\"ListFourierSequenceTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional discrete-time Fourier transform", - "ListInterpolation":"RowBox[{\"ListInterpolation\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] constructs an InterpolatingFunction object that represents an approximate function that interpolates the array of values given. \nRowBox[{\"ListInterpolation\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the domain of the grid from which the values in StyleBox[\"array\", \"TI\"] are assumed to come. ", - "ListLineIntegralConvolutionPlot":"RowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"image\", \"TI\"]}], \"}\"}], \"]\"}] generates a line integral convolution plot of StyleBox[\"image\", \"TI\"] convolved with the vector field defined by an array of vector field values.\nRowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a line integral convolution plot of white noise convolved with the vector field defined by StyleBox[\"array\", \"TI\"].\nRowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"image\", \"TI\"]}], \"}\"}], \"]\"}] generates a line integral convolution plot of StyleBox[\"image\", \"TI\"] convolved with the vector field defined by vectors RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListLineIntegralConvolutionPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a line integral convolution plot of white noise convolved with the vector field defined by RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].", - "ListLinePlot":"RowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a line through the points RowBox[{RowBox[{\"{\", RowBox[{\"1\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"2\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}].\nRowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a line through a list of points with specific StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] positions. \nRowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ListLinePlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", - "ListLogLinearPlot":"RowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-linear plot of the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] coordinates 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-linear plot of the specified list of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] values.\nRowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots several lists of values.\nRowBox[{\"ListLogLinearPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", - "ListLogLogPlot":"RowBox[{\"ListLogLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-log plot of the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] coordinates 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListLogLogPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log-log plot of the specified list of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] values.\nRowBox[{\"ListLogLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListLotLogPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", - "ListLogPlot":"RowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log plot of the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], assumed to correspond to StyleBox[\"x\", \"TI\"] coordinates 1, 2, ….\nRowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a log plot of the specified list of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] values.\nRowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListLogPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", - "ListPicker":"RowBox[{\"ListPicker\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a list pane with setting StyleBox[\"list\", \"TI\"] that can contain possible values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPicker\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"list\", \"TI\"], with members added or removed each time an item is selected or deselected.\nRowBox[{\"ListPicker\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a list pane in which the possible value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] is indicated by SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ListPickerBox":"RowBox[{ListPickerBox, \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] is a low-level box structure that represents a list pane control.", - "ListPickerBoxOptions":"ListPickerBoxOptions is an option that specifies settings for ListPickerBox objects.", - "ListPlay":"RowBox[{\"ListPlay\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates an object that plays as a sound whose amplitude is given by the sequence of levels SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "ListPlot":"RowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points RowBox[{RowBox[{\"{\", RowBox[{\"1\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"2\", \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a list of points with specified StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] coordinates. \nRowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", - "ListPlot3D":"RowBox[{\"ListPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a three-dimensional plot of a surface representing an array of height values. \nRowBox[{\"ListPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a plot of the surface with heights SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]] at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the surfaces corresponding to each of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ListPointPlot3D":"RowBox[{\"ListPointPlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a 3D scatter plot of points with coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListPointPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a 3D scatter plot of points with a 2D array of height values.\nRowBox[{\"ListPointPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots several collections of points, by default in different colors. ", - "ListPolarPlot":"RowBox[{\"ListPolarPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points equally spaced in angle at radii SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPolarPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points at polar coordinates SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListPolarPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots several lists of values.", - "ListQ":"RowBox[{\"ListQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if the head of StyleBox[\"expr\", \"TI\"] is List, and False otherwise.", - "ListSliceContourPlot3D":"RowBox[{\"ListSliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a contour plot of the three-dimensional StyleBox[\"array\", \"TI\"] of values sliced to the surface StyleBox[\"surf\", \"TI\"].\nRowBox[{\"ListSliceContourPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a slice contour plot for the values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListSliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates slice contour plots over several slices SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", - "ListSliceDensityPlot3D":"RowBox[{\"ListSliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a density plot of the three-dimensional StyleBox[\"array\", \"TI\"] of values sliced to the surface StyleBox[\"surf\", \"TI\"].\nRowBox[{\"ListSliceDensityPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a slice density plot for the values SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] at points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListSliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates slice density plots over several slices SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", - "ListSliceVectorPlot3D":"RowBox[{\"ListSliceVectorPlot3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"]}], \"]\"}] generates a vector plot from a 3D array of vector field values over the slice surface StyleBox[\"surf\", \"TI\"].\nRowBox[{\"ListSliceVectorPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a slice vector plot over several surfaces SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. ", - "ListStepPlot":"RowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in steps at points 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] in steps at points SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"step\", \"TI\"]}], \"]\"}] plots using steps specified by StyleBox[\"step\", \"TI\"].\nRowBox[{\"ListStepPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"]. ", - "ListStreamDensityPlot":"RowBox[{\"ListStreamDensityPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a stream density plot from a 2D array of vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"ij\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListStreamDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a stream density plot from vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListStreamDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector and scalar fields. ", - "ListStreamPlot":"RowBox[{\"ListStreamPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a stream plot from an array of vector field values.\nRowBox[{\"ListStreamPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a stream plot from vector field values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListStreamPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector fields. ", - "ListSurfacePlot3D":"RowBox[{\"ListSurfacePlot3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a three-dimensional surface constructed to fit the specified points. ", - "ListVectorDensityPlot":"RowBox[{\"ListVectorDensityPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a vector plot from a 2D array of vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"ij\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"ListVectorDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a vector plot from vector and scalar field values RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListVectorDensityPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector and scalar fields. ", - "ListVectorPlot":"RowBox[{\"ListVectorPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a vector plot from an array of vector field values.\nRowBox[{\"ListVectorPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a vector plot from vector field values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"vx\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"vy\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}] given at specified points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"ListVectorPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector fields. ", - "ListVectorPlot3D":"RowBox[{\"ListVectorPlot3D\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a 3D vector plot from a 3D array of vector field values.\nRowBox[{\"ListVectorPlot3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data for several vector fields. ", - "ListZTransform":"RowBox[{\"ListZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Z transform of StyleBox[\"list\", \"TI\"] as a function of StyleBox[\"z\", \"TI\"].\nRowBox[{\"ListZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] places the first element of StyleBox[\"list\", \"TI\"] at integer time StyleBox[\"k\", \"TI\"] on the infinite time axis.\nRowBox[{\"ListZTransform\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Z transform.", - "LocalAdaptiveBinarize":"RowBox[{\"LocalAdaptiveBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] creates a binary image from StyleBox[\"image\", \"TI\"] by replacing values above the mean of the range-StyleBox[\"r\", \"TI\"] neighborhood with 1 and others with 0.\nRowBox[{\"LocalAdaptiveBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces values above RowBox[{RowBox[{\"α\", \" \", \"μ\"}], \"+\", RowBox[{\"β\", \" \", \"σ\"}], \"+\", \"γ\"}] with 1 and others with 0, where μ and σ are the local mean and standard deviation.", - "LocalCache":"RowBox[{\"LocalCache\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"uri\", \"TI\"], \"]\"}], \"]\"}] caches a cloud object in a local object.\nRowBox[{\"LocalCache\", \"[\", RowBox[{\"URL\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}], \"]\"}] caches the contents of a StyleBox[\"url\", \"TI\"] in a local object.\nRowBox[{\"LocalCache\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{\"LocalObject\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}]}], \"]\"}] caches the contents of StyleBox[\"obj\", \"TI\"] in the specified local object.", - "LocalClusteringCoefficient":"RowBox[{\"LocalClusteringCoefficient\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of local clustering coefficients of all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LocalClusteringCoefficient\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the local clustering coefficient of the vertex StyleBox[\"v\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LocalClusteringCoefficient\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "LocalizeVariables":"LocalizeVariables is an option to Manipulate that determines whether the values of variables associated with controls should be localized.", - "LocalObject":"RowBox[{\"LocalObject\", \"[\", \"]\"}] represents a new anonymous local object.\nRowBox[{\"LocalObject\", \"[\", \"StyleBox[RowBox[{RowBox[{file, :}], RowBox[{\/\/, \/}]}], AutoSpacing -> False] StyleBox[…, TR]\", \"]\"}] represents a local object with a given file path.\nRowBox[{\"LocalObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a local object with the given relative path.\nRowBox[{\"LocalObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"relpath\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"lbase\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a local object relative to the base StyleBox[\"lbase\", \"TI\"].", - "LocalObjects":"RowBox[{\"LocalObjects\", \"[\", \"]\"}] gives a list of local objects in your current local base directory.\nRowBox[{\"LocalObjects\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] gives a list of local objects in the local directory StyleBox[\"dir\", \"TI\"].", - "LocalResponseNormalizationLayer":"RowBox[{\"LocalResponseNormalizationLayer\", \"[\", \"]\"}] represents a net layer that normalizes its input by averaging across neighboring input channels.", - "LocalSubmit":"RowBox[{\"LocalSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in a separate kernel.\nRowBox[{\"LocalSubmit\", \"[\", RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \" \", StyleBox[\"spec\", \"TI\"]}], \"]\"}], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in a separate kernel on the schedule defined by StyleBox[\"spec\", \"TI\"].", - "LocalSymbol":"RowBox[{\"LocalSymbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a symbol whose value is persistently stored in the local file system.\nRowBox[{\"LocalSymbol\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] represents a persistent symbol corresponding to the local object StyleBox[\"obj\", \"TI\"].", - "LocalTime":"RowBox[{\"LocalTime\", \"[\", \"]\"}] gives a DateObject corresponding to the current local time at the current geo location.\nRowBox[{\"LocalTime\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the current local time at the geo location specified by StyleBox[\"loc\", \"TI\"].\nRowBox[{\"LocalTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] gives the local time corresponding to the date object StyleBox[\"time\", \"TI\"] at the geo location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"LocalTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended geographic regions.", - "LocalTimeZone":"RowBox[{\"LocalTimeZone\", \"[\", \"]\"}] gives the current time zone for the current geo location.\nRowBox[{\"LocalTimeZone\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the current time zone for the geo location specified by StyleBox[\"loc\", \"TI\"].\nRowBox[{\"LocalTimeZone\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the time zone for the geo location StyleBox[\"loc\", \"TI\"] on the specified date.\nRowBox[{\"LocalTimeZone\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property of the time zone.", - "LocationEquivalenceTest":"RowBox[{\"LocationEquivalenceTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the means or medians of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] are equal. \nRowBox[{\"LocationEquivalenceTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "LocationTest":"RowBox[{\"LocationTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean or median of the StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"LocationTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means or medians of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"LocationTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests a location measure against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"LocationTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Locator":"RowBox[{\"Locator\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] represents a locator object at position RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in a graphic. \nRowBox[{\"Locator\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}], \"]\"}] takes the position to be the dynamically updated current value of StyleBox[\"pos\", \"TI\"], with this value being reset if the locator object is moved. \nRowBox[{\"Locator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] displays StyleBox[\"obj\", \"TI\"] as the locator object. \nRowBox[{\"Locator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", \"None\"}], \"]\"}] displays nothing visible as the locator object. ", - "LocatorAutoCreate":"LocatorAutoCreate is an option for LocatorPane, Manipulate, and related functions that specifies whether new locators should be created when clicking away from existing locators.", - "LocatorBoxOptions":"RowBox[{LocatorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for LocatorBox objects.", - "LocatorPane":"RowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] represents a pane with a locator at position RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] and background StyleBox[\"back\", \"TI\"].\nRowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"pt\", \"TI\"], \"]\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] takes the locator position to be the dynamically updated current value of StyleBox[\"pt\", \"TI\"], with the value of StyleBox[\"pt\", \"TI\"] being reset if the locator is moved.\nRowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] sets up multiple locators at positions SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"LocatorPane\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"back\", \"TI\"]}], \"]\"}] takes the locator positions to be dynamically updated current values of the SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"LocatorPane\", \"[\", RowBox[{StyleBox[\"pts\", \"TI\"], \",\", StyleBox[\"back\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] specifies the range of coordinates for the locator.\nRowBox[{\"LocatorPane\", \"[\", RowBox[{StyleBox[\"pts\", \"TI\"], \",\", StyleBox[\"back\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses jumps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"]. ", - "LocatorPaneBoxOptions":"RowBox[{LocatorPaneBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for LocatorPaneBox objects.", - "LocatorRegion":"LocatorRegion is an option for Locator that specifies where the locator object should by default be allowed to go when it is dragged.", - "Locked":"Locked is an attribute that, once assigned, prevents modification of any attributes of a symbol. ", - "Log":"RowBox[{\"Log\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the natural logarithm of StyleBox[\"z\", \"TI\"] (logarithm to base e). \nRowBox[{\"Log\", \"[\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the logarithm to base StyleBox[\"b\", \"TI\"]. ", - "Log10":"RowBox[{\"Log10\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the base-10 logarithm of StyleBox[\"x\", \"TI\"].", - "Log2":"RowBox[{\"Log2\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the base-2 logarithm of StyleBox[\"x\", \"TI\"].", - "LogBarnesG":"RowBox[{\"LogBarnesG\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the logarithm of the Barnes StyleBox[\"G\", FontSlant -> \"Italic\"]-function RowBox[{\"logG\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "LogGamma":"RowBox[{\"LogGamma\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the logarithm of the gamma function RowBox[{\"log\", \" \", RowBox[{\"Γ\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]}]. ", - "LogGammaDistribution":"RowBox[{\"LogGammaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a log-gamma distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"] and location parameter StyleBox[\"μ\", \"TR\"].", - "LogicalExpand":"RowBox[{\"LogicalExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out logical combinations of equations, inequalities, and other functions. ", - "LogIntegral":"RowBox[{\"LogIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] is the logarithmic integral function RowBox[{\"li\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "LogisticDistribution":"RowBox[{\"LogisticDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a logistic distribution with mean StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"LogisticDistribution\", \"[\", \"]\"}] represents a logistic distribution with mean 0 and scale parameter 1.", - "LogisticSigmoid":"RowBox[{\"LogisticSigmoid\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the logistic sigmoid function.", - "LogitModelFit":"RowBox[{\"LogitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a binomial logistic regression model of the form RowBox[{\"1\", \"\/\", RowBox[{\"(\", RowBox[{\"1\", \"+\", SuperscriptBox[\"\", RowBox[{\"-\", RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"…\"}], \")\"}]}]]}], \")\"}]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, StyleBox[\"…\", \"TR\"].\nRowBox[{\"LogitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a binomial logistic regression model of the form RowBox[{\"1\", \"\/\", RowBox[{\"(\", RowBox[{\"1\", \"+\", SuperscriptBox[\"\", RowBox[{\"-\", RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"…\"}], \")\"}]}]]}], \")\"}]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"LogitModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a binomial logistic regression model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", - "LogLikelihood":"RowBox[{\"LogLikelihood\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the log‐likelihood function for observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{RowBox[{\"LogLikelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}]}]}]}], \"]\"}] gives the log-likelihood function for the observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] at time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the process StyleBox[\"proc\", \"TI\"].\nRowBox[{\"LogLikelihood\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the log-likelihood function for the observations from SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], … from the process StyleBox[\"proc\", \"TI\"].", - "LogLinearPlot":"RowBox[{\"LogLinearPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a log-linear plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"LogLinearPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"LogLinearPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"LogLinearPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", - "LogLogisticDistribution":"RowBox[{\"LogLogisticDistribution\", \"[\", RowBox[{StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a log-logistic distribution with shape parameter StyleBox[\"γ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].", - "LogLogPlot":"RowBox[{\"LogLogPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a log-log plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"LogLogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"LogLogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"LogLogPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", - "LogMultinormalDistribution":"RowBox[{\"LogMultinormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a log-multinormal distribution with parameters StyleBox[\"μ\", \"TR\"] and StyleBox[\"Σ\", \"TR\"].", - "LogNormalDistribution":"RowBox[{\"LogNormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a lognormal distribution derived from a normal distribution with mean StyleBox[\"μ\", \"TR\"] and standard deviation StyleBox[\"σ\", \"TR\"].", - "LogPlot":"RowBox[{\"LogPlot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a log plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"LogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"LogPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"LogPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", - "LogRankTest":"RowBox[{\"LogRankTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests for equal hazard rates among the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] using a log-rank type test. \nRowBox[{\"LogRankTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wspec\", \"TI\"]}], \"]\"}] performs a weighted log-rank test with weights StyleBox[\"wspec\", \"TI\"]. \nRowBox[{\"LogRankTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "LogSeriesDistribution":"RowBox[{\"LogSeriesDistribution\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] represents a logarithmic series distribution with parameter StyleBox[\"θ\", \"TR\"].", - "Longest":"RowBox[{\"Longest\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that matches the longest sequence consistent with the pattern StyleBox[\"p\", \"TI\"]. ", - "LongestCommonSequence":"RowBox[{\"LongestCommonSequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest sequence of contiguous or disjoint elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "LongestCommonSequencePositions":"RowBox[{\"LongestCommonSequencePositions\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest sequence of contiguous or disjoint elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]] and returns their positions.", - "LongestCommonSubsequence":"RowBox[{\"LongestCommonSubsequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest contiguous subsequence of elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "LongestCommonSubsequencePositions":"RowBox[{\"LongestCommonSubsequencePositions\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds the longest contiguous subsequence of elements common to the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]] and returns their positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}] in SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "LongestMatch":"LongestMatch[StyleBox[\"p\", \"TI\"]] is a string pattern object matching the longest sequence of characters consistent with the string pattern StyleBox[\"p\", \"TI\"].", - "LongestOrderedSequence":"RowBox[{\"LongestOrderedSequence\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the longest ordered sequence of contiguous or disjoint elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"LongestOrderedSequence\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] finds the longest ordered sequence using the ordering function StyleBox[\"p\", \"TI\"].", - "LongForm":"LongForm is an option for Information. With RowBox[{\"LongForm\", \" \", \"->\", \" \", \"True\"}], the full information of a symbol is printed. With RowBox[{\"LongForm\", \" \", \"->\", \" \", \"False\"}] the usage of a symbol is printed.", - "Longitude":"RowBox[{\"Longitude\", \"[\", StyleBox[\"pos\", \"TI\"], \"]\"}] gives the longitude in degrees of a geographic position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Longitude\", \"[\", RowBox[{StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"datum\", \"TI\"]}], \"]\"}] gives the longitude referring to the specified geodetic datum.", - "LongLeftArrow":"RowBox[{\"LongLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟵\", StyleBox[\"y\", \"TI\"], \"⟵\", StyleBox[\"…\", \"TR\"]}].", - "LongLeftRightArrow":"RowBox[{\"LongLeftRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟷\", StyleBox[\"y\", \"TI\"], \"⟷\", StyleBox[\"…\", \"TR\"]}].", - "LongRightArrow":"RowBox[{\"LongRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⟶\", StyleBox[\"y\", \"TI\"], \"⟶\", StyleBox[\"…\", \"TR\"]}].", - "LongShortTermMemoryLayer":"RowBox[{\"LongShortTermMemoryLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a trainable recurrent layer that takes a sequence of vectors and produces a sequence of vectors, each of size StyleBox[\"n\", \"TI\"].\nRowBox[{\"LongShortTermMemoryLayer\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for weights and other parameters. ", - "Lookup":"RowBox[{\"Lookup\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] looks up the value associated with StyleBox[\"key\", \"TI\"] in the association StyleBox[\"assoc\", \"TI\"]; if the key is not present, RowBox[{\"Missing\", \"[\", RowBox[{StyleBox[\"\\\"KeyAbsent\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] is returned.\nRowBox[{\"Lookup\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the values associated with the SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Lookup\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"key\", \"TI\"]}], \"]\"}] gives a list corresponding to the value of StyleBox[\"key\", \"TI\"] in each SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Lookup\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"key\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if the StyleBox[\"key\", \"TI\"] is not present.\nRowBox[{\"Lookup\", \"[\", StyleBox[\"key\", \"TI\"], \"]\"}] represents an operator form of Lookup that can be applied to an expression.", - "Loopback":"Loopback is a setting for the LinkMode option of LinkOpen. LinkMode->Loopback causes a link to be created that is not connected to another program. Expressions written to the link are read back from the same link.", - "LoopFreeGraphQ":"RowBox[{\"LoopFreeGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] has no self-loops, and False otherwise.", - "LossFunction":"LossFunction is an option for NetTrain that specifies how to compare actual and requested outputs from a neural net.", - "LowerCaseQ":"RowBox[{\"LowerCaseQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are lowercase letters, and yields False otherwise. ", - "LowerLeftArrow":"RowBox[{\"LowerLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↙\", StyleBox[\"y\", \"TI\"], \"↙\", StyleBox[\"…\", \"TR\"]}].", - "LowerRightArrow":"RowBox[{\"LowerRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↘\", StyleBox[\"y\", \"TI\"], \"↘\", StyleBox[\"…\", \"TR\"]}].", - "LowerTriangularize":"RowBox[{\"LowerTriangularize\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a matrix in which all but the lower triangular elements of StyleBox[\"m\", \"TI\"] are replaced with zeros. \nRowBox[{\"LowerTriangularize\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] replaces with zeros only the elements above the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] subdiagonal of StyleBox[\"m\", \"TI\"].", - "LowpassFilter":"RowBox[{\"LowpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]]}], \"]\"}] applies a lowpass filter with a cutoff frequency SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]] to an array of data.\nRowBox[{\"LowpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses a filter kernel of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"LowpassFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"c\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to the filter kernel.", - "LQEstimatorGains":"RowBox[{\"LQEstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the optimal estimator gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"], with process and measurement noise covariance matrices StyleBox[\"w\", \"TI\"] and StyleBox[\"v\", \"TI\"].\nRowBox[{\"LQEstimatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the cross-covariance matrix StyleBox[\"h\", \"TI\"].\nRowBox[{\"LQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the noisy measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"LQEstimatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", - "LQGRegulator":"RowBox[{\"LQGRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] constructs the optimal feedback regulator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] using noisy measurements StyleBox[\"sensors\", \"TI\"] and feedback inputs StyleBox[\"finputs\", \"TI\"]. The process, measurement, and cross-covariance matrices are StyleBox[\"w\", \"TI\"], StyleBox[\"v\", \"TI\"], and StyleBox[\"h\", \"TI\"]; and the state, input, and state-input weighting matrices are StyleBox[\"q\", \"TI\"], StyleBox[\"r\", \"TI\"], and StyleBox[\"p\", \"TI\"].\nRowBox[{\"LQGRegulator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"], \",\", StyleBox[\"einputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"einputs\", \"TI\"] as the exogenous deterministic inputs.", - "LQOutputRegulatorGains":"RowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the optimal state feedback gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] and the quadratic cost function, with output and control weighting matrices StyleBox[\"q\", \"TI\"] and StyleBox[\"r\", \"TI\"].\nRowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the output-control cross-coupling matrix StyleBox[\"p\", \"TI\"] in the cost function.\nRowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"sensors\", \"TI\"] as the measured outputs of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"LQOutputRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"finputs\", \"TI\"] as the feedback inputs of StyleBox[\"ssm\", \"TI\"].", - "LQRegulatorGains":"RowBox[{\"LQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the optimal state feedback gain matrix for the StateSpaceModel StyleBox[\"ssm\", \"TI\"] and the quadratic cost function, with state and control weighting matrices StyleBox[\"q\", \"TI\"] and StyleBox[\"r\", \"TI\"].\nRowBox[{\"LQRegulatorGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] includes the state-control cross-coupling matrix StyleBox[\"p\", \"TI\"] in the cost function.\nRowBox[{\"LQRegulatorGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"finputs\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \"]\"}] specifies StyleBox[\"finputs\", \"TI\"] as the feedback inputs of StyleBox[\"ssm\", \"TI\"].", - "LucasL":"RowBox[{\"LucasL\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Lucas number SubscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"LucasL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Lucas polynomial RowBox[{SubscriptBox[StyleBox[\"L\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", - "LuccioSamiComponents":"RowBox[{\"LuccioSamiComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the Luccio–Sami components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"LuccioSamiComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"LuccioSamiComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "LUDecomposition":"RowBox[{\"LUDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a representation of the LU decomposition of a square matrix StyleBox[\"m\", \"TI\"]. ", - "LunarEclipse":"RowBox[{\"LunarEclipse\", \"[\", \"]\"}] gives the time of the next lunar eclipse.\nRowBox[{\"LunarEclipse\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the time for the next lunar eclipse after the specified date.\nRowBox[{\"LunarEclipse\", \"[\", StyleBox[\"propertyspec\", \"TI\"], \"]\"}] gives the specified property value for the next lunar eclipse.\nRowBox[{\"LunarEclipse\", \"[\", RowBox[{StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"propertyspec\", \"TI\"]}], \"]\"}] gives the specified property value for the next lunar eclipse after the specified date.", - "LUVColor":"RowBox[{\"LUVColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] is a color directive with lightness StyleBox[\"l\", \"TI\"] and color components StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].\nRowBox[{\"LUVColor\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", - "LyapunovSolve":"RowBox[{\"LyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] finds a solution StyleBox[\"x\", \"TI\"] of the matrix Lyapunov equation RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"LyapunovSolve\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"LyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"d\", \"TI\"], \"\"}]}], \"+\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", RowBox[{StyleBox[\"a\", \"TI\"], \"\"}]}]}], \"\", StyleBox[\"c\", \"TI\"]}].\nRowBox[{\"LyapunovSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"e\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] solves RowBox[{RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"e\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"d\", \"TI\"], \".\", StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}]}], \"\", StyleBox[\"c\", \"TI\"]}].", - "LyonsGroupLy":"RowBox[{\"LyonsGroupLy\", \"[\", \"]\"}] represents the sporadic simple Lyons group Ly.", - "MachineID":"MachineID is an option to Encode which specifies the required value of $MachineID on the computer that reads the encoded file. If no value is specified, any value of $MachineID is allowed on the file-reading computer. A setting for MachineID must be a string.", - "MachineName":"MachineName is an option to Encode which specifies the required value of $MachineName on the computer that reads the encoded file. If no value is specified, any value of $MachineName is allowed on the file-reading computer. A setting for MachineName must be a string.", - "MachineNumberQ":"RowBox[{\"MachineNumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a machine‐precision real or complex number, and returns False otherwise. ", - "MachinePrecision":"MachinePrecision is a symbol used to indicate machine‐number precision. ", - "Magenta":"Magenta represents the color magenta in graphics or style specifications. ", - "Magnification":"Magnification is an option for Style and Cell that specifies what magnification to use for display. ", - "Magnify":"RowBox[{\"Magnify\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents an object to be displayed with magnification StyleBox[\"r\", \"TI\"]. \nRowBox[{\"Magnify\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with StyleBox[\"expr\", \"TI\"] magnified by a fixed factor.", - "MailAddressValidation":"MailAddressValidation is an option for SendMail that specifies whether and how to validate email addresses.", - "MailExecute":"RowBox[{\"MailExecute\", \"[\", RowBox[{StyleBox[\"cmd\", \"TI\"], \",\", StyleBox[\"target\", \"TI\"]}], \"]\"}] executes the mail command StyleBox[\"cmd\", \"TI\"] on the mail item or folder given.", - "MailFolder":"RowBox[{\"MailFolder\", \"[\", \"…\", \"]\"}] represents a mail folder associated with an active mail server connection.", - "MailItem":"RowBox[{\"MailItem\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an item of mail associated with an active mail server connection.", - "MailReceiverFunction":"RowBox[{\"MailReceiverFunction\", \"[\", StyleBox[\"fun\", \"TI\"], \"]\"}] represents a mail receiver function that applies StyleBox[\"fun\", \"TI\"] to any mail message it receives.", - "MailResponseFunction":"MailResponseFunction is an option for MailReceiverFunction that specifies what function to apply to respond to the sender of mail received by a MailReceiverFunction.", - "MailSearch":"RowBox[{\"MailSearch\", \"[\", RowBox[{StyleBox[\"folder\", \"TI\"], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] searches the specified mail folder for messages with properties matching elements in StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"MailSearch\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] searches the current default mail inbox.\nRowBox[{\"MailSearch\", \"[\", \"]\"}] gives the list of unread messages in the current default mail inbox.", - "MailServerConnect":"RowBox[{\"MailServerConnect\", \"[\", \"]\"}] connects to your default incoming mail server.\nRowBox[{\"MailServerConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"server\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] connects to the specified incoming mail server \"StyleBox[\"server\", \"TI\"]\".\nRowBox[{\"MailServerConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"server\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"userid\", \"TI\"]}], \"]\"}] connects using the specified user ID StyleBox[\"userid\", \"TI\"].\nRowBox[{\"MailServerConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"server\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"userid\", \"TI\"], \",\", StyleBox[\"password\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] connects using StyleBox[\"userid\", \"TI\"] and StyleBox[\"password\", \"TI\"].", - "MailServerConnection":"RowBox[{\"MailServerConnection\", \"[\", \"…\", \"]\"}] is a symbol representation of a connection to an incoming mail server.", - "MailSettings":"MailSettings is an option for SendMail and MailServerConnect to specify mail settings.", - "MainSolve":"RowBox[{\"MainSolve\", \"[\", StyleBox[\"eqns\", \"TI\"], \"]\"}] is the underlying function for transforming systems of equations. Solve and Eliminate call it. The equations must be of the form RowBox[{StyleBox[\"lhs\", \"TI\"], \" \", \"==\", \" \", StyleBox[\"rhs\", \"TI\"]}]. They can be combined using && and ||. MainSolve returns False if no solutions to the equations exist, and True if all values of variables are solutions. MainSolve rearranges the equations using certain directives. RowBox[{\"MainSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", \" \", StyleBox[\"vars\", \"TI\"], \",\", \" \", StyleBox[\"elim\", \"TI\"], \",\", \" \", StyleBox[\"rest\", \"TI\"]}], \"]\"}] attempts to rearrange the equations StyleBox[\"eqns\", \"TI\"] so as to solve for the variables StyleBox[\"vars\", \"TI\"], and eliminate the variables StyleBox[\"elim\", \"TI\"]. The list StyleBox[\"rest\", \"TI\"] can be included to specify the elimination order for any remaining variables.", - "Majority":"RowBox[{\"Majority\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives True if the majority of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and False if the majority are False.", - "MakeBoxes":"RowBox[{MakeBoxes, \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] is the low‐level function used in StyleBox[\"Wolfram System\", \"RebrandingTerm\"] sessions to convert expressions into boxes. \nRowBox[{MakeBoxes, \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is the function to convert StyleBox[\"expr\", \"TI\"] to StandardForm boxes.", - "MakeExpression":"RowBox[{\"MakeExpression\", \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] is the low‐level function used in StyleBox[\"Wolfram System\", \"RebrandingTerm\"] sessions to construct expressions from boxes. ", - "MakeRules":"MakeRules is an option to Solve and related functions. With RowBox[{\"MakeRules\", \" \", \"->\", \" \", \"True\"}], the result is presented as an AlgebraicRulesData object. With RowBox[{\"MakeRules\", \" \", \"->\", \" \", \"False\"}], the result is presented as a list of rules.", - "ManagedLibraryExpressionID":"RowBox[{\"ManagedLibraryExpressionID\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the positive integer ID associated with StyleBox[\"expr\", \"TI\"] if it is a managed library expression and $Failed otherwise.\nRowBox[{\"ManagedLibraryExpressionID\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"mname\", \"TI\"]}], \"]\"}] only returns the ID if StyleBox[\"expr\", \"TI\"] is associated with the registered manager having name StyleBox[\"mname\", \"TI\"].", - "ManagedLibraryExpressionQ":"RowBox[{\"ManagedLibraryExpressionQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a managed library expression and False otherwise.\nRowBox[{\"ManagedLibraryExpressionQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"mname\", \"TI\"]}], \"]\"}] only returns True if StyleBox[\"expr\", \"TI\"] is associated with the registered manager having name StyleBox[\"mname\", \"TI\"].", - "MandelbrotSetBoettcher":"RowBox[{\"MandelbrotSetBoettcher\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives an approximation of the Böttcher function of StyleBox[\"z\", \"TI\"], which maps the complement of the Mandelbrot set conformally to the complement of the closed unit disk.", - "MandelbrotSetDistance":"RowBox[{\"MandelbrotSetDistance\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] estimates the distance from StyleBox[\"c\", \"TI\"] to the nearest point in the Mandelbrot set.\nRowBox[{\"MandelbrotSetDistance\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"\\\"Interior\\\"\",ShowStringCharacters->True]}], \"]\"}] estimates the distance from StyleBox[\"c\", \"TI\"] to the nearest point in the complement of the Mandelbrot set.", - "MandelbrotSetIterationCount":"RowBox[{\"MandelbrotSetIterationCount\", \"[\", StyleBox[\"c\", \"TI\"], \"]\"}] returns the number of iterations of the function RowBox[{RowBox[{\"f\", \"(\", \"z\", \")\"}], \"\", RowBox[{SuperscriptBox[\"z\", \"2\"], \"+\", \"c\"}]}], beginning with RowBox[{\"z\", \"\", \"0\"}], that are needed to determine whether StyleBox[\"c\", \"TI\"] is in the Mandelbrot set.", - "MandelbrotSetMemberQ":"RowBox[{\"MandelbrotSetMemberQ\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] returns True if StyleBox[\"z\", \"TI\"] is in the Mandelbrot set, and False otherwise.", - "MandelbrotSetPlot":"RowBox[{\"MandelbrotSetPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] plots the portion of the Mandelbrot set inside the rectangle with corners SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"MandelbrotSetPlot\", \"[\", \"]\"}] plots the Mandelbrot set over a default rectangle.", - "MangoldtLambda":"RowBox[{\"MangoldtLambda\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the von Mangoldt function RowBox[{\"Λ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", - "ManhattanDistance":"RowBox[{\"ManhattanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Manhattan or \"city block\" distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "Manipulate":"RowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a version of StyleBox[\"expr\", \"TI\"] with controls added to allow interactive manipulation of the value of StyleBox[\"u\", \"TI\"]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] allows the value of StyleBox[\"u\", \"TI\"] to vary between SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps StyleBox[\"du\", \"TI\"]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the initial value of StyleBox[\"u\", \"TI\"] to be SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"init\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"lbl\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] labels the controls for StyleBox[\"u\", \"TI\"] with SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"lbl\", \"TI\"]]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] allows StyleBox[\"u\", \"TI\"] to take on discrete values RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] provides controls to manipulate each of the RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}]. \nRowBox[{\"Manipulate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"u\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"v\", \"TI\"]], \"\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] links the controls to the specified controllers on an external device.", - "Manipulator":"RowBox[{\"Manipulator\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a manipulator with setting StyleBox[\"x\", \"TI\"] in the range 0 to 1. \nRowBox[{\"Manipulator\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the manipulator is moved. \nRowBox[{\"Manipulator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a manipulator with range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Manipulator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a manipulator that jumps in steps StyleBox[\"dx\", \"TI\"]. ", - "MannedSpaceMissionData":"RowBox[{\"MannedSpaceMissionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the manned space mission StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MannedSpaceMissionData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified manned space mission entities.\nRowBox[{\"MannedSpaceMissionData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "MannWhitneyTest":"RowBox[{\"MannWhitneyTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the medians of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"MannWhitneyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the median difference against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"MannWhitneyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "MantissaExponent":"RowBox[{\"MantissaExponent\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a list containing the mantissa and exponent of a number StyleBox[\"x\", \"TI\"]. \nRowBox[{\"MantissaExponent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives the base‐StyleBox[\"b\", \"TI\"] mantissa and exponent of StyleBox[\"x\", \"TI\"]. ", - "Manual":"Manual represents an option or other value that is to be selected manually, usually by some form of interactive manipulation.", - "Map":"RowBox[{\"Map\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"\/@\", StyleBox[\"expr\", \"TI\"]}] applies StyleBox[\"f\", \"TI\"] to each element on the first level in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Map\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Map\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Map that can be applied to an expression.", - "MapAll":"RowBox[{\"MapAll\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"f\", \"TI\"], \"\/\/@\", StyleBox[\"expr\", \"TI\"]}] applies StyleBox[\"f\", \"TI\"] to every subexpression in StyleBox[\"expr\", \"TI\"]. ", - "MapAt":"RowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the element at position StyleBox[\"n\", \"TI\"] in StyleBox[\"expr\", \"TI\"]. If StyleBox[\"n\", \"TI\"] is negative, the position is counted from the end. \nRowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the part of StyleBox[\"expr\", \"TI\"] at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to parts of StyleBox[\"expr\", \"TI\"] at several positions. \nRowBox[{\"MapAt\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] represents an operator form of MapAt that can be applied to an expression.", - "MapIndexed":"RowBox[{\"MapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the elements of StyleBox[\"expr\", \"TI\"], giving the part specification of each element as a second argument to StyleBox[\"f\", \"TI\"]. \nRowBox[{\"MapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to all parts of StyleBox[\"expr\", \"TI\"] on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"MapIndexed\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MapIndexed that can be applied to an expression.", - "MAProcess":"RowBox[{\"MAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a moving-average process of order StyleBox[\"q\", \"TI\"] with normal white noise variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"MAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector MA process with multinormal white noise covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"MAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents an MA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"MAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an MA process with a constant StyleBox[\"c\", \"TI\"].", - "MapThread":"RowBox[{\"MapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"MapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the parts of the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"n\", \"TI\"].\nRowBox[{\"MapThread\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MapThread that can be applied to an expression.", - "MarchenkoPasturDistribution":"RowBox[{\"MarchenkoPasturDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Marchenko–Pastur distribution with asymptotic ratio λ and scale parameter σ.\nRowBox[{\"MarchenkoPasturDistribution\", \"[\", StyleBox[\"λ\", \"TR\"], \"]\"}] represents a Marchenko–Pastur distribution with unit scale parameter.", - "MarcumQ":"RowBox[{\"MarcumQ\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives Marcum's Q function RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \")\"}].\nRowBox[{\"MarcumQ\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] gives Marcum's Q function RowBox[{RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"0\"]}], \")\"}], \"-\", RowBox[{SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], \"1\"]}], \")\"}]}].", - "MardiaCombinedTest":"RowBox[{\"MardiaCombinedTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] follows a MultinormalDistribution using the Mardia combined test.\nRowBox[{\"MardiaCombinedTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "MardiaKurtosisTest":"RowBox[{\"MardiaKurtosisTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] follows a MultinormalDistribution using the Mardia kurtosis test.\nRowBox[{\"MardiaKurtosisTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "MardiaSkewnessTest":"RowBox[{\"MardiaSkewnessTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] follows a MultinormalDistribution using the Mardia skewness test.\nRowBox[{\"MardiaSkewnessTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "MarginalDistribution":"RowBox[{\"MarginalDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a univariate marginal distribution of the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] coordinate from the multivariate distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"MarginalDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a multivariate marginal distribution of the RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] coordinates.", - "MarkovProcessProperties":"RowBox[{\"MarkovProcessProperties\", \"[\", StyleBox[\"mproc\", \"TI\"], \"]\"}] gives a summary of properties for the finite state Markov process StyleBox[\"mproc\", \"TI\"].\nRowBox[{\"MarkovProcessProperties\", \"[\", RowBox[{StyleBox[\"mproc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified \"\nStyleBox[\"property\", \"TI\"]\" for the process StyleBox[\"mproc\", \"TI\"].", - "Masking":"Masking is an option for various image and signal processing functions that specifies on which regions they should operate.", - "MatchingDissimilarity":"RowBox[{\"MatchingDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the matching dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "MatchLocalNameQ":"MatchLocalNameQ is an internal symbol.", - "MatchLocalNames":"MatchLocalNames is an option for Trace and related functions that specifies whether symbols such as StyleBox[\"x\", \"TI\"] should match symbols with local names of the form StyleBox[RowBox[{StyleBox[\"x\", \"TI\"], \"$\", StyleBox[\"nnn\", \"TI\"]}]]. ", - "MatchQ":"RowBox[{\"MatchQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns True if the pattern StyleBox[\"form\", \"TI\"] matches StyleBox[\"expr\", \"TI\"], and returns False otherwise.\nRowBox[{\"MatchQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of MatchQ that can be applied to an expression.", - "MathematicalFunctionData":"RowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the mathematical function specified by StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the sub-property StyleBox[\"annotation\", \"TI\"] corresponding to the given StyleBox[\"entity\", \"TI\"] and StyleBox[\"property\", \"TI\"].\t\nRowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the property value with the property qualifiers SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] set to the given values.\nRowBox[{\"MathematicalFunctionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the sub-property StyleBox[\"annotation\", \"TI\"] corresponding to the given StyleBox[\"entity\", \"TI\"] and StyleBox[\"property\", \"TI\"] with the property qualifiers SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"qual\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] set to the given values.", - "MathieuC":"RowBox[{\"MathieuC\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the even Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", - "MathieuCharacteristicA":"RowBox[{\"MathieuCharacteristicA\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the characteristic value SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"r\", \"TI\"]] for even Mathieu functions with characteristic exponent StyleBox[\"r\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", - "MathieuCharacteristicB":"RowBox[{\"MathieuCharacteristicB\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the characteristic value SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"r\", \"TI\"]] for odd Mathieu functions with characteristic exponent StyleBox[\"r\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", - "MathieuCharacteristicExponent":"RowBox[{\"MathieuCharacteristicExponent\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the characteristic exponent StyleBox[\"r\", \"TI\"] for Mathieu functions with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", - "MathieuCPrime":"RowBox[{\"MathieuCPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the even Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", - "MathieuGroupM11":"RowBox[{\"MathieuGroupM11\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"11\"].", - "MathieuGroupM12":"RowBox[{\"MathieuGroupM12\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"12\"].", - "MathieuGroupM22":"RowBox[{\"MathieuGroupM22\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"22\"].", - "MathieuGroupM23":"RowBox[{\"MathieuGroupM23\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"23\"].", - "MathieuGroupM24":"RowBox[{\"MathieuGroupM24\", \"[\", \"]\"}] represents the sporadic simple Mathieu group SubscriptBox[\"M\", \"24\"].", - "MathieuS":"RowBox[{\"MathieuS\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the odd Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", - "MathieuSPrime":"RowBox[{\"MathieuSPrime\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the odd Mathieu function with characteristic value StyleBox[\"a\", \"TI\"] and parameter StyleBox[\"q\", \"TI\"]. ", - "MathMLForm":"RowBox[{\"MathMLForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a MathML form of StyleBox[\"expr\", \"TI\"]. ", - "Matrices":"RowBox[{\"Matrices\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents the domain of matrices of dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"Matrices\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] represents the domain of matrices of dimensions SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], with components in the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"Matrices\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"dom\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] represents the subdomain of matrices SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]] with symmetry StyleBox[\"sym\", \"TI\"].", - "MatrixExp":"RowBox[{\"MatrixExp\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the matrix exponential of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"MatrixExp\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the matrix exponential of StyleBox[\"m\", \"TI\"] applied to the vector StyleBox[\"v\", \"TI\"].", - "MatrixForm":"RowBox[{\"MatrixForm\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] prints with the elements of StyleBox[\"list\", \"TI\"] arranged in a regular array. ", - "MatrixFunction":"RowBox[{\"MatrixFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the matrix generated by the scalar function StyleBox[\"f\", \"TI\"] at the matrix argument StyleBox[\"m\", \"TI\"].", - "MatrixLog":"RowBox[{\"MatrixLog\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the matrix logarithm of a matrix StyleBox[\"m\", \"TI\"].", - "MatrixNormalDistribution":"RowBox[{\"MatrixNormalDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]]}], \"]\"}] represents zero mean matrix normal distribution with row covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]] and column covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]].\nRowBox[{\"MatrixNormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]]}], \"]\"}] represents matrix normal distribution with mean matrix StyleBox[\"μ\", \"TR\"].", - "MatrixPlot":"RowBox[{\"MatrixPlot\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] generates a plot that gives a visual representation of the values of elements in a matrix.", - "MatrixPower":"RowBox[{\"MatrixPower\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] matrix power of the matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"MatrixPower\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] matrix power of the matrix StyleBox[\"m\", \"TI\"] applied to the vector StyleBox[\"v\", \"TI\"].", - "MatrixPropertyDistribution":"RowBox[{\"MatrixPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"mdist\", \"TI\"]}]}], \"]\"}] represents the distribution of the matrix property StyleBox[\"expr\", \"TI\"] where the matrix-valued random variable StyleBox[\"x\", \"TI\"] follows the matrix distribution StyleBox[\"mdist\", \"TI\"].\nRowBox[{\"MatrixPropertyDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the distribution where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the matrix distributions SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"mdist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "MatrixQ":"RowBox[{\"MatrixQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a list of lists or a two-dimensional SparseArray object that can represent a matrix, and gives False otherwise. \nRowBox[{\"MatrixQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] gives True only if StyleBox[\"test\", \"TI\"] yields True when applied to each of the matrix elements in StyleBox[\"expr\", \"TI\"]. ", - "MatrixRank":"RowBox[{\"MatrixRank\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the rank of the matrix StyleBox[\"m\", \"TI\"]. ", - "MatrixTDistribution":"RowBox[{\"MatrixTDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents zero mean matrix t distribution with row covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], column covariance matrix SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]], and degrees of freedom parameter StyleBox[\"ν\", \"TR\"].\nRowBox[{\"MatrixTDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"row\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"Σ\", \"TR\"], StyleBox[\"col\", \"TI\"]], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents matrix t distribution with mean matrix StyleBox[\"μ\", \"TR\"].", - "Max":"RowBox[{\"Max\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the numerically largest of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Max\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the largest element of any of the lists. ", - "MaxCellMeasure":"MaxCellMeasure is an option for DiscretizeRegion and related functions that specifies the maximum cell measure for the result.", - "MaxDetect":"RowBox[{\"MaxDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to constant extended maxima in StyleBox[\"image\", \"TI\"].\nRowBox[{\"MaxDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] finds extended maxima where the range of values is not greater than StyleBox[\"h\", \"TI\"].\nRowBox[{\"MaxDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies maxima detection to an array of data.", - "MaxDuration":"MaxDuration is an option that specifies the maximum duration for audio playback or capture.", - "MaxExtraBandwidths":"MaxExtraBandwidths is an option to SmoothKernelDistribution that controls the behavior outside that data range.", - "MaxExtraConditions":"MaxExtraConditions is an option to Solve and related functions that specifies how many extra equational conditions on continuous parameters to allow in solutions that are given.", - "MaxFeatureDisplacement":"MaxFeatureDisplacement is an option that specifies the maximum displacement allowed for any feature.", - "MaxFeatures":"MaxFeatures is an option that specifies the maximum number of features that will be returned from feature detection algorithms.", - "MaxFilter":"RowBox[{\"MaxFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the maximum value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"MaxFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "MaximalBy":"RowBox[{\"MaximalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which the value of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is maximal.\nRowBox[{\"MaximalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the StyleBox[\"n\", \"TI\"] largest RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"MaximalBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MaximalBy that can be applied to an expression.", - "Maximize":"RowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"Maximize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Maximize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", - "MaxItems":"MaxItems is an option that specifies the maximum number of items to be used or shown.", - "MaxIterations":"MaxIterations is an option that specifies the maximum number of iterations that should be tried in various built-in functions and algorithms.", - "MaxLimit":"RowBox[{\"MaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives the max limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"x\", \")\"}]}], \"TI\"]}]. \nRowBox[{\"MaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested max limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}]}]}]. \nRowBox[{\"MaxLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]}], \"]\"}] gives the multivariate max limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}].", - "MaxMemoryUsed":"RowBox[{\"MaxMemoryUsed\", \"[\", \"]\"}] gives the maximum number of bytes used to store all data for the current StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] session.\nRowBox[{\"MaxMemoryUsed\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the maximum number of bytes used during the evaluation of StyleBox[\"expr\", \"TI\"].", - "MaxMixtureKernels":"MaxMixtureKernels is an option for SmoothKernelDistribution and related functions that specifies the maximum number and location of kernel functions to use in the estimation.", - "MaxPlotPoints":"MaxPlotPoints is an option for plotting functions like ArrayPlot and ListPlot3D that specifies the maximum number of points that will explicitly be included in the output. ", - "MaxPoints":"MaxPoints is an option for NIntegrate specifying the maximum total number of times to sample the integrand.", - "MaxRecursion":"MaxRecursion is an option for functions like NIntegrate and Plot that specifies how many recursive subdivisions can be made. ", - "MaxStableDistribution":"RowBox[{\"MaxStableDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a generalized maximum extreme value distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"σ\", \"TR\"], and shape parameter StyleBox[\"ξ\", \"TR\"].", - "MaxStepFraction":"MaxStepFraction is an option to functions like NDSolve that specifies the maximum fraction of the total range to cover in a single step.", - "MaxSteps":"MaxSteps is an option to functions like NDSolve that specifies the maximum number of steps to take in generating a result.", - "MaxStepSize":"MaxStepSize is an option to functions like NDSolve that specifies the maximum size of a single step used in generating a result.", - "MaxTrainingRounds":"MaxTrainingRounds is an option for NetTrain and related functions that specifies the maximum number of rounds of training to do.", - "MaxValue":"RowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"MaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"MaxValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", - "MaxwellDistribution":"RowBox[{\"MaxwellDistribution\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents a Maxwell distribution with scale parameter StyleBox[\"σ\", \"TR\"].", - "MaxWordGap":"MaxWordGap is an option for SearchAdjustment that specifies the number of words that can occur between the terms of a phrase.", - "McLaughlinGroupMcL":"RowBox[{\"McLaughlinGroupMcL\", \"[\", \"]\"}] represents the sporadic simple McLaughlin group McL.", - "Mean":"RowBox[{\"Mean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the statistical mean of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Mean\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the mean of the distribution StyleBox[\"dist\", \"TI\"].", - "MeanAbsoluteLossLayer":"RowBox[{\"MeanAbsoluteLossLayer\", \"[\", \"]\"}] represents a loss layer that computes the mean absolute loss between the \"Input\" port and \"Target\" port.", - "MeanClusteringCoefficient":"RowBox[{\"MeanClusteringCoefficient\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the mean clustering coefficient of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanClusteringCoefficient\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "MeanDegreeConnectivity":"RowBox[{\"MeanDegreeConnectivity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of StyleBox[\"k\", FontSlant -> \"Italic\"]-mean degree connectivity for the graph StyleBox[\"g\", \"TI\"] for successive RowBox[{RowBox[{StyleBox[\"k\", \"TI\"], \"=\", \"0\"}], \",\", \"1\", \",\", RowBox[{\"2\", StyleBox[\"…\", \"TR\"]}]}] .\nRowBox[{\"MeanDegreeConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of StyleBox[\"k\", FontSlant -> \"Italic\"]-mean in-degree connectivity for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanDegreeConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of StyleBox[\"k\", FontSlant -> \"Italic\"]-mean out-degree connectivity for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanDegreeConnectivity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "MeanDeviation":"RowBox[{\"MeanDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the mean absolute deviation from the mean of the elements in StyleBox[\"list\", \"TI\"].", - "MeanFilter":"RowBox[{\"MeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the mean value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"MeanFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "MeanGraphDistance":"RowBox[{\"MeanGraphDistance\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the mean distance between all pairs of vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanGraphDistance\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "MeanNeighborDegree":"RowBox[{\"MeanNeighborDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of mean neighbor degrees of vertices for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"MeanNeighborDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of mean neighbor in-degrees.\nRowBox[{\"MeanNeighborDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of mean neighbor out-degrees.\nRowBox[{\"MeanNeighborDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "MeanShift":"RowBox[{\"MeanShift\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] replaces each element in StyleBox[\"list\", \"TI\"] by the mean of the values of all elements that differ by less than StyleBox[\"d\", \"TI\"].\nRowBox[{\"MeanShift\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns the list where only the specified parts SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] are replaced with mean-shifted values.\nRowBox[{\"MeanShift\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] mean shift of the pixel values in StyleBox[\"image\", \"TI\"].", - "MeanShiftFilter":"RowBox[{\"MeanShiftFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the mean of the pixels in a range-StyleBox[\"r\", \"TI\"] neighborhood and whose value is within a distance StyleBox[\"d\", \"TI\"].\nRowBox[{\"MeanShiftFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "MeanSquaredLossLayer":"RowBox[{\"MeanSquaredLossLayer\", \"[\", \"]\"}] represents a loss layer that computes the mean squared loss between its \"Input\" port and \"Target\" port.", - "Median":"RowBox[{\"Median\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the median of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Median\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the median of the distribution StyleBox[\"dist\", \"TI\"]. ", - "MedianDeviation":"RowBox[{\"MedianDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the median absolute deviation from the median of the elements in StyleBox[\"list\", \"TI\"].", - "MedianFilter":"RowBox[{\"MedianFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"] by replacing every value by the median in its range-StyleBox[\"r\", \"TI\"] neighborhood. \nRowBox[{\"MedianFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "MedicalTestData":"RowBox[{\"MedicalTestData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the medical test StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MedicalTestData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified medical test entities.\nRowBox[{\"MedicalTestData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Medium":"Medium is a style or option setting that specifies that objects should be medium sized.", - "MeijerG":"RowBox[{\"MeijerG\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \"+\", StyleBox[\"1\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], RowBox[{StyleBox[\"m\", \"TI\"], \"+\", StyleBox[\"1\", \"TR\"]}]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the Meijer G function RowBox[{SubsuperscriptBox[\"G\", RowBox[{\"p\", \"q\"}], RowBox[{\"m\", \"n\"}]], \"(\", RowBox[{\"z\", \"\", GridBox[{{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}]}, {RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}]}}]}], \")\"}]. ", - "MeijerGReduce":"RowBox[{\"MeijerGReduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single MeijerG object as a function of StyleBox[\"x\", \"TI\"].", - "MeixnerDistribution":"RowBox[{\"MeixnerDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] represents a Meixner distribution with location parameter StyleBox[\"m\", \"TI\"], scale parameter StyleBox[\"a\", \"TI\"], skew parameter StyleBox[\"b\", \"TI\"], and shape parameter StyleBox[\"d\", \"TI\"].", - "MellinConvolve":"RowBox[{\"MellinConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] gives the Mellin convolution with respect to StyleBox[\"x\", \"TI\"] of the expressions StyleBox[\"f\", \"TI\"] and StyleBox[\"g\", \"TI\"].\nRowBox[{\"MellinConvolve\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Mellin convolution.", - "MellinTransform":"RowBox[{\"MellinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Mellin transform of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"MellinTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Mellin transform of StyleBox[\"expr\", \"TI\"]. ", - "MemberQ":"RowBox[{\"MemberQ\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] returns True if an element of StyleBox[\"list\", \"TI\"] matches StyleBox[\"form\", \"TI\"], and False otherwise. \nRowBox[{\"MemberQ\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] tests all parts of StyleBox[\"list\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"MemberQ\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] represents an operator form of MemberQ that can be applied to an expression.", - "MemoryAvailable":"RowBox[{\"MemoryAvailable\", \"[\", \"]\"}] gives the estimated number of bytes readily available for storing additional data in the current Wolfram Language kernel session.", - "MemoryConstrained":"RowBox[{\"MemoryConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], stopping if more than StyleBox[\"b\", \"TI\"] bytes of memory are requested. \nRowBox[{\"MemoryConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] returns StyleBox[\"failexpr\", \"TI\"] if the memory constraint is not met. ", - "MemoryConstraint":"MemoryConstraint is an option for TestReport and VerificationTest that specifies how much memory (in bytes) the test is allowed to use.", - "MemoryInUse":"RowBox[{\"MemoryInUse\", \"[\", \"]\"}] gives the number of bytes currently being used to store all data in the current StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel session. \nRowBox[{\"MemoryInUse\", \"[\", \"$FrontEnd\", \"]\"}] gives the number of bytes used in the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end.", - "MengerMesh":"RowBox[{\"MengerMesh\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a mesh region representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Menger sponge. \nRowBox[{\"MengerMesh\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Menger sponge in dimension StyleBox[\"d\", \"TI\"].", - "MenuCommandKey":"MenuCommandKey is an option for cells that specifies the keyboard shortcut to be associated with a style listed in the StyleBox[\"Format ▶ Style\", \"MenuName\"] submenu.", - "MenuPacket":"RowBox[{\"MenuPacket\", \"[\", RowBox[{StyleBox[\"integer\", \"TI\"], \",\", StyleBox[\"string\", \"TI\"]}], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet indicating a menu request with title StyleBox[\"string\", \"TI\"].", - "MenuSortingValue":"MenuSortingValue is an option for cells and notebooks that specifies where a cell style, stylesheet, or palette is listed in the StyleBox[\"Format ▶ Style\", \"MenuName\"] submenu, StyleBox[\"Format ▶ Stylesheet\", \"MenuName\"] submenu, or StyleBox[\"Palettes\", \"MenuName\"] menu respectively.", - "MenuStyle":"MenuStyle is an option for menu-generating constructs that specifies the style to use in displaying menu items. ", - "MenuView":"RowBox[{\"MenuView\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which selecting the menu item with label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] displays SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"MenuView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] item be the one currently selected.\nRowBox[{\"MenuView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] associates values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] with successive menu items, and makes the item with value StyleBox[\"v\", \"TI\"] be the one currently selected. \nRowBox[{\"MenuView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes the menu items' labels to be successive integers.", - "Merge":"RowBox[{\"Merge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] merges the associations SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"i\", \"TI\"]], using the function StyleBox[\"f\", \"TI\"] to combine values with the same key. \nRowBox[{\"Merge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an association in which values corresponding to identical keys are combined using StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Merge\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Merge that can be applied to an expression.", - "MergingFunction":"MergingFunction is an option for functions such as PersistentValue that specifies a function to apply to the list of values found.", - "MersennePrimeExponent":"RowBox[{\"MersennePrimeExponent\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Mersenne prime exponent.", - "MersennePrimeExponentQ":"RowBox[{\"MersennePrimeExponentQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns True if StyleBox[\"n\", \"TI\"] is a Mersenne prime exponent, and False otherwise.", - "Mesh":"Mesh is an option for Plot3D, DensityPlot, and other plotting functions that specifies what mesh should be drawn. ", - "MeshCellCentroid":"MeshCellCentroid is a property of MeshRegion and BoundaryMeshRegion objects that gives the centroids of mesh cells.", - "MeshCellCount":"RowBox[{\"MeshCellCount\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] gives a list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] of counts SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"d\", \"TI\"]] of cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"]. \nRowBox[{\"MeshCellCount\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the total count of cells of dimension StyleBox[\"d\", \"TI\"].\nRowBox[{\"MeshCellCount\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the total count of cells specified by StyleBox[\"cellspec\", \"TI\"].", - "MeshCellHighlight":"MeshCellHighlight is an option and property of MeshRegion, BoundaryMeshRegion, and related functions that specifies mesh cells to highlight.", - "MeshCellIndex":"RowBox[{\"MeshCellIndex\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the cell indices for cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"MeshCellIndex\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the cell indices for the cells specified by StyleBox[\"cellspec\", \"TI\"].", - "MeshCellLabel":"MeshCellLabel is an option to MeshRegion, BoundaryMeshRegion and related functions that specifies labels and placements for mesh cells. ", - "MeshCellMarker":"MeshCellMarker is an option to MeshRegion and BoundaryMeshRegion that specifies integer markers to associate with mesh cells. ", - "MeshCellMeasure":"MeshCellMeasure is a property of MeshRegion and BoundaryMeshRegion objects that gives the measures of mesh cells.", - "MeshCellQuality":"MeshCellQuality is a property of MeshRegion and BoundaryMeshRegion objects that gives a quality measure for mesh cells.", - "MeshCells":"RowBox[{\"MeshCells\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"MeshCells\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the cells specified by StyleBox[\"cellspec\", \"TI\"]. ", - "MeshCellShapeFunction":"MeshCellShapeFunction is an option and property for MeshRegion, BoundaryMeshRegion, and related functions that specifies functions to use to generate primitives for rendering mesh cells.", - "MeshCellStyle":"MeshCellStyle is an option and property of MeshRegion, BoundaryMeshRegion, and related functions that specifies styles to use for mesh cells. ", - "MeshCoordinates":"RowBox[{\"MeshCoordinates\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] gives a list of coordinates in the mesh region StyleBox[\"mreg\", \"TI\"].", - "MeshFunctions":"MeshFunctions is an option for plotting functions that specifies functions to use to determine the placement of mesh divisions. ", - "MeshPrimitives":"RowBox[{\"MeshPrimitives\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the graphics primitives for cells of dimension StyleBox[\"d\", \"TI\"] in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"MeshPrimitives\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", StyleBox[\"cellspec\", \"TI\"]}], \"]\"}] gives the primitives specified by StyleBox[\"cellspec\", \"TI\"].", - "MeshQualityGoal":"MeshQualityGoal is an option for DiscretizeRegion and related functions that specifies a mesh cell quality goal for the result.", - "MeshRefinementFunction":"MeshRefinementFunction is an option for DiscretizeRegion and related functions that specifies a function to indicate whether mesh cells should be refined or not.", - "MeshRegion":"RowBox[{\"MeshRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with cells SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"j\", \"TI\"]], where coordinates given as integer StyleBox[\"i\", \"TI\"] are taken to be SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"MeshRegion\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"mcell\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a mesh with cell properties defined by the symbolic wrapper SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "MeshRegionQ":"RowBox[{\"MeshRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] yields True if the region StyleBox[\"reg\", \"TI\"] is a valid MeshRegion object and False otherwise.", - "MeshShading":"MeshShading is an option for plotting functions that gives lists of colors to use for regions between mesh divisions. ", - "MeshStyle":"MeshStyle is an option for Plot3D, DensityPlot, and other plotting functions that specifies the style in which to draw a mesh. ", - "Message":"RowBox[{\"Message\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] prints the message RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}] unless it has been switched off. \nRowBox[{\"Message\", \"[\", RowBox[{RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] prints a message, inserting the values of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] as needed. ", - "MessageDialog":"RowBox[{\"MessageDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] puts up a standard message dialog that displays StyleBox[\"expr\", \"TI\"] together with an StyleBox[\"OK\", \"DialogElementName\"] button.\nRowBox[{\"MessageDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \":>\", SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes buttons with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] that evaluate the corresponding SubscriptBox[StyleBox[\"act\", \"TI\"], StyleBox[\"i\", \"TI\"]] if clicked.", - "MessageList":"RowBox[{\"MessageList\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object assigned to be a list of the names of messages generated during the processing of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] input line. ", - "MessageName":"RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}] is a name for a message. ", - "MessagePacket":"RowBox[{\"MessagePacket\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \",\", StyleBox[\"string\", \"TI\"]}], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet containing a StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] message identifier of the form RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"string\", \"TI\"]}].", - "Messages":"RowBox[{\"Messages\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives all the messages assigned to a particular symbol. ", - "MetaCharacters":"MetaCharacters is an option to StringPosition. With RowBox[{\"MetaCharacters\", \" \", \"->\", \" \", \"None\"}], no strings have special meanings. RowBox[{\"MetaCharacters\", \" \", \"->\", \" \", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}] specifies the metacharacters for pattern escape, single character matching and multiple character matching. RowBox[{\"MetaCharacters\", \" \", \"->\", \" \", \"Automatic\"}] is equivalent to MetaCharacters -> {\"\\\\\", \".\", \"*\"}.", - "MetaInformation":"MetaInformation is an option giving meta-information for Image, CloudObject, and other objects.", - "MeteorShowerData":"RowBox[{\"MeteorShowerData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the meteor shower StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MeteorShowerData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified meteor shower entities.\nRowBox[{\"MeteorShowerData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Method":"Method is an option for various algorithm-intensive functions that specifies what internal methods they should use.", - "MexicanHatWavelet":"RowBox[{\"MexicanHatWavelet\", \"[\", \"]\"}] represents the Mexican hat wavelet of width 1.\nRowBox[{\"MexicanHatWavelet\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents the Mexican hat wavelet of width StyleBox[\"σ\", \"TR\"].", - "MeyerWavelet":"RowBox[{\"MeyerWavelet\", \"[\", \"]\"}] represents the Meyer wavelet of order 3.\nRowBox[{\"MeyerWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the Meyer wavelet of order StyleBox[\"n\", \"TI\"] evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", \"10\"}], \",\", \"10\"}], \"}\"}].\nRowBox[{\"MeyerWavelet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"lim\", \"TI\"]}], \"]\"}] represents the Meyer wavelet of order StyleBox[\"n\", \"TI\"] evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", StyleBox[\"lim\", \"TI\"]}], \",\", StyleBox[\"lim\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]. ", - "Min":"RowBox[{\"Min\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the numerically smallest of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Min\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] yields the smallest element of any of the lists. ", - "MinColorDistance":"MinColorDistance is an option for DominantColors that specifies the minimum distance between returned colors.", - "MinDetect":"RowBox[{\"MinDetect\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a binary image in which white pixels correspond to constant extended minima in StyleBox[\"image\", \"TI\"].\nRowBox[{\"MinDetect\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] finds extended minima where the range of values is not greater than StyleBox[\"h\", \"TI\"].\nRowBox[{\"MinDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies minima detection to an array of data.", - "MineralData":"RowBox[{\"MineralData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the mineral StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MineralData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified mineral entities.\nRowBox[{\"MineralData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "MinFilter":"RowBox[{\"MinFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the minimum value in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"MinFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "MinimalBy":"RowBox[{\"MinimalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which the value of RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is minimal.\nRowBox[{\"MinimalBy\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns a list of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the StyleBox[\"n\", \"TI\"] smallest RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}].\nRowBox[{\"MinimalBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of MinimalBy that can be applied to an expression.", - "MinimalPolynomial":"RowBox[{\"MinimalPolynomial\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the minimal polynomial in StyleBox[\"x\", \"TI\"] for which the algebraic number StyleBox[\"s\", \"TI\"] is a root. ", - "MinimalStateSpaceModel":"RowBox[{\"MinimalStateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the minimal state-space model of the state-space model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"MinimalStateSpaceModel\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the new coordinates SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Minimize":"RowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"Minimize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Minimize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", - "MinimumTimeIncrement":"RowBox[{\"MinimumTimeIncrement\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] gives the minimum time increment in the time series StyleBox[\"tseries\", \"TI\"].", - "MinIntervalSize":"MinIntervalSize is an option for IntervalSlider that specifies the minimum size of the interval during interactive editing.", - "MinkowskiQuestionMark":"RowBox[{\"MinkowskiQuestionMark\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives Minkowski's question mark function RowBox[{\"?\", \"(x)\"}].", - "MinLimit":"RowBox[{\"MinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]}], \"]\"}] gives the min limit RowBox[{SubscriptBox[\"\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", SuperscriptBox[StyleBox[\"x\", \"TI\"], \"*\"]}]], StyleBox[RowBox[{\"f\", RowBox[{\"(\", \"x\", \")\"}]}], \"TI\"]}]. \nRowBox[{\"MinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], \"*\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], \"*\"]}]}], \"}\"}]}], \"]\"}] gives the nested min limit RowBox[{UnderscriptBox[\"\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{\"⋯\", \" \", RowBox[{UnderscriptBox[\"\", RowBox[{StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"], \"\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}]}]}]. \nRowBox[{\"MinLimit\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]}], \"]\"}] gives the multivariate min limit RowBox[{UnderscriptBox[\"\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\"*\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"], StyleBox[\"*\", \"TR\"]]}], \"}\"}]}]], RowBox[{StyleBox[\"f\", \"TI\"], \"\", RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\", \",\", StyleBox[SubscriptBox[\"x\", \"n\"], \"TI\"]}], \")\"}]}]}].", - "MinMax":"RowBox[{\"MinMax\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \",\", RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]}], \"}\"}].\nRowBox[{\"MinMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", StyleBox[\"δ\", \"TR\"]}], \",\", \" \", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"+\", StyleBox[\"δ\", \"TR\"]}]}], \"}\"}].\nRowBox[{\"MinMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", StyleBox[\"δ\", \"TR\"]}], \",\", \" \", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"+\", StyleBox[\"δ\", \"TR\"]}]}], \"}\"}] where RowBox[{StyleBox[\"δ\", \"TR\"], \"=\", RowBox[{StyleBox[\"s\", \"TI\"], \"×\", RowBox[{\"(\", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]}], \")\"}]}]}].\nRowBox[{\"MinMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"-\", SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"min\", \"TI\"]]}], \",\", RowBox[{RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], \"+\", SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}]}], \"}\"}].", - "MinorPlanetData":"RowBox[{\"MinorPlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the minor planet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MinorPlanetData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified minor planet entities.\nRowBox[{\"MinorPlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Minors":"RowBox[{\"Minors\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the minors of a matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"Minors\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"k\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] minors. ", - "MinRecursion":"MinRecursion is an option for NIntegrate and other numerical functions that use a recursive algorithm. With RowBox[{\"MinRecursion\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}], a minimum depth of recursion of StyleBox[\"n\", \"TI\"] is used before tests for convergence begin.", - "MinSize":"MinSize is an option of certain BoxForm primitives.", - "MinStableDistribution":"RowBox[{\"MinStableDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a generalized minimum extreme value distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"σ\", \"TR\"], and shape parameter StyleBox[\"ξ\", \"TR\"].", - "Minus":"RowBox[{\"-\", StyleBox[\"x\", \"TI\"]}] is the arithmetic negation of StyleBox[\"x\", \"TI\"]. ", - "MinusPlus":"RowBox[{\"MinusPlus\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"∓\", \"x\"}].\nRowBox[{\"MinusPlus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{RowBox[{\"x\", \"∓\", \"y\"}], \"∓\", \"…\"}].", - "MinValue":"RowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"MinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"MinValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] constrains variables to the domain StyleBox[\"dom\", \"TI\"], typically Reals or Integers.", - "Missing":"RowBox[{\"Missing\", \"[\", \"]\"}] represents data that is missing.\nRowBox[{\"Missing\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"reason\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] specifies a reason for the data's being missing.\nRowBox[{\"Missing\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"reason\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] associates the expression StyleBox[\"expr\", \"TI\"] with the missing data. ", - "MissingBehavior":"MissingBehavior is an option to Query and related functions that specifies how expressions with head Missing should be interpreted in the context of other functions.", - "MissingDataMethod":"MissingDataMethod is an option to TemporalData and other functions that controls how to process missing data. ", - "MissingDataRules":"MissingDataRules is an option for SemanticImport and related functions that specifies what should be considered \"missing\" and what to replace it with.", - "MissingQ":"RowBox[{\"MissingQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] has head Missing.", - "MissingString":"MissingString is an option for TextString and related functions that indicates how an expression with head Missing should be converted to a string.", - "MissingStyle":"MissingStyle is an option for GeoRegionValuePlot that specifies how locations with missing data should be displayed.", - "MittagLefflerE":"RowBox[{\"MittagLefflerE\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Mittag–Leffler function RowBox[{SubscriptBox[\"E\", \"α\"], \"(\", \"z\", \")\"}].\nRowBox[{\"MittagLefflerE\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the generalized Mittag–Leffler function RowBox[{SubscriptBox[\"E\", RowBox[{\"α\", \",\", \"β\"}]], \"(\", \"z\", \")\"}].", - "MixedGraphQ":"RowBox[{\"MixedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a mixed graph and False otherwise. ", - "MixedMagnitude":"RowBox[{\"MixedMagnitude\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a mixed-magnitude expression consisting of values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]].", - "MixedRadix":"RowBox[{\"MixedRadix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the list of bases of a numerical system in which different digits have different bases.", - "MixedRadixQuantity":"RowBox[{\"MixedRadixQuantity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a single Quantity expressed using an additive sequence of compatible StyleBox[\"units\", \"TI\"] with magnitude StyleBox[\"values\", \"TI\"].", - "MixedUnit":"RowBox[{\"MixedUnit\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a mixed-unit expression consisting of units SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"n\", \"TI\"]].", - "MixtureDistribution":"RowBox[{\"MixtureDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]], each with weight SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Mod":"RowBox[{\"Mod\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the remainder on division of StyleBox[\"m\", \"TI\"] by StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Mod\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses an offset StyleBox[\"d\", \"TI\"]. ", - "Modal":"Modal is an option to functions such as CreateDialog that specifies whether the dialog that is created should be modal to the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end.", - "Mode":"Mode is an option to Solve and related functions that specifies in what sense the equations are to be solved. The possible settings for Mode are Generic, Modular, and Rational.", - "Modular":"Modular is a setting for the option Mode in Solve and related functions, which specifies that equations need be satisfied only modulo an integer.", - "ModularInverse":"RowBox[{\"ModularInverse\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the modular inverse of StyleBox[\"k\", \"TI\"] modulo StyleBox[\"n\", \"TI\"].", - "ModularLambda":"RowBox[{\"ModularLambda\", \"[\", StyleBox[\"τ\", \"TR\"], \"]\"}] gives the modular lambda elliptic function RowBox[{\"λ\", \"(\", \"τ\", \")\"}]. ", - "Module":"RowBox[{\"Module\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies that occurrences of the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in StyleBox[\"expr\", \"TI\"] should be treated as local. \nRowBox[{\"Module\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] defines initial values for StyleBox[\"x\", \"TI\"], …. ", - "Modulus":"RowBox[{\"Modulus\", \"\", StyleBox[\"n\", \"TI\"]}] is an option that can be given in certain algebraic functions to specify that integers should be treated modulo StyleBox[\"n\", \"TI\"]. ", - "MoebiusMu":"RowBox[{\"MoebiusMu\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Möbius function RowBox[{\"μ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}]. ", - "Moment":"RowBox[{\"Moment\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] sample moment of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Moment\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] moment of the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Moment\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]SuperscriptBox[\"\", \"th\"] multivariate moment. \nRowBox[{\"Moment\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents the StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] formal moment. ", - "MomentConvert":"RowBox[{\"MomentConvert\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] converts the moment expression StyleBox[\"mexpr\", \"TI\"] to the specified form. ", - "MomentEvaluate":"RowBox[{\"MomentEvaluate\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] evaluates formal moments in the moment expression StyleBox[\"mexpr\", \"TI\"] on the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"MomentEvaluate\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] evaluates formal moments and formal sample moments in StyleBox[\"mexpr\", \"TI\"] on the data StyleBox[\"list\", \"TI\"]. \nRowBox[{\"MomentEvaluate\", \"[\", RowBox[{StyleBox[\"mexpr\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] evaluates formal moments on the distribution StyleBox[\"dist\", \"TI\"] and formal sample moments on the data StyleBox[\"list\", \"TI\"]. ", - "MomentGeneratingFunction":"RowBox[{\"MomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the moment-generating function for the distribution StyleBox[\"dist\", \"TI\"] as a function of the variable StyleBox[\"t\", \"TI\"]. \nRowBox[{\"MomentGeneratingFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the moment-generating function for the multivariate distribution StyleBox[\"dist\", \"TI\"] as a function of the variables SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], … . ", - "MomentOfInertia":"RowBox[{\"MomentOfInertia\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"pt\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] computes the moment of inertia for the region StyleBox[\"reg\", \"TI\"] rotating around an axis through the point StyleBox[\"pt\", \"TI\"] in direction StyleBox[\"v\", \"TI\"].\nRowBox[{\"MomentOfInertia\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] computes the moment of inertia matrix for the region StyleBox[\"reg\", \"TI\"] relative to the center of mass.\nRowBox[{\"MomentOfInertia\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"pt\", \"TI\"]}], \"]\"}] computes the moment of inertia matrix relative to the point StyleBox[\"pt\", \"TI\"].", - "Monday":"Monday is a day of the week.", - "Monitor":"RowBox[{\"Monitor\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"mon\", \"TI\"]}], \"]\"}] generates a temporary monitor cell in which the continually updated current value of StyleBox[\"mon\", \"TI\"] is displayed during the course of evaluation of StyleBox[\"expr\", \"TI\"]. ", - "MonomialList":"RowBox[{\"MonomialList\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives the list of all monomials in the polynomial StyleBox[\"poly\", \"TI\"].\nRowBox[{\"MonomialList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list of monomials with respect to the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] in poly.\nRowBox[{\"MonomialList\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"order\", \"TI\"]}], \"]\"}] puts the monomials in the specified order.", - "MonsterGroupM":"RowBox[{\"MonsterGroupM\", \"[\", \"]\"}] represents the sporadic simple monster group StyleBox[\"M\", FontSlant -> \"Plain\"].", - "MoonPhase":"RowBox[{\"MoonPhase\", \"[\", \"]\"}] gives moon phase fraction of illumination for the current date.\nRowBox[{\"MoonPhase\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives moon phase fraction of illumination for the specified date.\nRowBox[{\"MoonPhase\", \"[\", StyleBox[\"property\", \"TI\"], \"]\"}] gives the property of the moon phase for the current date.\nRowBox[{\"MoonPhase\", \"[\", RowBox[{StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the property of the moon phase for the specified date.", - "MoonPosition":"RowBox[{\"MoonPosition\", \"[\", \"]\"}] gives the position of the Moon for the current date and location.\nRowBox[{\"MoonPosition\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the position of the Moon for the specified date.\nRowBox[{\"MoonPosition\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the position of the Moon for the specified location.\nRowBox[{\"MoonPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the position of the Moon for the specified date and location.\nRowBox[{\"MoonPosition\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the positions of the Moon for all specified locations on the specified dates.\nRowBox[{\"MoonPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", - "MorletWavelet":"RowBox[{\"MorletWavelet\", \"[\", \"]\"}] represents a Morlet wavelet. ", - "MorphologicalBinarize":"RowBox[{\"MorphologicalBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] creates a binary image from StyleBox[\"image\", \"TI\"] by replacing all values above the upper threshold SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]] with 1, also including pixels with intensities above the lower threshold SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]] that are connected to the foreground.\nRowBox[{\"MorphologicalBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] uses StyleBox[\"t\", \"TI\"] as the upper threshold, automatically choosing a suitable value for the lower threshold.\nRowBox[{\"MorphologicalBinarize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] chooses the lower and the upper threshold automatically.", - "MorphologicalBranchPoints":"RowBox[{\"MorphologicalBranchPoints\", \"[\", StyleBox[\"image\", \"TI\"], StyleBox[\"]\", \"TI\"]}] gives a version of a binary image StyleBox[\"image\", \"TI\"] in which white pixels represent the morphological branch points.", - "MorphologicalComponents":"RowBox[{\"MorphologicalComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives an array in which each pixel of StyleBox[\"image\", \"TI\"] is replaced by an integer index representing the connected foreground image component in which the pixel lies.\nRowBox[{\"MorphologicalComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "MorphologicalEulerNumber":"RowBox[{\"MorphologicalEulerNumber\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] computes the morphological Euler number of regions in a binary image.\nRowBox[{\"MorphologicalEulerNumber\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "MorphologicalGraph":"RowBox[{\"MorphologicalGraph\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a graph object that represents the connectivity of the morphological branch points and endpoints of the objects in StyleBox[\"image\", \"TI\"] after applying morphological thinning.", - "MorphologicalPerimeter":"RowBox[{\"MorphologicalPerimeter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] picks out the morphological perimeter of regions of foreground in StyleBox[\"image\", \"TI\"].\nRowBox[{\"MorphologicalPerimeter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "MorphologicalTransform":"RowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the 3×3 neighborhood of each pixel in a binary image StyleBox[\"image\", \"TI\"].\nRowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"rule\", \"TI\"]}], \"]\"}] applies a morphological transformation specified by a rule number StyleBox[\"rule\", \"TI\"].\nRowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses a named transformation \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"MorphologicalTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"transformation\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"n\", \"TI\"] iterations of StyleBox[\"transformation\", \"TI\"] on StyleBox[\"image\", \"TI\"].", - "MortalityData":"RowBox[{\"MortalityData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] gives the values of all properties for the specified demographic.\nRowBox[{\"MortalityData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the specified demographic.", - "Most":"RowBox[{\"Most\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with the last element removed. ", - "MountainData":"RowBox[{\"MountainData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the mountain StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MountainData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified mountain entities.\nRowBox[{\"MountainData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "MouseAnnotation":"RowBox[{\"MouseAnnotation\", \"[\", \"]\"}] gives any mouse annotation associated with the expression at the current mouse position. ", - "MouseAppearance":"RowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"graphic\", \"TI\"]}], \"]\"}] changes the mouse cursor to appear as StyleBox[\"graphic\", \"TI\"] when the mouse pointer is in the area where StyleBox[\"expr\", \"TI\"] is displayed.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"graphic\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] uses the coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] in the graphic as the hotspot for the mouse cursor.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"graphic\", \"TI\"], \",\", RowBox[{\"Scaled\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}]}], \"]\"}] uses the scaled coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] as the hotspot for the mouse cursor.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"cursorname\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the named cursor \"StyleBox[\"cursorname\", \"TI\"]\" as the mouse cursor.\nRowBox[{\"MouseAppearance\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Automatic\"}], \"]\"}] reverts to normal mouse cursor behavior.", - "MouseButtons":"RowBox[{\"MouseButtons\", \"[\", \"]\"}] gives a list of the mouse buttons currently being pressed.", - "Mouseover":"RowBox[{\"Mouseover\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"over\", \"TI\"]}], \"]\"}] represents an object that displays as StyleBox[\"over\", \"TI\"] when the mouse pointer is over it, and as StyleBox[\"expr\", \"TI\"] otherwise. ", - "MousePosition":"RowBox[{\"MousePosition\", \"[\", \"]\"}] gives the current mouse position in the notebook front end. \nRowBox[{\"MousePosition\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the mouse position with respect to the specified coordinate system.\nRowBox[{\"MousePosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] returns StyleBox[\"def\", \"TI\"] if the mouse is not over an object that defines the specified coordinate system.", - "MovieData":"RowBox[{\"MovieData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the movie StyleBox[\"entity\", \"TI\"].\nRowBox[{\"MovieData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified movie entities.\nRowBox[{\"MovieData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "MovingAverage":"RowBox[{\"MovingAverage\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the moving average of StyleBox[\"list\", \"TI\"], computed by averaging runs of StyleBox[\"r\", \"TI\"] elements.\nRowBox[{\"MovingAverage\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the moving average of StyleBox[\"list\", \"TI\"], computed with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "MovingMap":"RowBox[{\"MovingMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to size StyleBox[\"w\", \"TI\"] windows in the specified StyleBox[\"data\", \"TI\"].\nRowBox[{\"MovingMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wspec\", \"TI\"]}], \"]\"}] uses windows specified by StyleBox[\"wspec\", \"TI\"].\nRowBox[{\"MovingMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wspec\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"]}], \"]\"}] pads StyleBox[\"data\", \"TI\"] using StyleBox[\"padding\", \"TI\"].", - "MovingMedian":"RowBox[{\"MovingMedian\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the moving median of StyleBox[\"list\", \"TI\"], computed using spans of StyleBox[\"r\", \"TI\"] elements.", - "MoyalDistribution":"RowBox[{\"MoyalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Moyal distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"MoyalDistribution\", \"[\", \"]\"}] represents a Moyal distribution with location parameter 0 and scale parameter 1.", - "Multicolumn":"RowBox[{\"Multicolumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"cols\", \"TI\"]}], \"]\"}] is an object that formats with the elements of StyleBox[\"list\", \"TI\"] arranged in a grid with the indicated number of columns.\nRowBox[{\"Multicolumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"rows\", \"TI\"], \",\", \"Automatic\"}], \"}\"}]}], \"]\"}] formats as a grid with the indicated number of rows.\nRowBox[{\"Multicolumn\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"rows\", \"TI\"], \",\", StyleBox[\"cols\", \"TI\"]}], \"}\"}]}], \"]\"}] formats as a grid with the indicated number of rows and columns.\nRowBox[{\"Multicolumn\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] formats with the elements of StyleBox[\"list\", \"TI\"] in a roughly square arrangement.", - "MultiedgeStyle":"MultiedgeStyle is an option for GraphPlot and related functions that specifies how to draw multiple edges.", - "MultigraphQ":"RowBox[{\"MultigraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a multigraph and False otherwise.", - "MultilaunchWarning":"MultilaunchWarning is a global option that specifies whether a warning is given when you try to modify user preferences while running two copies of StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] simultaneously.", - "MultilineFunction":"MultilineFunction is an option for UnderscriptBox and related box objects that specifies what to do when the contents of a box object are too long to fit on one line.", - "Multinomial":"RowBox[{\"Multinomial\", \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the multinomial coefficient RowBox[{RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \"+\", SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \"+\", \"…\"}], \")\"}], \"!\"}], \"\/\", RowBox[{\"(\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"1\"], \"!\"}], \" \", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], \"2\"], \"!\"}], \" \", \"…\"}], \")\"}]}]. ", - "MultinomialDistribution":"RowBox[{\"MultinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a multinomial distribution with StyleBox[\"n\", \"TI\"] trials and probabilities SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "MultinormalDistribution":"RowBox[{\"MultinormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a multivariate normal (Gaussian) distribution with mean vector StyleBox[\"μ\", \"TR\"] and covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"MultinormalDistribution\", \"[\", StyleBox[\"Σ\", \"TR\"], \"]\"}] represents a multivariate normal distribution with zero mean and covariance matrix StyleBox[\"Σ\", \"TR\"].", - "MultiplicativeOrder":"RowBox[{\"MultiplicativeOrder\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the multiplicative order of StyleBox[\"k\", \"TI\"] modulo StyleBox[\"n\", \"TI\"], defined as the smallest integer StyleBox[\"m\", \"TI\"] such that RowBox[{SuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"≡\", RowBox[{\"1\", \"mod\", \" \", StyleBox[\"n\", \"TI\"]}]}]. \nRowBox[{\"MultiplicativeOrder\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the generalized multiplicative order of StyleBox[\"k\", \"TI\"] modulo StyleBox[\"n\", \"TI\"], defined as the smallest integer StyleBox[\"m\", \"TI\"] such that RowBox[{SuperscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"≡\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"mod\", \" \", StyleBox[\"n\", \"TI\"]}]}] for some StyleBox[\"i\", \"TI\"]. ", - "Multiplicity":"Multiplicity is an option to Roots. RowBox[{\"Multiplicity\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] specifies that the multiplicity of each of the roots is StyleBox[\"n\", \"TI\"] in the final result.", - "MultiplySides":"RowBox[{\"MultiplySides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] multiplies each side of the equation or inequality StyleBox[\"rel\", \"TI\"] by StyleBox[\"x\", \"TI\"].\nRowBox[{\"MultiplySides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] multiplies the corresponding sides of two equations or inequalities.", - "Multiselection":"Multiselection is an option to ListPicker that specifies whether multiple values may be selected.", - "MultivariateHypergeometricDistribution":"RowBox[{\"MultivariateHypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a multivariate hypergeometric distribution with StyleBox[\"n\", \"TI\"] draws without replacement from a collection containing SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] objects of type StyleBox[\"i\", \"TI\"]. ", - "MultivariatePoissonDistribution":"RowBox[{\"MultivariatePoissonDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a multivariate Poisson distribution with mean vector RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \"+\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \"+\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "MultivariateTDistribution":"RowBox[{\"MultivariateTDistribution\", \"[\", RowBox[{StyleBox[\"Σ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents the multivariate Student t distribution with scale matrix StyleBox[\"Σ\", \"TR\"] and degrees of freedom parameter StyleBox[\"ν\", \"TR\"].\nRowBox[{\"MultivariateTDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents the multivariate Student t distribution with location StyleBox[\"μ\", \"TR\"], scale matrix StyleBox[\"Σ\", \"TR\"], and StyleBox[\"ν\", \"TR\"] degrees of freedom.", - "N":"RowBox[{\"N\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the numerical value of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"N\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] attempts to give a result with StyleBox[\"n\", \"TI\"]‐digit precision. ", - "NakagamiDistribution":"RowBox[{\"NakagamiDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] represents a Nakagami distribution with shape parameter StyleBox[\"μ\", \"TR\"] and spread parameter StyleBox[\"ω\", \"TR\"].", - "NameQ":"RowBox[{\"NameQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields True if there are any symbols whose names match the string pattern given, and yields False otherwise. ", - "Names":"RowBox[{\"Names\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the names of symbols that match the string. \nRowBox[{\"Names\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] gives a list of names matching the arbitrary string pattern StyleBox[\"patt\", \"TI\"].", - "Nand":"RowBox[{\"Nand\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical NAND function. It evaluates its arguments in order, giving True immediately if any of them are False, and False if they are all True. ", - "NArgMax":"RowBox[{\"NArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is numerically maximized.\nRowBox[{\"NArgMax\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is numerically maximized.\nRowBox[{\"NArgMax\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is numerically maximized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NArgMax\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", - "NArgMin":"RowBox[{\"NArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a position SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] at which StyleBox[\"f\", \"TI\"] is numerically minimized.\nRowBox[{\"NArgMin\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] at which StyleBox[\"f\", \"TI\"] is numerically minimized.\nRowBox[{\"NArgMin\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position at which StyleBox[\"f\", \"TI\"] is numerically minimized subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NArgMin\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", - "NBernoulliB":"RowBox[{\"NBernoulliB\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the numerical value of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] Bernoulli number. \nRowBox[{\"NBernoulliB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", \" \", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the result to StyleBox[\"d\", \"TI\"]-digit precision.", - "NCache":"RowBox[{\"NCache\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"xn\", \"TI\"]}], \"]\"}] represents a numeric cache object for a quantity with exact value StyleBox[\"x\", \"TI\"] and approximate numerical value StyleBox[\"xn\", \"TI\"].", - "NDEigensystem":"RowBox[{\"NDEigensystem\", \"[\", RowBox[{RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues and eigenfunctions for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{RowBox[{\"NDEigensystem\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \" \"}] gives eigenvalues and eigenfunctions for the coupled differential operators RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDEigensystem\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues and eigenfunctions in the spatial variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for solutions RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}] of the coupled time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", - "NDEigenvalues":"RowBox[{\"NDEigenvalues\", \"[\", RowBox[{RowBox[{StyleBox[\"ℒ\", \"TI\"], \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \"]\"}], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] smallest magnitude eigenvalues for the linear differential operator StyleBox[\"ℒ\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{RowBox[{\"NDEigenvalues\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"ℒ\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", RowBox[{StyleBox[\"v\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", \"…\"}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \" \"}] gives eigenvalues for the coupled differential operators RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"op\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDEigenvalues\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the eigenvalues in the spatial variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for solutions RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}] of the coupled time-dependent differential equations StyleBox[\"eqns\", \"TI\"].", - "NDSolve":"RowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] finds a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] for the function StyleBox[\"u\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] solves for the functions SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "NDSolveValue":"RowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] with functions determined by a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"NDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", - "Nearest":"RowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the list of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest. \nRowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest. \nRowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the same result. \nRowBox[{\"Nearest\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"prop\", \"TI\"]}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] for the SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to which StyleBox[\"x\", \"TI\"] is nearest.\nRowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] effectively gives RowBox[{\"{\", RowBox[{RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] nearest SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] or fewer nearest SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to StyleBox[\"x\", \"TI\"] that are within radius StyleBox[\"r\", \"TI\"] of StyleBox[\"x\", \"TI\"].\nRowBox[{\"Nearest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] generates a RowBox[{\"NearestFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different StyleBox[\"x\", \"TI\"]. ", - "NearestFunction":"RowBox[{\"NearestFunction\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a function whose values give the elements closest to an element that is supplied.", - "NearestNeighborGraph":"RowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a graph with vertices RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}] and edges connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to its nearest neighbors.\nRowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a graph connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to its StyleBox[\"k\", \"TI\"] nearest neighbors.\nRowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a graph connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to at most StyleBox[\"k\", \"TI\"] nearest vertices within radius StyleBox[\"r\", \"TI\"] of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NearestNeighborGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{\"All\", \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a graph connecting each SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]] to all vertices within radius StyleBox[\"r\", \"TI\"] of SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "NearestTo":"RowBox[{\"NearestTo\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is an operator form that yields RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"elems\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] when applied to a list StyleBox[\"elems\", \"TI\"].\nRowBox[{\"NearestTo\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is an operator form that yields RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"elems\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"n\", \"TI\"]}], \"]\"}] when applied to a list StyleBox[\"elems\", \"TI\"].\nRowBox[{\"NearestTo\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] is an operator form that yields RowBox[{\"Nearest\", \"[\", RowBox[{StyleBox[\"elems\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] when applied to a list StyleBox[\"elems\", \"TI\"].", - "NebulaData":"RowBox[{\"NebulaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the nebula StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NebulaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified nebula entities.\nRowBox[{\"NebulaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "NeedlemanWunschSimilarity":"RowBox[{\"NeedlemanWunschSimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a number representing the Needleman–Wunsch similarity between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "Needs":"RowBox[{\"Needs\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \"]\"}] loads an appropriate file if the specified context is not already in $Packages. \nRowBox[{\"Needs\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] loads StyleBox[\"file\", \"TI\"] if the specified context is not already in $Packages. ", - "Negative":"RowBox[{\"Negative\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a negative number. ", - "NegativeBinomialDistribution":"RowBox[{\"NegativeBinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a negative binomial distribution with parameters StyleBox[\"n\", \"TI\"] and StyleBox[\"p\", \"TI\"].", - "NegativeDefiniteMatrixQ":"RowBox[{\"NegativeDefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly negative definite, and False otherwise.", - "NegativeMultinomialDistribution":"RowBox[{\"NegativeMultinomialDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a negative multinomial distribution with parameter StyleBox[\"n\", \"TI\"] and failure probability vector StyleBox[\"p\", \"TI\"].", - "NegativeSemidefiniteMatrixQ":"RowBox[{\"NegativeSemidefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly negative semidefinite, and False otherwise.", - "NeighborhoodData":"RowBox[{\"NeighborhoodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the neighborhood StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NeighborhoodData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified neighborhood entities.\nRowBox[{\"NeighborhoodData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "NeighborhoodGraph":"RowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the graph neighborhood of a vertex StyleBox[\"v\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the graph neighborhood of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that can be vertices, edges, or subgraphs of StyleBox[\"g\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the graph neighborhood of the vertices and edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the neighborhood up to distance StyleBox[\"d\", \"TI\"].\nRowBox[{\"NeighborhoodGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "Nest":"RowBox[{\"Nest\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives an expression with StyleBox[\"f\", \"TI\"] applied StyleBox[\"n\", \"TI\"] times to StyleBox[\"expr\", \"TI\"]. ", - "NestedGreaterGreater":"RowBox[{\"NestedGreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪢\", StyleBox[\"y\", \"TI\"], \"⪢\", StyleBox[\"…\", \"TR\"]}].", - "NestedLessLess":"RowBox[{\"NestedLessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪡\", StyleBox[\"y\", \"TI\"], \"⪡\", \"…\"}].", - "NestGraph":"RowBox[{\"NestGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph obtained by starting with StyleBox[\"expr\", \"TI\"] and applying StyleBox[\"f\", \"TI\"] successively StyleBox[\"n\", \"TI\"] times.\nRowBox[{\"NestGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph obtained by applying StyleBox[\"f\", \"TI\"] to SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"NestGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"graph\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the graph obtained by applying StyleBox[\"f\", \"TI\"] to the vertices of StyleBox[\"graph\", \"TI\"] and extending the StyleBox[\"graph\", \"TI\"].", - "NestList":"RowBox[{\"NestList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the results of applying StyleBox[\"f\", \"TI\"] to StyleBox[\"expr\", \"TI\"] 0 through StyleBox[\"n\", \"TI\"] times. ", - "NestWhile":"RowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] starts with StyleBox[\"expr\", \"TI\"], then repeatedly applies StyleBox[\"f\", \"TI\"] until applying StyleBox[\"test\", \"TI\"] to the result no longer yields True. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] supplies the most recent StyleBox[\"m\", \"TI\"] results as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", \"All\"}], \"]\"}] supplies all results so far as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] at most StyleBox[\"max\", \"TI\"] times. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] an extra StyleBox[\"n\", \"TI\"] times. \nRowBox[{\"NestWhile\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] returns the result found when StyleBox[\"f\", \"TI\"] had been applied StyleBox[\"n\", \"TI\"] fewer times. ", - "NestWhileList":"RowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] generates a list of the results of applying StyleBox[\"f\", \"TI\"] repeatedly, starting with StyleBox[\"expr\", \"TI\"], and continuing until applying StyleBox[\"test\", \"TI\"] to the result no longer yields True. \nRowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] supplies the most recent StyleBox[\"m\", \"TI\"] results as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", \"All\"}], \"]\"}] supplies all results so far as arguments for StyleBox[\"test\", \"TI\"] at each step. \nRowBox[{\"NestWhileList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] at most StyleBox[\"max\", \"TI\"] times. ", - "NetAppend":"RowBox[{\"NetAppend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"layer\", \"TI\"]}], \"]\"}] appends a layer onto a NetChain.\nRowBox[{\"NetAppend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] appends several layers to a NetChain.", - "NetBidirectionalOperator":"RowBox[{\"NetBidirectionalOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net that applies StyleBox[\"net\", \"TI\"] to a sequence and to its reverse, concatenating both results into one output sequence.\nRowBox[{\"NetBidirectionalOperator\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"fnet\", \"TI\"], \",\", StyleBox[\"bnet\", \"TI\"]}], \"}\"}], \"]\"}] uses StyleBox[\"fnet\", \"TI\"] on the normal input and StyleBox[\"bnet\", \"TI\"] on the reversed input.\nRowBox[{\"NetBidirectionalOperator\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"agg\", \"TI\"]}], \"]\"}] aggregates the two output sequences using the specified aggregation function.", - "NetChain":"RowBox[{\"NetChain\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] specifies a neural net in which the output of SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"i\", \"TI\"]] is connected to the input of SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[RowBox[{\"i\", StyleBox[\"+\", FontSlant -> \"Plain\"], StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]].\nRowBox[{\"NetChain\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] specifies a net consisting of a chain of explicitly named layers. ", - "NetDecoder":"RowBox[{\"NetDecoder\", \"[\", StyleBox[StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"TI\"], \"]\"}] represents a decoder that takes a net representation and decodes it into an expression of a given form.\nRowBox[{\"NetDecoder\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a decoder with additional parameters specified.", - "NetDelete":"RowBox[{\"NetDelete\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] deletes the StyleBox[\"n\", \"TI\"]RowBox[{SuperscriptBox[\"\", \"th\"], \" \", \"layer\"}] from a NetChain or NetGraph.\nRowBox[{\"NetDelete\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] deletes a named layer.\nRowBox[{\"NetDelete\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes several layers simultaneously.", - "NetDrop":"RowBox[{\"NetDrop\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] removes the first StyleBox[\"n\", \"TI\"] layers from a NetChain.\nRowBox[{\"NetDrop\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] removes the last StyleBox[\"n\", \"TI\"] layers from a NetChain.\nRowBox[{\"NetDrop\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] drops the layers between StyleBox[\"start\", \"TI\"] and StyleBox[\"end\", \"TI\"] in a NetChain.", - "NetEncoder":"RowBox[{\"NetEncoder\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an encoder that takes a given form of input and encodes it as a tensor for use in a net.\nRowBox[{\"NetEncoder\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an encoder with additional parameters specified.", - "NetEvaluationMode":"NetEvaluationMode is an option that can be given when applying neural net functions to input data, specifying whether the net should use training-specific behavior.", - "NetExtract":"RowBox[{\"NetExtract\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] extracts the value of a parameter for the specified net layer.\nRowBox[{\"NetExtract\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"lspec\", \"TI\"]}], \"]\"}] extracts the layer identified by StyleBox[\"lspec\", \"TI\"] from within the NetGraph or NetChain object StyleBox[\"net\", \"TI\"].\nRowBox[{\"NetExtract\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"lspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] extracts the value of the parameter StyleBox[\"param\", \"TI\"] from the layer identified by StyleBox[\"lspec\", \"TI\"] in StyleBox[\"net\", \"TI\"]. \nRowBox[{\"NetExtract\", \"[\", RowBox[{\"net\", \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts a set of elements, where each SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]] is a list.", - "NetFlatten":"RowBox[{\"NetFlatten\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] collapses nested NetChain and NetGraph objects within StyleBox[\"net\", \"TI\"].", - "NetFoldOperator":"RowBox[{\"NetFoldOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net in which StyleBox[\"net\", \"TI\"] is folded over a sequence of inputs, maintaining a recurrent state.", - "NetGraph":"RowBox[{\"NetGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"], \"\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies a neural net defined by a graph in which the output of layer SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] is given as input to layer SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetGraph\", \"[\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"m1\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"n1\", \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies a net with explicitly named layers.", - "NetInformation":"RowBox[{\"NetInformation\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives information about the specified property of the neural network StyleBox[\"net\", \"TI\"].\nRowBox[{\"NetInformation\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"net\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"net\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list containing the result for each SubscriptBox[StyleBox[\"net\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "NetInitialize":"RowBox[{\"NetInitialize\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] gives a net in which all uninitialized learnable parameters in StyleBox[\"net\", \"TI\"] have been given initial values.\nRowBox[{\"NetInitialize\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", \"All\"}], \"]\"}] gives a net in which all learnable parameters have been given initial values. ", - "NetInsert":"RowBox[{\"NetInsert\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"layer\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] inserts a layer into a NetChain before the layer at position StyleBox[\"i\", \"TI\"].\nRowBox[{\"NetInsert\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"->\", StyleBox[\"layer\", \"TI\"]}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pos\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] inserts a named layer into a NetChain before the layer at the given position.", - "NetInsertSharedArrays":"RowBox[{\"NetInsertSharedArrays\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] converts all ordinary arrays in StyleBox[\"net\", \"TI\"] into NetSharedArray objects.\nRowBox[{\"NetInsertSharedArrays\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prefix\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses a prefix for the names of all newly shared arrays. ", - "NetJoin":"RowBox[{\"NetJoin\", \"[\", RowBox[{SubscriptBox[StyleBox[\"chain\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"chain\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] connects a series of NetChain objects to form a single NetChain.", - "NetMapOperator":"RowBox[{\"NetMapOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net in which StyleBox[\"net\", \"TI\"] is mapped over a sequence of inputs to give a sequence of outputs.", - "NetModel":"RowBox[{\"NetModel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a neural net model with the specified name. \nRowBox[{\"NetModel\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives property StyleBox[\"prop\", \"TI\"] of the model.\nRowBox[{\"NetModel\", \"[\", \"]\"}] obtains a dataset of available pre-trained neural net models.", - "NetNestOperator":"RowBox[{\"NetNestOperator\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a net in which StyleBox[\"net\", \"TI\"] is applied StyleBox[\"n\", \"TI\"] times to the input.", - "NetPairEmbeddingOperator":"RowBox[{\"NetPairEmbeddingOperator\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] represents a net that takes a pair of tensors, embeds them into a vector space using StyleBox[\"net\", \"TI\"], and outputs the distance under the embedding.\nRowBox[{\"NetPairEmbeddingOperator\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"DistanceFunction\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"f\", \"TI\"]}]}], \"]\"}] specifies a distance function to use.", - "NetPort":"RowBox[{\"NetPort\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] represents the specified port for layer number StyleBox[\"n\", \"TI\"] in a NetGraph or similar construct.\nRowBox[{\"NetPort\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] represents the specified port for the layer with the specified name.\nRowBox[{\"NetPort\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"]\"}] is treated as equivalent to RowBox[{\"NetPort\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"}\"}], \"]\"}].\nRowBox[{\"NetPort\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the specified input or output port for a complete net.\nRowBox[{\"NetPort\", \"[\", RowBox[{\"All\", \",\", StyleBox[\"\\\"States\\\"\",ShowStringCharacters->True]}], \"]\"}] represents the set of all states in a net associated with recurrent layers such as LongShortTermMemoryLayer.", - "NetPortGradient":"RowBox[{\"NetPortGradient\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the gradient of the output of a net with respect to the value of the specified input port. \nRowBox[{\"NetPortGradient\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the gradient of the output with respect to a learned parameter named StyleBox[\"param\", \"TI\"].\nRowBox[{\"NetPortGradient\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"param\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] represents the gradient with respect to a parameter at a specific position in a net.", - "NetPrepend":"RowBox[{\"NetPrepend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", StyleBox[\"layer\", \"TI\"]}], \"]\"}] prepends a layer onto a NetChain.\nRowBox[{\"NetPrepend\", \"[\", RowBox[{StyleBox[\"chain\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"layer\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] prepends several layers to a NetChain.", - "NetRename":"RowBox[{\"NetRename\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"old\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"new\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}]}], \"]\"}] gives a net in which the name StyleBox[\"old\", \"TI\"] for a layer is replaced with StyleBox[\"new\", \"TI\"].\nRowBox[{\"NetRename\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs all renamings specified by the SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetRename\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] use a function StyleBox[\"f\", \"TI\"] to map existing layer names to new names.", - "NetReplace":"RowBox[{\"NetReplace\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"layer\", \"TI\"]}]}], \"]\"}] gives a net in which all layers matching StyleBox[\"patt\", \"TI\"] are replaced with StyleBox[\"layer\", \"TI\"].\nRowBox[{\"NetReplace\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] performs all replacements specified by the SubscriptBox[StyleBox[\"rule\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "NetReplacePart":"RowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"array\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] replaces an array within a layer, returning a new layer.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"port\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"type\", \"TI\"]}]}], \"]\"}] returns a new layer in which an input or output port has the specified type.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"input\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"encoder\", \"TI\"]}]}], \"]\"}] attaches a RowBox[{\"NetEncoder\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] to a specified input port.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"output\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"decoder\", \"TI\"]}]}], \"]\"}] attaches a RowBox[{\"NetDecoder\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] to a specified output port.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{StyleBox[\"lspec\", \"TI\"], \"\", StyleBox[\"layer\", \"TI\"]}]}], \"]\"}] returns a new NetChain or NetGraph in which the layer identified by StyleBox[\"lspec\", \"TI\"] has been replaced.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"lspec\", \"TI\"], \",\", StyleBox[\"pspec\", \"TI\"]}], \"}\"}], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] makes a replacement of a part StyleBox[\"pspec\", \"TI\"] of a layer StyleBox[\"lspec\", \"TI\"] within a NetGraph or NetChain.\nRowBox[{\"NetReplacePart\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes multiple simultaneous replacements.", - "NetSharedArray":"RowBox[{\"NetSharedArray\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents an array in a net that is shared by more than one layer.", - "NetStateObject":"RowBox[{\"NetStateObject\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] creates an object derived from StyleBox[\"net\", \"TI\"] that represents a neural net with additional stored state information that is updated when the net is applied to data.\nRowBox[{\"NetStateObject\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"seed\", \"TI\"]}], \"]\"}] creates an object in which additional stored state information is initialized using StyleBox[\"seed\", \"TI\"].", - "NetTake":"RowBox[{\"NetTake\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"]\"}] takes only those layers up to StyleBox[\"end\", \"TI\"] in a NetChain or NetGraph.\nRowBox[{\"NetTake\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] takes only those layers between StyleBox[\"start\", \"TI\"] and StyleBox[\"end\", \"TI\"] in a NetChain or NetGraph.", - "NetTrain":"RowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}], \"]\"}] trains the specified neural net by giving the SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"i\", \"TI\"]] as input and minimizing the discrepancy between the SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"i\", \"TI\"]] and the actual output of the net, using an automatically chosen loss function.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also trains the specified neural net based on the examples SubscriptBox[StyleBox[\"input\", \"TI\"], StyleBox[\"i\", \"TI\"]] and the outputs SubscriptBox[StyleBox[\"output\", \"TI\"], StyleBox[\"i\", \"TI\"]] given.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] trains the specified net by supplying training data at the specified ports, with a loss function defined by the \"Loss\" port in the net.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", StyleBox[\"…\", \"TR\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] trains the net using a list of instances of training data.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] calls the function StyleBox[\"f\", \"TI\"] during training to produce batches of training data.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives data associated with a specific property StyleBox[\"prop\", \"TI\"] of the training session.\nRowBox[{\"NetTrain\", \"[\", RowBox[{StyleBox[\"net\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", \"All\"}], \"]\"}] gives a RowBox[{\"NetTrainResultsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that summarizes information about the training session.", - "NetTrainResultsObject":"RowBox[{\"NetTrainResultsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an object generated by NetTrain that contains the trained net and other information about the training process.", - "NetworkPacketCapture":"RowBox[{\"NetworkPacketCapture\", \"[\", \"]\"}] creates a temporary interactive interface for capturing information on network packets transmitted or received through all network interfaces on your computer.\nRowBox[{\"NetworkPacketCapture\", \"[\", StyleBox[\"service\", \"TI\"], \"]\"}] captures only packets associated with the specified network service.\nRowBox[{\"NetworkPacketCapture\", \"[\", StyleBox[\"port\", \"TI\"], \"]\"}] captures only packets associated with the specified port.\nRowBox[{\"NetworkPacketCapture\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] captures only packets matching the specification StyleBox[\"spec\", \"TI\"]. ", - "NetworkPacketRecording":"RowBox[{\"NetworkPacketRecording\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] records information on network packets transmitted or received through all network interfaces on your computer for StyleBox[\"t\", \"TI\"] seconds.\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"service\", \"TI\"]}], \"]\"}] records only packets associated with the specified network service.\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"]\"}] records only packets associated with the specified port.\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] records only packets associated with any of the ports SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetworkPacketRecording\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] records only packets matching the specification StyleBox[\"spec\", \"TI\"]. ", - "NetworkPacketRecordingDuring":"RowBox[{\"NetworkPacketRecordingDuring\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] and returns information on network packets transmitted or received through all network interfaces on your computer during the time of the evaluation, together with the result of the evaluation. \nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"service\", \"TI\"]}], \"]\"}] records only packets associated with the specified network service.\nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"port\", \"TI\"]}], \"]\"}] records only packets associated with the specified port.\nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] records only packets associated with any of the ports SubscriptBox[StyleBox[\"port\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NetworkPacketRecordingDuring\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] records only packets matching the specification StyleBox[\"spec\", \"TI\"]. ", - "NeumannValue":"RowBox[{\"NeumannValue\", \"[\", RowBox[{StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"pred\", \"TI\"]}], \"]\"}] represents a Neumann boundary value StyleBox[\"val\", \"TI\"], specified on the part of the boundary of the region given to NDSolve and related functions where StyleBox[\"pred\", \"TI\"] is True.", - "NevilleThetaC":"RowBox[{\"NevilleThetaC\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"c\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", - "NevilleThetaD":"RowBox[{\"NevilleThetaD\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"d\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", - "NevilleThetaN":"RowBox[{\"NevilleThetaN\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"n\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", - "NevilleThetaS":"RowBox[{\"NevilleThetaS\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Neville theta function RowBox[{SubscriptBox[\"ϑ\", \"s\"], \" \", RowBox[{\"(\", RowBox[{\"z\", \"\", \"m\"}], \")\"}]}]. ", - "NExpectation":"RowBox[{\"NExpectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical expectation of StyleBox[\"expr\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"NExpectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical expectation of StyleBox[\"expr\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"NExpectation\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the numerical expectation of StyleBox[\"expr\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NExpectation\", \"[\", RowBox[{RowBox[{StyleBox[\"expr\", \"TI\"], \"\", StyleBox[\"pred\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the numerical conditional expectation of StyleBox[\"expr\", \"TI\"] given StyleBox[\"pred\", \"TI\"].", - "NextCell":"RowBox[{\"NextCell\", \"[\", \"]\"}] returns the CellObject corresponding to the cell directly below the currently evaluating cell.\nRowBox[{\"NextCell\", \"[\", StyleBox[\"cellobj\", \"TI\"], \"]\"}] starts looking from the given cell.", - "NextDate":"RowBox[{\"NextDate\", \"[\", StyleBox[\"gran\", \"TI\"], \"]\"}] gives the next occurring date of the specified granularity type StyleBox[\"gran\", \"TI\"].\nRowBox[{\"NextDate\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the next date of the given granularity relative to the specified date.", - "NextPrime":"RowBox[{\"NextPrime\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the next prime above StyleBox[\"n\", \"TI\"].\nRowBox[{\"NextPrime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] prime above StyleBox[\"n\", \"TI\"].", - "NextScheduledTaskTime":"RowBox[{\"NextScheduledTaskTime\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gives the next execution time of the scheduled task represented by StyleBox[\"obj\", \"TI\"].", - "NHoldAll":"NHoldAll is an attribute which specifies that none of the arguments to a function should be affected by N. ", - "NHoldFirst":"NHoldFirst is an attribute which specifies that the first argument to a function should not be affected by N. ", - "NHoldRest":"NHoldRest is an attribute which specifies that all but the first argument to a function should not be affected by N. ", - "NicholsGridLines":"NicholsGridLines is an option to NicholsPlot that specifies contours of constant magnitude and constant phase of the closed-loop system.", - "NicholsPlot":"RowBox[{\"NicholsPlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a Nichols plot of the transfer function for the system StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"NicholsPlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"NicholsPlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", - "NightHemisphere":"RowBox[{\"NightHemisphere\", \"[\", \"]\"}] is a two-dimensional GeoGraphics primitive that represents the half of the Earth currently in darkness.\nRowBox[{\"NightHemisphere\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] represents the night half of the Earth for the specified date.", - "NIntegrate":"RowBox[{\"NIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a numerical approximation to the integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], \" \", RowBox[{\"f\", \" \", \"d\", \"\", \"x\"}]}]. \nRowBox[{\"NIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a numerical approximation to the multiple integral RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"d\", \"x\", RowBox[{SubsuperscriptBox[\"∫\", SubscriptBox[\"y\", StyleBox[\"min\", FontSlant -> \"Italic\"]], SubscriptBox[\"y\", StyleBox[\"max\", FontSlant -> \"Italic\"]]], RowBox[{\"d\", \"\", \"y\", \" \", \"…\", \" \", \"f\"}]}]}]}].\nRowBox[{\"NIntegrate\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] integrates over the geometric region StyleBox[\"reg\", \"TI\"].", - "NMaximize":"RowBox[{\"NMaximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMaximize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NMaximize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] maximizes StyleBox[\"f\", \"TI\"] numerically subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NMaximize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", - "NMaxValue":"RowBox[{\"NMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMaxValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"NMaxValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the maximum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NMaxValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", - "NMinimize":"RowBox[{\"NMinimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMinimize\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] numerically with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NMinimize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] minimizes StyleBox[\"f\", \"TI\"] numerically subject to the constraints StyleBox[\"cons\", \"TI\"]. \nRowBox[{\"NMinimize\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", - "NMinValue":"RowBox[{\"NMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"].\nRowBox[{\"NMinValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] with respect to StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …. \nRowBox[{\"NMinValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the minimum value of StyleBox[\"f\", \"TI\"] subject to the constraints StyleBox[\"cons\", \"TI\"].\nRowBox[{\"NMinValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] constrains StyleBox[\"x\", \"TI\"] to be in the region StyleBox[\"reg\", \"TI\"].", - "NominalVariables":"NominalVariables is an option for statistical functions such as LinearModelFit that specifies which variables should be treated as having discrete values specified by names.", - "NonAssociative":"NonAssociative is a symbol that represents a non-associative operator in formatting functions.", - "NoncentralBetaDistribution":"RowBox[{\"NoncentralBetaDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] represents a noncentral beta distribution with shape parameters StyleBox[\"α\", \"TR\"], StyleBox[\"β\", \"TR\"] and noncentrality parameter StyleBox[\"δ\", \"TR\"].", - "NoncentralChiSquareDistribution":"RowBox[{\"NoncentralChiSquareDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a noncentral SuperscriptBox[\"χ\", \"2\"] distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and noncentrality parameter StyleBox[\"λ\", \"TR\"].", - "NoncentralFRatioDistribution":"RowBox[{\"NoncentralFRatioDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a noncentral F-ratio distribution with StyleBox[\"n\", \"TI\"] numerator degrees of freedom, StyleBox[\"m\", \"TI\"] denominator degrees of freedom, and numerator noncentrality parameter StyleBox[\"λ\", \"TR\"].\nRowBox[{\"NoncentralFRatioDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\" \", \"TR\"], StyleBox[\"η\", \"TR\"]}], \"]\"}] represents a doubly noncentral F-ratio distribution with numerator noncentrality parameter StyleBox[\"λ\", \"TR\"] and denominator noncentrality parameter StyleBox[\"η\", \"TR\"].", - "NoncentralStudentTDistribution":"RowBox[{\"NoncentralStudentTDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"]}], \"]\"}] represents a noncentral Student t distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom and noncentrality parameter StyleBox[\"δ\", \"TR\"].", - "NonCommutativeMultiply":"RowBox[{StyleBox[\"a\", \"TI\"], \"**\", StyleBox[\"b\", \"TI\"], \"**\", StyleBox[\"c\", \"TI\"]}] is a general associative, but non‐commutative, form of multiplication. ", - "NonConstants":"NonConstants is an option for D which gives a list of objects to be taken to depend implicitly on the differentiation variables. ", - "NondimensionalizationTransform":"RowBox[{\"NondimensionalizationTransform\", \"[\", RowBox[{StyleBox[\"eq\", \"TI\"], \",\", StyleBox[\"ovars\", \"TI\"], \",\", StyleBox[\"fvars\", \"TI\"]}], \"]\"}] nondimensionalizes StyleBox[\"eq\", \"TI\"], replacing original variables StyleBox[\"ovars\", \"TI\"] with the variables StyleBox[\"fvars\", \"TI\"].\nRowBox[{\"NondimensionalizationTransform\", \"[\", RowBox[{StyleBox[\"eq\", \"TI\"], \",\", StyleBox[\"ovars\", \"TI\"], \",\", StyleBox[\"fvars\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns a property associated with the nondimensionalization of StyleBox[\"eq\", \"TI\"].", - "None":"None is a setting used for certain options. ", - "NoneTrue":"RowBox[{\"NoneTrue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] yields True if RowBox[{StyleBox[\"test\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is False for all of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"NoneTrue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] tests parts of StyleBox[\"expr\", \"TI\"] at level StyleBox[\"level\", \"TI\"].\nRowBox[{\"NoneTrue\", \"[\", StyleBox[\"test\", \"TI\"], \"]\"}] represents an operator form of NoneTrue that can be applied to an expression.", - "NonlinearModelFit":"RowBox[{\"NonlinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a nonlinear model with structure StyleBox[\"form\", \"TI\"] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, … using the parameters StyleBox[SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \"TI\"], ….\nRowBox[{\"NonlinearModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a nonlinear model where StyleBox[\"form\", \"TI\"] depends on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]]. \nRowBox[{\"NonlinearModelFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cons\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a nonlinear model subject to the parameter constraints StyleBox[\"cons\", \"TI\"].", - "NonlinearStateSpaceModel":"RowBox[{\"NonlinearStateSpaceModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"]}], \"]\"}] represents the model RowBox[{RowBox[{RowBox[{\"x\", \"'\"}], RowBox[{\"(\", \"t\", \")\"}]}], \"\", RowBox[{\"f\", \"(\", RowBox[{RowBox[{\"x\", \"(\", \"t\", \")\"}], \",\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}], \")\"}]}], RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"\", RowBox[{\"g\", \"(\", RowBox[{RowBox[{\"x\", \"(\", \"t\", \")\"}], \",\", RowBox[{\"u\", \"(\", \"t\", \")\"}]}], \")\"}]}].\nRowBox[{\"NonlinearStateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives a state-space representation corresponding to the systems model StyleBox[\"sys\", \"TI\"]. \nRowBox[{\"NonlinearStateSpaceModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the state-space model of the differential equations StyleBox[\"eqns\", \"TI\"] with dependent variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], input variables SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], operating vaues SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]] and SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"0\", FontSlant -> \"Plain\"]}]], \"TI\"]], outputs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]], and independent variable StyleBox[\"t\", \"TI\"].", - "NonlocalMeansFilter":"RowBox[{\"NonlocalMeansFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] applies a nonlocal means filter to StyleBox[\"image\", \"TI\"] by comparing a range StyleBox[\"r\", \"TI\"] neighborhood to its nearby neighborhoods.\nRowBox[{\"NonlocalMeansFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ns\", \"TI\"]}], \"]\"}] assumes an additive noise power value StyleBox[\"ns\", \"TI\"] for comparing neighborhoods.\nRowBox[{\"NonlocalMeansFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ns\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] compares neighborhoods in a range StyleBox[\"w\", \"TI\"] window.", - "NonNegative":"RowBox[{\"NonNegative\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a non‐negative number. ", - "NonPositive":"RowBox[{\"NonPositive\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a non‐positive number. ", - "Nor":"RowBox[{\"Nor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical NOR function. It evaluates its arguments in order, giving False immediately if any of them are True, and True if they are all False. ", - "NorlundB":"RowBox[{\"NorlundB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives Nørlund polynomials SubsuperscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"a\", \"TI\"], \")\"}]] of degree StyleBox[\"n\", \"TI\"] in StyleBox[\"a\", \"TI\"].\nRowBox[{\"NorlundB\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives generalized Bernoulli polynomials RowBox[{SubsuperscriptBox[StyleBox[\"B\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"a\", \"TI\"], \")\"}]], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", - "Norm":"RowBox[{\"Norm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the norm of a number, vector, or matrix. \nRowBox[{\"Norm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the StyleBox[\"p\", \"TI\"]‐norm. ", - "Normal":"RowBox[{\"Normal\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts StyleBox[\"expr\", \"TI\"] to a normal expression from a variety of special forms. \nRowBox[{\"Normal\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] converts objects with head StyleBox[\"h\", \"TI\"] in StyleBox[\"expr\", \"TI\"] to normal expressions.\nRowBox[{\"Normal\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] converts objects with head SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"i\", \"TI\"]] to normal expressions.", - "NormalDistribution":"RowBox[{\"NormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a normal (Gaussian) distribution with mean StyleBox[\"μ\", \"TR\"] and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"NormalDistribution\", \"[\", \"]\"}] represents a normal distribution with zero mean and unit standard deviation.", - "Normalize":"RowBox[{\"Normalize\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives the normalized form of a vector StyleBox[\"v\", \"TI\"]. \nRowBox[{\"Normalize\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the normalized form of a complex number StyleBox[\"z\", \"TI\"].\nRowBox[{\"Normalize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] normalizes with respect to the norm function StyleBox[\"f\", \"TI\"].", - "Normalized":"Normalized is an option that determines whether to test if matrix rows are normalized.", - "NormalizedSquaredEuclideanDistance":"RowBox[{\"NormalizedSquaredEuclideanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the normalized squared Euclidean distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "NormalMatrixQ":"RowBox[{\"NormalMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is an explicitly normal matrix, and False otherwise.", - "NormalsFunction":"NormalsFunction is an option for Plot3D and related functions that specifies a function to apply to determine the effective surface normals at every point.", - "NormFunction":"NormFunction is an option for functions such as FindFit and NDSolve which gives a function to be minimized in generating results.", - "Not":"RowBox[{\"!\", StyleBox[\"expr\", \"TI\"]}] is the logical NOT function. It gives False if StyleBox[\"expr\", \"TI\"] is True, and True if it is False. ", - "NotCongruent":"RowBox[{\"NotCongruent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≢\", StyleBox[\"y\", \"TI\"], \"≢\", \"…\"}].", - "NotCupCap":"RowBox[{\"NotCupCap\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≭\", StyleBox[\"y\", \"TI\"], \"≭\", \"…\"}].", - "NotDoubleVerticalBar":"RowBox[{\"NotDoubleVerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∦\", StyleBox[\"y\", \"TI\"], \"∦\", \"…\"}].", - "Notebook":"RowBox[{\"Notebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is the low‐level construct that represents a notebook manipulated by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", - "NotebookApply":"RowBox[{\"NotebookApply\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] writes data into a notebook at the current selection, replacing the first selection placeholder in StyleBox[\"data\", \"TI\"] by the current selection, and then setting the current selection to be just after the data written. \nRowBox[{\"NotebookApply\", \"[\", RowBox[{StyleBox[\"cell\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] writes data into a notebook in place of the specified cell.\nRowBox[{\"NotebookApply\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] writes data into a notebook and then sets the current selection to be as specified by StyleBox[\"sel\", \"TI\"]. ", - "NotebookAutoSave":"NotebookAutoSave is a notebook option that specifies whether the notebook should automatically be saved after each piece of output generated by evaluation in it. ", - "NotebookClose":"RowBox[{\"NotebookClose\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] closes the notebook corresponding to the specified notebook object. \nRowBox[{\"NotebookClose\", \"[\", \"]\"}] closes the current evaluation notebook.", - "NotebookConvertSettings":"NotebookConvertSettings is a global option that specifies settings for converting imported legacy notebooks.", - "NotebookCreate":"RowBox[{\"NotebookCreate\", \"[\", \"]\"}] creates a new open notebook in the front end. \nRowBox[{\"NotebookCreate\", \"[\", StyleBox[\"options\", \"TI\"], \"]\"}] sets up the specified options for the new notebook. ", - "NotebookDelete":"RowBox[{\"NotebookDelete\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] deletes the current selection in the notebook corresponding to the specified notebook object. \nRowBox[{\"NotebookDelete\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deletes the given cell or box object.\nRowBox[{\"NotebookDelete\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] deletes all specified objects.\nRowBox[{\"NotebookDelete\", \"[\", \"]\"}] deletes the current selection in the current evaluation notebook.", - "NotebookDirectory":"RowBox[{\"NotebookDirectory\", \"[\", \"]\"}] gives the directory of the current evaluation notebook. \nRowBox[{\"NotebookDirectory\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] gives the directory for the notebook specified by StyleBox[\"nb\", \"TI\"]. ", - "NotebookDynamicExpression":"NotebookDynamicExpression is an option for notebooks that specifies an expression to be dynamically updated whenever that notebook is open.", - "NotebookEvaluate":"RowBox[{\"NotebookEvaluate\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] evaluates all the evaluatable cells in StyleBox[\"notebook\", \"TI\"].", - "NotebookEventActions":"NotebookEventActions is a notebook option that gives a list of actions to perform when specified events occur in connection with the notebook. ", - "NotebookFileName":"RowBox[{\"NotebookFileName\", \"[\", \"]\"}] gives the file name of the current evaluation notebook. \nRowBox[{\"NotebookFileName\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] gives the file name for the notebook specified by StyleBox[\"nb\", \"TI\"]. ", - "NotebookFind":"RowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] sets the current selection in the specified notebook object to be the next occurrence of StyleBox[\"data\", \"TI\"]. \nRowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", \"Previous\"}], \"]\"}] sets the current selection to be the previous occurrence. \nRowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", \"All\"}], \"]\"}] sets the current selection to be all occurrences. \nRowBox[{\"NotebookFind\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] sets the current selection to be the occurrence in the direction StyleBox[\"dir\", \"TI\"] and searches the elements of cells specified by StyleBox[\"elems\", \"TI\"]. ", - "NotebookGet":"RowBox[{\"NotebookGet\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gets the raw expression corresponding to the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"]. \nRowBox[{\"NotebookGet\", \"[\", \"]\"}] gets the raw expression corresponding to the currently selected notebook. ", - "NotebookImport":"RowBox[{\"NotebookImport\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"style\", \"TI\"]}], \"]\"}] imports cells with the given cell style from the specified notebook.\nRowBox[{\"NotebookImport\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", RowBox[{StyleBox[\"style\", \"TI\"], \"\", StyleBox[\"form\", \"TI\"]}]}], \"]\"}] imports cells in the form specified by StyleBox[\"form\", \"TI\"].", - "NotebookInformation":"RowBox[{\"NotebookInformation\", \"[\", \"]\"}] gives a list of properties of the current evaluation notebook.\nRowBox[{\"NotebookInformation\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] gives a list of properties for the specified notebook.", - "NotebookLocate":"RowBox[{\"NotebookLocate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] locates all cells with the specified tag in your current input notebook, selecting the cells and scrolling to the position of the first one. \nRowBox[{\"NotebookLocate\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \"]\"}] if necessary opens the notebook stored in StyleBox[\"file\", \"TI\"], then locates cells with the specified tag. ", - "NotebookObject":"RowBox[{\"NotebookObject\", \"[\", RowBox[{StyleBox[\"fe\", \"TI\"], \",\", StyleBox[\"id\", \"TI\"]}], \"]\"}] is an object that represents an open notebook in the front end. ", - "NotebookOpen":"RowBox[{\"NotebookOpen\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens an existing notebook with the specified name, returning the corresponding notebook object. \nRowBox[{\"NotebookOpen\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] opens a notebook using the options given. \nNotebookOpen[\"http:\/\/\nStyleBox[\"url\", \"TI\"]\",…] opens a notebook from any accessible URL. ", - "NotebookPath":"NotebookPath is a global option that determines which directories are searched when a specified notebook is needed.", - "NotebookPrint":"RowBox[{\"NotebookPrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] sends a notebook containing StyleBox[\"expr\", \"TI\"] to your default printer.\nRowBox[{\"NotebookPrint\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] sends the specified notebook to your default printer. \nRowBox[{\"NotebookPrint\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).\\!\\(\\*StyleBox[\\\"ext\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True]}], \"]\"}] saves a print‐ready form of the notebook to a file in the format indicated by the file extension StyleBox[\"ext\", \"TI\"]. \nRowBox[{\"NotebookPrint\", \"[\", \"]\"}] sends the current evaluation notebook to your default printer.", - "NotebookPut":"RowBox[{\"NotebookPut\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] creates a notebook corresponding to StyleBox[\"expr\", \"TI\"] and makes it the currently selected notebook in the front end. \nRowBox[{\"NotebookPut\", \"[\", \"]\"}] creates a new empty notebook.\nRowBox[{\"NotebookPut\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"obj\", \"TI\"]}], \"]\"}] replaces the notebook represented by the notebook object StyleBox[\"obj\", \"TI\"] with one corresponding to StyleBox[\"expr\", \"TI\"]. ", - "NotebookRead":"RowBox[{\"NotebookRead\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] gives the expression corresponding to the current selection in the specified notebook object. \nRowBox[{\"NotebookRead\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] gives the expression corresponding to the given cell or box object.\nRowBox[{\"NotebookRead\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of expressions corresponding to the SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Notebooks":"RowBox[{\"Notebooks\", \"[\", \"]\"}] gives a list of notebooks currently open in the front end.", - "NotebookSave":"RowBox[{\"NotebookSave\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] saves the current version of the specified notebook. \nRowBox[{\"NotebookSave\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] saves the notebook in the specified file. \nRowBox[{\"NotebookSave\", \"[\", \"]\"}] saves the current version of the current evaluation notebook in a file.", - "NotebookSelection":"RowBox[{\"NotebookSelection\", \"[\", \"]\"}] represents the current selection in the current evaluation notebook in the front end.\nRowBox[{\"NotebookSelection\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] represents the current selection associated with the open notebook StyleBox[\"nb\", \"TI\"]. ", - "NotebooksMenu":"NotebooksMenu is a global option that specifies which recently opened notebooks are listed under the StyleBox[\"File\", \"MenuName\"] menu.", - "NotebookTemplate":"RowBox[{\"NotebookTemplate\", \"[\", StyleBox[\"nb\", \"TI\"], \"]\"}] yields a TemplateObject that represents a notebook template to be applied using functions like GenerateDocument and FileTemplateApply.", - "NotebookWrite":"RowBox[{\"NotebookWrite\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] writes data into a notebook at the current selection, setting the current selection to be just after the data written. \nRowBox[{\"NotebookWrite\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] replaces the given cell or box object instead of the current selection.\nRowBox[{\"NotebookWrite\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] writes data into a notebook, setting the current selection to be as specified by StyleBox[\"sel\", \"TI\"]. ", - "NotElement":"RowBox[{\"NotElement\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"x\", \"TI\"], \"∉\", StyleBox[\"dom\", \"TI\"]}] asserts that StyleBox[\"x\", \"TI\"] is not an element of the domain StyleBox[\"dom\", \"TI\"].\nRowBox[{\"NotElement\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"|\", StyleBox[\"…\", \"TR\"], \"|\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that none of the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are elements of StyleBox[\"dom\", \"TI\"].\nRowBox[{\"NotElement\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] asserts that any expression matching the pattern StyleBox[\"patt\", \"TI\"] is not an element of the domain StyleBox[\"dom\", \"TI\"].", - "NotEqualTilde":"RowBox[{\"NotEqualTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotExists":"RowBox[{\"NotExists\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{SubscriptBox[\"∄\", StyleBox[\"x\", \"TI\"]], StyleBox[\"y\", \"TI\"]}].", - "NotGreater":"RowBox[{\"NotGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≯\", StyleBox[\"y\", \"TI\"], \"≯\", \"…\"}].", - "NotGreaterEqual":"RowBox[{\"NotGreaterEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≱\", StyleBox[\"y\", \"TI\"], \"≱\", \"…\"}].", - "NotGreaterFullEqual":"RowBox[{\"NotGreaterFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≩\", StyleBox[\"y\", \"TI\"], \"≩\", \"…\"}].", - "NotGreaterGreater":"RowBox[{\"NotGreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotGreaterLess":"RowBox[{\"NotGreaterLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≹\", StyleBox[\"y\", \"TI\"], \"≹\", \"…\"}].", - "NotGreaterSlantEqual":"RowBox[{\"NotGreaterSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotGreaterTilde":"RowBox[{\"NotGreaterTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≵\", StyleBox[\"y\", \"TI\"], \"≵\", \"…\"}].", - "Nothing":"Nothing represents an element of a list that will automatically be removed. \nRowBox[{\"Nothing\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] gives Nothing.", - "NotHumpDownHump":"RowBox[{\"NotHumpDownHump\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotHumpEqual":"RowBox[{\"NotHumpEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotificationFunction":"NotificationFunction is an option that specifies how notifications should be sent from background tasks.", - "NotLeftTriangle":"RowBox[{\"NotLeftTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋪\", StyleBox[\"y\", \"TI\"], \"⋪\", \"…\"}].", - "NotLeftTriangleBar":"RowBox[{\"NotLeftTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotLeftTriangleEqual":"RowBox[{\"NotLeftTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋬\", StyleBox[\"y\", \"TI\"], \"⋬\", \"…\"}].", - "NotLess":"RowBox[{\"NotLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≮\", StyleBox[\"y\", \"TI\"], \"≮\", \"…\"}].", - "NotLessEqual":"RowBox[{\"NotLessEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≰\", StyleBox[\"y\", \"TI\"], \"≰\", \"…\"}].", - "NotLessFullEqual":"RowBox[{\"NotLessFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≨\", StyleBox[\"y\", \"TI\"], \"≨\", \"…\"}].", - "NotLessGreater":"RowBox[{\"NotLessGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≸\", StyleBox[\"y\", \"TI\"], \"≸\", \"…\"}].", - "NotLessLess":"RowBox[{\"NotLessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotLessSlantEqual":"RowBox[{\"NotLessSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotLessTilde":"RowBox[{\"NotLessTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≴\", StyleBox[\"y\", \"TI\"], \"≴\", \"…\"}].", - "NotNestedGreaterGreater":"RowBox[{\"NotNestedGreaterGreater\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotNestedLessLess":"RowBox[{\"NotNestedLessLess\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotPrecedes":"RowBox[{\"NotPrecedes\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊀\", StyleBox[\"y\", \"TI\"], \"⊀\", \"…\"}].", - "NotPrecedesEqual":"RowBox[{\"NotPrecedesEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotPrecedesSlantEqual":"RowBox[{\"NotPrecedesSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋠\", StyleBox[\"y\", \"TI\"], \"⋠\", \"…\"}].", - "NotPrecedesTilde":"RowBox[{\"NotPrecedesTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋨\", StyleBox[\"y\", \"TI\"], \"⋨\", \"…\"}].", - "NotReverseElement":"RowBox[{\"NotReverseElement\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∌\", StyleBox[\"y\", \"TI\"], \"∌\", \"…\"}].", - "NotRightTriangle":"RowBox[{\"NotRightTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋫\", StyleBox[\"y\", \"TI\"], \"⋫\", \"…\"}].", - "NotRightTriangleBar":"RowBox[{\"NotRightTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotRightTriangleEqual":"RowBox[{\"NotRightTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋭\", StyleBox[\"y\", \"TI\"], \"⋭\", \"…\"}].", - "NotSquareSubset":"RowBox[{\"NotSquareSubset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotSquareSubsetEqual":"RowBox[{\"NotSquareSubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋢\", StyleBox[\"y\", \"TI\"], \"⋢\", \"…\"}].", - "NotSquareSuperset":"RowBox[{\"NotSquareSuperset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotSquareSupersetEqual":"RowBox[{\"NotSquareSupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋣\", StyleBox[\"y\", \"TI\"], \"⋣\", \"…\"}].", - "NotSubset":"RowBox[{\"NotSubset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊄\", StyleBox[\"y\", \"TI\"], \"⊄\", \"…\"}].", - "NotSubsetEqual":"RowBox[{\"NotSubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊈\", StyleBox[\"y\", \"TI\"], \"⊈\", \"…\"}].", - "NotSucceeds":"RowBox[{\"NotSucceeds\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊁\", StyleBox[\"y\", \"TI\"], \"⊁\", \"…\"}].", - "NotSucceedsEqual":"RowBox[{\"NotSucceedsEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "NotSucceedsSlantEqual":"RowBox[{\"NotSucceedsSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋡\", StyleBox[\"y\", \"TI\"], \"⋡\", \"…\"}].", - "NotSucceedsTilde":"RowBox[{\"NotSucceedsTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋩\", StyleBox[\"y\", \"TI\"], \"⋩\", \"…\"}].", - "NotSuperset":"RowBox[{\"NotSuperset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊅\", StyleBox[\"y\", \"TI\"], \"⊅\", \"…\"}].", - "NotSupersetEqual":"RowBox[{\"NotSupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊉\", StyleBox[\"y\", \"TI\"], \"⊉\", \"…\"}].", - "NotTilde":"RowBox[{\"NotTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≁\", StyleBox[\"y\", \"TI\"], \"≁\", \"…\"}].", - "NotTildeEqual":"RowBox[{\"NotTildeEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≄\", StyleBox[\"y\", \"TI\"], \"≄\", \"…\"}].", - "NotTildeFullEqual":"RowBox[{\"NotTildeFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≇\", StyleBox[\"y\", \"TI\"], \"≇\", \"…\"}].", - "NotTildeTilde":"RowBox[{\"NotTildeTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≉\", StyleBox[\"y\", \"TI\"], \"≉\", \"…\"}].", - "NotVerticalBar":"RowBox[{\"NotVerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "Now":"Now gives a DateObject representing the current moment in time.", - "NoWhitespace":"NoWhitespace represents the absence of whitespace between elements in a grammar rules pattern.", - "NProbability":"RowBox[{\"NProbability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical probability for an event that satisfies the predicate StyleBox[\"pred\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"NProbability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the numerical probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"NProbability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] gives the numerical probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"] are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"NProbability\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the numerical conditional probability of SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]] given SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "NProduct":"RowBox[{\"NProduct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a numerical approximation to the product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], \"min\"]}], SubscriptBox[StyleBox[\"i\", \"TI\"], \"max\"]], StyleBox[\"f\", \"TI\"]}].\nRowBox[{\"NProduct\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses a step StyleBox[\"di\", \"TI\"] in the product. ", - "NProductFactors":"NProductFactors is an option for NProduct. RowBox[{\"NProductFactors\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] explicitly includes StyleBox[\"n\", \"TI\"] factors in the product before extrapolation.", - "NRoots":"RowBox[{\"NRoots\", \"[\", RowBox[{RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] yields a disjunction of equations which represent numerical approximations to the roots of a polynomial equation. ", - "NSolve":"RowBox[{\"NSolve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] attempts to find numerical approximations to the solutions of the system StyleBox[\"expr\", \"TI\"] of equations or inequalities for the variables StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"NSolve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", \"Reals\"}], \"]\"}] finds solutions over the domain of real numbers.", - "NSum":"RowBox[{\"NSum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a numerical approximation to the sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], \"min\"]}], SubscriptBox[StyleBox[\"i\", \"TI\"], \"max\"]], StyleBox[\"f\", \"TI\"]}].\nRowBox[{\"NSum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses a step StyleBox[\"di\", \"TI\"] in the sum. ", - "NSumTerms":"NSumTerms is an option for NSum. RowBox[{\"NSumTerms\", \" \", \"->\", \" \", StyleBox[\"n\", \"TI\"]}] explicitly includes StyleBox[\"n\", \"TI\"] terms in the sum before extrapolation.", - "NuclearExplosionData":"RowBox[{\"NuclearExplosionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the nuclear explosion StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NuclearExplosionData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified nuclear explosion entities.\nRowBox[{\"NuclearExplosionData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "NuclearReactorData":"RowBox[{\"NuclearReactorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the nuclear reactor StyleBox[\"entity\", \"TI\"].\nRowBox[{\"NuclearReactorData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified nuclear reactor entities.\nRowBox[{\"NuclearReactorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Null":"Null is a symbol used to indicate the absence of an expression or a result. It is not displayed in ordinary output. When Null appears as a complete output expression, no output is printed. ", - "NullRecords":"NullRecords is an option for Read and related functions which specifies whether null records should be taken to exist between repeated record separators. ", - "NullSpace":"RowBox[{\"NullSpace\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of vectors that forms a basis for the null space of the matrix StyleBox[\"m\", \"TI\"]. ", - "NullWords":"NullWords is an option for Read and related functions which specifies whether null words should be taken to exist between repeated word separators. ", - "Number":"Number represents an exact integer or an approximate real number in Read. ", - "NumberCompose":"RowBox[{\"NumberCompose\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns the quantity RowBox[{RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]], \" \", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}]}].", - "NumberDecompose":"RowBox[{\"NumberDecompose\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] returns a list of coefficients RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}] of a decomposition of the number StyleBox[\"x\", \"TI\"] in the basis RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", - "NumberExpand":"RowBox[{\"NumberExpand\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a list of the decimal digits of StyleBox[\"x\", \"TI\"] multiplied by their corresponding powers of 10. \nRowBox[{\"NumberExpand\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] expands StyleBox[\"x\", \"TI\"] in base StyleBox[\"b\", \"TI\"].\nRowBox[{\"NumberExpand\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] gives a list of length StyleBox[\"len\", \"TI\"].", - "NumberFieldClassNumber":"RowBox[{\"NumberFieldClassNumber\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives the class number for the algebraic number field RowBox[{\"\", \"[\", \"θ\", \"]\"}] generated by StyleBox[\"θ\", \"TR\"].", - "NumberFieldDiscriminant":"RowBox[{\"NumberFieldDiscriminant\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the discriminant of the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", - "NumberFieldFundamentalUnits":"RowBox[{\"NumberFieldFundamentalUnits\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives a list of fundamental units for the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", - "NumberFieldIntegralBasis":"RowBox[{\"NumberFieldIntegralBasis\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives an integral basis for the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", - "NumberFieldNormRepresentatives":"RowBox[{\"NumberFieldNormRepresentatives\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives a list of representatives of classes of algebraic integers of norm RowBox[{\"±\", StyleBox[\"m\", \"TI\"]}] in the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", - "NumberFieldRegulator":"RowBox[{\"NumberFieldRegulator\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the regulator of the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", - "NumberFieldRootsOfUnity":"RowBox[{\"NumberFieldRootsOfUnity\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the roots of unity for the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", - "NumberFieldSignature":"RowBox[{\"NumberFieldSignature\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] gives the signature of the field RowBox[{\"\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] generated by the algebraic number StyleBox[\"a\", \"TI\"].", - "NumberForm":"RowBox[{\"NumberForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with approximate real numbers in StyleBox[\"expr\", \"TI\"] given to StyleBox[\"n\", \"TI\"]‐digit precision. \nRowBox[{\"NumberForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}]}], \"]\"}] prints with approximate real numbers having StyleBox[\"n\", \"TI\"] digits, with StyleBox[\"f\", \"TI\"] digits to the right of the decimal point.\nRowBox[{\"NumberForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints using the default options of NumberForm.", - "NumberFormat":"NumberFormat is an option for NumberForm and related functions that specifies how the mantissa, base, and exponent should be assembled into a final print form. ", - "NumberLinePlot":"RowBox[{\"NumberLinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots the values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] on a number line.\nRowBox[{\"NumberLinePlot\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] plots a number line illustrating the region StyleBox[\"pred\", \"TI\"].\nRowBox[{\"NumberLinePlot\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots the number to extend over the interval from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"NumberLinePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots several number lines.", - "NumberMarks":"NumberMarks is an option for InputForm and related functions that specifies whether ` marks should be included in the printed forms of approximate numbers. ", - "NumberMultiplier":"NumberMultiplier is an option for NumberForm and related functions which gives the string to use as a multiplication sign in scientific notation. ", - "NumberPadding":"NumberPadding is an option for NumberForm and related functions which gives strings to use as padding on the left‐ and right‐hand sides of numbers. ", - "NumberPoint":"NumberPoint is an option for NumberForm and related functions that gives the string to use as a decimal point. ", - "NumberQ":"RowBox[{\"NumberQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a number, and False otherwise. ", - "NumberSeparator":"NumberSeparator is an option for NumberForm and related functions that gives the string to insert at breaks between digits. ", - "NumberSigns":"NumberSigns is an option for NumberForm and related functions which gives strings to use as signs for negative and positive numbers. ", - "NumberString":"NumberString represents the characters of a number in StringExpression.", - "Numerator":"RowBox[{\"Numerator\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the numerator of StyleBox[\"expr\", \"TI\"]. ", - "NumericalOrder":"RowBox[{\"NumericalOrder\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives 1 if RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"<\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], RowBox[{\"-\", \"1\"}] if RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \">\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], 0 if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]] are identical or numerically the same and RowBox[{\"Order\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] if SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]] are not numerically comparable.", - "NumericalSort":"RowBox[{\"NumericalSort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into numerical order.", - "NumericFunction":"NumericFunction is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that RowBox[{\"f\", \"[\", RowBox[{SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] should be considered a numeric quantity whenever all the SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"i\", \"TI\"]] are numeric quantities. ", - "NumericQ":"RowBox[{\"NumericQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a numeric quantity, and False otherwise. ", - "NuttallWindow":"RowBox[{\"NuttallWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Nuttall window function of StyleBox[\"x\", \"TI\"].", - "NValues":"RowBox[{\"NValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all numerical values (values for RowBox[{\"N\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", - "NyquistGridLines":"NyquistGridLines is an option to NyquistPlot that specifies contours of constant magnitude and phase of a closed-loop system.", - "NyquistPlot":"RowBox[{\"NyquistPlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a Nyquist plot of the transfer function for the system StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"NyquistPlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"NyquistPlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", - "O":"RowBox[{RowBox[{\"O\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"^\", StyleBox[\"n\", \"TI\"]}] represents a term of order SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{RowBox[{\"O\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"^\", StyleBox[\"n\", \"TI\"]}] is generated to represent omitted higher‐order terms in power series. \nRowBox[{RowBox[{\"O\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}], \"^\", StyleBox[\"n\", \"TI\"]}] represents a term of order SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"-\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \")\"}], StyleBox[\"n\", \"TI\"]]. ", - "ObservabilityGramian":"RowBox[{\"ObservabilityGramian\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the observability Gramian of the state-space model StyleBox[\"ssm\", \"TI\"].", - "ObservabilityMatrix":"RowBox[{\"ObservabilityMatrix\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the observability matrix of the state-space model StyleBox[\"ssm\", \"TI\"].", - "ObservableDecomposition":"RowBox[{\"ObservableDecomposition\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] yields the observable subsystem of the system StyleBox[\"sys\", \"TI\"].\nRowBox[{\"ObservableDecomposition\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies the new coordinates SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ObservableModelQ":"RowBox[{\"ObservableModelQ\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives True if the system StyleBox[\"sys\", \"TI\"] is observable, and False otherwise.\nRowBox[{\"ObservableModelQ\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"sub\", \"TI\"]}], \"}\"}], \"]\"}] gives True if the subsystem StyleBox[\"sub\", \"TI\"] is observable.", - "OceanData":"RowBox[{\"OceanData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the ocean StyleBox[\"entity\", \"TI\"].\nRowBox[{\"OceanData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified ocean entities.\nRowBox[{\"OceanData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "OddQ":"RowBox[{\"OddQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is an odd integer, and False otherwise. ", - "Off":"RowBox[{\"Off\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] switches off a message, so that it is no longer printed. \nRowBox[{\"Off\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] switches off a named group of messages.\nRowBox[{\"Off\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] switches off tracing messages associated with the symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Off\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] switches off several messages or message groups. ", - "Offset":"RowBox[{\"Offset\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"position\", \"TI\"]}], \"]\"}] gives the position of a graphical object obtained by starting at the specified position and then moving by absolute offset RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]. ", - "On":"RowBox[{\"On\", \"[\", RowBox[{StyleBox[\"symbol\", \"TI\"], \"::\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] switches on a message, so that it can be printed. \nRowBox[{\"On\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] switches on a named group of messages.\nRowBox[{\"On\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] switches on tracing for the symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"On\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] switches on several messages or message groups. ", - "ONanGroupON":"RowBox[{\"ONanGroupON\", \"[\", \"]\"}] represents the sporadic simple O'Nan group RowBox[{RowBox[{StyleBox[\"O\", FontSlant -> \"Plain\"], \"'\"}], StyleBox[\"N\", FontSlant -> \"Plain\"]}].", - "Once":"RowBox[{\"Once\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] once in each Wolfram Language session, always returning the result from the first evaluation.\nRowBox[{\"Once\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] once and caches the result in persistence location StyleBox[\"loc\", \"TI\"].", - "OneIdentity":"OneIdentity is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}], etc. are all equivalent to StyleBox[\"x\", \"TI\"] for the purpose of pattern matching. ", - "Opacity":"RowBox[{\"Opacity\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] is a graphics directive that specifies that graphical objects that follow are to be displayed, if possible, with opacity StyleBox[\"a\", \"TI\"]. \nRowBox[{\"Opacity\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"color\", \"TI\"]}], \"]\"}] uses the specified color with opacity StyleBox[\"a\", \"TI\"].", - "OpacityFunction":"OpacityFunction is an option for graphics functions that specifies a function to apply to determine opacity of elements.", - "OpacityFunctionScaling":"OpacityFunctionScaling is an option to visualization functions such as DensityPlot3D that specifies whether arguments supplied to OpacityFunction should be scaled to lie between 0 and 1.", - "OpenAppend":"RowBox[{\"OpenAppend\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a file to append output to it, and returns an OutputStream object. ", - "Opener":"RowBox[{\"Opener\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents an opener with setting StyleBox[\"x\", \"TI\"], displayed as OpenerBox[True] when StyleBox[\"x\", \"TI\"] is True and OpenerBox[False] when StyleBox[\"x\", \"TI\"] is False. \nRowBox[{\"Opener\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being toggled if the opener is clicked. ", - "OpenerBoxOptions":"RowBox[{OpenerBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for OpenerBox objects.", - "OpenerView":"RowBox[{\"OpenerView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] represents an object which displays as an opener, together with SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] if the opener is closed, and both SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] if it is open.\nRowBox[{\"OpenerView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"state\", \"TI\"]}], \"]\"}] specifies the state of the opener, with False being closed, and True being open.", - "Opening":"RowBox[{\"Opening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological opening of StyleBox[\"image\", \"TI\"] with respect to the structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"Opening\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the opening with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"Opening\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies opening to an array of data.", - "OpenRead":"RowBox[{\"OpenRead\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a file to read data from, and returns an InputStream object.", - "OpenTemporary":"RowBox[{\"OpenTemporary\", \"[\", \"]\"}] opens a temporary file to which output can be written, and returns an OutputStream object. ", - "OpenWrite":"RowBox[{\"OpenWrite\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens a file to write output to it, and returns an OutputStream object. \nRowBox[{\"OpenWrite\", \"[\", \"]\"}] opens a new file in the default area for temporary files on your computer system.", - "Operate":"RowBox[{\"Operate\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}]}], \"]\"}] gives RowBox[{RowBox[{StyleBox[\"p\", \"TI\"], \"[\", StyleBox[\"f\", \"TI\"], \"]\"}], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}]. \nRowBox[{\"Operate\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] applies StyleBox[\"p\", \"TI\"] at level StyleBox[\"n\", \"TI\"] in the head of StyleBox[\"expr\", \"TI\"]. ", - "OperatingSystem":"OperatingSystem is an option for file and related operations that specifies the type of operating system to use to determine file name and other conventions.", - "OptimumFlowData":"RowBox[{\"OptimumFlowData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents flow data such as generated by FindMaximumFlow, FindMinimumCostFlow, etc.", - "Optional":"RowBox[{StyleBox[\"p\", \"TI\"], \":\", StyleBox[\"v\", \"TI\"]}] is a pattern object that represents an expression of the form StyleBox[\"p\", \"TI\"], which, if omitted, should be replaced by StyleBox[\"v\", \"TI\"]. ", - "OptionalElement":"RowBox[{\"OptionalElement\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] is a grammar rules pattern object that represents 0 or 1 instances of StyleBox[\"patt\", \"TI\"].\nRowBox[{\"OptionalElement\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] uses StyleBox[\"default\", \"TI\"] if the element is not present. ", - "OptionInspectorSettings":"OptionInspectorSettings is a global option that specifies the display of options in the StyleBox[\"Option Inspector\", \"DialogElementName\"].", - "OptionQ":"RowBox[{\"OptionQ\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] returns True if StyleBox[\"e\", \"TI\"] can be considered an option or list of options, and False otherwise.", - "Options":"RowBox[{\"Options\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the list of default options assigned to a symbol. \nRowBox[{\"Options\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the options explicitly specified in a particular expression such as a graphics object. \nRowBox[{\"Options\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] or RowBox[{\"Options\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sname\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives options associated with a particular stream. \nRowBox[{\"Options\", \"[\", StyleBox[\"object\", \"TI\"], \"]\"}] gives options associated with an external object such as a NotebookObject. \nRowBox[{\"Options\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the setting for the option StyleBox[\"name\", \"TI\"]. \nRowBox[{\"Options\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the settings for the options SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "OptionsPattern":"RowBox[{\"OptionsPattern\", \"[\", \"]\"}] is a pattern object that represents a collection of options given as rules, where the values of the options can be accessed using OptionValue. \nRowBox[{\"OptionsPattern\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] takes default option values from RowBox[{\"Options\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}].\nRowBox[{\"OptionsPattern\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses an explicit list of default option values.", - "OptionValue":"RowBox[{\"OptionValue\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] gives the value of StyleBox[\"name\", \"TI\"] in options matched by OptionsPattern. \nRowBox[{\"OptionValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"name\", \"TI\"] for options associated with the head StyleBox[\"f\", \"TI\"]. \nRowBox[{\"OptionValue\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] extracts option values from the explicit list of rules StyleBox[\"opts\", \"TI\"].\nRowBox[{\"OptionValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts several option values.", - "OptionValueBoxOptions":"RowBox[{OptionValueBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for OptionValueBox objects.", - "Or":"RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"||\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"||\", StyleBox[\"…\", \"TR\"]}] is the logical OR function. It evaluates its arguments in order, giving True immediately if any of them are True, and False if they are all False. ", - "Orange":"Orange represents the color orange in graphics or style specifications. ", - "Order":"RowBox[{\"Order\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives 1 if SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] is before SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] in canonical order, and RowBox[{\"-\", \"1\"}] if SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] is after SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]] in canonical order. It gives 0 if SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]] is identical to SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "OrderDistribution":"RowBox[{\"OrderDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"]-order statistics distribution for StyleBox[\"n\", \"TI\"] observations from the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"OrderDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the joint RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], \"2\"], \",\", \"…\"}], \")\"}]SuperscriptBox[\"\", \"th\"]-order statistics distribution from StyleBox[\"n\", \"TI\"] observations from the distribution StyleBox[\"dist\", \"TI\"]. \nRowBox[{\"OrderDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the order statistics distribution for independent distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"OrderDistribution\", \"[\", RowBox[{StyleBox[\"mdist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the order statistics distribution for multivariate distribution StyleBox[\"mdist\", \"TI\"].", - "OrderedQ":"RowBox[{\"OrderedQ\", \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] gives True if the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are in canonical order, and False otherwise. ", - "Ordering":"RowBox[{\"Ordering\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the positions in StyleBox[\"list\", \"TI\"] at which each successive element of RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] appears. \nRowBox[{\"Ordering\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions in StyleBox[\"list\", \"TI\"] at which the first StyleBox[\"n\", \"TI\"] elements of RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] appear. \nRowBox[{\"Ordering\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the positions of the last StyleBox[\"n\", \"TI\"] elements of RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]. \nRowBox[{\"Ordering\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] uses RowBox[{\"Sort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}]. ", - "Orderless":"Orderless is an attribute that can be assigned to a symbol StyleBox[\"f\", \"TI\"] to indicate that the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in expressions of the form RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] should automatically be sorted into canonical order. This property is accounted for in pattern matching. ", - "OrderlessPatternSequence":"RowBox[{\"OrderlessPatternSequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a pattern object that represents a sequence of arguments matching RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}] in any order.", - "OrnsteinUhlenbeckProcess":"RowBox[{\"OrnsteinUhlenbeckProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] represents a stationary Ornstein–Uhlenbeck process with long-term mean StyleBox[\"μ\", \"TR\"], volatility StyleBox[\"σ\", \"TR\"], and mean reversion speed StyleBox[\"θ\", \"TR\"]. \nRowBox[{\"OrnsteinUhlenbeckProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents an Ornstein–Uhlenbeck process with initial condition SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "Orthogonalize":"RowBox[{\"Orthogonalize\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an orthonormal basis found by orthogonalizing the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Orthogonalize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives an orthonormal basis found by orthogonalizing the elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] with respect to the inner product function StyleBox[\"f\", \"TI\"].", - "OrthogonalMatrixQ":"RowBox[{\"OrthogonalMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is an explicitly orthogonal matrix, and False otherwise.", - "Out":"RowBox[{\"%\", StyleBox[\"n\", \"TI\"]}] or RowBox[{\"Out\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a global object that is assigned to be the value produced on the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] output line. \n% gives the last result generated. \n%% gives the result before last. RowBox[{\"%%\", StyleBox[\"…\", \"TR\"], \"%\"}] (StyleBox[\"k\", \"TI\"] times) gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] previous result. ", - "Outer":"RowBox[{\"Outer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the generalized outer product of the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]], forming all possible combinations of the lowest‐level elements in each of them, and feeding them as arguments to StyleBox[\"f\", \"TI\"]. \nRowBox[{\"Outer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] treats as separate elements only sublists at level StyleBox[\"n\", \"TI\"] in the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Outer\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] treats as separate elements only sublists at level SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the corresponding SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "OutputAutoOverwrite":"OutputAutoOverwrite is an option for notebooks that specifies whether the output of a command should replace any existing output from a previous evaluation.", - "OutputControllabilityMatrix":"RowBox[{\"OutputControllabilityMatrix\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives the output controllability matrix of the state-space model StyleBox[\"ssm\", \"TI\"].", - "OutputControllableModelQ":"RowBox[{\"OutputControllableModelQ\", \"[\", StyleBox[\"ssm\", \"TI\"], \"]\"}] gives True if the state-space model StyleBox[\"ssm\", \"TI\"] is output controllable, and False otherwise.", - "OutputForm":"RowBox[{\"OutputForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a two-dimensional representation of StyleBox[\"expr\", \"TI\"] using only keyboard characters. ", - "OutputMathEditExpression":"OutputMathEditExpression is an internal symbol used for formatting.", - "OutputNamePacket":"RowBox[{\"OutputNamePacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains in StyleBox[\"string\", \"TI\"] the name assigned to the next output.", - "OutputResponse":"RowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the numeric output response of systems model StyleBox[\"sys\", \"TI\"] to the input StyleBox[\"u\", \"TI\"] for RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"≤\", StyleBox[\"t\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}].\nRowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"0\", \"]\"}], \",\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"1\", \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the output response of the discrete-time system StyleBox[\"sys\", \"TI\"] to the input sequence RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}].\nRowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic output response of system StyleBox[\"sys\", \"TI\"] to the input StyleBox[\"u\", \"TI\"] as a function of time StyleBox[\"t\", \"TI\"].\nRowBox[{\"OutputResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the output response for multiple inputs SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "OutputSizeLimit":"OutputSizeLimit is an option for notebooks that specifies the maximum size in bytes of expressions that will automatically be output in their entirety.", - "OutputStream":"RowBox[{\"OutputStream\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is an object that represents an output stream for functions such as Write. ", - "OverBar":"RowBox[{\"OverBar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a bar over StyleBox[\"expr\", \"TI\"].", - "OverDot":"RowBox[{\"OverDot\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a dot over StyleBox[\"expr\", \"TI\"].", - "Overflow":"RowBox[{\"Overflow\", \"[\", \"]\"}] represents a number too large to represent explicitly on your computer system.", - "OverHat":"RowBox[{\"OverHat\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a hat over StyleBox[\"expr\", \"TI\"].", - "Overlaps":"Overlaps is an option to string and sequence functions that specifies how to treat overlapping substrings. ", - "Overlay":"RowBox[{\"Overlay\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] displays as an overlay of all the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Overlay\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] displays as an overlay of SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"j\", \"TI\"]], ….\nRowBox[{\"Overlay\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] allows selections to be made and controls to be clicked in SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"s\", \"TI\"]].", - "OverlayBoxOptions":"RowBox[{OverlayBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for OverlayBox objects.", - "Overscript":"RowBox[{\"Overscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as OverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. ", - "OverscriptBox":"RowBox[{OverscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for OverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", - "OverscriptBoxOptions":"OverscriptBoxOptions is an option that specifies the style and display of OverscriptBox constructs.", - "OverTilde":"RowBox[{\"OverTilde\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a tilde over StyleBox[\"expr\", \"TI\"].", - "OverVector":"RowBox[{\"OverVector\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a right vector over StyleBox[\"expr\", \"TI\"].", - "OverwriteTarget":"OverwriteTarget is an option for functions like CopyFile that specifies whether to overwrite if target files already exist.", - "OwenT":"RowBox[{\"OwenT\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives Owen's T function RowBox[{StyleBox[\"T\", \"TI\"], \"(\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \")\"}].", - "OwnValues":"RowBox[{\"OwnValues\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the rule corresponding to any ownvalue defined for the symbol StyleBox[\"x\", \"TI\"].", - "PackingMethod":"PackingMethod is an option for GraphPlot and related functions that specifies how disconnected components should be packed together in the layout produced.", - "PaddedForm":"RowBox[{\"PaddedForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with all numbers in StyleBox[\"expr\", \"TI\"] padded to leave room for a total of StyleBox[\"n\", \"TI\"] digits. \nRowBox[{\"PaddedForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}]}], \"]\"}] prints with approximate real numbers having exactly StyleBox[\"f\", \"TI\"] digits to the right of the decimal point. ", - "Padding":"Padding is an option to various array and image operations that specifies what padding to use when extending beyond the original data specified.", - "PaddingLayer":"RowBox[{\"PaddingLayer\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a net layer that pads an input tensor with SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements at the beginning and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements at the end at level StyleBox[\"i\", \"TI\"] of the tensor.", - "PaddingSize":"PaddingSize is an option in AudioDelay and other functions that specifies the amount of padding.", - "PadeApproximant":"RowBox[{\"PadeApproximant\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] gives the Padé approximant to StyleBox[\"expr\", \"TI\"] about the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], with numerator order StyleBox[\"m\", \"TI\"] and denominator order StyleBox[\"n\", \"TI\"].\nRowBox[{\"PadeApproximant\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the diagonal Padé approximant to StyleBox[\"expr\", \"TI\"] about the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] of order StyleBox[\"n\", \"TI\"].", - "PadLeft":"RowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a list of length StyleBox[\"n\", \"TI\"] by padding StyleBox[\"list\", \"TI\"] with zeros on the left. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pads by repeating the element StyleBox[\"x\", \"TI\"]. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by cyclically repeating the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] leaves a margin of StyleBox[\"m\", \"TI\"] elements of padding on the right. \nRowBox[{\"PadLeft\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a nested list with length SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"]. \nRowBox[{\"PadLeft\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] pads a ragged array StyleBox[\"list\", \"TI\"] with zeros to make it full. ", - "PadRight":"RowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a list of length StyleBox[\"n\", \"TI\"] by padding StyleBox[\"list\", \"TI\"] with zeros on the right. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pads by repeating the element StyleBox[\"x\", \"TI\"]. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads by cyclically repeating the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"padding\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] leaves a margin of StyleBox[\"m\", \"TI\"] elements of padding on the left. \nRowBox[{\"PadRight\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a nested list with length SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"]. \nRowBox[{\"PadRight\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] pads a ragged array StyleBox[\"list\", \"TI\"] with zeros to make it full. ", - "PageBreakAbove":"PageBreakAbove is an option for Cell which specifies whether a page break should be made immediately above the cell if the notebook that contains the cell is printed. ", - "PageBreakBelow":"PageBreakBelow is an option for Cell which specifies whether a page break should be made immediately below the cell if the notebook that contains the cell is printed. ", - "PageBreakWithin":"PageBreakWithin is an option for Cell which specifies whether a page break should be allowed within the cell if the notebook that contains the cell is printed. ", - "PageFooterLines":"PageFooterLines is an option for notebooks that specifies whether a horizontal line is inserted at the bottom of each page when the notebook is printed.", - "PageFooters":"PageFooters is an option for notebooks that specifies what should be inserted as the footer of each page of a notebook when it is printed.", - "PageHeaderLines":"PageHeaderLines is an option for notebooks that specifies whether a horizontal line is inserted at the top of each page when the notebook is printed.", - "PageHeaders":"PageHeaders is an option for notebooks that specifies what should be inserted as the header of each page of a notebook when it is printed.", - "PageRankCentrality":"RowBox[{\"PageRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] gives a list of page-rank centralities for the vertices in the graph StyleBox[\"g\", \"TI\"] and weight StyleBox[\"α\", \"TR\"].\nRowBox[{\"PageRankCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] gives a list of page-rank centralities, using weight StyleBox[\"α\", \"TR\"] and initial centralities StyleBox[\"β\", \"TR\"].\nRowBox[{\"PageRankCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "PageTheme":"PageTheme is an option for FormObject, GalleryView, and related functions that specifies an overall theme for a webpage and its elements.", - "PageWidth":"PageWidth is an option for output streams and for cells that specifies how wide each line of text is allowed to be.", - "Pagination":"Pagination is an option for GalleryView and related functions that specifies how pagination should be done in displayed output.", - "PairedBarChart":"RowBox[{\"PairedBarChart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a paired bar chart with bar lengths SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], RowBox[{StyleBox[\" \", \"TI\"], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], … and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], …, respectively.\nRowBox[{\"PairedBarChart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a paired bar chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PairedBarChart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a paired bar chart from multiple datasets SubscriptBox[StyleBox[SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], StyleBox[\"j\", \"TI\"]].", - "PairedHistogram":"RowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] plots a paired histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \" \", StyleBox[\"bspec\", \"TI\"]}], \"]\"}] plots a paired histogram with bin width specification StyleBox[\"bspec\", \"TI\"].\nRowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"bspec\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] plots a paired histogram with bin heights computed according to the specification StyleBox[\"hspec\", \"TI\"].\nRowBox[{\"PairedHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots paired histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] and SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"j\", \"TI\"]}]].", - "PairedSmoothHistogram":"RowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] plots a paired smooth histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a paired smooth histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots a paired smooth histogram with distribution function StyleBox[\"dfun\", \"TI\"].\nRowBox[{\"PairedSmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots paired smooth histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] and SubscriptBox[StyleBox[\"data\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"j\", \"TI\"]}]].", - "PairedTTest":"RowBox[{\"PairedTTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"PairedTTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the mean of RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"–\", \" \", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] is zero.\nRowBox[{\"PairedTTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests a location measure against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"PairedTTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "PairedZTest":"RowBox[{\"PairedZTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of the StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"PairedZTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"PairedZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] tests for zero or equal means assuming a population variance StyleBox[\"σ\", \"TR\"].\nRowBox[{\"PairedZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the mean against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"PairedZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "PaletteNotebook":"RowBox[{\"PaletteNotebook\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cell\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a palette notebook that can be manipulated by the StyleBox[\"Wolfram System\", \"RebrandingTerm\"] front end. ", - "PalettePath":"PalettePath is a global option that specifies which directories StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] searches for palettes on startup.", - "PalindromeQ":"RowBox[{\"PalindromeQ\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] returns True if the given list is identical to RowBox[{\"Reverse\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}], and False otherwise.\nRowBox[{\"PalindromeQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns True if the integer StyleBox[\"n\", \"TI\"] is identical to RowBox[{\"IntegerReverse\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], and False otherwise.\nRowBox[{\"PalindromeQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] returns True if the given string is identical to RowBox[{\"StringReverse\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}], and False otherwise. ", - "Pane":"RowBox[{\"Pane\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as a pane containing StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Pane\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] makes the pane be StyleBox[\"w\", \"TI\"] printer's points wide, linewrapping the contents if necessary.\nRowBox[{\"Pane\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] makes the pane be StyleBox[\"w\", \"TI\"] points wide and StyleBox[\"h\", \"TI\"] points high, shrinking the contents if necessary.", - "PaneBoxOptions":"RowBox[{PaneBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PaneBox objects.", - "Panel":"RowBox[{\"Panel\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as a panel containing StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Panel\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"title\", \"TI\"]}], \"]\"}] gives the panel the specified title. \nRowBox[{\"Panel\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"title\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places StyleBox[\"title\", \"TI\"] at a position specified by StyleBox[\"pos\", \"TI\"]. \nRowBox[{\"Panel\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"title\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"title\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] places SubscriptBox[StyleBox[\"title\", \"TI\"], StyleBox[\"i\", \"TI\"]] at position SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Panel\", \"[\", \"]\"}] displays an empty panel. ", - "PanelBoxOptions":"RowBox[{PanelBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PanelBox objects.", - "Paneled":"Paneled is an option for Manipulate and related functions that specifies whether to give the output inside a panel.", - "PaneSelector":"RowBox[{\"PaneSelector\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \"…\"}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents an object that displays as a pane containing the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] is equal to StyleBox[\"v\", \"TI\"]. ", - "PaneSelectorBoxOptions":"RowBox[{PaneSelectorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PaneSelectorBox objects.", - "ParabolicCylinderD":"RowBox[{\"ParabolicCylinderD\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the parabolic cylinder function RowBox[{SubscriptBox[StyleBox[\"D\", \"TI\"], \"ν\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "ParagraphIndent":"ParagraphIndent is an option for Cell which specifies how far in printer's points to indent the first line of each paragraph of text. ", - "ParagraphSpacing":"ParagraphSpacing is an option for Cell, StyleBox, and Style that specifies how much extra space to leave between successive paragraphs of text. ", - "ParallelArray":"RowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates in parallel a list of length StyleBox[\"n\", \"TI\"], with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}], evaluated.\nRowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates in parallel an RowBox[{SubscriptBox[\"n\", \"1\"], \"\", SubscriptBox[\"n\", \"2\"], \"\", \"…\"}] array of nested lists, with elements RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]. \nRowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates in parallel a list using the index origins SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] (default 1). \nRowBox[{\"ParallelArray\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"origin\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] uses head StyleBox[\"h\", \"TI\"], rather than List, for each level of the array. ", - "ParallelCombine":"RowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"comb\", \"TI\"]}], \"]\"}] evaluates RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] in parallel by distributing parts of the computation to all parallel kernels and combining the partial results with StyleBox[\"comb\", \"TI\"].\nRowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"]\"}] is equivalent to RowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] if StyleBox[\"h\", \"TI\"] has attribute Flat, and RowBox[{\"ParallelCombine\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{StyleBox[\"h\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", \"Join\"}], \"]\"}] otherwise.", - "ParallelDo":"RowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] in parallel SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] times. \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] in parallel with the variable StyleBox[\"i\", \"TI\"] successively taking on the values 1 through SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] (in steps of 1). \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ParallelDo\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] looping in parallel over different values of StyleBox[\"j\", \"TI\"], etc. for each StyleBox[\"i\", \"TI\"]. ", - "Parallelepiped":"RowBox[{\"Parallelepiped\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a parallelepiped with origin StyleBox[\"p\", \"TI\"] and directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ParallelEvaluate":"RowBox[{\"ParallelEvaluate\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates the expression StyleBox[\"expr\", \"TI\"] on all available parallel kernels and returns the list of results obtained.\nRowBox[{\"ParallelEvaluate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"kernel\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] on the parallel kernel specified. \nRowBox[{\"ParallelEvaluate\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] on the parallel kernels SubscriptBox[StyleBox[\"ker\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Parallelization":"Parallelization is an option for Compile that specifies whether it should create a compiled function that could run in parallel. ", - "Parallelize":"RowBox[{\"Parallelize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] using automatic parallelization.", - "ParallelMap":"RowBox[{\"ParallelMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] in parallel to each element on the first level in StyleBox[\"expr\", \"TI\"].\nRowBox[{\"ParallelMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] in parallel to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"].", - "ParallelNeeds":"RowBox[{\"ParallelNeeds\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] evaluates RowBox[{\"Needs\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context`\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] on all available parallel kernels.", - "Parallelogram":"RowBox[{\"Parallelogram\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a parallelogram with origin StyleBox[\"p\", \"TI\"] and directions SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ParallelProduct":"RowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates the product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], StyleBox[\"expr\", FontSlant -> \"Italic\"]}] in parallel.\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}].\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps RowBox[{StyleBox[\"d\", \"TI\"], \"\", StyleBox[\"i\", \"TI\"]}].\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ParallelProduct\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates the multiple product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{\"…\", \" \", StyleBox[\"expr\", FontSlant -> \"Italic\"]}]}]}] in parallel.", - "ParallelSubmit":"RowBox[{\"ParallelSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits StyleBox[\"expr\", \"TI\"] for evaluation on the next available parallel kernel and returns an EvaluationObject expression representing the submitted evaluation.\nRowBox[{\"ParallelSubmit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] builds a closure for the variables given before submitting StyleBox[\"expr\", \"TI\"].", - "ParallelSum":"RowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates in parallel the sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], StyleBox[\"expr\", FontSlant -> \"Italic\"]}].\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[StyleBox[\"min\", \"TI\"], FontSlant -> \"Italic\"]]}].\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps RowBox[{StyleBox[\"d\", \"TI\"], \"\", StyleBox[\"i\", \"TI\"]}].\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], …..\nRowBox[{\"ParallelSum\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates in parallel the multiple sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{\"…\", \" \", StyleBox[\"expr\", FontSlant -> \"Italic\"]}]}]}].", - "ParallelTable":"RowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"}\"}]}], \"]\"}] generates in parallel a list of SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]] copies of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates in parallel a list of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"i\", \"TI\"] runs from StyleBox[\"1\", \"TR\"] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ParallelTable\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list. The list associated with StyleBox[\"i\", \"TI\"] is outermost.", - "ParallelTry":"RowBox[{\"ParallelTry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] evaluates RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] in parallel, returning the first result received.\nRowBox[{\"ParallelTry\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] returns a list of the first StyleBox[\"k\", \"TI\"] results.", - "ParameterEstimator":"ParameterEstimator is an option to EstimatedDistribution and FindDistributionParameters that specifies what parameter estimator to use. ", - "ParameterMixtureDistribution":"RowBox[{\"ParameterMixtureDistribution\", \"[\", RowBox[{RowBox[{StyleBox[\"dist\", \"TI\"], \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}], \",\", RowBox[{StyleBox[\"θ\", \"TR\"], \"\", StyleBox[\"wdist\", \"TI\"]}]}], \"]\"}] represents a parameter mixture distribution where the parameter StyleBox[\"θ\", \"TR\"] is distributed according to the weight distribution StyleBox[\"wdist\", \"TI\"]. \nRowBox[{\"ParameterMixtureDistribution\", \"[\", RowBox[{RowBox[{StyleBox[\"dist\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a parameter mixture distribution where the parameter SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] has weight distribution SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]] has weight distribution SubscriptBox[StyleBox[\"wdist\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc. ", - "ParameterVariables":"ParameterVariables is an option for GroebnerBasis and PolynomialReduce. These variables will always be last in the ordering. By default, all variables that are not otherwise classified will become parameter variables. By specifying them explicitly one fixes their relative positions in the overall variable ordering.", - "ParametricFunction":"RowBox[{\"ParametricFunction\", \"[\", RowBox[{StyleBox[\"pars\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a function that computes a solution when evaluated with numerical values for the parameters StyleBox[\"pars\", \"TI\"]. ", - "ParametricNDSolve":"RowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] finds a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] for the function StyleBox[\"u\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] with parameters StyleBox[\"pars\", \"TI\"].\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}], StyleBox[\",\", \"MR\"], StyleBox[\" \", \"TR\"], StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], StyleBox[\"∈\", \"TR\"], StyleBox[\"Ω\", \"TR\"]}], StyleBox[\",\", \"MR\"], StyleBox[\" \", \"TR\"], StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"ParametricNDSolve\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] solves for the functions SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "ParametricNDSolveValue":"RowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] with functions determined by a numerical solution to the ordinary differential equations StyleBox[\"eqns\", \"TI\"] with the independent variable StyleBox[\"x\", \"TI\"] in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] with parameters StyleBox[\"pars\", \"TI\"].\nRowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over a rectangular region.\nRowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].\nRowBox[{\"ParametricNDSolveValue\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"Ω\", \"TR\"]}], \",\", StyleBox[\"pars\", \"TI\"]}], \"]\"}] solves the time-dependent partial differential equations StyleBox[\"eqns\", \"TI\"] over the region StyleBox[\"Ω\", \"TR\"].", - "ParametricPlot":"RowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a parametric plot of a curve with StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] coordinates SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]] and SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]] as a function of StyleBox[\"u\", \"TI\"]. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several parametric curves. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots a parametric region. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several parametric regions. \nRowBox[{\"ParametricPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes parameters RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"].", - "ParametricPlot3D":"RowBox[{\"ParametricPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] produces a three-dimensional space curve parametrized by a variable StyleBox[\"u\", \"TI\"] which runs from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"ParametricPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] produces a three-dimensional surface parametrized by StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"]. \nRowBox[{\"ParametricPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots several objects together. \nRowBox[{\"ParametricPlot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes parameters RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"].", - "ParametricRegion":"RowBox[{\"ParametricRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a region in SuperscriptBox[\"\", \"n\"] given by the points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}] for parameters RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"∈\", \"\"}].\nRowBox[{\"ParametricRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constrains parameters to an interval RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"≤\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}] etc. \nRowBox[{\"ParametricRegion\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"cond\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] constrains parameters to satisfy the condition StyleBox[\"cond\", \"TI\"].", - "ParentBox":"RowBox[{ParentBox, \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the BoxObject that contains StyleBox[\"obj\", \"TI\"].", - "ParentCell":"RowBox[{\"ParentCell\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the CellObject that contains StyleBox[\"obj\", \"TI\"].", - "ParentDirectory":"RowBox[{\"ParentDirectory\", \"[\", \"]\"}] gives the parent of the current working directory. \nRowBox[{\"ParentDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the parent of the directory StyleBox[\"dir\", \"TI\"]. \nRowBox[{\"ParentDirectory\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the directory StyleBox[\"n\", \"TI\"] levels up from StyleBox[\"dir\", \"TI\"].", - "ParentForm":"ParentForm sets the parent form for a boxes format.", - "Parenthesize":"RowBox[{\"Parenthesize\", \"[\", \" \", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \" \", StyleBox[\"fmt\", \"TI\"], \",\", \" \", StyleBox[\"prec\", \"TI\"], \",\", \" \", StyleBox[\"group\", \"TI\"]}], \"]\"}] or RowBox[{\"Parenthesize\", \"[\", \" \", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \" \", StyleBox[\"fmt\", \"TI\"], \",\", \" \", RowBox[{\"{\", RowBox[{StyleBox[\"prec\", \"TI\"], \",\", \" \", StyleBox[\"group\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]}], \"]\"}] will represent StyleBox[\"expr\", \"TI\"] in format StyleBox[\"fmt\", \"TI\"] and parenthesize it if necessary when it is an operand to an operator of the given precedence and grouping.\nRowBox[{\"Parenthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"head\", \"TI\"]}], \"]\"}] infers StyleBox[\"prec\", \"TI\"] and StyleBox[\"group\", \"TI\"] from the operator, if any, used by the symbol StyleBox[\"head\", \"TI\"] in StyleBox[\"fmt\", \"TI\"].\nRowBox[{\"Parenthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"prec\", \"TI\"], \",\", StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"side\", \"TI\"]}], \"]\"}] or RowBox[{\"Parenthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"], \",\", StyleBox[\"head\", \"TI\"], \",\", StyleBox[\"side\", \"TI\"]}], \"]\"}] assume StyleBox[\"expr\", \"TI\"] appears on the specified side of the operator.", - "ParentNotebook":"RowBox[{\"ParentNotebook\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] returns the NotebookObject that contains StyleBox[\"obj\", \"TI\"].", - "ParetoDistribution":"RowBox[{\"ParetoDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] represents a Pareto distribution with minimum value parameter StyleBox[\"k\", \"TI\"] and shape parameter StyleBox[\"α\", \"TR\"].\nRowBox[{\"ParetoDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Pareto type II distribution with location parameter StyleBox[\"μ\", \"TR\"].\nRowBox[{\"ParetoDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Pareto type IV distribution with shape parameter StyleBox[\"γ\", \"TR\"].", - "ParkData":"RowBox[{\"ParkData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the park StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ParkData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified park entities.\nRowBox[{\"ParkData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Part":"RowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", StyleBox[\"i\", \"TI\"], \"]\"}], \"]\"}] or RowBox[{\"Part\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] part of StyleBox[\"expr\", \"TI\"]. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"-\", StyleBox[\"i\", \"TI\"]}], \"]\"}], \"]\"}] counts from the end. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"]\"}] or RowBox[{\"Part\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is equivalent to RowBox[{RowBox[{RowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", StyleBox[\"i\", \"TI\"], \"]\"}], \"]\"}], \"[\", RowBox[{\"[\", StyleBox[\"j\", \"TI\"], \"]\"}], \"]\"}], StyleBox[\"…\", \"TR\"]}]. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}], \"]\"}] gives a list of the parts SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of StyleBox[\"expr\", \"TI\"]. \nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"]}], \"]\"}], \"]\"}] gives parts StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"].\nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"], \";;\", StyleBox[\"s\", \"TI\"]}], \"]\"}], \"]\"}] gives parts StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in steps of StyleBox[\"s\", \"TI\"].\nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] gives the value associated with the key \"\nStyleBox[\"key\", \"TI\"]\" in an association StyleBox[\"expr\", \"TI\"].\nRowBox[{StyleBox[\"expr\", \"TI\"], \"[\", RowBox[{\"[\", RowBox[{\"Key\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}], \"]\"}], \"]\"}] gives the value associated with an arbitrary key StyleBox[\"k\", \"TI\"] in the association StyleBox[\"expr\", \"TI\"].", - "PartBehavior":"PartBehavior is an option to Query and related functions that specifies how nonexistent parts should be resolved.", - "PartialCorrelationFunction":"RowBox[{\"PartialCorrelationFunction\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] estimates the partial correlation function at lags StyleBox[\"hspec\", \"TI\"] from StyleBox[\"data\", \"TI\"].\nRowBox[{\"PartialCorrelationFunction\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"hspec\", \"TI\"]}], \"]\"}] represents the partial correlation function at lags StyleBox[\"hspec\", \"TI\"] for the time series process StyleBox[\"tproc\", \"TI\"]. ", - "ParticleAcceleratorData":"RowBox[{\"ParticleAcceleratorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the particle accelerator StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ParticleAcceleratorData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified particle accelerator entities.\nRowBox[{\"ParticleAcceleratorData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "ParticleData":"RowBox[{\"ParticleData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a subatomic particle or family of particles with the specified name. \nRowBox[{\"ParticleData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for a version of the particle with charge StyleBox[\"q\", \"TI\"].", - "Partition":"RowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] partitions StyleBox[\"list\", \"TI\"] into nonoverlapping sublists of length StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] generates sublists with offset StyleBox[\"d\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] partitions a nested list into blocks of size SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×….\nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses offset SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}]}], \"]\"}] specifies that the first element of StyleBox[\"list\", \"TI\"] should appear at position SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]] in the first sublist, and the last element of StyleBox[\"list\", \"TI\"] should appear at or after position SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]] in the last sublist. If additional elements are needed, Partition fills them in by treating StyleBox[\"list\", \"TI\"] as cyclic. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] pads if necessary by repeating the element StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] pads if necessary by cyclically repeating the elements SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", \"}\"}]}], \"]\"}] uses no padding, and so can yield sublists of different lengths. \nRowBox[{\"Partition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nlist\", \"TI\"], \",\", StyleBox[\"dlist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"klist\", \"TI\"], StyleBox[\"L\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"klist\", \"TI\"], StyleBox[\"R\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"padlist\", \"TI\"]}], \"]\"}] specifies alignments and padding in a nested list. ", - "PartitionGranularity":"PartitionGranularity is an option for audio analysis functions that specifies the partitioning of the audio.", - "PartitionsP":"RowBox[{\"PartitionsP\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number RowBox[{StyleBox[\"p\", \"TI\"], RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]}] of unrestricted partitions of the integer StyleBox[\"n\", \"TI\"]. ", - "PartitionsQ":"RowBox[{\"PartitionsQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number RowBox[{StyleBox[\"q\", \"TI\"], RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]}] of partitions of the integer StyleBox[\"n\", \"TI\"] into distinct parts. ", - "PartLayer":"RowBox[{\"PartLayer\", \"[\", StyleBox[\"i\", \"TI\"], \"]\"}] represents a net layer that gives the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] part of the input.\nRowBox[{\"PartLayer\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives parts StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"].\nRowBox[{\"PartLayer\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes part SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in the input.", - "PartOfSpeech":"RowBox[{\"PartOfSpeech\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns the possible parts of speech for the specified word.", - "PartProtection":"PartProtection is an option for cloud expressions that controls which parts of their structure can be changed.", - "ParzenWindow":"RowBox[{\"ParzenWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Parzen window function of StyleBox[\"x\", \"TI\"].", - "PascalDistribution":"RowBox[{\"PascalDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a Pascal distribution with parameters StyleBox[\"n\", \"TI\"] and StyleBox[\"p\", \"TI\"].", - "PassEventsDown":"PassEventsDown is an option to EventHandler which specifies whether events handled by a particular event handler should be passed down to event handlers nested inside.", - "PassEventsUp":"PassEventsUp is an option to EventHandler that specifies whether events handled by a particular event handler should be passed up to event handlers in outer expressions.", - "Paste":"RowBox[{\"Paste\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] pastes StyleBox[\"expr\", \"TI\"] at the current insertion point in the input notebook. \nRowBox[{\"Paste\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] pastes StyleBox[\"expr\", \"TI\"] to the specified notebook.\nRowBox[{\"Paste\", \"[\", \"]\"}] pastes the contents of the system clipboard in the input notebook. ", - "PasteBoxFormInlineCells":"PasteBoxFormInlineCells is an option for cells that specifies whether a new inline cell is created when a typeset expression is pasted into a non-box-type cell.", - "PasteButton":"RowBox[{\"PasteButton\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents a button that pastes StyleBox[\"expr\", \"TI\"] whenever it is pressed. \nRowBox[{\"PasteButton\", \"[\", RowBox[{StyleBox[\"label\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] displays with StyleBox[\"label\", \"TI\"] on the button. ", - "Path":"Path is an option for Get and related functions which gives a list of directories to search in attempting to find an external file. ", - "PathGraph":"RowBox[{\"PathGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a path with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges between SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], StyleBox[\"+\", \"TR\"], StyleBox[\" \", \"TI\"], StyleBox[\"1\", \"TR\"], StyleBox[\" \", \"TI\"]}]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a path with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a path with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a path with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PathGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"->\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] to specify a path.", - "PathGraphQ":"RowBox[{\"PathGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a path and False otherwise.", - "Pattern":"RowBox[{StyleBox[\"s\", \"TI\"], \":\", StyleBox[\"obj\", \"TI\"]}] represents the pattern object StyleBox[\"obj\", \"TI\"], assigned the name StyleBox[\"s\", \"TI\"]. ", - "PatternSequence":"RowBox[{\"PatternSequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a pattern object that represents a sequence of arguments matching SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "PatternTest":"RowBox[{StyleBox[\"p\", \"TI\"], \"?\", StyleBox[\"test\", \"TI\"]}] is a pattern object that stands for any expression that matches StyleBox[\"p\", \"TI\"], and on which the application of StyleBox[\"test\", \"TI\"] gives True. ", - "PauliMatrix":"RowBox[{\"PauliMatrix\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] Pauli spin matrix SubscriptBox[\"σ\", StyleBox[\"k\", \"TI\"]].", - "PaulWavelet":"RowBox[{\"PaulWavelet\", \"[\", \"]\"}] represents a Paul wavelet of order 4.\nRowBox[{\"PaulWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a Paul wavelet of order StyleBox[\"n\", \"TI\"].", - "Pause":"RowBox[{\"Pause\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] pauses for at least StyleBox[\"n\", \"TI\"] seconds. ", - "PDF":"RowBox[{\"PDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the probability density function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"PDF\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate probability density function for a distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"PDF\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the PDF as a pure function.", - "PeakDetect":"RowBox[{\"PeakDetect\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives a binary list in which 1s correspond to peak positions in StyleBox[\"data\", \"TI\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] detects peaks that survive Gaussian blurring up to scale StyleBox[\"σ\", \"TR\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] detects peaks with minimum sharpness StyleBox[\"s\", \"TI\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] detects only peaks with values greater than StyleBox[\"t\", \"TI\"].\nRowBox[{\"PeakDetect\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"s\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"t\", \"TI\"]]}], \"}\"}]}], \"]\"}] uses different scales for thresholding sharpness and value.", - "PeanoCurve":"RowBox[{\"PeanoCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Peano curve.", - "PearsonChiSquareTest":"RowBox[{\"PearsonChiSquareTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Pearson SuperscriptBox[\"χ\", \"2\"] test.\nRowBox[{\"PearsonChiSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Pearson SuperscriptBox[\"χ\", \"2\"] test.\nRowBox[{\"PearsonChiSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "PearsonCorrelationTest":"RowBox[{\"PearsonCorrelationTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are linearly independent.\nRowBox[{\"PearsonCorrelationTest\", \"[\", RowBox[{\"…\", \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "PearsonDistribution":"RowBox[{\"PearsonDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a distribution of the Pearson family with parameters SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"PearsonDistribution\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a Pearson distribution of given StyleBox[\"type\", \"TI\"]. ", - "PerfectNumber":"RowBox[{\"PerfectNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] perfect number.", - "PerfectNumberQ":"RowBox[{\"PerfectNumberQ\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] returns True if StyleBox[\"n\", \"TI\"] is a perfect integer, and False otherwise.", - "PerformanceGoal":"PerformanceGoal is an option for various algorithmic and presentational functions that specifies what aspect of performance to try to optimize with Automatic settings for options.", - "Perimeter":"RowBox[{\"Perimeter\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the perimeter of the two-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Perimeter\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the perimeter of the parametrized region whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"s\", \"TI\"] and StyleBox[\"t\", \"TI\"].\nRowBox[{\"Perimeter\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", - "PeriodicBoundaryCondition":"RowBox[{\"PeriodicBoundaryCondition\", \"[\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"pred\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a periodic boundary condition RowBox[{RowBox[{\"u\", \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \"=\", RowBox[{\"u\", \"(\", RowBox[{StyleBox[\"f\", FontSlant -> \"Italic\"], \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \")\"}]}] for all SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"target\", \"TI\"]] on the boundary of the region given to NDSolve where StyleBox[\"pred\", \"TI\"] is True.\nRowBox[{\"PeriodicBoundaryCondition\", \"[\", RowBox[{RowBox[{StyleBox[\"a\", \"TI\"], \"+\", RowBox[{StyleBox[\"b\", \"TI\"], \" \", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}]}], \",\", StyleBox[\"pred\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents a generalized periodic boundary condition RowBox[{RowBox[{\"u\", \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \"=\", RowBox[{\"a\", \"+\", RowBox[{\"b\", \" \", RowBox[{\"u\", \"(\", RowBox[{StyleBox[\"f\", FontSlant -> \"Italic\"], \"(\", SubscriptBox[\"x\", StyleBox[\"target\", FontSlant -> \"Italic\"]], \")\"}], \")\"}]}]}]}].", - "Periodogram":"RowBox[{\"Periodogram\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] plots the squared magnitude of the discrete Fourier transform (power spectrum) of StyleBox[\"list\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] plots the mean of power spectra of non-overlapping partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"Periodogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] plots power spectra of several lists.\nRowBox[{\"Periodogram\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the power spectrum of StyleBox[\"audio\", \"TI\"].\nRowBox[{\"Periodogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the power spectra of all SubscriptBox[StyleBox[\"audio\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "PeriodogramArray":"RowBox[{\"PeriodogramArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] returns the squared magnitude of the discrete Fourier transform (power spectrum) of StyleBox[\"list\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] averages the power spectra of non-overlapping partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns the squared power spectrum of StyleBox[\"image\", \"TI\"].\nRowBox[{\"PeriodogramArray\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns the squared power spectrum of StyleBox[\"audio\", \"TI\"].", - "Permanent":"RowBox[{\"Permanent\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the permanent of the square matrix StyleBox[\"m\", \"TI\"]. ", - "Permissions":"Permissions is an option for CloudObject and related constructs that specifies permissions for classes of users to access or perform operations.", - "PermissionsGroup":"RowBox[{\"PermissionsGroup\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a permissions group with the specified name, owned by the current user.\nRowBox[{\"PermissionsGroup\", \"[\", RowBox[{StyleBox[\"user\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a permissions group owned by the specified user.", - "PermissionsGroups":"RowBox[{\"PermissionsGroups\", \"[\", \"]\"}] gives a list of permissions groups that the current user can use.", - "PermissionsKey":"RowBox[{\"PermissionsKey\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"key\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a permissions key that can be used to authorize access to cloud resources.", - "PermissionsKeys":"RowBox[{\"PermissionsKeys\", \"[\", \"]\"}] gives a list of all valid permissions keys created by the currently authenticated user.", - "PermutationCycles":"RowBox[{\"PermutationCycles\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] gives a disjoint cycle representation of permutation StyleBox[\"perm\", \"TI\"].", - "PermutationCyclesQ":"RowBox[{\"PermutationCyclesQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a permutation in disjoint cyclic form, and False otherwise.", - "PermutationGroup":"RowBox[{\"PermutationGroup\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the group generated by multiplication of the permutations RowBox[{SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"perm\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", - "PermutationLength":"RowBox[{\"PermutationLength\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the number of integers moved by the permutation StyleBox[\"perm\", \"TI\"].", - "PermutationList":"RowBox[{\"PermutationList\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns a permutation list representation of permutation StyleBox[\"perm\", \"TI\"].\nRowBox[{\"PermutationList\", \"[\", RowBox[{StyleBox[\"perm\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] returns a permutation list of length StyleBox[\"len\", \"TI\"].", - "PermutationListQ":"RowBox[{\"PermutationListQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns True if StyleBox[\"expr\", \"TI\"] is a valid permutation list and False otherwise.", - "PermutationMax":"RowBox[{\"PermutationMax\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the largest integer moved by the permutation StyleBox[\"perm\", \"TI\"].", - "PermutationMin":"RowBox[{\"PermutationMin\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the smallest integer moved by the permutation StyleBox[\"perm\", \"TI\"].", - "PermutationOrder":"RowBox[{\"PermutationOrder\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] gives the order of permutation StyleBox[\"perm\", \"TI\"].", - "PermutationPower":"RowBox[{\"PermutationPower\", \"[\", RowBox[{StyleBox[\"perm\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] permutation power of the permutation StyleBox[\"perm\", \"TI\"].", - "PermutationProduct":"RowBox[{\"PermutationProduct\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the product of permutations StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"], StyleBox[\"c\", \"TI\"].", - "PermutationReplace":"RowBox[{\"PermutationReplace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"perm\", \"TI\"]}], \"]\"}] replaces each part in StyleBox[\"expr\", \"TI\"] by its image under the permutation StyleBox[\"perm\", \"TI\"].\nRowBox[{\"PermutationReplace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"gr\", \"TI\"]}], \"]\"}] returns the list of images of StyleBox[\"expr\", \"TI\"] under all elements of the permutation group StyleBox[\"gr\", \"TI\"].", - "Permutations":"RowBox[{\"Permutations\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] generates a list of all possible permutations of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Permutations\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives all permutations containing at most StyleBox[\"n\", \"TI\"] elements.\nRowBox[{\"Permutations\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives all permutations containing exactly StyleBox[\"n\", \"TI\"] elements.", - "PermutationSupport":"RowBox[{\"PermutationSupport\", \"[\", StyleBox[\"perm\", \"TI\"], \"]\"}] returns the support of the permutation StyleBox[\"perm\", \"TI\"].", - "Permute":"RowBox[{\"Permute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"perm\", \"TI\"]}], \"]\"}] permutes the positions of the elements of StyleBox[\"expr\", \"TI\"] according to the permutation StyleBox[\"perm\", \"TI\"].\nRowBox[{\"Permute\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"gr\", \"TI\"]}], \"]\"}] returns the list of permuted forms of StyleBox[\"expr\", \"TI\"] under the elements of the permutation group StyleBox[\"gr\", \"TI\"].", - "PeronaMalikFilter":"RowBox[{\"PeronaMalikFilter\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] applies a Perona–Malik diffusion filter to StyleBox[\"image\", \"TI\"].\nRowBox[{\"PeronaMalikFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] specifies the amount of diffusion time StyleBox[\"t\", \"TI\"] to be applied. \nRowBox[{\"PeronaMalikFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] uses a conductance parameter StyleBox[\"k\", \"TI\"].\nRowBox[{\"PeronaMalikFilter\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] applies a Gaussian regularization of width StyleBox[\"σ\", \"TR\"] to the image gradient in the conductance function.", - "PersistenceLocation":"RowBox[{\"PersistenceLocation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a persistence location of the given type.\nRowBox[{\"PersistenceLocation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] includes the base address for a location type that allows multiple locations.", - "PersistenceTime":"PersistenceTime is an option for various functions that specifies when a persistent value should be treated as expired.", - "PersistentObject":"RowBox[{\"PersistentObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] represents a persistent object stored at persistence location StyleBox[\"loc\", \"TI\"].", - "PersistentObjects":"RowBox[{\"PersistentObjects\", \"[\", \"]\"}] gives all persistent objects in all locations in $PersistencePath.\nRowBox[{\"PersistentObjects\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] gives all persistent objects whose names match the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"PersistentObjects\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] gives all matching persistent objects in persistence location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"PersistentObjects\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives all matching persistent objects in all the SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "PersistentValue":"RowBox[{\"PersistentValue\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the persistent value associated with the key \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"PersistentValue\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"loc\", \"TI\"]}], \"]\"}] represents the persistent value associated with StyleBox[\"name\", \"TI\"] stored in persistence location StyleBox[\"loc\", \"TI\"]. \nRowBox[{\"PersistentValue\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the persistent value associated with StyleBox[\"name\", \"TI\"] at the first of the locations SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"i\", \"TI\"]] at which it occurs.", - "PersonData":"RowBox[{\"PersonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the person StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PersonData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified person entities.\nRowBox[{\"PersonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "PERTDistribution":"RowBox[{\"PERTDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a PERT distribution with range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"] and mode at StyleBox[\"c\", \"TI\"].\nRowBox[{\"PERTDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a modified PERT distribution with shape parameter StyleBox[\"λ\", \"TR\"].", - "PetersenGraph":"RowBox[{\"PetersenGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the generalized Petersen graph SubscriptBox[\"P\", RowBox[{\"n\", \",\", \" \", \"k\"}]].", - "PhaseMargins":"RowBox[{\"PhaseMargins\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the phase margins of the linear time-invariant system StyleBox[\"lsys\", \"TI\"].", - "PhaseRange":"PhaseRange is an option to BodePlot and NicholsPlot that specifies the phase range.", - "PhysicalSystemData":"RowBox[{\"PhysicalSystemData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the physical system StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PhysicalSystemData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified physical system entities.\nRowBox[{\"PhysicalSystemData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Pi":"Pi is π, with numerical value RowBox[{\"≃\", \"3.14159\"}]. ", - "Pick":"RowBox[{\"Pick\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] picks out those elements of StyleBox[\"list\", \"TI\"] for which the corresponding element of StyleBox[\"sel\", \"TI\"] is True. \nRowBox[{\"Pick\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] picks out those elements of StyleBox[\"list\", \"TI\"] for which the corresponding element of StyleBox[\"sel\", \"TI\"] matches StyleBox[\"patt\", \"TI\"]. ", - "PIDData":"RowBox[{\"PIDData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents PID data generated by PIDTune function.", - "PIDDerivativeFilter":"PIDDerivativeFilter is an option to PIDTune that controls the filtering used for derivative terms.", - "PIDFeedforward":"PIDFeedforward is an option to PIDTune that controls the reference weights used for the feedforward filter. ", - "PIDTune":"RowBox[{\"PIDTune\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives a feedback PID controller for the linear time-invariant system StyleBox[\"lsys\", \"TI\"]. \nRowBox[{\"PIDTune\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"carch\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a controller of architecture \"\nStyleBox[\"carch\", \"TI\"]\" (\"P\", \"PI\", \"PID\", etc). \nRowBox[{\"PIDTune\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"carch\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"trule\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] gives a controller using the tuning rule \"\nStyleBox[\"trule\", \"TI\"]\". \nRowBox[{\"PIDTune\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value for the property \"\nStyleBox[\"prop\", \"TI\"]\". ", - "Piecewise":"RowBox[{\"Piecewise\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a piecewise function with values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the regions defined by the conditions SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Piecewise\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] uses default value StyleBox[\"val\", \"TI\"] if none of the SubscriptBox[StyleBox[\"cond\", \"TI\"], StyleBox[\"i\", \"TI\"]] apply. The default for StyleBox[\"val\", \"TI\"] is 0. ", - "PiecewiseExpand":"RowBox[{\"PiecewiseExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands nested piecewise functions in StyleBox[\"expr\", \"TI\"] to give a single piecewise function. \nRowBox[{\"PiecewiseExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] expands piecewise functions using assumptions. \nRowBox[{\"PiecewiseExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] does the expansion over the domain StyleBox[\"dom\", \"TI\"]. ", - "PieChart":"RowBox[{\"PieChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a pie chart with sector angle proportional to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"PieChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a pie chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PieChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a pie chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "PieChart3D":"RowBox[{\"PieChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D pie chart with sector angle proportional to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"PieChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D pie chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PieChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D pie chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "PillaiTrace":"RowBox[{\"PillaiTrace\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Pillai's trace for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "PillaiTraceTest":"RowBox[{\"PillaiTraceTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"PillaiTraceTest\", \"[\", RowBox[{\"…\", \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "PingTime":"RowBox[{\"PingTime\", \"[\", StyleBox[\"host\", \"TI\"], \"]\"}] gives the round-trip ping time for the specified network host.\nRowBox[{\"PingTime\", \"[\", RowBox[{StyleBox[\"host\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of times for StyleBox[\"n\", \"TI\"] successive pings.", - "Pink":"Pink represents the color pink in graphics or style specifications. ", - "Pivoting":"Pivoting is an option to certain matrix decomposition functions. With RowBox[{\"Pivoting\", \" \", \"->\", \" \", \"False\"}], no pivoting is done. With RowBox[{\"Pivoting\", \" \", \"->\", \" \", \"True\"}], column pivoting is carried out and the list of matrices returned is augmented by the appropriate permutation matrix.", - "PixelConstrained":"PixelConstrained is an option for ArrayPlot that specifies how to constrain cells to align with displayed pixels.", - "PixelValue":"RowBox[{\"PixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ppos\", \"TI\"]}], \"]\"}] gives the pixel value of StyleBox[\"image\", \"TI\"] at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"PixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ppos\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the pixel value converted to the specified type.", - "PixelValuePositions":"RowBox[{\"PixelValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] returns a list of pixel positions in StyleBox[\"image\", \"TI\"] that match the value StyleBox[\"val\", \"TI\"].\nRowBox[{\"PixelValuePositions\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] returns all pixel positions that have values within a distance StyleBox[\"d\", \"TI\"] from StyleBox[\"val\", \"TI\"].", - "Placed":"RowBox[{\"Placed\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] represents an expression StyleBox[\"expr\", \"TI\"] placed at relative position StyleBox[\"pos\", \"TI\"] in a chart or other display. \nRowBox[{\"Placed\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places each of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] at a relative position specified by StyleBox[\"pos\", \"TI\"].\nRowBox[{\"Placed\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"pos\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to each of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] before displaying it.", - "Placeholder":"RowBox[{\"Placeholder\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] represents a placeholder labeled with StyleBox[\"name\", \"TI\"] that indicates a place to type.\nRowBox[{\"Placeholder\", \"[\", \"]\"}] gives the empty placeholder .", - "PlaceholderReplace":"PlaceholderReplace is an option to Paste that determines whether to replace a selection placeholder with the selected contents.", - "Plain":"Plain represents a font that is not bold, italic, or underlined.", - "PlanarGraph":"RowBox[{\"PlanarGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a planar graph with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PlanarGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a planar graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"PlanarGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a planar graph with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"PlanarGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] to specify a planar graph.", - "PlanarGraphQ":"RowBox[{\"PlanarGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if StyleBox[\"g\", \"TI\"] is a planar graph and False otherwise.", - "PlanckRadiationLaw":"RowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] returns the spectral radiance for the specified temperature and wavelength StyleBox[\"λ\", \"TR\"].\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns the spectral radiance for the specified temperature and frequency StyleBox[\"f\", \"TI\"].\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property for the specified temperature.\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns the integrated result of the spectral radiance over the wavelength range SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"PlanckRadiationLaw\", \"[\", RowBox[{StyleBox[\"temperature\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns the integrated result of the spectral radiance over the frequency range SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "PlaneCurveData":"RowBox[{\"PlaneCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the plane curve StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlaneCurveData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified plane curve entities.\nRowBox[{\"PlaneCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "PlanetaryMoonData":"RowBox[{\"PlanetaryMoonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the planetary moon StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlanetaryMoonData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified moon entities.\nRowBox[{\"PlanetaryMoonData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", - "PlanetData":"RowBox[{\"PlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the planet StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlanetData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified planet entities.\nRowBox[{\"PlanetData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", - "PlantData":"RowBox[{\"PlantData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the plant StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PlantData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified plant entities.\nRowBox[{\"PlantData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", - "Play":"RowBox[{\"Play\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] creates an object that plays as a sound whose amplitude is given by StyleBox[\"f\", \"TI\"] as a function of time StyleBox[\"t\", \"TI\"] in seconds between SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]. ", - "PlayRange":"PlayRange is an option for Play and related functions which specifies what range of sound amplitude levels should be included. ", - "Plot":"RowBox[{\"Plot\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] from SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Plot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Plot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].\nRowBox[{\"Plot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", StyleBox[\"x\", \"TI\"], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variable StyleBox[\"x\", \"TI\"] to be in the geometric region StyleBox[\"reg\", \"TI\"].", - "Plot3D":"RowBox[{\"Plot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a three-dimensional plot of StyleBox[\"f\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"Plot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several functions. \nRowBox[{\"Plot3D\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", - "PlotDivision":"PlotDivision is an option for Plot that specifies the maximum amount of subdivision to be used.", - "PlotJoined":"PlotJoined is an option for ListPlot that specifies whether the points plotted should be joined by a line. ", - "PlotLabel":"PlotLabel is an option for graphics functions that specifies an overall label for a plot. ", - "PlotLabels":"PlotLabels is an option for visualization functions that specifies what labels to use for each data source.", - "PlotLayout":"PlotLayout is an option for plotting functions that specifies the layout of multiple components in a plot.", - "PlotLegends":"PlotLegends is an option for plot functions that specifies what legends to use. ", - "PlotMarkers":"PlotMarkers is an option for graphics functions like ListPlot and ListLinePlot that specifies what markers to draw at the points plotted. ", - "PlotPoints":"PlotPoints is an option for plotting functions that specifies how many initial sample points to use. ", - "PlotRange":"PlotRange is an option for graphics functions that specifies what range of coordinates to include in a plot. ", - "PlotRangeClipping":"PlotRangeClipping is an option for graphics functions that specifies whether graphics objects should be clipped at the edge of the region defined by PlotRange, or should be allowed to extend to the actual edge of the image. ", - "PlotRangePadding":"PlotRangePadding is an option for graphics functions that specifies how much further axes etc. should extend beyond the range of coordinates specified by PlotRange. ", - "PlotRegion":"PlotRegion is an option for graphics functions that specifies what region of the final display area a plot should fill. ", - "PlotStyle":"PlotStyle is an option for plotting and related functions that specifies styles in which objects are to be drawn. ", - "PlotTheme":"PlotTheme is an option for plotting and related functions that specifies an overall theme for visualization elements and styles. ", - "Pluralize":"RowBox[{\"Pluralize\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"noun\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the plural form of the English word \"noun\".\nRowBox[{\"Pluralize\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"noun\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the inflected form of \"\nStyleBox[\"noun\", \"TI\"]\" for StyleBox[\"n\", \"TI\"] instances. \nRowBox[{\"Pluralize\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"singular\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"plural\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] inflects using the specified forms.\nRowBox[{\"Pluralize\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] uses the length of StyleBox[\"list\", \"TI\"] to determine the inflection to use. ", - "Plus":"RowBox[{StyleBox[\"x\", \"TI\"], \"+\", StyleBox[\"y\", \"TI\"], \"+\", StyleBox[\"z\", \"TI\"]}] represents a sum of terms. ", - "PlusMinus":"RowBox[{\"PlusMinus\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"±\", StyleBox[\"x\", \"TI\"]}].\nRowBox[{\"PlusMinus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"±\", StyleBox[\"y\", \"TI\"]}], \"±\", StyleBox[\"…\", \"TR\"]}].", - "Pochhammer":"RowBox[{\"Pochhammer\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the Pochhammer symbol SubscriptBox[RowBox[{\"(\", StyleBox[\"a\", \"TI\"], \")\"}], StyleBox[\"n\", \"TI\"]]. ", - "PodStates":"PodStates is an option for WolframAlpha that determines information about the states of the pods.", - "PodWidth":"PodWidth is an option for WolframAlpha that determines the width parameters of the content returned by the Wolfram|Alpha API.", - "Point":"RowBox[{\"Point\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a graphics and geometry primitive that represents a point at StyleBox[\"p\", \"TI\"]. \nRowBox[{\"Point\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of points. ", - "Point3DBoxOptions":"RowBox[{Point3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Point3DBox objects.", - "PointBoxOptions":"RowBox[{PointBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PointBox objects.", - "PointFigureChart":"RowBox[{\"PointFigureChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a point and figure chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PointFigureChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a point and figure chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"PointFigureChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes a point and figure chart with point and figure height StyleBox[\"s\", \"TI\"] and StyleBox[\"n\", \"TI\"] reversals.", - "PointLegend":"RowBox[{\"PointLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a legend that associates points of colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PointLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"Automatic\"}], \"]\"}] generates a legend with placeholder labels for the colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PointLegend\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a legend with inherited colors within visualization functions.", - "PointSize":"RowBox[{\"PointSize\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] is a graphics directive which specifies that points which follow are to be shown if possible as circular regions with diameter StyleBox[\"d\", \"TI\"]. The diameter StyleBox[\"d\", \"TI\"] is given as a fraction of the total width of the plot. ", - "PoissonConsulDistribution":"RowBox[{\"PoissonConsulDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"λ\", \"TR\"]}], \"]\"}] represents a Poisson–Consul distribution with parameters StyleBox[\"μ\", \"TR\"] and StyleBox[\"λ\", \"TR\"].", - "PoissonDistribution":"RowBox[{\"PoissonDistribution\", \"[\", StyleBox[\"μ\", \"TR\"], \"]\"}] represents a Poisson distribution with mean StyleBox[\"μ\", \"TR\"].", - "PoissonProcess":"RowBox[{\"PoissonProcess\", \"[\", StyleBox[\"μ\", \"TR\"], \"]\"}] represents a Poisson process with rate StyleBox[\"μ\", \"TR\"].", - "PoissonWindow":"RowBox[{\"PoissonWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Poisson window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"PoissonWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "PolarAxes":"PolarAxes is an option for sector charts and polar plots that specifies whether polar axes should be drawn.", - "PolarAxesOrigin":"PolarAxesOrigin is an option for sector charts and polar plots that specifies where polar axes should be drawn.", - "PolarGridLines":"PolarGridLines is an option for sector charts and polar plots that specifies polar grid lines.", - "PolarPlot":"RowBox[{\"PolarPlot\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a polar plot of a curve with radius StyleBox[\"r\", \"TI\"] as a function of angle StyleBox[\"θ\", \"TR\"].\nRowBox[{\"PolarPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a polar plot of curves with radius functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "PolarTicks":"PolarTicks is an option for sector charts and polar plots that specifies tick marks for polar axes.", - "PoleZeroMarkers":"PoleZeroMarkers is an option for RootLocusPlot that specifies the markers to be drawn on the complex plane at the open-loop poles, closed-loop poles, and open-loop zeros.", - "PolyaAeppliDistribution":"RowBox[{\"PolyaAeppliDistribution\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a Pólya–Aeppli distribution with shape parameters StyleBox[\"θ\", \"TR\"] and StyleBox[\"p\", \"TI\"]. ", - "PolyGamma":"RowBox[{\"PolyGamma\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the digamma function RowBox[{\"ψ\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. \nRowBox[{\"PolyGamma\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] derivative of the digamma function RowBox[{SuperscriptBox[\"ψ\", RowBox[{\"(\", StyleBox[\"n\", \"TI\"], \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "Polygon":"RowBox[{\"Polygon\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents a filled polygon with points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Polygon\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of polygons. ", - "Polygon3DBoxOptions":"RowBox[{Polygon3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Polygon3DBox objects.", - "PolygonalNumber":"RowBox[{\"PolygonalNumber\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] triangular number SubscriptBox[\"T\", \"n\"].\nRowBox[{\"PolygonalNumber\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] StyleBox[\"r\", \"TI\"]-gonal number SubsuperscriptBox[\"P\", \"n\", RowBox[{\" \", \"r\"}]].", - "PolygonBoxOptions":"RowBox[{PolygonBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PolygonBox objects.", - "PolygonIntersections":"PolygonIntersections is an option for Graphics3D which specifies whether intersecting polygons should be left unchanged. ", - "PolyhedronData":"RowBox[{\"PolyhedronData\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the polyhedron named StyleBox[\"poly\", \"TI\"].\nRowBox[{\"PolyhedronData\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives an image of the polyhedron named StyleBox[\"poly\", \"TI\"].\nRowBox[{\"PolyhedronData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"class\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the polyhedra in the specified class.", - "PolyLog":"RowBox[{\"PolyLog\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the polylogarithm function RowBox[{SubscriptBox[\"Li\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"PolyLog\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Nielsen generalized polylogarithm function RowBox[{SubscriptBox[StyleBox[\"S\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "PolynomialExtendedGCD":"RowBox[{\"PolynomialExtendedGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the extended GCD of SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] treated as univariate polynomials in StyleBox[\"x\", \"TI\"].\nRowBox[{\"PolynomialExtendedGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] gives the extended GCD over the integers mod prime StyleBox[\"p\", \"TI\"].", - "PolynomialGCD":"RowBox[{\"PolynomialGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the greatest common divisor of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PolynomialGCD\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] evaluates the GCD modulo the prime StyleBox[\"p\", \"TI\"]. ", - "PolynomialLCM":"RowBox[{\"PolynomialLCM\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the least common multiple of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PolynomialLCM\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] evaluates the LCM modulo the prime StyleBox[\"p\", \"TI\"]. ", - "PolynomialMod":"RowBox[{\"PolynomialMod\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the polynomial StyleBox[\"poly\", \"TI\"] reduced modulo StyleBox[\"m\", \"TI\"]. \nRowBox[{\"PolynomialMod\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reduces modulo all of the SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "PolynomialQ":"RowBox[{\"PolynomialQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a polynomial in StyleBox[\"var\", \"TI\"], and yields False otherwise. \nRowBox[{\"PolynomialQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether StyleBox[\"expr\", \"TI\"] is a polynomial in the SubscriptBox[StyleBox[\"var\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "PolynomialQuotient":"RowBox[{\"PolynomialQuotient\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the quotient of StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"], treated as polynomials in StyleBox[\"x\", \"TI\"], with any remainder dropped. ", - "PolynomialQuotientRemainder":"RowBox[{\"PolynomialQuotientRemainder\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a list of the quotient and remainder of StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"], treated as polynomials in StyleBox[\"x\", \"TI\"]. ", - "PolynomialReduce":"RowBox[{\"PolynomialReduce\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a list representing a reduction of StyleBox[\"poly\", \"TI\"] in terms of the SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]]. The list has the form RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], where StyleBox[\"b\", \"TI\"] is minimal and RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"+\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \" \", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"+\", StyleBox[\"…\", \"TR\"], \"+\", StyleBox[\"b\", \"TI\"]}] is exactly StyleBox[\"poly\", \"TI\"]. ", - "PolynomialRemainder":"RowBox[{\"PolynomialRemainder\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the remainder from dividing StyleBox[\"p\", \"TI\"] by StyleBox[\"q\", \"TI\"], treated as polynomials in StyleBox[\"x\", \"TI\"]. ", - "PoolingLayer":"RowBox[{\"PoolingLayer\", \"[\", StyleBox[\"sz\", \"TI\"], \"]\"}] represents a pooling net layer using kernels of size StyleBox[\"sz\", \"TI\"].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{\"{\", StyleBox[\"w\", \"TI\"], \"}\"}], \"]\"}] represents a layer performing one-dimensional pooling with kernels of size StyleBox[\"w\", \"TI\"].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] represents a layer performing two-dimensional pooling with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}] represents a layer performing three-dimensional pooling with kernels of size RowBox[{StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"], \"×\", StyleBox[\"d\", \"TI\"]}].\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{StyleBox[\"kernel\", \"TI\"], \",\", StyleBox[\"stride\", \"TI\"]}], \"]\"}] represents a layer that uses StyleBox[\"stride\", \"TI\"] as the step size between kernel applications.\nRowBox[{\"PoolingLayer\", \"[\", RowBox[{StyleBox[\"kernel\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] includes options for other pooling methods, padding and other parameters.", - "PopupMenu":"RowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a popup menu with setting StyleBox[\"x\", \"TI\"] and possible values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset every time an item is selected from the menu. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a popup menu in which possible value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] is indicated by SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dlbl\", \"TI\"]}], \"]\"}] displays the menu item as StyleBox[\"dlbl\", \"TI\"] if StyleBox[\"x\", \"TI\"] is none of the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"PopupMenu\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"dlbl\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] displays as StyleBox[\"base\", \"TI\"] when it is not being clicked. ", - "PopupMenuBoxOptions":"RowBox[{PopupMenuBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for PopupMenuBox objects.", - "PopupView":"RowBox[{\"PopupView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object which displays as a popup menu whose items are the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"PopupView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] entry be the one currently chosen.\nRowBox[{\"PopupView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] displays as StyleBox[\"base\", \"TI\"] if it is not being clicked.", - "PopupWindow":"RowBox[{\"PopupWindow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"contents\", \"TI\"]}], \"]\"}] displays as StyleBox[\"expr\", \"TI\"], but pops up a window containing StyleBox[\"contents\", \"TI\"] when clicked.", - "Position":"RowBox[{\"Position\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] gives a list of the positions at which objects matching StyleBox[\"pattern\", \"TI\"] appear in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Position\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] finds only objects that appear on levels specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Position\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions of the first StyleBox[\"n\", \"TI\"] objects found. \nRowBox[{\"Position\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] represents an operator form of Position that can be applied to an expression.", - "PositionIndex":"RowBox[{\"PositionIndex\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives an association between unique elements in StyleBox[\"list\", \"TI\"] and the positions at which they occur.\nRowBox[{\"PositionIndex\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives an association whose keys are the distinct values in StyleBox[\"assoc\", \"TI\"], and whose values are lists of the keys with which they are associated.", - "Positive":"RowBox[{\"Positive\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a positive number. ", - "PositiveDefiniteMatrixQ":"RowBox[{\"PositiveDefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly positive definite, and False otherwise. ", - "PositiveSemidefiniteMatrixQ":"RowBox[{\"PositiveSemidefiniteMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly positive semidefinite, and False otherwise. ", - "PossibleZeroQ":"RowBox[{\"PossibleZeroQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if basic symbolic and numerical methods suggest that StyleBox[\"expr\", \"TI\"] has value zero, and gives False otherwise. ", - "Postfix":"RowBox[{\"Postfix\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \"]\"}] prints with RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] given in default postfix form: RowBox[{StyleBox[\"expr\", \"TI\"], \"\/\/\", StyleBox[\"f\", \"TI\"]}]. \nRowBox[{\"Postfix\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] prints as StyleBox[\"exprh\", \"TI\"]. ", - "Power":"RowBox[{StyleBox[\"x\", \"TI\"], \"^\", StyleBox[\"y\", \"TI\"]}] gives StyleBox[\"x\", \"TI\"] to the power StyleBox[\"y\", \"TI\"].", - "PowerDistribution":"RowBox[{\"PowerDistribution\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] represents a power distribution with domain parameter StyleBox[\"k\", \"TI\"] and shape parameter StyleBox[\"a\", \"TI\"].", - "PowerExpand":"RowBox[{\"PowerExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands all powers of products and powers. \nRowBox[{\"PowerExpand\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] expands only with respect to the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "PowerMod":"RowBox[{\"PowerMod\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives RowBox[{SuperscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"]], \" \", \"mod\", \" \", StyleBox[\"m\", \"TI\"]}]. \nRowBox[{\"PowerMod\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"-\", \"1\"}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds the modular inverse of StyleBox[\"a\", \"TI\"] modulo StyleBox[\"m\", \"TI\"].\nRowBox[{\"PowerMod\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"1\", \"\/\", StyleBox[\"r\", \"TI\"]}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] finds a modular StyleBox[\"r\", \"TI\"]SuperscriptBox[\"\", \"th\"] root of StyleBox[\"a\", \"TI\"].", - "PowerModList":"RowBox[{\"PowerModList\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{StyleBox[\"s\", \"TI\"], \"\/\", StyleBox[\"r\", \"TI\"]}], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives a list of all StyleBox[\"x\", \"TI\"] modulo StyleBox[\"m\", \"TI\"] for which RowBox[{SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"r\", \"TI\"]], \"≡\", SuperscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"s\", \"TI\"]]}] mod StyleBox[\"m\", \"TI\"].", - "PowerRange":"RowBox[{\"PowerRange\", \"[\", StyleBox[\"b\", \"TI\"], \"]\"}] generates the list RowBox[{\"{\", RowBox[{\"1\", \",\", \"10\", \",\", \"100\", \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], where StyleBox[\"max\", \"TI\"] is the largest power of 10 that does not exceed StyleBox[\"b\", \"TI\"].\nRowBox[{\"PowerRange\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] generates the list RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", RowBox[{\"10\", StyleBox[\"a\", \"TI\"]}], \",\", RowBox[{\"100\", StyleBox[\"a\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], with successive elements increasing by factors of 10. \nRowBox[{\"PowerRange\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] uses factors of StyleBox[\"r\", \"TI\"] instead of 10.", - "PowerSpectralDensity":"RowBox[{\"PowerSpectralDensity\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] estimates the power spectral density for StyleBox[\"data\", \"TI\"].\nRowBox[{\"PowerSpectralDensity\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"], \",\", StyleBox[\"sspec\", \"TI\"]}], \"]\"}] estimates the power spectral density for StyleBox[\"data\", \"TI\"] with smoothing specification StyleBox[\"sspec\", \"TI\"].\nRowBox[{\"PowerSpectralDensity\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"ω\", \"TR\"]}], \"]\"}] represents the power spectral density of a time series process StyleBox[\"tproc\", \"TI\"].", - "PowersRepresentations":"RowBox[{\"PowersRepresentations\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the distinct representations of the integer StyleBox[\"n\", \"TI\"] as a sum of StyleBox[\"k\", \"TI\"] non-negative StyleBox[\"p\", \"TI\"]SuperscriptBox[\"\", \"th\"] integer powers.", - "PowerSymmetricPolynomial":"RowBox[{\"PowerSymmetricPolynomial\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents a formal power symmetric polynomial with exponent StyleBox[\"r\", \"TI\"].\nRowBox[{\"PowerSymmetricPolynomial\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate formal power symmetric polynomial with exponents SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].\nRowBox[{\"PowerSymmetricPolynomial\", \"[\", StyleBox[RowBox[{\"rspec\", \",\", \"data\"}], \"TI\"], \"]\"}] gives the power symmetric polynomial in StyleBox[\"data\", \"TI\"]. ", - "Precedence":"RowBox[{\"Precedence\", \"[\", StyleBox[\"sym\", \"TI\"], \"]\"}] returns the precedence of the output operator associated to the symbol StyleBox[\"sym\", \"TI\"].\nRowBox[{\"Precedence\", \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"fmt\", \"TI\"]}], \"]\"}] returns the precedence of the operator of used in the typeset expression StyleBox[\"boxes\", \"TI\"], assuming it was typeset in the format StyleBox[\"fmt\", \"TI\"].", - "PrecedenceForm":"RowBox[{\"PrecedenceForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"prec\", \"TI\"]}], \"]\"}] prints with StyleBox[\"expr\", \"TI\"] parenthesized as it would be if it contained an operator with precedence StyleBox[\"prec\", \"TI\"]. ", - "Precedes":"RowBox[{\"Precedes\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≺\", StyleBox[\"y\", \"TI\"], \"≺\", \"…\"}].", - "PrecedesEqual":"RowBox[{\"PrecedesEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪯\", StyleBox[\"y\", \"TI\"], \"⪯\", \"…\"}].", - "PrecedesSlantEqual":"RowBox[{\"PrecedesSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≼\", StyleBox[\"y\", \"TI\"], \"≼\", \"…\"}].", - "PrecedesTilde":"RowBox[{\"PrecedesTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≾\", StyleBox[\"y\", \"TI\"], \"≾\", \"…\"}].", - "Precision":"RowBox[{\"Precision\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the effective number of digits of precision in the number StyleBox[\"x\", \"TI\"]. ", - "PrecisionGoal":"PrecisionGoal is an option for various numerical operations which specifies how many effective digits of precision should be sought in the final result. ", - "PreDecrement":"RowBox[{\"--\", StyleBox[\"x\", \"TI\"]}] decreases the value of StyleBox[\"x\", \"TI\"] by 1, returning the new value of StyleBox[\"x\", \"TI\"]. ", - "Predict":"RowBox[{\"Predict\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"PredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the example input-output pairs given.\nRowBox[{\"Predict\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates the same result.\nRowBox[{\"Predict\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] attempts to predict the output associated with StyleBox[\"input\", \"TI\"] from the training examples given.\nRowBox[{\"Predict\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] uses the built-in predictor function represented by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"Predict\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] takes an existing predictor function and modifies it with the new options given.", - "PredictorFunction":"RowBox[{\"PredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by Predict that predicts numerical values from data.", - "PredictorInformation":"RowBox[{\"PredictorInformation\", \"[\", StyleBox[\"predictor\", \"TI\"], \"]\"}] generates a report giving information on the predictor function StyleBox[\"predictor\", \"TI\"].\nRowBox[{\"PredictorInformation\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives information for StyleBox[\"predictor\", \"TI\"] associated with property StyleBox[\"prop\", \"TI\"].", - "PredictorMeasurements":"RowBox[{\"PredictorMeasurements\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives measurements associated with the property StyleBox[\"prop\", \"TI\"] when StyleBox[\"predictor\", \"TI\"] is evaluated on StyleBox[\"testset\", \"TI\"].\nRowBox[{\"PredictorMeasurements\", \"[\", RowBox[{StyleBox[\"predictor\", \"TI\"], \",\", StyleBox[\"testset\", \"TI\"]}], \"]\"}] yields a RowBox[{\"PredictorMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied to any property.", - "PredictorMeasurementsObject":"RowBox[{\"PredictorMeasurementsObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents an object generated by PredictorMeasurements that can be applied to properties.", - "PreemptProtect":"RowBox[{\"PreemptProtect\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], without any interruption from preemptive evaluations.", - "PreferencesPath":"PreferencesPath is a global option that specifies which directories are searched for user-specific settings when StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] is started.", - "Prefix":"RowBox[{\"Prefix\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \"]\"}] prints with RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] given in default prefix form: RowBox[{StyleBox[\"f\", \"TI\"], \"@\", StyleBox[\"expr\", \"TI\"]}]. \nRowBox[{\"Prefix\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] prints as StyleBox[\"hexpr\", \"TI\"]. ", - "PreIncrement":"RowBox[{\"++\", StyleBox[\"x\", \"TI\"]}] increases the value of StyleBox[\"x\", \"TI\"] by 1, returning the new value of StyleBox[\"x\", \"TI\"]. ", - "Prepend":"RowBox[{\"Prepend\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with StyleBox[\"elem\", \"TI\"] prepended. \nRowBox[{\"Prepend\", \"[\", StyleBox[\"elem\", \"TI\"], \"]\"}] represents an operator form of Prepend that can be applied to an expression.", - "PrependTo":"RowBox[{\"PrependTo\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] prepends StyleBox[\"elem\", \"TI\"] to the value of StyleBox[\"s\", \"TI\"], and resets StyleBox[\"s\", \"TI\"] to the result. ", - "PreprocessingRules":"PreprocessingRules is an option that specifies how the input should be preprocessed.", - "PreserveColor":"PreserveColor is an option for ImageRestyle and related functions that specifies whether to preserve colors in the original image.", - "PreserveImageOptions":"PreserveImageOptions is an option to graphics and related functions that specifies whether image size and certain other options should be preserved from the previous version of a graphic if the graphic is replaced by a new one in output.", - "PreviousCell":"RowBox[{\"PreviousCell\", \"[\", \"]\"}] returns the CellObject corresponding to the cell directly above the currently evaluating cell.\nRowBox[{\"PreviousCell\", \"[\", StyleBox[\"cellobj\", \"TI\"], \"]\"}] starts looking from the given cell.", - "PreviousDate":"RowBox[{\"PreviousDate\", \"[\", StyleBox[\"gran\", \"TI\"], \"]\"}] gives the previously occurring date of the specified granularity type StyleBox[\"gran\", \"TI\"].\nRowBox[{\"PreviousDate\", \"[\", RowBox[{StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"gran\", \"TI\"]}], \"]\"}] gives the previous date of the given granularity relative to the specified date.", - "PriceGraphDistribution":"RowBox[{\"PriceGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] represents a de Solla Price graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs where a new vertex with StyleBox[\"k\", \"TI\"] edges is added at each step, using attractiveness parameter StyleBox[\"a\", \"TI\"].", - "Prime":"RowBox[{\"Prime\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]RowBox[{SuperscriptBox[\"\", \"th\"], \" \"}]prime number. ", - "PrimeNu":"RowBox[{\"PrimeNu\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of distinct primes RowBox[{\"ν\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}] in StyleBox[\"n\", \"TI\"].", - "PrimeOmega":"RowBox[{\"PrimeOmega\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of prime factors counting multiplicities RowBox[{\"Ω\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}] in StyleBox[\"n\", \"TI\"].", - "PrimePi":"RowBox[{\"PrimePi\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the number of primes RowBox[{StyleBox[\"π\", \"TR\"], RowBox[{\"(\", StyleBox[\"x\", \"TI\"], \")\"}]}] less than or equal to StyleBox[\"x\", \"TI\"]. ", - "PrimePowerQ":"RowBox[{\"PrimePowerQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a power of a prime number, and yields False otherwise. ", - "PrimeQ":"RowBox[{\"PrimeQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is a prime number, and yields False otherwise. ", - "Primes":"Primes represents the domain of prime numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], \"∈\", \"Primes\"}]. ", - "PrimeZetaP":"RowBox[{\"PrimeZetaP\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives prime zeta function RowBox[{\"P\", \"(\", \"s\", \")\"}].", - "PrimitivePolynomialQ":"RowBox[{\"PrimitivePolynomialQ\", \"[\", RowBox[{StyleBox[\"poly\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"poly\", \"TI\"] is a primitive polynomial modulo a prime StyleBox[\"p\", \"TI\"].", - "PrimitiveRoot":"RowBox[{\"PrimitiveRoot\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a primitive root of StyleBox[\"n\", \"TI\"].\nRowBox[{\"PrimitiveRoot\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the smallest primitive root of StyleBox[\"n\", \"TI\"] greater than or equal to StyleBox[\"k\", \"TI\"].", - "PrimitiveRootList":"RowBox[{\"PrimitiveRootList\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a list of primitive roots of StyleBox[\"n\", \"TI\"].", - "PrincipalComponents":"RowBox[{\"PrincipalComponents\", \"[\", StyleBox[\"matrix\", \"TI\"], \"]\"}] transforms elements of StyleBox[\"matrix\", \"TI\"] into unscaled principal components.", - "PrincipalValue":"PrincipalValue is an option for Integrate that specifies whether the Cauchy principal value should be found for a definite integral. ", - "Print":"RowBox[{\"Print\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints StyleBox[\"expr\", \"TI\"] as output. ", - "PrintableASCIIQ":"RowBox[{\"PrintableASCIIQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if the string contains only printable ASCII characters, and yields False otherwise. ", - "PrintAction":"PrintAction is an option for notebooks that specifies the action taken when a RowBox[{\"Print\", \"[\", \"]\"}] command is evaluated by the kernel.", - "PrintingCopies":"PrintingCopies is an option for notebooks that specifies the number of copies of a notebook printed when a print command is given.", - "PrintingOptions":"PrintingOptions is an option that specifies settings for printing.", - "PrintingPageRange":"PrintingPageRange is an option for notebooks that specifies the range of pages of a notebook to be printed.", - "PrintingStartingPageNumber":"PrintingStartingPageNumber is an option for notebooks that specifies what number to assign to the first page of a notebook when printed.", - "PrintingStyleEnvironment":"PrintingStyleEnvironment is an option for notebooks that specifies the style environment to be used in printing the notebook on paper. ", - "Printout3D":"RowBox[{\"Printout3D\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] prints out the 3D StyleBox[\"model\", \"TI\"] using a 3D print previewer.\nRowBox[{\"Printout3D\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"service\", \"TI\"]}], \"]\"}] prints out the 3D StyleBox[\"model\", \"TI\"] using the specified 3D printing StyleBox[\"service\", \"TI\"].\nRowBox[{\"Printout3D\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).\\!\\(\\*StyleBox[\\\"ext\\\",\\\"TI\\\"]\\)\\\"\",ShowStringCharacters->True]}], \"]\"}] saves a print-ready form of the model to a file in the format indicated by the file extension StyleBox[\"ext\", \"TI\"].", - "Printout3DPreviewer":"Printout3DPreviewer is an option for Printout3D that specifies a previewer for generating outputs to print.", - "PrintPrecision":"PrintPrecision is an option for selections that specifies the maximum number of digits used for displaying a machine-precision number.", - "PrintTemporary":"RowBox[{\"PrintTemporary\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints StyleBox[\"expr\", \"TI\"] as a temporary cell in a notebook, removing it when the evaluation of the current input line is complete.", - "Prism":"RowBox[{\"Prism\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"6\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled prism connecting the triangles RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"5\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"6\", \"TR\"]]}], \"}\"}].", - "PrivateCellOptions":"PrivateCellOptions is an option for cells that specifies various low-level cell settings.", - "PrivateEvaluationOptions":"PrivateEvaluationOptions is an option for selections that specifies settings for evaluation-related suboptions.", - "PrivateFontOptions":"PrivateFontOptions is an option for selections that specifies settings for various font suboptions.", - "PrivateKey":"RowBox[{\"PrivateKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents the private part of a key pair for a public-key cryptographic system.", - "PrivateNotebookOptions":"PrivateNotebookOptions is an option for notebooks that specifies various low-level notebook settings.", - "PrivatePaths":"PrivatePaths is a global option that specifies settings for paths private to the notebook front end.", - "Probability":"RowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the probability for an event that satisfies the predicate StyleBox[\"pred\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"data\", \"TI\"]}]}], \"]\"}] gives the probability for an event that satisfies the predicate StyleBox[\"pred\", \"TI\"] under the assumption that StyleBox[\"x\", \"TI\"] follows the probability distribution given by StyleBox[\"data\", \"TI\"].\nRowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] gives the probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"Probability\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the probability that an event satisfies StyleBox[\"pred\", \"TI\"] under the assumption that SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Probability\", \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the conditional probability of SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"1\", \"TR\"]] given SubscriptBox[StyleBox[\"pred\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "ProbabilityDistribution":"RowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{StyleBox[\"pdf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the continuous distribution with PDF StyleBox[\"pdf\", \"TI\"] in the variable StyleBox[\"x\", \"TI\"] where the StyleBox[\"pdf\", \"TI\"] is taken to be zero for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]]}] and RowBox[{StyleBox[\"x\", \"TI\"], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}].\nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{StyleBox[\"pdf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the discrete distribution with PDF StyleBox[\"pdf\", \"TI\"] in the variable StyleBox[\"x\", \"TI\"] where the StyleBox[\"pdf\", \"TI\"] is taken to be zero for RowBox[{StyleBox[\"x\", \"TI\"], \"<\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]]}] and RowBox[{StyleBox[\"x\", \"TI\"], \">\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}].\nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{StyleBox[\"pdf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a multivariate distribution with PDF StyleBox[\"pdf\", \"TI\"] in the variables StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], …, etc. \nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"CDF\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"cdf\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a probability distribution with CDF given by StyleBox[\"cdf\", \"TI\"]. \nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"SF\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"sf\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a probability distribution with survival function given by StyleBox[\"sf\", \"TI\"]. \nRowBox[{\"ProbabilityDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"HF\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"hf\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a probability distribution with hazard function given by StyleBox[\"hf\", \"TI\"]. ", - "ProbabilityPlot":"RowBox[{\"ProbabilityPlot\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] generates a plot of the CDF of StyleBox[\"list\", \"TI\"] against the CDF of a normal distribution.\nRowBox[{\"ProbabilityPlot\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] generates a plot of the CDF of the distribution StyleBox[\"dist\", \"TI\"] against the CDF of a normal distribution.\nRowBox[{\"ProbabilityPlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdata\", \"TI\"]}], \"]\"}] generates a plot of the CDF of StyleBox[\"data\", \"TI\"] against the CDF of StyleBox[\"rdata\", \"TI\"].\nRowBox[{\"ProbabilityPlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdist\", \"TI\"]}], \"]\"}] generates a plot of the CDF of StyleBox[\"data\", \"TI\"] against the CDF of symbolic distribution StyleBox[\"rdist\", \"TI\"].\nRowBox[{\"ProbabilityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] generates a plot of the CDF of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] against the CDF of a reference distribution StyleBox[\"ref\", \"TI\"].", - "ProbabilityScalePlot":"RowBox[{\"ProbabilityScalePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a normal probability plot of the samples SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"ProbabilityScalePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dist\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates a probability plot scaled for the distribution \"\nStyleBox[\"dist\", \"TI\"]\".\nRowBox[{\"ProbabilityScalePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dist\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] generates several scaled probability plots for SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "ProbitModelFit":"RowBox[{\"ProbitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] constructs a binomial probit regression model of the form RowBox[{FractionBox[\"1\", \"2\"], \" \", RowBox[{\"(\", RowBox[{\"1\", \"+\", RowBox[{\"erf\", \"(\", RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"⋯\"}], \")\"}], \"\/\", SqrtBox[\"2\"]}], \")\"}]}], \")\"}]}] that fits the SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]] for successive StyleBox[\"x\", \"TI\"] values 1, 2, ….\nRowBox[{\"ProbitModelFit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] constructs a binomial probit regression model of the form RowBox[{FractionBox[\"1\", \"2\"], \" \", RowBox[{\"(\", RowBox[{\"1\", \"+\", RowBox[{\"erf\", \"(\", RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[\"β\", \"0\"], \"+\", RowBox[{SubscriptBox[\"β\", \"1\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"1\"]}], \" \", \"+\", RowBox[{SubscriptBox[\"β\", \"2\"], SubscriptBox[StyleBox[\"f\", \"TI\"], \"2\"]}], \" \", \"+\", \"⋯\"}], \")\"}], \"\/\", SqrtBox[\"2\"]}], \")\"}]}], \")\"}]}] where the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] depend on the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"ProbitModelFit\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] constructs a binomial probit regression model from the design matrix StyleBox[\"m\", \"TI\"] and response vector StyleBox[\"v\", \"TI\"].", - "ProcessConnection":"ProcessConnection[proc, \"stream\"] returns the stream object for a given stream.", - "ProcessDirectory":"ProcessDirectory is an option specifying the initial working directory to use when executing a process in functions like StartProcess and RunProcess.", - "ProcessEnvironment":"ProcessEnvironment is an option specifying the initial settings of environment variables to use when executing a process in functions like StartProcess and RunProcess.", - "Processes":"Processes[] returns a list of currently running external processes, started in this Wolfram Language session.", - "ProcessEstimator":"ProcessEstimator is an option to EstimatedProcess and FindProcessParameters that specifies what process parameter estimator to use. ", - "ProcessInformation":"ProcessInformation[proc] gives information about an external process proc.\nProcessInformation[proc, \"prop\"] gives information about the property \"prop\".", - "ProcessObject":"ProcessObject[...] is an object that represents a runnable external process.", - "ProcessParameterAssumptions":"RowBox[{\"ProcessParameterAssumptions\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] gives a logical expression for assumptions on parameters in the random process StyleBox[\"proc\", \"TI\"].", - "ProcessParameterQ":"RowBox[{\"ProcessParameterQ\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] yields True if StyleBox[\"proc\", \"TI\"] is a valid random process, and yields False otherwise.", - "ProcessStatus":"ProcessStatus[proc] gives the current status of the external process represented by the ProcessObject proc.\nProcessStatus[proc, \"status\"] returns True if the process has the status given, and returns False otherwise.", - "Product":"RowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates the product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", \"TI\"]]], \"f\"}]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates the multiple product RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", \"TI\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", \"TI\"]]], RowBox[{UnderoverscriptBox[\"∏\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", \"TI\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", \"TI\"]]], RowBox[{\"…\", \" \", \"f\"}]}]}]. \nRowBox[{\"Product\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the indefinite product RowBox[{UnderscriptBox[\"∏\", \"i\"], \"f\"}].", - "ProductDistribution":"RowBox[{\"ProductDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the joint distribution with independent component distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "ProductLog":"RowBox[{\"ProductLog\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the principal solution for StyleBox[\"w\", \"TI\"] in RowBox[{\"z\", \"\", RowBox[{\"w\", \"\", SuperscriptBox[\"e\", \"w\"]}]}]. \nRowBox[{\"ProductLog\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] solution. ", - "ProgressIndicator":"RowBox[{\"ProgressIndicator\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a progress indicator with setting StyleBox[\"x\", \"TI\"] in the range 0 to 1. \nRowBox[{\"ProgressIndicator\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"]. \nRowBox[{\"ProgressIndicator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a progress indicator with range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"ProgressIndicator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", \"Indeterminate\"}], \"]\"}] represents a progress indicator with indeterminate range. ", - "ProgressIndicatorBoxOptions":"RowBox[{ProgressIndicatorBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ProgressIndicatorBox objects.", - "Projection":"RowBox[{\"Projection\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] finds the projection of the vector StyleBox[\"u\", \"TI\"] onto the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"Projection\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] finds projections with respect to the inner product function StyleBox[\"f\", \"TI\"].", - "Prolog":"Prolog is an option for graphics functions which gives a list of graphics primitives to be rendered before the main part of the graphics is rendered. ", - "PromptForm":"RowBox[{\"PromptForm\", \"[\", RowBox[{StyleBox[\"prompt\", \"TI\"], \",\", \" \", StyleBox[\"expr\", \"TI\"]}], \"]\"}] prints as an output prompt and expression.", - "ProofObject":"RowBox[{\"ProofObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a proof object generated by FindEquationalProof.", - "Properties":"Properties is an option that allows specification of properties to objects and items of objects.", - "Property":"RowBox[{\"Property\", \"[\", RowBox[{StyleBox[\"item\", \"TI\"], \",\", RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] associates the property RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}] with StyleBox[\"item\", \"TI\"].", - "PropertyList":"RowBox[{\"PropertyList\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \"]\"}] lists the properties available for StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].", - "PropertyValue":"RowBox[{\"PropertyValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"item\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the property value associated with StyleBox[\"name\", \"TI\"] for StyleBox[\"item\", \"TI\"] in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"PropertyValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] gives the property values associated with StyleBox[\"name\", \"TI\"] for items indicated by StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"PropertyValue\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of property values associated with SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], etc.", - "Proportion":"RowBox[{\"Proportion\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∷\", StyleBox[\"y\", \"TI\"], \"∷\", \"…\"}].", - "Proportional":"RowBox[{\"Proportional\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∝\", StyleBox[\"y\", \"TI\"], \"∝\", \"…\"}].", - "Protect":"RowBox[{\"Protect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets the attribute Protected for the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Protect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] protects all symbols whose names match any of the string patterns SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Protected":"Protected is an attribute that prevents any values associated with a symbol from being modified. ", - "ProteinData":"RowBox[{\"ProteinData\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the reference amino acid sequence for the protein StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ProteinData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the protein StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ProteinData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Pruning":"RowBox[{\"Pruning\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] removes the outermost branches of thin objects in StyleBox[\"image\", \"TI\"] by setting their values to black.\nRowBox[{\"Pruning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] removes branches that are at most StyleBox[\"n\", \"TI\"] pixels long.\nRowBox[{\"Pruning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] removes StyleBox[\"n\", \"TI\"] pixels from each branch.\nRowBox[{\"Pruning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "PseudoInverse":"RowBox[{\"PseudoInverse\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] finds the pseudoinverse of a rectangular matrix. ", - "PsychrometricPropertyData":"RowBox[{\"PsychrometricPropertyData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the psychrometric properties of moist air for the specified parameters.\nRowBox[{\"PsychrometricPropertyData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the specified property for the given parameters.", - "PublicKey":"RowBox[{\"PublicKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents the public part of a key pair for a public-key cryptographic system.", - "PublisherID":"PublisherID is an option for ResourceSubmit that specifies the ID used to submit a resource for publication in the resource system.", - "PulsarData":"RowBox[{\"PulsarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the pulsar StyleBox[\"entity\", \"TI\"].\nRowBox[{\"PulsarData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified pulsar entities.\nRowBox[{\"PulsarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "PunctuationCharacter":"PunctuationCharacter represents a punctuation character in StringExpression.", - "Purple":"Purple represents the color purple in graphics or style specifications. ", - "Put":"RowBox[{StyleBox[\"expr\", \"TI\"], \">>\", StyleBox[\"filename\", \"TI\"]}] writes StyleBox[\"expr\", \"TI\"] to a file. \nRowBox[{\"Put\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes a sequence of expressions SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a file. \nRowBox[{\"Put\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates an empty file with the specified name.", - "PutAppend":"RowBox[{StyleBox[\"expr\", \"TI\"], \">>>\", StyleBox[\"filename\", \"TI\"]}] appends StyleBox[\"expr\", \"TI\"] to a file. \nRowBox[{\"PutAppend\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] appends a sequence of expressions SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to a file. ", - "Pyramid":"RowBox[{\"Pyramid\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"5\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled pyramid with base RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]]}], \"}\"}] and top SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"5\", \"TR\"]].", - "QBinomial":"RowBox[{\"QBinomial\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-binomial coefficient SubscriptBox[RowBox[{\"(\", GridBox[{{TagBox[StyleBox[\"n\", \"TI\"], Identity, Editable -> True, Selectable -> True]}, {TagBox[StyleBox[\"m\", \"TI\"], Identity, Editable -> True, Selectable -> True]}}], \")\"}], StyleBox[\"q\", \"TI\"]].", - "QFactorial":"RowBox[{\"QFactorial\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-factorial RowBox[{SubscriptBox[RowBox[{\"[\", StyleBox[\"n\", \"TI\"], \"]\"}], StyleBox[\"q\", \"TI\"]], \"!\"}].", - "QGamma":"RowBox[{\"QGamma\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-gamma function RowBox[{SubscriptBox[\"Γ\", StyleBox[\"q\", \"TI\"]], \" \", RowBox[{\"(\", StyleBox[\"z\", \"TI\"], \")\"}]}].", - "QHypergeometricPFQ":"RowBox[{\"QHypergeometricPFQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"s\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the basic hypergeometric series RowBox[{SubscriptBox[\"\", StyleBox[\"r\", \"TI\"]], \"\", SubscriptBox[\"ϕ\", StyleBox[\"s\", \"TI\"]], \"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"b\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"], \";\", StyleBox[\"z\", \"TI\"]}], \")\"}].", - "QnDispersion":"RowBox[{\"QnDispersion\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"QnDispersion\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"Q\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic with a scaling factor StyleBox[\"c\", \"TI\"].", - "QPochhammer":"RowBox[{\"QPochhammer\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-Pochhammer symbol SubscriptBox[RowBox[{RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"]}], \")\"}], \" \"}], StyleBox[\"n\", \"TI\"]].\nRowBox[{\"QPochhammer\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-Pochhammer symbol SubscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"a\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"]}], \")\"}], \"∞\"].\nRowBox[{\"QPochhammer\", \"[\", StyleBox[\"q\", \"TI\"], \"]\"}] gives the StyleBox[\"q\", \"TI\"]-Pochhammer symbol SubscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"q\", \"TI\"], \";\", StyleBox[\"q\", \"TI\"]}], \")\"}], \"∞\"].", - "QPolyGamma":"RowBox[{\"QPolyGamma\", \"[\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the q-digamma function RowBox[{SubscriptBox[\"ψ\", \"q\"], \"(\", \"z\", \")\"}].\nRowBox[{\"QPolyGamma\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the nSuperscriptBox[\"\", \"th\"] derivative of the q-digamma function RowBox[{SubsuperscriptBox[\"ψ\", \"q\", RowBox[{\"(\", \"n\", \")\"}]], \"(\", \"z\", \")\"}].", - "QRDecomposition":"RowBox[{\"QRDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] yields the QR decomposition for a numerical matrix StyleBox[\"m\", \"TI\"]. The result is a list RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}], where StyleBox[\"q\", \"TI\"] is a unitary matrix and StyleBox[\"r\", \"TI\"] is an upper‐triangular matrix. ", - "QuadraticIrrationalQ":"RowBox[{\"QuadraticIrrationalQ\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives True if StyleBox[\"x\", \"TI\"] is a quadratic irrational and False otherwise.", - "Quantile":"RowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"q\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] quantile of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of quantiles SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. \nRowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the quantile definition specified by parameters StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"], StyleBox[\"c\", \"TI\"], StyleBox[\"d\", \"TI\"]. \nRowBox[{\"Quantile\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] gives a quantile of the distribution StyleBox[\"dist\", \"TI\"].", - "QuantilePlot":"RowBox[{\"QuantilePlot\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] generates a plot of quantiles of StyleBox[\"list\", \"TI\"] against the quantiles of a normal distribution.\nRowBox[{\"QuantilePlot\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] generates a plot of quantiles of the distribution StyleBox[\"dist\", \"TI\"] against the quantiles of a normal distribution.\nRowBox[{\"QuantilePlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdata\", \"TI\"]}], \"]\"}] generates a plot of the quantiles of StyleBox[\"data\", \"TI\"] against the quantiles of StyleBox[\"rdata\", \"TI\"].\nRowBox[{\"QuantilePlot\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"rdist\", \"TI\"]}], \"]\"}] generates a plot of the quantiles of StyleBox[\"data\", \"TI\"] against the quantiles of a symbolic distribution StyleBox[\"rdist\", \"TI\"].\nRowBox[{\"QuantilePlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"ref\", \"TI\"]}], \"]\"}] generates a plot of quantiles of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] against the quantiles of a reference distribution StyleBox[\"ref\", \"TI\"].", - "Quantity":"RowBox[{\"Quantity\", \"[\", RowBox[{StyleBox[\"magnitude\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] represents a quantity with size StyleBox[\"magnitude\", \"TI\"] and unit specified by StyleBox[\"unit\", \"TI\"].\nRowBox[{\"Quantity\", \"[\", StyleBox[\"unit\", \"TI\"], \"]\"}] assumes the StyleBox[\"magnitude\", \"TI\"] of the specified StyleBox[\"unit\", \"TI\"] to be 1.", - "QuantityArray":"RowBox[{\"QuantityArray\", \"[\", RowBox[{StyleBox[\"mags\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] represents an array of quantities with magnitudes StyleBox[\"mags\", \"TI\"] and common StyleBox[\"unit\", \"TI\"].\nRowBox[{\"QuantityArray\", \"[\", RowBox[{StyleBox[\"mags\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an array of lists of quantities with units RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"QuantityArray\", \"[\", StyleBox[\"quants\", \"TI\"], \"]\"}] converts an array of Quantity objects into a single QuantityArray object.", - "QuantityDistribution":"RowBox[{\"QuantityDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] represents a distribution StyleBox[\"dist\", \"TI\"] of quantities with unit specified by StyleBox[\"unit\", \"TI\"].\nRowBox[{\"QuantityDistribution\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a multivariate distribution with units RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"unit\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "QuantityForm":"RowBox[{\"QuantityForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] prints StyleBox[\"expr\", \"TI\"] with all Quantity expressions using the specified unit display form StyleBox[\"form\", \"TI\"].\nRowBox[{\"QuantityForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"forms\", \"TI\"], \"}\"}]}], \"]\"}] prints StyleBox[\"expr\", \"TI\"] using the appropriate combination of the specified unit display forms StyleBox[\"forms\", \"TI\"].", - "QuantityMagnitude":"RowBox[{\"QuantityMagnitude\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] gives the amount of the specified StyleBox[\"quantity\", \"TI\"].\nRowBox[{\"QuantityMagnitude\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] gives the value corresponding to StyleBox[\"quantity\", \"TI\"] when converted to StyleBox[\"unit\", \"TI\"].", - "QuantityQ":"RowBox[{\"QuantityQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a Quantity with valid arguments, and False otherwise.", - "QuantityThread":"RowBox[{\"QuantityThread\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] threads the unit of StyleBox[\"quantity\", \"TI\"] through all levels of its magnitude.\nRowBox[{\"QuantityThread\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] threads the unit to depth StyleBox[\"n\", \"TI\"].", - "QuantityUnit":"RowBox[{\"QuantityUnit\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] returns the unit associated with the specified StyleBox[\"quantity\", \"TI\"].", - "QuantityVariable":"RowBox[{\"QuantityVariable\", \"[\", RowBox[{StyleBox[\"var\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a variable with the label StyleBox[\"var\", \"TI\"] and the corresponding physical quantity \"StyleBox[\"pq\", \"TI\"]\".\nRowBox[{\"QuantityVariable\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pq\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the unlabeled physical quantity \"StyleBox[\"pq\", \"TI\"]\".", - "QuantityVariableCanonicalUnit":"RowBox[{\"QuantityVariableCanonicalUnit\", \"[\", StyleBox[\"quantityvariable\", \"TI\"], \"]\"}] returns the canonical unit associated with the specified StyleBox[\"quantityvariable\", \"TI\"].", - "QuantityVariableDimensions":"RowBox[{\"QuantityVariableDimensions\", \"[\", StyleBox[\"quantityvariable\", \"TI\"], \"]\"}] returns a list of base dimensions associated with the specified StyleBox[\"quantityvariable\", \"TI\"].", - "QuantityVariableIdentifier":"RowBox[{\"QuantityVariableIdentifier\", \"[\", StyleBox[\"quantityvariable\", \"TI\"], \"]\"}] returns the identifier associated with the specified StyleBox[\"quantityvariable\", \"TI\"].", - "QuantityVariablePhysicalQuantity":"RowBox[{\"QuantityVariablePhysicalQuantity\", \"[\", StyleBox[\"var\", \"TI\"], \"]\"}] returns the physical quantity associated with the quantity variable StyleBox[\"var\", \"TI\"].", - "Quartics":"Quartics is an option for functions that involve solving algebraic equations that specifies whether explicit forms for solutions to quartic equations should be given.", - "QuartileDeviation":"RowBox[{\"QuartileDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the quartile deviation or semi-interquartile range of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"QuartileDeviation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the quartile deviation or semi-interquartile range of the distribution StyleBox[\"dist\", \"TI\"].", - "Quartiles":"RowBox[{\"Quartiles\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of the 1\/4, 1\/2 and 3\/4 quantiles of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Quartiles\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives a list of the 1\/4, 1\/2 and 3\/4 quantiles of the distribution StyleBox[\"dist\", \"TI\"].", - "QuartileSkewness":"RowBox[{\"QuartileSkewness\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the coefficient of quartile skewness for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"QuartileSkewness\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the coefficient of quartile skewness for the distribution StyleBox[\"dist\", \"TI\"].", - "Query":"RowBox[{\"Query\", \"[\", RowBox[{SubscriptBox[StyleBox[\"operator\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"operator\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a query that can be applied to a Dataset object, in which the successive SubscriptBox[StyleBox[\"operator\", \"TI\"], StyleBox[\"i\", \"TI\"]] are applied at successively deeper levels. ", - "QueueingNetworkProcess":"RowBox[{\"QueueingNetworkProcess\", \"[\", RowBox[{StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents an open (Jackson) queueing network process with arrival vector StyleBox[\"γ\", \"TR\"], routing probability matrix StyleBox[\"r\", \"TI\"], service vector StyleBox[\"μ\", \"TR\"], and service channel vector StyleBox[\"c\", \"TI\"]. \nRowBox[{\"QueueingNetworkProcess\", \"[\", RowBox[{StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a closed (Gordon–Newell) queueing network process with StyleBox[\"k\", \"TI\"] jobs in the system.", - "QueueingProcess":"RowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents an M\/M\/1 queue with arrival rate StyleBox[\"λ\", \"TR\"] and service rate StyleBox[\"μ\", \"TR\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"sdist\", \"TI\"]}], \"]\"}] represents an M\/G\/1 queue with arrival rate StyleBox[\"λ\", \"TR\"] and service distribution StyleBox[\"sdist\", \"TI\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"adist\", \"TI\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a G\/M\/1 queue with arrival distribution StyleBox[\"adist\", \"TI\"] and service rate StyleBox[\"μ\", \"TR\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"adist\", \"TI\"], \",\", StyleBox[\"sdist\", \"TI\"]}], \"]\"}] represents a G\/G\/1 queue with arrival distribution StyleBox[\"adist\", \"TI\"] and service distribution StyleBox[\"sdist\", \"TI\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a queueing process with StyleBox[\"c\", \"TI\"] service channels.\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents a queueing process with system capacity StyleBox[\"k\", \"TI\"].\nRowBox[{\"QueueingProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] represents a queueing process with initial state SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]].", - "QueueProperties":"RowBox[{\"QueueProperties\", \"[\", StyleBox[\"qproc\", \"TI\"], \"]\"}] gives a summary of properties for the queueing process StyleBox[\"qproc\", \"TI\"].\nRowBox[{\"QueueProperties\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"qproc\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] gives a summary of properties for the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] node in the queueing network process StyleBox[\"qproc\", \"TI\"].\nRowBox[{\"QueueProperties\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives a summary of properties for queueing simulation data. \nRowBox[{\"QueueProperties\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified \"StyleBox[\"property\", \"TI\"]\".", - "Quiet":"RowBox[{\"Quiet\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] \"quietly\", without actually outputting any messages generated.\nRowBox[{\"Quiet\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"::\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] quietens only the specified messages during the evaluation of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Quiet\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] quietens only the named group of messages.", - "Quit":"RowBox[{\"Quit\", \"[\", \"]\"}] terminates a StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel session. ", - "Quotient":"RowBox[{\"Quotient\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the integer quotient of StyleBox[\"m\", \"TI\"] and StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Quotient\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses an offset StyleBox[\"d\", \"TI\"]. ", - "QuotientRemainder":"RowBox[{\"QuotientRemainder\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the quotient and remainder from division of StyleBox[\"m\", \"TI\"] by StyleBox[\"n\", \"TI\"].", - "RadialGradientImage":"RowBox[{\"RadialGradientImage\", \"[\", StyleBox[\"gcol\", \"TI\"], \"]\"}] returns an image with values radially changing from center to corners based on gradient color StyleBox[\"gcol\", \"TI\"].\nRowBox[{\"RadialGradientImage\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"\", StyleBox[\"gcol\", \"TI\"]}], \"]\"}] returns an image where the gradient starts at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]] and ends at SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"RadialGradientImage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] returns a radial gradient image of the specified StyleBox[\"size\", \"TI\"].", - "RadialityCentrality":"RowBox[{\"RadialityCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of radiality centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"RadialityCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"In\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of in-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"RadialityCentrality\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"\\\"Out\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of out-centralities for a directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"RadialityCentrality\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "RadicalBox":"RowBox[{RadicalBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] is a low-level box construct that represents the displayed object RadicalBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]] in notebook expressions. ", - "RadicalBoxOptions":"RadicalBoxOptions is an option for selections that specifies settings for RadicalBox objects.", - "RadioButton":"RowBox[{\"RadioButton\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] represents a radio button whose setting StyleBox[\"x\", \"TI\"] is set to StyleBox[\"val\", \"TI\"] when the button is clicked. \nRowBox[{\"RadioButton\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] is displayed as RadioButtonBox[0, {0}] when StyleBox[\"x\", \"TI\"] is StyleBox[\"val\", \"TI\"], and as RadioButtonBox[1, {0}] otherwise. \nRowBox[{\"RadioButton\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the button is clicked. ", - "RadioButtonBar":"RowBox[{\"RadioButtonBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a radio button bar with setting StyleBox[\"x\", \"TI\"] and with labeled radio buttons for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RadioButtonBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset every time a radio button is pressed.\nRowBox[{\"RadioButtonBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a radio button bar in which the radio button giving value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] is given label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "RadioButtonBoxOptions":"RowBox[{RadioButtonBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RadioButtonBox objects.", - "Radon":"RowBox[{\"Radon\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives an image representing the discrete Radon transform of StyleBox[\"image\", \"TI\"].\nRowBox[{\"Radon\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies the width StyleBox[\"w\", \"TI\"] and the height StyleBox[\"h\", \"TI\"] of the resulting image.\nRowBox[{\"Radon\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] computes the Radon transform only for angles from SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "RadonTransform":"RowBox[{\"RadonTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the Radon transform of StyleBox[\"expr\", \"TI\"].", - "RamanujanTau":"RowBox[{\"RamanujanTau\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Ramanujan τ function RowBox[{\"τ\", \"(\", StyleBox[\"n\", \"TI\"], \")\"}].", - "RamanujanTauL":"RowBox[{\"RamanujanTauL\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Ramanujan tau Dirichlet L-function RowBox[{StyleBox[\"L\", \"TI\"], \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", - "RamanujanTauTheta":"RowBox[{\"RamanujanTauTheta\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Ramanujan tau theta function RowBox[{\"θ\", \"(\", \"t\", \")\"}].", - "RamanujanTauZ":"RowBox[{\"RamanujanTauZ\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Ramanujan tau Z-function RowBox[{StyleBox[\"Z\", \"TI\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}].", - "Ramp":"RowBox[{\"Ramp\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives StyleBox[\"x\", \"TI\"] if RowBox[{StyleBox[\"x\", \"TI\"], \"≥\", \"0\"}] and 0 otherwise.", - "Random":"RowBox[{\"Random\", \"[\", \"]\"}] gives a uniformly distributed pseudorandom Real in the range 0 to 1. \nRowBox[{\"Random\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"range\", \"TI\"]}], \"]\"}] gives a pseudorandom number of the specified type, lying in the specified range. Possible types are: Integer, Real and Complex. The default range is 0 to 1. You can give the range RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}] explicitly; a range specification of StyleBox[\"max\", \"TI\"] is equivalent to RowBox[{\"{\", RowBox[{\"0\", \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]. ", - "RandomChoice":"RowBox[{\"RandomChoice\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a pseudorandom choice of one of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom choices. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom choices. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a pseudorandom choice weighted by the SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RandomChoice\", \"[\", RowBox[{RowBox[{StyleBox[\"wlist\", \"TI\"], \"\", StyleBox[\"elist\", \"TI\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] weighted choices.\nRowBox[{\"RandomChoice\", \"[\", RowBox[{RowBox[{StyleBox[\"wlist\", \"TI\"], \"\", StyleBox[\"elist\", \"TI\"]}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of weighted choices.", - "RandomColor":"RowBox[{\"RandomColor\", \"[\", \"]\"}] gives a pseudorandom color directive in the RGBColor space.\nRowBox[{\"RandomColor\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives StyleBox[\"n\", \"TI\"] pseudorandom colors.\nRowBox[{\"RandomColor\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] gives a color from the specified StyleBox[\"model\", \"TI\"].\nRowBox[{\"RandomColor\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives StyleBox[\"n\", \"TI\"] colors.\nRowBox[{\"RandomColor\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an array of colors.", - "RandomComplex":"RowBox[{\"RandomComplex\", \"[\", \"]\"}] gives a pseudorandom complex number with real and imaginary parts in the range 0 to 1.\nRowBox[{\"RandomComplex\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom complex number in the rectangle with corners given by the complex numbers SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomComplex\", \"[\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom complex number in the rectangle whose corners are the origin and SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomComplex\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom complex numbers.\nRowBox[{\"RandomComplex\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom complex numbers.", - "RandomEntity":"RowBox[{\"RandomEntity\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] gives a pseudorandom entity with a type determined by the specification StyleBox[\"spec\", \"TI\"].\nRowBox[{\"RandomEntity\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom entities.", - "RandomFunction":"RowBox[{\"RandomFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a pseudorandom function from the process StyleBox[\"proc\", \"TI\"] from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"RandomFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dt\", \"TI\"]}], \"}\"}]}], \"]\"}] generates a pseudorandom function from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]] in steps of StyleBox[\"dt\", \"TI\"].\nRowBox[{\"RandomFunction\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", \" \", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates an ensemble of StyleBox[\"n\", \"TI\"] pseudorandom functions. ", - "RandomGraph":"RowBox[{\"RandomGraph\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}], \"]\"}] gives a pseudorandom graph with StyleBox[\"n\", \"TI\"] vertices and StyleBox[\"m\", \"TI\"] edges.\nRowBox[{\"RandomGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"k\", \"TI\"] pseudorandom graphs.\nRowBox[{\"RandomGraph\", \"[\", RowBox[{StyleBox[\"gdist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] samples from the random graph distribution StyleBox[\"gdist\", \"TI\"].", - "RandomImage":"RowBox[{\"RandomImage\", \"[\", StyleBox[\"max\", \"TI\"], \"]\"}] gives an image with pseudorandom pixel values in the range 0 to StyleBox[\"max\", \"TI\"].\nRowBox[{\"RandomImage\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] generates pseudorandom pixel values in the range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"RandomImage\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] generates pixel values using a symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"RandomImage\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] generates a random image of the specified StyleBox[\"size\", \"TI\"].", - "RandomInteger":"RowBox[{\"RandomInteger\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom integer in the range RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"RandomInteger\", \"[\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom integer in the range RowBox[{\"{\", RowBox[{\"0\", \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"RandomInteger\", \"[\", \"]\"}] pseudorandomly gives 0 or 1. \nRowBox[{\"RandomInteger\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom integers. \nRowBox[{\"RandomInteger\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom integers. ", - "RandomPermutation":"RowBox[{\"RandomPermutation\", \"[\", StyleBox[\"gr\", \"TI\"], \"]\"}] gives a pseudorandom permutation in the permutation group StyleBox[\"gr\", \"TI\"].\nRowBox[{\"RandomPermutation\", \"[\", RowBox[{StyleBox[\"gr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom permutations in the permutation group StyleBox[\"gr\", \"TI\"].", - "RandomPoint":"RowBox[{\"RandomPoint\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a pseudorandom point uniformly distributed in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RandomPoint\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom points uniformly distributed in the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RandomPoint\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an RowBox[{StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \"×\", StyleBox[\" \", \"TI\"], StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \"×\", StyleBox[\"…\", \"TR\"]}] array of pseudorandom points.\nRowBox[{\"RandomPoint\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}], \"×\", \"⋯\"}].", - "RandomPrime":"RowBox[{\"RandomPrime\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom prime number in the range SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomPrime\", \"[\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom prime number in the range 2 to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomPrime\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom primes.", - "RandomReal":"RowBox[{\"RandomReal\", \"[\", \"]\"}] gives a pseudorandom real number in the range 0 to 1. \nRowBox[{\"RandomReal\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \"]\"}] gives a pseudorandom real number in the range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"RandomReal\", \"[\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] gives a pseudorandom real number in the range 0 to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RandomReal\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom reals. \nRowBox[{\"RandomReal\", \"[\", RowBox[{StyleBox[\"range\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array of pseudorandom reals. ", - "RandomSample":"RowBox[{\"RandomSample\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a pseudorandom sample of StyleBox[\"n\", \"TI\"] of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RandomSample\", \"[\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a pseudorandom sample of StyleBox[\"n\", \"TI\"] of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] chosen using weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RandomSample\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a pseudorandom permutation of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "RandomSeeding":"RandomSeeding is an option that specifies what seeding of pseudorandom generators should be done inside the operation of a function.", - "RandomVariate":"RowBox[{\"RandomVariate\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives a pseudorandom variate from the symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"RandomVariate\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom variates from the symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"RandomVariate\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an RowBox[{StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"TI\"], \"×\", StyleBox[\" \", \"TI\"], StyleBox[SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"TI\"], \"×\", StyleBox[\"…\", \"TR\"]}] array of pseudorandom variates from the symbolic distribution StyleBox[\"dist\", \"TI\"].", - "RandomWalkProcess":"RowBox[{\"RandomWalkProcess\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a random walk on a line with the probability of a positive unit step StyleBox[\"p\", \"TI\"] and the probability of a negative unit step RowBox[{\"1\", \"-\", StyleBox[\"p\", \"TI\"]}].\nRowBox[{\"RandomWalkProcess\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a random walk with the probability of a positive unit step StyleBox[\"p\", \"TI\"], the probability of a negative unit step StyleBox[\"q\", \"TI\"], and the probability of a zero step RowBox[{\"1\", \"-\", StyleBox[\"p\", \"TI\"], \"-\", StyleBox[\"q\", \"TI\"]}].", - "RandomWord":"RowBox[{\"RandomWord\", \"[\", \"]\"}] gives a pseudorandom commonly used word.\nRowBox[{\"RandomWord\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] gives a pseudorandom word of the specified StyleBox[\"type\", \"TI\"].\nRowBox[{\"RandomWord\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"n\", \"TI\"] pseudorandom words of the specified StyleBox[\"type\", \"TI\"].", - "Range":"RowBox[{\"Range\", \"[\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"]\"}] generates the list RowBox[{\"{\", RowBox[{\"1\", \",\", \"2\", \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"Range\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}] generates the list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]. \nRowBox[{\"Range\", \"[\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"]\"}] uses step StyleBox[\"di\", \"TI\"].", - "RangeFilter":"RowBox[{\"RangeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the difference of the maximum and minimum in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"RangeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "RankedMax":"RowBox[{\"RankedMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] largest element in StyleBox[\"list\", \"TI\"].\nRowBox[{\"RankedMax\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] smallest element in StyleBox[\"list\", \"TI\"].", - "RankedMin":"RowBox[{\"RankedMin\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] smallest element in StyleBox[\"list\", \"TI\"].\nRowBox[{\"RankedMin\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] largest element in StyleBox[\"list\", \"TI\"].", - "Raster":"RowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a two-dimensional graphics primitive which represents a rectangular array of gray cells. \nRowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of RGB color cells. \nRowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of color cells with opacity SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"ij\", \"TI\"]]. \nRowBox[{\"Raster\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of gray cells with the specified opacities. ", - "Raster3D":"RowBox[{\"Raster3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a three-dimensional graphics primitive that represents a cubical array of gray cells. \nRowBox[{\"Raster3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of RGB color cells. \nRowBox[{\"Raster3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an array of color cells with opacity SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"ij\", \"TI\"]].\nRowBox[{\"Raster3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents a three-dimensional graphics primitive by giving the coordinates of opposite corners.\nRowBox[{\"Raster3D\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"coordinates\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a three-dimensional graphics primitive whose voxel values should be scaled so that SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"min\", \"TI\"]] corresponds to 0 and SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"max\", \"TI\"]] corresponds to 1.", - "Raster3DBoxOptions":"RowBox[{Raster3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Raster3DBox objects.", - "RasterArray":"RowBox[{\"RasterArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a two-dimensional graphics primitive that represents a rectangular array of cells colored according to the graphics directives SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"ij\", \"TI\"]]. ", - "RasterBoxOptions":"RowBox[{RasterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RasterBox objects.", - "Rasterize":"RowBox[{\"Rasterize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns a rasterized version of the displayed form of StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Rasterize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives the element StyleBox[\"elem\", \"TI\"] associated with the rasterized form of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Rasterize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the specified SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "RasterSize":"RasterSize is an option for Rasterize and related functions that determines the absolute pixel size of the raster generated.", - "Rational":"Rational is the head used for rational numbers. ", - "Rationalize":"RowBox[{\"Rationalize\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] converts an approximate number StyleBox[\"x\", \"TI\"] to a nearby rational with small denominator. \nRowBox[{\"Rationalize\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"dx\", \"TI\"]}], \"]\"}] yields the rational number with smallest denominator that lies within StyleBox[\"dx\", \"TI\"] of StyleBox[\"x\", \"TI\"].", - "Rationals":"Rationals represents the domain of rational numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Rationals\"}]. ", - "Ratios":"RowBox[{\"Ratios\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the successive ratios of elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Ratios\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] iterated ratios of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Ratios\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the successive SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]SuperscriptBox[\"\", \"th\"] ratios at level StyleBox[\"k\", \"TI\"] in a nested list. ", - "RawBoxes":"RowBox[{RawBoxes, \"[\", StyleBox[\"boxes\", \"TI\"], \"]\"}] is a low-level construct which is formatted as StyleBox[\"boxes\", \"TI\"] without further interpretation. ", - "RawData":"RowBox[{\"RawData\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] is a low-level representation of the contents of a cell in which StyleBox[\"Show Cell Expression\", \"MenuName\"] has been toggled.", - "RawMedium":"RawMedium is an internal symbol.", - "RayleighDistribution":"RowBox[{\"RayleighDistribution\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents the Rayleigh distribution with scale parameter StyleBox[\"σ\", \"TR\"].", - "Re":"RowBox[{\"Re\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the real part of the complex number StyleBox[\"z\", \"TI\"]. ", - "Read":"RowBox[{\"Read\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] reads one expression from an input stream and returns the expression. \nRowBox[{\"Read\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads one object of the specified type. \nRowBox[{\"Read\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads a sequence of objects of the specified types. ", - "ReadByteArray":"RowBox[{\"ReadByteArray\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] gives the contents of StyleBox[\"src\", \"TI\"] as a ByteArray object.\nRowBox[{\"ReadByteArray\", \"[\", RowBox[{StyleBox[\"src\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads the first StyleBox[\"n\", \"TI\"] bytes from StyleBox[\"src\", \"TI\"].\nRowBox[{\"ReadByteArray\", \"[\", RowBox[{StyleBox[\"src\", \"TI\"], \",\", StyleBox[\"term\", \"TI\"]}], \"]\"}] reads until the termination condition StyleBox[\"term\", \"TI\"] is satisfied.", - "ReadLine":"ReadLine[stream] reads a line of text from a stream and returns it as a string.\nReadLine[proc] reads a line of text generated by an external process and returns it as a string.", - "ReadList":"RowBox[{\"ReadList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reads all the remaining expressions in a file and returns a list of them. \nRowBox[{\"ReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] reads objects of the specified type from a file, until the end of the file is reached. The list of objects read is returned. \nRowBox[{\"ReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reads objects with a sequence of types, until the end of the file is reached. \nRowBox[{\"ReadList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"types\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reads only the first StyleBox[\"n\", \"TI\"] objects of the specified types. ", - "ReadProtected":"ReadProtected is an attribute that prevents values associated with a symbol from being seen. ", - "ReadString":"ReadString[\"file\"] reads the complete contents of a file and returns it as a string.\nReadString[stream] reads everything from a stream and returns it as a string.\nReadString[proc] reads everything generated by an external process and returns it as a string.\nReadString[src,term] reads until the terminator term is encountered.", - "Real":"Real is the head used for real (floating‐point) numbers. ", - "RealAbs":"RowBox[{\"RealAbs\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the absolute value of the real number StyleBox[\"x\", \"TI\"]. ", - "RealBlockDiagonalForm":"RealBlockDiagonalForm is an option for SchurDecomposition and related functions which specifies whether 2×2 blocks of real values should be used on matrix diagonals in place of complex values.", - "RealDigits":"RowBox[{\"RealDigits\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a list of the digits in the approximate real number StyleBox[\"x\", \"TI\"], together with the number of digits that are to the left of the decimal point. \nRowBox[{\"RealDigits\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives a list of base‐StyleBox[\"b\", \"TI\"] digits in StyleBox[\"x\", \"TI\"]. \nRowBox[{\"RealDigits\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"]}], \"]\"}] gives a list of StyleBox[\"len\", \"TI\"] digits. \nRowBox[{\"RealDigits\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"len\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives StyleBox[\"len\", \"TI\"] digits starting with the coefficient of SuperscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"n\", \"TI\"]]. ", - "RealExponent":"RowBox[{\"RealExponent\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives RowBox[{SubscriptBox[\"log\", \"10\"], \"(\", RowBox[{\"\", \"x\", \"\"}], \")\"}].\nRowBox[{\"RealExponent\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] gives RowBox[{SubscriptBox[\"log\", \"b\"], \"(\", RowBox[{\"\", \"x\", \"\"}], \")\"}].", - "Reals":"Reals represents the domain of real numbers, as in RowBox[{StyleBox[\"x\", \"TI\"], StyleBox[\"∈\", \"TR\"], \"Reals\"}]. ", - "RealSign":"RowBox[{\"RealSign\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives RowBox[{\"-\", \"1\"}], 0 or 1 depending on whether StyleBox[\"x\", \"TI\"] is negative, zero or positive. ", - "Reap":"RowBox[{\"Reap\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] together with all expressions to which Sow has been applied during its evaluation. Expressions sown using RowBox[{\"Sow\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] or RowBox[{\"Sow\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"]\"}] with different tags are given in different lists. \nRowBox[{\"Reap\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] reaps only expressions sown with tags that match StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"Reap\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] puts expressions associated with each of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a separate list. \nRowBox[{\"Reap\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] returns RowBox[{\"{\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]. ", - "RecognitionPrior":"RecognitionPrior is an option for ImageInstanceQ and related functions that specifies the prior probability to assume for the function to give True.", - "RecognitionThreshold":"RecognitionThreshold is an option for ImageInstanceQ and related functions that specifies the minimum estimated probability at which recognition is considered acceptable. ", - "Record":"Record represents a record in Read, Find, and related functions. ", - "RecordLists":"RecordLists is an option for ReadList that specifies whether objects from separate records should be returned in separate sublists. ", - "RecordSeparators":"RecordSeparators is an option for Read, Find, and related functions that specifies the list of strings to be taken as delimiters for records. ", - "Rectangle":"RowBox[{\"Rectangle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents an axis-aligned filled rectangle from RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}] to RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}].\nRowBox[{\"Rectangle\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \"]\"}] corresponds to a unit square with its bottom-left corner at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}].", - "RectangleBoxOptions":"RowBox[{RectangleBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RectangleBox objects.", - "RectangleChart":"RowBox[{\"RectangleChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a rectangle chart with bars of width SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and height SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RectangleChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a rectangle chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"RectangleChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a rectangle chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "RectangleChart3D":"RowBox[{\"RectangleChart3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D rectangle chart with bars of width SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], depth SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], and height SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RectangleChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D rectangle chart with bar features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"RectangleChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D rectangle chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "RectangularRepeatingElement":"RowBox[{\"RectangularRepeatingElement\", \"[\", StyleBox[\"elem\", \"TI\"], \"]\"}] represents a rectangular array of elements of type StyleBox[\"spec\", \"TI\"] in an interpreter, API or form specification.\nRowBox[{\"RectangularRepeatingElement\", \"[\", RowBox[{StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"maxrows\", \"TI\"], \",\", StyleBox[\"maxcolumns\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a rectangular array of elements of maximum size RowBox[{StyleBox[\"maxrows\", \"TI\"], \"×\", StyleBox[\"maxcolums\", \"TI\"]}].\nRowBox[{\"RectangularRepeatingElement\", \"[\", RowBox[{StyleBox[\"elem\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"minrows\", \"TI\"], \",\", StyleBox[\"maxrows\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"mincolumns\", \"TI\"], \",\", StyleBox[\"maxcolumns\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents a rectangular array of elements of dimensions between RowBox[{StyleBox[\"minrows\", \"TI\"], \"×\", StyleBox[\"mincolumns\", \"TI\"]}] and RowBox[{StyleBox[\"maxrows\", \"TI\"], \"×\", StyleBox[\"maxcolums\", \"TI\"]}].", - "RecurrenceFilter":"RowBox[{\"RecurrenceFilter\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] filters StyleBox[\"x\", \"TI\"] using a linear recurrence equation with coefficients StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"tf\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] uses a discrete-time filter defined by the TransferFunctionModel StyleBox[\"tf\", \"TI\"].\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a specified list RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] as the initial condition.\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"image\", \"TI\"]}], \"]\"}] filters StyleBox[\"image\", \"TI\"].\nRowBox[{\"RecurrenceFilter\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"sound\", \"TI\"]}], \"]\"}] filters sampled StyleBox[\"sound\", \"TI\"] object.", - "RecurrenceTable":"RowBox[{\"RecurrenceTable\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a list of values of StyleBox[\"expr\", \"TI\"] for successive StyleBox[\"n\", \"TI\"] based on solving the recurrence equations StyleBox[\"eqns\", \"TI\"].\nRowBox[{\"RecurrenceTable\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"]}], \"]\"}] generates a list of values of StyleBox[\"expr\", \"TI\"] over the range of StyleBox[\"n\", \"TI\"] values specified by StyleBox[\"nspec\", \"TI\"].\nRowBox[{\"RecurrenceTable\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates an array of values of StyleBox[\"expr\", \"TI\"] for successive SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", - "Red":"Red represents the color red in graphics or style specifications. ", - "Reduce":"RowBox[{\"Reduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] reduces the statement StyleBox[\"expr\", \"TI\"] by solving equations or inequalities for StyleBox[\"vars\", \"TI\"] and eliminating quantifiers. \nRowBox[{\"Reduce\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] does the reduction over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Reals, Integers, and Complexes. ", - "ReferenceLineStyle":"ReferenceLineStyle is an option for QuantilePlot and similar functions that specifies the style used for the reference line. ", - "Refine":"RowBox[{\"Refine\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] gives the form of StyleBox[\"expr\", \"TI\"] that would be obtained if symbols in it were replaced by explicit numerical expressions satisfying the assumptions StyleBox[\"assum\", \"TI\"]. \nRowBox[{\"Refine\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] uses default assumptions specified by any enclosing Assuming constructs. ", - "ReflectionMatrix":"RowBox[{\"ReflectionMatrix\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives the matrix that represents reflection of points in a mirror normal to the vector StyleBox[\"v\", \"TI\"].", - "ReflectionTransform":"RowBox[{\"ReflectionTransform\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives a TransformationFunction that represents a reflection in a mirror through the origin, normal to the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"ReflectionTransform\", \"[\", RowBox[{StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a reflection in a mirror through the point StyleBox[\"p\", \"TI\"], normal to the vector StyleBox[\"v\", \"TI\"].", - "Refresh":"RowBox[{\"Refresh\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] represents an object whose value in a Dynamic should be refreshed at times specified by the options StyleBox[\"opts\", \"TI\"]. \nRowBox[{\"Refresh\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"None\"}], \"]\"}] specifies that the value of StyleBox[\"expr\", \"TI\"] should never automatically be refreshed. ", - "RefreshRate":"RefreshRate is an option to Animate and related functions which specifies the refresh rate for frames in animations.", - "Region":"RowBox[{\"Region\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] represents a geometric region.\nRowBox[{\"Region\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives a region that uses the specified options.", - "RegionBinarize":"RowBox[{\"RegionBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives a binary version of StyleBox[\"image\", \"TI\"] that includes the foreground pixels of StyleBox[\"marker\", \"TI\"] and also connected regions whose pixel values are within a distance StyleBox[\"d\", \"TI\"].\nRowBox[{\"RegionBinarize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] grows regions in StyleBox[\"marker\", \"TI\"] by adding pixels whose average intensity is also constrained within an interval RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}].", - "RegionBoundary":"RowBox[{\"RegionBoundary\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] represents the boundary of the region StyleBox[\"reg\", \"TI\"].", - "RegionBounds":"RowBox[{\"RegionBounds\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the bounds for the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionBounds\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives region bounds of the specified \"\nStyleBox[\"type\", \"TI\"]\". ", - "RegionCentroid":"RowBox[{\"RegionCentroid\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the centroid of the region StyleBox[\"reg\", \"TI\"].", - "RegionDifference":"RowBox[{\"RegionDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the difference of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "RegionDimension":"RowBox[{\"RegionDimension\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the geometric dimension of the region StyleBox[\"reg\", \"TI\"]. ", - "RegionDisjoint":"RowBox[{\"RegionDisjoint\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]] are disjoint. \nRowBox[{\"RegionDisjoint\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], StyleBox[\"…\", \"TR\"] are pairwise disjoint.", - "RegionDistance":"RowBox[{\"RegionDistance\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the minimum distance from the point StyleBox[\"p\", \"TI\"] to the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionDistance\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a RowBox[{\"RegionDistanceFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different points.", - "RegionDistanceFunction":"RowBox[{RowBox[{\"RegionDistanceFunction\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] represents a function whose values give the distance from a point to the region StyleBox[\"reg\", \"TI\"].", - "RegionEmbeddingDimension":"RowBox[{\"RegionEmbeddingDimension\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the dimension of the space in which the region StyleBox[\"reg\", \"TI\"] is embedded. ", - "RegionEqual":"RowBox[{\"RegionEqual\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"RegionEqual\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns True if the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"3\", \"TR\"]], StyleBox[\"…\", \"TR\"] are all equal.", - "RegionFunction":"RegionFunction is an option for plotting functions that specifies the region to include in the plot drawn. ", - "RegionImage":"RowBox[{\"RegionImage\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] returns a rasterized grayscale 2D or 3D image of StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionImage\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] restricts to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", StyleBox[\"min\", FontSlant -> \"Italic\"]], \",\", SubscriptBox[\"x\", StyleBox[\"max\", FontSlant -> \"Italic\"]]}], \"]\"}], \"×\", \"⋯\"}].", - "RegionIntersection":"RowBox[{\"RegionIntersection\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the intersection of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "RegionMeasure":"RowBox[{\"RegionMeasure\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the measure of the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionMeasure\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"d\", \"TI\"]-dimensional measure of the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionMeasure\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-measure of the parametric formula whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"RegionMeasure\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"k\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", - "RegionMember":"RowBox[{\"RegionMember\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives True if the numeric point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] is a member of the constant region StyleBox[\"reg\", \"TI\"] and False otherwise.\nRowBox[{\"RegionMember\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives conditions for the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] to be a member of StyleBox[\"reg\", \"TI\"].\nRowBox[{\"RegionMember\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] returns a RowBox[{\"RegionMemberFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different points. ", - "RegionMemberFunction":"RowBox[{RowBox[{\"RegionMemberFunction\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] represents a function whose values give whether a point is in a region StyleBox[\"reg\", \"TI\"] or not.", - "RegionMoment":"RowBox[{\"RegionMoment\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] computes the polynomial moment RowBox[{SubscriptBox[\"∫\", RowBox[{\"x\", \"∈\", \"reg\"}]], RowBox[{SubsuperscriptBox[\"x\", \"1\", SubscriptBox[\"i\", \"1\"]], \" \", SubsuperscriptBox[\"x\", \"2\", SubscriptBox[\"i\", \"2\"]], \" \", \"⋯\", \" \", SubsuperscriptBox[\"x\", \"n\", SubscriptBox[\"i\", \"n\"]]}]}] for the region StyleBox[\"reg\", \"TI\"].", - "RegionNearest":"RowBox[{\"RegionNearest\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a point in the region StyleBox[\"reg\", \"TI\"] that is nearest the point StyleBox[\"p\", \"TI\"]. \nRowBox[{\"RegionNearest\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a RowBox[{\"RegionNearestFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be repeatedly applied to points. ", - "RegionNearestFunction":"RowBox[{RowBox[{\"RegionNearestFunction\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \" \"}] represents a function whose values give the nearest point in the region StyleBox[\"reg\", \"TI\"].", - "RegionPlot":"RowBox[{\"RegionPlot\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a plot showing the region in which StyleBox[\"pred\", \"TI\"] is True. ", - "RegionPlot3D":"RowBox[{\"RegionPlot3D\", \"[\", RowBox[{StyleBox[\"pred\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes a plot showing the three-dimensional region in which StyleBox[\"pred\", \"TI\"] is True. ", - "RegionProduct":"RowBox[{\"RegionProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] represents the Cartesian product of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"RegionProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the Cartesian product of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "RegionQ":"RowBox[{\"RegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if StyleBox[\"reg\", \"TI\"] is a valid region and False otherwise. ", - "RegionResize":"RowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] resize the region StyleBox[\"reg\", \"TI\"] to have the first side length StyleBox[\"l\", \"TI\"] preserving side length ratios. \nRowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"}\"}]}], \"]\"}] resize into a box with maximum side length SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"max\", \"TI\"]] preserving side length ratios.\nRowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resize into a box with side lengths SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"RegionResize\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"min\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"max\"}], \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"min\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"max\"}], \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] resize into a box with corners RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"min\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"min\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"max\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"max\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "RegionSize":"RegionSize is an option used by Printout3D to specify the overall size of an object to print for a region.", - "RegionSymmetricDifference":"RowBox[{\"RegionSymmetricDifference\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the symmetric difference of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", - "RegionUnion":"RowBox[{\"RegionUnion\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the union of the regions SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "RegionWithin":"RowBox[{\"RegionWithin\", \"[\", RowBox[{SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] returns True if SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"2\", \"TR\"]] is contained within SubscriptBox[StyleBox[\"reg\", \"TI\"], StyleBox[\"1\", \"TR\"]].", - "RegisterExternalEvaluator":"RowBox[{\"RegisterExternalEvaluator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"exec\", \"TI\"]}], \"]\"}] registers the executable StyleBox[\"exec\", \"TI\"] for use as an external evaluator with the language or system StyleBox[\"sys\", \"TI\"].", - "RegularExpression":"RowBox[{\"RegularExpression\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"regex\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the generalized regular expression specified by the string \"\nStyleBox[\"regex\", \"TI\"]\". ", - "Regularization":"Regularization is an option for Sum and Product that specifies what type of regularization to use.", - "RegularlySampledQ":"RowBox[{\"RegularlySampledQ\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] gives True if StyleBox[\"tseries\", \"TI\"] is a regular time series, and False otherwise.", - "RegularPolygon":"RowBox[{\"RegularPolygon\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the regular polygon with StyleBox[\"n\", \"TI\"] vertices equally spaced around the unit circle.\nRowBox[{\"RegularPolygon\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the regular polygon of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"RegularPolygon\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] starts at angle SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"1\", \"TR\"]] with respect to the x axis.\nRowBox[{\"RegularPolygon\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"rspec\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] centers the polygon at RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].", - "ReIm":"RowBox[{\"ReIm\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the list RowBox[{\"{\", RowBox[{RowBox[{\"Re\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}], \",\", RowBox[{\"Im\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \"}\"}] of the number StyleBox[\"z\", \"TI\"].", - "Reinstall":"RowBox[{\"Reinstall\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] un-installs the specified external package and installs it again.", - "RelationGraph":"RowBox[{\"RelationGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]] whenever RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"]\"}] is True.\nRowBox[{\"RelationGraph\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the graph with vertices RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] and edges from SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]] whenever RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"]\"}] is True.", - "ReleaseHold":"RowBox[{\"ReleaseHold\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] removes Hold, HoldForm, HoldPattern, and HoldComplete in StyleBox[\"expr\", \"TI\"]. ", - "ReliabilityDistribution":"RowBox[{\"ReliabilityDistribution\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the reliability distribution for a system with components SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] having reliability distribution SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]], where the whole system is working when the Boolean expression StyleBox[\"bexpr\", \"TI\"] is True, and component SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is working when SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] is True.", - "ReliefImage":"RowBox[{\"ReliefImage\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a relief image of an array of height values. ", - "ReliefPlot":"RowBox[{\"ReliefPlot\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] generates a relief plot of an array of height values. ", - "RemoteAuthorizationCaching":"RemoteAuthorizationCaching is an option for RemoteConnect and related functions that determines whether caching of authorization information on remote hosts should be used.", - "RemoteConnect":"RowBox[{\"RemoteConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] connects to the specified remote host.\nRowBox[{\"RemoteConnect\", \"[\", RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"]\"}] connects to the machine with the specified IP address.\nRowBox[{\"RemoteConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"username\", \"TI\"]}], \"]\"}] connects using the specified username for the remote host.\nRowBox[{\"RemoteConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"username\", \"TI\"], \",\", StyleBox[\"password\", \"TI\"]}], \"]\"}] connects using the specified username and password.", - "RemoteConnectionObject":"RowBox[{\"RemoteConnectionObject\", \"[\", \"…\", \"]\"}] is an object that represents a remote connection.", - "RemoteRun":"RowBox[{\"RemoteRun\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the specified operating system command on the remote host, returning the exit code obtained.\nRowBox[{\"RemoteRun\", \"[\", RowBox[{RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the command on the machine with the specified IP address.\nRowBox[{\"RemoteRun\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] run the command on the remote host specified by the RemoteConnectionObject StyleBox[\"obj\", \"TI\"].", - "RemoteRunProcess":"RowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the specified system command on the remote host, returning information on the outcome.\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{RowBox[{\"IPAddress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"address\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] runs the command on the machine with the specified IP address.\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] run the command on the remote host specified by the RemoteConnectionObject StyleBox[\"obj\", \"TI\"].\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] runs the specified command, with command-line arguments SubscriptBox[StyleBox[\"arg\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", \" \", StyleBox[\"command\", \"TI\"], \",\", StyleBox[StyleBox[\"\\\"prop\\\"\",ShowStringCharacters->True], \"TI\"]}], \"]\"}] returns only the specified property.\nRowBox[{\"RemoteRunProcess\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"host\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", \" \", StyleBox[\"command\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"input\", \"TI\"]}], \"]\"}] feeds the specified initial input to the command.", - "Remove":"RowBox[{\"Remove\", \"[\", RowBox[{SubscriptBox[StyleBox[\"symbol\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] removes symbols completely, so that their names are no longer recognized by StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"]. \nRowBox[{\"Remove\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] removes all symbols whose names match any of the string patterns SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "RemoveAlphaChannel":"RowBox[{\"RemoveAlphaChannel\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] removes all opacity information from StyleBox[\"image\", \"TI\"].\nRowBox[{\"RemoveAlphaChannel\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] removes opacity by blending all pixels with the background color StyleBox[\"c\", \"TI\"].", - "RemoveAsynchronousTask":"RowBox[{\"RemoveAsynchronousTask\", \"[\", StyleBox[\"asyncTask\", \"TI\"], \"]\"}] stops asynchronous evaluations and removes StyleBox[\"asyncTask\", \"TI\"] from the system.", - "RemoveAudioStream":"RowBox[{\"RemoveAudioStream\", \"[\", \"]\"}] deletes all AudioStream objects.\nRowBox[{\"RemoveAudioStream\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] deletes the AudioStream object StyleBox[\"stream\", \"TI\"].\nRowBox[{\"RemoveAudioStream\", \"[\", StyleBox[\"audio\", \"TI\"], \"]\"}] deletes all the AudioStream objects stemming from StyleBox[\"audio\", \"TI\"].", - "RemoveBackground":"RowBox[{\"RemoveBackground\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] returns an image with an alpha channel where the background is transparent. \nRowBox[{\"RemoveBackground\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] uses foreground or background StyleBox[\"model\", \"TI\"] specification.", - "RemoveChannelListener":"RowBox[{\"RemoveChannelListener\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] removes StyleBox[\"obj\", \"TI\"] from the list of currently active channel listeners.\nRowBox[{\"RemoveChannelListener\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] removes all the SubscriptBox[StyleBox[\"obj\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RemoveChannelListener\", \"[\", \"]\"}] removes all currently active channel listeners.", - "Removed":"RowBox[{\"Removed\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is printed to indicate a symbol that has been removed.", - "RemoveDiacritics":"RowBox[{\"RemoveDiacritics\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] replaces characters in StyleBox[\"string\", \"TI\"] that have diacritics by their base ASCII characters, when possible.", - "RemoveInputStreamMethod":"RowBox[{\"RemoveInputStreamMethod\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] removes a custom input stream method.", - "RemoveOutputStreamMethod":"RowBox[{\"RemoveOutputStreamMethod\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] removes a custom output stream method.", - "RemoveProperty":"RowBox[{\"RemoveProperty\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \"]\"}] removes all properties associated with StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].\nRowBox[{\"RemoveProperty\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"itemspec\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] removes the property StyleBox[\"name\", \"TI\"] associated with StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].", - "RemoveScheduledTask":"RowBox[{\"RemoveScheduledTask\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] removes StyleBox[\"obj\", \"TI\"] from the list of currently scheduled local or cloud tasks.", - "RemoveUsers":"RowBox[{\"RemoveUsers\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] removes the users SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the permissions group StyleBox[\"group\", \"TI\"].", - "RenameDirectory":"RowBox[{\"RenameDirectory\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] renames the directory SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "RenameFile":"RowBox[{\"RenameFile\", \"[\", RowBox[{SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] renames SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"file\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "RenderAll":"RenderAll is an option for Graphics3D that specifies whether or not PostScript should be generated for StyleBox[\"all\", \"TI\"] polygons. ", - "RenderingOptions":"RenderingOptions is an option for Style, Cell and related constructs that specifies options related to rendering.", - "RenewalProcess":"RowBox[{\"RenewalProcess\", \"[\", StyleBox[\"rdist\", \"TI\"], \"]\"}] represents a renewal process with interarrival times distributed according to StyleBox[\"rdist\", \"TI\"].", - "RenkoChart":"RowBox[{\"RenkoChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a Renko chart with prices SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] at date SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"RenkoChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], \"}\"}], \"]\"}] makes a Renko chart of closing prices for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the date range StyleBox[\"daterange\", \"TI\"].\nRowBox[{\"RenkoChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] makes a Renko chart with brick height of fraction StyleBox[\"s\", \"TI\"] of the average price.", - "RepairMesh":"RowBox[{\"RepairMesh\", \"[\", StyleBox[\"mreg\", \"TI\"], \"]\"}] repairs defects in the mesh region StyleBox[\"mreg\", \"TI\"].\nRowBox[{\"RepairMesh\", \"[\", RowBox[{StyleBox[\"mreg\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] repairs only the specified defects RowBox[{SubscriptBox[StyleBox[\"def\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}].", - "Repeated":"RowBox[{StyleBox[\"p\", \"TI\"], \"..\"}] or RowBox[{\"Repeated\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that represents a sequence of one or more expressions, each matching StyleBox[\"p\", \"TI\"]. \nRowBox[{\"Repeated\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents from 1 to StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].\nRowBox[{\"Repeated\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].\nRowBox[{\"Repeated\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] represents exactly StyleBox[\"n\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].", - "RepeatedNull":"RowBox[{StyleBox[\"p\", \"TI\"], \"...\"}] or RowBox[{\"RepeatedNull\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that represents a sequence of zero or more expressions, each matching StyleBox[\"p\", \"TI\"]. \nRowBox[{\"RepeatedNull\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents from 0 to StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].\nRowBox[{\"RepeatedNull\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] expressions matching StyleBox[\"p\", \"TI\"].", - "RepeatedString":"RepeatedString is an internal symbol used for formatting and printing.", - "RepeatedTiming":"RowBox[{\"RepeatedTiming\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] repeatedly and returns a list of the average time in seconds used, together with the result obtained.\nRowBox[{\"RepeatedTiming\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] does repeated evaluation for at least StyleBox[\"t\", \"TI\"] seconds. ", - "RepeatingElement":"RowBox[{\"RepeatingElement\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents an arbitrarily repeated type of element in an interpreter, API or form specification.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents an element that can appear at most StyleBox[\"max\", \"TI\"] times.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents an element that can appear between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] times.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents an element that initially appears StyleBox[\"n\", \"TI\"] times in a form.\nRowBox[{\"RepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] represents an element where StyleBox[\"i\", \"TI\"] takes successive values.", - "Replace":"RowBox[{\"Replace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] applies a rule or list of rules in an attempt to transform the entire expression StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Replace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies rules to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Replace\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of Replace that can be applied to an expression.", - "ReplaceAll":"RowBox[{StyleBox[\"expr\", \"TI\"], \"\/.\", StyleBox[\"rules\", \"TI\"]}] applies a rule or list of rules in an attempt to transform each subpart of an expression StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"ReplaceAll\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of ReplaceAll that can be applied to an expression.", - "ReplaceImageValue":"RowBox[{\"ReplaceImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"pos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] changes the pixel values at position StyleBox[\"pos\", \"TI\"] in StyleBox[\"image\", \"TI\"] to StyleBox[\"val\", \"TI\"].\nRowBox[{\"ReplaceImageValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"pos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] assumes StyleBox[\"val\", \"TI\"] to be of the specified type.", - "ReplaceList":"RowBox[{\"ReplaceList\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] attempts to transform the entire expression StyleBox[\"expr\", \"TI\"] by applying a rule or list of rules in all possible ways, and returns a list of the results obtained. \nRowBox[{\"ReplaceList\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of at most StyleBox[\"n\", \"TI\"] results. \nRowBox[{\"ReplaceList\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] is an operator form of ReplaceList that can be applied to an expression.", - "ReplacePart":"RowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] yields an expression in which the StyleBox[RowBox[{StyleBox[\"i\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] part of StyleBox[\"expr\", \"TI\"] is replaced by StyleBox[\"new\", \"TI\"]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces parts at positions SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]] by SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces the part at position RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces parts at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] by SubscriptBox[StyleBox[\"new\", \"TI\"], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"ReplacePart\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"new\", \"TI\"]}]}], \"]\"}] replaces all parts at positions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] by StyleBox[\"new\", \"TI\"]. \nRowBox[{\"ReplacePart\", \"[\", StyleBox[RowBox[{\"i\", StyleBox[\"\", FontSlant -> \"Plain\"], \"new\"}], \"TI\"], \"]\"}] represents an operator form of ReplacePart that can be applied to an expression.", - "ReplacePixelValue":"RowBox[{\"ReplacePixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"ppos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] changes the pixel values at pixel position StyleBox[\"ppos\", \"TI\"] in StyleBox[\"image\", \"TI\"] to StyleBox[\"val\", \"TI\"].\nRowBox[{\"ReplacePixelValue\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", RowBox[{StyleBox[\"ppos\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] assumes StyleBox[\"val\", \"TI\"] to be of the specified type.", - "ReplaceRepeated":"RowBox[{StyleBox[\"expr\", \"TI\"], \"\/\/.\", StyleBox[\"rules\", \"TI\"]}] repeatedly performs replacements until StyleBox[\"expr\", \"TI\"] no longer changes. \nRowBox[{\"ReplaceRepeated\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of ReplaceRepeated that can be applied to an expression.", - "ReplicateLayer":"RowBox[{\"ReplicateLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that takes an input of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and replicates it StyleBox[\"n\", \"TI\"] times to produce an output of dimensions RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"ReplicateLayer\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \"]\"}] represents a net layer that takes an input of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and replicates it to produce an output of dimensions RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"m\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"ReplicateLayer\", \"[\", RowBox[{StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] replicates so that StyleBox[\"dims\", \"TI\"] appears at position StyleBox[\"m\", \"TI\"] in the list of output dimensions. ", - "RequiredPhysicalQuantities":"RequiredPhysicalQuantities is an option for FormulaLookup that specifies physical quantities that must be used by the formulas returned.", - "Resampling":"Resampling is an option that specifies the method to be used for resampling images or arrays.", - "ResamplingAlgorithmData":"RowBox[{\"ResamplingAlgorithmData\", \"[\", RowBox[{StyleBox[\"rs\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property \"\nStyleBox[\"prop\", \"TI\"]\" for the resampling StyleBox[\"rs\", \"TI\"].", - "ResamplingMethod":"ResamplingMethod is an option for functions such as TemporalData and MovingMap that specifies how values in between given times should be computed.", - "Rescale":"RowBox[{\"Rescale\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] gives StyleBox[\"x\", \"TI\"] rescaled to run from 0 to 1 over the range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"]. \nRowBox[{\"Rescale\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives StyleBox[\"x\", \"TI\"] rescaled to run from SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]] over the range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"]. \nRowBox[{\"Rescale\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] rescales each element of StyleBox[\"list\", \"TI\"] to run from 0 to 1 over the range RowBox[{\"Min\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] to RowBox[{\"Max\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}]. ", - "RescalingTransform":"RowBox[{\"RescalingTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a TransformationFunction that rescales the region with coordinate ranges SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc. to the region with coordinate ranges SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"xp\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc.\nRowBox[{\"RescalingTransform\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a TransformationFunction that rescales to the unit square, cube, etc.", - "ResetDirectory":"RowBox[{\"ResetDirectory\", \"[\", \"]\"}] resets the current working directory to its previous value. ", - "ResetScheduledTask":"RowBox[{RowBox[{\"ResetScheduledTask\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}], \" \"}] resets the timing for a scheduled task to StyleBox[\"timespec\", \"TI\"].\nRowBox[{\"ResetScheduledTask\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] resets the time offset for a scheduled task to StyleBox[\"offset\", \"TI\"].", - "ReshapeLayer":"RowBox[{\"ReshapeLayer\", \"[\", StyleBox[\"dims\", \"TI\"], \"]\"}] represents a net layer that reinterprets the input to be an array of dimensions StyleBox[\"dims\", \"TI\"].", - "Residue":"RowBox[{\"Residue\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] finds the residue of StyleBox[\"expr\", \"TI\"] at the point RowBox[{StyleBox[\"z\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"0\", \"TR\"]]}]. ", - "ResizeLayer":"RowBox[{\"ResizeLayer\", \"[\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}], \"]\"}] resizes a matrix of size RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] to be size RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", StyleBox[\"n\", \"TI\"]}].\nRowBox[{\"ResizeLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] resizes a tensor of dimensions RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] to be size RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].", - "Resolve":"RowBox[{\"Resolve\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] attempts to resolve StyleBox[\"expr\", \"TI\"] into a form that eliminates ForAll and Exists quantifiers. \nRowBox[{\"Resolve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] works over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Complexes, Reals, and Booleans. ", - "ResourceData":"RowBox[{\"ResourceData\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] gives the primary content of the specified resource.\nRowBox[{\"ResourceData\", \"[\", RowBox[{StyleBox[\"resource\", \"TI\"], \",\", StyleBox[\"elem\", \"TI\"]}], \"]\"}] gives element StyleBox[\"elem\", \"TI\"] of the content of the resource. ", - "ResourceObject":"RowBox[{\"ResourceObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a resource with the specified name.\nRowBox[{\"ResourceObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"uuid\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a resource with the specified UUID.\nRowBox[{\"ResourceObject\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] gives a resource with content and metadata specified by the association StyleBox[\"assoc\", \"TI\"].", - "ResourceRegister":"RowBox[{\"ResourceRegister\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] creates a persistent cache of a resource object that can be referenced by name.\nRowBox[{\"ResourceRegister\", \"[\", StyleBox[RowBox[{\"resource\", \",\", \" \", \"loc\"}], \"TI\"], \"]\"}] stores the resource in persistence location StyleBox[\"loc\", \"TI\"].\nRowBox[{\"ResourceRegister\", \"[\", RowBox[{StyleBox[\"resource\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\" \", \"TI\"], RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \"…\"}], \"}\"}]}], \"]\"}] stores the resource in multiple persistence locations.", - "ResourceRemove":"RowBox[{\"ResourceRemove\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] removes the specified resource from the system on which it is run.", - "ResourceSearch":"RowBox[{\"ResourceSearch\", \"[\", StyleBox[\"keywords\", \"TI\"], \"]\"}] gives a list of resources in local and cloud resource systems whose descriptions include the given keywords.\nRowBox[{\"ResourceSearch\", \"[\", RowBox[{StyleBox[\"keywords\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns up to StyleBox[\"n\", \"TI\"] results.", - "ResourceSubmit":"RowBox[{\"ResourceSubmit\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] submits the specified resource object to be reviewed for publication.\nRowBox[{\"ResourceSubmit\", \"[\", RowBox[{StyleBox[\"new\", \"TI\"], \",\", StyleBox[\"old\", \"TI\"]}], \"]\"}] submits the resource StyleBox[\"new\", \"TI\"] as the updated version of the resource StyleBox[\"old\", \"TI\"].", - "ResourceUpdate":"RowBox[{\"ResourceUpdate\", \"[\", StyleBox[\"resource\", \"TI\"], \"]\"}] updates to the latest version of the specified resource object.\nRowBox[{\"ResourceUpdate\", \"[\", StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"]\"}] updates the resource with the specified name.", - "ResponseForm":"RowBox[{\"ResponseForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents a response record to be given in a specified format when requested during the execution of a function specified by APIFunction, FormFunction, etc.\nRowBox[{\"ResponseForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"fmt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] includes only the response record elements SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Rest":"RowBox[{\"Rest\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives StyleBox[\"expr\", \"TI\"] with the first element removed. ", - "RestartInterval":"RestartInterval is an option controlling the restart behavior of functions such as ContinuousTask.", - "Restricted":"RowBox[{\"Restricted\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"cond\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a form for Interpreter and related functions restricted according to the conditions StyleBox[\"cond\", \"TI\"].", - "Resultant":"RowBox[{\"Resultant\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] computes the resultant of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"]. \nRowBox[{\"Resultant\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the resultant modulo the prime StyleBox[\"p\", \"TI\"]. ", - "ResumePacket":"RowBox[{\"ResumePacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet used for synchronization with the StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel.", - "Return":"RowBox[{\"Return\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns the value StyleBox[\"expr\", \"TI\"] from a function. \nRowBox[{\"Return\", \"[\", \"]\"}] returns the value Null. ", - "ReturnExpressionPacket":"RowBox[{\"ReturnExpressionPacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains the expression StyleBox[\"expr\", \"TI\"], the result of an EnterExpressionPacket evaluation.", - "ReturnInputFormPacket":"ReturnInputFormPacket is an internal symbol used for formatting.", - "ReturnPacket":"RowBox[{\"ReturnPacket\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet that contains the expression StyleBox[\"expr\", \"TI\"], the result of an EvaluatePacket evaluation.", - "ReturnReceiptFunction":"ReturnReceiptFunction is an option for MailReceiverFunction that specifies what function to apply if a return receipt is requested for mail received by a MailReceiverFunction.", - "ReturnTextPacket":"RowBox[{\"ReturnTextPacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet containing StyleBox[\"string\", \"TI\"], the result of an EnterTextPacket evaluation.", - "Reverse":"RowBox[{\"Reverse\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] reverses the order of the elements in StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Reverse\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] reverses elements at level StyleBox[\"n\", \"TI\"] in StyleBox[\"expr\", \"TI\"].\nRowBox[{\"Reverse\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] reverses elements at levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], … in StyleBox[\"expr\", \"TI\"].", - "ReverseBiorthogonalSplineWavelet":"RowBox[{\"ReverseBiorthogonalSplineWavelet\", \"[\", \"]\"}] represents a reverse biorthogonal spline wavelet of order 4 and dual order 2.\nRowBox[{\"ReverseBiorthogonalSplineWavelet\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a reverse biorthogonal spline wavelet of order StyleBox[\"n\", \"TI\"] and dual order StyleBox[\"m\", \"TI\"].", - "ReverseElement":"RowBox[{\"ReverseElement\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∋\", StyleBox[\"y\", \"TI\"], \"∋\", \"…\"}].", - "ReverseEquilibrium":"RowBox[{\"ReverseEquilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇋\", \"y\", \"⇋\", \"…\"}].", - "ReverseGraph":"RowBox[{\"ReverseGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the reverse graph of the directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"ReverseGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "ReverseSort":"RowBox[{\"ReverseSort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into reverse canonical order. \nRowBox[{\"ReverseSort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] sorts using the ordering function StyleBox[\"p\", \"TI\"]. ", - "ReverseUpEquilibrium":"RowBox[{\"ReverseUpEquilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥯\", \"y\", \"⥯\", \"…\"}].", - "RevolutionAxis":"RevolutionAxis is an option for RevolutionPlot3D which specifies the revolution axis around which the curve should be rotated. ", - "RevolutionPlot3D":"RowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the surface of revolution with height SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]] at radius StyleBox[\"t\", \"TI\"].\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the azimuthal angle StyleBox[\"θ\", \"TR\"] to vary between SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a plot of the surface obtained by rotating the parametric curve with StyleBox[\"x\", \"TI\"], StyleBox[\"z\", \"TI\"] coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}] around the StyleBox[\"z\", \"TI\"] axis.\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the azimuthal angle StyleBox[\"θ\", \"TR\"] to vary from SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"RevolutionPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{StyleBox[\"{\", \"TR\"], RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the surface obtained by rotating the parametric curve with StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"] coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}].", - "RGBColor":"RowBox[{\"RGBColor\", \"[\", RowBox[{StyleBox[\"red\", \"TI\"], \",\", StyleBox[\"green\", \"TI\"], \",\", StyleBox[\"blue\", \"TI\"]}], \"]\"}] is a graphics directive specifying that objects that follow are to be displayed in the color given. \nRowBox[{\"RGBColor\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] specifies opacity StyleBox[\"a\", \"TI\"]. \nRowBox[{\"RGBColor\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] evaluates to a normal RGBColor object.", - "RiccatiSolve":"RowBox[{\"RiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the matrix StyleBox[\"x\", \"TI\"] that is the stabilizing solution of the continuous algebraic Riccati equation RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"], \".\", SuperscriptBox[\"r\", RowBox[{\"-\", \"1\"}]], \".\", SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}].\nRowBox[{\"RiccatiSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"}\"}]}], \"]\"}] solves the equation RowBox[{RowBox[{RowBox[{SuperscriptBox[\"a\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"a\", \"TI\"]}], \"-\", RowBox[{RowBox[{\"(\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \".\", StyleBox[\"b\", \"TI\"]}], \"+\", StyleBox[\"p\", \"TI\"]}], \")\"}], \".\", SuperscriptBox[\"r\", RowBox[{\"-\", \"1\"}]], \".\", RowBox[{\"(\", RowBox[{RowBox[{SuperscriptBox[\"b\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}], \".\", StyleBox[\"x\", \"TI\"]}], \"+\", SuperscriptBox[\"p\", StyleBox[\"†\", FontFamily -> \"Helvetica\", SingleLetterItalics -> False], BaseStyle -> {ScriptSizeMultipliers -> {0.6}, ScriptMinSize -> 1}]}], \")\"}]}], \"+\", StyleBox[\"q\", \"TI\"]}], \"\", \"0\"}]. ", - "RiceDistribution":"RowBox[{\"RiceDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Rice distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].\nRowBox[{\"RiceDistribution\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Norton–Rice distribution with parameters StyleBox[\"m\", \"TI\"], StyleBox[\"α\", \"TR\"], and StyleBox[\"β\", \"TR\"].", - "RidgeFilter":"RowBox[{\"RidgeFilter\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] computes a measure for the presence of a ridge at every position of StyleBox[\"data\", \"TI\"].\nRowBox[{\"RidgeFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] uses the specified ridge scale StyleBox[\"σ\", \"TR\"].", - "RiemannR":"RowBox[{\"RiemannR\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the Riemann prime counting function RowBox[{StyleBox[\"R\", \"TI\"], \"(\", StyleBox[\"x\", \"TI\"], \")\"}].", - "RiemannSiegelTheta":"RowBox[{\"RiemannSiegelTheta\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Riemann–Siegel function RowBox[{\"ϑ\", \"(\", \"t\", \")\"}]. ", - "RiemannSiegelZ":"RowBox[{\"RiemannSiegelZ\", \"[\", StyleBox[\"t\", \"TI\"], \"]\"}] gives the Riemann–Siegel function RowBox[{StyleBox[\"Z\", \"TI\"], \"(\", StyleBox[\"t\", \"TI\"], \")\"}]. ", - "RiemannXi":"RowBox[{\"RiemannXi\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Riemann xi function RowBox[{\"ξ\", \"(\", StyleBox[\"s\", \"TI\"], \")\"}].", - "Riffle":"RowBox[{\"Riffle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Riffle\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Riffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] yields a list in which every StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] element is StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Riffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] yields a list in which StyleBox[\"x\", \"TI\"] appears if possible at positions SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], RowBox[{Cell[BoxData[SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]], \"InlineFormula\"], \"+\", StyleBox[\"n\", \"TI\"]}], RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"+\", RowBox[{\"2\", StyleBox[\"n\", \"TI\"]}]}], … , SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]. ", - "Right":"Right is a symbol that represents the right-hand side for purposes of alignment and positioning. ", - "RightArrow":"RowBox[{\"RightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"→\", \"y\", \"→\", \"…\"}].", - "RightArrowBar":"RowBox[{\"RightArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇥\", \"y\", \"⇥\", \"…\"}].", - "RightArrowLeftArrow":"RowBox[{\"RightArrowLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇄\", \"y\", \"⇄\", \"…\"}].", - "RightComposition":"RowBox[{\"RightComposition\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a composition on the right of the functions SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"3\", \"TR\"]], …. ", - "RightCosetRepresentative":"RowBox[{\"RightCosetRepresentative\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"]\"}] returns the smallest element in the right coset of products of the elements of StyleBox[\"group\", \"TI\"] by StyleBox[\"g\", \"TI\"].", - "RightDownTeeVector":"RowBox[{\"RightDownTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥝\", \"y\", \"⥝\", \"…\"}].", - "RightDownVector":"RowBox[{\"RightDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇂\", StyleBox[\"y\", \"TI\"], \"⇂\", \"…\"}].", - "RightDownVectorBar":"RowBox[{\"RightDownVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥕\", StyleBox[\"y\", \"TI\"], \"⥕\", \"…\"}].", - "RightTee":"RowBox[{\"RightTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊢\", \"y\"}].", - "RightTeeArrow":"RowBox[{\"RightTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↦\", StyleBox[\"y\", \"TI\"], \"↦\", \"…\"}].", - "RightTeeVector":"RowBox[{\"RightTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥛\", StyleBox[\"y\", \"TI\"], \"⥛\", \"…\"}].", - "RightTriangle":"RowBox[{\"RightTriangle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊳\", \"y\", \"⊳\", \"…\"}].", - "RightTriangleBar":"RowBox[{\"RightTriangleBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⧐\", \"y\", \"⧐\", \"…\"}].", - "RightTriangleEqual":"RowBox[{\"RightTriangleEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊵\", \"y\", \"⊵\", \"…\"}].", - "RightUpDownVector":"RowBox[{\"RightUpDownVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥏\", \"y\", \"⥏\", \"…\"}].", - "RightUpTeeVector":"RowBox[{\"RightUpTeeVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥜\", \"y\", \"⥜\", \"…\"}].", - "RightUpVector":"RowBox[{\"RightUpVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"↾\", \"y\", \"↾\", \"…\"}].", - "RightUpVectorBar":"RowBox[{\"RightUpVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥔\", \"y\", \"⥔\", \"…\"}].", - "RightVector":"RowBox[{\"RightVector\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⇀\", \"y\", \"⇀\", \"…\"}].", - "RightVectorBar":"RowBox[{\"RightVectorBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{\"x\", \"⥓\", \"y\", \"⥓\", \"…\"}].", - "RiskAchievementImportance":"RowBox[{\"RiskAchievementImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk achievement importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"RiskAchievementImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk achievement importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", - "RiskReductionImportance":"RowBox[{\"RiskReductionImportance\", \"[\", RowBox[{StyleBox[\"rdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk reduction importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"RiskReductionImportance\", \"[\", RowBox[{StyleBox[\"fdist\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the risk reduction importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"] at time StyleBox[\"t\", \"TI\"].", - "RogersTanimotoDissimilarity":"RowBox[{\"RogersTanimotoDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Rogers–Tanimoto dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "RollPitchYawAngles":"RowBox[{\"RollPitchYawAngles\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives the roll-pitch-yaw angles RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}] corresponding to the rotation matrix StyleBox[\"r\", \"TI\"].\nRowBox[{\"RollPitchYawAngles\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the roll-pitch-yaw angles RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}] corresponding to rotation order RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}].", - "RollPitchYawMatrix":"RowBox[{\"RollPitchYawMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \"]\"}] gives the 3D rotation matrix formed by rotating by StyleBox[\"α\", \"TR\"] around the initial z axis, then by StyleBox[\"β\", \"TR\"] around the initial y axis, and then by StyleBox[\"γ\", \"TR\"] around the initial x axis. \nRowBox[{\"RollPitchYawMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the 3D rotation matrix formed by rotating by StyleBox[\"α\", \"TR\"] around the fixed StyleBox[\"a\", \"TI\"] axis, then by StyleBox[\"β\", \"TR\"] around the fixed StyleBox[\"b\", \"TI\"] axis, and then by StyleBox[\"γ\", \"TR\"] around the fixed StyleBox[\"c\", \"TI\"] axis. ", - "RomanNumeral":"RowBox[{\"RomanNumeral\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a string corresponding to the Roman numeral form of the integer StyleBox[\"n\", \"TI\"].", - "Root":"RowBox[{\"Root\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the exact StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] root of the polynomial equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}]. \nRowBox[{\"Root\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents the last coordinate of the exact vector RowBox[{StyleBox[\"{\", \"TR\"], RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}] such that SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] is the SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] root of the polynomial equation RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[RowBox[{\"i\", \"-\", StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}].\nRowBox[{\"Root\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \"]\"}] represents the exact root of the general equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}] near RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].\nRowBox[{\"Root\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}], \"]\"}] represents StyleBox[\"n\", \"TI\"] roots of the equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"\", StyleBox[\"0\", \"TR\"]}] near RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}].", - "RootApproximant":"RowBox[{\"RootApproximant\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] converts the number StyleBox[\"x\", \"TI\"] to one of the \"simplest\" algebraic numbers that approximates it well.\nRowBox[{\"RootApproximant\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds an algebraic number of degree at most StyleBox[\"n\", \"TI\"] that approximates StyleBox[\"x\", \"TI\"].", - "RootIntervals":"RowBox[{\"RootIntervals\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of isolating intervals for the real roots of any of the SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"i\", \"TI\"]], together with a list of which polynomials actually have each successive root.\nRowBox[{\"RootIntervals\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives isolating intervals for real roots of a single polynomial. \nRowBox[{\"RootIntervals\", \"[\", RowBox[{StyleBox[\"polys\", \"TI\"], \",\", \"Complexes\"}], \"]\"}] gives bounding rectangles for complex roots.", - "RootLocusPlot":"RowBox[{\"RootLocusPlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a root locus plot of a linear time-invariant system StyleBox[\"lsys\", \"TI\"] as the parameter StyleBox[\"k\", \"TI\"] ranges from SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "RootMeanSquare":"RowBox[{\"RootMeanSquare\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the root mean square of values in StyleBox[\"list\", \"TI\"].\nRowBox[{\"RootMeanSquare\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the root mean square of the distribution StyleBox[\"dist\", \"TI\"].", - "RootOfUnityQ":"RowBox[{\"RootOfUnityQ\", \"[\", StyleBox[\"a\", \"TI\"], \"]\"}] yields True if StyleBox[\"a\", \"TI\"] is a root of unity, and yields False otherwise.", - "RootReduce":"RowBox[{\"RootReduce\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] attempts to reduce StyleBox[\"expr\", \"TI\"] to a single Root object. ", - "Roots":"RowBox[{\"Roots\", \"[\", RowBox[{RowBox[{StyleBox[\"lhs\", \"TI\"], \"==\", StyleBox[\"rhs\", \"TI\"]}], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] yields a disjunction of equations which represent the roots of a polynomial equation. ", - "RootSum":"RowBox[{\"RootSum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] represents the sum of RowBox[{StyleBox[\"form\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] for all StyleBox[\"x\", \"TI\"] that satisfy the polynomial equation RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], StyleBox[\"==\", \"TR\"], StyleBox[\"0\", \"TR\"]}]. ", - "Rotate":"RowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] represents 2D graphics primitives or any other objects StyleBox[\"g\", \"TI\"] rotated counterclockwise by StyleBox[\"θ\", \"TR\"] radians about the center of their bounding box. \nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates about the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]. \nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates around the origin, transforming the 2D or 3D vector StyleBox[\"u\", \"TI\"] to StyleBox[\"v\", \"TI\"].\nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] rotates 3D graphics primitives by StyleBox[\"θ\", \"TR\"] radians around the 3D vector StyleBox[\"w\", \"TI\"] anchored at the origin.\nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] rotates around the 3D vector StyleBox[\"w\", \"TI\"] anchored at StyleBox[\"p\", \"TI\"].\nRowBox[{\"Rotate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] rotates by angle StyleBox[\"θ\", \"TR\"] in the plane spanned by 3D vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "RotateLabel":"RotateLabel is an option for graphics and related functions that specifies whether labels on vertical frame axes should be rotated to be vertical. ", - "RotateLeft":"RowBox[{\"RotateLeft\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the elements in StyleBox[\"expr\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the left. \nRowBox[{\"RotateLeft\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] cycles one position to the left. \nRowBox[{\"RotateLeft\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] cycles elements at successive levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] positions to the left. ", - "RotateRight":"RowBox[{\"RotateRight\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the elements in StyleBox[\"expr\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the right. \nRowBox[{\"RotateRight\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] cycles one position to the right. \nRowBox[{\"RotateRight\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] cycles elements at successive levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] positions to the right. ", - "RotationAction":"RotationAction is an option for three-dimensional graphics functions that specifies how to render 3D objects when they are interactively rotated.", - "RotationBoxOptions":"RowBox[{RotationBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for RotationBox objects.", - "RotationMatrix":"RowBox[{\"RotationMatrix\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives the 2D rotation matrix that rotates 2D vectors counterclockwise by StyleBox[\"θ\", \"TR\"] radians.\nRowBox[{\"RotationMatrix\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives the 3D rotation matrix for a counterclockwise rotation around the 3D vector StyleBox[\"w\", \"TI\"].\nRowBox[{\"RotationMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives the matrix that rotates the vector StyleBox[\"u\", \"TI\"] to the direction of the vector StyleBox[\"v\", \"TI\"] in any dimension.\nRowBox[{\"RotationMatrix\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the matrix that rotates by StyleBox[\"θ\", \"TR\"] radians in the plane spanned by StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "RotationTransform":"RowBox[{\"RotationTransform\", \"[\", StyleBox[\"θ\", \"TR\"], \"]\"}] gives a TransformationFunction that represents a rotation in 2D by StyleBox[\"θ\", \"TR\"] radians about the origin.\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a 2D rotation about the 2D point StyleBox[\"p\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] gives a 3D rotation around the direction of the 3D vector StyleBox[\"w\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a 3D rotation around the axis StyleBox[\"w\", \"TI\"] anchored at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \"]\"}] gives a rotation about the origin that transforms the vector StyleBox[\"u\", \"TI\"] to the direction of the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a rotation about the point StyleBox[\"p\", \"TI\"] that transforms StyleBox[\"u\", \"TI\"] to the direction of StyleBox[\"v\", \"TI\"].\nRowBox[{\"RotationTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a rotation by StyleBox[\"θ\", \"TR\"] radians in the plane spanned by StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "Round":"RowBox[{\"Round\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives the integer closest to StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Round\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] rounds to the nearest multiple of StyleBox[\"a\", \"TI\"]. ", - "RoundingRadius":"RoundingRadius is an option for Rectangle, Framed, and related functions that specifies the radius of the circle to use in rendering rounded corners.", - "Row":"RowBox[{\"Row\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats with the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] arranged in a row, potentially extending over several lines. \nRowBox[{\"Row\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] inserts StyleBox[\"s\", \"TI\"] as a separator between successive elements. ", - "RowAlignments":"RowAlignments is an option for the low-level function GridBox that specifies how entries in each row should be aligned. ", - "RowBox":"RowBox[{RowBox, \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is a low-level box construct that represents a row of boxes or strings in a notebook expression. ", - "RowLines":"RowLines is an option for the low-level function GridBox that specifies whether lines should be drawn between adjacent rows. ", - "RowMinHeight":"RowMinHeight is an option for the low-level function GridBox that specifies the minimum total height in units of font size that should be allowed for each row. ", - "RowReduce":"RowBox[{\"RowReduce\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the row‐reduced form of the matrix StyleBox[\"m\", \"TI\"]. ", - "RowsEqual":"RowsEqual is an option for the low-level function GridBox that specifies whether all rows in the grid should be assigned equal total height. ", - "RowSpacings":"RowSpacings is an option for the low-level function GridBox that specifies the spaces in x heights that should be inserted between successive rows. ", - "RSolve":"RowBox[{\"RSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", RowBox[{StyleBox[\"a\", \"TI\"], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] solves a recurrence equation for RowBox[{StyleBox[\"a\", \"TI\"], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}]. \nRowBox[{\"RSolve\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", StyleBox[\"n\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] solves a system of recurrence equations. \nRowBox[{\"RSolve\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", RowBox[{StyleBox[\"a\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] solves a partial recurrence equation. ", - "RSolveValue":"RowBox[{\"RSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the value of StyleBox[\"expr\", \"TI\"] determined by a symbolic solution to the ordinary difference equation StyleBox[\"eqn\", \"TI\"] with independent variable StyleBox[\"n\", \"TI\"]. \nRowBox[{\"RSolveValue\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eqn\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses a symbolic solution for a list of difference equations. \nRowBox[{\"RSolveValue\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses a solution for the partial recurrence equation StyleBox[\"eqn\", \"TI\"]. ", - "RudinShapiro":"RowBox[{\"RudinShapiro\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term in the Rudin–Shapiro sequence.", - "RudvalisGroupRu":"RowBox[{\"RudvalisGroupRu\", \"[\", \"]\"}] represents the sporadic simple Rudvalis group Ru.", - "Rule":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"->\", StyleBox[\"rhs\", \"TI\"]}] or RowBox[{StyleBox[\"lhs\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}] represents a rule that transforms StyleBox[\"lhs\", \"TI\"] to StyleBox[\"rhs\", \"TI\"]. ", - "RuleCondition":"RuleCondition is an internal symbol.", - "RuleDelayed":"RowBox[{StyleBox[\"lhs\", \"TI\"], \":>\", StyleBox[\"rhs\", \"TI\"]}] or RowBox[{StyleBox[\"lhs\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}] represents a rule that transforms StyleBox[\"lhs\", \"TI\"] to StyleBox[\"rhs\", \"TI\"], evaluating StyleBox[\"rhs\", \"TI\"] only after the rule is used. ", - "RuleForm":"RuleForm is an internal symbol used for formatting and printing.", - "RulePlot":"RowBox[{\"RulePlot\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] generates a plot representing the rule for the computational system StyleBox[\"sys\", \"TI\"].\nRowBox[{\"RulePlot\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a plot of the evolution of the system StyleBox[\"sys\", \"TI\"] from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps.\nRowBox[{\"RulePlot\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"evol\", \"TI\"]}], \"]\"}] generates a plot of the evolution StyleBox[\"evol\", \"TI\"] assuming it is derived from a system of the form StyleBox[\"sys\", \"TI\"].", - "RulerUnits":"RulerUnits is an option for notebooks that specifies the units in the ruler toolbar.", - "Run":"RowBox[{\"Run\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] runs StyleBox[\"command\", \"TI\"] as an external operating system command, returning the exit code obtained.", - "RunProcess":"RunProcess[\"command\"] runs the specified external command, returning information on the outcome.\nRunProcess[{\"command\", arg 1, arg 2, …}] runs the specified command, with command-line arguments arg i.\nRunProcess[command, \"prop\"] returns only the specified property.\nRunProcess[command, prop, input] feeds the specified initial input to the command.", - "RunScheduledTask":"RowBox[{\"RunScheduledTask\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] schedules and starts a local scheduled task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] once per second.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"time\", \"TI\"]}], \"]\"}] schedules and starts a task that will repeatedly evaluate StyleBox[\"expr\", \"TI\"] every StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"time\", \"TI\"], \"}\"}]}], \"]\"}] schedules and starts a task that will evaluate StyleBox[\"expr\", \"TI\"] once after StyleBox[\"time\", \"TI\"] seconds.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"count\", \"TI\"]}], \"}\"}]}], \"]\"}] schedules and starts a task that will try evaluating StyleBox[\"expr\", \"TI\"] once every StyleBox[\"time\", \"TI\"] seconds up to StyleBox[\"count\", \"TI\"] times.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"], \",\", StyleBox[\"start\", \"TI\"]}], \"]\"}] schedules a task that will automatically start at StyleBox[\"start\", \"TI\"] time.\nRowBox[{\"RunScheduledTask\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TI\"], \"]\"}], \"]\"}] asynchronously executes an existing cloud task or document generator.", - "RunThrough":"RowBox[{\"RunThrough\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"command\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] executes an external command, giving the printed form of StyleBox[\"expr\", \"TI\"] as input and taking the output, reading it as StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] input, and returning the result. ", - "RuntimeAttributes":"RuntimeAttributes is an option for Compile that specifies attributes for the compiled function it creates.", - "RuntimeOptions":"RuntimeOptions is an option for Compile that specifies runtime settings for the compiled function it creates.", - "RussellRaoDissimilarity":"RowBox[{\"RussellRaoDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Russell–Rao dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "SameQ":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"===\", StyleBox[\"rhs\", \"TI\"]}] yields True if the expression StyleBox[\"lhs\", \"TI\"] is identical to StyleBox[\"rhs\", \"TI\"], and yields False otherwise. ", - "SameTest":"SameTest is an option whose setting gives a pairwise comparison function to determine whether expressions should be considered the same.", - "SampleDepth":"SampleDepth is an option for sound primitives that specifies how many bits should be used to encode sound amplitude levels. ", - "SampledSoundFunction":"RowBox[{\"SampledSoundFunction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] is a sound primitive that represents a sound whose amplitude sampled StyleBox[\"r\", \"TI\"] times a second is generated by applying the function StyleBox[\"f\", \"TI\"] to successive integers from 1 to StyleBox[\"n\", \"TI\"]. ", - "SampledSoundList":"RowBox[{\"SampledSoundList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] is a sound primitive that represents a sound whose amplitude has levels SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] sampled StyleBox[\"r\", \"TI\"] times a second. ", - "SampleRate":"SampleRate is an option that specifies the number of samples per second for sound and signal processing functions.", - "SamplingPeriod":"SamplingPeriod is an option to StateSpaceModel etc. that specifies the sampling period.", - "SARIMAProcess":"RowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"δ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a seasonal integrated autoregressive moving-average process with ARIMA coefficients SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"d\", \"TI\"], and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]]; seasonal order StyleBox[\"s\", \"TI\"]; seasonal ARIMA coefficients SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"δ\", \"TR\"], and SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"j\", \"TI\"]]; seasonal integration order StyleBox[\"δ\", \"TR\"]; and normal white noise with variance StyleBox[\"v\", \"TI\"].\nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"δ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector SARIMA process with coefficient matrices SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]], SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]], and SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"j\", \"TI\"]] and covariance matrix StyleBox[\"Σ\", \"TR\"]. \nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a vector SARIMA process with multiple integration orders SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"i\", \"TI\"]], seasonal orders SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"j\", \"TI\"]], and seasonal integration orders SubscriptBox[StyleBox[\"δ\", \"TR\"], StyleBox[\"k\", \"TI\"]]. \nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"d\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"δ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] represents a SARIMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"SARIMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a SARIMA process with constant StyleBox[\"c\", \"TI\"].", - "SARMAProcess":"RowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] represents a weakly stationary seasonal autoregressive moving-average process with ARMA coefficients SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"j\", \"TI\"]], seasonal order StyleBox[\"s\", \"TI\"], seasonal ARMA coefficients SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"j\", \"TI\"]], and normal white noise with variance StyleBox[\"v\", \"TI\"].\nRowBox[{RowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}], \" \"}] represents a weakly stationary vector SARMA process driven by normal white noise, with covariance matrix StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a weakly stationary vector SARMA process with multiple seasonal orders SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{RowBox[{\"SARMAProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"p\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"q\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"α\", \"TR\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"β\", \"TR\"], StyleBox[\"r\", \"TI\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}], \" \"}] represents a SARMA process with initial data StyleBox[\"init\", \"TI\"]. \nRowBox[{\"SARMAProcess\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a SARMA process with a constant StyleBox[\"c\", \"TI\"].", - "SASTriangle":"RowBox[{\"SASTriangle\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] returns a filled triangle with sides of length StyleBox[\"a\", \"TI\"] and StyleBox[\"b\", \"TI\"] and angle StyleBox[\"γ\", \"TR\"] between them. ", - "SatelliteData":"RowBox[{\"SatelliteData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the satellite StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SatelliteData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified satellite entities.\nRowBox[{\"SatelliteData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "SatisfiabilityCount":"RowBox[{\"SatisfiabilityCount\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] counts the number of possible combinations of variable values that yield True when supplied as arguments to the Boolean function StyleBox[\"bf\", \"TI\"].\nRowBox[{\"SatisfiabilityCount\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] counts the number of possible combinations of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that make the Boolean expression StyleBox[\"expr\", \"TI\"] be true.", - "SatisfiabilityInstances":"RowBox[{\"SatisfiabilityInstances\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] attempts to find a choice of variables that makes the Boolean function StyleBox[\"bf\", \"TI\"] yield True.\nRowBox[{\"SatisfiabilityInstances\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to find a choice of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] that makes the Boolean expression StyleBox[\"expr\", \"TI\"] be True.\nRowBox[{\"SatisfiabilityInstances\", \"[\", RowBox[{StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] attempts to find StyleBox[\"m\", \"TI\"] choices of variables that yield True.", - "SatisfiableQ":"RowBox[{\"SatisfiableQ\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives True if a combination of values of variables exists that makes the Boolean function StyleBox[\"bf\", \"TI\"] yield True.\nRowBox[{\"SatisfiableQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives True if a combination of values of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] exists that makes the Boolean expression StyleBox[\"expr\", \"TI\"] yield True.", - "Saturday":"Saturday is a day of the week.", - "Save":"RowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"symbol\", \"TI\"]}], \"]\"}] appends definitions associated with the specified symbol to a file. \nRowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"patt\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] appends definitions associated with all symbols whose names match the string pattern \"\nStyleBox[\"patt\", \"TI\"]\". \nRowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)`\\\"\", ShowStringCharacters->True]}], \"]\"}] appends definitions associated with all symbols in the specified context. \nRowBox[{\"Save\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"object\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] appends definitions associated with several objects. ", - "Saveable":"Saveable is an option for notebooks that specifies whether a notebook can be saved.", - "SaveDefinitions":"SaveDefinitions is an option to Manipulate and related functions that specifies whether current definitions relevant for the evaluation of the expression being manipulated should automatically be saved.", - "SavitzkyGolayMatrix":"RowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives a matrix corresponding to a smoothing kernel of radius StyleBox[\"r\", \"TI\"] for performing polynomial regression of degree StyleBox[\"k\", \"TI\"]. \nRowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a matrix for performing polynomial regression of degree SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]] over a window of radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]] along rows, and degree SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]] over a window of radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]] along columns.\nRowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a matrix for performing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] derivative of a polynomial regression of degree StyleBox[\"k\", \"TI\"].\nRowBox[{\"SavitzkyGolayMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]}]}], \" \", \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"k\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array using the specified parameters for each direction StyleBox[\"i\", \"TI\"].", - "SawtoothWave":"RowBox[{\"SawtoothWave\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a sawtooth wave that varies from 0 to 1 with unit period.\nRowBox[{\"SawtoothWave\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a sawtooth wave that varies from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"] with unit period.", - "Scale":"RowBox[{\"Scale\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents graphics primitives StyleBox[\"g\", \"TI\"] scaled by a factor StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Scale\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] scales with the point RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] kept fixed. \nRowBox[{\"Scale\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] scales by different factors along different axes. ", - "Scaled":"RowBox[{\"Scaled\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the position of a graphical object in terms of coordinates scaled to run from 0 to 1 across the whole plot range in each direction. \nRowBox[{\"Scaled\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a position obtained by starting at ordinary coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], then moving by a scaled offset RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. ", - "ScaleDivisions":"ScaleDivisions is an option for gauge functions that specifies how many tick marks should be drawn on the scale.", - "ScaleOrigin":"ScaleOrigin is an option for gauge functions that describes how to position the scale on the gauge.", - "ScalePadding":"ScalePadding is an option for gauge functions that specifies how much space to leave around the scale.", - "ScaleRanges":"ScaleRanges is an option for gauge functions that describes how to draw sections of the scale.", - "ScaleRangeStyle":"ScaleRangeStyle is an option for gauge functions to describe how to style different sections of the scale.", - "ScalingFunctions":"ScalingFunctions is an option for ListPlot, BarChart, Histogram, and other plotting functions that specifies what scaling functions should be used. ", - "ScalingMatrix":"RowBox[{\"ScalingMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the matrix corresponding to scaling by a factor SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] along each coordinate axis.\nRowBox[{\"ScalingMatrix\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the matrix corresponding to scaling by a factor StyleBox[\"s\", \"TI\"] along the direction of the vector StyleBox[\"v\", \"TI\"].", - "ScalingTransform":"RowBox[{\"ScalingTransform\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a TransformationFunction that represents scaling by a factor SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] along each coordinate axis from the origin.\nRowBox[{\"ScalingTransform\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives scaling centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"ScalingTransform\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives scaling by a factor StyleBox[\"s\", \"TI\"] along the direction of the vector StyleBox[\"v\", \"TI\"].\nRowBox[{\"ScalingTransform\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives scaling along the direction of StyleBox[\"v\", \"TI\"], centered at the point StyleBox[\"p\", \"TI\"].", - "Scan":"RowBox[{\"Scan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"f\", \"TI\"] applied to each element of StyleBox[\"expr\", \"TI\"] in turn. \nRowBox[{\"Scan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"levelspec\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to parts of StyleBox[\"expr\", \"TI\"] specified by StyleBox[\"levelspec\", \"TI\"]. \nRowBox[{\"Scan\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of Scan that can be applied to an expression.", - "ScheduledTask":"RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"timespec\", \"TI\"]}], \"]\"}] represents a scheduled task to be evaluated on the schedule defined by StyleBox[\"timespec\", \"TI\"].", - "ScheduledTaskActiveQ":"RowBox[{\"ScheduledTaskActiveQ\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] yields True if StyleBox[\"obj\", \"TI\"] represents an active task, and False otherwise.", - "ScheduledTaskInformation":"RowBox[{\"ScheduledTaskInformation\", \"[\", StyleBox[\"cloudobj\", \"TI\"], \"]\"}] returns the properties of the ScheduledTask StyleBox[\"cloudobj\", \"TI\"].\nRowBox[{\"ScheduledTaskInformation\", \"[\", RowBox[{StyleBox[\"cloudobj\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property StyleBox[\"property\", \"TI\"].", - "ScheduledTaskObject":"RowBox[{\"ScheduledTaskObject\", \"[\", RowBox[{StyleBox[\"id\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is a task object specifying future evaluation of StyleBox[\"expr\", \"TI\"] according to StyleBox[\"spec\", \"TI\"].", - "ScheduledTasks":"RowBox[{\"ScheduledTasks\", \"[\", \"]\"}] returns a list of ScheduledTaskObject and CloudObject expressions that represent current tasks.", - "SchurDecomposition":"RowBox[{\"SchurDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] yields the Schur decomposition for a numerical matrix StyleBox[\"m\", \"TI\"], given as a list RowBox[{\"{\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"}\"}] where StyleBox[\"q\", \"TI\"] is an orthonormal matrix and StyleBox[\"t\", \"TI\"] is a block upper‐triangular matrix. \nRowBox[{\"SchurDecomposition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized Schur decomposition of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. ", - "ScientificForm":"RowBox[{\"ScientificForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints with all real numbers in StyleBox[\"expr\", \"TI\"] given in scientific notation. \nRowBox[{\"ScientificForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints with numbers given to StyleBox[\"n\", \"TI\"]‐digit precision. ", - "ScientificNotationThreshold":"ScientificNotationThreshold is an option for NumberForm and related functions that specifies the threshold between the use of decimal notation and scientific notation to represent real numbers.", - "ScorerGi":"RowBox[{\"ScorerGi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Scorer function RowBox[{\"Gi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "ScorerGiPrime":"RowBox[{\"ScorerGiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Scorer function RowBox[{SuperscriptBox[\"Gi\", \"′\", MultilineFunction -> None], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "ScorerHi":"RowBox[{\"ScorerHi\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the Scorer function RowBox[{\"Hi\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "ScorerHiPrime":"RowBox[{\"ScorerHiPrime\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the derivative of the Scorer function RowBox[{SuperscriptBox[\"Hi\", \"′\", MultilineFunction -> None], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "ScreenRectangle":"ScreenRectangle is a global option that specifies the position of the screen by giving the coordinates of two diagonally opposite corners.", - "ScreenStyleEnvironment":"ScreenStyleEnvironment is an option for notebooks that specifies the style environment to be used in displaying a notebook on the screen. ", - "ScriptBaselineShifts":"ScriptBaselineShifts is an option for Style that specifies the minimum distance in StyleBox[\"x\", \"TI\"]‐heights to shift subscripts and superscripts. ", - "ScriptLevel":"ScriptLevel is an option for selections that is used in determining the font size of modifiers such as subscripts and superscripts in a nested expression.", - "ScriptMinSize":"ScriptMinSize is an option for Style which specifies the minimum font size to use in rendering subscripts, etc. ", - "ScriptSizeMultipliers":"ScriptSizeMultipliers is an option for Style that specifies how much smaller to render each successive level of subscripts, etc. ", - "Scrollbars":"Scrollbars is an option for Pane that specifies whether scrollbars should be displayed.", - "ScrollingOptions":"ScrollingOptions is an option for notebooks that specifies settings for scrolling.", - "ScrollPosition":"ScrollPosition is an option for Pane that specifies the scroll position of the contents of the pane.", - "SearchAdjustment":"RowBox[{\"SearchAdjustment\", \"[\", RowBox[{StyleBox[\"query\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a component of a search query that is to be treated as having weight StyleBox[\"w\", \"TI\"].\nRowBox[{\"SearchAdjustment\", \"[\", RowBox[{StyleBox[\"query\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] represents a component of a search query with certain options.", - "SearchIndexObject":"RowBox[{\"SearchIndexObject\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] represents a search index object, as created by CreateSearchIndex.\nRowBox[{\"SearchIndexObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the search index with the specified name in the RowBox[{\"SearchIndices\", \"[\", \"]\"}] list.", - "SearchIndices":"RowBox[{\"SearchIndices\", \"[\", \"]\"}] returns a list with all the locally stored instances of SearchIndexObject.", - "SearchQueryString":"RowBox[{\"SearchQueryString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents a search engine-style query in TextSearch and related functions.", - "SearchResultObject":"RowBox[{\"SearchResultObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a result from RowBox[{\"TextSearch\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] and related functions.", - "Sec":"RowBox[{\"Sec\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the secant of StyleBox[\"z\", \"TI\"]. ", - "Sech":"RowBox[{\"Sech\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic secant of StyleBox[\"z\", \"TI\"]. ", - "SechDistribution":"RowBox[{\"SechDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents the hyperbolic secant distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"SechDistribution\", \"[\", \"]\"}] represents the hyperbolic secant distribution with location parameter 0 and scale parameter 1.", - "SectorChart":"RowBox[{\"SectorChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a sector chart with sector angles proportional to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] and radii SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SectorChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a sector chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"SectorChart\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a sector chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SectorChart3D":"RowBox[{\"SectorChart3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D sector chart with sector angle proportional to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], radius SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], and height SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SectorChart3D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"j\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D sector chart with sector features defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"SectorChart3D\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a 3D sector chart from multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "SectorOrigin":"SectorOrigin is an option to PieChart and related functions that specifies where sectors should start.", - "SectorSpacing":"SectorSpacing is an option to PieChart and related functions that specifies radial spacing of sectors. ", - "SecuredAuthenticationKey":"RowBox[{\"SecuredAuthenticationKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents a secured authentication key with credentials and details specified by the association StyleBox[\"assoc\", \"TI\"].", - "SecuredAuthenticationKeys":"RowBox[{\"SecuredAuthenticationKeys\", \"[\", \"]\"}] retrieves a list of all instances of SecuredAuthenticationKey owned by the currently connected user. \nRowBox[{\"SecuredAuthenticationKeys\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] retrieves a SecuredAuthenticationKey identified by \"StyleBox[\"name\", \"TI\"]\" owned by the currently connected user, if it exists.", - "SeedRandom":"RowBox[{\"SeedRandom\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] resets the pseudorandom generator, using StyleBox[\"n\", \"TI\"] as a seed. \nRowBox[{\"SeedRandom\", \"[\", \"]\"}] resets the generator, using as a seed the time of day and certain attributes of the current StyleBox[\"Wolfram System\", \"RebrandingTerm\"] session. ", - "Select":"RowBox[{\"Select\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] picks out all elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] of StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True. \nRowBox[{\"Select\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] picks out the first StyleBox[\"n\", \"TI\"] elements for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True. \nRowBox[{\"Select\", \"[\", StyleBox[\"crit\", \"TI\"], \"]\"}] represents an operator form of Select that can be applied to an expression. ", - "Selectable":"Selectable is an option for displayed objects, cells, and notebooks that specifies whether their contents can be selected interactively using the front end. ", - "SelectComponents":"RowBox[{\"SelectComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"lmat\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] selects components of StyleBox[\"image\", \"TI\"] indicated by the label matrix StyleBox[\"lmat\", \"TI\"] that satisfy StyleBox[\"crit\", \"TI\"], replacing other parts with black.\nRowBox[{\"SelectComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] selects connected components of StyleBox[\"image\", \"TI\"].\nRowBox[{\"SelectComponents\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\" and selects the first StyleBox[\"n\", \"TI\"] in sorted order.\nRowBox[{\"SelectComponents\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] sorts computed properties using the ordering function StyleBox[\"p\", \"TI\"].", - "SelectedCells":"RowBox[{\"SelectedCells\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] returns a list of CellObject expressions corresponding to the currently selected cells in StyleBox[\"notebook\", \"TI\"].\nRowBox[{\"SelectedCells\", \"[\", \"]\"}] returns the currently selected cells in the notebook in which this function is being evaluated.", - "SelectedNotebook":"RowBox[{\"SelectedNotebook\", \"[\", \"]\"}] gives the currently selected notebook in the front end. ", - "SelectFirst":"RowBox[{\"SelectFirst\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] gives the first SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True, or RowBox[{\"Missing\", \"[\", StyleBox[\"\\\"NotFound\\\"\",ShowStringCharacters->True], \"]\"}] if none is found.\nRowBox[{\"SelectFirst\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"crit\", \"TI\"], \",\", StyleBox[\"default\", \"TI\"]}], \"]\"}] gives StyleBox[\"default\", \"TI\"] if there is no SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] such that RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.\nRowBox[{\"SelectFirst\", \"[\", StyleBox[\"crit\", \"TI\"], \"]\"}] represents an operator form of SelectFirst that can be applied to an expression.", - "SelectionAnimate":"RowBox[{\"SelectionAnimate\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] animates graphics in the current selection in a notebook. \nRowBox[{\"SelectionAnimate\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] animates graphics for StyleBox[\"t\", \"TI\"] seconds. ", - "SelectionCreateCell":"RowBox[{\"SelectionCreateCell\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] copies the contents of the current selection in a notebook into a new cell. \nRowBox[{\"SelectionCreateCell\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] sets the current selection after the copy to be as specified by StyleBox[\"sel\", \"TI\"]. ", - "SelectionEvaluate":"RowBox[{\"SelectionEvaluate\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] replaces the current selection in a notebook with the result obtained by evaluating the contents of the selection in the kernel. \nRowBox[{\"SelectionEvaluate\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] sets the current selection after the evaluation to be as specified by StyleBox[\"sel\", \"TI\"]. ", - "SelectionEvaluateCreateCell":"RowBox[{\"SelectionEvaluateCreateCell\", \"[\", StyleBox[\"notebook\", \"TI\"], \"]\"}] takes the current selection in a notebook and creates a new cell containing the result obtained by evaluating the contents of the selection using the kernel. \nRowBox[{\"SelectionEvaluateCreateCell\", \"[\", RowBox[{StyleBox[\"notebook\", \"TI\"], \",\", StyleBox[\"sel\", \"TI\"]}], \"]\"}] sets the current selection after the evaluation to be as specified by StyleBox[\"sel\", \"TI\"]. ", - "SelectionMove":"RowBox[{\"SelectionMove\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"]}], \"]\"}] moves the current selection in an open notebook in the front end in the direction StyleBox[\"dir\", \"TI\"] by the specified unit. \nRowBox[{\"SelectionMove\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"dir\", \"TI\"], \",\", StyleBox[\"unit\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] repeats the move StyleBox[\"n\", \"TI\"] times. ", - "SelfLoopStyle":"SelfLoopStyle is an option for GraphPlot and related functions that specifies how to draw self-loops that connect a vertex to itself.", - "SemanticImport":"RowBox[{\"SemanticImport\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] attempts to import a file semantically to give a Dataset object.\nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] attempts to interpret all elements in the file as being of the specified type.\nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to interpret elements in successive columns as being of the specified types. \nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}]}], \"]\"}] keeps only the columns SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] specified by their positions or names.\nRowBox[{\"SemanticImport\", \"[\", RowBox[{StyleBox[\"file\", \"TI\"], \",\", StyleBox[\"typespec\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] puts the result in the specified form.", - "SemanticImportString":"RowBox[{\"SemanticImportString\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to import a string semantically to give a Dataset object.\nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] attempts to interpret all elements in the string as being of the specified type.\nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] attempts to interpret elements in successive columns as being of the specified types. \nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"\", SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"->\", SubscriptBox[StyleBox[\"type\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] attempts to interpret elements in the named columns as being of the specified types.\nRowBox[{\"SemanticImportString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"typespec\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] puts the result in the specified form.", - "SemanticInterpretation":"RowBox[{\"SemanticInterpretation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to give the best semantic interpretation of the specified free-form string as a Wolfram Language expression.\nRowBox[{\"SemanticInterpretation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"pattern\", \"TI\"]}], \"]\"}] filters possible semantic interpretations, returning the best one that matches the specified pattern.\nRowBox[{\"SemanticInterpretation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"pattern\", \"TI\"], \",\", StyleBox[\"head\", \"TI\"]}], \"]\"}] returns the semantic interpretation wrapped with the specified head.", - "SemialgebraicComponentInstances":"RowBox[{\"SemialgebraicComponentInstances\", \"[\", RowBox[{StyleBox[\"ineqs\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities StyleBox[\"ineqs\", \"TI\"] in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "SendMail":"RowBox[{\"SendMail\", \"[\", StyleBox[\"body\", \"TI\"], \"]\"}] sends mail consisting of StyleBox[\"body\", \"TI\"] to the address specified by $WolframID.\nRowBox[{\"SendMail\", \"[\", RowBox[{\"{\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"subject\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"}\"}], \"]\"}] sends mail with the specified subject and no body.\nRowBox[{\"SendMail\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"subject\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"body\", \"TI\"]}], \"}\"}], \"]\"}] sends mail with the specified subject and body.\nRowBox[{\"SendMail\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"subject\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"att\", \"TI\"]}], \"}\"}], \"]\"}] sends mail with the attachment or attachments StyleBox[\"att\", \"TI\"].\nRowBox[{\"SendMail\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"to\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] sends mail to the specified To: address.\nRowBox[{\"SendMail\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] sends mail to multiple To: addresses.\nRowBox[{\"SendMail\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] includes the SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"i\", \"TI\"]] as Cc: addresses.\nRowBox[{\"SendMail\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"to\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"bcc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"content\", \"TI\"]}], \"]\"}] also includes the SubscriptBox[StyleBox[\"bcc\", \"TI\"], StyleBox[\"i\", \"TI\"]] as Bcc: addresses.\nRowBox[{\"SendMail\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] sends mail with elements specified in the association StyleBox[\"assoc\", \"TI\"].", - "SendMessage":"RowBox[{\"SendMessage\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"message\", \"TI\"]}], \"]\"}] sends a message to the specified channel.\nRowBox[{\"SendMessage\", \"[\", RowBox[{RowBox[{StyleBox[\"channel\", \"TI\"], \"\", StyleBox[\"dest\", \"TI\"]}], \",\", StyleBox[\"message\", \"TI\"]}], \"]\"}] sends a message to the destination StyleBox[\"dest\", \"TI\"] through the specified channel.", - "Sequence":"RowBox[{\"Sequence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a sequence of arguments to be spliced automatically into any function. ", - "SequenceAlignment":"RowBox[{\"SequenceAlignment\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] finds an optimal alignment of sequences of elements in the strings or lists SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], and yields a list of successive matching and differing sequences.", - "SequenceAttentionLayer":"RowBox[{\"SequenceAttentionLayer\", \"[\", \"]\"}] represents a trainable net layer that generates a sequence of weighted sums of its input vectors using a sequence of query vectors fed to it.\nRowBox[{\"SequenceAttentionLayer\", \"[\", StyleBox[\"net\", \"TI\"], \"]\"}] computes each output using StyleBox[\"net\", \"TI\"] to weight the inputs.", - "SequenceCases":"RowBox[{\"SequenceCases\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the sublists in StyleBox[\"list\", \"TI\"] that match the sequence pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SequenceCases\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives a list of the values of StyleBox[\"rhs\", \"TI\"] corresponding to sublists that match StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SequenceCases\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] matches.", - "SequenceCount":"RowBox[{\"SequenceCount\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sub\", \"TI\"]}], \"]\"}] gives a count of the number of times StyleBox[\"sub\", \"TI\"] appears as a sublist of StyleBox[\"list\", \"TI\"].\nRowBox[{\"SequenceCount\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the number of sublists in StyleBox[\"list\", \"TI\"] that match the general sequence pattern StyleBox[\"patt\", \"TI\"]. ", - "SequenceFold":"RowBox[{\"SequenceFold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the last element of RowBox[{\"SequenceFoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}].\nRowBox[{\"SequenceFold\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to StyleBox[\"k\", \"TI\"] arguments at each step, with the first StyleBox[\"n\", \"TI\"] coming from the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] or previous results, and the last RowBox[{StyleBox[\"k\", \"TI\"], \"-\", StyleBox[\"n\", \"TI\"]}] coming from the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SequenceFoldList":"RowBox[{\"SequenceFoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"SequenceFoldList\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to StyleBox[\"k\", \"TI\"] arguments at each step, with the first StyleBox[\"n\", \"TI\"] coming from the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] or previous results, and the last RowBox[{StyleBox[\"k\", \"TI\"], \"-\", StyleBox[\"n\", \"TI\"]}] coming from the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "SequenceForm":"RowBox[{\"SequenceForm\", \"[\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] prints as the textual concatenation of the printed forms of the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "SequenceHold":"SequenceHold is an attribute that specifies that Sequence objects appearing in the arguments of a function should not automatically be flattened out. ", - "SequenceLastLayer":"RowBox[{\"SequenceLastLayer\", \"[\", \"]\"}] represents a net that takes a sequence of inputs and returns the last element of the sequence.", - "SequenceMostLayer":"RowBox[{\"SequenceMostLayer\", \"[\", \"]\"}] represents a net that takes a sequence of inputs and removes its last element.", - "SequencePosition":"RowBox[{\"SequencePosition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sublist\", \"TI\"]}], \"]\"}] gives a list of the starting and ending positions at which StyleBox[\"sublist\", \"TI\"] appears in StyleBox[\"list\", \"TI\"].\nRowBox[{\"SequencePosition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives all positions at which sequences matching StyleBox[\"patt\", \"TI\"] occur in StyleBox[\"list\", \"TI\"].\nRowBox[{\"SequencePosition\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] occurrences of StyleBox[\"patt\", \"TI\"].", - "SequencePredict":"RowBox[{\"SequencePredict\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a RowBox[{\"SequencePredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] based on the sequences given.\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}] attempts to predict the next element in the sequence StyleBox[\"seq\", \"TI\"] from the training sequences given.\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"training\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives predictions for each of the sequences SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}] uses the built-in sequence predictor represented by \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SequencePredict\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"seq\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] give the specified property of the prediction associated with StyleBox[\"seq\", \"TI\"].", - "SequencePredictorFunction":"RowBox[{\"SequencePredictorFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a function generated by SequencePredict that predicts the next elements from a sequence.", - "SequenceReplace":"RowBox[{\"SequenceReplace\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"]}], \"]\"}] replaces sequences of StyleBox[\"list\", \"TI\"] by applying a rule or list of rules. \nRowBox[{\"SequenceReplace\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"rules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] does only the first StyleBox[\"n\", \"TI\"] replacements.\nRowBox[{\"SequenceReplace\", \"[\", StyleBox[\"rules\", \"TI\"], \"]\"}] represents an operator form of SequenceReplace that can be applied to an expression.", - "SequenceRestLayer":"RowBox[{\"SequenceRestLayer\", \"[\", \"]\"}] represents a net that takes a sequence of inputs and removes its first element.", - "SequenceReverseLayer":"RowBox[{\"SequenceReverseLayer\", \"[\", \"]\"}] represents a net that reverses the order of an input sequence.", - "SequenceSplit":"RowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] splits StyleBox[\"list\", \"TI\"] into sublists separated by sequences that match the sequence pattern StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] inserts StyleBox[\"rhs\", \"TI\"] at the position of each matched sequence.\nRowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts SubscriptBox[StyleBox[\"rhs\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the position of each SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SequenceSplit\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] splits into at most StyleBox[\"n\", \"TI\"] sublists.", - "Series":"RowBox[{\"Series\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] generates a power series expansion for StyleBox[\"f\", \"TI\"] about the point RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] to order SuperscriptBox[RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"-\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \")\"}], StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"Series\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"x\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] successively finds series expansions with respect to StyleBox[\"x\", \"TI\"], then StyleBox[\"y\", \"TI\"], etc. ", - "SeriesCoefficient":"RowBox[{\"SeriesCoefficient\", \"[\", RowBox[{StyleBox[\"series\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] finds the coefficient of the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"]-order term in a power series in the form generated by Series. \nRowBox[{\"SeriesCoefficient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] finds the coefficient of SuperscriptBox[RowBox[{\"(\", RowBox[{\"x\", \"-\", SubscriptBox[\"x\", \"0\"]}], \")\"}], \"n\"] in the expansion of StyleBox[\"f\", \"TI\"] about the point RowBox[{\"x\", \"=\", SubscriptBox[\"x\", \"0\"]}].\nRowBox[{\"SeriesCoefficient\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"x\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] finds a coefficient in a multivariate series. ", - "SeriesData":"RowBox[{\"SeriesData\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"den\", \"TI\"]}], \"]\"}] represents a power series in the variable StyleBox[\"x\", \"TI\"] about the point SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]. The SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] are the coefficients in the power series. The powers of RowBox[{\"(\", RowBox[{StyleBox[\"x\", \"TI\"], \"-\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \")\"}] that appear are RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"\/\", StyleBox[\"den\", \"TI\"]}], RowBox[{RowBox[{\"(\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"+\", \"1\"}], \")\"}], \"\/\", StyleBox[\"den\", \"TI\"]}], …, RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]], \"\/\", StyleBox[\"den\", \"TI\"]}]. ", - "ServiceConnect":"RowBox[{\"ServiceConnect\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"service\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a connection to an external service.\nRowBox[{\"ServiceConnect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"service\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"id\", \"TI\"]}], \"]\"}] uses the specified connection identifier.", - "ServiceDisconnect":"RowBox[{\"ServiceDisconnect\", \"[\", StyleBox[\"service\", \"TI\"], \"]\"}] disconnects from an external service specified by a ServiceObject.", - "ServiceExecute":"RowBox[{\"ServiceExecute\", \"[\", RowBox[{StyleBox[\"service\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"req\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] executes \"\nStyleBox[\"req\", \"TI\"]\" on an external service.\nRowBox[{\"ServiceExecute\", \"[\", RowBox[{StyleBox[\"service\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"req\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"par\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] executes \"\nStyleBox[\"req\", \"TI\"]\" with the specified settings for parameters.", - "ServiceObject":"RowBox[{\"ServiceObject\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"service\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents an open connection to an external service.", - "SessionSubmit":"RowBox[{\"SessionSubmit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] submits an asynchronous task to evaluate StyleBox[\"expr\", \"TI\"] in the current session.\nRowBox[{\"SessionSubmit\", \"[\", RowBox[{\"ScheduledTask\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}], \"]\"}] submits a task to evaluate StyleBox[\"expr\", \"TI\"] in the current session on the schedule defined by StyleBox[\"spec\", \"TI\"].", - "SessionTime":"RowBox[{\"SessionTime\", \"[\", \"]\"}] gives the total number of seconds of real time that have elapsed since the beginning of your StyleBox[\"Wolfram System\", \"RebrandingTerm\"] session. ", - "Set":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"=\", StyleBox[\"rhs\", \"TI\"]}] evaluates StyleBox[\"rhs\", \"TI\"] and assigns the result to be the value of StyleBox[\"lhs\", \"TI\"]. From then on, StyleBox[\"lhs\", \"TI\"] is replaced by StyleBox[\"rhs\", \"TI\"] whenever it appears. \nRowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"=\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] evaluates the SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]], and assigns the results to be the values of the corresponding SubscriptBox[StyleBox[\"l\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "SetAccuracy":"RowBox[{\"SetAccuracy\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] yields a version of StyleBox[\"expr\", \"TI\"] in which all numbers have been set to have accuracy StyleBox[\"a\", \"TI\"]. ", - "SetAlphaChannel":"RowBox[{\"SetAlphaChannel\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] adds a fully opaque alpha channel to StyleBox[\"image\", \"TI\"].\nRowBox[{\"SetAlphaChannel\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] sets the opacity of all pixels to StyleBox[\"a\", \"TI\"].\nRowBox[{\"SetAlphaChannel\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"aimage\", \"TI\"]}], \"]\"}] sets the alpha channel of StyleBox[\"image\", \"TI\"] to StyleBox[\"aimage\", \"TI\"].", - "SetAttributes":"RowBox[{\"SetAttributes\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"attr\", \"TI\"]}], \"]\"}] adds StyleBox[\"attr\", \"TI\"] to the list of attributes of the symbol StyleBox[\"s\", \"TI\"]. ", - "SetCloudDirectory":"RowBox[{\"SetCloudDirectory\", \"[\", StyleBox[\"dir\", \"TI\"], \"]\"}] sets the current working directory used for cloud objects to StyleBox[\"dir\", \"TI\"].\nRowBox[{\"SetCloudDirectory\", \"[\", \"]\"}] sets the current working directory for cloud objects to $CloudRootDirectory.", - "SetCookies":"RowBox[{\"SetCookies\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] sets a cookie with attributes specified by the association StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"SetCookies\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"assoc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] sets a list of cookies.", - "SetDelayed":"RowBox[{StyleBox[\"lhs\", \"TI\"], \":=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the delayed value of StyleBox[\"lhs\", \"TI\"]. StyleBox[\"rhs\", \"TI\"] is maintained in an unevaluated form. When StyleBox[\"lhs\", \"TI\"] appears, it is replaced by StyleBox[\"rhs\", \"TI\"], evaluated afresh each time. ", - "SetDirectory":"RowBox[{\"SetDirectory\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"dir\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] sets the current working directory to StyleBox[\"dir\", \"TI\"]. \nRowBox[{\"SetDirectory\", \"[\", \"]\"}] sets the current working directory to your \"home\" directory.", - "SetEnvironment":"RowBox[{\"SetEnvironment\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \"]\"}] sets the value of an operating system environment variable.\nRowBox[{\"SetEnvironment\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"var\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] sets values for several environment variables.", - "SetFileDate":"RowBox[{\"SetFileDate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] sets the modification and access dates for a file to be the current date. ", - "SetOptions":"RowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets the specified default options for a symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] or RowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets options associated with a particular stream. \nRowBox[{\"SetOptions\", \"[\", RowBox[{StyleBox[\"object\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sets options associated with an external object such as a NotebookObject. ", - "SetPermissions":"RowBox[{\"SetPermissions\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"pstring\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] sets permissions for the cloud object StyleBox[\"obj\", \"TI\"] to be as specified by the string StyleBox[\"pstring\", \"TI\"].\nRowBox[{\"SetPermissions\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", RowBox[{StyleBox[\"class\", \"TI\"], \"\", StyleBox[\"per\", \"TI\"]}]}], \"]\"}] sets permissions for the specified class of users to be StyleBox[\"per\", \"TI\"].\nRowBox[{\"SetPermissions\", \"[\", StyleBox[\"pers\", \"TI\"], \"]\"}] sets permissions as specified by StyleBox[\"pers\", \"TI\"] for the cloud object corresponding to the current document.", - "SetPrecision":"RowBox[{\"SetPrecision\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] yields a version of StyleBox[\"expr\", \"TI\"] in which all numbers have been set to have precision StyleBox[\"p\", \"TI\"]. ", - "SetProperty":"RowBox[{\"SetProperty\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[RowBox[{\"obj\", \",\", \"itemspec\"}], \"TI\"], StyleBox[\"}\", \"TI\"]}], \",\", RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}]}], \"]\"}] sets the property RowBox[{StyleBox[\"name\", \"TI\"], \"\", StyleBox[\"value\", \"TI\"]}] for StyleBox[\"itemspec\", \"TI\"] in StyleBox[\"obj\", \"TI\"].", - "SetSelectedNotebook":"RowBox[{\"SetSelectedNotebook\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] makes the notebook corresponding to StyleBox[\"obj\", \"TI\"] be the currently selected one in the front end.", - "SetSharedFunction":"RowBox[{\"SetSharedFunction\", \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] declares the symbols SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]] as shared functions whose downvalues are synchronized among all parallel kernels.", - "SetSharedVariable":"RowBox[{\"SetSharedVariable\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] declares the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] as shared variables whose values are synchronized among all parallel kernels.", - "SetStreamPosition":"RowBox[{\"SetStreamPosition\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] sets the current point in an open stream. ", - "SetSystemModel":"RowBox[{\"SetSystemModel\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] changes StyleBox[\"model\", \"TI\"] parameters, initializations or other properties in place.", - "SetSystemOptions":"RowBox[{\"SetSystemOptions\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \"]\"}] resets the value for the internal system option with the specified name.", - "Setter":"RowBox[{\"Setter\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] represents a setter button whose setting StyleBox[\"x\", \"TI\"] is set to StyleBox[\"val\", \"TI\"] when the button is clicked. The button is labeled with StyleBox[\"val\", \"TI\"], and appears pressed if the value of StyleBox[\"x\", \"TI\"] is StyleBox[\"val\", \"TI\"], and unpressed otherwise.\nRowBox[{\"Setter\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the button is clicked.\nRowBox[{\"Setter\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] labels the setter button with StyleBox[\"label\", \"TI\"].\nRowBox[{\"Setter\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] represents a setter button that sets StyleBox[\"x\", \"TI\"] to SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"n\", \"TI\"]] if multiclicked StyleBox[\"n\", \"TI\"] times. ", - "SetterBar":"RowBox[{\"SetterBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a setter bar with setting StyleBox[\"x\", \"TI\"] and with setter buttons for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SetterBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset every time a setter button is clicked.\nRowBox[{\"SetterBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a setter bar in which the setter button giving value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] has label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SetterBoxOptions":"RowBox[{SetterBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for SetterBox objects.", - "Setting":"RowBox[{\"Setting\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] replaces forms and control objects such as sliders or popup menus in StyleBox[\"expr\", \"TI\"] by their settings.", - "SetUsers":"RowBox[{\"SetUsers\", \"[\", RowBox[{StyleBox[\"group\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] sets the members of the permissions group StyleBox[\"group\", \"TI\"] to be RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"user\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "Shading":"Shading is an option for SurfaceGraphics that specifies whether the surfaces should be shaded. ", - "Shallow":"RowBox[{\"Shallow\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a shallow form of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Shallow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"depth\", \"TI\"]}], \"]\"}] prints with all parts of StyleBox[\"expr\", \"TI\"] below the specified depth given in skeleton form. \nRowBox[{\"Shallow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"depth\", \"TI\"], \",\", StyleBox[\"length\", \"TI\"]}], \"}\"}]}], \"]\"}] also gives parts whose lengths are above the specified limit in skeleton form. \nRowBox[{\"Shallow\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"depth\", \"TI\"], \",\", StyleBox[\"length\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] uses skeleton form for any parts that match the pattern StyleBox[\"form\", \"TI\"]. ", - "ShannonWavelet":"RowBox[{\"ShannonWavelet\", \"[\", \"]\"}] represents the Shannon wavelet evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", \"10\"}], \",\", \"10\"}], \"}\"}]. \nRowBox[{\"ShannonWavelet\", \"[\", StyleBox[\"lim\", \"TI\"], \"]\"}] represents the Shannon wavelet evaluated on the equally spaced interval RowBox[{\"{\", RowBox[{RowBox[{\"-\", StyleBox[\"lim\", \"TI\"]}], \",\", StyleBox[\"lim\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}]. ", - "ShapiroWilkTest":"RowBox[{\"ShapiroWilkTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Shapiro–Wilk test.\nRowBox[{\"ShapiroWilkTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Share":"RowBox[{\"Share\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] changes the way StyleBox[\"expr\", \"TI\"] is stored internally, to try and minimize the amount of memory used. \nRowBox[{\"Share\", \"[\", \"]\"}] tries to minimize the memory used to store all expressions. ", - "SharingList":"SharingList is an option for CloudObject and related constructs that specifies with whom the object has been shared.", - "Sharpen":"RowBox[{\"Sharpen\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a sharpened version of StyleBox[\"image\", \"TI\"].\nRowBox[{\"Sharpen\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives a version of StyleBox[\"image\", \"TI\"] sharpened over pixel radius StyleBox[\"r\", \"TI\"].", - "ShearingMatrix":"RowBox[{\"ShearingMatrix\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the matrix corresponding to shearing by StyleBox[\"θ\", \"TR\"] radians along the direction of the vector StyleBox[\"v\", \"TI\"], and normal to the vector StyleBox[\"n\", \"TI\"]. ", - "ShearingTransform":"RowBox[{\"ShearingTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a TransformationFunction that represents a shear by StyleBox[\"θ\", \"TR\"] radians along the direction of the vector StyleBox[\"v\", \"TI\"], normal to the vector StyleBox[\"n\", \"TI\"], and keeping the origin fixed.\nRowBox[{\"ShearingTransform\", \"[\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"v\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives a shear that keeps the point StyleBox[\"p\", \"TI\"] fixed, rather than the origin.", - "ShellRegion":"RowBox[{\"ShellRegion\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a solid shell of a 3D region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"ShellRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives a solid shell of StyleBox[\"reg\", \"TI\"] with minimal thickness StyleBox[\"t\", \"TI\"].", - "ShenCastanMatrix":"RowBox[{\"ShenCastanMatrix\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] gives a matrix that corresponds to an exponential kernel of radius StyleBox[\"r\", \"TI\"]. \nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \"]\"}] gives a matrix corresponding to an exponential kernel with radius StyleBox[\"r\", \"TI\"] and region of support specified by StyleBox[\"σ\", \"TR\"].\nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives a matrix formed from the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative of the exponential with respect to rows and the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]SuperscriptBox[\"\", \"th\"] derivative with respect to columns.\nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a matrix formed from the sums of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]] derivatives.\nRowBox[{\"ShenCastanMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"σ\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives an array corresponding to an exponential kernel with radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] index direction.", - "ShiftedGompertzDistribution":"RowBox[{\"ShiftedGompertzDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"ξ\", \"TR\"]}], \"]\"}] represents a shifted Gompertz distribution with scale parameter StyleBox[\"λ\", \"TR\"] and shape parameter StyleBox[\"ξ\", \"TR\"].", - "ShiftRegisterSequence":"RowBox[{\"ShiftRegisterSequence\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a complete maximum-length sequence for a size StyleBox[\"n\", \"TI\"] linear-feedback shift register.\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] gives the complete sequence for a linear-feedback shift register with size StyleBox[\"n\", \"TI\"] and taps at positions SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"ShiftRegisterSequence\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives the sequence for a linear-feedback shift register with feedback polynomial StyleBox[\"poly\", \"TI\"].\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tap\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"f\", \"TI\"]}], \"}\"}], \"]\"}] gives the sequence for a shift register with feedback function StyleBox[\"f\", \"TI\"].\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"s\", \"TI\"] elements of the shift register sequence.\nRowBox[{\"ShiftRegisterSequence\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the shift register sequence starting from state StyleBox[\"init\", \"TI\"].", - "Short":"RowBox[{\"Short\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a short form of StyleBox[\"expr\", \"TI\"], less than about one line long. \nRowBox[{\"Short\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] prints as a form of StyleBox[\"expr\", \"TI\"] about StyleBox[\"n\", \"TI\"] lines long. ", - "ShortDownArrow":"RowBox[{\"ShortDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", - "Shortest":"RowBox[{\"Shortest\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a pattern object that matches the shortest sequence consistent with the pattern StyleBox[\"p\", \"TI\"]. ", - "ShortestMatch":"RowBox[{\"ShortestMatch\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] is a string pattern object matching the shortest sequence of characters consistent with the string pattern StyleBox[\"p\", \"TI\"].", - "ShortestPathFunction":"RowBox[{\"ShortestPathFunction\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a function that gives the shortest path from a source vertex StyleBox[\"s\", \"TI\"] to target vertex StyleBox[\"t\", \"TI\"] in a graph.", - "ShortLeftArrow":"RowBox[{\"ShortLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", - "ShortRightArrow":"RowBox[{\"ShortRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", - "ShortUpArrow":"RowBox[{\"ShortUpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", StyleBox[\"…\", \"TR\"]}].", - "Show":"RowBox[{\"Show\", \"[\", RowBox[{StyleBox[\"graphics\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] shows graphics with the specified options added. \nRowBox[{\"Show\", \"[\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] shows several graphics combined. ", - "ShowAutoSpellCheck":"ShowAutoSpellCheck is an option for Cell that specifies whether to highlight misspelled words.", - "ShowAutoStyles":"ShowAutoStyles is an option for Cell that specifies whether styles that are specified to be automatically used for various syntactic and other constructs should be shown. ", - "ShowCellBracket":"ShowCellBracket is an option for Cell that specifies whether to display the bracket that indicates the extent of the cell. ", - "ShowCellLabel":"ShowCellLabel is an option for Cell that specifies whether to display the label for a cell. ", - "ShowCellTags":"ShowCellTags is an option for Cell that specifies whether to display tags for a cell. ", - "ShowClosedCellArea":"ShowClosedCellArea is an option for cells that specifies whether a rectangular bar is displayed next to a closed cell group to indicate the number of cells in the group.", - "ShowContents":"ShowContents is an option for selections that specifies whether an object represented by a StyleBox should be displayed on the screen or replaced by blank space.", - "ShowCursorTracker":"ShowCursorTracker is an option for Cell that specifies whether an elliptical spot should appear momentarily to guide the eye if the cursor position jumps. ", - "ShowGroupOpenCloseIcon":"ShowGroupOpenCloseIcon is an option for cells that specifies whether a triangular icon is displayed next to the leading cell in a cell group to indicate whether the cell group is open or closed.", - "ShowGroupOpener":"ShowGroupOpener is an option for cells that specifies whether an opener icon is displayed next to the leading cell in a cell group to indicate whether the cell group is open or closed.", - "ShowPageBreaks":"ShowPageBreaks is a notebook option that specifies whether to indicate in the on‐screen display of a notebook where page breaks would occur if the notebook were printed. ", - "ShowSelection":"ShowSelection is an option to Notebook, Cell, and Style that specifies whether to show the current selection highlighted. ", - "ShowShortBoxForm":"ShowShortBoxForm is an option for cells that specifies whether box expressions, which are used to represent two-dimensional forms in a cell, are displayed in a more compact notation when the expression for that cell is viewed.", - "ShowStringCharacters":"ShowStringCharacters is an option for Cell that specifies whether to display \" when a string is entered. ", - "ShrinkingDelay":"ShrinkingDelay is an option for dynamic objects that specifies how long to delay before shrinking the size of the region in which the object is displayed to the actual size of the object. ", - "SiderealTime":"RowBox[{\"SiderealTime\", \"[\", \"]\"}] gives the right ascension of the local meridian for the current date and location.\nRowBox[{\"SiderealTime\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the right ascension of the local meridian for the specified date.\nRowBox[{\"SiderealTime\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the right ascension of the local meridian for the specified location.\nRowBox[{\"SiderealTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the right ascension of the local meridian for the specified date and location.\nRowBox[{\"SiderealTime\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the right ascensions of the local meridians for all specified locations on the specified dates.\nRowBox[{\"SiderealTime\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", - "SiegelTheta":"RowBox[{\"SiegelTheta\", \"[\", RowBox[{StyleBox[\"Ω\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Siegel theta function RowBox[{\"Θ\", \" \", RowBox[{\"(\", RowBox[{StyleBox[\"Ω\", \"TR\"], \",\", \"s\"}], \")\"}]}] with Riemann modular matrix StyleBox[\"Ω\", \"TR\"] and vector StyleBox[\"s\", \"TI\"].\nRowBox[{\"SiegelTheta\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ν\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ν\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"Ω\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the Siegel theta function RowBox[{RowBox[{\"Θ\", \" \", \"[\", RowBox[{SubscriptBox[\"ν\", \"1\"], \",\", SubscriptBox[\"ν\", \"2\"]}], \"]\"}], RowBox[{\"(\", \" \", RowBox[{StyleBox[\"Ω\", \"TR\"], \",\", \"s\"}], \")\"}]}] with characteristics StyleBox[SubscriptBox[StyleBox[\"ν\", \"TR\"], \"1\"], \"TR\"] and StyleBox[SubscriptBox[StyleBox[\"ν\", \"TR\"], \"2\"], \"TR\"].", - "SiegelTukeyTest":"RowBox[{\"SiegelTukeyTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"SiegelTukeyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure againstRowBox[{\" \", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]]}].\nRowBox[{\"SiegelTukeyTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubsuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "SierpinskiCurve":"RowBox[{\"SierpinskiCurve\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the line segments representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Sierpiński curve.", - "SierpinskiMesh":"RowBox[{\"SierpinskiMesh\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives a mesh region representing the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Sierpiński triangle. \nRowBox[{\"SierpinskiMesh\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"]-step Sierpiński sponge in dimension StyleBox[\"d\", \"TI\"].", - "Sign":"RowBox[{\"Sign\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives RowBox[{\"-\", \"1\"}], 0, or 1 depending on whether StyleBox[\"x\", \"TI\"] is negative, zero, or positive. ", - "Signature":"RowBox[{\"Signature\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the signature of the permutation needed to place the elements of StyleBox[\"list\", \"TI\"] in canonical order. ", - "SignedRankTest":"RowBox[{\"SignedRankTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the median of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"SignedRankTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the median of RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"-\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] is zero.\nRowBox[{\"SignedRankTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"]}], \"]\"}] tests a location measure against StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"].\nRowBox[{\"SignedRankTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "SignedRegionDistance":"RowBox[{\"SignedRegionDistance\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the minimum distance from the point StyleBox[\"p\", \"TI\"] to the region StyleBox[\"reg\", \"TI\"] if StyleBox[\"p\", \"TI\"] is outside the region and the minimum distance to the complement of StyleBox[\"reg\", \"TI\"] if StyleBox[\"p\", \"TI\"] is inside the region.\nRowBox[{\"SignedRegionDistance\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives a RowBox[{\"RegionDistanceFunction\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] that can be applied repeatedly to different points.", - "SignificanceLevel":"SignificanceLevel is an option to VarianceTest and similar functions that controls cutoffs for diagnostic tests as well as test conclusions. ", - "SignPadding":"SignPadding is an option for NumberForm and related functions that specifies whether padding should be inserted after signs. ", - "SignTest":"RowBox[{\"SignTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the median of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"SignTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the median of RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"–\", \" \", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}] is zero.\nRowBox[{\"SignTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"]}], \"]\"}] tests a location measure against StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"].\nRowBox[{\"SignTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", StyleBox[SubscriptBox[StyleBox[\"μ\", \"TR\"], \"0\"], \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "SimilarityRules":"SimilarityRules is an option for functions such as SequenceAlignment that gives a list of rules for similarity scores to assume between pairs of elements.", - "SimpleGraph":"RowBox[{\"SimpleGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the underlying simple graph from the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"SimpleGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "SimpleGraphQ":"RowBox[{\"SimpleGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a simple graph and False otherwise.", - "Simplex":"RowBox[{\"Simplex\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}], \"]\"}] represents the simplex spanned by points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Simplify":"RowBox[{\"Simplify\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] performs a sequence of algebraic and other transformations on StyleBox[\"expr\", \"TI\"] and returns the simplest form it finds. \nRowBox[{\"Simplify\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"assum\", \"TI\"]}], \"]\"}] does simplification using assumptions. ", - "Sin":"RowBox[{\"Sin\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the sine of StyleBox[\"z\", \"TI\"]. ", - "Sinc":"RowBox[{\"Sinc\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives RowBox[{\"sinc\", \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "SinghMaddalaDistribution":"RowBox[{\"SinghMaddalaDistribution\", \"[\", RowBox[{StyleBox[\"q\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"]\"}] represents the Singh–Maddala distribution with shape parameters StyleBox[\"q\", \"TI\"] and StyleBox[\"a\", \"TI\"] and scale parameter StyleBox[\"b\", \"TI\"].", - "SingleLetterItalics":"SingleLetterItalics is an option for Cell that specifies whether single‐letter names should be displayed in italics. ", - "SingularValueDecomposition":"RowBox[{\"SingularValueDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the singular value decomposition for a numerical matrix StyleBox[\"m\", \"TI\"] as a list of matrices RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], where StyleBox[\"w\", \"TI\"] is a diagonal matrix and StyleBox[\"m\", \"TI\"] can be written as RowBox[{StyleBox[\"u\", \"TI\"], \".\", StyleBox[\"w\", \"TI\"], \".\", RowBox[{\"Conjugate\", \"[\", RowBox[{\"Transpose\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}], \"]\"}]}]. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized singular value decomposition of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the singular value decomposition associated with the StyleBox[\"k\", \"TI\"] largest singular values of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", RowBox[{\"UpTo\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}]}], \"]\"}] gives the decomposition for the StyleBox[\"k\", \"TI\"] largest singular values, or as many as are available. \nRowBox[{\"SingularValueDecomposition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the generalized singular value decomposition associated with the StyleBox[\"k\", \"TI\"] largest singular values.", - "SingularValueList":"RowBox[{\"SingularValueList\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a list of the nonzero singular values of a matrix StyleBox[\"m\", \"TI\"]. \nRowBox[{\"SingularValueList\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \"]\"}] gives the generalized singular values of StyleBox[\"m\", \"TI\"] with respect to StyleBox[\"a\", \"TI\"]. \nRowBox[{\"SingularValueList\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"] largest singular values of StyleBox[\"m\", \"TI\"]. \nRowBox[{\"SingularValueList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"] largest generalized singular values of StyleBox[\"m\", \"TI\"].", - "SingularValuePlot":"RowBox[{\"SingularValuePlot\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] generates a plot of the singular values of the transfer function for the system StyleBox[\"lsys\", \"TI\"]. \nRowBox[{\"SingularValuePlot\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots for the frequency range SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SingularValuePlot\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots StyleBox[\"expr\", \"TI\"] using the variable StyleBox[\"ω\", \"TR\"].", - "SingularValues":"RowBox[{\"SingularValues\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the singular value decomposition for a numerical matrix StyleBox[\"m\", \"TI\"]StyleBox[\".\", \"TI\", FontSlant -> \"Plain\"] The result is a list RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}], where StyleBox[\"w\", \"TI\"] is the list of singular values, and StyleBox[\"m\", \"TI\"] can be written as RowBox[{RowBox[{\"Conjugate\", \"[\", RowBox[{\"Transpose\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \"]\"}], \".\", \" \", RowBox[{\"DiagonalMatrix\", \"[\", StyleBox[\"w\", \"TI\"], \"]\"}], \".\", StyleBox[\"v\", \"TI\"]}].", - "Sinh":"RowBox[{\"Sinh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic sine of StyleBox[\"z\", \"TI\"]. ", - "SinhIntegral":"RowBox[{\"SinhIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic sine integral function RowBox[{\"Shi\", \"(\", \"z\", \")\"}]. ", - "SinIntegral":"RowBox[{\"SinIntegral\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the sine integral function RowBox[{\"Si\", \"(\", StyleBox[\"z\", \"TI\"]}]). ", - "SixJSymbol":"RowBox[{\"SixJSymbol\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"4\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"5\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"6\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the values of the Racah 6‐StyleBox[\"j\", \"TI\"] symbol. ", - "Skeleton":"RowBox[{\"Skeleton\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a sequence of StyleBox[\"n\", \"TI\"] omitted elements in an expression printed with Short or Shallow. The standard print form for Skeleton is RowBox[{\"\", StyleBox[\"n\", \"TI\"], \"\"}]. ", - "SkeletonTransform":"RowBox[{\"SkeletonTransform\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives the skeleton transform of StyleBox[\"image\", \"TI\"], in which the value of each skeleton pixel is its distance to the nearest background pixel.\nRowBox[{\"SkeletonTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "SkellamDistribution":"RowBox[{\"SkellamDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] represents a Skellam distribution with shape parameters SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "Skewness":"RowBox[{\"Skewness\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the coefficient of skewness for the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"Skewness\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the coefficient of skewness for the distribution StyleBox[\"dist\", \"TI\"].", - "SkewNormalDistribution":"RowBox[{\"SkewNormalDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] represents a skew-normal distribution with shape parameter StyleBox[\"α\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].", - "SkinStyle":"SkinStyle is an option of AnatomyPlot3D that specifies what style to use for automatically included skin subparts.", - "Skip":"RowBox[{\"Skip\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] skips one object of the specified type in an input stream. \nRowBox[{\"Skip\", \"[\", RowBox[{StyleBox[\"stream\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] skips StyleBox[\"n\", \"TI\"] objects of the specified type. ", - "SliceContourPlot3D":"RowBox[{\"SliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a contour plot of StyleBox[\"f\", \"TI\"] over the slice surface StyleBox[\"surf\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"SliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] restricts the surface to be within region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"SliceContourPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates contour plots over several slices. ", - "SliceDensityPlot3D":"RowBox[{\"SliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a density plot of StyleBox[\"f\", \"TI\"] over the slice surface StyleBox[\"surf\", \"TI\"] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"SliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] restricts the surface to be within region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"SliceDensityPlot3D\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates density plots over several slices. ", - "SliceDistribution":"RowBox[{\"SliceDistribution\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the distribution of the process state at time StyleBox[\"t\", \"TI\"].\nRowBox[{\"SliceDistribution\", \"[\", RowBox[{StyleBox[\"proc\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the joint distribution of process states at times RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"<\", \"⋯\", \"<\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"k\", \"TI\"]]}].", - "SliceVectorPlot3D":"RowBox[{\"SliceVectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a vector plot of the field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}] over the slice surface StyleBox[\"surf\", \"TI\"]. \nRowBox[{\"SliceVectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"surf\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] restricts the surface StyleBox[\"surf\", \"TI\"] to be within the region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"SliceVectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] generates vector plots over several slice surfaces SubscriptBox[StyleBox[\"surf\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "Slider":"RowBox[{\"Slider\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a slider with setting StyleBox[\"x\", \"TI\"] in the range 0 to 1. \nRowBox[{\"Slider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being reset if the slider is moved. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a slider with range SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dx\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a slider that jumps in steps StyleBox[\"dx\", \"TI\"]. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] represents a slider in which equally spaced intervals correspond to successive settings SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Slider\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses intervals of relative widths SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "Slider2D":"RowBox[{\"Slider2D\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] represents a 2D slider with settings StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] in the range 0 to 1. \nRowBox[{\"Slider2D\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"pt\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"pt\", \"TI\"], with the value of StyleBox[\"pt\", \"TI\"] being reset if the slider is moved. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a 2D slider with range StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"] in each direction. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a 2D slider that jumps in steps StyleBox[\"d\", \"TI\"] in each direction. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"}\"}]}], \"]\"}] specifies different ranges in StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"] directions. \nRowBox[{\"Slider2D\", \"[\", RowBox[{StyleBox[\"pt\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"dx\", \"TI\"], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses jumps StyleBox[\"dx\", \"TI\"], StyleBox[\"dy\", \"TI\"].", - "Slider2DBoxOptions":"RowBox[{Slider2DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Slider2DBox objects.", - "SliderBoxOptions":"RowBox[{SliderBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for SliderBox objects.", - "SlideView":"RowBox[{\"SlideView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] are set up to be displayed on successive slides. \nRowBox[{\"SlideView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] slide be the one currently displayed.", - "Slot":"# represents the first argument supplied to a pure function. \nStyleBox[RowBox[{\"#\", StyleBox[\"n\", \"TI\"]}]] represents the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] argument. \nStyleBox[RowBox[{\"#\", StyleBox[\"name\", \"TI\"]}]] represents the value associated with key \"StyleBox[\"name\", \"TI\"]\" in an association in the first argument. ", - "Small":"Small is a style or option setting that specifies that objects should be small.", - "SmallCircle":"RowBox[{\"SmallCircle\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∘\", StyleBox[\"y\", \"TI\"], \"∘\", StyleBox[\"…\", \"TR\"]}].", - "Smaller":"Smaller is a style or option setting that specifies that objects should be smaller.", - "SmithDecomposition":"RowBox[{\"SmithDecomposition\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives the Smith normal form decomposition of an integer matrix StyleBox[\"m\", \"TI\"].", - "SmithDelayCompensator":"RowBox[{\"SmithDelayCompensator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"con\", \"TI\"]}], \"]\"}] gives the Smith compensator for the time-delay system StyleBox[\"sys\", \"TI\"] and the delay-free controller StyleBox[\"con\", \"TI\"].", - "SmithWatermanSimilarity":"RowBox[{\"SmithWatermanSimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives a number representing the Smith–Waterman similarity between strings or vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "SmoothDensityHistogram":"RowBox[{\"SmoothDensityHistogram\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a smooth kernel histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"SmoothDensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"SmoothDensityHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"].", - "SmoothHistogram":"RowBox[{\"SmoothHistogram\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a smooth kernel histogram of the values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"SmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"]. \nRowBox[{\"SmoothHistogram\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots smooth kernel histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SmoothHistogram3D":"RowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots a 3D smooth kernel histogram of the values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"]}], \"]\"}] plots a 3D smooth kernel histogram with estimator specification StyleBox[\"espec\", \"TI\"].\nRowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"espec\", \"TI\"], \",\", StyleBox[\"dfun\", \"TI\"]}], \"]\"}] plots the distribution function StyleBox[\"dfun\", \"TI\"].\nRowBox[{\"SmoothHistogram3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots smooth kernel histograms for multiple datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SmoothKernelDistribution":"RowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a smooth kernel distribution based on the data values SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate smooth kernel distribution based on the data values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"]}], \"]\"}] represents a smooth kernel distribution with bandwidth StyleBox[\"bw\", \"TI\"].\nRowBox[{\"SmoothKernelDistribution\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"bw\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] represents a smooth kernel distribution with bandwidth StyleBox[\"bw\", \"TI\"] and smoothing kernel StyleBox[\"ker\", \"TI\"].", - "SnDispersion":"RowBox[{\"SnDispersion\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the SubscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic of the elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"SnDispersion\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the SubscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"n\", \"TI\"]] statistic with scaling factor StyleBox[\"c\", \"TI\"].", - "Snippet":"RowBox[{\"Snippet\", \"[\", StyleBox[\"doc\", \"TI\"], \"]\"}] gives a snippet of text from a document or other content object.\nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives about StyleBox[\"n\", \"TI\"] lines from the beginning. \nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives about StyleBox[\"n\", \"TI\"] lines from the end.\nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] gives a span from lines SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]\nRowBox[{\"Snippet\", \"[\", RowBox[{StyleBox[\"doc\", \"TI\"], \",\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \";;\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"3\", \"TR\"]]}]}], \"]\"}] gives a span from lines SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]] in steps of SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"3\", \"TR\"]].\nRowBox[{\"Snippet\", \"[\", RowBox[{RowBox[{\"ContentObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", RowBox[{\"SearchResultObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}]}], \"]\"}] gives contextual snippets from a content object based on search results.", - "SocialMediaData":"RowBox[{\"SocialMediaData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives information about the social media entity \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SocialMediaData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specified property for the social media entity \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SocialMediaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"id\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of a property for the specified identifier StyleBox[\"id\", \"TI\"].", - "Socket":"Socket is a possible value returned by FileType and related functions.", - "SocketConnect":"RowBox[{\"SocketConnect\", \"[\", StyleBox[\"address\", \"TI\"], \"]\"}] makes a socket connection to the TCP host at the specified address and returns a SocketObject representing the connection.\nRowBox[{\"SocketConnect\", \"[\", RowBox[{StyleBox[\"address\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"protocol\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] makes a connection to the host at StyleBox[\"address\", \"TI\"] with the specified protocol.\nRowBox[{\"SocketConnect\", \"[\", StyleBox[\"socket\", \"TI\"], \"]\"}] makes a connection to a local socket opened in the current session.", - "SocketListen":"RowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"socket\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] starts listening on the specified socket, asynchronously applying StyleBox[\"fun\", \"TI\"] whenever data is received on the socket.\nRowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"port\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] starts listening for active connections on the specified port of 127.0.0.1.\nRowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"address\", \"TI\"], \",\", StyleBox[\"fun\", \"TI\"]}], \"]\"}] starts listening for active connections on the specified address StyleBox[\"address\", \"TI\"] on the local machine.\nRowBox[{\"SocketListen\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] starts listening for active connections defined by StyleBox[\"spec\", \"TI\"] using the options StyleBox[\"opts\", \"TI\"].\nRowBox[{\"SocketListen\", \"[\", StyleBox[\"spec\", \"TI\"], StyleBox[\"]\", \"TI\"]}] starts listening for active connections defined by StyleBox[\"spec\", \"TI\"], but does not set up handler functions, etc.", - "SocketListener":"RowBox[{\"SocketListener\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a socket listener created by SocketListen.", - "SocketObject":"RowBox[{\"SocketObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents a network socket connection.", - "SocketOpen":"RowBox[{\"SocketOpen\", \"[\", StyleBox[\"port\", \"TI\"], \"]\"}] opens a socket that accepts TCP connections to localhost:StyleBox[\"port\", \"TI\"] and returns a SocketObject representing the socket.\nRowBox[{\"SocketOpen\", \"[\", StyleBox[\"address\", \"TI\"], \"]\"}] opens a socket that accepts TCP connections to the specified local address. \nRowBox[{\"SocketOpen\", \"[\", RowBox[{StyleBox[\"address\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"protocol\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] opens a socket that accepts connections with the specified protocol.", - "SocketReadMessage":"RowBox[{\"SocketReadMessage\", \"[\", StyleBox[\"socket\", \"TI\"], \"]\"}] reads the next available message on the specified socket, returning it as a byte array.", - "SocketReadyQ":"RowBox[{\"SocketReadyQ\", \"[\", StyleBox[\"socket\", \"TI\"], \"]\"}] tests if there is any data immediately available to read from the specified socket. \nRowBox[{\"SocketReadyQ\", \"[\", RowBox[{StyleBox[\"socket\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] waits for up to StyleBox[\"t\", \"TI\"] seconds to see if data becomes available to read.", - "Sockets":"RowBox[{\"Sockets\", \"[\", \"]\"}] returns all active socket connections initiated by your current Wolfram Language session.\nRowBox[{\"Sockets\", \"[\", \"All\", \"]\"}] returns all sockets connected to your current session, including remote sockets originating outside your current session.\nRowBox[{\"Sockets\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns only sockets specified by StyleBox[\"spec\", \"TI\"].", - "SocketWaitAll":"RowBox[{\"SocketWaitAll\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] waits until there is data ready to read on all of the SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SocketWaitNext":"RowBox[{\"SocketWaitNext\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] waits until there is data ready to read on any of the SubscriptBox[StyleBox[\"socket\", \"TI\"], StyleBox[\"i\", \"TI\"]], then returns that socket.", - "SoftmaxLayer":"RowBox[{\"SoftmaxLayer\", \"[\", \"]\"}] represents a softmax net layer.\nRowBox[{\"SoftmaxLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a softmax net layer that uses level StyleBox[\"n\", \"TI\"] as the normalization dimension.", - "SokalSneathDissimilarity":"RowBox[{\"SokalSneathDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Sokal–Sneath dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "SolarEclipse":"RowBox[{\"SolarEclipse\", \"[\", \"]\"}] gives the time of the next solar eclipse.\nRowBox[{\"SolarEclipse\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the time for the next solar eclipse after the specified date.\nRowBox[{\"SolarEclipse\", \"[\", StyleBox[\"propertyspec\", \"TI\"], \"]\"}] gives the specified property value for the next solar eclipse.\nRowBox[{\"SolarEclipse\", \"[\", RowBox[{StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"propertyspec\", \"TI\"]}], \"]\"}] gives the specified property value for the next solar eclipse after the specified date.", - "SolarSystemFeatureData":"RowBox[{\"SolarSystemFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the solar system feature StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SolarSystemFeatureData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified feature entities.\nRowBox[{\"SolarSystemFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "SolidData":"RowBox[{\"SolidData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the solid StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SolidData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified solid entities.\nRowBox[{\"SolidData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "SolidRegionQ":"RowBox[{\"SolidRegionQ\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives True if the 3D region StyleBox[\"reg\", \"TI\"] is a solid region and False otherwise.", - "Solve":"RowBox[{\"Solve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] attempts to solve the system StyleBox[\"expr\", \"TI\"] of equations or inequalities for the variables StyleBox[\"vars\", \"TI\"]. \nRowBox[{\"Solve\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] solves over the domain StyleBox[\"dom\", \"TI\"]. Common choices of StyleBox[\"dom\", \"TI\"] are Reals, Integers, and Complexes.", - "SolveAlways":"RowBox[{\"SolveAlways\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] gives the values of parameters that make the equations StyleBox[\"eqns\", \"TI\"] valid for all values of the variables StyleBox[\"vars\", \"TI\"]. ", - "SolveDelayed":"SolveDelayed is an option to NDSolve. RowBox[{\"SolveDelayed\", \" \", \"->\", \" \", \"False\"}] causes the derivatives to be solved for symbolically at the beginning. RowBox[{\"SolveDelayed\", \" \", \"->\", \" \", \"True\"}] causes the ODEs to be evaluated numerically and the derivatives solved for at each step.", - "Sort":"RowBox[{\"Sort\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] into canonical order. \nRowBox[{\"Sort\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] sorts using the ordering function StyleBox[\"p\", \"TI\"]. ", - "SortBy":"RowBox[{\"SortBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] sorts the elements of StyleBox[\"list\", \"TI\"] in the order defined by applying StyleBox[\"f\", \"TI\"] to each of them. \nRowBox[{\"SortBy\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents an operator form of SortBy that can be applied to an expression.", - "Sound":"RowBox[{\"Sound\", \"[\", StyleBox[\"primitives\", \"TI\"], \"]\"}] represents a sound. \nRowBox[{\"Sound\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] specifies that the sound should have duration StyleBox[\"t\", \"TI\"].\nRowBox[{\"Sound\", \"[\", RowBox[{StyleBox[\"primitives\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] specifies that the sound should extend from time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to time SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "SoundNote":"RowBox[{\"SoundNote\", \"[\", StyleBox[\"pitch\", \"TI\"], \"]\"}] represents a music-like sound note with the specified pitch.\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] takes the note to have duration StyleBox[\"t\", \"TI\"].\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the note to occupy the time interval SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] takes the note to be in the specified style.\nRowBox[{\"SoundNote\", \"[\", RowBox[{StyleBox[\"pitch\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"opts\", \"TI\"]}], \"]\"}] uses the specified rendering options for the note.", - "SoundVolume":"SoundVolume is an option to Sound and SoundNote and related functions that specifies the relative volume of the sound produced.", - "SourceLink":"SourceLink is an option for CloudObject and related constructs that specifies the source of the content given.", - "Sow":"RowBox[{\"Sow\", \"[\", StyleBox[\"e\", \"TI\"], \"]\"}] specifies that StyleBox[\"e\", \"TI\"] should be collected by the nearest enclosing Reap. \nRowBox[{\"Sow\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] specifies that StyleBox[\"e\", \"TI\"] should be collected by the nearest enclosing Reap whose pattern matches StyleBox[\"tag\", \"TI\"]. \nRowBox[{\"Sow\", \"[\", RowBox[{StyleBox[\"e\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] specifies that StyleBox[\"e\", \"TI\"] should be collected once for each pattern that matches a SubscriptBox[StyleBox[\"tag\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "SpaceCurveData":"RowBox[{\"SpaceCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the space curve StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SpaceCurveData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified space curve entities.\nRowBox[{\"SpaceCurveData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "SpaceForm":"RowBox[{\"SpaceForm\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] prints as StyleBox[\"n\", \"TI\"] spaces.", - "Spacer":"RowBox[{\"Spacer\", \"[\", StyleBox[\"w\", \"TI\"], \"]\"}] displays as a spacer StyleBox[\"w\", \"TI\"] printer's points wide.\nRowBox[{\"Spacer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"}\"}], \"]\"}] displays as a spacer StyleBox[\"w\", \"TI\"] points wide and a total of StyleBox[\"h\", \"TI\"] points high.\nRowBox[{\"Spacer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"w\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"dh\", \"TI\"]}], \"}\"}], \"]\"}] makes the spacer extend StyleBox[\"dh\", \"TI\"] points below the baseline. ", - "Spacings":"Spacings is an option to Grid and related constructs that specifies the spacings to leave between successive objects.", - "Span":"RowBox[{StyleBox[\"i\", \"TI\"], \";;\", StyleBox[\"j\", \"TI\"]}] represents a span of elements StyleBox[\"i\", \"TI\"] through StyleBox[\"j\", \"TI\"].\nRowBox[{StyleBox[\"i\", \"TI\"], \";;\"}] represents a span from StyleBox[\"i\", \"TI\"] to the end.\nRowBox[{\";;\", StyleBox[\"j\", \"TI\"]}] represents a span from the beginning to StyleBox[\"j\", \"TI\"].\n;; represents a span that includes all elements.\nRowBox[{StyleBox[\"i\", \"TI\"], \";;\", StyleBox[\"j\", \"TI\"], \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from StyleBox[\"i\", \"TI\"] through StyleBox[\"j\", \"TI\"] in steps of StyleBox[\"k\", \"TI\"].\nRowBox[{StyleBox[\"i\", \"TI\"], \";;\", \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from StyleBox[\"i\", \"TI\"] to the end in steps of StyleBox[\"k\", \"TI\"].\nRowBox[{\";;\", StyleBox[\"j\", \"TI\"], \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from the beginning to StyleBox[\"j\", \"TI\"] in steps of StyleBox[\"k\", \"TI\"].\nRowBox[{\";;\", \";;\", StyleBox[\"k\", \"TI\"]}] represents a span from the beginning to the end in steps of StyleBox[\"k\", \"TI\"]. ", - "SpanAdjustments":"SpanAdjustments is an option for selections that specifies the height and width of spanning characters.", - "SpanCharacterRounding":"SpanCharacterRounding is an option for selections that specifies the method used for rounding a spanning character when its size is to be adjusted.", - "SpanFromAbove":"SpanFromAbove is a symbol that can appear at a particular position in a Grid or related construct to indicate that the corresponding position is occupied by a spanning element that appears above it.", - "SpanFromBoth":"SpanFromBoth is a symbol that can appear at a particular position in a Grid or related construct to indicate that the corresponding position is occupied by a spanning element that appears above and to its left.", - "SpanFromLeft":"SpanFromLeft is a symbol that can appear at a particular position in a Grid or related construct to indicate that the corresponding position is occupied by a spanning element that appears to its left.", - "SpanLineThickness":"SpanLineThickness is an option for selections that specifies the thickness in printer's points of line-spanning characters such as ∖[VerticalLine] and ∖[HorizontalLine].", - "SpanMaxSize":"SpanMaxSize is an option for selections that specifies the maximum size of spanning characters such as parentheses and brackets.", - "SpanMinSize":"SpanMinSize is an option for selections that specifies the minimum size of spanning characters such as parentheses and brackets.", - "SpanSymmetric":"SpanSymmetric is an option for selections that specifies whether vertically expandable characters are symmetric about the axis of the selection.", - "SparseArray":"RowBox[{\"SparseArray\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a sparse array in which values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] appear at positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"SparseArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the same sparse array. \nRowBox[{\"SparseArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] yields a sparse array version of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"SparseArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a sparse array representing a RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"×\", StyleBox[\"…\", \"TR\"]}] array. \nRowBox[{\"SparseArray\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] yields a sparse array in which unspecified elements are taken to have value StyleBox[\"val\", \"TI\"]. ", - "SpatialGraphDistribution":"RowBox[{\"SpatialGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a spatial distribution for graphs with StyleBox[\"n\", \"TI\"] vertices uniformly distributed over the unit square and edges between vertices that are at distance at most StyleBox[\"r\", \"TI\"].\nRowBox[{\"SpatialGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] represents a spatial distribution for graphs with vertices uniformly distributed over the StyleBox[\"d\", \"TI\"]-dimensional unit square.\nRowBox[{\"SpatialGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents a spatial distribution for graphs with vertices distributed according to the probability distribution StyleBox[\"dist\", \"TI\"].", - "SpatialMedian":"RowBox[{\"SpatialMedian\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the spatial median of the elements SubscriptBox[\"x\", \"i\"].\nRowBox[{\"SpatialMedian\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the spatial median for several different forms of StyleBox[\"data\", \"TI\"]. ", - "SpatialTransformationLayer":"RowBox[{\"SpatialTransformationLayer\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"w\", \"TI\"]}], \"}\"}], \"]\"}] represents a net layer that applies an affine transformation to an input of size RowBox[{StyleBox[\"c\", \"TI\"], \"×\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"0\", \"TR\"]], \"×\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"0\", \"TR\"]]}] and returns an output of size RowBox[{StyleBox[\"c\", \"TI\"], \"×\", StyleBox[\"h\", \"TI\"], \"×\", StyleBox[\"w\", \"TI\"]}].", - "Speak":"RowBox[{\"Speak\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] speaks a spoken representation of the expression StyleBox[\"expr\", \"TI\"].", - "SpearmanRankTest":"RowBox[{\"SpearmanRankTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"SpearmanRankTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"SpearmanRankTest\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "SpearmanRho":"RowBox[{\"SpearmanRho\", \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Spearman's rank correlation coefficient ρ for the vectors SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"SpearmanRho\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives Spearman's rank correlation coefficient ρ for the matrix StyleBox[\"m\", \"TI\"].\nRowBox[{\"SpearmanRho\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Spearman's rank correlation coefficient ρ for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"SpearmanRho\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives Spearman's rank correlation matrix for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"SpearmanRho\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \"]\"}] gives the RowBox[{\"(\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"j\", \"TI\"]}], \")\"}]SuperscriptBox[\"\", \"th\"] Spearman rank correlation for the multivariate symbolic distribution StyleBox[\"dist\", \"TI\"].", - "SpeciesData":"RowBox[{\"SpeciesData\", \"[\", RowBox[{StyleBox[\"name\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the species StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SpeciesData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified species entities.\nRowBox[{\"SpeciesData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "SpecificityGoal":"SpecificityGoal is an option for ImageIdentify and related functions that defines what specificity of object to seek to identify.", - "SpectralLineData":"RowBox[{\"SpectralLineData\", \"[\", StyleBox[\"entity\", \"TI\"], \"]\"}] gives the values of all known properties for an atomic state or state transition.\nRowBox[{\"SpectralLineData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the given entity.\nRowBox[{\"SpectralLineData\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] returns the state transition with the closest wavelength or frequency specified.\nRowBox[{\"SpectralLineData\", \"[\", RowBox[{StyleBox[\"class\", \"TI\"], \",\", StyleBox[\"quantity\", \"TI\"]}], \"]\"}] returns the entity in the specified entity class with the closest wavelength or energy to the specified quantity.\nRowBox[{\"SpectralLineData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] returns the entities in StyleBox[\"spec\", \"TI\"] that fall within the range specified between SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "Spectrogram":"RowBox[{\"Spectrogram\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] plots the spectrogram of StyleBox[\"list\", \"TI\"].\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"Spectrogram\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots the spectrogram of StyleBox[\"audio\", \"TI\"].", - "SpectrogramArray":"RowBox[{\"SpectrogramArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] returns the spectrogram data of StyleBox[\"list\", \"TI\"].\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses partitions of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] uses partitions with offset StyleBox[\"d\", \"TI\"].\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"]}], \"]\"}] applies a smoothing window StyleBox[\"wfun\", \"TI\"] to each partition.\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"wfun\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] pads partitions with zeros to length StyleBox[\"m\", \"TI\"] prior to the computation of the transform.\nRowBox[{\"SpectrogramArray\", \"[\", RowBox[{StyleBox[\"audio\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] returns spectrogram data of StyleBox[\"audio\", \"TI\"].", - "Specularity":"RowBox[{\"Specularity\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] is a graphics directive which specifies that surfaces of 3D graphics objects which follow are to be taken to have specularity StyleBox[\"s\", \"TI\"]. \nRowBox[{\"Specularity\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] uses specular exponent StyleBox[\"n\", \"TI\"]. ", - "SpeechSynthesize":"RowBox[{\"SpeechSynthesize\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] synthesizes the contents of StyleBox[\"expr\", \"TI\"] as an Audio object. \nRowBox[{\"SpeechSynthesize\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"voice\", \"TI\"]}], \"]\"}] uses the specified StyleBox[\"voice\", \"TI\"] to synthesize the speech signal.", - "SpellingCorrection":"SpellingCorrection is an option for StringMatchQ, Names, and related functions that specifies whether strings should be considered to match even when a small fraction of the characters in them are different. ", - "SpellingCorrectionList":"RowBox[{\"SpellingCorrectionList\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of possible spelling corrections for \"\nStyleBox[\"word\", \"TI\"]\".", - "SpellingDictionaries":"SpellingDictionaries is a global option that specifies settings for spell checking.", - "SpellingDictionariesPath":"SpellingDictionariesPath is a global option that specifies which directories are searched for spelling dictionaries when the StyleBox[\"Edit\", \"MenuName\"]StyleBox[\" ▶ \", \"MenuNameDelimiter\"]StyleBox[\"Check Spelling\", \"MenuName\"] menu item is used.", - "SpellingOptions":"SpellingOptions is an option for notebooks that specifies settings for spell checking.", - "Sphere":"RowBox[{\"Sphere\", \"[\", StyleBox[\"p\", \"TI\"], \"]\"}] represents a unit sphere centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Sphere\", \"[\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a sphere of radius StyleBox[\"r\", \"TI\"] centered at the point StyleBox[\"p\", \"TI\"].\nRowBox[{\"Sphere\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a collection of spheres of radius StyleBox[\"r\", \"TI\"].", - "SpherePoints":"RowBox[{\"SpherePoints\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the positions of StyleBox[\"n\", \"TI\"] uniformly distributed points on the surface of a unit sphere.", - "SphericalBesselJ":"RowBox[{\"SphericalBesselJ\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Bessel function of the first kind RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "SphericalBesselY":"RowBox[{\"SphericalBesselY\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Bessel function of the second kind RowBox[{SubscriptBox[\"y\", \"n\"], \"(\", \"z\", \")\"}]. ", - "SphericalHankelH1":"RowBox[{\"SphericalHankelH1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Hankel function of the first kind RowBox[{SubsuperscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"1\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "SphericalHankelH2":"RowBox[{\"SphericalHankelH2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the spherical Hankel function of the second kind RowBox[{SubsuperscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", \"2\", \")\"}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "SphericalHarmonicY":"RowBox[{\"SphericalHarmonicY\", \"[\", RowBox[{StyleBox[\"l\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] gives the spherical harmonic RowBox[{SubsuperscriptBox[StyleBox[\"Y\", \"TI\"], StyleBox[\"l\", \"TI\"], StyleBox[\"m\", \"TI\"]], \"(\", RowBox[{\"θ\", \",\", \"ϕ\"}], \")\"}]. ", - "SphericalPlot3D":"RowBox[{\"SphericalPlot3D\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] generates a 3D plot with a spherical radius StyleBox[\"r\", \"TI\"] as a function of spherical coordinates StyleBox[\"θ\", \"TR\"] and StyleBox[\"ϕ\", \"TR\"].\nRowBox[{\"SphericalPlot3D\", \"[\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a 3D spherical plot over the specified ranges of spherical coordinates.\nRowBox[{\"SphericalPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"θ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"θ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"ϕ\", \"TR\"], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"ϕ\", \"TR\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a 3D spherical plot with multiple surfaces.", - "SphericalRegion":"SphericalRegion is an option for three-dimensional graphics functions that specifies whether the final image should be scaled so that a sphere drawn around the three‐dimensional bounding box would fit in the display area specified. ", - "SphericalShell":"RowBox[{\"SphericalShell\", \"[\", RowBox[{StyleBox[\"c\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a filled spherical shell centered at StyleBox[\"c\", \"TI\"] with inner radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"inner\", \"TI\"]] and outer radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"outer\", \"TI\"]].", - "SpheroidalEigenvalue":"RowBox[{\"SpheroidalEigenvalue\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"]\"}] gives the spheroidal eigenvalue with degree n and order m.", - "SpheroidalJoiningFactor":"RowBox[{\"SpheroidalJoiningFactor\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"]}], \"]\"}] gives the spheroidal joining factor with degree StyleBox[\"n\", \"TI\"] and order StyleBox[\"m\", \"TI\"].", - "SpheroidalPS":"RowBox[{\"SpheroidalPS\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"PS\", FontSlant -> \"Italic\"], RowBox[{\"n\", \",\", \"m\"}]], \"(\", RowBox[{\"γ\", \",\", \"z\"}], \")\"}] of the first kind.", - "SpheroidalPSPrime":"RowBox[{\"SpheroidalPSPrime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"PS\", FontSlant -> \"Italic\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the first kind.", - "SpheroidalQS":"RowBox[{\"SpheroidalQS\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"QS\", FontSlant -> \"Italic\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the second kind.", - "SpheroidalQSPrime":"RowBox[{\"SpheroidalQSPrime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the angular spheroidal function RowBox[{SubscriptBox[StyleBox[\"QS\", FontSlant -> \"Italic\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the second kind.", - "SpheroidalRadialFactor":"RowBox[{\"SpheroidalRadialFactor\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] gives the spheroidal radial factor with degree StyleBox[\"n\", \"TI\"] and order StyleBox[\"m\", \"TI\"].", - "SpheroidalS1":"RowBox[{\"SpheroidalS1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the radial spheroidal function RowBox[{SubsuperscriptBox[\"S\", RowBox[{\"n\", \",\", \"m\"}], RowBox[{\"(\", \"1\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", \"z\"}], \")\"}] of the first kind.", - "SpheroidalS1Prime":"RowBox[{\"SpheroidalS1Prime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the radial spheroidal function RowBox[{SubsuperscriptBox[StyleBox[\"S\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], RowBox[{\"(\", \"1\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the first kind.", - "SpheroidalS2":"RowBox[{\"SpheroidalS2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the radial spheroidal function RowBox[{SubsuperscriptBox[\"S\", RowBox[{\"n\", \",\", \"m\"}], RowBox[{\"(\", \"2\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", \"z\"}], \")\"}] of the second kind.", - "SpheroidalS2Prime":"RowBox[{\"SpheroidalS2Prime\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the derivative with respect to StyleBox[\"z\", \"TI\"] of the radial spheroidal function RowBox[{SubsuperscriptBox[StyleBox[\"S\", \"TI\"], RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], RowBox[{\"(\", \"2\", \")\"}]], \"(\", RowBox[{\"γ\", \",\", StyleBox[\"z\", \"TI\"]}], \")\"}] of the second kind.", - "SplicedDistribution":"RowBox[{\"SplicedDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], \",\"}]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents the distribution obtained by splicing the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], … truncated on the intervals RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], … with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", - "SplineClosed":"SplineClosed is an option for B-spline functions and graphics primitives that specifies whether spline curves or surfaces should be closed. ", - "SplineDegree":"SplineDegree is an option for spline functions and graphics primitives that specifies the degree of polynomial basis to use.", - "SplineKnots":"SplineKnots is an option for B-spline functions and graphics primitives that specifies the positions of knots.", - "SplineWeights":"SplineWeights is an option for B-spline functions and graphics primitives that specifies weights of control points.", - "Split":"RowBox[{\"Split\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] splits StyleBox[\"list\", \"TI\"] into sublists consisting of runs of identical elements. \nRowBox[{\"Split\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] treats pairs of adjacent elements as identical whenever applying the function StyleBox[\"test\", \"TI\"] to them yields True. ", - "SplitBy":"RowBox[{\"SplitBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] splits StyleBox[\"list\", \"TI\"] into sublists consisting of runs of successive elements that give the same value when StyleBox[\"f\", \"TI\"] is applied.\nRowBox[{\"SplitBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] recursively splits StyleBox[\"list\", \"TI\"] into sublists by testing elements successively with each of the SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SpokenString":"RowBox[{\"SpokenString\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a string of text corresponding to a spoken representation of the expression StyleBox[\"expr\", \"TI\"].", - "Sqrt":"RowBox[{\"Sqrt\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] or SqrtBox[StyleBox[\"z\", \"TI\"]] gives the square root of StyleBox[\"z\", \"TI\"]. ", - "SqrtBox":"RowBox[{SqrtBox, \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] is a low-level box construct that represents the displayed object SqrtBox[StyleBox[\"x\", \"TI\"]] in notebook expressions. ", - "SqrtBoxOptions":"SqrtBoxOptions is an option that specifies settings for SqrtBox objects.", - "Square":"RowBox[{\"Square\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] displays as RowBox[{\"\", StyleBox[\"x\", \"TI\"]}].", - "SquaredEuclideanDistance":"RowBox[{\"SquaredEuclideanDistance\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the squared Euclidean distance between vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "SquareFreeQ":"RowBox[{\"SquareFreeQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a square-free polynomial or number, and False otherwise.\nRowBox[{\"SquareFreeQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"]}], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is square-free with respect to the variables StyleBox[\"vars\", \"TI\"]. ", - "SquareIntersection":"RowBox[{\"SquareIntersection\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊓\", StyleBox[\"y\", \"TI\"], \"⊓\", StyleBox[\"…\", \"TR\"]}].", - "SquareMatrixQ":"RowBox[{\"SquareMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is a square matrix, and False otherwise.", - "SquareRepeatingElement":"RowBox[{\"SquareRepeatingElement\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] represents a square array of elements of type StyleBox[\"spec\", \"TI\"] in an interpreter, API or form specification.\nRowBox[{\"SquareRepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] represents a square array of elements of maximum size RowBox[{StyleBox[\"max\", \"TI\"], \"×\", StyleBox[\"max\", \"TI\"]}].\nRowBox[{\"SquareRepeatingElement\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a square array of elements of size between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"].", - "SquaresR":"RowBox[{\"SquaresR\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the number of ways RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"d\", \"TI\"]], \"(\", StyleBox[\"n\", \"TI\"], \")\"}] to represent the integer StyleBox[\"n\", \"TI\"] as a sum of StyleBox[\"d\", \"TI\"] squares.", - "SquareSubset":"RowBox[{\"SquareSubset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊏\", StyleBox[\"y\", \"TI\"], \"⊏\", StyleBox[\"…\", \"TR\"]}].", - "SquareSubsetEqual":"RowBox[{\"SquareSubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊑\", StyleBox[\"y\", \"TI\"], \"⊑\", StyleBox[\"…\", \"TR\"]}].", - "SquareSuperset":"RowBox[{\"SquareSuperset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊐\", StyleBox[\"y\", \"TI\"], \"⊐\", StyleBox[\"…\", \"TR\"]}].", - "SquareSupersetEqual":"RowBox[{\"SquareSupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊒\", StyleBox[\"y\", \"TI\"], \"⊒\", StyleBox[\"…\", \"TR\"]}].", - "SquareUnion":"RowBox[{\"SquareUnion\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊔\", StyleBox[\"y\", \"TI\"], \"⊔\", StyleBox[\"…\", \"TR\"]}].", - "SquareWave":"RowBox[{\"SquareWave\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a square wave that alternates between +1 and -1 with unit period.\nRowBox[{\"SquareWave\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a square wave that alternates between SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]] with unit period. ", - "SSSTriangle":"RowBox[{\"SSSTriangle\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] returns a filled triangle with sides of lengths StyleBox[\"a\", \"TI\"], StyleBox[\"b\", \"TI\"], and StyleBox[\"c\", \"TI\"].", - "StabilityMargins":"StabilityMargins is an option to frequency response plots such as BodePlot, NyquistPlot, and NicholsPlot that specifies the gain and phase margins to be shown on the plot.", - "StabilityMarginsStyle":"StabilityMarginsStyle is an option to frequency response plots such as BodePlot, NyquistPlot, and NicholsPlot that specifies the styles in which the gain and phase margins are to be drawn.", - "StableDistribution":"RowBox[{\"StableDistribution\", \"[\", RowBox[{StyleBox[\"type\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents the stable distribution SubscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"type\", \"TI\"]] with index of stability StyleBox[\"α\", \"TR\"], skewness parameter StyleBox[\"β\", \"TR\"], location parameter StyleBox[\"μ\", \"TR\"], and scale parameter StyleBox[\"σ\", \"TR\"].", - "Stack":"RowBox[{\"Stack\", \"[\", \"]\"}] shows the current evaluation stack, giving a list of the tags associated with evaluations that are currently being done. \nRowBox[{\"Stack\", \"[\", StyleBox[\"pattern\", \"TI\"], \"]\"}] gives a list of expressions currently being evaluated which match the pattern. ", - "StackBegin":"RowBox[{\"StackBegin\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], starting a fresh evaluation stack. ", - "StackComplete":"RowBox[{\"StackComplete\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with intermediate expressions in evaluation chains included on the stack. ", - "StackedDateListPlot":"RowBox[{\"StackedDateListPlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots points with values StyleBox[SubscriptBox[StyleBox[\"v\", \"TI\"], \"i\"], \"TI\"] at a sequence of dates.\nRowBox[{\"StackedDateListPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] plots points with dates at equal intervals specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"StackedDateListPlot\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] plots the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"StackedDateListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots data from all the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StackedDateListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}]}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", - "StackedListPlot":"RowBox[{\"StackedListPlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots lines for each of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], with the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] curve being the accumulation of values in SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StackedListPlot\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] plots SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] with features defined by the symbolic wrapper StyleBox[\"w\", \"TI\"].", - "StackInhibit":"RowBox[{\"StackInhibit\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] without modifying the evaluation stack. ", - "StadiumShape":"RowBox[{\"StadiumShape\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a stadium of radius StyleBox[\"r\", \"TI\"] between the points RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}] and RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}].", - "StandardAtmosphereData":"RowBox[{\"StandardAtmosphereData\", \"[\", RowBox[{StyleBox[\"altitude\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the value of the property at the specified geometrical altitude for the chosen model of the standard Earth atmosphere.\nRowBox[{\"StandardAtmosphereData\", \"[\", RowBox[{StyleBox[\"layer\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns a piecewise symbolic approximation with the range of an atmospheric layer for the property.\nRowBox[{\"StandardAtmosphereData\", \"[\", RowBox[{StyleBox[\"\\\"SymbolicApproximation\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the full piecewise symbolic approximation for the property.", - "StandardDeviation":"RowBox[{\"StandardDeviation\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the sample standard deviation of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"StandardDeviation\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the standard deviation of the distribution StyleBox[\"dist\", \"TI\"].", - "StandardDeviationFilter":"RowBox[{\"StandardDeviationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] filters StyleBox[\"data\", \"TI\"] by replacing every value by the standard deviations of the values in its range-StyleBox[\"r\", \"TI\"] neighborhood.\nRowBox[{\"StandardDeviationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] uses SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] for filtering the iSuperscriptBox[\"\", \"th\"]dimension in data.", - "StandardForm":"RowBox[{\"StandardForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as the standard StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] two-dimensional representation of StyleBox[\"expr\", \"TI\"]. ", - "Standardize":"RowBox[{\"Standardize\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] shifts and rescales the elements of StyleBox[\"list\", \"TI\"] to have zero mean and unit sample variance.\nRowBox[{\"Standardize\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}] shifts the elements in StyleBox[\"list\", \"TI\"] by RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] and rescales them to have unit sample variance.\nRowBox[{\"Standardize\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] shifts by RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] and scales by RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", StyleBox[\"list\", \"TI\"], \"]\"}].", - "Standardized":"Standardized is an option that determines whether to standardize the data.", - "StandardOceanData":"RowBox[{\"StandardOceanData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the thermodynamic properties of seawater for the specified parameters.\nRowBox[{\"StandardOceanData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the specified property for the given parameters. ", - "StandbyDistribution":"RowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a standby distribution with component lifetime distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"i\", \"TI\"]]. When component StyleBox[\"i\", \"TI\"] fails, component RowBox[{StyleBox[\"i\", \"TI\"], \"+\", \"1\"}] will become active. \nRowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents a standby distribution where switching from component StyleBox[\"i\", \"TI\"] to component RowBox[{StyleBox[\"i\", \"TI\"], \"+\", \"1\"}] succeeds with probability StyleBox[\"p\", \"TI\"].\nRowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"sdist\", \"TI\"]}], \"]\"}] represents a standby distribution where the switch component has lifetime distribution StyleBox[\"sdist\", \"TI\"].\nRowBox[{\"StandbyDistribution\", \"[\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"inactive\"}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"active\"}], \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a standby distribution where the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] component lifetime distribution follows SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"inactive\"}], \"TI\"]] in inactive mode and SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[RowBox[{\"i\", \",\", \"active\"}], \"TI\"]] in active mode.", - "Star":"RowBox[{\"Star\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋆\", StyleBox[\"y\", \"TI\"], \"⋆\", StyleBox[\"…\", \"TR\"]}].", - "StarClusterData":"RowBox[{\"StarClusterData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the star cluster StyleBox[\"entity\", \"TI\"].\nRowBox[{\"StarClusterData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified star cluster entities.\nRowBox[{\"StarClusterData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "StarData":"RowBox[{\"StarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified property for the star StyleBox[\"entity\", \"TI\"].\nRowBox[{\"StarData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified star entities.\nRowBox[{\"StarData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the property.", - "StarGraph":"RowBox[{\"StarGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the star graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"S\", \"n\"].", - "StartAsynchronousTask":"RowBox[{\"StartAsynchronousTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] allows asynchronous evaluations from StyleBox[\"task\", \"TI\"] after it has been stopped.", - "StartExternalSession":"RowBox[{\"StartExternalSession\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] starts an external session using the external evaluator StyleBox[\"sys\", \"TI\"], returning an external session object.\nRowBox[{\"StartExternalSession\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sys\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"opts\", \"TI\"]}], \"}\"}], \"]\"}] uses the options StyleBox[\"opts\", \"TI\"] for the external evaluator.\nRowBox[{\"StartExternalSession\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] starts the external evaluator specified by StyleBox[\"assoc\", \"TI\"].\nRowBox[{\"StartExternalSession\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \"\", StyleBox[\"type\", \"TI\"]}], \"]\"}] specifies that output from the external evaluator should be converted to the specified type.", - "StartingStepSize":"StartingStepSize is an option to NDSolve and related functions that specifies the initial step size to use in trying to generate results.", - "StartOfLine":"StartOfLine represents the start of a line in a string for purposes of matching in StringExpression.", - "StartOfString":"StartOfString represents the start of a string for purposes of matching in StringExpression.", - "StartProcess":"StartProcess[\"executable\"] executes an external program, yielding a ProcessObject to represent the resulting subprocess.\nStartProcess[{\"executable\", arg 1, arg 2, ...}] executes an external program, passing it the specified arguments arg i.", - "StartScheduledTask":"RowBox[{\"StartScheduledTask\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] starts the local or cloud scheduled task represented by StyleBox[\"obj\", \"TI\"].", - "StartupSound":"StartupSound is a global option that specifies whether StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] plays a sound when it is launched.", - "StateDimensions":"StateDimensions is an option to TemporalData that specifies the dimensions of the state space. ", - "StateFeedbackGains":"RowBox[{\"StateFeedbackGains\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the state feedback gain matrix for the state-space model StyleBox[\"ssm\", \"TI\"], such that the poles of the closed-loop system are SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StateFeedbackGains\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] specifies control inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]] to use. ", - "StateOutputEstimator":"RowBox[{\"StateOutputEstimator\", \"[\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] constructs an estimator for the StateSpaceModel StyleBox[\"ssm\", \"TI\"], with estimator gain matrix StyleBox[\"l\", \"TI\"].\nRowBox[{\"StateOutputEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] uses only StyleBox[\"sensors\", \"TI\"] as the measurements of StyleBox[\"ssm\", \"TI\"].\nRowBox[{\"StateOutputEstimator\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"ssm\", \"TI\"], \",\", StyleBox[\"sensors\", \"TI\"], \",\", StyleBox[\"dinputs\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"l\", \"TI\"]}], \"]\"}] specifies StyleBox[\"dinputs\", \"TI\"] as the deterministic inputs of StyleBox[\"ssm\", \"TI\"].", - "StateResponse":"RowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the numeric state response of the state-space model StyleBox[\"sys\", \"TI\"] to input StyleBox[\"u\", \"TI\"] for RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \"≤\", StyleBox[\"t\", \"TI\"], \"≤\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}]. \nRowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"0\", \"]\"}], \",\", RowBox[{StyleBox[\"u\", \"TI\"], \"[\", \"1\", \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the response of the discrete-time state-space model StyleBox[\"sys\", \"TI\"] to the input sequence RowBox[{StyleBox[\"u\", \"TI\"], \"[\", StyleBox[\"i\", \"TI\"], \"]\"}].\nRowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the symbolic state response as a function of time StyleBox[\"t\", \"TI\"].\nRowBox[{\"StateResponse\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the state response for multiple inputs SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StateResponse\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"20\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the response with initial states SubscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"0\", \"TR\"]].", - "StateSpaceModel":"RowBox[{\"StateSpaceModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"}\"}], \"]\"}] represents the standard state-space model with state matrix StyleBox[\"a\", \"TI\"], input matrix StyleBox[\"b\", \"TI\"], output matrix StyleBox[\"c\", \"TI\"], and transmission matrix StyleBox[\"d\", \"TI\"].\nRowBox[{\"StateSpaceModel\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"e\", \"TI\"]}], \"}\"}], \"]\"}] represents a descriptor state-space model with descriptor matrix StyleBox[\"e\", \"TI\"].\nRowBox[{\"StateSpaceModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives a state-space model corresponding to the systems model StyleBox[\"sys\", \"TI\"].\nRowBox[{\"StateSpaceModel\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"τ\", \"TI\"]}], \"]\"}] gives the state-space model obtained by Taylor linearization about the point RowBox[{StyleBox[\"(\", \"TI\"], RowBox[{SubscriptBox[SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"0\", \"TR\"]], \",\", SubscriptBox[SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]], StyleBox[\"0\", \"TR\"]]}], \")\"}] of the differential or difference equations StyleBox[\"eqns\", \"TI\"] with outputs SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"i\", \"TI\"]] and independent variable StyleBox[\"τ\", \"TI\"].", - "StateSpaceRealization":"StateSpaceRealization is an option to StateSpaceModel that specifies its canonical representation.", - "StateSpaceTransform":"RowBox[{\"StateSpaceTransform\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}]}], \"]\"}] transforms the state-space model StyleBox[\"sys\", \"TI\"] using the matrices StyleBox[\"p\", \"TI\"] and StyleBox[\"q\", \"TI\"]. \nRowBox[{\"StateSpaceTransform\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] transforms using the variable transformations RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"z\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", RowBox[{SubscriptBox[StyleBox[\"q\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "StateTransformationLinearize":"RowBox[{\"StateTransformationLinearize\", \"[\", StyleBox[\"asys\", \"TI\"], \"]\"}] linearizes the AffineStateSpaceModel StyleBox[\"asys\", \"TI\"] by state transformation.\nRowBox[{\"StateTransformationLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"lform\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies the new states StyleBox[\"z\", \"TI\"] and form of linearization StyleBox[\"lform\", \"TI\"]. \nRowBox[{\"StateTransformationLinearize\", \"[\", RowBox[{StyleBox[\"asys\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] computes the property \"\nStyleBox[\"prop\", \"TI\"]\".", - "StationaryDistribution":"RowBox[{\"StationaryDistribution\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] represents the stationary distribution of the process StyleBox[\"proc\", \"TI\"], when it exists. ", - "StationaryWaveletPacketTransform":"RowBox[{\"StationaryWaveletPacketTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the stationary wavelet packet transform (SWPT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"StationaryWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the stationary wavelet packet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"StationaryWaveletPacketTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the stationary wavelet packet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", - "StationaryWaveletTransform":"RowBox[{\"StationaryWaveletTransform\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] gives the stationary wavelet transform (SWT) of an array of StyleBox[\"data\", \"TI\"].\nRowBox[{\"StationaryWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"]}], \"]\"}] gives the stationary wavelet transform using the wavelet StyleBox[\"wave\", \"TI\"].\nRowBox[{\"StationaryWaveletTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"wave\", \"TI\"], StyleBox[\",\", \"TI\"], StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the stationary wavelet transform using StyleBox[\"r\", \"TI\"] levels of refinement.", - "StatusArea":"RowBox[{\"StatusArea\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"string\", \"TI\"]}], \"]\"}] displays StyleBox[\"string\", \"TI\"] in the status area of the current notebook when the mouse pointer is in the region where StyleBox[\"expr\", \"TI\"] appears. ", - "StatusCentrality":"RowBox[{\"StatusCentrality\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of status centralities for the vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"StatusCentrality\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "StepMonitor":"StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used. ", - "StieltjesGamma":"RowBox[{\"StieltjesGamma\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the Stieltjes constant SubscriptBox[\"γ\", StyleBox[\"n\", \"TI\"]]. \nRowBox[{\"StieltjesGamma\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the generalized Stieltjes constant RowBox[{SubscriptBox[\"γ\", StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"a\", \"TI\"], \")\"}].", - "StirlingS1":"RowBox[{\"StirlingS1\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Stirling number of the first kind SubsuperscriptBox[StyleBox[\"S\", \"TI\"], StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]]. ", - "StirlingS2":"RowBox[{\"StirlingS2\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] gives the Stirling number of the second kind SubsuperscriptBox[\"\", StyleBox[\"n\", \"TI\"], RowBox[{\"(\", StyleBox[\"m\", \"TI\"], \")\"}]]. ", - "StopAsynchronousTask":"RowBox[{\"StopAsynchronousTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] stops asynchronous evaluations from StyleBox[\"task\", \"TI\"].", - "StoppingPowerData":"RowBox[{\"StoppingPowerData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"Particle\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"particle\", \"TI\"]}], \",\", RowBox[{StyleBox[\"\\\"Energy\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"quantity\", \"TI\"]}]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specific property for the substance for the specified particle and the energy of that particle.", - "StopScheduledTask":"RowBox[{\"StopScheduledTask\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] deactivates the local or cloud scheduled task represented by StyleBox[\"obj\", \"TI\"].", - "StrataVariables":"StrataVariables is an option for fitting functions such as CoxModelFit that specify the variables on which the model should be stratified. ", - "StratonovichProcess":"RowBox[{\"StratonovichProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents a Stratonovich process RowBox[{\"x\", \"(\", \"t\", \")\"}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \"◦\", \" \", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}], \" \"}]}]}]}].\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"b\", \"TI\"], \",\", StyleBox[\"c\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents a Stratonovich process RowBox[{RowBox[{\"y\", \"(\", \"t\", \")\"}], \"\", RowBox[{\"c\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}]}], where RowBox[{RowBox[{\"\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \"\", RowBox[{RowBox[{RowBox[{\"a\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], RowBox[{\"\", \"t\"}]}], \"+\", RowBox[{RowBox[{\"b\", \"(\", RowBox[{\"t\", \",\", RowBox[{\"x\", \"(\", \"t\", \")\"}]}], \")\"}], \"◦\", \" \", RowBox[{\"\", RowBox[{\"w\", \"(\", \"t\", \")\"}], \" \"}]}]}]}].\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents a Stratonovich process with initial condition RowBox[{RowBox[{\"x\", \"(\", SubscriptBox[\"t\", \"0\"], \")\"}], \"\", SubscriptBox[\"x\", \"0\"]}].\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] uses a Wiener process RowBox[{\"w\", \"(\", \"t\", \")\"}], with covariance StyleBox[\"Σ\", \"TR\"].\nRowBox[{\"StratonovichProcess\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] converts StyleBox[\"proc\", \"TI\"] to a standard Stratonovich process whenever possible.\nRowBox[{\"StratonovichProcess\", \"[\", RowBox[{StyleBox[\"sdeqns\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", RowBox[{StyleBox[\"w\", \"TI\"], \"\", StyleBox[\"dproc\", \"TI\"]}]}], \"]\"}] represents a Stratonovich process specified by a stochastic differential equation StyleBox[\"sdeqns\", \"TI\"], output expression StyleBox[\"expr\", \"TI\"], with state StyleBox[\"x\", \"TI\"] and time StyleBox[\"t\", \"TI\"], driven by StyleBox[\"w\", \"TI\"] following the process StyleBox[\"dproc\", \"TI\"]. ", - "StreamColorFunction":"StreamColorFunction is an option for StreamPlot and related functions that specifies a function to apply to determine colors along streamlines. ", - "StreamColorFunctionScaling":"StreamColorFunctionScaling is an option for graphics functions that specifies whether arguments supplied to a stream color function should be scaled to lie between 0 and 1. ", - "StreamDensityPlot":"RowBox[{\"StreamDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a stream plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"], superimposed on a background density plot of the scalar field StyleBox[\"s\", \"TI\"]. \nRowBox[{\"StreamDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the scalar field to be the norm of the vector field.\nRowBox[{\"StreamDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], StyleBox[\"}\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates plots of several vector fields. \nRowBox[{\"StreamDensityPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", - "StreamMarkers":"StreamMarkers is an option for StreamPlot, ListStreamPlot and related functions that specifies what markers to draw at the field points plotted.", - "StreamPlot":"RowBox[{\"StreamPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a stream plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"StreamPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates plots of several vector fields. \nRowBox[{\"StreamPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", - "StreamPoints":"StreamPoints is an option to StreamPlot, ListStreamPlot, and related functions that determines how many streamlines to draw.", - "StreamPosition":"RowBox[{\"StreamPosition\", \"[\", StyleBox[\"stream\", \"TI\"], \"]\"}] returns an integer that specifies the position of the current point in an open stream. ", - "Streams":"RowBox[{\"Streams\", \"[\", \"]\"}] gives a list of all streams that are currently open. \nRowBox[{\"Streams\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] lists only streams with the specified name. ", - "StreamScale":"StreamScale is an option to StreamPlot, ListStreamPlot, and related functions that determines the length and arrowhead size of streamlines that are drawn. ", - "StreamStyle":"StreamStyle is an option to StreamPlot, StreamDensityPlot, and related functions that determines the style to use for drawing streamlines.", - "String":"String is the head of a character string \"StyleBox[\"text\", \"TI\"]\". ", - "StringByteCount":"RowBox[{\"StringByteCount\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the total number of bytes used to store the characters in a string.", - "StringCases":"RowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the substrings in \"StyleBox[\"string\", \"TI\"]\" that match the string expression StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"lhs\", \"TI\"], \"\", StyleBox[\"rhs\", \"TI\"]}]}], \"]\"}] gives a list of the values of StyleBox[\"rhs\", \"TI\"] corresponding to the substrings that match the string expression StyleBox[\"lhs\", \"TI\"]. \nRowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] substrings that match. \nRowBox[{\"StringCases\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives substrings that match any of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringCases\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringCases\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringCases that can be applied to an expression.", - "StringContainsQ":"RowBox[{\"StringContainsQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if any part of StyleBox[\"string\", \"TI\"] matches the string pattern StyleBox[\"patt\", \"TI\"], and yields False otherwise.\nRowBox[{\"StringContainsQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the results for each of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringContainsQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringContainsQ that can be applied to an expression.", - "StringCount":"RowBox[{\"StringCount\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sub\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a count of the number of times \"\nStyleBox[\"sub\", \"TI\"]\" appears as a substring of \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringCount\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the number of substrings in \"\nStyleBox[\"string\", \"TI\"]\" that match the general string expression StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringCount\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] counts the number of occurrences of any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringCount\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringDelete":"RowBox[{\"StringDelete\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields the string obtained by deleting from StyleBox[\"string\", \"TI\"] all occurrences of anything matching the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"StringDelete\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringDelete that can be applied to an expression.", - "StringDrop":"RowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with its first StyleBox[\"n\", \"TI\"] characters dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with its last StyleBox[\"n\", \"TI\"] characters dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with its StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] character dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives \"\nStyleBox[\"string\", \"TI\"]\" with characters StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] dropped. \nRowBox[{\"StringDrop\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringEndsQ":"RowBox[{\"StringEndsQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if the end of StyleBox[\"string\", \"TI\"] matches the string pattern StyleBox[\"patt\", \"TI\"], and yields False otherwise.\nRowBox[{\"StringEndsQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the results for each of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringEndsQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringEndsQ that can be applied to an expression.", - "StringExpression":"RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"~~\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"~~\", StyleBox[\"…\", \"TR\"]}]}] or RowBox[{\"StringExpression\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a sequence of strings and symbolic string objects SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringExtract":"RowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] extracts the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] block of characters in StyleBox[\"string\", \"TI\"], where blocks of characters are defined as delimited by whitespace.\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts blocks at several positions in StyleBox[\"string\", \"TI\"].\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"sep\", \"TI\"], \"\", StyleBox[\"pos\", \"TI\"]}]}], \"]\"}] takes blocks to be delimited by separators that match StyleBox[\"sep\", \"TI\"].\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] extracts blocks at positions SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], delimiting with whitespace for the lowest level, newlines for the next level, and a successively increasing number of newlines thereafter.\nRowBox[{\"StringExtract\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list of blocks, with the SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"i\", \"TI\"]] used as separators for successive levels.", - "StringForm":"RowBox[{\"StringForm\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"controlstring\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] prints as the text of the StyleBox[\"controlstring\", \"TI\"], with the printed forms of the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] embedded. ", - "StringFormat":"RowBox[{\"StringFormat\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to determine what ImportString format could be used to import the string \"\nStyleBox[\"string\", \"TI\"]\".", - "StringFreeQ":"RowBox[{\"StringFreeQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if no substring in \"StyleBox[\"string\", \"TI\"]\" matches the string expression StyleBox[\"patt\", \"TI\"], and yields False otherwise. \nRowBox[{\"StringFreeQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields True if no substring matches any of the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringFreeQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringFreeQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringFreeQ that can be applied to an expression.", - "StringInsert":"RowBox[{\"StringInsert\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] yields a string with \"\nStyleBox[\"snew\", \"TI\"]\" inserted starting at position StyleBox[\"n\", \"TI\"] in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringInsert\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] inserts at position StyleBox[\"n\", \"TI\"] from the end of \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringInsert\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts a copy of \"\nStyleBox[\"snew\", \"TI\"]\" at each of the positions SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringInsert\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringJoin":"RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \"<>\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \"<>\", StyleBox[\"…\", \"TR\"]}], RowBox[{\"StringJoin\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], or RowBox[{\"StringJoin\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"s\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a string consisting of a concatenation of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringLength":"RowBox[{\"StringLength\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the number of characters in a string. ", - "StringMatchQ":"RowBox[{\"StringMatchQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] tests whether \"\nStyleBox[\"string\", \"TI\"]\" matches the string pattern StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringMatchQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"RegularExpression\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"regex\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}]}], \"]\"}] tests whether \"\nStyleBox[\"string\", \"TI\"]\" matches the specified regular expression. \nRowBox[{\"StringMatchQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringMatchQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringMatchQ that can be applied to an expression.", - "StringPadLeft":"RowBox[{\"StringPadLeft\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes StyleBox[\"string\", \"TI\"] be of length StyleBox[\"n\", \"TI\"], padding it on the left with spaces or truncating it if necessary. \nRowBox[{\"StringPadLeft\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"padding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] pads by repeating copies of the string StyleBox[\"padding\", \"TI\"].\nRowBox[{\"StringPadLeft\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] pads strings with spaces on the left to make them all the same length.\nRowBox[{\"StringPadLeft\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads or truncates to make all strings of length StyleBox[\"n\", \"TI\"].", - "StringPadRight":"RowBox[{\"StringPadRight\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] makes StyleBox[\"string\", \"TI\"] be of length StyleBox[\"n\", \"TI\"], padding it on the right with spaces or truncating it if necessary. \nRowBox[{\"StringPadRight\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"padding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] pads by repeating copies of the string StyleBox[\"padding\", \"TI\"].\nRowBox[{\"StringPadRight\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] pads strings with spaces on the right to make them all the same length.\nRowBox[{\"StringPadRight\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] pads or truncates to make all strings of length StyleBox[\"n\", \"TI\"].", - "StringPart":"RowBox[{\"StringPart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] character in \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringPart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]]SuperscriptBox[\"\", \"th\"] characters in \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringPart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \";;\", StyleBox[\"n\", \"TI\"], \";;\", StyleBox[\"s\", \"TI\"]}]}], \"]\"}] gives a list of the characters in \"\nStyleBox[\"string\", \"TI\"]\" from the StyleBox[\"m\", \"TI\"]SuperscriptBox[\"\", \"th\"] through the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] in steps of StyleBox[\"s\", \"TI\"].\nRowBox[{\"StringPart\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "StringPartition":"RowBox[{\"StringPartition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] partitions StyleBox[\"string\", \"TI\"] into nonoverlapping substrings of length StyleBox[\"n\", \"TI\"].\nRowBox[{\"StringPartition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"]}], \"]\"}] generates substrings with offset StyleBox[\"d\", \"TI\"].", - "StringPosition":"RowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sub\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a list of the starting and ending character positions at which \"\nStyleBox[\"sub\", \"TI\"]\" appears as a substring of \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives all positions at which substrings matching the general string expression StyleBox[\"patt\", \"TI\"] appear in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] includes only the first StyleBox[\"n\", \"TI\"] occurrences of StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives positions of all the SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringPosition\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringPosition\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringPosition that can be applied to an expression.", - "StringQ":"RowBox[{\"StringQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a string, and False otherwise.", - "StringRepeat":"RowBox[{\"StringRepeat\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"str\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] creates a string consisting of \"StyleBox[\"str\", \"TI\"]\" repeated StyleBox[\"n\", \"TI\"] times.\nRowBox[{\"StringRepeat\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"str\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"]\"}] creates a string consisting of up to StyleBox[\"n\", \"TI\"] copies of \"StyleBox[\"str\", \"TI\"]\", truncated to be of maximum total length at most StyleBox[\"max\", \"TI\"].", - "StringReplace":"RowBox[{\"StringReplace\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"s\", \"TI\"], \"\", StyleBox[\"sp\", \"TI\"]}]}], \"]\"}] replaces the string expression StyleBox[\"s\", \"TI\"] by StyleBox[\"sp\", \"TI\"] wherever it appears in \"StyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringReplace\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces the string expressions SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] by SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"i\", \"TI\"]] whenever they appear as substrings of \"StyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringReplace\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"srules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] does only the first StyleBox[\"n\", \"TI\"] replacements. \nRowBox[{\"StringReplace\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"srules\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringReplace\", \"[\", StyleBox[\"srules\", \"TI\"], \"]\"}] represents an operator form of StringReplace that can be applied to an expression.", - "StringReplaceList":"RowBox[{\"StringReplaceList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"s\", \"TI\"], \"\", StyleBox[\"sp\", \"TI\"]}]}], \"]\"}] or RowBox[{\"StringReplaceList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"sp\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the strings obtained by replacing each individual occurrence of substrings in \"\nStyleBox[\"string\", \"TI\"]\" matching the string expressions SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringReplaceList\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"srules\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a list of the first StyleBox[\"n\", \"TI\"] results obtained. \nRowBox[{\"StringReplaceList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"srules\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringReplacePart":"RowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] replaces the characters at positions StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in \"StyleBox[\"string\", \"TI\"]\" by \"StyleBox[\"snew\", \"TI\"]\". \nRowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts copies of \"StyleBox[\"snew\", \"TI\"]\" at several positions. \nRowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces characters at positions SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"i\", \"TI\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] in \"StyleBox[\"string\", \"TI\"]\" by \"SubscriptBox[StyleBox[\"snew\", \"TI\"], StyleBox[\"i\", \"TI\"]]\". \nRowBox[{\"StringReplacePart\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"snew\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] represents an operator form of StringReplacePart that can be applied to an expression.", - "StringReverse":"RowBox[{\"StringReverse\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] reverses the order of the characters in \"\nStyleBox[\"string\", \"TI\"]\". ", - "StringRiffle":"RowBox[{\"StringRiffle\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a string by concatenating all the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], with spaces inserted between them.\nRowBox[{\"StringRiffle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a string by concatenating the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"ij\", \"TI\"]], and inserting spaces at the lowest level and newlines at the higher level.\nRowBox[{\"StringRiffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"sep\", \"TI\"]}], \"]\"}] inserts the separator StyleBox[\"sep\", \"TI\"] between all elements in StyleBox[\"list\", \"TI\"].\nRowBox[{\"StringRiffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"left\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"sep\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"right\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"}\"}]}], \"]\"}] use StyleBox[\"left\", \"TI\"] and StyleBox[\"right\", \"TI\"] as delimiters after concatenation.\nRowBox[{\"StringRiffle\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] inserts separator SubscriptBox[StyleBox[\"sep\", \"TI\"], StyleBox[\"i\", \"TI\"]] between elements of StyleBox[\"list\", \"TI\"] at level StyleBox[\"i\", \"TI\"].", - "StringRotateLeft":"RowBox[{\"StringRotateLeft\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the characters in StyleBox[\"string\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the left.\nRowBox[{\"StringRotateLeft\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] cycles one position to the left.", - "StringRotateRight":"RowBox[{\"StringRotateRight\", \"[\", RowBox[{StyleBox[\"string\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] cycles the characters in StyleBox[\"string\", \"TI\"] StyleBox[\"n\", \"TI\"] positions to the right.\nRowBox[{\"StringRotateRight\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] cycles one position to the right.", - "StringSkeleton":"RowBox[{\"StringSkeleton\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a sequence of StyleBox[\"n\", \"TI\"] omitted characters in a string printed with Short. The standard print form for StringSkeleton is an ellipsis. ", - "StringSplit":"RowBox[{\"StringSplit\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] splits \"StyleBox[\"string\", \"TI\"]\" into a list of substrings separated by whitespace. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] splits into substrings separated by delimiters matching the string expression StyleBox[\"patt\", \"TI\"]. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] splits at any of the SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{StyleBox[\"patt\", \"TI\"], \"\", StyleBox[\"val\", \"TI\"]}]}], \"]\"}] inserts StyleBox[\"val\", \"TI\"] at the position of each delimiter. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] inserts SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at the position of each delimiter SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"StringSplit\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] splits into at most StyleBox[\"n\", \"TI\"] substrings. \nRowBox[{\"StringSplit\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringStartsQ":"RowBox[{\"StringStartsQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] yields True if the beginning of StyleBox[\"string\", \"TI\"] matches the string pattern StyleBox[\"patt\", \"TI\"], and yields False otherwise.\nRowBox[{\"StringStartsQ\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of the results for each of the SubscriptBox[StyleBox[\"string\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringStartsQ\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] represents an operator form of StringStartsQ that can be applied to an expression.", - "StringTake":"RowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives a string containing the first StyleBox[\"n\", \"TI\"] characters in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the last StyleBox[\"n\", \"TI\"] characters in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives the StyleBox[RowBox[{StyleBox[\"n\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] character in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives characters StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] in \"\nStyleBox[\"string\", \"TI\"]\". \nRowBox[{\"StringTake\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives a list of the substrings specified by the SubscriptBox[StyleBox[\"spec\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"StringTake\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"spec\", \"TI\"]}], \"]\"}] gives the list of results for each of the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "StringTemplate":"RowBox[{\"StringTemplate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields a TemplateObject expression that represents a string template to be applied to arguments. \nRowBox[{\"StringTemplate\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] uses RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], RowBox[{\"URL\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] or RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] as the source for the string template.\nRowBox[{\"StringTemplate\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", - "StringToByteArray":"RowBox[{\"StringToByteArray\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns a byte array corresponding to the UTF-8 encoding of the specified string.\nRowBox[{\"StringToByteArray\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the specified character encoding.", - "StringToStream":"RowBox[{\"StringToStream\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens an input stream for reading from a string. ", - "StringTrim":"RowBox[{\"StringTrim\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] trims whitespace from the beginning and end of \"\nStyleBox[\"string\", \"TI\"]\".\nRowBox[{\"StringTrim\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] trims substrings matching StyleBox[\"patt\", \"TI\"] from the beginning and end.", - "StripBoxes":"RowBox[{StripBoxes, \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] will strip out unnecessary boxes, spaces, and styles from a format expression.", - "StripOnInput":"StripOnInput is an option for certain boxes that determines whether the box should be stripped on evaluation.", - "StripWrapperBoxes":"StripWrapperBoxes is an option to TagBox that controls how boxes are stripped upon evaluation.", - "StructuralImportance":"RowBox[{\"StructuralImportance\", \"[\", StyleBox[\"rdist\", \"TI\"], \"]\"}] gives the structural importances for all components in the ReliabilityDistribution StyleBox[\"rdist\", \"TI\"].\nRowBox[{\"StructuralImportance\", \"[\", StyleBox[\"fdist\", \"TI\"], \"]\"}] gives the structural importances for all components in the FailureDistribution StyleBox[\"fdist\", \"TI\"].\nRowBox[{\"StructuralImportance\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], StyleBox[\",\", \"TI\"], RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the structural importance for the components SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … in the Boolean expression StyleBox[\"bexpr\", \"TI\"].", - "StructuredArray":"RowBox[{\"StructuredArray\", \"[\", RowBox[{StyleBox[\"st\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"data\", \"TI\"]}], \"]\"}] represents a SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"1\", \"TR\"]]×SubscriptBox[StyleBox[\"d\", \"TI\"], StyleBox[\"2\", \"TR\"]]×… array with structure type StyleBox[\"st\", \"TI\"] and specific content StyleBox[\"data\", \"TI\"]. ", - "StructuredSelection":"StructuredSelection is an option for Cell that specifies whether to allow only complete subexpressions in the cell to be selected interactively using the front end.", - "StruveH":"RowBox[{\"StruveH\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Struve function RowBox[{SubscriptBox[StyleBox[\"H\", SingleLetterItalics -> False, FontWeight -> \"Bold\"], StyleBox[\"n\", \"TI\"]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "StruveL":"RowBox[{\"StruveL\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the modified Struve function RowBox[{SubscriptBox[StyleBox[\"L\", SingleLetterItalics -> False, FontWeight -> \"Bold\"], \"n\"], \"(\", \"z\", \")\"}]. ", - "Stub":"Stub is an attribute which specifies that if a symbol is ever used, Needs should automatically be called on the context of the symbol. ", - "StudentTDistribution":"RowBox[{\"StudentTDistribution\", \"[\", StyleBox[\"ν\", \"TR\"], \"]\"}] represents a Student t distribution with StyleBox[\"ν\", \"TR\"] degrees of freedom.\nRowBox[{\"StudentTDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents a Student t distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"σ\", \"TR\"], and StyleBox[\"ν\", \"TR\"] degrees of freedom.", - "Style":"RowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] displays with StyleBox[\"expr\", \"TI\"] formatted using the specified option settings. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the option settings for the specified style in the current notebook. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"color\", \"TI\"]}], \"]\"}] displays using the specified color. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Bold\"}], \"]\"}] displays with fonts made bold. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Italic\"}], \"]\"}] displays with fonts made italic. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Underlined\"}], \"]\"}] displays with fonts underlined. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Larger\"}], \"]\"}] displays with fonts made larger. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Smaller\"}], \"]\"}] displays with fonts made smaller. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] displays with font size StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Tiny\"}], \"]\"}], RowBox[{\"Style\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", \"Small\"}], \"]\"}], etc. display with fonts that are tiny, small, etc. ", - "StyleBox":"RowBox[{StyleBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] is a low-level representation of StyleBox[\"boxes\", \"TI\"] to be shown with the specified option settings. \nRowBox[{StyleBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] uses the option setting for the specified style in the current notebook. ", - "StyleBoxAutoDelete":"StyleBoxAutoDelete is an option for selections that specifies whether a StyleBox wrapped around them should be automatically removed when the expression is edited.", - "StyleData":"RowBox[{\"StyleData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a low-level representation of the contents of a style definition cell.\nRowBox[{\"StyleData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"environment\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] represents the contents of a style definition cell in the style environment \"\nStyleBox[\"environment\", \"TI\"]\".", - "StyleDefinitions":"StyleDefinitions is an option for notebooks that gives definitions for the styles that can be used in a notebook. ", - "StyleForm":"RowBox[{\"StyleForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] prints using the specified style options. \nRowBox[{\"StyleForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] prints using the specified cell style in the current notebook. ", - "StyleMenuListing":"StyleMenuListing is an option for cells that specifies whether a given cell style is listed in the StyleBox[\"Format ▶ Style\", \"MenuName\"] submenu.", - "StyleNameDialogSettings":"StyleNameDialogSettings is a global option that specifies the cell style displayed in the StyleBox[\"Custom Style\", \"DialogElementName\"] dialog box.", - "StylePrint":"RowBox[{\"StylePrint\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] creates a new cell in the current notebook with the specified style, and prints StyleBox[\"expr\", \"TI\"] into it. \nRowBox[{\"StylePrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] uses the default style for the current notebook. ", - "StyleSheetPath":"StyleSheetPath is a global option that specifies which directories StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] searches to find stylesheets.", - "Subdivide":"RowBox[{\"Subdivide\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] generates the list RowBox[{\"{\", RowBox[{\"0\", \",\", RowBox[{\"1\", \"\/\", StyleBox[\"n\", \"TI\"]}], \",\", RowBox[{\"2\", \"\/\", StyleBox[\"n\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"], \",\", \"1\"}], \"}\"}].\nRowBox[{\"Subdivide\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates the list of values obtained by subdividing the interval 0 to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]] into StyleBox[\"n\", \"TI\"] equal parts.\nRowBox[{\"Subdivide\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates the list of values from subdividing the interval SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "Subfactorial":"RowBox[{\"Subfactorial\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the number of permutations of StyleBox[\"n\", \"TI\"] objects that leave no object fixed.", - "Subgraph":"RowBox[{\"Subgraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the subgraph of the graph StyleBox[\"g\", \"TI\"] generated by the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"Subgraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the subgraph generated by the edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"Subgraph\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the subgraph generated by the vertices and edges that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"Subgraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "SubMinus":"RowBox[{\"SubMinus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"-\", \"TR\"]].", - "SubPlus":"RowBox[{\"SubPlus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SubscriptBox[StyleBox[\"expr\", \"TI\"], \"+\"].", - "SubresultantPolynomialRemainders":"RowBox[{\"SubresultantPolynomialRemainders\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] gives the subresultant polynomial remainder sequence of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"SubresultantPolynomialRemainders\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the subresultant polynomial remainder sequence modulo the prime StyleBox[\"p\", \"TI\"].", - "SubresultantPolynomials":"RowBox[{\"SubresultantPolynomials\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] generates a list of subresultant polynomials of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"SubresultantPolynomials\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the subresultant polynomials modulo the prime StyleBox[\"p\", \"TI\"].", - "Subresultants":"RowBox[{\"Subresultants\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"]}], \"]\"}] generates a list of the principal subresultant coefficients of the polynomials SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]] with respect to the variable StyleBox[\"var\", \"TI\"].\nRowBox[{\"Subresultants\", \"[\", RowBox[{SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"poly\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"var\", \"TI\"], \",\", RowBox[{\"Modulus\", \"\", StyleBox[\"p\", \"TI\"]}]}], \"]\"}] computes the principal subresultant coefficients modulo the prime StyleBox[\"p\", \"TI\"]. ", - "Subscript":"RowBox[{\"Subscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. \nRowBox[{\"Subscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] formats as SubscriptBox[StyleBox[\"x\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\"}]].", - "SubscriptBox":"RowBox[{SubscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", - "SubscriptBoxOptions":"SubscriptBoxOptions is an option for selections that specifies settings for SubscriptBox objects.", - "Subsequences":"RowBox[{\"Subsequences\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the list of all possible subsequences of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives all subsequences containing at most StyleBox[\"n\", \"TI\"] elements. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives all subsequences containing exactly StyleBox[\"n\", \"TI\"] elements.\nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives all subsequences containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] elements. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] limits the result to the first StyleBox[\"s\", \"TI\"] subsequences. \nRowBox[{\"Subsequences\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] gives if possible the StyleBox[RowBox[{StyleBox[\"s\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] subsequence. ", - "Subset":"RowBox[{\"Subset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊂\", StyleBox[\"y\", \"TI\"], \"⊂\", StyleBox[\"…\", \"TR\"]}].", - "SubsetEqual":"RowBox[{\"SubsetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊆\", StyleBox[\"y\", \"TI\"], \"⊆\", StyleBox[\"…\", \"TR\"]}].", - "SubsetQ":"RowBox[{\"SubsetQ\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] yields True if SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] is a subset of SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], and False otherwise.", - "Subsets":"RowBox[{\"Subsets\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a list of all possible subsets of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives all subsets containing at most StyleBox[\"n\", \"TI\"] elements. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] gives all subsets containing exactly StyleBox[\"n\", \"TI\"] elements. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives all subsets containing between SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"max\", \"TI\"]] elements. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] limits the result to the first StyleBox[\"s\", \"TI\"] subsets. \nRowBox[{\"Subsets\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"nspec\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"s\", \"TI\"], \"}\"}]}], \"]\"}] gives if possible the StyleBox[RowBox[{StyleBox[\"s\", \"TI\"], \"\"}]]SuperscriptBox[\"\", \"th\"] subset. ", - "SubStar":"RowBox[{\"SubStar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SubscriptBox[StyleBox[\"expr\", \"TI\"], \"*\"].", - "SubstitutionSystem":"RowBox[{\"SubstitutionSystem\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a list representing the evolution of the substitution system with the specified rule from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps.\nRowBox[{\"SubstitutionSystem\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] gives the result of evolving StyleBox[\"init\", \"TI\"] for one step.\nRowBox[{\"SubstitutionSystem\", \"[\", StyleBox[\"rule\", \"TI\"], \"]\"}] is an operator form of SubstitutionSystem that corresponds to one step of evolution. ", - "Subsuperscript":"RowBox[{\"Subsuperscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is an object that formats as SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]]. ", - "SubsuperscriptBox":"RowBox[{SubsuperscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the low‐level box representation for SubsuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]] in notebook expressions. ", - "SubsuperscriptBoxOptions":"SubsuperscriptBoxOptions is an option for selections that specifies settings for SubsuperscriptBox objects.", - "Subtract":"RowBox[{StyleBox[\"x\", \"TI\"], \"-\", StyleBox[\"y\", \"TI\"]}] is equivalent to RowBox[{StyleBox[\"x\", \"TI\"], \"+\", RowBox[{\"(\", RowBox[{RowBox[{\"-\", \"1\"}], \"*\", StyleBox[\"y\", \"TI\"]}], \")\"}]}]. ", - "SubtractFrom":"RowBox[{StyleBox[\"x\", \"TI\"], \"-=\", StyleBox[\"dx\", \"TI\"]}] subtracts StyleBox[\"dx\", \"TI\"] from StyleBox[\"x\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", - "SubtractSides":"RowBox[{\"SubtractSides\", \"[\", RowBox[{StyleBox[\"rel\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] subtracts StyleBox[\"x\", \"TI\"] from each side of the equation or inequality StyleBox[\"rel\", \"TI\"].\nRowBox[{\"SubtractSides\", \"[\", RowBox[{SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"rel\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] subtracts the corresponding sides of two equations or inequalities.\nRowBox[{\"SubtractSides\", \"[\", StyleBox[\"rel\", \"TI\"], \"]\"}] subtracts the right-hand side of StyleBox[\"rel\", \"TI\"] from each side, producing a zero right-hand side.", - "SubValues":"RowBox[{\"SubValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all subvalues (values for RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], etc.) defined for the symbol StyleBox[\"f\", \"TI\"].", - "Succeeds":"RowBox[{\"Succeeds\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≻\", StyleBox[\"y\", \"TI\"], \"≻\", StyleBox[\"…\", \"TR\"]}].", - "SucceedsEqual":"RowBox[{\"SucceedsEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⪰\", StyleBox[\"y\", \"TI\"], \"⪰\", StyleBox[\"…\", \"TR\"]}].", - "SucceedsSlantEqual":"RowBox[{\"SucceedsSlantEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≽\", StyleBox[\"y\", \"TI\"], \"≽\", StyleBox[\"…\", \"TR\"]}].", - "SucceedsTilde":"RowBox[{\"SucceedsTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≿\", StyleBox[\"y\", \"TI\"], \"≿\", StyleBox[\"…\", \"TR\"]}].", - "Success":"RowBox[{\"Success\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"tag\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"assoc\", \"TI\"]}], \"]\"}] represents a success of a type indicated by StyleBox[\"tag\", \"TI\"], with details given by the association StyleBox[\"assoc\", \"TI\"].", - "SuchThat":"RowBox[{\"SuchThat\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∍\", StyleBox[\"y\", \"TI\"]}].", - "Sum":"RowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] evaluates the sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", \"1\"}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], \"f\"}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps RowBox[{StyleBox[\"d\", \"TI\"], \"\", StyleBox[\"i\", \"TI\"]}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates the multiple sum RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"i\", \"=\", SubscriptBox[\"i\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"i\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{UnderoverscriptBox[\"∑\", RowBox[{\"j\", \"=\", SubscriptBox[\"j\", StyleBox[\"min\", FontSlant -> \"Italic\"]]}], SubscriptBox[\"j\", StyleBox[\"max\", FontSlant -> \"Italic\"]], LimitsPositioning -> True], RowBox[{\"…\", \"f\"}]}]}]. \nRowBox[{\"Sum\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] gives the indefinite sum RowBox[{UnderscriptBox[\"∑\", \"i\"], \"f\"}].", - "SumConvergence":"RowBox[{\"SumConvergence\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives conditions for the sum RowBox[{UnderoverscriptBox[\"∑\", \"n\", \"∞\"], \"f\"}] to be convergent.\nRowBox[{\"SumConvergence\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives conditions for the multiple sum RowBox[{UnderoverscriptBox[\"∑\", SubscriptBox[\"n\", \"1\"], \"∞\"], RowBox[{UnderoverscriptBox[\"∑\", SubscriptBox[\"n\", \"2\"], \"∞\"], RowBox[{\"…\", \" \", \"f\"}]}]}] to be convergent.", - "SummationLayer":"RowBox[{\"SummationLayer\", \"[\", \"]\"}] represents a net layer that sums all of its input elements.", - "Sunday":"Sunday is a day of the week.", - "SunPosition":"RowBox[{\"SunPosition\", \"[\", \"]\"}] gives the position of the Sun for the current date and location.\nRowBox[{\"SunPosition\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the position of the Sun for the specified date.\nRowBox[{\"SunPosition\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the positions of the Sun for the specified location.\nRowBox[{\"SunPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the position of the Sun for the specified date and location.\nRowBox[{\"SunPosition\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the positions of the Sun for all specified locations on the specified dates.\nRowBox[{\"SunPosition\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", - "Sunrise":"RowBox[{\"Sunrise\", \"[\", \"]\"}] gives the time of the next sunrise for the current date and location.\nRowBox[{\"Sunrise\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the times of the next sunrise for the specified dates.\nRowBox[{\"Sunrise\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the times of the next sunrise for the specified locations.\nRowBox[{\"Sunrise\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the time of the next sunrise for the specified date and location.\nRowBox[{\"Sunrise\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the times of the next sunrise for all specified locations on the specified dates.\nRowBox[{\"Sunrise\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", - "Sunset":"RowBox[{\"Sunset\", \"[\", \"]\"}] gives the time of the next sunset for the current date and location.\nRowBox[{\"Sunset\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the time of the next sunset for the specified dates.\nRowBox[{\"Sunset\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the times of the next sunset for the specified locations.\nRowBox[{\"Sunset\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the time of the next sunset for the specified date and location.\nRowBox[{\"Sunset\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the times of the next sunset for all specified locations on the specified dates.\nRowBox[{\"Sunset\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] uses StyleBox[\"func\", \"TI\"] to determine what to return for extended locations.", - "SuperDagger":"RowBox[{\"SuperDagger\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"†\"].", - "SuperMinus":"RowBox[{\"SuperMinus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"-\"].", - "SupernovaData":"RowBox[{\"SupernovaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the supernova StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SupernovaData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified supernova entities.\nRowBox[{\"SupernovaData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "SuperPlus":"RowBox[{\"SuperPlus\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"+\"].", - "Superscript":"RowBox[{\"Superscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. ", - "SuperscriptBox":"RowBox[{SuperscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for SuperscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", - "SuperscriptBoxOptions":"SuperscriptBoxOptions is an option for selections that specifies settings for SuperscriptBox objects.", - "Superset":"RowBox[{\"Superset\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊃\", StyleBox[\"y\", \"TI\"], \"⊃\", StyleBox[\"…\", \"TR\"]}].", - "SupersetEqual":"RowBox[{\"SupersetEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊇\", StyleBox[\"y\", \"TI\"], \"⊇\", StyleBox[\"…\", \"TR\"]}].", - "SuperStar":"RowBox[{\"SuperStar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays as SuperscriptBox[StyleBox[\"expr\", \"TI\"], \"*\"].", - "Surd":"RowBox[{\"Surd\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the real-valued StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] root of StyleBox[\"x\", \"TI\"].", - "SurfaceColor":"RowBox[{\"SurfaceColor\", \"[\", StyleBox[\"dcol\", \"TI\"], \"]\"}] is a three-dimensional graphics directive which specifies that the surfaces which follow should act as diffuse reflectors of light with a color given by StyleBox[\"dcol\", \"TI\"]. \nRowBox[{\"SurfaceColor\", \"[\", RowBox[{StyleBox[\"dcol\", \"TI\"], \",\", StyleBox[\"scol\", \"TI\"]}], \"]\"}] specifies that a specular reflection component should be included, with a color given by StyleBox[\"scol\", \"TI\"]. \nRowBox[{\"SurfaceColor\", \"[\", RowBox[{StyleBox[\"dcol\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"scol\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] specifies that the reflection should occur with specular exponent StyleBox[\"n\", \"TI\"]. \nRowBox[{\"SurfaceColor\", \"[\", RowBox[{StyleBox[\"dcol\", \"TI\"], \",\", StyleBox[\"scol\", \"TI\"], \",\", StyleBox[\"gcol\", \"TI\"]}], \"]\"}] specifies that a color StyleBox[\"gcol\", \"TI\"] should be added as if there were an intrinsic glow in the polygon. ", - "SurfaceData":"RowBox[{\"SurfaceData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the surface StyleBox[\"entity\", \"TI\"].\nRowBox[{\"SurfaceData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified surface entities.\nRowBox[{\"SurfaceData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", \" \", StyleBox[\"property\", \"TI\"], \",\", \" \", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "SurfaceGraphics":"RowBox[{\"SurfaceGraphics\", \"[\", StyleBox[\"array\", \"TI\"], \"]\"}] is a representation of a three-dimensional plot of a surface, with heights of each point on a grid specified by values in StyleBox[\"array\", \"TI\"]. \nRowBox[{\"SurfaceGraphics\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"shades\", \"TI\"]}], \"]\"}] represents a surface, whose parts are shaded according to the array StyleBox[\"shades\", \"TI\"]. ", - "SurvivalDistribution":"RowBox[{\"SurvivalDistribution\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a survival distribution with event times SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SurvivalDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"cw\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"cw\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a survival distribution where events SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] occur with censor weights SubscriptBox[StyleBox[\"cw\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SurvivalFunction":"RowBox[{\"SurvivalFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the survival function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"SurvivalFunction\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the multivariate survival function for the distribution StyleBox[\"dist\", \"TI\"] evaluated at RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"SurvivalFunction\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the survival function as a pure function.", - "SurvivalModel":"RowBox[{\"SurvivalModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic survival model obtained from functions like SurvivalModelFit.", - "SurvivalModelFit":"RowBox[{\"SurvivalModelFit\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a survival model for event timesRowBox[{\" \", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", - "SuspendPacket":"RowBox[{\"SuspendPacket\", \"[\", \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet used for synchronization with the StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] kernel.", - "SuzukiDistribution":"RowBox[{\"SuzukiDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"ν\", \"TR\"]}], \"]\"}] represents the Suzuki distribution with shape parameters StyleBox[\"μ\", \"TR\"] and StyleBox[\"ν\", \"TR\"].", - "SuzukiGroupSuz":"RowBox[{\"SuzukiGroupSuz\", \"[\", \"]\"}] represents the sporadic simple Suzuki group Suz.", - "SwatchLegend":"RowBox[{\"SwatchLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a legend that associates swatches of colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]] with labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SwatchLegend\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"Automatic\"}], \"]\"}] generates a legend with placeholder labels for the colors SubscriptBox[StyleBox[\"col\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SwatchLegend\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a legend with inherited colors within visualization functions.", - "Switch":"RowBox[{\"Switch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], then compares it with each of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]] in turn, evaluating and returning the SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the first match found. ", - "Symbol":"RowBox[{\"Symbol\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] refers to a symbol with the specified name. ", - "SymbolName":"RowBox[{\"SymbolName\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] gives the name of the specified symbol. ", - "SymletWavelet":"RowBox[{\"SymletWavelet\", \"[\", \"]\"}] represents the Symlet wavelet of order 4.\nRowBox[{\"SymletWavelet\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the Symlet wavelet of order StyleBox[\"n\", \"TI\"].", - "Symmetric":"RowBox[{\"Symmetric\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the symmetry of a tensor that is symmetric in the slots SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "SymmetricGroup":"RowBox[{\"SymmetricGroup\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the symmetric group of degree StyleBox[\"n\", \"TI\"].", - "SymmetricKey":"RowBox[{\"SymmetricKey\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] represents all the information needed for encryption, decryption, and other operations in a symmetric cryptographic system.", - "SymmetricMatrixQ":"RowBox[{\"SymmetricMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is explicitly symmetric, and False otherwise. ", - "SymmetricPolynomial":"RowBox[{\"SymmetricPolynomial\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] elementary symmetric polynomial in the variables RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", - "SymmetricReduction":"RowBox[{\"SymmetricReduction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives a pair of polynomials RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}] in RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], \"1\"], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}] such that RowBox[{StyleBox[\"f\", \"TI\"], \"==\", RowBox[{StyleBox[\"p\", \"TI\"], \"+\", StyleBox[\"q\", \"TI\"]}]}], where StyleBox[\"p\", \"TI\"] is the symmetric part and StyleBox[\"q\", \"TI\"] is the remainder.\nRowBox[{\"SymmetricReduction\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the pair RowBox[{\"{\", RowBox[{StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"q\", \"TI\"]}], \"}\"}] with the elementary symmetric polynomials in StyleBox[\"p\", \"TI\"] replaced by RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], \"1\"], \",\", \"…\", \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}].", - "Symmetrize":"RowBox[{\"Symmetrize\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] returns the symmetrization of StyleBox[\"tensor\", \"TI\"] under the symmetry StyleBox[\"sym\", \"TI\"].", - "SymmetrizedArray":"RowBox[{\"SymmetrizedArray\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] yields an array of dimensions StyleBox[\"dims\", \"TI\"] whose entries are given by those in the rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] or through the symmetry StyleBox[\"sym\", \"TI\"].\nRowBox[{\"SymmetrizedArray\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] yields a symmetrized array version of StyleBox[\"list\", \"TI\"].", - "SymmetrizedArrayRules":"RowBox[{\"SymmetrizedArrayRules\", \"[\", StyleBox[\"sa\", \"TI\"], \"]\"}] returns a list of rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] of the symmetrized array StyleBox[\"sa\", \"TI\"].\nRowBox[{\"SymmetrizedArrayRules\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] returns a list of rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}] of the array StyleBox[\"a\", \"TI\"] after being symmetrized with symmetry StyleBox[\"sym\", \"TI\"].", - "SymmetrizedDependentComponents":"RowBox[{\"SymmetrizedDependentComponents\", \"[\", RowBox[{StyleBox[\"comp\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] gives the list of components that are equivalent to the component StyleBox[\"comp\", \"TI\"] by the symmetry StyleBox[\"sym\", \"TI\"].", - "SymmetrizedIndependentComponents":"RowBox[{\"SymmetrizedIndependentComponents\", \"[\", RowBox[{StyleBox[\"dims\", \"TI\"], \",\", StyleBox[\"sym\", \"TI\"]}], \"]\"}] gives the list of independent components of an array of dimensions StyleBox[\"dims\", \"TI\"] with the symmetry StyleBox[\"sym\", \"TI\"].", - "SymmetrizedReplacePart":"RowBox[{\"SymmetrizedReplacePart\", \"[\", RowBox[{StyleBox[\"sa\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces independent values of the symmetrized array StyleBox[\"sa\", \"TI\"] as given by the rules RowBox[{SubscriptBox[StyleBox[\"pos\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]}].", - "SynchronousInitialization":"SynchronousInitialization is an option for Manipulate, DynamicModule, and related functions that specifies whether or not to evaluate the expression given as the setting for Initialization synchronously.", - "SynchronousUpdating":"SynchronousUpdating is an option for Manipulate, Dynamic, and related functions that specifies whether or not to evaluate their contents synchronously. ", - "SyntaxForm":"SyntaxForm is an option for InterpretationBox and TagBox objects that specifies the precedence level to use when the InterpretationBox or TagBox is considered as an operator.", - "SyntaxInformation":"RowBox[{\"SyntaxInformation\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives information used to generate syntax coloring and other advisories when RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] is entered as input. ", - "SyntaxLength":"RowBox[{\"SyntaxLength\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] finds the number of characters starting at the beginning of a string that correspond to syntactically correct input for a single StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression. ", - "SyntaxPacket":"RowBox[{\"SyntaxPacket\", \"[\", StyleBox[\"integer\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet where StyleBox[\"integer\", \"TI\"] indicates the position at which a syntax error was detected in the input line.", - "SyntaxQ":"RowBox[{\"SyntaxQ\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] returns True if the string corresponds to syntactically correct input for a single StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] expression, and returns False otherwise. \nRowBox[{\"SyntaxQ\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] uses interpretation rules corresponding to the specified form.", - "SystemDialogInput":"RowBox[{\"SystemDialogInput\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] brings up an interactive system dialog and returns the value chosen in the dialog. \nRowBox[{\"SystemDialogInput\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] uses StyleBox[\"init\", \"TI\"] as the initial setting in the dialog.", - "SystemGet":"RowBox[{\"SystemGet\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] loads source file with path encoded in \"StyleBox[\"filename\", \"TI\"]\"", - "SystemHelpPath":"SystemHelpPath is a global option that specifies which directories are searched for the help notebooks used within the help system.", - "SystemInformation":"RowBox[{\"SystemInformation\", \"[\", \"]\"}] gives detailed information about the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> {\"Mathematica\", \" system\"}] being run. \nRowBox[{\"SystemInformation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"comp\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of rules with information about the component \"\nStyleBox[\"comp\", \"TI\"]\". \nRowBox[{\"SystemInformation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"comp\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of property \"\nStyleBox[\"prop\", \"TI\"]\" for component \"\nStyleBox[\"comp\", \"TI\"]\".", - "SystemInstall":"RowBox[{\"SystemInstall\", \"[\", StyleBox[\"pack\", \"TI\"], \"]\"}] downloads and installs the software package StyleBox[\"pack\", \"TI\"] on your machine.", - "SystemModel":"RowBox[{\"SystemModel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"model\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a representation of the model \"StyleBox[\"model\", \"TI\"]\", usable as input to other functions.\nRowBox[{RowBox[{\"SystemModel\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"model\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}], \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the specified \"StyleBox[\"property\", \"TI\"]\" for the model \"StyleBox[\"model\", \"TI\"]\".", - "SystemModeler":"RowBox[{\"SystemModeler\", \"[\", \"]\"}] starts SystemModeler. \nRowBox[{\"SystemModeler\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] starts SystemModeler and opens the SystemModel StyleBox[\"model\", \"TI\"].\nRowBox[{\"SystemModeler\", \"[\", StyleBox[\"simulation\", \"TI\"], \"]\"}] starts SystemModeler with SystemModelSimulationData StyleBox[\"simulation\", \"TI\"].\nRowBox[{\"SystemModeler\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"action\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] starts SystemModeler and completes \"StyleBox[\"action\", \"TI\"]\".", - "SystemModelExamples":"RowBox[{\"SystemModelExamples\", \"[\", \"]\"}] shows an interactive browser of system modeling example models. \nRowBox[{\"SystemModelExamples\", \"[\", StyleBox[\"\\\"Models\\\"\",ShowStringCharacters->True], \"]\"}] lists all example models.\nRowBox[{\"SystemModelExamples\", \"[\", RowBox[{StyleBox[\"\\\"Models\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] lists models with names matching string pattern StyleBox[\"patt\", \"TI\"].", - "SystemModelLinearize":"RowBox[{\"SystemModelLinearize\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] gives a linearized state space to the model StyleBox[\"model\", \"TI\"] at an equilibrium. \nRowBox[{\"SystemModelLinearize\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] linearizes at state values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"10\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and input values RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"10\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "SystemModelParametricSimulate":"RowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates StyleBox[\"model\", \"TI\"] for the variable StyleBox[\"v\", \"TI\"] with parameters SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates StyleBox[\"model\", \"TI\"] for multiple variables SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] simulates from 0 to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelParametricSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] simulates from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "SystemModelPlot":"RowBox[{\"SystemModelPlot\", \"[\", StyleBox[\"sim\", \"TI\"], \"]\"}] shows preferred plots from the SystemModelSimulationData object StyleBox[\"sim\", \"TI\"].\nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{StyleBox[\"sim\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] shows stored plot \"StyleBox[\"name\", \"TI\"]\".\nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{StyleBox[\"sim\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] generates a plot of the variables SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in StyleBox[\"sim\", \"TI\"].\nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sim\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sim\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots variables from several simulations. \nRowBox[{\"SystemModelPlot\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots from a new simulation of \"StyleBox[\"model\", \"TI\"]\".", - "SystemModelProgressReporting":"SystemModelProgressReporting is an option for SystemModelSimulate and related functions that specifies how to report progress.", - "SystemModelReliability":"RowBox[{\"SystemModelReliability\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] retrieves the lifetime distribution for StyleBox[\"model\", \"TI\"].\nRowBox[{\"SystemModelReliability\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"Components\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of components in ReliabilityDistribution or FailureDistribution.\nRowBox[{\"SystemModelReliability\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"ComponentRules\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a list of translation rules for components.", - "SystemModels":"RowBox[{\"SystemModels\", \"[\", \"]\"}] returns a list of loaded system models.\nRowBox[{\"SystemModels\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] returns the models matching the string pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"SystemModels\", \"[\", RowBox[{StyleBox[\"patt\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"spec\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] only returns specialized models of the kind \"StyleBox[\"spec\", \"TI\"]\".", - "SystemModelSimulate":"RowBox[{\"SystemModelSimulate\", \"[\", StyleBox[\"model\", \"TI\"], \"]\"}] simulates StyleBox[\"model\", \"TI\"] according to experiment settings.\nRowBox[{\"SystemModelSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"]\"}] simulates from 0 to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] simulates from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulate\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] stores only simulation data for the variables StyleBox[\"vars\", \"TI\"].", - "SystemModelSimulateSensitivity":"RowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates StyleBox[\"model\", \"TI\"] and sensitivities to parameters SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"i\", \"TI\"]] following experiment settings.\nRowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates from 0 to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] simulates from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"SystemModelSimulateSensitivity\", \"[\", RowBox[{StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"vars\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] stores only simulation data for the variables StyleBox[\"vars\", \"TI\"].", - "SystemModelSimulationData":"RowBox[{\"SystemModelSimulationData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents simulation data from functions such as SystemModelSimulate etc. ", - "SystemOpen":"RowBox[{\"SystemOpen\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"target\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] opens the specified file, URL, or other target with the associated program on your computer system.", - "SystemOptions":"RowBox[{\"SystemOptions\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the current setting for the internal system option with the specified name.\nRowBox[{\"SystemOptions\", \"[\", \"]\"}] gives the current settings for all settable internal system options.", - "SystemProcessData":"SystemProcessData[] returns a Dataset containing information on the processes running on the host computer.", - "SystemProcesses":"SystemProcesses[] returns a list of ProcessObjects that represent system programs.", - "SystemsModelDelay":"RowBox[{\"SystemsModelDelay\", \"[\", StyleBox[\"δ\", \"TR\"], \"]\"}] represents a time delay of StyleBox[\"δ\", \"TR\"] in a StateSpaceModel or TransferFunctionModel.", - "SystemsModelDelayApproximate":"RowBox[{\"SystemsModelDelayApproximate\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"ord\", \"TI\"]}], \"]\"}] gives a delay-free system by using approximations of order StyleBox[\"ord\", \"TI\"] of the time delays in system StyleBox[\"sys\", \"TI\"].", - "SystemsModelDelete":"RowBox[{\"SystemsModelDelete\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] deletes the subsystem of the systems model StyleBox[\"sys\", \"TI\"] associated with inputs at position SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelDelete\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] also deletes the subsystem associated with outputs at positions SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelDelete\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", \" \", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes the subsystem of the state-space model StyleBox[\"sys\", \"TI\"] associated with inputs, outputs, and states at SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]], and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], respectively.", - "SystemsModelDimensions":"RowBox[{\"SystemsModelDimensions\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the number of inputs and outputs of the systems model StyleBox[\"sys\", \"TI\"].", - "SystemsModelExtract":"RowBox[{\"SystemsModelExtract\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] extracts the subsystem of the systems model StyleBox[\"sys\", \"TI\"] associated with inputs at position SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelExtract\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts the subsystem associated with inputs and outputs at positions SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]], respectively.\nRowBox[{\"SystemsModelExtract\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] extracts the subsystem of the state-space model StyleBox[\"sys\", \"TI\"] associated with inputs, outputs, and states at SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]], SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]], and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]], respectively.", - "SystemsModelFeedbackConnect":"RowBox[{\"SystemsModelFeedbackConnect\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] connects the outputs from StyleBox[\"sys\", \"TI\"] to the inputs with negative feedback. \nRowBox[{\"SystemsModelFeedbackConnect\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"con\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] only feedback connect the outputs and inputs in SubscriptBox[StyleBox[\"con\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"SystemsModelFeedbackConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] connects the outputs of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] and the outputs of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] to the inputs of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] in feedback.\nRowBox[{\"SystemsModelFeedbackConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects output SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"i\", \"TI\"]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] to the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] input of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] and the StyleBox[\"j\", \"TI\"]SuperscriptBox[\"\", \"th\"] output of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] to input SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] with feedback type SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"j\", \"TI\"]].", - "SystemsModelLabels":"SystemsModelLabels is an option to StateSpaceModel etc. that specifies labels of variables.", - "SystemsModelLinearity":"RowBox[{\"SystemsModelLinearity\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the linearity of the systems model StyleBox[\"sys\", \"TI\"].\nRowBox[{RowBox[{\"SystemsModelLinearity\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}]}]}], \"]\"}] only considers the subsystem associated with inputs SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"i\", \"TI\"]], outputs SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"j\", \"TI\"]], and states SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"k\", \"TI\"]].", - "SystemsModelMerge":"RowBox[{\"SystemsModelMerge\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] merges the systems models SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"j\", \"TI\"]]. ", - "SystemsModelOrder":"RowBox[{\"SystemsModelOrder\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the order of the state-space model StyleBox[\"sys\", \"TI\"].", - "SystemsModelParallelConnect":"RowBox[{\"SystemsModelParallelConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] connects the systems models SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] in parallel.\nRowBox[{\"SystemsModelParallelConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects the inputs SubscriptBox[SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"i\", \"TI\"]] to inputs SubscriptBox[StyleBox[\"in\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] and sums the outputs SubscriptBox[SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"1\", \"TR\"]], StyleBox[\"k\", \"TI\"]] and outputs SubscriptBox[SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"k\", \"TI\"]].", - "SystemsModelSeriesConnect":"RowBox[{\"SystemsModelSeriesConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] connects systems models SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]] in series. \nRowBox[{\"SystemsModelSeriesConnect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"out\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects outputs SubscriptBox[StyleBox[\"out\", \"TI\"], RowBox[{StyleBox[\"1\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"1\", \"TR\"]] to inputs SubscriptBox[StyleBox[\"in\", \"TI\"], RowBox[{StyleBox[\"2\", \"TR\"], StyleBox[\"i\", \"TI\"]}]] of SubscriptBox[StyleBox[\"sys\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "SystemsModelStateFeedbackConnect":"RowBox[{\"SystemsModelStateFeedbackConnect\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"con\", \"TI\"]}], \"]\"}] connects the states of the systems model StyleBox[\"sys\", \"TI\"] to the controller StyleBox[\"con\", \"TI\"] and the outputs of StyleBox[\"con\", \"TI\"] to the inputs of StyleBox[\"sys\", \"TI\"] in feedback.\nRowBox[{\"SystemsModelStateFeedbackConnect\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"con\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] connects state SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] of StyleBox[\"sys\", \"TI\"] to the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] input of StyleBox[\"con\", \"TI\"] and the StyleBox[\"j\", \"TI\"]SuperscriptBox[\"\", \"th\"] output of StyleBox[\"con\", \"TI\"] to input SubscriptBox[StyleBox[\"in\", \"TI\"], StyleBox[\"j\", \"TI\"]] of StyleBox[\"sys\", \"TI\"] with feedback type SubscriptBox[StyleBox[\"ftype\", \"TI\"], StyleBox[\"j\", \"TI\"]]", - "SystemsModelVectorRelativeOrders":"RowBox[{\"SystemsModelVectorRelativeOrders\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the vector-relative orders of the systems model StyleBox[\"sys\", \"TI\"].", - "SystemStub":"RowBox[{\"SystemStub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] saves definitions of given symbols RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] and all symbols in the given \"StyleBox[\"context\", \"TI\"]\" specified in source file with encoded path \"StyleBox[\"filename\", \"TI\"]\" and creates auto-loading rules for each symbol SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"i\", \"TI\"]]\nRowBox[{\"SystemStub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[RowBox[{StyleBox[\"e\", \"TI\"], \"s\", StyleBox[\"ym\", \"TI\"]}]], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also saves definitions for extra symbols RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"esym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], but does not create auto-loading rules for them.\nRowBox[{\"SystemStub\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"sym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"context\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"filename\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"esym\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also saves formatting rules for symbols RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"fs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for formatting patterns RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].", - "TabFilling":"TabFilling is an option for character selections that specifies how a StyleBox[\"Tab\", \"KeyEvent\"] character is represented on the screen.", - "Table":"RowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of StyleBox[\"n\", \"TI\"] copies of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a list of the values of StyleBox[\"expr\", \"TI\"] when StyleBox[\"i\", \"TI\"] runs from 1 to SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] starts with RowBox[{StyleBox[\"i\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]]}]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"di\", \"TI\"]}], \"}\"}]}], \"]\"}] uses steps StyleBox[\"di\", \"TI\"]. \nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}]}], \"]\"}] uses the successive values SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"Table\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"i\", \"TI\"], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"i\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list. The list associated with StyleBox[\"i\", \"TI\"] is outermost.", - "TableAlignments":"TableAlignments is an option for TableForm and MatrixForm which specifies how entries in each dimension should be aligned. ", - "TableDepth":"TableDepth is an option for TableForm and MatrixForm which specifies the maximum number of levels to be printed in tabular or matrix format. ", - "TableDirections":"TableDirections is an option for TableForm and MatrixForm which specifies whether successive dimensions should be arranged as rows or columns. ", - "TableForm":"RowBox[{\"TableForm\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] prints with the elements of StyleBox[\"list\", \"TI\"] arranged in an array of rectangular cells. ", - "TableHeadings":"TableHeadings is an option for TableForm and MatrixForm which gives the labels to be printed for entries in each dimension of a table or matrix. ", - "TableSpacing":"TableSpacing is an option for TableForm and MatrixForm which specifies how many spaces should be left between each successive row or column. ", - "TabSpacings":"TabSpacings is an option for character selections that specifies the number of spaces in ems that the cursor advances when the StyleBox[\"Tab\", \"KeyEvent\"] key is pressed.", - "TabView":"RowBox[{\"TabView\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", \" \", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents an object in which clicking the tab with label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]] displays SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"TabView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"i\", \"TI\"]}], \"]\"}] makes the StyleBox[\"i\", \"TI\"]SuperscriptBox[\"\", \"th\"] tab be the one currently selected.\nRowBox[{\"TabView\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] associates values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] with successive tabs, and makes the tab with value StyleBox[\"v\", \"TI\"] be the one currently selected. \nRowBox[{\"TabView\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] takes the tab labels to be successive integers.", - "TabViewBoxOptions":"RowBox[{TabViewBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TabViewBox objects.", - "TagBox":"RowBox[{TagBox, \"[\", RowBox[{StyleBox[\"boxes\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] is a low-level box construct that displays as StyleBox[\"boxes\", \"TI\"] but maintains StyleBox[\"tag\", \"TI\"] to guide the interpretation of StyleBox[\"boxes\", \"TI\"] on input. ", - "TagBoxOptions":"TagBoxOptions is an option that specifies settings for TagBox objects.", - "TaggingRules":"TaggingRules is an option for selections that specifies a list of strings to be associated with a selection.", - "TagSet":"RowBox[{StyleBox[\"f\", \"TI\"], \"\/:\", StyleBox[\"lhs\", \"TI\"], \"=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with the symbol StyleBox[\"f\", \"TI\"]. ", - "TagSetDelayed":"RowBox[{StyleBox[\"f\", \"TI\"], \"\/:\", StyleBox[\"lhs\", \"TI\"], \":=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the delayed value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with the symbol StyleBox[\"f\", \"TI\"]. ", - "TagUnset":"RowBox[{StyleBox[\"f\", \"TI\"], \"\/:\", RowBox[{StyleBox[\"lhs\", \"TI\"], \"=.\"}]}] removes any rules defined for StyleBox[\"lhs\", \"TI\"], associated with the symbol StyleBox[\"f\", \"TI\"]. ", - "Take":"RowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] elements of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"-\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] gives the last StyleBox[\"n\", \"TI\"] elements of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"}\"}]}], \"]\"}] gives elements StyleBox[\"m\", \"TI\"] through StyleBox[\"n\", \"TI\"] of StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list in which elements specified by SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]] are taken at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"]. ", - "TakeDrop":"RowBox[{\"TakeDrop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the pair RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], where SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]] contains the first StyleBox[\"n\", \"TI\"] elements of StyleBox[\"list\", \"TI\"] and SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]] contains the rest.\nRowBox[{\"TakeDrop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}] gives the pair RowBox[{\"{\", RowBox[{RowBox[{\"Take\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}], \",\", RowBox[{\"Drop\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"seq\", \"TI\"]}], \"]\"}]}], \"}\"}].", - "TakeLargest":"RowBox[{\"TakeLargest\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] numerically largest elements in StyleBox[\"list\", \"TI\"], sorted in descending order.\nRowBox[{\"TakeLargest\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents an operator form of TakeLargest that can be applied to an expression.", - "TakeLargestBy":"RowBox[{\"TakeLargestBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is largest, sorted in descending order.\nRowBox[{\"TakeLargestBy\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents an operator form of TakeLargestBy that can be applied to an expression. ", - "TakeList":"RowBox[{\"TakeList\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the list of results obtained by successively taking SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"i\", \"TI\"]] elements from StyleBox[\"list\", \"TI\"].\nRowBox[{\"TakeList\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] successively uses the sequence specifications SubscriptBox[StyleBox[\"seq\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"TakeList\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", SubscriptBox[StyleBox[\"seqs\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"seqs\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a nested list in which elements specified by the lists SubscriptBox[StyleBox[\"seqs\", \"TI\"], StyleBox[\"i\", \"TI\"]] are taken at level StyleBox[\"i\", \"TI\"] in StyleBox[\"list\", \"TI\"].", - "TakeSmallest":"RowBox[{\"TakeSmallest\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] numerically smallest elements in StyleBox[\"list\", \"TI\"], sorted in ascending order.\nRowBox[{\"TakeSmallest\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents an operator form of TakeSmallest that can be applied to an expression.", - "TakeSmallestBy":"RowBox[{\"TakeSmallestBy\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"] elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] in StyleBox[\"list\", \"TI\"] for which RowBox[{StyleBox[\"f\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is smallest, sorted in ascending order.\nRowBox[{\"TakeSmallestBy\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents an operator form of TakeSmallestBy that can be applied to an expression. ", - "TakeWhile":"RowBox[{\"TakeWhile\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] gives elements SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] from the beginning of StyleBox[\"list\", \"TI\"], continuing so long as RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.", - "Tally":"RowBox[{\"Tally\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] tallies the elements in StyleBox[\"list\", \"TI\"], listing all distinct elements together with their multiplicities.\nRowBox[{\"Tally\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] uses StyleBox[\"test\", \"TI\"] to determine whether pairs of elements should be considered equivalent, and gives a list of the first representatives of each equivalence class, together with their multiplicities.", - "Tan":"RowBox[{\"Tan\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the tangent of StyleBox[\"z\", \"TI\"].", - "Tanh":"RowBox[{\"Tanh\", \"[\", StyleBox[\"z\", \"TI\"], \"]\"}] gives the hyperbolic tangent of StyleBox[\"z\", \"TI\"].", - "TargetDevice":"TargetDevice is an option for certain functions that specifies whether CPU or GPU computation should be attempted.", - "TargetFunctions":"TargetFunctions is an option for functions such as ComplexExpand and FindDistribution that specifies what functions to attempt to generate in the output. ", - "TargetUnits":"TargetUnits is an option used to specify the desired output units for visualization functions operating on Quantity expressions.", - "TaskAbort":"RowBox[{\"TaskAbort\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] generates an interrupt to abort the current execution of a task.", - "TaskExecute":"RowBox[{\"TaskExecute\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] immediately executes an instance of the specified task, independently of any schedule given.", - "TaskObject":"RowBox[{\"TaskObject\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] is an object that represents a background task.", - "TaskRemove":"RowBox[{\"TaskRemove\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] terminates and removes the specified task.", - "TaskResume":"RowBox[{\"TaskResume\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] resumes execution of the specified task.", - "Tasks":"RowBox[{\"Tasks\", \"[\", \"]\"}] gives a list of TaskObject expressions that represent currently submitted tasks.", - "TaskSuspend":"RowBox[{\"TaskSuspend\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] suspends the execution of the specified task.", - "TaskWait":"RowBox[{\"TaskWait\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] waits for the specified task to be completely finished. ", - "TautologyQ":"RowBox[{\"TautologyQ\", \"[\", StyleBox[\"bf\", \"TI\"], \"]\"}] gives True if all combinations of values of variables make the Boolean function StyleBox[\"bf\", \"TI\"] yield True.\nRowBox[{\"TautologyQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives True if all combinations of values of the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] make the Boolean expression StyleBox[\"expr\", \"TI\"] yield True.", - "TelegraphProcess":"RowBox[{\"TelegraphProcess\", \"[\", StyleBox[\"μ\", \"TR\"], \"]\"}] represents a telegraph process with rate StyleBox[\"μ\", \"TR\"].", - "TemplateApply":"RowBox[{\"TemplateApply\", \"[\", StyleBox[\"template\", \"TI\"], \"]\"}] applies a template, evaluating all template elements it contains.\nRowBox[{\"TemplateApply\", \"[\", RowBox[{StyleBox[\"template\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] applies a template, using StyleBox[\"args\", \"TI\"] to fill slots in the template.", - "TemplateBox":"RowBox[{TemplateBox, \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] is a low-level box structure that parameterizes the display and evaluation of the boxes SubscriptBox[StyleBox[\"box\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "TemplateBoxOptions":"TemplateBoxOptions is an option that specifies settings for TemplateBox objects.", - "TemplateExpression":"RowBox[{\"TemplateExpression\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents an expression held until a template is applied, and then evaluated.", - "TemplateIf":"RowBox[{\"TemplateIf\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"tclause\", \"TI\"]}], \"]\"}] represents an element of a template object that inserts StyleBox[\"tclause\", \"TI\"] if the condition evaluates to True.\nRowBox[{\"TemplateIf\", \"[\", RowBox[{StyleBox[\"condition\", \"TI\"], \",\", StyleBox[\"tclause\", \"TI\"], \",\", StyleBox[\"fclause\", \"TI\"]}], \"]\"}] inserts StyleBox[\"fclause\", \"TI\"] if the condition does not evaluate to True.", - "TemplateObject":"RowBox[{\"TemplateObject\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents a template object to be applied using functions like TemplateApply.\nRowBox[{\"TemplateObject\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", - "TemplateSequence":"RowBox[{\"TemplateSequence\", \"[\", RowBox[{StyleBox[\"body\", \"TI\"], \",\", StyleBox[\"list\", \"TI\"]}], \"]\"}] represents an element of a template object that yields a sequence consisting of StyleBox[\"body\", \"TI\"] applied to each element in StyleBox[\"list\", \"TI\"].", - "TemplateSlot":"RowBox[{\"TemplateSlot\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a template slot to be filled from the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] argument when the template is applied.\nRowBox[{\"TemplateSlot\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] represents a template slot to be filled from an element with key StyleBox[\"name\", \"TI\"] in an association appearing in the first argument.", - "TemplateWith":"RowBox[{\"TemplateWith\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"\", StyleBox[\"value\", \"TI\"]}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] represents an element of a template object that evaluates StyleBox[\"expr\", \"TI\"] after replacing RowBox[{\"TemplateSlot\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] with StyleBox[\"value\", \"TI\"].\nRowBox[{\"TemplateWith\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"name\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"] with a list of key-value pairs.", - "TemporalData":"RowBox[{\"TemporalData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents temporal data with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"TemporalData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents a temporal data collection with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ij\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"TemporalData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \"]\"}] represents temporal data specified by time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"TemporalData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"11\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"21\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a temporal data collection given as lists of time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"ij\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ij\", \"TI\"]]}], \"}\"}].", - "TemporalRegularity":"TemporalRegularity is an option for TemporalData, TimeSeries, and EventSeries that controls whether the paths are assumed to be uniformly spaced in time.", - "Temporary":"Temporary is an attribute assigned to symbols which are created as local variables by Module. ", - "TensorContract":"RowBox[{\"TensorContract\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"12\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"22\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields the contraction of StyleBox[\"tensor\", \"TI\"] in the pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"1\", FontSlant -> \"Plain\"]}]], \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[StyleBox[RowBox[{\"i\", StyleBox[\"2\", FontSlant -> \"Plain\"]}]], \"TI\"]]}], \"}\"}] of slots.", - "TensorDimensions":"RowBox[{\"TensorDimensions\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the list of dimensions of StyleBox[\"tensor\", \"TI\"].", - "TensorExpand":"RowBox[{\"TensorExpand\", \"[\", StyleBox[\"texpr\", \"TI\"], \"]\"}] expands out tensor-related products in the symbolic tensor expression StyleBox[\"texpr\", \"TI\"].", - "TensorProduct":"RowBox[{\"TensorProduct\", \"[\", RowBox[{SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the tensor product of the SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "TensorRank":"RowBox[{\"TensorRank\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the rank of StyleBox[\"tensor\", \"TI\"].", - "TensorReduce":"RowBox[{\"TensorReduce\", \"[\", StyleBox[\"texpr\", \"TI\"], \"]\"}] attempts to return a canonical form for the symbolic tensor expression StyleBox[\"texpr\", \"TI\"].", - "TensorSymmetry":"RowBox[{\"TensorSymmetry\", \"[\", StyleBox[\"tensor\", \"TI\"], \"]\"}] gives the symmetry of StyleBox[\"tensor\", \"TI\"] under permutations of its slots.\nRowBox[{\"TensorSymmetry\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"slots\", \"TI\"]}], \"]\"}] gives the symmetry under permutation of the specified list of slots.", - "TensorTranspose":"RowBox[{\"TensorTranspose\", \"[\", RowBox[{StyleBox[\"tensor\", \"TI\"], \",\", StyleBox[\"perm\", \"TI\"]}], \"]\"}] represents the tensor obtained by transposing the slots of StyleBox[\"tensor\", \"TI\"] as given by the permutation StyleBox[\"perm\", \"TI\"].", - "TensorWedge":"RowBox[{\"TensorWedge\", \"[\", RowBox[{SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the antisymmetrized tensor product of the SubscriptBox[StyleBox[\"tensor\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "TestID":"TestID is an option to VerificationTest that specifies a string used as an identifier for the test.", - "TestReport":"RowBox[{\"TestReport\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a report of the results of the verification tests SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"TestReport\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] runs tests from a file, returning an analysis of the completed test run.", - "TestReportObject":"RowBox[{\"TestReportObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] gives an object that represents the results of TestReport.", - "TestResultObject":"RowBox[{\"TestResultObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] gives an object that represents the results of a VerificationTest.", - "Tetrahedron":"RowBox[{\"Tetrahedron\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled tetrahedron with corners SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]], and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"4\", \"TR\"]].\nRowBox[{\"Tetrahedron\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"1\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"2\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"3\"}], \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"1\", \",\", \"4\"}], \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[RowBox[{\"2\", \",\", \"1\"}], \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of tetrahedra.", - "TeXForm":"RowBox[{\"TeXForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as a TeX version of StyleBox[\"expr\", \"TI\"]. ", - "TeXSave":"RowBox[{\"TeXSave\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).tex\\\"\",ShowStringCharacters->True], \"]\"}] saves a TeX version of the current input notebook in the front end. \nRowBox[{\"TeXSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).tex\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"source\\\",\\\"TI\\\"]\\).nb\\\"\",ShowStringCharacters->True]}], \"]\"}] saves a TeX version of the notebook from the file RowBox[{StyleBox[\"source\", \"TI\"], \".\", \"nb\"}]. \nRowBox[{\"TeXSave\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\).tex\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"notebook\", \"TI\"]}], \"]\"}] saves a TeX version of the notebook corresponding to the specified notebook object. ", - "Text":"RowBox[{\"Text\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with StyleBox[\"expr\", \"TI\"] in plain text format. \nRowBox[{\"Text\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"coords\", \"TI\"]}], \"]\"}] is a graphics primitive that displays the textual form of StyleBox[\"expr\", \"TI\"] centered at the point specified by StyleBox[\"coords\", \"TI\"]. ", - "Text3DBoxOptions":"RowBox[{Text3DBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for Text3DBox objects.", - "TextAlignment":"TextAlignment is an option for Cell, Style and related constructs which specifies how successive lines of text should be aligned. ", - "TextCases":"RowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a list of all cases of StyleBox[\"form\", \"TI\"] that occur in StyleBox[\"text\", \"TI\"].\nRowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] cases that occur.\nRowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", RowBox[{StyleBox[\"form\", \"TI\"], \"\", StyleBox[\"prop\", \"TI\"]}]}], \"]\"}] gives the specified property for each case of StyleBox[\"form\", \"TI\"].\nRowBox[{\"TextCases\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", RowBox[{StyleBox[\"form\", \"TI\"], \"\", StyleBox[\"prop\", \"TI\"]}], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the specified property for the first StyleBox[\"n\", \"TI\"] cases.", - "TextCell":"RowBox[{\"TextCell\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a text cell that can appear in a StyleBox[\"Wolfram System\", \"RebrandingTerm\"] notebook.\nRowBox[{\"TextCell\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"style\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a text cell with the specified style.\nRowBox[{\"TextCell\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"style\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a text cell with multiple styles applied to it.", - "TextClipboardType":"TextClipboardType is an option for cells that specifies how StyleBox[\"Edit\", \"MenuName\"]StyleBox[\" ▶ \", \"MenuNameDelimiter\"]StyleBox[\"Copy\", \"MenuName\"] treats a cell when converting it for the system's textual clipboard.", - "TextData":"RowBox[{\"TextData\", \"[\", StyleBox[\"exprs\", \"TI\"], \"]\"}] is a low-level representation of the contents of a textual cell.", - "TextElement":"RowBox[{\"TextElement\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] represents an element of text with the specified properties.\nRowBox[{\"TextElement\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"props\", \"TI\"]}], \"]\"}] represents text formed from a sequence of elements.\nRowBox[{\"TextElement\", \"[\", StyleBox[\"elems\", \"TI\"], \"]\"}] represents text where no properties are specified. ", - "TextGrid":"RowBox[{\"TextGrid\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"22\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] is an object that formats SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"ij\", \"TI\"]] textually and arranged in a two-dimensional grid. ", - "TextJustification":"TextJustification is an option for Cell and Inset which specifies how much lines of text can be stretched in order to make them be the same length. ", - "TextPacket":"RowBox[{\"TextPacket\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] is a StyleBox[\"WSTP\", \"RebrandingTerm\", \"ReplacedText\" -> StyleBox[\"WolframLink\", FontSlant -> \"Italic\"]] packet containing StyleBox[\"string\", \"TI\"], the text output from StyleBox[\"the Wolfram System\", \"RebrandingTerm\"] as produced by functions such as Print.", - "TextPosition":"RowBox[{\"TextPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a list of the starting and ending positions at which instances of StyleBox[\"form\", \"TI\"] occur in StyleBox[\"text\", \"TI\"].\nRowBox[{\"TextPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the positions of the first StyleBox[\"n\", \"TI\"] instances that occur.", - "TextRecognize":"RowBox[{\"TextRecognize\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] recognizes text in StyleBox[\"image\", \"TI\"] and returns it as a string.\nRowBox[{\"TextRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"]}], \"]\"}] returns a list of strings at the specified structural level.\nRowBox[{\"TextRecognize\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"level\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns StyleBox[\"prop\", \"TI\"] for text at the given level.", - "TextSearch":"RowBox[{\"TextSearch\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] searches for files referenced by StyleBox[\"source\", \"TI\"] that contain text matching StyleBox[\"form\", \"TI\"].\nRowBox[{\"TextSearch\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the property StyleBox[\"prop\", \"TI\"] for each result.", - "TextSearchReport":"RowBox[{\"TextSearchReport\", \"[\", RowBox[{StyleBox[\"source\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives a structured report of files referenced by StyleBox[\"source\", \"TI\"] that contain text matching StyleBox[\"form\", \"TI\"].", - "TextSentences":"RowBox[{\"TextSentences\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the runs of characters identified as sentences in StyleBox[\"string\", \"TI\"].\nRowBox[{\"TextSentences\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] sentences in StyleBox[\"string\", \"TI\"].", - "TextString":"RowBox[{\"TextString\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a human-readable string representation of StyleBox[\"expr\", \"TI\"].", - "TextStructure":"RowBox[{\"TextStructure\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a nested collection of TextElement objects representing the grammatical structure of natural language text.\nRowBox[{\"TextStructure\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] generates a representation of the type specified by StyleBox[\"form\", \"TI\"] of the grammatical structure of text.", - "TextStyle":"TextStyle is an option for graphics functions and for Text which specifies the default style and font options with which text should be rendered. ", - "TextTranslation":"RowBox[{\"TextTranslation\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] translates StyleBox[\"text\", \"TI\"] into the current default language. \nRowBox[{\"TextTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] translates StyleBox[\"text\", \"TI\"] into the language specified by StyleBox[\"lang\", \"TI\"].\nRowBox[{\"TextTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"text\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] translates StyleBox[\"text\", \"TI\"] from language SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "Texture":"RowBox[{\"Texture\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] is a graphics directive that specifies that StyleBox[\"obj\", \"TI\"] should be used as a texture on faces of polygons and other filled graphics objects. ", - "TextureCoordinateFunction":"TextureCoordinateFunction is an option to Plot3D and similar functions that specifies a function that computes texture coordinates.", - "TextureCoordinateScaling":"TextureCoordinateScaling is an option to Plot3D and similar functions that specifies whether arguments supplied to a texture coordinate function should be scaled to lie between 0 and 1.", - "TextWords":"RowBox[{\"TextWords\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the runs of characters identified as words in StyleBox[\"string\", \"TI\"].\nRowBox[{\"TextWords\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the first StyleBox[\"n\", \"TI\"] words in StyleBox[\"string\", \"TI\"].", - "Therefore":"RowBox[{\"Therefore\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∴\", StyleBox[\"y\", \"TI\"]}].", - "ThermodynamicData":"RowBox[{\"ThermodynamicData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the value of the specific property for the substance \"\nStyleBox[\"name\", \"TI\"]\".\nRowBox[{\"ThermodynamicData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"\\\"Temperature\\\"\",ShowStringCharacters->True], \"\", SubscriptBox[StyleBox[\"quantity\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"\\\"Pressure\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"quantity\", \"TI\"]}]}], \"}\"}]}], \"]\"}] gives the value of the specific property for the substance \"\nStyleBox[\"name\", \"TI\"]\" at the specified temperature and pressure.", - "ThermometerGauge":"RowBox[{\"ThermometerGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a thermometer showing StyleBox[\"value\", \"TI\"] in a range of 0 to 1.\nRowBox[{\"ThermometerGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a thermometer showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"ThermometerGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the thermometer.", - "Thick":"Thick is a graphics directive that specifies that lines which follow should be drawn thick.", - "Thickness":"RowBox[{\"Thickness\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] is a graphics directive which specifies that lines which follow are to be drawn with thickness StyleBox[\"r\", \"TI\"]. The thickness StyleBox[\"r\", \"TI\"] is given as a fraction of the horizontal plot range. ", - "Thin":"Thin is a graphics directive that specifies that lines which follow should be drawn thin.", - "Thinning":"RowBox[{\"Thinning\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] finds the skeletons of foreground regions in StyleBox[\"image\", \"TI\"] by applying morphological thinning until convergence.\nRowBox[{\"Thinning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] performs StyleBox[\"n\", \"TI\"] iterations of morphological thinning.\nRowBox[{\"Thinning\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] treats values above StyleBox[\"t\", \"TI\"] as foreground.", - "ThisLink":"ThisLink is used in patterns for external packages to distinguish between several instances of the same package.", - "ThompsonGroupTh":"RowBox[{\"ThompsonGroupTh\", \"[\", \"]\"}] represents the sporadic simple Thompson group Th.", - "Thread":"RowBox[{\"Thread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}], \"]\"}] \"threads\" StyleBox[\"f\", \"TI\"] over any lists that appear in StyleBox[\"args\", \"TI\"]. \nRowBox[{\"Thread\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] threads StyleBox[\"f\", \"TI\"] over any objects with head StyleBox[\"h\", \"TI\"] that appear in StyleBox[\"args\", \"TI\"]. \nRowBox[{\"Thread\", \"[\", RowBox[{RowBox[{StyleBox[\"f\", \"TI\"], \"[\", StyleBox[\"args\", \"TI\"], \"]\"}], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] threads StyleBox[\"f\", \"TI\"] over objects with head StyleBox[\"h\", \"TI\"] that appear in the first StyleBox[\"n\", \"TI\"] StyleBox[\"args\", \"TI\"]. ", - "ThreadDepth":"ThreadDepth is an option for Quantity that specifies the level to which a unit should be threaded across its magnitude.", - "ThreadingLayer":"RowBox[{\"ThreadingLayer\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] represents a net layer that takes two input tensors and applies a function StyleBox[\"f\", \"TI\"] to corresponding tensor elements.", - "ThreeJSymbol":"RowBox[{\"ThreeJSymbol\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"j\", \"TI\"], StyleBox[\"3\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the values of the Wigner 3‐StyleBox[\"j\", \"TI\"] symbol. ", - "Threshold":"RowBox[{\"Threshold\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] thresholds StyleBox[\"data\", \"TI\"] by replacing values close to zero by zero.\nRowBox[{\"Threshold\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] thresholds StyleBox[\"data\", \"TI\"] using threshold specification StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"Threshold\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] thresholds an image.\nRowBox[{\"Threshold\", \"[\", RowBox[{StyleBox[\"sound\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] thresholds a sound object.", - "Through":"RowBox[{\"Through\", \"[\", RowBox[{RowBox[{StyleBox[\"p\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] gives RowBox[{StyleBox[\"p\", \"TI\"], \"[\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"[\", StyleBox[\"x\", \"TI\"], \"]\"}]}], \"]\"}]. \nRowBox[{\"Through\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] performs the transformation wherever StyleBox[\"h\", \"TI\"] occurs in the head of StyleBox[\"expr\", \"TI\"]. ", - "Throw":"RowBox[{\"Throw\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] stops evaluation and returns StyleBox[\"value\", \"TI\"] as the value of the nearest enclosing Catch.\nRowBox[{\"Throw\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", StyleBox[\"tag\", \"TI\"]}], \"]\"}] is caught only by RowBox[{\"Catch\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}], where StyleBox[\"tag\", \"TI\"] matches StyleBox[\"form\", \"TI\"].", - "ThueMorse":"RowBox[{\"ThueMorse\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] term in the Thue–Morse sequence.", - "Thumbnail":"RowBox[{\"Thumbnail\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] gives a thumbnail version of an image.\nRowBox[{\"Thumbnail\", \"[\", StyleBox[\"file\", \"TI\"], \"]\"}] gives a thumbnail of an image stored in a file.\nRowBox[{\"Thumbnail\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] gives a thumbnail of an image stored at a URL.\nRowBox[{\"Thumbnail\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"size\", \"TI\"]}], \"]\"}] gives a thumbnail with the specified maximum pixel size.", - "Thursday":"Thursday is a day of the week.", - "Ticks":"Ticks is an option for graphics functions that specifies tick marks for axes. ", - "TicksStyle":"TicksStyle is an option for graphics functions which specifies how ticks should be rendered.", - "TideData":"RowBox[{\"TideData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns the tidal properties for a location or a set of tidal parameters.\nRowBox[{\"TideData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] returns the specified property for the location or tidal parameters indicated.\nRowBox[{\"TideData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] returns the value of a specified property for a date or set of dates.", - "Tilde":"RowBox[{\"Tilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"∼\", StyleBox[\"y\", \"TI\"], \"∼\", \"…\"}].", - "TildeEqual":"RowBox[{\"TildeEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≃\", StyleBox[\"y\", \"TI\"], \"≃\", \"…\"}].", - "TildeFullEqual":"RowBox[{\"TildeFullEqual\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≅\", StyleBox[\"y\", \"TI\"], \"≅\", \"…\"}].", - "TildeTilde":"RowBox[{\"TildeTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≈\", StyleBox[\"y\", \"TI\"], \"≈\", \"…\"}].", - "TimeConstrained":"RowBox[{\"TimeConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], stopping after StyleBox[\"t\", \"TI\"] seconds. \nRowBox[{\"TimeConstrained\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"failexpr\", \"TI\"]}], \"]\"}] returns StyleBox[\"failexpr\", \"TI\"] if the time constraint is not met. ", - "TimeConstraint":"TimeConstraint is an option for various functions that specifies the maximum time to spend doing a particular operation. ", - "TimeDirection":"TimeDirection is an option for Sunrise, Sunset, and related functions that specifies whether the next or last event should be returned.", - "TimeFormat":"TimeFormat is an option that determines the time formatting that is used when formatting a TimeObject using TextString. ", - "TimeGoal":"TimeGoal is an option for various functions that specifies how long to spend doing a particular operation.", - "TimelinePlot":"RowBox[{\"TimelinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a timeline plot with dates SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"TimelinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a timeline plot with events SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"event\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"]. \nRowBox[{\"TimelinePlot\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a timeline plot from multiple event datasets SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "TimeObject":"RowBox[{\"TimeObject\", \"[\", \"]\"}] represents the current time.\nRowBox[{\"TimeObject\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] represents a time object of standard normalized form.\nRowBox[{\"TimeObject\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the time component of the specified date representation.", - "TimeObjectQ":"RowBox[{\"TimeObjectQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a TimeObject with valid arguments, and False otherwise.", - "Times":"RowBox[{StyleBox[\"x\", \"TI\"], \"*\", StyleBox[\"y\", \"TI\"], \"*\", StyleBox[\"z\", \"TI\"]}], RowBox[{StyleBox[\"x\", \"TI\"], \"×\", StyleBox[\"y\", \"TI\"], \"×\", StyleBox[\"z\", \"TI\"]}], or RowBox[{StyleBox[\"x\", \"TI\"], \" \", StyleBox[\"y\", \"TI\"], \" \", StyleBox[\"z\", \"TI\"]}] represents a product of terms. ", - "TimesBy":"RowBox[{StyleBox[\"x\", \"TI\"], \"*=\", StyleBox[\"c\", \"TI\"]}] multiplies StyleBox[\"x\", \"TI\"] by StyleBox[\"c\", \"TI\"] and returns the new value of StyleBox[\"x\", \"TI\"]. ", - "TimeSeries":"RowBox[{\"TimeSeries\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], StyleBox[\"…\", \"TR\"]}]}], \"}\"}], \"]\"}] represents a time series specified by time-value pairs RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]]}], \"}\"}].\nRowBox[{\"TimeSeries\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] represents a time series with values SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] at times specified by StyleBox[\"tspec\", \"TI\"].", - "TimeSeriesAggregate":"RowBox[{\"TimeSeriesAggregate\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"]}], \"]\"}] computes the mean value of StyleBox[\"tseries\", \"TI\"] over non-overlapping windows of width StyleBox[\"dt\", \"TI\"].\nRowBox[{\"TimeSeriesAggregate\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"dt\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the values of StyleBox[\"tseries\", \"TI\"] in non-overlapping windows of width StyleBox[\"dt\", \"TI\"].", - "TimeSeriesForecast":"RowBox[{\"TimeSeriesForecast\", \"[\", RowBox[{StyleBox[\"tproc\", \"TI\"], \",\", StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-step-ahead forecast beyond StyleBox[\"data\", \"TI\"] according to the time series process StyleBox[\"tproc\", \"TI\"].\nRowBox[{\"TimeSeriesForecast\", \"[\", RowBox[{StyleBox[\"tsmod\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-step-ahead forecast for TimeSeriesModel StyleBox[\"tsmod\", \"TI\"]. ", - "TimeSeriesInsert":"RowBox[{\"TimeSeriesInsert\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"}\"}]}], \"]\"}] inserts a value StyleBox[\"v\", \"TI\"] at time StyleBox[\"t\", \"TI\"] in the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"TimeSeriesInsert\", \"[\", RowBox[{SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] inserts the time-value pairs from SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"2\", \"TR\"]] into SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"1\", \"TR\"]].", - "TimeSeriesInvertibility":"RowBox[{\"TimeSeriesInvertibility\", \"[\", StyleBox[\"tproc\", \"TI\"], \"]\"}] gives conditions for the time series process StyleBox[\"tproc\", \"TI\"] to be invertible. ", - "TimeSeriesMap":"RowBox[{\"TimeSeriesMap\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tseries\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the values in StyleBox[\"tseries\", \"TI\"].", - "TimeSeriesMapThread":"RowBox[{\"TimeSeriesMapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tseries\", \"TI\"]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"]\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for the time series StyleBox[\"tseries\", \"TI\"].\nRowBox[{\"TimeSeriesMapThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", RowBox[{StyleBox[\"f\", \"TI\"], \"[\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"b\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] for the time series StyleBox[\"tseries\", \"TI\"].", - "TimeSeriesModel":"RowBox[{\"TimeSeriesModel\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents the symbolic time series model obtained from TimeSeriesModelFit.", - "TimeSeriesModelFit":"RowBox[{\"TimeSeriesModelFit\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] constructs a time series model for StyleBox[\"data\", \"TI\"] from an automatically selected model family.\nRowBox[{\"TimeSeriesModelFit\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"mspec\", \"TI\"]}], \"]\"}] constructs a time series model for StyleBox[\"data\", \"TI\"] from a model family specified by StyleBox[\"mspec\", \"TI\"].", - "TimeSeriesResample":"RowBox[{\"TimeSeriesResample\", \"[\", StyleBox[\"tseries\", \"TI\"], \"]\"}] uniformly resamples StyleBox[\"tseries\", \"TI\"] according to its minimum time increment.\nRowBox[{\"TimeSeriesResample\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"rspec\", \"TI\"]}], \"]\"}] resamples StyleBox[\"tseries\", \"TI\"] according to StyleBox[\"rspec\", \"TI\"].", - "TimeSeriesRescale":"RowBox[{\"TimeSeriesRescale\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] rescales the times in time series StyleBox[\"tseries\", \"TI\"] to run from SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"TimeSeriesRescale\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"u\", \"TI\"]]}], \"}\"}]}], \"]\"}] rescales times in units of SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"u\", \"TI\"]] including \"Month\", \"Quarter\", or \"Year\".", - "TimeSeriesShift":"RowBox[{\"TimeSeriesShift\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", StyleBox[\"shift\", \"TI\"]}], \"]\"}] shifts the time series StyleBox[\"tseries\", \"TI\"] to the left or right according to StyleBox[\"shift\", \"TI\"].", - "TimeSeriesThread":"RowBox[{\"TimeSeriesThread\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] combines the SubscriptBox[StyleBox[\"tseries\", \"TI\"], StyleBox[\"i\", \"TI\"]] using the function StyleBox[\"f\", \"TI\"].", - "TimeSeriesWindow":"RowBox[{\"TimeSeriesWindow\", \"[\", RowBox[{StyleBox[\"tseries\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the elements of the time series StyleBox[\"tseries\", \"TI\"] that fall between SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]].", - "TimeUsed":"RowBox[{\"TimeUsed\", \"[\", \"]\"}] gives the total number of seconds of CPU time used so far in the current StyleBox[\"Wolfram System\", \"RebrandingTerm\"] session. ", - "TimeValue":"RowBox[{\"TimeValue\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"i\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] calculates the time value of a security StyleBox[\"s\", \"TI\"] at time StyleBox[\"t\", \"TI\"] for an interest specified by StyleBox[\"i\", \"TI\"].", - "TimeWarpingCorrespondence":"RowBox[{\"TimeWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the time warping (DTW) similarity path between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"TimeWarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] uses a window of radius StyleBox[\"r\", \"TI\"] for local search.", - "TimeWarpingDistance":"RowBox[{\"TimeWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the dynamic time warping (DTW) distance between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"TimeWarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] uses a window of radius StyleBox[\"r\", \"TI\"] for local search.", - "TimeZone":"TimeZone is an option for DateObject, DateString, and related functions that specifies the time zone to use for dates and times. ", - "TimeZoneConvert":"RowBox[{\"TimeZoneConvert\", \"[\", RowBox[{StyleBox[\"time\", \"TI\"], \",\", StyleBox[\"timezone\", \"TI\"]}], \"]\"}] converts the date or time object StyleBox[\"time\", \"TI\"] to the specified time zone StyleBox[\"timezone\", \"TI\"].\nRowBox[{\"TimeZoneConvert\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] converts to the current $TimeZone value.\nRowBox[{\"TimeZoneConvert\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"timezone\", \"TI\"]}], \"]\"}] converts SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"time\", \"TI\"], StyleBox[\"n\", \"TI\"]] to the specified StyleBox[\"timezone\", \"TI\"].", - "TimeZoneOffset":"RowBox[{\"TimeZoneOffset\", \"[\", StyleBox[\"tz\", \"TI\"], \"]\"}] gives the numeric offset between the time zone StyleBox[\"tz\", \"TI\"] and GMT on the current date.\nRowBox[{\"TimeZoneOffset\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the numeric offset between the time zone for the location StyleBox[\"loc\", \"TI\"] and GMT.\nRowBox[{\"TimeZoneOffset\", \"[\", RowBox[{StyleBox[\"tz\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"]}], \"]\"}] gives the numeric offset between StyleBox[\"tz\", \"TI\"] and the specified StyleBox[\"base\", \"TI\"] time zone.\nRowBox[{\"TimeZoneOffset\", \"[\", RowBox[{StyleBox[\"tz\", \"TI\"], \",\", StyleBox[\"base\", \"TI\"], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives the numeric offset between StyleBox[\"tz\", \"TI\"] and StyleBox[\"base\", \"TI\"] on the specified StyleBox[\"date\", \"TI\"].", - "Timing":"RowBox[{\"Timing\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], and returns a list of the time in seconds used, together with the result obtained. ", - "Tiny":"Tiny is a style or option setting that specifies that objects should be tiny.", - "TitsGroupT":"RowBox[{\"TitsGroupT\", \"[\", \"]\"}] represents the simple Tits group T.", - "ToBoxes":"RowBox[{ToBoxes, \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] generates boxes corresponding to the printed form of StyleBox[\"expr\", \"TI\"] in StandardForm. \nRowBox[{ToBoxes, \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the boxes corresponding to output in the specified form. ", - "ToCharacterCode":"RowBox[{\"ToCharacterCode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of the integer codes corresponding to the characters in a string. \nRowBox[{\"ToCharacterCode\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"encoding\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives integer codes according to the specified encoding. ", - "ToColor":"RowBox[{\"ToColor\", \"[\", RowBox[{StyleBox[\"color\", \"TI\"], \",\", \" \", StyleBox[\"form\", \"TI\"]}], \"]\"}] converts StyleBox[\"color\", \"TI\"] to StyleBox[\"form\", \"TI\"] if StyleBox[\"form\", \"TI\"] is GrayLevel, RGBColor or CMYKColor. Otherwise RowBox[{StyleBox[\"form\", \"TI\"], \"[\", StyleBox[\"color\", \"TI\"], \"]\"}] is evaluated and the result is expected to be a valid color directive.", - "ToContinuousTimeModel":"RowBox[{\"ToContinuousTimeModel\", \"[\", StyleBox[\"lsys\", \"TI\"], \"]\"}] gives the continuous-time approximation of the discrete-time systems models StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"ToContinuousTimeModel\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] specifies the transform variable StyleBox[\"s\", \"TI\"].", - "ToDate":"RowBox[{\"ToDate\", \"[\", StyleBox[\"time\", \"TI\"], \"]\"}] converts an absolute time in seconds since the beginning of January 1, 1900 to a date of the form RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}]. ", - "Today":"Today gives a DateObject representing the current day.", - "ToDiscreteTimeModel":"RowBox[{\"ToDiscreteTimeModel\", \"[\", RowBox[{StyleBox[\"lsys\", \"TI\"], \",\", StyleBox[\"τ\", \"TR\"]}], \"]\"}] gives the discrete-time approximation, with sampling period StyleBox[\"τ\", \"TR\"], of the continuous-time systems models StyleBox[\"lsys\", \"TI\"].\nRowBox[{\"ToDiscreteTimeModel\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"τ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] specifies the transform variable StyleBox[\"z\", \"TI\"].", - "ToEntity":"RowBox[{\"ToEntity\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] returns an entity object corresponding to the given expression.\nRowBox[{\"ToEntity\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"type\", \"TI\"]}], \"]\"}] returns an entity object of the specified StyleBox[\"type\", \"TI\"] corresponding to StyleBox[\"expr\", \"TI\"].", - "ToeplitzMatrix":"RowBox[{\"ToeplitzMatrix\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the StyleBox[\"n\", \"TI\"]×StyleBox[\"n\", \"TI\"] Toeplitz matrix with first row and first column being successive integers.\nRowBox[{\"ToeplitzMatrix\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the Toeplitz matrix whose first column consists of elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"ToeplitzMatrix\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"m\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", \"…\", \",\", \" \", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the Toeplitz matrix with elements SubscriptBox[StyleBox[\"c\", \"TI\"], StyleBox[\"i\", \"TI\"]] down the first column, and SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] across the first row.", - "ToExpression":"RowBox[{\"ToExpression\", \"[\", StyleBox[\"input\", \"TI\"], \"]\"}] gives the expression obtained by interpreting strings or boxes as StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] input. \nRowBox[{\"ToExpression\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] uses interpretation rules corresponding to the specified form. \nRowBox[{\"ToExpression\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the expression produced before evaluating it. ", - "ToFileName":"RowBox[{\"ToFileName\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"directory\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] assembles a full file name from a directory name and a file name. \nRowBox[{\"ToFileName\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"name\", \"TI\"]}], \"]\"}] assembles a full file name from a hierarchy of directory names. \nRowBox[{\"ToFileName\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dir\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] assembles a single directory name from a hierarchy of directory names. ", - "Together":"RowBox[{\"Together\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] puts terms in a sum over a common denominator, and cancels factors in the result. ", - "Toggler":"RowBox[{\"Toggler\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a toggler button with setting StyleBox[\"x\", \"TI\"], that toggles between True and False. \nRowBox[{\"Toggler\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the value of StyleBox[\"x\", \"TI\"] being toggled if the button is clicked. \nRowBox[{\"Toggler\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a toggler button that cycles through any sequence of values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Toggler\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pict\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"pict\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] cycles through values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] displaying them as SubscriptBox[StyleBox[\"pict\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Toggler\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"], \",\", StyleBox[\"dpict\", \"TI\"]}], \"]\"}] displays as StyleBox[\"dpict\", \"TI\"] if StyleBox[\"x\", \"TI\"] is none of the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "TogglerBar":"RowBox[{\"TogglerBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a toggler bar with setting StyleBox[\"x\", \"TI\"] and with toggler buttons for values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] to include in the list StyleBox[\"x\", \"TI\"].\nRowBox[{\"TogglerBar\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] takes the setting to be the dynamically updated current value of StyleBox[\"x\", \"TI\"], with the values in the list StyleBox[\"x\", \"TI\"] being reset every time a toggler button is clicked.\nRowBox[{\"TogglerBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents a toggler bar in which the toggler button associated with value SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] has label SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "TogglerBoxOptions":"RowBox[{TogglerBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TogglerBox objects.", - "ToInvertibleTimeSeries":"RowBox[{\"ToInvertibleTimeSeries\", \"[\", StyleBox[\"tproc\", \"TI\"], \"]\"}] returns an invertible version of a time series process StyleBox[\"tproc\", \"TI\"].", - "TokenWords":"TokenWords is an option for Read and related functions which gives a list of token words to be used to delimit words. ", - "Tolerance":"Tolerance is an option for various numerical options which specifies the tolerance that should be allowed in computing results.", - "ToLowerCase":"RowBox[{\"ToLowerCase\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which all letters have been converted to lowercase. ", - "Tomorrow":"Tomorrow gives a DateObject representing the following day.", - "ToNumberField":"RowBox[{\"ToNumberField\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] expresses the algebraic number StyleBox[\"a\", \"TI\"] in the number field generated by StyleBox[\"θ\", \"TR\"]. \nRowBox[{\"ToNumberField\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] expresses the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the field generated by StyleBox[\"θ\", \"TR\"].\nRowBox[{\"ToNumberField\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] expresses the SubscriptBox[StyleBox[\"a\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a common extension field generated by a single algebraic number.", - "TooBig":"TooBig is an internal symbol.", - "Tooltip":"RowBox[{\"Tooltip\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"label\", \"TI\"]}], \"]\"}] displays StyleBox[\"label\", \"TI\"] as a tooltip while the mouse pointer is in the area where StyleBox[\"expr\", \"TI\"] is displayed. ", - "TooltipBoxOptions":"RowBox[{TooltipBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TooltipBox objects.", - "TooltipDelay":"TooltipDelay is an option for objects such as Tooltip that specifies how long to delay after the mouse is over the object before displaying the tooltip.", - "TooltipStyle":"TooltipStyle is an option for tooltips that specifies the style to use in displaying their elements. ", - "Top":"Top[q] gives the largest item in the queue q.", - "TopHatTransform":"RowBox[{\"TopHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"ker\", \"TI\"]}], \"]\"}] gives the morphological top-hat transform of StyleBox[\"image\", \"TI\"] with respect to structuring element StyleBox[\"ker\", \"TI\"].\nRowBox[{\"TopHatTransform\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the top-hat transform with respect to a range-StyleBox[\"r\", \"TI\"] square.\nRowBox[{\"TopHatTransform\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] applies top-hat transform to an array of data.", - "ToPolarCoordinates":"RowBox[{\"ToPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"]}], \"}\"}] polar coordinates corresponding to the Cartesian coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}].\nRowBox[{\"ToPolarCoordinates\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives the hyperspherical coordinates corresponding to the Cartesian coordinates RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}].", - "TopologicalSort":"RowBox[{\"TopologicalSort\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a list of vertices of StyleBox[\"g\", \"TI\"] in topologically sorted order for a directed acyclic graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TopologicalSort\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "ToRadicals":"RowBox[{\"ToRadicals\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] attempts to express all Root objects in StyleBox[\"expr\", \"TI\"] in terms of radicals. ", - "ToRules":"RowBox[{\"ToRules\", \"[\", StyleBox[\"eqns\", \"TI\"], \"]\"}] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve. ", - "ToSphericalCoordinates":"RowBox[{\"ToSphericalCoordinates\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}], \"]\"}] gives the RowBox[{\"{\", RowBox[{StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"}\"}] spherical coordinates corresponding to the Cartesian coordinates RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"}\"}].", - "ToString":"RowBox[{\"ToString\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives a string corresponding to the printed form of StyleBox[\"expr\", \"TI\"] in OutputForm. \nRowBox[{\"ToString\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] gives the string corresponding to output in the specified form. ", - "Total":"RowBox[{\"Total\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the total of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Total\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] totals all elements down to level StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Total\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", StyleBox[\"n\", \"TI\"], \"}\"}]}], \"]\"}] totals elements at level StyleBox[\"n\", \"TI\"]. \nRowBox[{\"Total\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] totals elements at levels SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]] through SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]]. ", - "TotalLayer":"RowBox[{\"TotalLayer\", \"[\", \"]\"}] represents a net layer taking a list of input tensors and performing elementwise addition on them.", - "TotalVariationFilter":"RowBox[{\"TotalVariationFilter\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] iteratively reduces noise while preserving rapid transitions in StyleBox[\"data\", \"TI\"].\nRowBox[{\"TotalVariationFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"param\", \"TI\"]}], \"]\"}] assumes a regularization parameter value StyleBox[\"param\", \"TI\"].", - "TotalWidth":"TotalWidth is an option that can be set for output streams to specify the maximum total number of characters of text that should be printed for each output expression. Short forms of expressions are given if the number of characters needed to print the whole expression is too large. ", - "TouchPosition":"RowBox[{\"TouchPosition\", \"[\", \"]\"}] gives the list of current positions being touched in the notebook front end.\nRowBox[{\"TouchPosition\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the touch positions with respect to the specified coordinate system.\nRowBox[{\"TouchPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives the position of the StyleBox[\"n\", \"TI\"]SuperscriptBox[\"\", \"th\"] position being touched in an object in the specified coordinate system.\nRowBox[{\"TouchPosition\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"coords\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"def\", \"TI\"]}], \"]\"}] returns StyleBox[\"def\", \"TI\"] if there are not StyleBox[\"n\", \"TI\"] positions being touched.", - "TouchscreenAutoZoom":"TouchscreenAutoZoom is an option for Manipulate and Graphics3D that determines whether the interface zooms to full-screen when it is activated by touching it on supported touch screen platforms.", - "TouchscreenControlPlacement":"TouchscreenControlPlacement is an option for Manipulate that determines the placement of the slide-out control panel on supported touchscreen platforms.", - "ToUpperCase":"RowBox[{\"ToUpperCase\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields a string in which all letters have been converted to uppercase. ", - "Tr":"RowBox[{\"Tr\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] finds the trace of the matrix or tensor StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Tr\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] finds a generalized trace, combining terms with StyleBox[\"f\", \"TI\"] instead of Plus. \nRowBox[{\"Tr\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] goes down to level StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"]. ", - "Trace":"RowBox[{\"Trace\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] generates a list of all expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"Trace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] includes only those expressions that match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"Trace\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] includes all evaluations that use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. ", - "TraceAbove":"TraceAbove is an option for Trace and related functions which specifies whether to include evaluation chains which contain the evaluation chain containing the pattern StyleBox[\"form\", \"TI\"] sought. ", - "TraceAction":"TraceAction is an option for TracePrint and TraceDialog that specifies the function to be applied to each expression they trace.", - "TraceBackward":"TraceBackward is an option for Trace and related functions which specifies whether to include preceding expressions on the evaluation chain that contains the pattern StyleBox[\"form\", \"TI\"] sought. ", - "TraceDepth":"TraceDepth is an option for Trace and related functions which specifies the maximum nesting of evaluation chains that are to be included. ", - "TraceDialog":"RowBox[{\"TraceDialog\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] initiates a dialog for every expression used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"TraceDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] initiates a dialog only for expressions which match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"TraceDialog\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] initiates dialogs only for expressions whose evaluations use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. ", - "TraceForward":"TraceForward is an option for Trace and related functions which specifies whether to include later expressions on the evaluation chain that contains the pattern StyleBox[\"form\", \"TI\"] sought. ", - "TraceInternal":"TraceInternal is an option for Trace and related functions which, if True or False, specifies whether to trace evaluations of expressions generated internally by Mathematica. The intermediate Automatic setting traces a selected set of internal evaluations including Messages and sets or unsets of visible symbols.", - "TraceLevel":"RowBox[{\"TraceLevel\", \"[\", \"]\"}] returns the level currently being traced when it appears within Trace and related functions.", - "TraceOff":"TraceOff is an option for Trace and related functions which specifies forms inside which tracing should be switched off. ", - "TraceOn":"TraceOn is an option for Trace and related functions which specifies when tracing should be switched on. ", - "TraceOriginal":"TraceOriginal is an option for Trace and related functions which specifies whether to test the form of each expression before its head and arguments are evaluated. ", - "TracePrint":"RowBox[{\"TracePrint\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints all expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"TracePrint\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] includes only those expressions which match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"TracePrint\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] includes all evaluations which use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. ", - "TraceScan":"RowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to all expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"]}], \"]\"}] includes only those expressions which match StyleBox[\"form\", \"TI\"]. \nRowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] includes all evaluations which use transformation rules associated with the symbol StyleBox[\"s\", \"TI\"]. \nRowBox[{\"TraceScan\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"fp\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] before evaluation and StyleBox[\"fp\", \"TI\"] after evaluation to expressions used in the evaluation of StyleBox[\"expr\", \"TI\"]. ", - "TrackedSymbols":"TrackedSymbols is an option to Refresh, Manipulate, and related functions that specifies which symbols should trigger updates when their values are changed.", - "TrackingFunction":"TrackingFunction is an option for Manipulate controls that specifies functions to use during interactive changing or editing.", - "TracyWidomDistribution":"RowBox[{\"TracyWidomDistribution\", \"[\", StyleBox[\"β\", \"TR\"], \"]\"}] represents a Tracy–Widom distribution with Dyson index StyleBox[\"β\", \"TR\"].", - "TradingChart":"RowBox[{\"TradingChart\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"open\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"high\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"low\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"close\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"volume\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] makes a chart showing prices and volume for each date. \nRowBox[{\"TradingChart\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"name\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"daterange\", \"TI\"]}], StyleBox[\"}\", \"TI\"]}], \"]\"}] makes a financial chart for the financial entity \"\nStyleBox[\"name\", \"TI\"]\" over the StyleBox[\"daterange\", \"TI\"]. \nRowBox[{\"TradingChart\", \"[\", RowBox[{RowBox[{\"{\", StyleBox[\"…\", \"TR\"], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] makes a financial chart with indicators SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"ind\", \"TI\"], StyleBox[\"2\", \"TR\"]], …. ", - "TraditionalForm":"RowBox[{\"TraditionalForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] prints as an approximation to the traditional mathematical notation for StyleBox[\"expr\", \"TI\"]. ", - "TraditionalFunctionNotation":"TraditionalFunctionNotation is an option for selections that specifies whether input of the form RowBox[{StyleBox[\"f\", \"TI\"], \"(\", StyleBox[\"x\", \"TI\"], \")\"}] is interpreted by the kernel as a function or as a product.", - "TrainingProgressCheckpointing":"TrainingProgressCheckpointing is an option for NetTrain that specifies how to save copies of the net during training.", - "TrainingProgressFunction":"TrainingProgressFunction is an option for NetTrain that specifies a function to run periodically during training.", - "TrainingProgressReporting":"TrainingProgressReporting is an option for NetTrain and related functions that specifies how to report the progress of training.", - "TransferFunctionCancel":"RowBox[{\"TransferFunctionCancel\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] cancels common poles and zeros in the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].\nRowBox[{\"TransferFunctionCancel\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"crit\", \"TI\"]}], \"]\"}] cancels only common pole-zero pairs SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] for which RowBox[{StyleBox[\"crit\", \"TI\"], \"[\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"]\"}] is True.", - "TransferFunctionExpand":"RowBox[{\"TransferFunctionExpand\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] expands polynomial terms in the numerators and denominators of the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].", - "TransferFunctionFactor":"RowBox[{\"TransferFunctionFactor\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] factors the polynomial terms in the numerators and denominators of the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].", - "TransferFunctionModel":"RowBox[{\"TransferFunctionModel\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] represents the model of the transfer-function matrix StyleBox[\"m\", \"TI\"] with complex variable StyleBox[\"s\", \"TI\"].\nRowBox[{\"TransferFunctionModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"num\", \"TI\"], \",\", StyleBox[\"den\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] specifies the numerator StyleBox[\"num\", \"TI\"] and denominator StyleBox[\"den\", \"TI\"] of a transfer-function model.\nRowBox[{\"TransferFunctionModel\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"g\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] specifies the zeros StyleBox[\"z\", \"TI\"], poles StyleBox[\"p\", \"TI\"], and gain StyleBox[\"g\", \"TI\"] of a transfer-function model.\nRowBox[{\"TransferFunctionModel\", \"[\", StyleBox[\"sys\", \"TI\"], \"]\"}] gives the transfer-function model of the systems model StyleBox[\"sys\", \"TI\"].", - "TransferFunctionPoles":"RowBox[{\"TransferFunctionPoles\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] gives a matrix of roots of the denominators in the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].\nRowBox[{\"TransferFunctionPoles\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] only gives the roots inside the region StyleBox[\"reg\", \"TI\"] on the complex plane.", - "TransferFunctionTransform":"RowBox[{\"TransferFunctionTransform\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"tf\", \"TI\"]}], \"]\"}] transforms the TransferFunctionModel object StyleBox[\"tf\", \"TI\"] using the transformation function StyleBox[\"f\", \"TI\"].", - "TransferFunctionZeros":"RowBox[{\"TransferFunctionZeros\", \"[\", StyleBox[\"tfm\", \"TI\"], \"]\"}] gives a matrix of roots of the numerators in the TransferFunctionModel StyleBox[\"tfm\", \"TI\"].\nRowBox[{\"TransferFunctionZeros\", \"[\", RowBox[{StyleBox[\"tfm\", \"TI\"], \",\", StyleBox[\"reg\", \"TI\"]}], \"]\"}] only gives the roots inside the region StyleBox[\"reg\", \"TI\"] on the complex plane.", - "TransformationClass":"TransformationClass is an option that specifies the class of geometric transformations to be used.", - "TransformationFunction":"RowBox[{\"TransformationFunction\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] represents a transformation function that applies geometric and other transformations.", - "TransformationFunctions":"TransformationFunctions is an option for Simplify and FullSimplify which gives the list of functions to apply to try to transform parts of an expression. ", - "TransformationMatrix":"RowBox[{\"TransformationMatrix\", \"[\", StyleBox[\"tfun\", \"TI\"], \"]\"}] gives the homogeneous matrix associated with a TransformationFunction object.", - "TransformedDistribution":"RowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] represents the transformed distribution of StyleBox[\"expr\", \"TI\"] where the random variable StyleBox[\"x\", \"TI\"] follows the distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", StyleBox[\"dist\", \"TI\"]}]}], \"]\"}] represents the transformed distribution of StyleBox[\"expr\", \"TI\"] where RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}] follows the multivariate distribution StyleBox[\"dist\", \"TI\"].\nRowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"proc\", \"TI\"]}]}], \"]\"}] represents the transformed distribution where StyleBox[\"expr\", \"TI\"] contains expressions of the form RowBox[{StyleBox[\"x\", \"TI\"], \"[\", StyleBox[\"t\", \"TI\"], \"]\"}], referring the value at time StyleBox[\"t\", \"TI\"] from the random process StyleBox[\"proc\", \"TI\"].\nRowBox[{\"TransformedDistribution\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \" \", \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}]}], \"]\"}] represents a transformed distribution where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the distributions SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dist\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "TransformedField":"RowBox[{\"TransformedField\", \"[\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}]}]}], \"]\"}] uses the coordinate transformation StyleBox[\"t\", \"TI\"] to transform the scalar, vector, or tensor field StyleBox[\"f\", \"TI\"] from coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "TransformedProcess":"RowBox[{\"TransformedProcess\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"proc\", \"TI\"]}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the transformed process of StyleBox[\"expr\", \"TI\"] where the variable StyleBox[\"x\", \"TI\"] follows the random process StyleBox[\"proc\", \"TI\"] and StyleBox[\"t\", \"TI\"] denotes the time.\nRowBox[{\"TransformedProcess\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents a transformed process where SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … are independent and follow the processes SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"proc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "TransformedRegion":"RowBox[{\"TransformedRegion\", \"[\", RowBox[{StyleBox[\"reg\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] represents the transformed region RowBox[{\"{\", RowBox[{RowBox[{\"f\", \"(\", \"p\", \")\"}], \"|\", RowBox[{\"p\", \"∈\", StyleBox[\"reg\", FontSlant -> \"Italic\"]}]}], \"}\"}], where StyleBox[\"reg\", \"TI\"] is a region and StyleBox[\"f\", \"TI\"] is a function.", - "TransitionDirection":"TransitionDirection is an option for PaneSelector that specifies the direction in which a transition moves.", - "TransitionDuration":"TransitionDuration is an option for PaneSelector that specifies the duration in seconds that a transition effect should last.", - "TransitionEffect":"TransitionEffect is an option for PaneSelector that specifies the visual effect used when transitioning between states.", - "TransitiveClosureGraph":"RowBox[{\"TransitiveClosureGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the transitive closure of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TransitiveClosureGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "TransitiveReductionGraph":"RowBox[{\"TransitiveReductionGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a transitive reduction of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TransitiveReductionGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "Translate":"RowBox[{\"Translate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents graphics primitives StyleBox[\"g\", \"TI\"] translated by the vector RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]. \nRowBox[{\"Translate\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], StyleBox[\"}\", \"TR\"]}], \",\", \" \", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents multiple copies of StyleBox[\"g\", \"TI\"] translated by a collection of vectors.", - "TranslationOptions":"RowBox[{\"TranslationOptions\", \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option for Style and Cell that controls how code translations are displayed.", - "TranslationTransform":"RowBox[{\"TranslationTransform\", \"[\", StyleBox[\"v\", \"TI\"], \"]\"}] gives a TransformationFunction that represents translation of points by a vector StyleBox[\"v\", \"TI\"].", - "Transliterate":"RowBox[{\"Transliterate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] attempts to transliterate StyleBox[\"string\", \"TI\"] into plain ASCII.\nRowBox[{\"Transliterate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"script\", \"TI\"]}], \"]\"}] attempts to transliterate StyleBox[\"string\", \"TI\"] into the specified writing script StyleBox[\"script\", \"TI\"].\nRowBox[{\"Transliterate\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] attempts to transliterate StyleBox[\"string\", \"TI\"] from SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"script\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "Transparent":"Transparent represents perfect transparency in graphics or style specifications. ", - "Transpose":"RowBox[{\"Transpose\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] transposes the first two levels in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Transpose\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] transposes StyleBox[\"list\", \"TI\"] so that the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] level in StyleBox[\"list\", \"TI\"] is the SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"k\", \"TI\"]]SuperscriptBox[\"\", \"th\"] level in the result. \nRowBox[{\"Transpose\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{StyleBox[\"m\", \"TI\"], \"\", StyleBox[\"n\", \"TI\"]}]}], \"]\"}] transposes levels StyleBox[\"m\", \"TI\"] and StyleBox[\"n\", \"TI\"] in StyleBox[\"list\", \"TI\"], leaving all other levels unchanged.", - "TransposeLayer":"RowBox[{\"TransposeLayer\", \"[\", \"]\"}] represents a net that transposes the first two levels of its input.\nRowBox[{\"TransposeLayer\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \"<->\", StyleBox[\"n\", \"TI\"]}], \"]\"}] represents a net that transposes levels StyleBox[\"m\", \"TI\"] and StyleBox[\"n\", \"TI\"] of its input.", - "TravelDirections":"RowBox[{\"TravelDirections\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates directions for travel from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"TravelDirections\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the property StyleBox[\"prop\", \"TI\"] of travel directions.", - "TravelDirectionsData":"RowBox[{\"TravelDirectionsData\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] represents travel directions generated by TravelDirections.", - "TravelDistance":"RowBox[{\"TravelDistance\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the estimated distance for travel from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "TravelDistanceList":"RowBox[{\"TravelDistanceList\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] returns the list RowBox[{\"{\", RowBox[{RowBox[{\"TravelDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", RowBox[{\"TravelDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[RowBox[{\"n\", \"-\", StyleBox[\"1\", FontSlant -> \"Plain\"]}], \"TI\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"]\"}]}], \"}\"}].", - "TravelMethod":"TravelMethod is an option for TravelDirections and related functions that specifies the mode of transportation to assume.", - "TravelTime":"RowBox[{\"TravelTime\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives the estimated time to travel from SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"loc\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….", - "TreeForm":"RowBox[{\"TreeForm\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays StyleBox[\"expr\", \"TI\"] as a tree with different levels at different depths. \nRowBox[{\"TreeForm\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] displays StyleBox[\"expr\", \"TI\"] as a tree only down to level StyleBox[\"n\", \"TI\"].", - "TreeGraph":"RowBox[{\"TreeGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a tree where SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"i\", \"TI\"]] is the predecessor of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] yields a tree with edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a tree with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and edges SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"j\", \"TI\"]], \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"j\", \"TI\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] yields a tree with vertex and edge properties defined by the symbolic wrappers SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"k\", \"TI\"]].\nRowBox[{\"TreeGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}], \",\", \"…\"}], \"}\"}], \"]\"}] uses rules RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"j\", \"TI\"]]}] to specify a tree.", - "TreeGraphQ":"RowBox[{\"TreeGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a tree and False otherwise.", - "TreePlot":"RowBox[{\"TreePlot\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] generates a tree plot of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TreePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"2\", \"TR\"]}]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a tree plot of the graph in which vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"ik\", \"TI\"]] is connected to vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"jk\", \"TI\"]].\nRowBox[{\"TreePlot\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"i\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]], \"\", SubscriptBox[StyleBox[\"v\", \"TI\"], RowBox[{StyleBox[\"j\", \"TI\"], \"\", StyleBox[\"1\", \"TR\"]}]]}], \",\", SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] associates labels SubscriptBox[StyleBox[\"lbl\", \"TI\"], StyleBox[\"k\", \"TI\"]] with edges in the graph.\nRowBox[{\"TreePlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"]}], \"]\"}] places roots of trees in the plot at position StyleBox[\"pos\", \"TI\"].\nRowBox[{\"TreePlot\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"pos\", \"TI\"], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]]}], \"]\"}] uses vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"k\", \"TI\"]] as the root node in the tree plot.", - "TrendStyle":"TrendStyle is an option to CandlestickChart, RenkoChart, and other financial charting functions that specifies how to style price trends. ", - "Triangle":"RowBox[{\"Triangle\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] represents a filled triangle with corner points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], and SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"3\", \"TR\"]].\nRowBox[{\"Triangle\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"13\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a collection of triangles. ", - "TriangleWave":"RowBox[{\"TriangleWave\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives a triangle wave that varies between RowBox[{\"-\", \"1\"}] and RowBox[{\"+\", \"1\"}] with unit period.\nRowBox[{\"TriangleWave\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives a triangle wave that varies between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"] with unit period.", - "TriangularDistribution":"RowBox[{\"TriangularDistribution\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] represents a symmetric triangular statistical distribution giving values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"]. \nRowBox[{\"TriangularDistribution\", \"[\", \"]\"}] represents a symmetric triangular statistical distribution giving values between 0 and 1.\nRowBox[{\"TriangularDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \",\", StyleBox[\"c\", \"TI\"]}], \"]\"}] represents a triangular distribution with mode at StyleBox[\"c\", \"TI\"].", - "TriangulateMesh":"RowBox[{\"TriangulateMesh\", \"[\", StyleBox[\"bmr\", \"TI\"], \"]\"}] generates a MeshRegion by triangulating inside the boundaries of a BoundaryMeshRegion StyleBox[\"bmr\", \"TI\"].", - "Trig":"Trig is an option for various polynomial manipulation functions that specifies whether trigonometric functions should be treated like polynomial elements.", - "TrigExpand":"RowBox[{\"TrigExpand\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] expands out trigonometric functions in StyleBox[\"expr\", \"TI\"]. ", - "TrigFactor":"RowBox[{\"TrigFactor\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] factors trigonometric functions in StyleBox[\"expr\", \"TI\"]. ", - "TrigFactorList":"RowBox[{\"TrigFactorList\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] factors trigonometric functions in StyleBox[\"expr\", \"TI\"], yielding a list of lists containing trigonometric monomials and exponents. ", - "Trigger":"RowBox[{\"Trigger\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \"]\"}] represents a trigger that can be pressed to make the dynamically updated value of StyleBox[\"u\", \"TI\"] be continually increased with time from 0 to 1. \nRowBox[{\"Trigger\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary from SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]] when triggered. \nRowBox[{\"Trigger\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"du\", \"TI\"]}], \"}\"}]}], \"]\"}] makes StyleBox[\"u\", \"TI\"] vary in steps StyleBox[\"du\", \"TI\"] when triggered. \nRowBox[{\"Trigger\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"u\", \"TI\"], \"]\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"ups\", \"TI\"]}], \"]\"}] makes the value of StyleBox[\"u\", \"TI\"] increase at a rate of StyleBox[\"ups\", \"TI\"] units per second when triggered. ", - "TrigReduce":"RowBox[{\"TrigReduce\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] rewrites products and powers of trigonometric functions in StyleBox[\"expr\", \"TI\"] in terms of trigonometric functions with combined arguments. ", - "TrigToExp":"RowBox[{\"TrigToExp\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] converts trigonometric functions in StyleBox[\"expr\", \"TI\"] to exponentials. ", - "TrimmedMean":"RowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the mean of the elements in StyleBox[\"list\", \"TI\"] after dropping a fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements.\nRowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the mean when a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are removed.\nRowBox[{\"TrimmedMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% trimmed mean RowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"TrimmedMean\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the trimmed mean of a univariate distribution StyleBox[\"dist\", \"TI\"].", - "TrimmedVariance":"RowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the variance of the elements in StyleBox[\"list\", \"TI\"] after dropping a fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements.\nRowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the variance when a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and a fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are removed.\nRowBox[{\"TrimmedVariance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% trimmed variance RowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"TrimmedVariance\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the trimmed variance of a univariate distribution StyleBox[\"dist\", \"TI\"].", - "TropicalStormData":"RowBox[{\"TropicalStormData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the tropical storm StyleBox[\"entity\", \"TI\"].\nRowBox[{\"TropicalStormData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified tropical storm entities.\nRowBox[{\"TropicalStormData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "True":"True is the symbol for the Boolean value true. ", - "TrueQ":"RowBox[{\"TrueQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] yields True if StyleBox[\"expr\", \"TI\"] is True, and yields False otherwise. ", - "TruncatedDistribution":"RowBox[{\"TruncatedDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution obtained by truncating the values of StyleBox[\"dist\", \"TI\"] to lie between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]].\nRowBox[{\"TruncatedDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] represents the distribution obtained by truncating the values of the multivariate distribution StyleBox[\"dist\", \"TI\"] to lie between SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] and SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], etc.", - "TsallisQExponentialDistribution":"RowBox[{\"TsallisQExponentialDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a Tsallis q-exponential distribution with scale inversely proportional to parameter StyleBox[\"λ\", \"TR\"].", - "TsallisQGaussianDistribution":"RowBox[{\"TsallisQGaussianDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"q\", \"TI\"]}], \"]\"}] represents a Tsallis StyleBox[\"q\", \"TI\"]-Gaussian distribution with mean StyleBox[\"μ\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and deformation parameter StyleBox[\"q\", \"TI\"].\nRowBox[{\"TsallisQGaussianDistribution\", \"[\", StyleBox[\"q\", \"TI\"], \"]\"}] represents a Tsallis StyleBox[\"q\", \"TI\"]-Gaussian distribution with mean 0 and scale parameter 1.", - "TTest":"RowBox[{\"TTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"TTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"TTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the mean against SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]].\nRowBox[{\"TTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "Tube":"RowBox[{\"Tube\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a 3D tube around the line joining a sequence of points.\nRowBox[{\"Tube\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a tube of radius StyleBox[\"r\", \"TI\"].\nRowBox[{\"Tube\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"11\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"12\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"pt\", \"TI\"], StyleBox[\"21\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a collection of tubes.\nRowBox[{\"Tube\", \"[\", RowBox[{StyleBox[\"curve\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents a tube around the specified 3D curve.", - "TubeBezierCurveBoxOptions":"RowBox[{TubeBezierCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TubeBezierCurveBox objects.", - "TubeBoxOptions":"RowBox[{TubeBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TubeBox objects.", - "TubeBSplineCurveBoxOptions":"RowBox[{TubeBSplineCurveBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for TubeBSplineCurveBox objects.", - "Tuesday":"Tuesday is a day of the week.", - "TukeyLambdaDistribution":"RowBox[{\"TukeyLambdaDistribution\", \"[\", StyleBox[\"λ\", \"TR\"], \"]\"}] represents Tukey's lambda distribution with shape parameter StyleBox[\"λ\", \"TR\"].\nRowBox[{\"TukeyLambdaDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents Tukey's lambda distribution with location parameter StyleBox[\"μ\", \"TR\"] and scale parameter StyleBox[\"σ\", \"TR\"].\nRowBox[{\"TukeyLambdaDistribution\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"μ\", \"TR\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] represents the generalized Tukey's lambda distribution with location parameter StyleBox[\"μ\", \"TR\"], scale parameters SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], and shape parameters SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"λ\", \"TR\"], StyleBox[\"2\", \"TR\"]].", - "TukeyWindow":"RowBox[{\"TukeyWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Tukey window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"TukeyWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "TunnelData":"RowBox[{\"TunnelData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the tunnel StyleBox[\"entity\", \"TI\"].\nRowBox[{\"TunnelData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified tunnel entities.\nRowBox[{\"TunnelData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Tuples":"RowBox[{\"Tuples\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] generates a list of all possible StyleBox[\"n\", \"TI\"]‐tuples of elements from StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Tuples\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of all possible tuples whose StyleBox[\"i\", \"TI\"]RowBox[{\"\", SuperscriptBox[\"\", \"th\"]}] element is from SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "TuranGraph":"RowBox[{\"TuranGraph\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"k\", \"TI\"]-partite Turán graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"T\", RowBox[{\"n\", \",\", \"k\"}]].", - "TuringMachine":"RowBox[{\"TuringMachine\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] generates a list representing the evolution of the Turing machine with the specified rule from initial condition StyleBox[\"init\", \"TI\"] for StyleBox[\"t\", \"TI\"] steps. \nRowBox[{\"TuringMachine\", \"[\", RowBox[{StyleBox[\"rule\", \"TI\"], \",\", StyleBox[\"init\", \"TI\"]}], \"]\"}] gives the result of evolving StyleBox[\"init\", \"TI\"] for one step. \nRowBox[{\"TuringMachine\", \"[\", StyleBox[\"rule\", \"TI\"], \"]\"}] is an operator form of TuringMachine that corresponds to one step of evolution.", - "TuttePolynomial":"RowBox[{\"TuttePolynomial\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the Tutte polynomial of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"TuttePolynomial\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "TwoWayRule":"RowBox[{StyleBox[\"x\", \"TI\"], \"<->\", StyleBox[\"y\", \"TI\"]}] or RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"]}] represents a two-way rule expressing exchange or correspondence of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"].", - "UnateQ":"RowBox[{\"UnateQ\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether the Boolean expression StyleBox[\"bexpr\", \"TI\"] is positive unate in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"UnateQ\", \"[\", RowBox[{StyleBox[\"bexpr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"¬\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{\"¬\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] tests whether the Boolean expression StyleBox[\"bexpr\", \"TI\"] is negative unate in the variables SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .", - "Uncompress":"RowBox[{\"Uncompress\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] recovers an expression from a compressed string representation generated by Compress.\nRowBox[{\"Uncompress\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"h\", \"TI\"]}], \"]\"}] wraps the head StyleBox[\"h\", \"TI\"] around the expression produced before evaluating it. ", - "Undefined":"Undefined is a symbol that represents a quantity with no defined value.", - "UnderBar":"RowBox[{\"UnderBar\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] displays with a bar under StyleBox[\"expr\", \"TI\"].", - "Underflow":"RowBox[{\"Underflow\", \"[\", \"]\"}] represents a number too small to represent explicitly on your computer system.", - "Underlined":"Underlined represents an underlined font.", - "Underoverscript":"RowBox[{\"Underoverscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is an object that formats as UnderoverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]]. ", - "UnderoverscriptBox":"RowBox[{UnderoverscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is the low‐level box representation for UnderoverscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], StyleBox[\"z\", \"TI\"]] in notebook expressions. ", - "UnderoverscriptBoxOptions":"UnderoverscriptBoxOptions is an option for selections that specifies settings for UnderoverscriptBox objects.", - "Underscript":"RowBox[{\"Underscript\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is an object that formats as UnderscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]]. ", - "UnderscriptBox":"RowBox[{UnderscriptBox, \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] is the low‐level box representation for UnderscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"]] in notebook expressions. ", - "UnderscriptBoxOptions":"UnderscriptBoxOptions is an option for selections that specifies settings for UnderscriptBox objects.", - "UnderseaFeatureData":"RowBox[{\"UnderseaFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the undersea feature StyleBox[\"entity\", \"TI\"].\nRowBox[{\"UnderseaFeatureData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified undersea feature entities.\nRowBox[{\"UnderseaFeatureData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "UndirectedEdge":"RowBox[{\"UndirectedEdge\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] or RowBox[{StyleBox[\"u\", \"TI\"], \"\", StyleBox[\"v\", \"TI\"]}] represents an undirected edge of a graph with vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "UndirectedGraph":"RowBox[{\"UndirectedGraph\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives an undirected graph from the directed graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"UndirectedGraph\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "UndirectedGraphQ":"RowBox[{\"UndirectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is an undirected graph and False otherwise.", - "UndoOptions":"UndoOptions is an option for Style that specifies settings for controlling the behavior of the front end's interactive undo\/redo system.", - "UndoTrackedVariables":"UndoTrackedVariables is an option for Manipulate, DynamicModule, and related functions that sets variables that should be tracked by the front end's undo mechanism.", - "Unequal":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"!=\", StyleBox[\"rhs\", \"TI\"]}] or RowBox[{StyleBox[\"lhs\", \"TI\"], \"≠\", StyleBox[\"rhs\", \"TI\"]}] returns False if StyleBox[\"lhs\", \"TI\"] and StyleBox[\"rhs\", \"TI\"] are identical. ", - "UnequalTo":"RowBox[{\"UnequalTo\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] is an operator form that yields StyleBox[RowBox[{\"x\", \"≠\", \"y\"}], \"TI\"] when applied to an expression StyleBox[\"x\", \"TI\"].", - "Unevaluated":"RowBox[{\"Unevaluated\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents the unevaluated form of StyleBox[\"expr\", \"TI\"] when it appears as the argument to a function. ", - "UniformDistribution":"RowBox[{\"UniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}], \"]\"}] represents a continuous uniform statistical distribution giving values between StyleBox[\"min\", \"TI\"] and StyleBox[\"max\", \"TI\"]. \nRowBox[{\"UniformDistribution\", \"[\", \"]\"}] represents a uniform distribution giving values between 0 and 1.\nRowBox[{\"UniformDistribution\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a multivariate uniform distribution over the region RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}].\nRowBox[{\"UniformDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a multivariate uniform distribution over the standard StyleBox[\"n\", \"TI\"] dimensional unit hypercube. ", - "UniformGraphDistribution":"RowBox[{\"UniformGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}], \"]\"}] represents a uniform graph distribution on StyleBox[\"n\", \"TI\"]-vertex, StyleBox[\"m\", \"TI\"]-edge graphs.", - "UniformSumDistribution":"RowBox[{\"UniformSumDistribution\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents the distribution of a sum of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from 0 to 1.\nRowBox[{\"UniformSumDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] represents the distribution of a sum of StyleBox[\"n\", \"TI\"] random variables uniformly distributed from StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].", - "Uninstall":"RowBox[{\"Uninstall\", \"[\", StyleBox[\"link\", \"TI\"], \"]\"}] terminates an external program started by Install, and removes StyleBox[\"Wolfram Language\", \"RebrandingTerm\"] definitions set up by it. ", - "Union":"RowBox[{\"Union\", \"[\", RowBox[{SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives a sorted list of all the distinct elements that appear in any of the SubscriptBox[StyleBox[\"list\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Union\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives a sorted version of a list, in which all duplicated elements have been dropped. ", - "UnionPlus":"RowBox[{\"UnionPlus\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⊎\", StyleBox[\"y\", \"TI\"], \"⊎\", StyleBox[\"…\", \"TR\"]}].", - "Unique":"RowBox[{\"Unique\", \"[\", \"]\"}] generates a new symbol, whose name is of the form StyleBox[RowBox[{\"$\", StyleBox[\"nnn\", \"TI\"]}]]. \nRowBox[{\"Unique\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] generates a new symbol, with a name of the form StyleBox[RowBox[{StyleBox[\"x\", \"TI\"], \"$\", StyleBox[\"nnn\", \"TI\"]}]]. \nRowBox[{\"Unique\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a list of new symbols. \nRowBox[{\"Unique\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"xxx\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] generates a new symbol, with a name of the form StyleBox[\"xxxnnn\", \"TI\"]. ", - "UnitaryMatrixQ":"RowBox[{\"UnitaryMatrixQ\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives True if StyleBox[\"m\", \"TI\"] is a unitary matrix, and False otherwise.", - "UnitBox":"RowBox[{UnitBox, \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the unit box function, equal to 1 for RowBox[{RowBox[{\"\", \"x\", \"\"}], \"≤\", FractionBox[\"1\", \"2\"]}] and 0 otherwise.\nRowBox[{UnitBox, \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional unit box function, equal to 1 if RowBox[{RowBox[{\"\", SubscriptBox[\"x\", \"i\"], \"\"}], \"≤\", FractionBox[\"1\", \"2\"]}] and 0 otherwise.", - "UnitConvert":"RowBox[{\"UnitConvert\", \"[\", RowBox[{StyleBox[\"quantity\", \"TI\"], \",\", StyleBox[\"targetunit\", \"TI\"]}], \"]\"}] attempts to convert the specified StyleBox[\"quantity\", \"TI\"] to the specified StyleBox[\"targetunit\", \"TI\"].\nRowBox[{\"UnitConvert\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] converts the specified StyleBox[\"quantity\", \"TI\"] to SI base units.", - "UnitDimensions":"RowBox[{\"UnitDimensions\", \"[\", StyleBox[\"unit\", \"TI\"], \"]\"}] returns a list of base dimensions associated with the specified StyleBox[\"unit\", \"TI\"].\nRowBox[{\"UnitDimensions\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] returns a list of base dimensions associated with the unit of the specified StyleBox[\"quantity\", \"TI\"].", - "Unitize":"RowBox[{\"Unitize\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] gives 0 when StyleBox[\"x\", \"TI\"] is zero, and 1 when StyleBox[\"x\", \"TI\"] has any other numerical value.", - "UnitRootTest":"RowBox[{\"UnitRootTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether data came from an autoregressive time series process with unit root.\nRowBox[{\"UnitRootTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\nStyleBox[\"\\\"\", \"TI\"] for a given model.", - "UnitSimplify":"RowBox[{\"UnitSimplify\", \"[\", StyleBox[\"quantity\", \"TI\"], \"]\"}] attempts to simplify the units of the specified StyleBox[\"quantity\", \"TI\"].", - "UnitStep":"RowBox[{\"UnitStep\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the unit step function, equal to 0 for RowBox[{\"x\", \"<\", \"0\"}] and 1 for RowBox[{\"x\", \"≥\", \"0\"}]. \nRowBox[{\"UnitStep\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional unit step function which is 1 only if none of the SubscriptBox[\"x\", \"i\"] are negative. ", - "UnitSystem":"UnitSystem is an option for functions like AirTemperatureData that determines the units of the result.", - "UnitTriangle":"RowBox[{\"UnitTriangle\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents the unit triangle function on the interval RowBox[{RowBox[{\"\", StyleBox[\"x\", \"TI\"], \"\"}], \"≤\", \"1\"}] .\nRowBox[{\"UnitTriangle\", \"[\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] represents the multidimensional unit triangle function on the interval RowBox[{RowBox[{\"\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]], \"\"}], \"≤\", \"1\"}].", - "UnitVector":"RowBox[{\"UnitVector\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] gives the two-dimensional unit vector in the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] direction.\nRowBox[{\"UnitVector\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the StyleBox[\"n\", \"TI\"]-dimensional unit vector in the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] direction.", - "UnitVectorLayer":"RowBox[{\"UnitVectorLayer\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] represents a net layer that transforms integers between 1 and StyleBox[\"n\", \"TI\"] into StyleBox[\"n\", \"TI\"]-dimensional unit vectors. \nRowBox[{\"UnitVectorLayer\", \"[\", \"]\"}] leaves the StyleBox[\"n\", \"TI\"] to be inferred from context.", - "UnityDimensions":"UnityDimensions is an option for UnitSimplify that specifies which UnitDimensions should be factored out.", - "UniverseModelData":"RowBox[{\"UniverseModelData\", \"[\", StyleBox[\"spec\", \"TI\"], \"]\"}] returns properties of the universe based on the default model at specification defined by the time after the Big Bang, the distance to the comoving object, or the redshift of such an object.\nRowBox[{\"UniverseModelData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] returns properties of universe StyleBox[\"model\", \"TI\"] at StyleBox[\"spec\", \"TI\"].\nRowBox[{\"UniverseModelData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] returns the specified property at the time or distance StyleBox[\"spec\", \"TI\"].\nRowBox[{\"UniverseModelData\", \"[\", RowBox[{StyleBox[\"spec\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"model\", \"TI\"]}], \"]\"}] returns the specified property at the time or distance StyleBox[\"spec\", \"TI\"] for the universe StyleBox[\"model\", \"TI\"].", - "UniversityData":"RowBox[{\"UniversityData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the university StyleBox[\"entity\", \"TI\"].\nRowBox[{\"UniversityData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified university entities.\nRowBox[{\"UniversityData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "UnixTime":"RowBox[{\"UnixTime\", \"[\", \"]\"}] gives the total number of seconds since the beginning of January 1, 1970, in the GMT time zone.\nRowBox[{\"UnixTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"h\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \"]\"}] gives the Unix time specification corresponding to a date list.\nRowBox[{\"UnixTime\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the Unix time specification corresponding to a DateObject.\nRowBox[{\"UnixTime\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the Unix time specification corresponding to a date string.\nRowBox[{\"UnixTime\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"}\"}], \"]\"}] takes the date string to contain the elements \"SubscriptBox[\nStyleBox[\"e\", \"TI\"], \nStyleBox[\"i\", \"TI\"]]\".", - "Unprotect":"RowBox[{\"Unprotect\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] removes the attribute Protected for the symbols SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"Unprotect\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_1\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"form\\\",\\\"TI\\\"]\\_2\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] unprotects all symbols whose names textually match any of the SubscriptBox[StyleBox[\"form\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "UnregisterExternalEvaluator":"RowBox[{\"UnregisterExternalEvaluator\", \"[\", RowBox[{StyleBox[\"sys\", \"TI\"], \",\", StyleBox[\"exec\", \"TI\"]}], \"]\"}] unregisters the external evaluator at location StyleBox[\"exec\", \"TI\"] for system StyleBox[\"sys\", \"TI\"] so that it is not used by ExternalEvaluate and related functions.\nRowBox[{\"UnregisterExternalEvaluator\", \"[\", StyleBox[\"uuid\", \"TI\"], \"]\"}] unregisters the external evaluator with the specified registration UUID.", - "UnsameQ":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"=!=\", StyleBox[\"rhs\", \"TI\"]}] yields True if the expression StyleBox[\"lhs\", \"TI\"] is not identical to StyleBox[\"rhs\", \"TI\"], and yields False otherwise. ", - "UnsavedVariables":"UnsavedVariables is an option for Manipulate, DynamicModule, and related functions that specifies local symbols that should not be saved when the notebook containing them is saved.", - "Unset":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"=.\"}] removes any rules defined for StyleBox[\"lhs\", \"TI\"]. ", - "UnsetShared":"RowBox[{\"UnsetShared\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] stops the sharing of the variables or functions SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] among parallel kernels.\nRowBox[{\"UnsetShared\", \"[\", StyleBox[\"patt\", \"TI\"], \"]\"}] stops the sharing of all variables and functions whose names match the string pattern StyleBox[\"patt\", \"TI\"].", - "UpArrow":"RowBox[{\"UpArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↑\", StyleBox[\"y\", \"TI\"], \"↑\", StyleBox[\"…\", \"TR\"]}].", - "UpArrowBar":"RowBox[{\"UpArrowBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⤒\", StyleBox[\"y\", \"TI\"], \"⤒\", StyleBox[\"…\", \"TR\"]}].", - "UpArrowDownArrow":"RowBox[{\"UpArrowDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⇅\", StyleBox[\"y\", \"TI\"], \"⇅\", StyleBox[\"…\", \"TR\"]}].", - "Update":"RowBox[{\"Update\", \"[\", StyleBox[\"symbol\", \"TI\"], \"]\"}] tells StyleBox[\"the Wolfram Language\", \"RebrandingTerm\"] that hidden changes have been made which could affect values associated with a symbol. \nRowBox[{\"Update\", \"[\", \"]\"}] specifies that the value of any symbol could be affected. ", - "UpdateInterval":"UpdateInterval is an option to Refresh and Dynamic that specifies at what time interval to do updates.", - "UpdateSearchIndex":"RowBox[{\"UpdateSearchIndex\", \"[\", StyleBox[\"obj\", \"TI\"], \"]\"}] updates the given search index object.\nRowBox[{\"UpdateSearchIndex\", \"[\", StyleBox[StyleBox[\"\\\"name\\\"\",ShowStringCharacters->True], \"TI\"], \"]\"}] updates the search index with the specified name in the RowBox[{\"SearchIndices\", \"[\", \"]\"}] list.", - "UpDownArrow":"RowBox[{\"UpDownArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↕\", StyleBox[\"y\", \"TI\"], \"↕\", StyleBox[\"…\", \"TR\"]}].", - "UpEquilibrium":"RowBox[{\"UpEquilibrium\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⥮\", StyleBox[\"y\", \"TI\"], \"⥮\", StyleBox[\"…\", \"TR\"]}].", - "UpperCaseQ":"RowBox[{\"UpperCaseQ\", \"[\", StyleBox[\"string\", \"TI\"], \"]\"}] yields True if all the characters in the string are uppercase letters, and yields False otherwise. ", - "UpperLeftArrow":"RowBox[{\"UpperLeftArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↖\", StyleBox[\"y\", \"TI\"], \"↖\", StyleBox[\"…\", \"TR\"]}].", - "UpperRightArrow":"RowBox[{\"UpperRightArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↗\", StyleBox[\"y\", \"TI\"], \"↗\", StyleBox[\"…\", \"TR\"]}].", - "UpperTriangularize":"RowBox[{\"UpperTriangularize\", \"[\", StyleBox[\"m\", \"TI\"], \"]\"}] gives a matrix in which all but the upper triangular elements of StyleBox[\"m\", \"TI\"] are replaced with zeros. \nRowBox[{\"UpperTriangularize\", \"[\", RowBox[{StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] replaces with zeros only the elements below the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] subdiagonal of StyleBox[\"m\", \"TI\"].", - "Upsample":"RowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] returns an upsampled version of the array by inserting RowBox[{\"n\", \"-\", \"1\"}] zeros between array elements.\nRowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"]}], \"]\"}] shifts StyleBox[\"array\", \"TI\"] so that its first element moves to the position StyleBox[\"offset\", \"TI\"] in the resulting array.\nRowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"array\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"offset\", \"TI\"], \",\", StyleBox[\"val\", \"TI\"]}], \"]\"}] inserts RowBox[{\"n\", \"-\", \"1\"}] elements of value StyleBox[\"val\", \"TI\"] between array elements.\nRowBox[{\"Upsample\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] upsamples an image.", - "UpSet":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"^=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with symbols that occur at level one in StyleBox[\"lhs\", \"TI\"]. ", - "UpSetDelayed":"RowBox[{StyleBox[\"lhs\", \"TI\"], \"^:=\", StyleBox[\"rhs\", \"TI\"]}] assigns StyleBox[\"rhs\", \"TI\"] to be the delayed value of StyleBox[\"lhs\", \"TI\"], and associates the assignment with symbols that occur at level one in StyleBox[\"lhs\", \"TI\"]. ", - "UpTee":"RowBox[{\"UpTee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"]\"}] displays as RowBox[{\"x\", \"⊥\", \"y\"}].", - "UpTeeArrow":"RowBox[{\"UpTeeArrow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"↥\", StyleBox[\"y\", \"TI\"], \"↥\", StyleBox[\"…\", \"TR\"]}].", - "UpTo":"RowBox[{\"UpTo\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] is a symbolic specification that represents up to StyleBox[\"n\", \"TI\"] objects or positions. If StyleBox[\"n\", \"TI\"] objects or positions are available, all are used. If fewer are available, only those available are used.", - "UpValues":"RowBox[{\"UpValues\", \"[\", StyleBox[\"f\", \"TI\"], \"]\"}] gives a list of transformation rules corresponding to all upvalues defined for the symbol StyleBox[\"f\", \"TI\"]. ", - "URL":"RowBox[{\"URL\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] is a symbolic representation of a URL.", - "URLBuild":"RowBox[{\"URLBuild\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"path\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] builds a URL with the specified path and query parameters and values SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"URLBuild\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] builds a URL from the path components SubscriptBox[StyleBox[\"path\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"URLBuild\", \"[\", RowBox[{StyleBox[\"path\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"]}], \"]\"}] builds a URL from a specification of a path and query parameters.\nRowBox[{\"URLBuild\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] builds a URL from an association of components.\nRowBox[{\"URLBuild\", \"[\", RowBox[{StyleBox[\"assoc\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"]}], \"]\"}] builds a URL from an association of components, plus query parameters and values.", - "URLDecode":"RowBox[{\"URLDecode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] decodes a URL-style percent-encoded string.", - "URLDispatcher":"RowBox[{\"URLDispatcher\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"content\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"content\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] represents a dispatcher for deployed URLs that specifies that URLs with relative paths matching the string patterns SubscriptBox[StyleBox[\"patt\", \"TI\"], StyleBox[\"i\", \"TI\"]] should give content represented by SubscriptBox[StyleBox[\"content\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "URLDownload":"RowBox[{\"URLDownload\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] downloads the content of the specified URL to a local temporary file.\nRowBox[{\"URLDownload\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] downloads the contents of the specified URLs to files in a local temporary directory.\nRowBox[{\"URLDownload\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"file\", \"TI\"]}], \"]\"}] downloads to a specified file.\nRowBox[{\"URLDownload\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"url\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"dir\", \"TI\"]}], \"]\"}] downloads to a specified directory.\nRowBox[{\"URLDownload\", \"[\", RowBox[{StyleBox[\"req\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] downloads the result of the specified HTTP request.\nRowBox[{\"URLDownload\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] downloads the results of the list of HTTP requests.", - "URLDownloadSubmit":"RowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", \" \", StyleBox[\"file\", \"TI\"]}], \"]\"}] submits the specified URL to be downloaded asynchronously to the file given.\nRowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"file\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] submits the specified URL, adding elements with names SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"URLDownloadSubmit\", \"[\", RowBox[{RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the specified HTTP request.", - "URLEncode":"RowBox[{\"URLEncode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] converts \"\nStyleBox[\"string\", \"TI\"]\" into a URL-style, percent-encoded ASCII string. ", - "URLExecute":"RowBox[{\"URLExecute\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] executes the specified URL, importing whatever result is generated.\nRowBox[{\"URLExecute\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] executes the specified URL, adding elements with names SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"URLExecute\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"params\", \"TI\"], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] imports the result using the specified format.\nRowBox[{\"URLExecute\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] executes the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"URLExecute\", \"[\", RowBox[{RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] executes the specified HTTP request.", - "URLExpand":"RowBox[{\"URLExpand\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] expands a shortened \"\nStyleBox[\"url\", \"TI\"]\".", - "URLFetch":"URLFetch[url, elements] return elements from url, for any accessible URL.", - "URLFetchAsynchronous":"URLFetchAsynchronous[url, eventFunction] asynchronously connect to a URL", - "URLParse":"RowBox[{\"URLParse\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] takes a well-formed URL and gives an association whose values correspond to the components of the URL.\nRowBox[{\"URLParse\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"component\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns only the specified component.\nRowBox[{\"URLParse\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"component\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns only the specified component list.", - "URLQueryDecode":"RowBox[{\"URLQueryDecode\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] decodes a URL-style query string into a list of key-value rules. ", - "URLQueryEncode":"RowBox[{\"URLQueryEncode\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] creates a URL-style query string from an association of keys and values. \nRowBox[{\"URLQueryEncode\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] creates a query string from a list of rules.", - "URLRead":"RowBox[{\"URLRead\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] sends a request to a URL and reads back the response, returning it as a response object.\nRowBox[{\"URLRead\", \"[\", StyleBox[\"assoc\", \"TI\"], \"]\"}] sends a request to a URL built from an association of components and metadata elements.\nRowBox[{\"URLRead\", \"[\", RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] sends a request specified by a symbolic HTTPRequest object.\nRowBox[{\"URLRead\", \"[\", RowBox[{StyleBox[\"req\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"elem\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns only the element StyleBox[\"elem\", \"TI\"] from the response.\nRowBox[{\"URLRead\", \"[\", RowBox[{StyleBox[\"req\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] returns an association of the values of the elements SubscriptBox[StyleBox[\"elem\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"URLRead\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] sends the requests SubscriptBox[StyleBox[\"req\", \"TI\"], StyleBox[\"i\", \"TI\"]] in parallel, giving a list of the results obtained.", - "URLResponseTime":"RowBox[{\"URLResponseTime\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] gives the total number of seconds to request one byte from the specified URL.\nRowBox[{\"URLResponseTime\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the specified timing.", - "URLSave":"URLSave[url, file, elements] return elements from url for any accessible URL, and store the content in file. ", - "URLSaveAsynchronous":"URLSaveAsynchronous[url, file, eventFunction] asynchronously connect to a URL, and store the content in a file.", - "URLShorten":"RowBox[{\"URLShorten\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"url\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] creates a shortened URL that redirects to \"\nStyleBox[\"url\", \"TI\"]\".\nRowBox[{\"URLShorten\", \"[\", RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \"]\"}] creates a shortened URL that redirects to the URL for the specified cloud object.", - "URLSubmit":"RowBox[{\"URLSubmit\", \"[\", StyleBox[\"url\", \"TI\"], \"]\"}] submits the specified URL to be executed asynchronously.\nRowBox[{\"URLSubmit\", \"[\", RowBox[{StyleBox[\"url\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] submits the specified URL, adding elements with names SubscriptBox[StyleBox[\"param\", \"TI\"], StyleBox[\"i\", \"TI\"]] and values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"URLSubmit\", \"[\", RowBox[{StyleBox[\"obj\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the cloud object StyleBox[\"obj\", \"TI\"].\nRowBox[{\"URLSubmit\", \"[\", RowBox[{RowBox[{\"HTTPRequest\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] submits the specified HTTP request.", - "Using":"Using is an option to Roots that specifies any subsidiary equations that are to be used.", - "UsingFrontEnd":"RowBox[{\"UsingFrontEnd\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] evaluates StyleBox[\"expr\", \"TI\"], making use of a front end if necessary.", - "UtilityFunction":"UtilityFunction is an option for Predict, Classify, and related functions that specifies the utility value to assign to each possible pairing of actual and predicted values.", - "V2Get":"RowBox[{\"V2Get\", \"[\", StyleBox[\"name\", \"TI\"], \"]\"}] reads in a file written by the V2.x versions.", - "ValidationLength":"ValidationLength is an option to FindSequenceFunction and related functions that specifies the number of elements in the input sequence that should be used to validate a potential representation found.", - "ValidationSet":"ValidationSet is an option for Predict, Classify, NetTrain, and related functions that specifies the validation set to be used during the training phase.", - "ValueBoxOptions":"RowBox[{ValueBoxOptions, \"\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"opt\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}] is an option that specifies settings for ValueBox objects.", - "ValueDimensions":"ValueDimensions is an option to TemporalData, TimeSeries, and EventSeries that specifies the dimension of the value space. ", - "ValueForm":"ValueForm is an internal symbol.", - "ValuePreprocessingFunction":"ValuePreprocessingFunction is an option for functions such as PersistentValue and InitializationValue that specifies a function to apply to a new value that is being assigned.", - "ValueQ":"RowBox[{\"ValueQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if a value has been defined for StyleBox[\"expr\", \"TI\"], and gives False otherwise. ", - "Values":"RowBox[{\"Values\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] gives a list of the values SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] in an association.\nRowBox[{\"Values\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"key\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives a list of the SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"i\", \"TI\"]] in a list of rules.", - "Variables":"RowBox[{\"Variables\", \"[\", StyleBox[\"poly\", \"TI\"], \"]\"}] gives a list of all independent variables in a polynomial. ", - "Variance":"RowBox[{\"Variance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the sample variance of the elements in StyleBox[\"list\", \"TI\"]. \nRowBox[{\"Variance\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] gives the variance of the distribution StyleBox[\"dist\", \"TI\"].", - "VarianceEquivalenceTest":"RowBox[{\"VarianceEquivalenceTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] tests whether the variances of the SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"i\", \"TI\"]] are equal. \nRowBox[{\"VarianceEquivalenceTest\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], StyleBox[\",\", \"TI\"], StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "VarianceEstimatorFunction":"VarianceEstimatorFunction is an option for LinearModelFit and NonlinearModelFit which specifies the variance estimator to use.", - "VarianceGammaDistribution":"RowBox[{\"VarianceGammaDistribution\", \"[\", RowBox[{StyleBox[\"λ\", \"TR\"], \",\", StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a variance‐gamma distribution with location parameter StyleBox[\"μ\", \"TR\"], skewness parameter StyleBox[\"β\", \"TR\"], and shape parameters StyleBox[\"λ\", \"TR\"] and StyleBox[\"α\", \"TR\"].", - "VarianceTest":"RowBox[{\"VarianceTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the variance of the StyleBox[\"data\", \"TI\"] is one. \nRowBox[{\"VarianceTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the variances of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"VarianceTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"]], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests a dispersion measure against SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"]], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"VarianceTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[SubscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"0\", \"TR\"]], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "VectorAngle":"RowBox[{\"VectorAngle\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the angle between the vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "VectorColorFunction":"VectorColorFunction is an option for VectorPlot and related functions that specifies a function to apply to determine colors of field vectors drawn. ", - "VectorColorFunctionScaling":"VectorColorFunctionScaling is an option for graphics functions which specifies whether arguments supplied to a vector color function should be scaled to lie between 0 and 1. ", - "VectorDensityPlot":"RowBox[{\"VectorDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"s\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a vector plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"], superimposed on a density plot of the scalar field StyleBox[\"s\", \"TI\"]. \nRowBox[{\"VectorDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] takes the scalar field to be the norm of the vector field.\nRowBox[{\"VectorDensityPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"], \",\", StyleBox[\"s\", \"TI\"]}], StyleBox[\"}\", \"TR\"]}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several vector fields. \nRowBox[{\"VectorDensityPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", - "VectorGlyphData":"VectorGlyphData[collection] gives a list of vector glyph elements in a named collection.", - "VectorMarkers":"VectorMarkers is an option for graphics functions like VectorPlot, ListVectorPlot and related functions that specifies what markers to draw at the field points plotted. ", - "VectorPlot":"RowBox[{\"VectorPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a vector plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"] and StyleBox[\"y\", \"TI\"]. \nRowBox[{\"VectorPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"y\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several vector fields. \nRowBox[{\"VectorPlot\", \"[\", RowBox[{StyleBox[\"…\", \"TR\"], \",\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}], \"∈\", StyleBox[\"reg\", \"TI\"]}]}], \"]\"}] takes the variables RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"]}], \"}\"}] to be in the geometric region StyleBox[\"reg\", \"TI\"]. ", - "VectorPlot3D":"RowBox[{\"VectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] generates a 3D vector plot of the vector field RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"x\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"y\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"z\", \"TI\"]]}], \"}\"}] as a function of StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"VectorPlot3D\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"field\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"field\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"z\", \"TI\"], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] plots several vector fields.", - "VectorPoints":"VectorPoints is an option to VectorPlot, ListVectorPlot, and related functions that determines how many field vectors to draw. ", - "VectorQ":"RowBox[{\"VectorQ\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] gives True if StyleBox[\"expr\", \"TI\"] is a list or a one‐dimensional SparseArray object, none of whose elements are themselves lists, and gives False otherwise. \nRowBox[{\"VectorQ\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"test\", \"TI\"]}], \"]\"}] gives True only if StyleBox[\"test\", \"TI\"] yields True when applied to each of the elements in StyleBox[\"expr\", \"TI\"]. ", - "Vectors":"RowBox[{\"Vectors\", \"[\", StyleBox[\"d\", \"TI\"], \"]\"}] represents the domain of vectors of dimension StyleBox[\"d\", \"TI\"].\nRowBox[{\"Vectors\", \"[\", RowBox[{StyleBox[\"d\", \"TI\"], \",\", StyleBox[\"dom\", \"TI\"]}], \"]\"}] represents the domain of vectors of dimension StyleBox[\"d\", \"TI\"], with components in the domain StyleBox[\"dom\", \"TI\"].", - "VectorScale":"VectorScale is an option to VectorPlot, ListVectorPlot, and related functions that determines the length and arrowhead size of field vectors that are drawn. ", - "VectorStyle":"VectorStyle is an option to VectorPlot, ListVectorPlot, and related functions that determines the style to use for drawing field vectors.", - "Vee":"RowBox[{\"Vee\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋁\", StyleBox[\"y\", \"TI\"], \"⋁\", \"…\"}].", - "Verbatim":"RowBox[{\"Verbatim\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] represents StyleBox[\"expr\", \"TI\"] in pattern matching, requiring that StyleBox[\"expr\", \"TI\"] be matched exactly as it appears, with no substitutions for blanks or other transformations. ", - "VerificationTest":"RowBox[{\"VerificationTest\", \"[\", StyleBox[\"input\", \"TI\"], \"]\"}] runs a verification test to determine whether StyleBox[\"input\", \"TI\"] evaluates to True, without issuing messages.\nRowBox[{\"VerificationTest\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"expected\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"input\", \"TI\"] evaluates to StyleBox[\"expected\", \"TI\"], without issuing messages.\nRowBox[{\"VerificationTest\", \"[\", RowBox[{StyleBox[\"input\", \"TI\"], \",\", StyleBox[\"expected\", \"TI\"], \",\", StyleBox[\"messages\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"input\", \"TI\"] evaluates to StyleBox[\"expected\", \"TI\"], generating the list of message names StyleBox[\"messages\", \"TI\"].", - "VerifyConvergence":"VerifyConvergence is an option to Sum, NSum, and similar functions that specifies whether convergence checking should be done.", - "VerifySecurityCertificates":"VerifySecurityCertificates is an option for URLRead and related functions that specifies whether to verify security certificates when making an HTTPS connection.", - "VerifySolutions":"VerifySolutions is an option to Solve and related functions that controls whether to verify solutions. ", - "VerifyTestAssumptions":"VerifyTestAssumptions is an option to LocationTest and similar functions that controls which assumptions to verify through diagnostic tests.", - "VertexAdd":"RowBox[{\"VertexAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] makes a graph by adding the vertex StyleBox[\"v\", \"TI\"] to the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexAdd\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] adds a collection of vertices to StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexAdd\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "VertexCapacity":"VertexCapacity is an option and property for Graph and related functions that specifies a vertex capacity.", - "VertexColors":"VertexColors is an option for graphics primitives which specifies the colors to assign to vertices.", - "VertexComponent":"RowBox[{\"VertexComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the vertices in the graph StyleBox[\"g\", \"TI\"] that have a path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"VertexComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the vertices with a path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of at most length StyleBox[\"k\", \"TI\"].\nRowBox[{\"VertexComponent\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexConnectivity":"RowBox[{\"VertexConnectivity\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the vertex connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexConnectivity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] gives the StyleBox[\"s\", \"TI\"]-StyleBox[\"t\", \"TI\"] vertex connectivity of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexConnectivity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexContract":"RowBox[{\"VertexContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] contracts a collection of vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … into a single vertex of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexContract\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] contracts several collections of vertices. \nRowBox[{\"VertexContract\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexCoordinateRules":"VertexCoordinateRules is an option for GraphPlot and related functions which specifies rules for determining the coordinates at which vertices should be placed.", - "VertexCoordinates":"VertexCoordinates is an option to Graph and related functions that specifies the coordinates to use to place the center of vertices.", - "VertexCorrelationSimilarity":"RowBox[{\"VertexCorrelationSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the correlation similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexCorrelationSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexCosineSimilarity":"RowBox[{\"VertexCosineSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the cosine similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexCosineSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexCount":"RowBox[{\"VertexCount\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives a count of the number of vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexCount\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a count of the number of vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"VertexCount\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexCoverQ":"RowBox[{\"VertexCoverQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"vlist\", \"TI\"]}], \"]\"}] yields True if the vertex list StyleBox[\"vlist\", \"TI\"] is a vertex cover of the graph StyleBox[\"g\", \"TI\"], and False otherwise.", - "VertexDataCoordinates":"VertexDataCoordinates is an option to Raster3D that determines how to map data to the displayed range.", - "VertexDegree":"RowBox[{\"VertexDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertex degrees for all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the vertex degree for the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"VertexDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexDelete":"RowBox[{\"VertexDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] makes a graph by deleting the vertex StyleBox[\"ν\", \"TR\"] and all edges connected to StyleBox[\"v\", \"TI\"] from the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{StyleBox[\"{\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] deletes a collection of vertices from StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDelete\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] deletes all vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"VertexDelete\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexDiceSimilarity":"RowBox[{\"VertexDiceSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Dice similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexDiceSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexEccentricity":"RowBox[{\"VertexEccentricity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"s\", \"TI\"]}], \"]\"}] gives the length of the longest shortest path from the source StyleBox[\"s\", \"TI\"] to every other vertex in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexEccentricity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "VertexInComponent":"RowBox[{\"VertexInComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the vertices in the graph StyleBox[\"g\", \"TI\"] that have a directed path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"VertexInComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the vertices with a directed path to at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of at most length StyleBox[\"k\", \"TI\"].\nRowBox[{\"VertexInComponent\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexInDegree":"RowBox[{\"VertexInDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertex in-degrees for all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexInDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the vertex in-degree for the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"VertexInDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexIndex":"RowBox[{\"VertexIndex\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the integer index for the vertex StyleBox[\"v\", \"TI\"] in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexIndex\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"].", - "VertexJaccardSimilarity":"RowBox[{\"VertexJaccardSimilarity\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Jaccard similarity between vertices StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"] of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexJaccardSimilarity\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "VertexLabeling":"VertexLabeling is an option for GraphPlot and related functions which specifies whether labeling should be included by default for vertices in graphs.", - "VertexLabels":"VertexLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for vertices.", - "VertexLabelStyle":"VertexLabelStyle is an option and property for Graph and related functions that specifies the style to use for vertex labels.", - "VertexList":"RowBox[{\"VertexList\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertices for the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexList\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives a list of vertices that match the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"VertexList\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "VertexNormals":"VertexNormals is an option for graphics primitives which specifies the normal directions to assign to 3D vertices.", - "VertexOutComponent":"RowBox[{\"VertexOutComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the vertices in the graph StyleBox[\"g\", \"TI\"] that have a directed path from at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"VertexOutComponent\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] gives the vertices with a directed path from at least one of SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … of at most length StyleBox[\"k\", \"TI\"].\nRowBox[{\"VertexOutComponent\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "VertexOutDegree":"RowBox[{\"VertexOutDegree\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the list of vertex out-degrees for all vertices in the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"VertexOutDegree\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the vertex out-degree for the vertex StyleBox[\"v\", \"TI\"].\nRowBox[{\"VertexOutDegree\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "VertexQ":"RowBox[{\"VertexQ\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] yields True if StyleBox[\"v\", \"TI\"] is a vertex in the graph StyleBox[\"g\", \"TI\"] and False otherwise.", - "VertexRenderingFunction":"VertexRenderingFunction is an option for GraphPlot and related functions that gives a function to generate the graphics primitives to use in rendering each vertex.", - "VertexReplace":"RowBox[{\"VertexReplace\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] replaces each vertex SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] in the graph StyleBox[\"g\", \"TI\"] by SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"VertexReplace\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "VertexShape":"VertexShape is an option and property for Graph and related functions that specifies the graphics used for vertices.", - "VertexShapeFunction":"VertexShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each vertex. ", - "VertexSize":"VertexSize is an option and property for Graph and related functions that specifies the size used for vertices. ", - "VertexStyle":"VertexStyle is an option and property for Graph and related functions that specifies what style to use for vertices. ", - "VertexTextureCoordinates":"VertexTextureCoordinates is an option for graphics primitives that specifies the texture coordinates to assign to vertices.", - "VertexWeight":"VertexWeight is an option and property for Graph and related functions that specifies a vertex weight.", - "VerticalBar":"RowBox[{\"VerticalBar\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "VerticalForm":"VerticalForm is an internal symbol used for formatting and printing.", - "VerticalGauge":"RowBox[{\"VerticalGauge\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of 0 to 1.\nRowBox[{\"VerticalGauge\", \"[\", RowBox[{StyleBox[\"value\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"min\", \"TI\"], \",\", StyleBox[\"max\", \"TI\"]}], \"}\"}]}], \"]\"}] draws a linear gauge showing StyleBox[\"value\", \"TI\"] in a range of StyleBox[\"min\", \"TI\"] to StyleBox[\"max\", \"TI\"].\nRowBox[{\"VerticalGauge\", \"[\", RowBox[{RowBox[{\"Dynamic\", \"[\", StyleBox[\"value\", \"TI\"], \"]\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] allows StyleBox[\"value\", \"TI\"] to be set interactively using the gauge.\nRowBox[{\"VerticalGauge\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] draws a gauge showing multiple values.", - "VerticalSeparator":"RowBox[{\"VerticalSeparator\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"\", StyleBox[\"y\", \"TI\"], \"\", \"…\"}].", - "VerticalSlider":"RowBox[{\"VerticalSlider\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}] represents a vertical slider at position StyleBox[\"y\", \"TI\"] with range 0 to 1. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{\"Dynamic\", \"[\", StyleBox[\"y\", \"TI\"], \"]\"}], \"]\"}] takes the position to be the dynamically updated current value of StyleBox[\"y\", \"TI\"], with the value of StyleBox[\"y\", \"TI\"] being reset if the slider is moved. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] represents a vertical slider with range SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]] to SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]]. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"max\", \"TI\"]], \",\", StyleBox[\"dy\", \"TI\"]}], \"}\"}]}], \"]\"}] represents a vertical slider that jumps in steps StyleBox[\"dy\", \"TI\"]. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] represents a slider in which equally spaced intervals correspond to successive settings SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"VerticalSlider\", \"[\", RowBox[{StyleBox[\"y\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"}\"}]}], \"]\"}] uses intervals of relative heights SubscriptBox[StyleBox[\"h\", \"TI\"], StyleBox[\"i\", \"TI\"]] for the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]]. ", - "VerticalTilde":"RowBox[{\"VerticalTilde\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"≀\", StyleBox[\"y\", \"TI\"], \"≀\", \"…\"}].", - "ViewAngle":"ViewAngle is an option for Graphics3D and related functions that gives the opening angle for a simulated camera used to view the three-dimensional scene. ", - "ViewCenter":"ViewCenter is an option for Graphics3D and related functions which gives the scaled coordinates of the point which should appear at the center of the final image. ", - "ViewMatrix":"ViewMatrix is an option for Graphics3D and related functions that can be used to specify a pair of explicit homogeneous transformation and projection matrices for 3D coordinates.", - "ViewPoint":"ViewPoint is an option for Graphics3D and related functions which gives the point in space from which three‐dimensional objects are to be viewed. ", - "ViewProjection":"ViewProjection is an option for three-dimensional graphics that specifies the projection to use for the graphic.", - "ViewRange":"ViewRange is an option for Graphics3D and related functions which specifies the range of distances from the view point to be included in displaying a three-dimensional scene. ", - "ViewVector":"ViewVector is an option for Graphics3D and related functions which specifies the position and direction of a simulated camera used to view three-dimensional objects. ", - "ViewVertical":"ViewVertical is an option for Graphics3D and related functions which specifies what direction in scaled coordinates should be vertical in the final image. ", - "Visible":"Visible is a notebook option which specifies whether the notebook should be explicitly displayed on the screen. ", - "VoigtDistribution":"RowBox[{\"VoigtDistribution\", \"[\", RowBox[{StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents Voigt distribution with parameters StyleBox[\"δ\", \"TR\"] and StyleBox[\"σ\", \"TR\"].", - "VolcanoData":"RowBox[{\"VolcanoData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the volcano StyleBox[\"entity\", \"TI\"].\nRowBox[{\"VolcanoData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified volcano entities.\nRowBox[{\"VolcanoData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Volume":"RowBox[{\"Volume\", \"[\", StyleBox[\"reg\", \"TI\"], \"]\"}] gives the volume of the three-dimensional region StyleBox[\"reg\", \"TI\"].\nRowBox[{\"Volume\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}]}], \"]\"}] gives the volume of the parametrized region whose Cartesian coordinates SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] are functions of StyleBox[\"s\", \"TI\"], StyleBox[\"t\", \"TI\"], StyleBox[\"u\", \"TI\"].\nRowBox[{\"Volume\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"t\", \"TI\"], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"t\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"u\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"chart\", \"TI\"]}], \"]\"}] interprets the SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] as coordinates in the specified coordinate chart.", - "VonMisesDistribution":"RowBox[{\"VonMisesDistribution\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"κ\", \"TR\"]}], \"]\"}] represents a von Mises distribution with mean StyleBox[\"μ\", \"TR\"] and concentration StyleBox[\"κ\", \"TR\"].", - "VoronoiMesh":"RowBox[{\"VoronoiMesh\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] gives a MeshRegion representing the Voronoi mesh from the points SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"VoronoiMesh\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"p\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"min\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"max\", \"TI\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] clips the mesh to the bounds RowBox[{RowBox[{\"[\", RowBox[{SubscriptBox[\"x\", \"min\"], \",\", SubscriptBox[\"x\", \"max\"]}], \"]\"}], \"×\", \"⋯\"}].", - "WaitAll":"RowBox[{\"WaitAll\", \"[\", StyleBox[\"expr\", \"TI\"], \"]\"}] waits for all concurrent evaluations represented by EvaluationObject expressions in StyleBox[\"expr\", \"TI\"] to finish, then returns the resulting expression obtained.", - "WaitAsynchronousTask":"RowBox[{\"WaitAsynchronousTask\", \"[\", StyleBox[\"task\", \"TI\"], \"]\"}] waits for StyleBox[\"task\", \"TI\"] to complete.", - "WaitNext":"RowBox[{\"WaitNext\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] waits until the first evaluation represented by any of the SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"i\", \"TI\"]] finishes, then returns its result, the corresponding SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"i\", \"TI\"]], and the list of remaining SubscriptBox[StyleBox[\"eid\", \"TI\"], StyleBox[\"k\", \"TI\"]]. ", - "WakebyDistribution":"RowBox[{\"WakebyDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"γ\", \"TR\"], \",\", StyleBox[\"δ\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents Wakeby distribution with shape parameters StyleBox[\"β\", \"TR\"] and StyleBox[\"δ\", \"TR\"], scale parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"γ\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", - "WalleniusHypergeometricDistribution":"RowBox[{\"WalleniusHypergeometricDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"succ\", \"TI\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"tot\", \"TI\"]], \",\", StyleBox[\"w\", \"TI\"]}], \"]\"}] represents a Wallenius noncentral hypergeometric distribution.", - "WaringYuleDistribution":"RowBox[{\"WaringYuleDistribution\", \"[\", StyleBox[\"α\", \"TR\"], \"]\"}] represents the Yule distribution with shape parameter StyleBox[\"α\", \"TR\"].\nRowBox[{\"WaringYuleDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents the Waring distribution with shape parameters StyleBox[\"α\", \"TR\"] and StyleBox[\"β\", \"TR\"].", - "WarpingCorrespondence":"RowBox[{\"WarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the time warping (DTW) similarity path between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"WarpingCorrespondence\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window specified by StyleBox[\"win\", \"TI\"] for local search.", - "WarpingDistance":"RowBox[{\"WarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives the dynamic time warping (DTW) distance between sequences SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"WarpingDistance\", \"[\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"win\", \"TI\"]}], \"]\"}] uses a window specified by StyleBox[\"win\", \"TI\"] for local search.", - "WatershedComponents":"RowBox[{\"WatershedComponents\", \"[\", StyleBox[\"image\", \"TI\"], \"]\"}] computes the watershed transform of StyleBox[\"image\", \"TI\"], returning the result as an array in which positive integers label the catchment basins.\nRowBox[{\"WatershedComponents\", \"[\", RowBox[{StyleBox[\"image\", \"TI\"], \",\", StyleBox[\"marker\", \"TI\"]}], \"]\"}] uses a binary image StyleBox[\"marker\", \"TI\"] to indicate regions where basins may be created.", - "WatsonUSquareTest":"RowBox[{\"WatsonUSquareTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is normally distributed using the Watson SuperscriptBox[StyleBox[\"U\", \"TI\"], \"2\"] test.\nRowBox[{\"WatsonUSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"]}], \"]\"}] tests whether StyleBox[\"data\", \"TI\"] is distributed according to StyleBox[\"dist\", \"TI\"] using the Watson SuperscriptBox[StyleBox[\"U\", \"TI\"], \"2\"] test.\nRowBox[{\"WatsonUSquareTest\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "WattsStrogatzGraphDistribution":"RowBox[{\"WattsStrogatzGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"]}], \"]\"}] represents the Watts–Strogatz graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs with rewiring probability StyleBox[\"p\", \"TI\"].\nRowBox[{\"WattsStrogatzGraphDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"p\", \"TI\"], \",\", StyleBox[\"k\", \"TI\"]}], \"]\"}] represents the Watts–Strogatz graph distribution for StyleBox[\"n\", \"TI\"]-vertex graphs with rewiring probability StyleBox[\"p\", \"TI\"] starting from a RowBox[{\"2\", StyleBox[\"k\", \"TI\"]}]-regular graph.", - "WaveletBestBasis":"RowBox[{\"WaveletBestBasis\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] computes a best basis representation in the DiscreteWaveletData object StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletBestBasis\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"cspec\", \"TI\"]}], \"]\"}] computes a best basis representation using the cost specification StyleBox[\"cspec\", \"TI\"].", - "WaveletFilterCoefficients":"RowBox[{\"WaveletFilterCoefficients\", \"[\", RowBox[{StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"filt\", \"TI\"]}], \"]\"}] gives the filter coefficients for the symbolic wavelet StyleBox[\"wave\", \"TI\"] of type StyleBox[\"filt\", \"TI\"]. ", - "WaveletImagePlot":"RowBox[{\"WaveletImagePlot\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] plots the basis tree of wavelet image coefficients in the DiscreteWaveletData StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletImagePlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] plots coefficients up to refinement level StyleBox[\"r\", \"TI\"].\nRowBox[{\"WaveletImagePlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ifunc\", \"TI\"]}], \"]\"}] applies the image function StyleBox[\"ifunc\", \"TI\"] to coefficients and wavelet indexes before plotting.", - "WaveletListPlot":"RowBox[{\"WaveletListPlot\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] plots wavelet transform coefficients in the DiscreteWaveletData StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletListPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] plots wavelet transform coefficients corresponding to the wavelet index specification StyleBox[\"wind\", \"TI\"].\nRowBox[{\"WaveletListPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to coefficients before plotting. \nRowBox[{\"WaveletListPlot\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] plots wavelet transform coefficients from several DiscreteWaveletData objects SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"dwd\", \"TI\"], StyleBox[\"2\", \"TR\"]], StyleBox[\"…\", \"TR\"].", - "WaveletMapIndexed":"RowBox[{\"WaveletMapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"wd\", \"TI\"]}], \"]\"}] applies the function StyleBox[\"f\", \"TI\"] to the arrays of coefficients and indices of a ContinuousWaveletData or DiscreteWaveletData object.\nRowBox[{\"WaveletMapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the DiscreteWaveletData coefficients specified by StyleBox[\"wind\", \"TI\"].\nRowBox[{\"WaveletMapIndexed\", \"[\", RowBox[{StyleBox[\"f\", \"TI\"], \",\", StyleBox[\"cwd\", \"TI\"], \",\", StyleBox[\"octvoc\", \"TI\"]}], \"]\"}] applies StyleBox[\"f\", \"TI\"] to the ContinuousWaveletData coefficients specified by StyleBox[\"octvoc\", \"TI\"].", - "WaveletMatrixPlot":"RowBox[{\"WaveletMatrixPlot\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] plots the basis tree of wavelet matrix coefficients in the DiscreteWaveletData StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletMatrixPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] plots coefficients up to refinement level StyleBox[\"r\", \"TI\"].\nRowBox[{\"WaveletMatrixPlot\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to coefficients before plotting. ", - "WaveletPhi":"RowBox[{\"WaveletPhi\", \"[\", RowBox[{StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the scaling function RowBox[{\"ϕ\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}] for the symbolic wavelet StyleBox[\"wave\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"WaveletPhi\", \"[\", StyleBox[\"wave\", \"TI\"], \"]\"}] gives the scaling function as a pure function.", - "WaveletPsi":"RowBox[{\"WaveletPsi\", \"[\", RowBox[{StyleBox[\"wave\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the wavelet function RowBox[{\"ψ\", \"(\", StyleBox[\"x\", \"TI\"], \")\"}] for the symbolic wavelet StyleBox[\"wave\", \"TI\"] evaluated at StyleBox[\"x\", \"TI\"].\nRowBox[{\"WaveletPsi\", \"[\", StyleBox[\"wave\", \"TI\"], \"]\"}] gives the wavelet function as a pure function.", - "WaveletScale":"WaveletScale is an option for ContinuousWaveletTransform and related constructs used to specify the smallest resolvable scale. ", - "WaveletScalogram":"RowBox[{\"WaveletScalogram\", \"[\", StyleBox[\"wd\", \"TI\"], \"]\"}] plots wavelet vector coefficients in a DiscreteWaveletData or ContinuousWaveletData object StyleBox[\"wd\", \"TI\"].\nRowBox[{\"WaveletScalogram\", \"[\", RowBox[{StyleBox[\"wd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] plots wavelet coefficients corresponding to the wavelet index specification StyleBox[\"wind\", \"TI\"].\nRowBox[{\"WaveletScalogram\", \"[\", RowBox[{StyleBox[\"wd\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"], \",\", StyleBox[\"func\", \"TI\"]}], \"]\"}] applies StyleBox[\"func\", \"TI\"] to coefficients before plotting. ", - "WaveletThreshold":"RowBox[{\"WaveletThreshold\", \"[\", StyleBox[\"dwd\", \"TI\"], \"]\"}] thresholds the detail wavelet coefficients in the DiscreteWaveletData object StyleBox[\"dwd\", \"TI\"].\nRowBox[{\"WaveletThreshold\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"]}], \"]\"}] thresholds the coefficients using the thresholding specification StyleBox[\"tspec\", \"TI\"].\nRowBox[{\"WaveletThreshold\", \"[\", RowBox[{StyleBox[\"dwd\", \"TI\"], \",\", StyleBox[\"tspec\", \"TI\"], \",\", StyleBox[\"wind\", \"TI\"]}], \"]\"}] thresholds the wavelet coefficients given by the wavelet indices StyleBox[\"wind\", \"TI\"].", - "WeaklyConnectedComponents":"RowBox[{\"WeaklyConnectedComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the weakly connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"WeaklyConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the weakly connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], ….\nRowBox[{\"WeaklyConnectedComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"WeaklyConnectedComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "WeaklyConnectedGraphComponents":"RowBox[{\"WeaklyConnectedGraphComponents\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the weakly connected components of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"WeaklyConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives the weakly connected components that include at least one of the vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], … .\nRowBox[{\"WeaklyConnectedGraphComponents\", \"[\", RowBox[{StyleBox[\"g\", \"TI\"], \",\", StyleBox[\"patt\", \"TI\"]}], \"]\"}] gives the connected components that include a vertex that matches the pattern StyleBox[\"patt\", \"TI\"].\nRowBox[{\"WeaklyConnectedGraphComponents\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", \"…\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "WeaklyConnectedGraphQ":"RowBox[{\"WeaklyConnectedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is weakly connected, and False otherwise.", - "WeakStationarity":"RowBox[{\"WeakStationarity\", \"[\", StyleBox[\"proc\", \"TI\"], \"]\"}] gives conditions for the process StyleBox[\"proc\", \"TI\"] to be weakly stationary. ", - "WeatherData":"RowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the most recent measurement for the specified weather property at the location corresponding to StyleBox[\"loc\", \"TI\"].\nRowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"date\", \"TI\"]}], \"]\"}] gives all measurements during the specified date.\nRowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"]}], \"}\"}]}], \"]\"}] gives a list of dates and measurements for the time interval StyleBox[\"start\", \"TI\"] to StyleBox[\"end\", \"TI\"].\nRowBox[{\"WeatherData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{\"{\", RowBox[{StyleBox[\"start\", \"TI\"], \",\", StyleBox[\"end\", \"TI\"], \",\", StyleBox[\"step\", \"TI\"]}], \"}\"}]}], \"]\"}] gives measurements aggregated over the time period represented by StyleBox[\"step\", \"TI\"].", - "WeatherForecastData":"RowBox[{\"WeatherForecastData\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] gives the most recent forecast for all weather forecast properties for the specified location.\nRowBox[{\"WeatherForecastData\", \"[\", StyleBox[\"prop\", \"TI\"], \"]\"}] gives the forecast for the specified property for the current location.\nRowBox[{\"WeatherForecastData\", \"[\", StyleBox[\"date\", \"TI\"], \"]\"}] gives the forecast at the time or times specified by StyleBox[\"date\", \"TI\"] for all properties at the current location.\nRowBox[{\"WeatherForecastData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"]}], \"]\"}] gives the forecast for the property at the specified location.\nRowBox[{\"WeatherForecastData\", \"[\", RowBox[{StyleBox[\"loc\", \"TI\"], \",\", StyleBox[\"prop\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the forecast at the time or times specified by StyleBox[\"datespec\", \"TI\"] for the property at the location.", - "WeberE":"RowBox[{\"WeberE\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Weber function RowBox[{SubscriptBox[StyleBox[\"E\", FontWeight -> \"Bold\", FontSlant -> \"Plain\"], \"ν\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].\nRowBox[{\"WeberE\", \"[\", RowBox[{StyleBox[\"ν\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the associated Weber function RowBox[{SubsuperscriptBox[StyleBox[\"E\", FontWeight -> \"Bold\", FontSlant -> \"Plain\"], \"ν\", \"μ\"], \"(\", StyleBox[\"z\", \"TI\"], \")\"}].", - "WebImageSearch":"RowBox[{\"WebImageSearch\", \"[\", StyleBox[StyleBox[\"\\\"string\\\"\",ShowStringCharacters->True], \"TI\"], \"]\"}] gives a dataset of the top web image search results for the specified literal string.\nRowBox[{\"WebImageSearch\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives the top results obtained by doing the web image search specified by StyleBox[\"form\", \"TI\"].\nRowBox[{\"WebImageSearch\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives the elements of the web image search specified by StyleBox[\"elems\", \"TI\"].", - "WebSearch":"RowBox[{\"WebSearch\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a dataset of the top web search results for the specified literal string.\nRowBox[{\"WebSearch\", \"[\", StyleBox[\"form\", \"TI\"], \"]\"}] gives the top results obtained by doing the web search specified by StyleBox[\"form\", \"TI\"].\nRowBox[{\"WebSearch\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"elems\", \"TI\"]}], \"]\"}] gives the elements of the web search specified by StyleBox[\"elems\", \"TI\"].", - "Wedge":"RowBox[{\"Wedge\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] displays as RowBox[{StyleBox[\"x\", \"TI\"], \"⋀\", StyleBox[\"y\", \"TI\"], \"⋀\", StyleBox[\"…\", \"TR\"]}].", - "Wednesday":"Wednesday is a day of the week.", - "WeibullDistribution":"RowBox[{\"WeibullDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"]}], \"]\"}] represents a Weibull distribution with shape parameter StyleBox[\"α\", \"TR\"] and scale parameter StyleBox[\"β\", \"TR\"].\nRowBox[{\"WeibullDistribution\", \"[\", RowBox[{StyleBox[\"α\", \"TR\"], \",\", StyleBox[\"β\", \"TR\"], \",\", StyleBox[\"μ\", \"TR\"]}], \"]\"}] represents a Weibull distribution with shape parameter StyleBox[\"α\", \"TR\"], scale parameter StyleBox[\"β\", \"TR\"], and location parameter StyleBox[\"μ\", \"TR\"].", - "WeierstrassE1":"RowBox[{\"WeierstrassE1\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the Weierstrass elliptic function ℘ at the half-period RowBox[{SubscriptBox[\"ω\", \"1\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", - "WeierstrassE2":"RowBox[{\"WeierstrassE2\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the Weierstrass elliptic function ℘ at the half-period RowBox[{SubscriptBox[\"ω\", \"2\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", - "WeierstrassE3":"RowBox[{\"WeierstrassE3\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"3\", \"TR\"]] of the Weierstrass elliptic function ℘ at the half-period RowBox[{SubscriptBox[\"ω\", \"3\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", - "WeierstrassEta1":"RowBox[{\"WeierstrassEta1\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"η\", \"TR\"], StyleBox[\"1\", \"TR\"]] of the Weierstrass zeta function StyleBox[\"ζ\", \"TR\"] at the half-period RowBox[{SubscriptBox[\"ω\", \"1\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", - "WeierstrassEta2":"RowBox[{\"WeierstrassEta2\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"η\", \"TR\"], StyleBox[\"2\", \"TR\"]] of the Weierstrass zeta function StyleBox[\"ζ\", \"TR\"] at the half-period RowBox[{SubscriptBox[\"ω\", \"2\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", - "WeierstrassEta3":"RowBox[{\"WeierstrassEta3\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the value SubscriptBox[StyleBox[\"η\", \"TR\"], StyleBox[\"3\", \"TR\"]] of the Weierstrass zeta function StyleBox[\"ζ\", \"TR\"] at the half-period RowBox[{SubscriptBox[\"ω\", \"3\"], \"(\", RowBox[{SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}].", - "WeierstrassHalfPeriods":"RowBox[{\"WeierstrassHalfPeriods\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half‐periods RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}] for Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", FontFamily -> \"Times\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", FontFamily -> \"Times\"]]}], \"}\"}].", - "WeierstrassHalfPeriodW1":"RowBox[{\"WeierstrassHalfPeriodW1\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half-period SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]] for Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}].", - "WeierstrassHalfPeriodW2":"RowBox[{\"WeierstrassHalfPeriodW2\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half-period SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"2\", \"TR\"]] for the Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}].", - "WeierstrassHalfPeriodW3":"RowBox[{\"WeierstrassHalfPeriodW3\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the half-period SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]] for the Weierstrass elliptic functions corresponding to the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}].", - "WeierstrassInvariantG2":"RowBox[{\"WeierstrassInvariantG2\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}], \"}\"}], \"]\"}] gives the invariant SubscriptBox[\"g\", \"2\"] for the Weierstrass elliptic functions corresponding to the half‐periods RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}], \"}\"}].", - "WeierstrassInvariantG3":"RowBox[{RowBox[{\"WeierstrassInvariantG3\", \"[\", RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}]}]}], \"]\"}] gives the invariant SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]] for the Weierstrass elliptic functions corresponding to the half‐periods RowBox[{\"{\", RowBox[{StyleBox[\"ω\", \"TR\"], \",\", SuperscriptBox[StyleBox[\"ω\", \"TR\"], \"′\"]}], \"}\"}].", - "WeierstrassInvariants":"RowBox[{\"WeierstrassInvariants\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}], \"]\"}] gives the invariants RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}] for Weierstrass elliptic functions corresponding to the half‐periods RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"ω\", \"TR\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]. ", - "WeierstrassP":"RowBox[{\"WeierstrassP\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the Weierstrass elliptic function RowBox[{\"℘\", \"(\", RowBox[{RowBox[{StyleBox[\"u\", \"TI\"], \";\", SubscriptBox[StyleBox[\"g\", \"TI\"], \"2\"]}], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], \"3\"]}], \")\"}]. ", - "WeierstrassPPrime":"RowBox[{\"WeierstrassPPrime\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the derivative of the Weierstrass elliptic function RowBox[{\"℘\", \"(\", RowBox[{RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"]}], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]. ", - "WeierstrassSigma":"RowBox[{\"WeierstrassSigma\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the Weierstrass sigma function RowBox[{\"σ\", \"(\", RowBox[{RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"]}], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]. ", - "WeierstrassZeta":"RowBox[{\"WeierstrassZeta\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"g\", \"TI\"], StyleBox[\"3\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the Weierstrass zeta function RowBox[{\"ζ\", \"(\", RowBox[{\"u\", \";\", SubscriptBox[\"g\", \"2\"], \",\", SubscriptBox[\"g\", \"3\"]}], \")\"}]. ", - "WeightedAdjacencyGraph":"RowBox[{\"WeightedAdjacencyGraph\", \"[\", StyleBox[\"wmat\", \"TI\"], \"]\"}] gives the graph with weighted adjacency matrix StyleBox[\"wmat\", \"TI\"].\nRowBox[{\"WeightedAdjacencyGraph\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"wmat\", \"TI\"]}], \"]\"}] gives the graph with vertices SubscriptBox[StyleBox[\"v\", \"TI\"], StyleBox[\"i\", \"TI\"]] and weighted adjacency matrix StyleBox[\"wmat\", \"TI\"].", - "WeightedAdjacencyMatrix":"RowBox[{\"WeightedAdjacencyMatrix\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] gives the adjacency matrix of edge weights of the graph StyleBox[\"g\", \"TI\"].\nRowBox[{\"WeightedAdjacencyMatrix\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] uses rules RowBox[{StyleBox[\"v\", \"TI\"], \"\", StyleBox[\"w\", \"TI\"]}] to specify the graph StyleBox[\"g\", \"TI\"]. ", - "WeightedData":"RowBox[{\"WeightedData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] with weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"WeightedData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"fn\", \"TI\"]}], \"]\"}] represents observations SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"i\", \"TI\"]] with weighting function StyleBox[\"fn\", \"TI\"].", - "WeightedGraphQ":"RowBox[{\"WeightedGraphQ\", \"[\", StyleBox[\"g\", \"TI\"], \"]\"}] yields True if the graph StyleBox[\"g\", \"TI\"] is a weighted graph and False otherwise.", - "Weights":"Weights is an option for various fitting and other functions which specifies weights to associate with data elements.", - "WelchWindow":"RowBox[{\"WelchWindow\", \"[\", StyleBox[\"x\", \"TI\"], \"]\"}] represents a Welch window function of StyleBox[\"x\", \"TI\"].\nRowBox[{\"WelchWindow\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] uses the parameter StyleBox[\"α\", \"TR\"].", - "WheelGraph":"RowBox[{\"WheelGraph\", \"[\", StyleBox[\"n\", \"TI\"], \"]\"}] gives the wheel graph with StyleBox[\"n\", \"TI\"] vertices SubscriptBox[\"W\", \"n\"].", - "WhenEvent":"RowBox[{\"WhenEvent\", \"[\", RowBox[{StyleBox[\"event\", \"TI\"], \",\", StyleBox[\"action\", \"TI\"]}], \"]\"}] specifies an StyleBox[\"action\", \"TI\"] that occurs when the StyleBox[\"event\", \"TI\"] triggers it for equations in NDSolve and related functions. ", - "Which":"RowBox[{\"Which\", \"[\", RowBox[{SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] evaluates each of the SubscriptBox[StyleBox[\"test\", \"TI\"], StyleBox[\"i\", \"TI\"]] in turn, returning the value of the SubscriptBox[StyleBox[\"value\", \"TI\"], StyleBox[\"i\", \"TI\"]] corresponding to the first one that yields True. ", - "While":"RowBox[{\"While\", \"[\", RowBox[{StyleBox[\"test\", \"TI\"], \",\", StyleBox[\"body\", \"TI\"]}], \"]\"}] evaluates StyleBox[\"test\", \"TI\"], then StyleBox[\"body\", \"TI\"], repetitively, until StyleBox[\"test\", \"TI\"] first fails to give True. ", - "White":"White represents the color white in graphics or style specifications. ", - "WhiteNoiseProcess":"RowBox[{\"WhiteNoiseProcess\", \"[\", \"]\"}] represents a Gaussian white noise process with mean 0 and standard deviation 1.\nRowBox[{\"WhiteNoiseProcess\", \"[\", StyleBox[\"σ\", \"TR\"], \"]\"}] represents a Gaussian white noise process with mean 0 and standard deviation StyleBox[\"σ\", \"TR\"].\nRowBox[{\"WhiteNoiseProcess\", \"[\", StyleBox[\"dist\", \"TI\"], \"]\"}] represents a white noise process based on the distribution StyleBox[\"dist\", \"TI\"].", - "WhitePoint":"WhitePoint is an option for ChromaticityPlot and other functions to specify what white point to show.", - "Whitespace":"Whitespace represents a sequence of whitespace characters in StringExpression.", - "WhitespaceCharacter":"WhitespaceCharacter represents a single whitespace character in StringExpression.", - "WhittakerM":"RowBox[{\"WhittakerM\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Whittaker function RowBox[{SubscriptBox[StyleBox[\"M\", \"TI\"], RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "WhittakerW":"RowBox[{\"WhittakerW\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Whittaker function RowBox[{SubscriptBox[StyleBox[\"W\", \"TI\"], RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"]}]], \"(\", StyleBox[\"z\", \"TI\"], \")\"}]. ", - "WienerFilter":"RowBox[{\"WienerFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] removes noise from StyleBox[\"data\", \"TI\"] by applying a range-StyleBox[\"r\", \"TI\"] Wiener filter.\nRowBox[{\"WienerFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"], \",\", StyleBox[\"ns\", \"TI\"]}], StyleBox[\"]\", \"TI\"]}] assumes an additive noise power value StyleBox[\"ns\", \"TI\"].\nRowBox[{\"WienerFilter\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] uses radius SubscriptBox[StyleBox[\"r\", \"TI\"], StyleBox[\"i\", \"TI\"]] at level StyleBox[\"i\", \"TI\"] in data.", - "WienerProcess":"RowBox[{\"WienerProcess\", \"[\", RowBox[{StyleBox[\"μ\", \"TR\"], \",\", StyleBox[\"σ\", \"TR\"]}], \"]\"}] represents a Wiener process with a drift StyleBox[\"μ\", \"TR\"] and volatility StyleBox[\"σ\", \"TR\"].\nRowBox[{\"WienerProcess\", \"[\", \"]\"}] represents a standard Wiener process with drift 0 and volatility 1.", - "WignerD":"RowBox[{\"WignerD\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"ψ\", \"TR\"], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] gives the Wigner D-function RowBox[{SubsuperscriptBox[StyleBox[\"D\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], StyleBox[\"j\", \"TI\"]], \"(\", RowBox[{\"ψ\", \",\", \"θ\", \",\", \"ϕ\"}], \")\"}].\nRowBox[{\"WignerD\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"], \",\", StyleBox[\"ϕ\", \"TR\"]}], \"]\"}] gives the Wigner D-function RowBox[{SubsuperscriptBox[StyleBox[\"D\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], StyleBox[\"j\", \"TI\"]], \"(\", RowBox[{\"0\", \",\", \"θ\", \",\", \"ϕ\"}], \")\"}].\nRowBox[{\"WignerD\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{StyleBox[\"j\", \"TI\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"θ\", \"TR\"]}], \"]\"}] gives the Wigner D-function RowBox[{SubsuperscriptBox[StyleBox[\"D\", \"TI\"], RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], \"1\"], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], \"2\"]}], StyleBox[\"j\", \"TI\"]], \"(\", RowBox[{\"0\", \",\", \"θ\", \",\", \"0\"}], \")\"}].", - "WignerSemicircleDistribution":"RowBox[{\"WignerSemicircleDistribution\", \"[\", StyleBox[\"r\", \"TI\"], \"]\"}] represents a Wigner semicircle distribution with radius StyleBox[\"r\", \"TI\"] centered at the origin.\nRowBox[{\"WignerSemicircleDistribution\", \"[\", RowBox[{StyleBox[\"a\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] represents a Wigner semicircle distribution with radius StyleBox[\"r\", \"TI\"] centered at StyleBox[\"a\", \"TI\"].", - "WikipediaData":"RowBox[{\"WikipediaData\", \"[\", StyleBox[\"article\", \"TI\"], \"]\"}] gives the plain text of the specified Wikipedia article.\nRowBox[{\"WikipediaData\", \"[\", RowBox[{StyleBox[\"article\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives the value of the specified property, modified by optional parameters, for the given Wikipedia article.\nRowBox[{\"WikipediaData\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"Category\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"category\", \"TI\"]}], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives the value of the specified property, modified by optional parameters, for the given Wikipedia category.\nRowBox[{\"WikipediaData\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"PageID\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"pageid\", \"TI\"]}], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] gives the value of the specified property, modified by optional parameters, for the article corresponding to the given numerical Wikipedia page ID.", - "WikipediaSearch":"RowBox[{\"WikipediaSearch\", \"[\", StyleBox[\"keywords\", \"TI\"], \"]\"}] returns a list of Wikipedia articles whose titles include the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"Title\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"keywords\", \"TI\"]}], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] returns a list of Wikipedia articles whose titles include the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", RowBox[{RowBox[{StyleBox[\"\\\"Category\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"keywords\", \"TI\"]}], \",\", StyleBox[\"options\", \"TI\"]}], \"]\"}] returns a list of Wikipedia categories whose titles include the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", RowBox[{StyleBox[\"\\\"Content\\\"\",ShowStringCharacters->True], \"\", StyleBox[\"keywords\", \"TI\"]}], \"]\"}] returns a list of Wikipedia articles whose content includes the given keywords.\nRowBox[{\"WikipediaSearch\", \"[\", StyleBox[\"loc\", \"TI\"], \"]\"}] returns a list of Wikipedia articles whose associated coordinates are near the given location.", - "WilksW":"RowBox[{\"WilksW\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] gives Wilks's StyleBox[\"\", \"TR\"] for the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "WilksWTest":"RowBox[{\"WilksWTest\", \"[\", RowBox[{SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests whether the matrices SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"m\", \"TI\"], StyleBox[\"2\", \"TR\"]] are independent.\nRowBox[{\"WilksWTest\", \"[\", RowBox[{StyleBox[\"…\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "WindDirectionData":"RowBox[{\"WindDirectionData\", \"[\", \"]\"}] gives the most recent measurement for wind direction near the current location.\nRowBox[{\"WindDirectionData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the wind direction value for the specified time near the current location.\nRowBox[{\"WindDirectionData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for wind direction near the specified location.\nRowBox[{\"WindDirectionData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"WindDirectionData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", - "WindowClickSelect":"WindowClickSelect is a notebook option that specifies whether the window for the notebook should become selected if you click it. ", - "WindowElements":"WindowElements is a notebook option that specifies the elements to include in the window used to display the notebook on the screen. ", - "WindowFloating":"WindowFloating is a notebook option that specifies whether the window for the notebook should float on top of other windows when it is displayed on the screen. ", - "WindowFrame":"WindowFrame is a notebook option that specifies the type of frame to draw around the window in which the notebook is displayed on the screen. ", - "WindowFrameElements":"WindowFrameElements is an option for notebooks that specifies the elements to include in the frame of the window used to display the notebook on the screen.", - "WindowMargins":"WindowMargins is a notebook option that specifies what margins to leave around the window that is used to display the notebook on the screen. ", - "WindowMovable":"WindowMovable is a notebook option that specifies whether to allow the window for the notebook to be moved around interactively on the screen. ", - "WindowOpacity":"WindowOpacity is a notebook option that determines the overall opacity of a displayed window.", - "WindowSize":"WindowSize is a notebook option that specifies the size of window that should be used to display a notebook on the screen. ", - "WindowStatusArea":"WindowStatusArea is a notebook option that specifies what should appear in the status area in the frame of the window used to display the notebook. ", - "WindowTitle":"WindowTitle is an option that specifies the title to give for a window. ", - "WindowToolbars":"WindowToolbars is a notebook option that specifies the toolbars to include at the top of the window used to display the notebook on the screen. ", - "WindSpeedData":"RowBox[{\"WindSpeedData\", \"[\", \"]\"}] gives the most recent measurement for wind speed near the current location.\nRowBox[{\"WindSpeedData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the wind speed value for the specified time near the current location.\nRowBox[{\"WindSpeedData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for wind speed near the specified location.\nRowBox[{\"WindSpeedData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"WindSpeedData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", - "WindVectorData":"RowBox[{\"WindVectorData\", \"[\", \"]\"}] gives the most recent weather station measurement for wind vector near the current location.\nRowBox[{\"WindVectorData\", \"[\", StyleBox[\"datespec\", \"TI\"], \"]\"}] gives the wind vector value for the specified time near the current location.\nRowBox[{\"WindVectorData\", \"[\", StyleBox[\"locationspec\", \"TI\"], \"]\"}] gives the most recent measurement for wind vector near the specified location.\nRowBox[{\"WindVectorData\", \"[\", RowBox[{StyleBox[\"locationspec\", \"TI\"], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives the value or values for the specified date and location.\nRowBox[{\"WindVectorData\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"location\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"date\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives values for all specified locations on the specified dates.", - "WinsorizedMean":"RowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the mean of the elements in StyleBox[\"list\", \"TI\"] after replacing the fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements by the remaining extreme values.\nRowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the mean when the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are replaced by the remaining extreme values.\nRowBox[{\"WinsorizedMean\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% winsorized mean RowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"WinsorizedMean\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the winsorized mean of a univariate distribution StyleBox[\"dist\", \"TI\"].", - "WinsorizedVariance":"RowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", StyleBox[\"f\", \"TI\"]}], \"]\"}] gives the variance of the elements in StyleBox[\"list\", \"TI\"] after replacing the fraction StyleBox[\"f\", \"TI\"] of the smallest and largest elements by the remaining extreme values.\nRowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}]}], \"]\"}] gives the variance when the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"1\", \"TR\"]] of the smallest elements and the fraction SubscriptBox[StyleBox[\"f\", \"TI\"], StyleBox[\"2\", \"TR\"]] of the largest elements are replaced by the remaining extreme values.\nRowBox[{\"WinsorizedVariance\", \"[\", StyleBox[\"list\", \"TI\"], \"]\"}] gives the 5% winsorized variance RowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"list\", \"TI\"], \",\", \"0.05\"}], \"]\"}].\nRowBox[{\"WinsorizedVariance\", \"[\", RowBox[{StyleBox[\"dist\", \"TI\"], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] gives the winsorized variance of a univariate distribution StyleBox[\"dist\", \"TI\"].", - "WishartMatrixDistribution":"RowBox[{\"WishartMatrixDistribution\", \"[\", RowBox[{StyleBox[\"ν\", \"TI\"], \",\", StyleBox[\"Σ\", \"TR\"]}], \"]\"}] represents a Wishart matrix distribution with StyleBox[\"ν\", \"TI\"] degrees of freedom and covariance matrix StyleBox[\"Σ\", \"TR\"].", - "With":"RowBox[{\"With\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{RowBox[{StyleBox[\"x\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", RowBox[{StyleBox[\"y\", \"TI\"], \"=\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"expr\", \"TI\"]}], \"]\"}] specifies that all occurrences of the symbols StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], … in StyleBox[\"expr\", \"TI\"] should be replaced by SubscriptBox[StyleBox[\"x\", \"TI\"], StyleBox[\"0\", \"TR\"]], SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"0\", \"TR\"]], …. ", - "WolframAlpha":"RowBox[{\"WolframAlpha\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] sends StyleBox[\"query\", \"TI\"] to Wolfram|Alpha and imports the output.\nRowBox[{\"WolframAlpha\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"query\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"format\", \"TI\"]}], \"]\"}] imports the output according to the specified format.", - "WolframLanguageData":"RowBox[{\"WolframLanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the Wolfram Language symbol StyleBox[\"entity\", \"TI\"].\nRowBox[{\"WolframLanguageData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified Wolfram Language symbol entities.\nRowBox[{\"WolframLanguageData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "Word":"Word represents a word in Read, Find, and related functions. ", - "WordBoundary":"WordBoundary represents a boundary between words for purposes of matching in StringExpression.", - "WordCharacter":"WordCharacter represents a letter or digit character in StringExpression.", - "WordCloud":"RowBox[{\"WordCloud\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a word cloud graphic in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to their multiplicity in the list. \nRowBox[{\"WordCloud\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"WordCloud\", \"[\", RowBox[{\"\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"\"}], \"]\"}] also generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"WordCloud\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] also generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"WordCloud\", \"[\", RowBox[{\"{\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] also generates a word cloud in which the SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]] are sized according to the weights SubscriptBox[StyleBox[\"w\", \"TI\"], StyleBox[\"i\", \"TI\"]]. \nRowBox[{\"WordCloud\", \"[\", RowBox[{StyleBox[\"data\", \"TI\"], \",\", StyleBox[\"shape\", \"TI\"]}], \"]\"}] fits the word cloud into the region defined by StyleBox[\"shape\", \"TI\"].", - "WordCount":"RowBox[{\"WordCount\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the total number of words in StyleBox[\"string\", \"TI\"].", - "WordCounts":"RowBox[{\"WordCounts\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives an association whose keys are the distinct words identified in StyleBox[\"string\", \"TI\"], and whose values give the number of times those words appear in StyleBox[\"string\", \"TI\"].\nRowBox[{\"WordCounts\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"n\", \"TI\"]}], \"]\"}] gives counts of the distinct StyleBox[\"n\", \"TI\"]-grams consisting of runs of StyleBox[\"n\", \"TI\"] words in StyleBox[\"string\", \"TI\"].", - "WordData":"RowBox[{\"WordData\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives the specified property for the English word \"\nStyleBox[\"word\", \"TI\"]\".\nRowBox[{\"WordData\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a list of full word specifications representing possible uses and senses of \"\nStyleBox[\"word\", \"TI\"]\".\nRowBox[{\"WordData\", \"[\", RowBox[{StyleBox[\"wordspec\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives a property for a particular word specification.", - "WordDefinition":"RowBox[{\"WordDefinition\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives the dictionary definitions available for \"\nStyleBox[\"word\", \"TI\"]\".", - "WordFrequency":"RowBox[{\"WordFrequency\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", StyleBox[\"word\", \"TI\"]}], \"]\"}] gives the frequency of StyleBox[\"word\", \"TI\"] in StyleBox[\"text\", \"TI\"].\nRowBox[{\"WordFrequency\", \"[\", RowBox[{StyleBox[\"text\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] gives an association of the frequencies of each of the SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "WordFrequencyData":"RowBox[{\"WordFrequencyData\", \"[\", StyleBox[\"word\", \"TI\"], \"]\"}] gives the frequency of StyleBox[\"word\", \"TI\"] in typical published English text.\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \"]\"}] gives an association of frequencies of the SubscriptBox[StyleBox[\"word\", \"TI\"], StyleBox[\"i\", \"TI\"]].\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{StyleBox[\"word\", \"TI\"], \",\", StyleBox[\"\\\"TimeSeries\\\"\",ShowStringCharacters->True]}], \"]\"}] gives a time series for the frequency of StyleBox[\"word\", \"TI\"] in typical published English text.\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{StyleBox[\"word\", \"TI\"], \",\", StyleBox[\"\\\"TimeSeries\\\"\",ShowStringCharacters->True], \",\", StyleBox[\"datespec\", \"TI\"]}], \"]\"}] gives a time series for dates specified by StyleBox[\"datespec\", \"TI\"].\nRowBox[{\"WordFrequencyData\", \"[\", RowBox[{StyleBox[\"word\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"prop\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] gives property StyleBox[\"prop\", \"TI\"] of the word frequency.", - "WordList":"RowBox[{\"WordList\", \"[\", \"]\"}] gives a list of common words.\nRowBox[{\"WordList\", \"[\", StyleBox[\"type\", \"TI\"], \"]\"}] gives a list of words of the specified type.", - "WordOrientation":"WordOrientation is an option for WordCloud that specifies the orientations in which words appear.", - "WordSearch":"WordSearch is an option for Find and FindList that specifies whether the text searched for must appear as a word. ", - "WordSelectionFunction":"WordSelectionFunction is an option for WordCloud and other functions that specifies which words to use.", - "WordSeparators":"WordSeparators is an option for Read, Find, and related functions that specifies the list of strings to be taken as delimiters for words. ", - "WordSpacings":"WordSpacings is an option for WordCloud that specifies the empty space to be added around each word. ", - "WordStem":"RowBox[{\"WordStem\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] gives a stemmed form of StyleBox[\"word\", \"TI\"], removing plurals, inflections, etc.", - "WordTranslation":"RowBox[{\"WordTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"lang\", \"TI\"]}], \"]\"}] gives translations for StyleBox[\"word\", \"TI\"] into the language StyleBox[\"lang\", \"TI\"].\nRowBox[{\"WordTranslation\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"word\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", RowBox[{SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]]}]}], \"]\"}] gives translations for StyleBox[\"word\", \"TI\"] from SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"1\", \"TR\"]] to SubscriptBox[StyleBox[\"lang\", \"TI\"], StyleBox[\"2\", \"TR\"]].", - "WorkingPrecision":"WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations. ", - "WrapAround":"WrapAround is an option for NotebookFind that specifies whether the find operation should continue past the bottom or top of a document.", - "Write":"RowBox[{\"Write\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] writes the expressions SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] in sequence, followed by a newline, to the specified output channel.", - "WriteLine":"WriteLine[stream, \"string\"] writes \"string\", followed by a newline, to the specified output stream.\nWriteLine[proc, \"string\"] writes \"string\" to an external process proc.", - "WriteString":"RowBox[{\"WriteString\", \"[\", RowBox[{StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"file\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes \"\nStyleBox[\"string\",\n\"TI\"]\" to a file.\nRowBox[{\"WriteString\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] writes \"\nStyleBox[\"string\",\n\"TI\"]\" to a stream or process.\nRowBox[{\"WriteString\", \"[\", RowBox[{StyleBox[\"channel\", \"TI\"], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] converts the SubscriptBox[StyleBox[\"expr\", \"TI\"], StyleBox[\"i\", \"TI\"]] to strings, and then writes them in sequence to the specified output channel. ", - "Wronskian":"RowBox[{\"Wronskian\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Wronskian determinant for the functions RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}] depending on StyleBox[\"x\", \"TI\"].\nRowBox[{\"Wronskian\", \"[\", RowBox[{StyleBox[\"eqn\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Wronskian determinant for the basis of the solutions of the linear differential equation StyleBox[\"eqn\", \"TI\"] with dependent variable StyleBox[\"y\", \"TI\"] and independent variable StyleBox[\"x\", \"TI\"]. \nRowBox[{\"Wronskian\", \"[\", RowBox[{StyleBox[\"eqns\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"y\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"x\", \"TI\"]}], \"]\"}] gives the Wronskian determinant for the system of linear differential equations StyleBox[\"eqns\", \"TI\"].", - "XMLElement":"RowBox[{\"XMLElement\", \"[\", RowBox[{StyleBox[\"tag\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{RowBox[{SubscriptBox[StyleBox[\"attr\", \"TI\"], StyleBox[\"1\", \"TR\"]], \"\", SubscriptBox[StyleBox[\"val\", \"TI\"], StyleBox[\"1\", \"TR\"]]}], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}]}], \"]\"}] represents an element in symbolic XML.", - "XMLObject":"RowBox[{\"XMLObject\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"type\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] represents the head of an XML object in symbolic XML.", - "XMLTemplate":"RowBox[{\"XMLTemplate\", \"[\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"string\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True], \"]\"}] yields a TemplateObject that represents an XML template to be applied using functions like TemplateApply.\nRowBox[{\"XMLTemplate\", \"[\", StyleBox[\"src\", \"TI\"], \"]\"}] uses RowBox[{\"File\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], RowBox[{\"URL\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}], or RowBox[{\"CloudObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] as the source for the string template.\nRowBox[{\"XMLTemplate\", \"[\", RowBox[{StyleBox[\"form\", \"TI\"], \",\", StyleBox[\"args\", \"TI\"]}], \"]\"}] yields a TemplateObject with arguments, suitable for cloud deployment or other evaluation.", - "Xnor":"RowBox[{\"Xnor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical XNOR (not XOR) function. It gives True if an even number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. It gives False if an odd number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. ", - "Xor":"RowBox[{\"Xor\", \"[\", RowBox[{SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"]\"}] is the logical XOR (exclusive OR) function. It gives True if an odd number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. It gives False if an even number of the SubscriptBox[StyleBox[\"e\", \"TI\"], StyleBox[\"i\", \"TI\"]] are True, and the rest are False. ", - "XYZColor":"RowBox[{\"XYZColor\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] is a color directive with tristimulus values StyleBox[\"x\", \"TI\"], StyleBox[\"y\", \"TI\"], and StyleBox[\"z\", \"TI\"].\nRowBox[{\"XYZColor\", \"[\", RowBox[{StyleBox[\"x\", \"TI\"], \",\", StyleBox[\"y\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"], \",\", StyleBox[\"α\", \"TR\"]}], \"]\"}] specifies opacity StyleBox[\"α\", \"TR\"]. ", - "Yellow":"Yellow represents the color yellow in graphics or style specifications. ", - "Yesterday":"Yesterday gives a DateObject representing the previous day.", - "YuleDissimilarity":"RowBox[{\"YuleDissimilarity\", \"[\", RowBox[{StyleBox[\"u\", \"TI\"], \",\", StyleBox[\"v\", \"TI\"]}], \"]\"}] gives the Yule dissimilarity between Boolean vectors StyleBox[\"u\", \"TI\"] and StyleBox[\"v\", \"TI\"].", - "ZernikeR":"RowBox[{\"ZernikeR\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"m\", \"TI\"], \",\", StyleBox[\"r\", \"TI\"]}], \"]\"}] gives the radial Zernike polynomial RowBox[{SubsuperscriptBox[\"R\", \"n\", \"m\"], \"(\", \"r\", \")\"}].", - "ZeroSymmetric":"RowBox[{\"ZeroSymmetric\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"], \",\", SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"n\", \"TI\"]]}], \"}\"}], \"]\"}] represents the symmetry of a zero tensor in the slots SubscriptBox[StyleBox[\"s\", \"TI\"], StyleBox[\"i\", \"TI\"]].", - "ZeroTest":"ZeroTest is an option to various linear algebra functions that gives a function to use in testing whether symbolic expressions should be treated as zero.", - "ZeroWidthTimes":"ZeroWidthTimes is an option for selections that specifies whether blank spaces representing multiplication are explicitly shown.", - "Zeta":"RowBox[{\"Zeta\", \"[\", StyleBox[\"s\", \"TI\"], \"]\"}] gives the Riemann zeta function RowBox[{\"ζ\", \"(\", \"s\", \")\"}]. \nRowBox[{\"Zeta\", \"[\", RowBox[{StyleBox[\"s\", \"TI\"], \",\", StyleBox[\"a\", \"TI\"]}], \"]\"}] gives the generalized Riemann zeta function RowBox[{\"ζ\", \"(\", RowBox[{\"s\", \",\", \"a\"}], \")\"}]. ", - "ZetaZero":"RowBox[{\"ZetaZero\", \"[\", StyleBox[\"k\", \"TI\"], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero of the Riemann zeta function on the critical line.\nRowBox[{\"ZetaZero\", \"[\", RowBox[{StyleBox[\"k\", \"TI\"], \",\", StyleBox[\"t\", \"TI\"]}], \"]\"}] represents the StyleBox[\"k\", \"TI\"]SuperscriptBox[\"\", \"th\"] zero with imaginary part greater than StyleBox[\"t\", \"TI\"].", - "ZIPCodeData":"RowBox[{\"ZIPCodeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives the value of the specified StyleBox[\"property\", \"TI\"] for the ZIP code StyleBox[\"entity\", \"TI\"].\nRowBox[{\"ZIPCodeData\", \"[\", RowBox[{RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"entity\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TR\"]}], \"}\"}], \",\", StyleBox[\"property\", \"TI\"]}], \"]\"}] gives a list of property values for the specified ZIP code entities.\nRowBox[{\"ZIPCodeData\", \"[\", RowBox[{StyleBox[\"entity\", \"TI\"], \",\", StyleBox[\"property\", \"TI\"], \",\", StyleBox[\"annotation\", \"TI\"]}], \"]\"}] gives the specified StyleBox[\"annotation\", \"TI\"] associated with the given StyleBox[\"property\", \"TI\"].", - "ZipfDistribution":"RowBox[{\"ZipfDistribution\", \"[\", StyleBox[\"ρ\", \"TR\"], \"]\"}] represents a zeta distribution with parameter StyleBox[\"ρ\", \"TR\"].\nRowBox[{\"ZipfDistribution\", \"[\", RowBox[{StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"ρ\", \"TR\"]}], \"]\"}] represents a Zipf distribution with range StyleBox[\"n\", \"TI\"].", - "ZoomCenter":"ZoomCenter is an option for DynamicImage that specifies the position of a zoom window within an image. ", - "ZoomFactor":"ZoomFactor is an option for DynamicImage that specifies the magnification factor of a zoom. ", - "ZTest":"RowBox[{\"ZTest\", \"[\", StyleBox[\"data\", \"TI\"], \"]\"}] tests whether the mean of the StyleBox[\"data\", \"TI\"] is zero. \nRowBox[{\"ZTest\", \"[\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]]}], \"}\"}], \"]\"}] tests whether the means of SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"1\", \"TR\"]] and SubscriptBox[StyleBox[\"data\", \"TI\"], StyleBox[\"2\", \"TR\"]] are equal.\nRowBox[{\"ZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]]}], \"]\"}] tests for zero or equal means assuming a population variance SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]].\nRowBox[{\"ZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}], \"]\"}] tests the mean againstRowBox[{\" \", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]]}].\nRowBox[{\"ZTest\", \"[\", RowBox[{StyleBox[\"dspec\", \"TI\"], \",\", SuperscriptBox[StyleBox[\"σ\", \"TR\"], StyleBox[\"2\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"μ\", \"TR\"], StyleBox[\"0\", \"TR\"]], \",\", StyleBox[\"\\\"\\!\\(\\*StyleBox[\\\"property\\\",\\\"TI\\\"]\\)\\\"\", ShowStringCharacters->True]}], \"]\"}] returns the value of \"\nStyleBox[\"property\", \"TI\"]\".", - "ZTransform":"RowBox[{\"ZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", StyleBox[\"n\", \"TI\"], \",\", StyleBox[\"z\", \"TI\"]}], \"]\"}] gives the Z transform of StyleBox[\"expr\", \"TI\"]. \nRowBox[{\"ZTransform\", \"[\", RowBox[{StyleBox[\"expr\", \"TI\"], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"n\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}], \",\", RowBox[{\"{\", RowBox[{SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"1\", \"TR\"]], \",\", SubscriptBox[StyleBox[\"z\", \"TI\"], StyleBox[\"2\", \"TR\"]], \",\", StyleBox[\"…\", \"TI\"]}], \"}\"}]}], \"]\"}] gives the multidimensional Z transform of StyleBox[\"expr\", \"TI\"].", - "$Aborted":"$Aborted is a special symbol that is returned as the result from a calculation that has been aborted. ", - "$AllowExternalChannelFunctions":"$AllowExternalChannelFunctions specifies whether to allow uncertified external channel functions to be executed by ChannelListen and ChannelSend.", - "$AssertFunction":"$AssertFunction specifies a function to apply to assertions that fail.", - "$Assumptions":"$Assumptions is the default setting for the Assumptions option used in such functions as Simplify, Refine, and Integrate. ", - "$AsynchronousTask":"$AsynchronousTask returns the current AsynchronousTaskObject.", - "$AudioInputDevices":"$AudioInputDevices gives the list of available audio input devices.", - "$AudioOutputDevices":"$AudioOutputDevices gives the list of available audio output devices.", - "$BaseDirectory":"$BaseDirectory gives the base directory in which systemwide files to be loaded by the Wolfram System are conventionally placed. ", - "$BatchInput":"$BatchInput is True if input in the current session is being fed directly to the Wolfram Language kernel in batch mode. ", - "$BatchOutput":"$BatchOutput is True if output in the current session is being sent in batch mode, suitable for reading by other programs. ", - "$BlockchainBase":"$BlockchainBase gives the name of the default blockchain to be used for blockchain computations.", - "$BoxForms":"$BoxForms is the list of box formats.", - "$ByteOrdering":"$ByteOrdering gives the native ordering of bytes in binary data on your computer system. ", - "$CacheBaseDirectory":"$CacheBaseDirectory is the directory on your local file system used for storing cache data.", - "$Canceled":"$Canceled is a symbol returned when notebook input is canceled, for example from a dialog box.", - "$ChannelBase":"$ChannelBase gives the base URI of the server to use for brokering channel communications.", - "$CharacterEncoding":"$CharacterEncoding specifies the default raw character encoding to use for input and output functions. ", - "$CharacterEncodings":"$CharacterEncodings gives the list of character encodings that can be used.", - "$CloudBase":"$CloudBase gives the base URI of the server to use for cloud operations.", - "$CloudConnected":"$CloudConnected gives True if an authenticated connection to the Wolfram Cloud has been set up, and False otherwise.", - "$CloudCreditsAvailable":"$CloudCreditsAvailable gives the total number of cloud credits currently available in the cloud account being used.", - "$CloudEvaluation":"$CloudEvaluation gives True if the current evaluation is occurring in the cloud, and False otherwise.", - "$CloudExpressionBase":"$CloudExpressionBase gives the base URI used for storing cloud expressions.", - "$CloudRootDirectory":"$CloudRootDirectory is the cloud object corresponding to the root directory for the file structure in which the current user's cloud objects are stored.", - "$CloudSymbolBase":"$CloudSymbolBase gives the base for storing the values of CloudSymbol objects.", - "$CloudUserID":"$CloudUserID gives the cloud user ID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation.", - "$CloudUserUUID":"$CloudUserUUID gives the cloud UUID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation.", - "$CloudVersion":"$CloudVersion gives the version of the currently connected cloud server.", - "$CommandLine":"$CommandLine is a list of strings giving the elements of the original operating system command line with which the current instantiation of the Wolfram Language was invoked. ", - "$CompilationTarget":"$CompilationTarget gives the default value for the option CompilationTarget of Compile.", - "$ConditionHold":"$ConditionHold is an internal symbol.", - "$ConfiguredKernels":"$ConfiguredKernels is the default list of kernels that are configured for remote or parallel computing.", - "$Context":"$Context is a global variable that gives the current context. ", - "$ContextPath":"$ContextPath is a global variable that gives a list of contexts to search, before $Context, in trying to find a symbol that has been entered. ", - "$ControlActiveSetting":"$ControlActiveSetting is a symbol whose value is True if it is evaluated while a control is active, or in certain other previewing situations. ", - "$Cookies":"$Cookies is a global variable that contains a list of cookies to be used by functions such as URLExecute.", - "$CookieStore":"$CookieStore gives the location at which to store information on persistent cookies to be used by URLRead and related functions.", - "$CreationDate":"$CreationDate gives the date at which the particular release of the Wolfram Language kernel you are running was created. ", - "$CurrentLink":"$CurrentLink is the LinkObject representing the WSTP connection for an external program currently being installed or being called. ", - "$CurrentTask":"$CurrentTask gives the RowBox[{\"TaskObject\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] corresponding to the task in which it is being evaluated.", - "$DateStringFormat":"$DateStringFormat gives the default format to use for date strings generated by DateString.", - "$DefaultAudioInputDevice":"$DefaultAudioInputDevice gives the name of the default audio input device attached to the computer.", - "$DefaultAudioOutputDevice":"$DefaultAudioOutputDevice gives the name of the default audio output device attached to the computer.", - "$DefaultFont":"$DefaultFont give a global default setting for the option DefaultFont.", - "$DefaultImagingDevice":"$DefaultImagingDevice gives the name of the default imaging device attached to the computer.", - "$DefaultLocalBase":"$DefaultLocalBase gives the default base directory to use for local object storage.", - "$DefaultNetworkInterface":"$DefaultNetworkInterface gives the default network interface used on your machine.", - "$DefaultPath":"$DefaultPath is the default setting for $Path for this copy of Mathematica session.", - "$Display":"$Display gives a list of files and pipes to be used with the default $DisplayFunction. ", - "$DisplayFunction":"$DisplayFunction gives the default setting for the option DisplayFunction in graphics functions. ", - "$DistributedContexts":"$DistributedContexts is the default value of the DistributedContexts option of functions such as ParallelTable and ParallelMap.", - "$DynamicEvaluation":"$DynamicEvaluation is a symbol whose value is True if it is evaluated as part of the evaluation of a Dynamic.", - "$Echo":"$Echo gives a list of files and pipes to which all input is echoed. ", - "$EmbedCodeEnvironments":"$EmbedCodeEnvironments gives a list of environments currently supported by EmbedCode in your Wolfram Language session.", - "$EmbeddableServices":"$EmbeddableServices gives a list of external embeddable services that can be accessed through EmbeddedService.", - "$EntityStores":"$EntityStores is a global variable that gives a list of all entity stores that are automatically accessed when Entity is used.", - "$Epilog":"$Epilog is a symbol whose value, if any, is evaluated when a dialog or a Wolfram System session is terminated. ", - "$EvaluationCloudBase":"$EvaluationCloudBase gives the base URI of the cloud server on which the current evaluation is being done.", - "$EvaluationCloudObject":"$EvaluationCloudObject gives the cloud object containing the code currently being executed. ", - "$EvaluationEnvironment":"$EvaluationEnvironment gives a string indicating the type of local or cloud environment in which the current Wolfram Language evaluation is being performed. ", - "$ExportFormats":"$ExportFormats gives a list of export formats currently supported in your Wolfram Language session. ", - "$Failed":"$Failed is a special symbol returned by certain functions when they cannot do what they were asked to do. ", - "$FontFamilies":"$FontFamilies gives the list of the font families available to the Wolfram System.", - "$FormatType":"$FormatType gives the default format type to use for text that appears in graphics. ", - "$FrontEnd":"$FrontEnd is a global variable that specifies to what front end object, if any, the kernel is currently connected. ", - "$FrontEndSession":"$FrontEndSession is a global symbol that represents the current session of the front end from which the kernel is being run.", - "$GeoLocation":"$GeoLocation is a settable global variable that specifies the default geodetic location to use.", - "$GeoLocationCity":"$GeoLocationCity gives the city entity for the current setting for $GeoLocation.", - "$GeoLocationCountry":"$GeoLocationCountry gives the country entity for the current setting for $GeoLocation.", - "$GeoLocationSource":"$GeoLocationSource is a string giving the source of the default geodetic location.", - "$HistoryLength":"$HistoryLength specifies the number of previous lines of input and output to keep in a Wolfram System session. ", - "$HomeDirectory":"$HomeDirectory gives your \"home\" directory. ", - "$HTTPCookies":"Returns the list of globally shared cookies.", - "$IgnoreEOF":"$IgnoreEOF specifies whether the Wolfram System should terminate when it receives an end‐of‐file character as input. ", - "$ImageFormattingWidth":"$ImageFormattingWidth gives the default target width at which to wrap when formatting objects.", - "$ImagingDevice":"$ImagingDevice gives the name of the imaging device used to capture images.", - "$ImagingDevices":"$ImagingDevices gives a list of available imaging devices.", - "$ImportFormats":"$ImportFormats gives a list of import formats currently supported in your Wolfram Language session. ", - "$IncomingMailSettings":"$IncomingMailSettings gives the default settings used by MailServerConnect to connect to an incoming mail server.", - "$InitialDirectory":"$InitialDirectory gives the initial directory when the current Wolfram System session was started. ", - "$Initialization":"$Initialization is a symbol whose value, if any, is evaluated with RowBox[{\"ReleaseHold\", \"[\", \"$Initialization\", \"]\"}] at the start of a Wolfram Language session.", - "$InitializationContexts":"$InitializationContexts is a symbol whose value, if any, specifies a list of packages to read with Needs at the start of a Wolfram Language session.", - "$Input":"$Input is a global variable whose value is the name of the stream from which input to the Wolfram Language is currently being sought. ", - "$InputFileName":"$InputFileName is a global variable whose value is the absolute file name of the input file from which input to the Wolfram Language is currently being sought.", - "$InputStreamMethods":"$InputStreamMethods gives the list of input stream methods that can be used.", - "$Inspector":"$Inspector is a global variable which gives a function to apply when the inspector is invoked from an interrupt menu. ", - "$InstallationDate":"$InstallationDate gives the date and time at which the copy of the StyleBox[\"Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] kernel you are running was installed. ", - "$InstallationDirectory":"$InstallationDirectory gives the top‐level directory in which your Wolfram System installation resides. ", - "$InterpreterTypes":"$InterpreterTypes gives a list of the currently available types for the Interpreter function.", - "$IterationLimit":"$IterationLimit gives the maximum length of evaluation chain used in trying to evaluate any expression. ", - "$KernelCount":"$KernelCount gives the number of subkernels available for parallel computations.", - "$KernelID":"$KernelID is a unique ID number assigned to each running parallel kernel.", - "$Language":"$Language is a settable global variable that specifies the default language used by the Wolfram System.", - "$LibraryPath":"$LibraryPath gives the default list of directories to search in attempting to find a library.", - "$LicenseExpirationDate":"$LicenseExpirationDate gives the expiration date for the license under which the Wolfram System is being run.", - "$LicenseID":"$LicenseID is a string that gives the license ID under which the Wolfram System is being run.", - "$LicenseProcesses":"$LicenseProcesses is the number of Mathematica processes currently being run under the license.", - "$LicenseServer":"$LicenseServer is a string that gives the name of the license server that is currently authorizing the Wolfram System to be run.", - "$LicenseSubprocesses":"$LicenseSubprocesses is the number of Mathematica subprocesses currently being run under the license.", - "$Line":"$Line is a global variable that specifies the number of the current input line. ", - "$Linked":"$Linked is True if the Wolfram Language kernel is being run through WSTP. ", - "$LinkSupported":"$LinkSupported is True if WSTP can be used in the version of Mathematica you are running, and is False otherwise.", - "$LocalBase":"$LocalBase gives the base directory to use for local object storage.", - "$LocalSymbolBase":"$LocalSymbolBase gives the base directory for storing values of LocalSymbol objects.", - "$MachineAddresses":"$MachineAddresses gives a list of strings specifying the current IP addresses associated with the computer on which the Wolfram System is being run.", - "$MachineDomain":"$MachineDomain is a string which gives the name of the network domain for the computer on which StyleBox[\"the Wolfram System\", \"RebrandingTerm\", \"ReplacedText\" -> \"Mathematica\"] is being run, if such a name is defined. ", - "$MachineDomains":"$MachineDomains is a list of strings giving the names of the current network domains associated with the computer on which the Wolfram System is being run. ", - "$MachineEpsilon":"$MachineEpsilon gives the difference between 1.0 and the next-nearest number representable as a machine-precision number. ", - "$MachineID":"$MachineID is a string that gives, if possible, a unique identification code for the computer on which the Wolfram System is being run.", - "$MachineName":"$MachineName is a string that gives the assigned name of the computer on which the Wolfram System is being run, if such a name is defined. ", - "$MachinePrecision":"$MachinePrecision gives the number of decimal digits of precision used for machine‐precision numbers. ", - "$MachineType":"$MachineType is a string giving the general type of computer on which the Wolfram System is being run. ", - "$MaxExtraPrecision":"$MaxExtraPrecision gives the maximum number of extra digits of precision to be used in functions such as N. ", - "$MaxLicenseProcesses":"$MaxLicenseProcesses is the maximum number of processes provided by the license.", - "$MaxLicenseSubprocesses":"$MaxLicenseSubprocesses is the maximum number of subprocesses provided by the license.", - "$MaxMachineNumber":"$MaxMachineNumber is the largest machine‐precision number that can be used on a particular computer system. ", - "$MaxNumber":"$MaxNumber gives the maximum arbitrary‐precision number that can be represented on a particular computer system. ", - "$MaxPiecewiseCases":"$MaxPiecewiseCases gives the maximum number of cases to allow in explicit Piecewise objects generated by expanding any single piecewise function. ", - "$MaxPrecision":"$MaxPrecision gives the maximum number of digits of precision to be allowed in arbitrary‐precision numbers. ", - "$MaxRootDegree":"$MaxRootDegree specifies the maximum degree of polynomial to allow in Root objects.", - "$MessageGroups":"$MessageGroups is the list of rules that gives named message groups used in functions like On and Quiet.", - "$MessagePrePrint":"$MessagePrePrint is a global variable whose value, if set, is applied to expressions before they are included in the text of messages. ", - "$MinMachineNumber":"$MinMachineNumber is the smallest positive machine‐precision number that can be represented in normalized form on your computer system. ", - "$MinNumber":"$MinNumber gives the minimum positive arbitrary‐precision number that can be represented on a particular computer system. ", - "$MinPrecision":"$MinPrecision gives the minimum number of digits of precision to be allowed in arbitrary‐precision numbers. ", - "$MobilePhone":"$MobilePhone gives the verified mobile phone number associated with the current user account.", - "$ModuleNumber":"$ModuleNumber gives the current serial number to be used for local variables that are created. ", - "$NetworkConnected":"$NetworkConnected gives True if your computer has a network interface that is active and capable of sending and receiving IP traffic, and False otherwise.", - "$NetworkInterfaces":"$NetworkInterfaces gives the list of network interfaces available on your machine.", - "$NetworkLicense":"$NetworkLicense gives True if using a network license, and False otherwise.", - "$NewMessage":"$NewMessage is a global variable that, if set, is applied to the symbol name and tag of messages that are requested but have not yet been defined. ", - "$NewSymbol":"$NewSymbol is a global variable which, if set, is applied to the name and context of each new symbol that the Wolfram Language creates. ", - "$Notebooks":"$Notebooks is True if the Wolfram System is being used with a notebook‐based front end. ", - "$NoValue":"$NoValue is a special value that can be assigned to an RowBox[{\"InitializationValue\", \"[\", StyleBox[\"…\", \"TR\"], \"]\"}] object to indicate that the symbol referenced by the initialization value should be initialized with no value.", - "$NumberMarks":"$NumberMarks gives the default value for the option NumberMarks, which specifies whether ` marks should be included in the input form representations of approximate numbers. ", - "$OperatingSystem":"$OperatingSystem is a string giving the type of operating system under which the Wolfram System is being run. ", - "$Output":"$Output gives the list of files and pipes to which standard output from the Wolfram Language is sent. ", - "$OutputForms":"$OutputForms is a list of the formatting functions that get stripped off when wrapped around the output.", - "$OutputSizeLimit":"$OutputSizeLimit specifies the maximum size in bytes of expressions that will automatically be output in their entirety in a Wolfram System notebook. ", - "$OutputStreamMethods":"$OutputStreamMethods gives the list of output stream methods that can be used.", - "$Packages":"$Packages gives a list of the contexts corresponding to all packages which have been loaded in your current Wolfram System session. ", - "$ParentLink":"$ParentLink is the WSTP LinkObject currently used for input and output by the Wolfram Language kernel in a particular session. ", - "$ParentProcessID":"$ParentProcessID gives the ID assigned to the process which invokes the Wolfram Language kernel by the operating system under which it is run. ", - "$PasswordFile":"$PasswordFile is a string giving the password file used when the kernel was started.", - "$Path":"$Path gives the default list of directories to search in attempting to find an external file. ", - "$PathnameSeparator":"$PathnameSeparator is a string used as a separator when full file and directory names are constructed.", - "$PerformanceGoal":"$PerformanceGoal gives the default setting for the option PerformanceGoal for graphics and other algorithmic functions.", - "$Permissions":"$Permissions is the default setting used for the Permissions option when cloud objects are created.", - "$PersistenceBase":"$PersistenceBase gives the default persistence location at which to store new values assigned to PersistentValue objects.", - "$PersistencePath":"$PersistencePath gives the default list of persistence locations at which to look for values assigned to PersistentValue object.", - "$PipeSupported":"$PipeSupported is True if pipes can be used in the version of Mathematica you are running, and is False otherwise.", - "$PlotTheme":"$PlotTheme gives the default setting for the option PlotTheme for graphics functions.", - "$Post":"$Post is a global variable whose value, if set, is applied to every output expression. ", - "$Pre":"$Pre is a global variable whose value, if set, is applied to every input expression. ", - "$PreInitialization":"$PreInitialization is a symbol whose value, if any, is evaluated with RowBox[{\"ReleaseHold\", \"[\", \"$PreInitialization\", \"]\"}] before any other initializations in a Wolfram Language session.", - "$PrePrint":"$PrePrint is a global variable whose value, if set, is applied to every expression before it is printed. ", - "$PreRead":"$PreRead is a global variable whose value, if set, is applied to the text or box form of every input expression before it is fed to the Wolfram Language. ", - "$PrintForms":"$PrintForms is the list of basic print forms. It is automatically updated when Format definitions using new printforms are made.", - "$PrintLiteral":"$PrintLiteral is an internal symbol.", - "$Printout3DPreviewer":"$Printout3DPreviewer gives the default setting for the option Printout3DPreviewer in 3D printing functions.", - "$ProcessID":"$ProcessID gives the ID assigned to the Wolfram Language kernel process by the operating system under which it is run. ", - "$ProcessorCount":"$ProcessorCount gives the number of processor cores available on the computer system on which the Wolfram System is being run.", - "$ProcessorType":"$ProcessorType is a string giving the architecture of the processor on which the Wolfram System is being run. ", - "$ProductInformation":"$ProductInformation is a list of rules giving detailed information about the software product to which the current kernel belongs. ", - "$ProgramName":"$ProgramName is the name of the program being run under the license.", - "$PublisherID":"$PublisherID gives the default ID used to submit resources for publication in the resource system.", - "$RandomState":"$RandomState gives a representation of the internal state of the pseudorandom generator used by Random. ", - "$RecursionLimit":"$RecursionLimit gives the current limit on the number of levels of recursion that the Wolfram Language can use. ", - "$ReleaseNumber":"$ReleaseNumber is an integer which gives the current Wolfram Language kernel release number, and increases in successive releases. ", - "$RequesterAddress":"$RequesterAddress gives the IP address originating an HTTP request that initiated the current evaluation.", - "$RequesterWolframID":"$RequesterWolframID gives the Wolfram ID of an authenticated user requesting the current evaluation. ", - "$RequesterWolframUUID":"$RequesterWolframUUID gives the Wolfram UUID of an authenticated user requesting the current evaluation. ", - "$RootDirectory":"$RootDirectory gives the root directory of your file system.", - "$ScheduledTask":"$ScheduledTask returns within a scheduled task the ScheduledTaskObject or CloudObject for the task.", - "$ScriptCommandLine":"$ScriptCommandLine is a list of strings giving the elements of the command line with which the standalone Wolfram System script was invoked.", - "$ScriptInputString":"$ScriptInputString represents input given on the standard input channel to the original operating system command with which the current instantiation of the Wolfram Language was invoked.", - "$ServiceCreditsAvailable":"$ServiceCreditsAvailable gives the available Service Credits in the user's account. ", - "$Services":"$Services gives a list of external services available through ServiceConnect. ", - "$SessionID":"$SessionID is a number set up to be unique to a particular Wolfram System session. ", - "$SharedFunctions":"$SharedFunctions is the list of functions currently being shared among parallel kernels.", - "$SharedVariables":"$SharedVariables is the list of variables currently being shared among parallel kernels.", - "$SoundDisplayFunction":"$SoundDisplayFunction gives the default setting for the option DisplayFunction in sound functions. ", - "$SourceLink":"$SourceLink specifies the default source to be used for deployed cloud objects.", - "$SummaryBoxDataSizeLimit":"$SummaryBoxDataSizeLimit specifies the maximum size in bytes of expressions that will be stored in displayed summary boxes.", - "$SuppressInputFormHeads":"$SuppressInputFormHeads is a list of the heads of expressions whose InputForm should not be sent automatically to front ends.", - "$SynchronousEvaluation":"$SynchronousEvaluation is a symbol whose value is True if it is evaluated as part of a synchronous evaluation.", - "$SyntaxHandler":"$SyntaxHandler is a global variable that, if set, is applied to any input string that is found to contain a syntax error. ", - "$System":"$System is a string describing the type of computer system on which the Wolfram System is being run. ", - "$SystemCharacterEncoding":"$SystemCharacterEncoding gives the default raw character encoding for the computer system on which the Wolfram System is being run. ", - "$SystemID":"$SystemID is a short string that identifies the type of computer system on which the Wolfram System is being run. ", - "$SystemShell":"$SystemShell is a symbol that specifies the system shell for the OS that is currently being used.", - "$SystemTimeZone":"$SystemTimeZone gives the current time zone for the computer system on which the Wolfram System is being run.", - "$SystemWordLength":"$SystemWordLength gives the effective number of bits in raw machine words on the computer system where the Wolfram System is running.", - "$TemplatePath":"$TemplatePath gives the default list of directories to search in attempting to find a template file. ", - "$TemporaryDirectory":"$TemporaryDirectory gives the main system directory for temporary files on your computer system.", - "$TemporaryPrefix":"$TemporaryPrefix is a string that gives the path and beginning of the name for files and directories that are created by OpenWrite and CreateDirectory when no explicit file is specified.", - "$TextStyle":"$TextStyle gives the default style to use for text in graphics. ", - "$TimedOut":"$TimedOut is a special symbol returned by certain functions when an operation times out.", - "$TimeUnit":"$TimeUnit gives the minimum time interval in seconds recorded on your computer system. ", - "$TimeZone":"$TimeZone gives the current time zone to assume for dates and times. ", - "$TimeZoneEntity":"$TimeZoneEntity gives the time zone Entity corresponding to the locale setting for your computer operating system.", - "$TracePattern":"$TracePattern is the currently active pattern argument to Trace and related functions. It can be reset during the trace to alter the set of expressions recorded or printed.", - "$TracePostAction":"$TracePostAction is the currently active fourth argument to TraceScan (or the equivalent in related functions). It can be reset during the trace to alter the action taken after intercepted expressions are evaluated.", - "$TracePreAction":"$TracePreAction is the currently active first argument to TraceScan (or the equivalent in related functions). It can be reset during the trace to alter the action taken before intercepted expressions are evaluated.", - "$UnitSystem":"$UnitSystem gives the unit system to assume for returned quantities.", - "$Urgent":"$Urgent gives the list of files and pipes to which urgent output from the Wolfram Language is sent. ", - "$UserAgentString":"$UserAgentString gives the user agent string from an HTTP request that initiated the current evaluation.", - "$UserBaseDirectory":"$UserBaseDirectory gives the base directory in which user‐specific files to be loaded by the Wolfram System are conventionally placed. ", - "$UserDocumentsDirectory":"$UserDocumentsDirectory gives your default \"documents\" directory. ", - "$UserName":"$UserName gives the login name of the user who invoked the Wolfram Language kernel, as recorded by the operating system. ", - "$UserURLBase":"$UserURLBase gives the user identification element to be inserted in the URLs of cloud objects.", - "$Version":"$Version is a string that gives the version of the Wolfram Language kernel you are running. ", - "$VersionNumber":"$VersionNumber is a real number which gives the current Wolfram Language kernel version number, and increases in successive versions. ", - "$VoiceStyles":"$VoiceStyles gives the list of available voices for speech synthesis.", - "$WolframID":"$WolframID gives the Wolfram ID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation.", - "$WolframUUID":"$WolframUUID gives the Wolfram UUID of a currently logged-in user, or the user who owns a cloud object containing the code used for the current evaluation." -} \ No newline at end of file diff --git a/build/utilities.wl b/build/utilities.wl index c409a1d..a46fbdc 100644 --- a/build/utilities.wl +++ b/build/utilities.wl @@ -2,18 +2,14 @@ Begin["util`"]; -getAtomic[orders_List] := If[Length @ orders == 0 || Length @ # == 0, +getAtomic[orders_List] := If[Length[orders] == 0 || Length[#] == 0, #2, - getAtomic[Rest @ orders][#[[First @ orders]]] + getAtomic[Rest[orders]][#[[First[orders]]]] ]&[Level[#, 1], #]&; -getAtomic[expr_, orders_List] := getAtomic[orders][expr]; ruleMap[func_, list_] := With[{size = Length @ list}, Monitor[ - Quiet[Table[ - list[[i]] -> func[list[[i]]], - {i, size} - ]], + Quiet @ Table[list[[i]] -> func[list[[i]]], {i, size}], ProgressIndicator[i / size] ] ]; @@ -23,6 +19,18 @@ readFile[filename_] := Import[resolveFileName[filename], "String"]; writeFile[filename_, content_] := Export[resolveFileName[filename], content, "String"]; replaceFile[filename_, rules_] := writeFile[filename, StringReplace[readFile[filename], rules]]; +getGuideText[filename_] := Import[FileNameJoin[{ + $InstallationDirectory, + "Documentation", + $Language, + "System/Guides", + filename <> ".nb" +}], {"Cells", "GuideText"}]; + +toCamel[source_] := StringReplace[source, + ("-" | "_" | " " | StartOfString) ~~ char_ :> ToUpperCase[char] +]; + toJSON[expression_, indent_: 2] := StringReplace[ JSONTools`ToJSON[expression], StartOfLine ~~ whitespace: " ".. :> StringTake[whitespace, StringLength @ whitespace / 4 * indent] From 7ef52b19b0c40de05aff38dd866dc54ff7b31440 Mon Sep 17 00:00:00 2001 From: Shigma <1700011071@pku.edu.cn> Date: Sat, 17 Nov 2018 16:12:41 +0800 Subject: [PATCH 7/7] try yaml macro --- build/classify.wl | 15 +- build/macros.py | 23 ++ build/symbols.wl | 8 +- build/wolfram.sublime-syntax.yaml-macros | 354 +++++++++++++++++++++++ 4 files changed, 390 insertions(+), 10 deletions(-) create mode 100644 build/macros.py create mode 100644 build/wolfram.sublime-syntax.yaml-macros diff --git a/build/classify.wl b/build/classify.wl index 5bd837e..c69a7bc 100644 --- a/build/classify.wl +++ b/build/classify.wl @@ -19,7 +19,7 @@ classify[usages_, rules_Association] := classify[usages, ]; -classifiedNamespace = classify[Keys[#] -> "Definition" /. Values[#] & /@ wl`usageDictionary, <| +classifiedNamespace = classify[Keys[#] -> ("Definition" /. Values[#]) & /@ wl`usageDictionary, <| "built_in_functions" -> StringStartsQ["\!\(\*RowBox[{"], "built_in_options" -> StringContainsQ[RegularExpression["is an? (\\w+ )?option"]], "built_in_constants" -> (True &) @@ -57,7 +57,7 @@ classify[functionArguments, <| classify[Keys[#] -> "LocalVariables" /. Values[#] & /@ wl`usageDictionary, - If[ListQ[#], + If[MatchQ[#, {_String, _List}], "local_variables_" <> With[{pos = #[[2]]}, If[Length[pos] == 1, "at_" <> ToString[pos[[1]]], @@ -69,7 +69,10 @@ classify[Keys[#] -> "LocalVariables" /. Values[#] & /@ wl`usageDictionary, ]; -util`replaceFile["../WolframLanguage.sublime-syntax", KeyValueMap[RuleDelayed[ - prefix: (#1 <> ":" ~~ Whitespace) ~~ (WordCharacter | "$" | "|").., - prefix <> StringRiffle[StringReplace["$" -> "\\$"] /@ #2, "|"] -]&, $dataset]]; +util`replaceFile["wolfram.sublime-syntax.yaml-macros", RuleDelayed[ + title: "# generated by build/classify.wl\n" ~~ Shortest[___] ~~ RegularExpression["^\\s*$"], + title <> StringJoin @ KeyValueMap[ + #1 <> ": " <> StringRiffle[StringReplace["$" -> "\\$"] /@ #2, "|"] <> "\n " &, + $dataset + ] +]]; diff --git a/build/macros.py b/build/macros.py new file mode 100644 index 0000000..69ac6d4 --- /dev/null +++ b/build/macros.py @@ -0,0 +1,23 @@ +from YAMLMacros.lib.syntax import rule + +def builtin(str): + return r'(?:System`)?({{%s}})(?![$`])\b' % str + +def meta(end, scope, type): + return [ + rule(meta_scope = 'meta.%s.wolfram' % scope), + rule( + match = end, + scope = 'punctuation.section.%s.end.wolfram' % type, + pop = True, + ), + rule(include = 'expressions'), + ] + +def nested(start, end, type): + return rule( + match = start, + scope = 'punctuation.section.%s.begin.wolfram' % type, + push = meta(type, end, type) + ) + \ No newline at end of file diff --git a/build/symbols.wl b/build/symbols.wl index f273433..6bf5db8 100644 --- a/build/symbols.wl +++ b/build/symbols.wl @@ -20,10 +20,10 @@ Function[usages, ] &, namespace]; -documentedLists = Keys[#] -> Values[#] /@ util`getGuideText[util`toCamel[Keys[#]]] & /@ { - "listing_of_named_characters" -> (StringTake[#, {3, -2}]&) @* util`getAtomic[{1, 1, -1, 1}], - "listing_of_supported_external_services" -> util`getAtomic[{1, 1, 1, 1, 1, 1, 1, 1, 1}], - "listing_of_all_formats" -> util`getAtomic[{1, 1, 1, 1, 1, 1, 1, 1, 1}] +documentedLists = Keys[#] -> Values[#] /@ util`getGuideText["ListingOf" <> util`toCamel[Keys[#]]] & /@ { + "named_characters" -> (StringTake[#, {3, -2}]&) @* util`getAtomic[{1, 1, -1, 1}], + "supported_external_services" -> (StringTake[#, {2, -2}]&) @* util`getAtomic[{1, 1, 1, 1, 1, 1, 1, 1, 1}], + "all_formats" -> (StringTake[#, {2, -2}]&) @* util`getAtomic[{1, 1, 1, 1, 1, 1, 1, 1, 1}] }; diff --git a/build/wolfram.sublime-syntax.yaml-macros b/build/wolfram.sublime-syntax.yaml-macros new file mode 100644 index 0000000..aed1ab7 --- /dev/null +++ b/build/wolfram.sublime-syntax.yaml-macros @@ -0,0 +1,354 @@ +%YAML 1.2 +%TAG ! tag:yaml-macros:macros: +--- + +name: Wolfram Language +scope: source.wolfram + +first_line_match: ^#!.*\b(math|wolfram).*$ + +file_extensions: + - m + - wl + - wls + - nb + +variables: + number: (?:\d+\.?|\.\d)\d* + symbol: '[$[:alpha:]]+[$[:alnum:]]*' + identifier: (?:{{symbol}}`)*{{symbol}} + scoping_functions: Block|Module|With|Function|DynamicModule + numeric_constants: Catalan|Degree|E|EulerGamma|Glaisher|GoldenAngle|GoldenRatio|I|Khinchin|MachinePrecision|Pi + + # generated by build/classify.wl + named_characters: AAcute|ABar|ACup|ADoubleDot|AE|AGrave|AHat|Aleph|AliasDelimiter|AliasIndicator|AlignmentMarker|Alpha|AltKey|And|Angle|Angstrom|AquariusSign|AriesSign|ARing|AscendingEllipsis|ATilde|AutoLeftMatch|AutoOperand|AutoPlaceholder|AutoRightMatch|AutoSpace|Backslash|BeamedEighthNote|BeamedSixteenthNote|Because|Bet|Beta|BlackBishop|BlackKing|BlackKnight|BlackPawn|BlackQueen|BlackRook|Breve|Bullet|CAcute|CancerSign|Cap|CapitalAAcute|CapitalABar|CapitalACup|CapitalADoubleDot|CapitalAE|CapitalAGrave|CapitalAHat|CapitalAlpha|CapitalARing|CapitalATilde|CapitalBeta|CapitalCAcute|CapitalCCedilla|CapitalCHacek|CapitalChi|CapitalDelta|CapitalDHacek|CapitalDifferentialD|CapitalDigamma|CapitalEAcute|CapitalEBar|CapitalECup|CapitalEDoubleDot|CapitalEGrave|CapitalEHacek|CapitalEHat|CapitalEpsilon|CapitalEta|CapitalEth|CapitalGamma|CapitalIAcute|CapitalICup|CapitalIDoubleDot|CapitalIGrave|CapitalIHat|CapitalIota|CapitalKappa|CapitalKoppa|CapitalLambda|CapitalLSlash|CapitalMu|CapitalNHacek|CapitalNTilde|CapitalNu|CapitalOAcute|CapitalODoubleAcute|CapitalODoubleDot|CapitalOE|CapitalOGrave|CapitalOHat|CapitalOmega|CapitalOmicron|CapitalOSlash|CapitalOTilde|CapitalPhi|CapitalPi|CapitalPsi|CapitalRHacek|CapitalRho|CapitalSampi|CapitalSHacek|CapitalSigma|CapitalStigma|CapitalTau|CapitalTHacek|CapitalTheta|CapitalThorn|CapitalUAcute|CapitalUDoubleAcute|CapitalUDoubleDot|CapitalUGrave|CapitalUHat|CapitalUpsilon|CapitalURing|CapitalXi|CapitalYAcute|CapitalZeta|CapitalZHacek|CapricornSign|CCedilla|Cedilla|CenterDot|CenterEllipsis|Cent|CHacek|CheckedBox|Checkmark|Chi|CircleDot|CircleMinus|CirclePlus|CircleTimes|ClockwiseContourIntegral|CloseCurlyDoubleQuote|CloseCurlyQuote|CloverLeaf|ClubSuit|Colon|CommandKey|Conditioned|Congruent|Conjugate|ConjugateTranspose|ConstantC|Continuation|ContourIntegral|ControlKey|Coproduct|Copyright|CounterClockwiseContourIntegral|Cross|CupCap|Cup|CurlyCapitalUpsilon|CurlyEpsilon|CurlyKappa|CurlyPhi|CurlyPi|CurlyRho|CurlyTheta|Currency|Dagger|Dalet|Dash|Degree|DeleteKey|Del|Delta|DescendingEllipsis|DHacek|Diameter|Diamond|DiamondSuit|DifferenceDelta|DifferentialD|Digamma|DirectedEdge|DiscreteRatio|DiscreteShift|DiscretionaryHyphen|DiscretionaryLineSeparator|DiscretionaryPageBreakAbove|DiscretionaryPageBreakBelow|DiscretionaryParagraphSeparator|Distributed|Divides|Divide|DotEqual|DotlessI|DotlessJ|DottedSquare|DoubleContourIntegral|DoubleDagger|DoubledGamma|DoubleDot|DoubleDownArrow|DoubledPi|DoubleLeftArrow|DoubleLeftRightArrow|DoubleLeftTee|DoubleLongLeftArrow|DoubleLongLeftRightArrow|DoubleLongRightArrow|DoublePrime|DoubleRightArrow|DoubleRightTee|DoubleStruckA|DoubleStruckB|DoubleStruckC|DoubleStruckCapitalA|DoubleStruckCapitalB|DoubleStruckCapitalC|DoubleStruckCapitalD|DoubleStruckCapitalE|DoubleStruckCapitalF|DoubleStruckCapitalG|DoubleStruckCapitalH|DoubleStruckCapitalI|DoubleStruckCapitalJ|DoubleStruckCapitalK|DoubleStruckCapitalL|DoubleStruckCapitalM|DoubleStruckCapitalN|DoubleStruckCapitalO|DoubleStruckCapitalP|DoubleStruckCapitalQ|DoubleStruckCapitalR|DoubleStruckCapitalS|DoubleStruckCapitalT|DoubleStruckCapitalU|DoubleStruckCapitalV|DoubleStruckCapitalW|DoubleStruckCapitalX|DoubleStruckCapitalY|DoubleStruckCapitalZ|DoubleStruckD|DoubleStruckE|DoubleStruckEight|DoubleStruckF|DoubleStruckFive|DoubleStruckFour|DoubleStruckG|DoubleStruckH|DoubleStruckI|DoubleStruckJ|DoubleStruckK|DoubleStruckL|DoubleStruckM|DoubleStruckN|DoubleStruckNine|DoubleStruckO|DoubleStruckOne|DoubleStruckP|DoubleStruckQ|DoubleStruckR|DoubleStruckS|DoubleStruckSeven|DoubleStruckSix|DoubleStruckT|DoubleStruckThree|DoubleStruckTwo|DoubleStruckU|DoubleStruckV|DoubleStruckW|DoubleStruckX|DoubleStruckY|DoubleStruckZ|DoubleStruckZero|DoubleUpArrow|DoubleUpDownArrow|DoubleVerticalBar|DownArrowBar|DownArrow|DownArrowUpArrow|DownBreve|DownExclamation|DownLeftRightVector|DownLeftTeeVector|DownLeftVector|DownLeftVectorBar|DownPointer|DownQuestion|DownRightTeeVector|DownRightVector|DownRightVectorBar|DownTeeArrow|DownTee|EAcute|Earth|EBar|ECup|EDoubleDot|EGrave|EHacek|EHat|EighthNote|Element|Ellipsis|EmptyCircle|EmptyDiamond|EmptyDownTriangle|EmptyRectangle|EmptySet|EmptySmallCircle|EmptySmallSquare|EmptySquare|EmptyUpTriangle|EmptyVerySmallSquare|EnterKey|EntityEnd|EntityStart|Epsilon|Equal|EqualTilde|Equilibrium|Equivalent|ErrorIndicator|EscapeKey|Eta|Eth|Euro|Exists|ExponentialE|FiLigature|FilledCircle|FilledDiamond|FilledDownTriangle|FilledLeftTriangle|FilledRectangle|FilledRightTriangle|FilledSmallCircle|FilledSmallSquare|FilledSquare|FilledUpTriangle|FilledVerySmallSquare|FinalSigma|FirstPage|FivePointedStar|Flat|FlLigature|Florin|ForAll|FormalA|FormalAlpha|FormalB|FormalBeta|FormalC|FormalCapitalA|FormalCapitalAlpha|FormalCapitalB|FormalCapitalBeta|FormalCapitalC|FormalCapitalChi|FormalCapitalD|FormalCapitalDelta|FormalCapitalDigamma|FormalCapitalE|FormalCapitalEpsilon|FormalCapitalEta|FormalCapitalF|FormalCapitalG|FormalCapitalGamma|FormalCapitalH|FormalCapitalI|FormalCapitalIota|FormalCapitalJ|FormalCapitalK|FormalCapitalKappa|FormalCapitalKoppa|FormalCapitalL|FormalCapitalLambda|FormalCapitalM|FormalCapitalMu|FormalCapitalN|FormalCapitalNu|FormalCapitalO|FormalCapitalOmega|FormalCapitalOmicron|FormalCapitalP|FormalCapitalPhi|FormalCapitalPi|FormalCapitalPsi|FormalCapitalQ|FormalCapitalR|FormalCapitalRho|FormalCapitalS|FormalCapitalSampi|FormalCapitalSigma|FormalCapitalStigma|FormalCapitalT|FormalCapitalTau|FormalCapitalTheta|FormalCapitalU|FormalCapitalUpsilon|FormalCapitalV|FormalCapitalW|FormalCapitalX|FormalCapitalXi|FormalCapitalY|FormalCapitalZ|FormalCapitalZeta|FormalChi|FormalCurlyCapitalUpsilon|FormalCurlyEpsilon|FormalCurlyKappa|FormalCurlyPhi|FormalCurlyPi|FormalCurlyRho|FormalCurlyTheta|FormalD|FormalDelta|FormalDigamma|FormalE|FormalEpsilon|FormalEta|FormalF|FormalFinalSigma|FormalG|FormalGamma|FormalH|FormalI|FormalIota|FormalJ|FormalK|FormalKappa|FormalKoppa|FormalL|FormalLambda|FormalM|FormalMu|FormalN|FormalNu|FormalO|FormalOmega|FormalOmicron|FormalP|FormalPhi|FormalPi|FormalPsi|FormalQ|FormalR|FormalRho|FormalS|FormalSampi|FormalSigma|FormalStigma|FormalT|FormalTau|FormalTheta|FormalU|FormalUpsilon|FormalV|FormalW|FormalX|FormalXi|FormalY|FormalZ|FormalZeta|FreakedSmiley|Function|Gamma|GeminiSign|Gimel|GothicA|GothicB|GothicC|GothicCapitalA|GothicCapitalB|GothicCapitalC|GothicCapitalD|GothicCapitalE|GothicCapitalF|GothicCapitalG|GothicCapitalH|GothicCapitalI|GothicCapitalJ|GothicCapitalK|GothicCapitalL|GothicCapitalM|GothicCapitalN|GothicCapitalO|GothicCapitalP|GothicCapitalQ|GothicCapitalR|GothicCapitalS|GothicCapitalT|GothicCapitalU|GothicCapitalV|GothicCapitalW|GothicCapitalX|GothicCapitalY|GothicCapitalZ|GothicD|GothicE|GothicEight|GothicF|GothicFive|GothicFour|GothicG|GothicH|GothicI|GothicJ|GothicK|GothicL|GothicM|GothicN|GothicNine|GothicO|GothicOne|GothicP|GothicQ|GothicR|GothicS|GothicSeven|GothicSix|GothicT|GothicThree|GothicTwo|GothicU|GothicV|GothicW|GothicX|GothicY|GothicZ|GothicZero|GrayCircle|GraySquare|GreaterEqualLess|GreaterEqual|GreaterFullEqual|GreaterGreater|GreaterLess|GreaterSlantEqual|GreaterTilde|Hacek|HappySmiley|HBar|HeartSuit|HermitianConjugate|HorizontalLine|HumpDownHump|HumpEqual|Hyphen|IAcute|ICup|IDoubleDot|IGrave|IHat|ImaginaryI|ImaginaryJ|ImplicitPlus|Implies|IndentingNewLine|Infinity|Integral|Intersection|InvisibleApplication|InvisibleComma|InvisiblePostfixScriptBase|InvisiblePrefixScriptBase|InvisibleSpace|InvisibleTimes|Iota|Jupiter|Kappa|KernelIcon|Koppa|Lambda|LastPage|LeftAngleBracket|LeftArrowBar|LeftArrow|LeftArrowRightArrow|LeftAssociation|LeftBracketingBar|LeftCeiling|LeftDoubleBracket|LeftDoubleBracketingBar|LeftDownTeeVector|LeftDownVectorBar|LeftDownVector|LeftFloor|LeftGuillemet|LeftModified|LeftPointer|LeftRightArrow|LeftRightVector|LeftSkeleton|LeftTee|LeftTeeArrow|LeftTeeVector|LeftTriangle|LeftTriangleBar|LeftTriangleEqual|LeftUpDownVector|LeftUpTeeVector|LeftUpVector|LeftUpVectorBar|LeftVector|LeftVectorBar|LeoSign|LessEqual|LessEqualGreater|LessFullEqual|LessGreater|LessLess|LessSlantEqual|LessTilde|LetterSpace|LibraSign|LightBulb|LineSeparator|LongDash|LongEqual|LongLeftArrow|LongLeftRightArrow|LongRightArrow|LowerLeftArrow|LowerRightArrow|LSlash|Mars|MathematicaIcon|MeasuredAngle|MediumSpace|Mercury|Mho|Micro|MinusPlus|Mu|Nand|Natural|NegativeMediumSpace|NegativeThickSpace|NegativeThinSpace|NegativeVeryThinSpace|Neptune|NestedGreaterGreater|NestedLessLess|NeutralSmiley|NewLine|NHacek|NoBreak|NonBreakingSpace|Nor|NotCongruent|NotCupCap|NotDoubleVerticalBar|NotElement|NotEqual|NotEqualTilde|NotExists|NotGreater|NotGreaterEqual|NotGreaterFullEqual|NotGreaterGreater|NotGreaterLess|NotGreaterSlantEqual|NotGreaterTilde|NotHumpDownHump|NotHumpEqual|NotLeftTriangle|NotLeftTriangleBar|NotLeftTriangleEqual|NotLessEqual|NotLessFullEqual|NotLessGreater|NotLess|NotLessLess|NotLessSlantEqual|NotLessTilde|Not|NotNestedGreaterGreater|NotNestedLessLess|NotPrecedes|NotPrecedesEqual|NotPrecedesSlantEqual|NotPrecedesTilde|NotReverseElement|NotRightTriangle|NotRightTriangleBar|NotRightTriangleEqual|NotSquareSubset|NotSquareSubsetEqual|NotSquareSuperset|NotSquareSupersetEqual|NotSubset|NotSubsetEqual|NotSucceeds|NotSucceedsEqual|NotSucceedsSlantEqual|NotSucceedsTilde|NotSuperset|NotSupersetEqual|NotTilde|NotTildeEqual|NotTildeFullEqual|NotTildeTilde|NotVerticalBar|NTilde|Nu|Null|NumberSign|OAcute|ODoubleAcute|ODoubleDot|OE|OGrave|OHat|Omega|Omicron|OpenCurlyDoubleQuote|OpenCurlyQuote|OptionKey|Or|OSlash|OTilde|OverBrace|OverBracket|OverParenthesis|Paragraph|ParagraphSeparator|PartialD|PermutationProduct|Phi|Pi|Piecewise|PiscesSign|Placeholder|PlusMinus|Pluto|Precedes|PrecedesEqual|PrecedesSlantEqual|PrecedesTilde|Prime|Product|Proportion|Proportional|Psi|QuarterNote|RawAmpersand|RawAt|RawBackquote|RawBackslash|RawColon|RawComma|RawDash|RawDollar|RawDot|RawDoubleQuote|RawEqual|RawEscape|RawExclamation|RawGreater|RawLeftBrace|RawLeftBracket|RawLeftParenthesis|RawLess|RawNumberSign|RawPercent|RawPlus|RawQuestion|RawQuote|RawReturn|RawRightBrace|RawRightBracket|RawRightParenthesis|RawSemicolon|RawSlash|RawSpace|RawStar|RawTab|RawTilde|RawUnderscore|RawVerticalBar|RawWedge|RegisteredTrademark|ReturnIndicator|ReturnKey|ReverseDoublePrime|ReverseElement|ReverseEquilibrium|ReversePrime|ReverseUpEquilibrium|RHacek|Rho|RightAngle|RightAngleBracket|RightArrow|RightArrowBar|RightArrowLeftArrow|RightAssociation|RightBracketingBar|RightCeiling|RightDoubleBracket|RightDoubleBracketingBar|RightDownTeeVector|RightDownVector|RightDownVectorBar|RightFloor|RightGuillemet|RightModified|RightPointer|RightSkeleton|RightTee|RightTeeArrow|RightTeeVector|RightTriangle|RightTriangleBar|RightTriangleEqual|RightUpDownVector|RightUpTeeVector|RightUpVector|RightUpVectorBar|RightVector|RightVectorBar|RoundImplies|RoundSpaceIndicator|Rule|RuleDelayed|SadSmiley|SagittariusSign|Sampi|Saturn|ScorpioSign|ScriptA|ScriptB|ScriptC|ScriptCapitalA|ScriptCapitalB|ScriptCapitalC|ScriptCapitalD|ScriptCapitalE|ScriptCapitalF|ScriptCapitalG|ScriptCapitalH|ScriptCapitalI|ScriptCapitalJ|ScriptCapitalK|ScriptCapitalL|ScriptCapitalM|ScriptCapitalN|ScriptCapitalO|ScriptCapitalP|ScriptCapitalQ|ScriptCapitalR|ScriptCapitalS|ScriptCapitalT|ScriptCapitalU|ScriptCapitalV|ScriptCapitalW|ScriptCapitalX|ScriptCapitalY|ScriptCapitalZ|ScriptD|ScriptDotlessI|ScriptDotlessJ|ScriptE|ScriptEight|ScriptF|ScriptFive|ScriptFour|ScriptG|ScriptH|ScriptI|ScriptJ|ScriptK|ScriptL|ScriptM|ScriptN|ScriptNine|ScriptO|ScriptOne|ScriptP|ScriptQ|ScriptR|ScriptS|ScriptSeven|ScriptSix|ScriptT|ScriptThree|ScriptTwo|ScriptU|ScriptV|ScriptW|ScriptX|ScriptY|ScriptZ|ScriptZero|Section|SelectionPlaceholder|SHacek|Sharp|ShortDownArrow|ShortLeftArrow|ShortRightArrow|ShortUpArrow|Sigma|SixPointedStar|SkeletonIndicator|SmallCircle|SpaceIndicator|SpaceKey|SpadeSuit|SpanFromAbove|SpanFromBoth|SpanFromLeft|SphericalAngle|Sqrt|Square|SquareIntersection|SquareSubset|SquareSubsetEqual|SquareSuperset|SquareSupersetEqual|SquareUnion|Star|Sterling|Stigma|Subset|SubsetEqual|Succeeds|SucceedsEqual|SucceedsSlantEqual|SucceedsTilde|SuchThat|Sum|Superset|SupersetEqual|SystemEnterKey|SystemsModelDelay|SZ|TabKey|Tau|TaurusSign|TensorProduct|TensorWedge|THacek|Therefore|Theta|ThickSpace|ThinSpace|Thorn|Tilde|TildeEqual|TildeFullEqual|TildeTilde|Times|Trademark|Transpose|TripleDot|UAcute|UDoubleAcute|UDoubleDot|UGrave|UHat|UnderBrace|UnderBracket|UnderParenthesis|UndirectedEdge|Union|UnionPlus|UpArrow|UpArrowBar|UpArrowDownArrow|UpDownArrow|UpEquilibrium|UpperLeftArrow|UpperRightArrow|UpPointer|Upsilon|UpTee|UpTeeArrow|Uranus|URing|Vee|Venus|VerticalBar|VerticalEllipsis|VerticalLine|VerticalSeparator|VerticalTilde|VeryThinSpace|VirgoSign|WarningSign|WatchIcon|Wedge|WeierstrassP|WhiteBishop|WhiteKing|WhiteKnight|WhitePawn|WhiteQueen|WhiteRook|Wolf|WolframLanguageLogo|WolframLanguageLogoCircle|Xi|Xnor|Xor|YAcute|YDoubleDot|Yen|Zeta|ZHacek + supported_external_services: Twitter|LinkedIn|Facebook|GooglePlus|Instagram|Reddit|Twilio|Pushbullet|Dropbox|Flickr|GoogleAnalytics|SurveyMonkey|MailChimp|Mixpanel|GoogleCalendar|GoogleContacts|OpenLibrary|PubMed|ArXiv|CrossRef|ebSearc|ebImageSearc|BingSearch|GoogleCustomSearch|Yelp|Factual|SeatGeek|extTranslatio|MicrosoftTranslator|GoogleTranslate|PubChem|ChemSpider|OpenPHACTS|FederalReserveEconomicData + all_formats: 3DS|ACO|Affymetrix|AgilentMicroarray|AIFF|ApacheLog|ArcGRID|AU|AVI|Base64|BDF|Binary|Bit|BMP|BSON|Byte|BYU|BZIP2|C|CDED|CDF|Character8|Character16|CIF|Complex64|Complex128|Complex256|CSV|CUR|DAE|DBF|DICOM|DIF|DIMACS|Directory|DOT|DXF|EDF|EMF|EML|EPS|ExpressionJSON|ExpressionML|FASTA|FASTQ|FCS|FITS|FLAC|FLV|FMU|GenBank|GeoJSON|GeoTIFF|GIF|GPX|Graph6|Graphlet|GraphML|GRIB|GTOPO30|GXL|GZIP|HarwellBoeing|HDF|HDF5|HIN|HTML|HTMLFragment|HTTPRequest|HTTPResponse|ICC|ICO|ICS|ICNS|Ini|Integer8|Integer16|Integer24|Integer32|Integer64|Integer128|JavaProperties|JavaScriptExpression|JCAMP-DX|JPEG|JPEG2000|JVX|JSON|KML|LaTeX|LEDA|List|LWO|M4A|MAT|MathML|Maya|MBOX|MCTT|MDB|MGF|MIDI|MMCIF|MO|MOL|MOL2|MP3|MPS|MTP|MTX|MX|MXNet|NASACDF|NB|NDK|NetCDF|NEXUS|NOFF|OBJ|ODS|OFF|OggVorbis|OpenEXR|Package|Pajek|PBM|PCAP|PCX|PDB|PDF|PGM|PHPIni|PICT|PLY|PNG|PNM|POV|PPM|PXR|PythonExpression|QuickTime|Raw|RawBitmap|RawJSON|Real32|Real64|Real128|RIB|RLE|RSS|RTF|SCT|SDF|SDTS|SDTSDEM|SFF|SHP|SMA|SME|SMILES|SND|SP3|Sparse6|STL|String|SVG|SWF|SurferGrid|SXC|Table|TAR|TerminatedString|TeX|TeXFragment|Text|TGA|TIGER|TLE|TGF|TIFF|TSV|UBJSON|UnsignedInteger8|UnsignedInteger16|UnsignedInteger24|UnsignedInteger32|UnsignedInteger64|UnsignedInteger128|USGSDEM|UUE|VCF|VCS|VideoFrames|VRML|VTK|WARC|WAV|Wave64|WDX|WebP|WMLF|WLNet|WMF|WXF|X3D|XBM|XHTML|XHTMLMathML|XLS|XLSX|XML|XPORT|XYZ|ZIP|ZPR + built_in_undocumented_symbols: Absolute|ActionDelay|ActionMenuBox|ActiveItem|AlgebraicRules|AlignmentMarker|AllowAdultContent|AllowedHeads|AllowIncomplete|AllowKernelInitialization|AnimatorBox|AnimatorElements|AppendCheck|Arrow3DBox|ArrowBox|Authenticate|AutoEvaluateEvents|AutoIndentSpacings|AutoMatch|AutomaticImageSize|AutoNumberFormatting|AutoQuoteCharacters|AutoScaling|AutoStyleOptions|AutoStyleWords|BackgroundTasksSettings|Backsubstitution|BeginFrontEndInteractionPacket|BezierCurve3DBox|BezierCurveBox|Black|Blue|Bounds|Box|BoxDimensions|Boxes|BoxForm|BoxID|BoxRotation|BoxRotationPoint|Bra|BraKet|Brown|BrowserCategory|BSplineCurve3DBox|BSplineCurveBox|BSplineSurface3DBox|ButtonCell|ButtonContents|ButtonStyleMenuListing|CachedValue|CacheGraphics|CardinalBSplineBasis|CellBoundingBox|CellContents|CellElementsBoundingBox|CellElementSpacings|CellEvaluationLanguage|ChangeOptions|ChannelHistoryLength|ChannelListenerWait|ChartElementData|ChartElementDataFunction|CheckboxBox|CircleBox|ClipboardNotebook|ClockwiseContourIntegral|Closed|ClosingEvent|CloudObjectInformationData|CloudObjectNameFormat|Coarse|CoefficientDomain|ColorSetterBox|ColumnBackgrounds|CompletionsListPacket|ComplexInfinity|ComponentwiseContextMenu|Compose|CompressedData|ConeBox|ConicHullRegion3DBox|ConicHullRegionBox|ConsoleMessage|ConsoleMessagePacket|ConsolePrint|ConstrainedMax|ConstrainedMin|ContentsBoundingBox|ContextMenu|Continuation|ContourIntegral|ContourSmoothing|ControlAlignment|ControllerDuration|ControllerInformationData|ConvertToBitmapPacket|ConvertToPostScript|Cookies|CopyTag|CounterBox|CounterClockwiseContourIntegral|CounterEvaluator|CounterStyle|CreatePalettePacket|CuboidBox|CurlyDoubleQuote|CurlyQuote|CurrentlySpeakingPacket|Cyan|CylinderBox|Dashed|DataCompression|DateDelimiters|Debug|DebugTag|DeclareKnownSymbols|DefaultControlPlacement|DefaultFont|DefaultFormatTypeForStyle|DefaultInputFormatType|DefaultOutputFormatType|DefaultStyle|DefaultTextFormatType|DefaultTextInlineFormatType|DefaultValue|DefineExternal|DefineResourceFunction|DegreeLexicographic|DegreeReverseLexicographic|DeleteWithContents|DelimitedArray|DestroyAfterEvaluation|DeviceOpenQ|DialogIndent|DialogLevel|DifferenceOrder|DigitBlockMinimum|DisableConsolePrintPacket|DiskBox|DispatchQ|DisplayFlushImagePacket|DisplayRules|DisplaySetSizePacket|DisplayTemporary|DisplayWith|DisplayWithRef|DisplayWithVariable|DistributionDomain|Divergence|DocumentGeneratorInformationData|DotDashed|Dotted|DoubleContourIntegral|Down|DrawEdges|DrawFrontFaces|DrawHighlighted|DualLinearProgramming|DynamicBox|DynamicLocation|DynamicModuleBox|DynamicModuleParent|DynamicName|DynamicNamespace|DynamicReference|DynamicUpdating|DynamicWrapperBox|EdgeCapForm|EdgeColor|EdgeDashing|EdgeJoinForm|EdgeOpacity|EdgeThickness|EditButtonSettings|EliminationOrder|EmbeddingObject|EmphasizeSyntaxErrors|Empty|EnableConsolePrintPacket|EndFrontEndInteractionPacket|EngineEnvironment|Enter|ErrorBoxOptions|ErrorNorm|ErrorPacket|ErrorsDialogSettings|Evaluated|EvaluationMode|EvaluationOrder|EventEvaluator|EventHandlerTag|ExitDialog|ExpectationE|ExportPacket|ExpressionPacket|ExpressionUUID|ExternalCall|ExternalFunctionName|FactorComplete|Fail|FEDisableConsolePrintPacket|FEEnableConsolePrintPacket|FileHandler|FileInformation|FileName|FilledCurveBox|Fine|FitAll|FlashSelection|FlushPrintOutputPacket|Font|FontForm|FontName|FontOpacity|FontReencoding|FormatRules|FrameInset|Frameless|FrontEndObject|FrontEndResource|FrontEndResourceString|FrontEndValueCache|FrontEndVersion|FrontFaceColor|FrontFaceOpacity|FullOptions|GeometricTransformation3DBox|GeometricTransformationBox|GestureHandlerTag|GetBoundingBoxSizePacket|GetFileName|GetFrontEndOptionsDataPacket|GetLinebreakInformationPacket|GetMenusPacket|GetPageBreakInformationPacket|GlobalPreferences|GlobalSession|GraphElementData|Graphics3DBox|GraphicsBaseline|GraphicsBox|GraphicsColor|GraphicsComplex3DBox|GraphicsComplexBox|GraphicsContents|GraphicsData|GraphicsGridBox|GraphicsGroup3DBox|GraphicsGroupBox|GraphicsGrouping|GraphicsHighlightColor|GraphicsStyle|GraphRoot|Gray|Green|GridBoxAlignment|GridBoxBackground|GridBoxDividers|GridBoxFrame|GridBoxItemSize|GridBoxItemStyle|GridBoxSpacings|GridElementStyleOptions|GroupTogetherGrouping|GroupTogetherNestedGrouping|HeldPart|HelpBrowserLookup|HelpBrowserNotebook|Here|Hessian|HexahedronBox|HexahedronBoxOptions|HomeDirectory|HomePage|Horizontal|HorizontalScrollPosition|HyperlinkCreationSettings|HyphenationOptions|I|IconizedObject|IgnoreSpellCheck|ImageBoundingBoxes|ImageCache|ImageCacheValid|ImageCases|ImageContainsQ|ImageContents|ImageMarkers|ImageOffset|ImagePositions|ImageRangeCache|ImageSizeCache|ImageSizeRaw|IncludeDefinitions|Indent|IndentingNewlineSpacings|IndentMaxFraction|IndexCreationOptions|IndexTag|InexactNumbers|Infinity|InlineCounterAssignments|InlineCounterIncrements|InlineRules|InputFieldBox|InputGrouping|InputSettings|InsertionPointObject|Inset3DBox|InsetBox|Integral|Interlaced|InterpolationPrecision|InterpretationFunction|InterruptSettings|Into|InvisibleApplication|InvisibleTimes|ItemBox|JoinedCurveBox|KernelExecute|Ket|LabeledSlider|LambertW|LanguageOptions|LayoutInformation|LegendreType|Lexicographic|LightBlue|LightBrown|LightCyan|LightGray|LightGreen|LightMagenta|LightOrange|LightPink|LightPurple|LightRed|LightYellow|Line3DBox|LinearFilter|LineBox|LineBreak|LinebreakSemicolonWeighting|LineColor|LineOpacity|LineWrapParts|LinkConnectedQ|LinkOptions|ListPickerBoxBackground|Literal|LiteralSearch|LocalizeDefinitions|LocatorBox|LocatorCentering|LocatorPaneBox|LongEqual|LUBackSubstitution|MacintoshSystemPageSetup|Magenta|MaintainDynamicCaches|Material|MathematicaNotation|MathMLText|MaxBend|Menu|MenuAppearance|MenuEvaluator|MenuItem|MenuList|MergeDifferences|MeshRange|MessageObject|MessageOptions|MessagesNotebook|MethodOptions|Momentary|MonomialOrder|MouseAppearanceTag|MousePointerNote|MultiLetterItalics|MultiLetterStyle|NamespaceBox|NamespaceBoxOptions|NeedCurrentFrontEndPackagePacket|NeedCurrentFrontEndSymbolsPacket|NestedScriptRules|NewPrimitiveStyle|Next|NormalGrouping|NotebookCreateReturnObject|NotebookDefault|NotebookFindReturnObject|NotebookGetLayoutInformationPacket|NotebookGetMisspellingsPacket|NotebookInformation|NotebookInterfaceObject|NotebookOpenReturnObject|NotebookPutReturnObject|NotebookResetGeneratedCells|NotebookSaveAs|NotebookSetupLayoutInformationPacket|Now|OLEData|Open|OpenerBox|OpenFunctionInspectorPacket|OpenSpecialOptions|OptionsPacket|OptionValueBox|Orange|OutputFormData|OutputGrouping|Over|OverlayBox|Package|PageHeight|PaneBox|PanelBox|PaneSelectorBox|PaperWidth|Parameter|ParentConnect|ParentList|PartialD|PasteAutoQuoteCharacters|PausedTime|PeriodicInterpolation|PermissionsGroupMemberQ|Perpendicular|Pink|Plot3Matrix|PlotRangeClipPlanesStyle|Point3DBox|PointBox|Polygon3DBox|PolygonBox|PolygonHoleScale|PolygonScale|PolynomialForm|Polynomials|PopupMenuBox|PostScript|PredictionRoot|Previous|PrimaryPlaceholder|PrintForm|PrismBox|PrismBoxOptions|PrivateFrontEndOptions|ProbabilityPr|ProcessStateDomain|ProcessTimeDomain|ProgressIndicatorBox|Purple|PyramidBox|PyramidBoxOptions|RadioButtonBox|RandomSeed|RangeSpecification|Raster3DBox|RasterBox|RationalFunctions|RawArray|RectangleBox|RecurringDigitsForm|Red|RefBox|ReferenceMarkers|ReferenceMarkerStyle|Release|RemoveChannelSubscribers|ReplaceHeldPart|ResetMenusPacket|ResourceAcquire|ResourceFunction|ResourceSubmissionObject|ResourceSystemBase|RotationBox|RoundImplies|RowBackgrounds|RowHeights|SaveAutoDelete|ScaledMousePosition|ScheduledTaskInformationData|ScriptForm|ScriptRules|SectionGrouping|Selection|SelectionCell|SelectionCellCreateCell|SelectionCellDefaultStyle|SelectionCellParentStyle|SelectionDebuggerTag|SelectionDuplicateCell|SelectionPlaceholder|SelectionSetStyle|SelectWithContents|SelfLoops|Setbacks|SetBoxFormNamesPacket|SetEvaluationNotebook|SetFileLoadingContext|SetNotebookStatusLine|SetOptionsPacket|SetSecuredAuthenticationKey|SetSpeechParametersPacket|SetterBox|SetValue|ShowAutoConvert|ShowCodeAssist|ShowControls|ShowInvisibleCharacters|ShowPredictiveInterface|ShowSpecialCharacters|ShowSyntaxStyles|ShrinkWrapBoundingBox|SingleEvaluation|SingleLetterStyle|Slider2DBox|SliderBox|SlotSequence|SoundAndGraphics|Space|SpanningCharacters|SpeakTextPacket|SpellingSuggestionsPacket|SphereBox|Splice|StringBreak|StrokeForm|StyleHints|StyleKeyMapping|StyleNames|Subscripted|SurdForm|Syntax|SystemException|SystemInformationData|SystemTest|Tab|TableView|TableViewBox|TableViewBoxOptions|TabViewBox|TagBoxNote|TagStyle|TaskFinishResult|TemplateArgBox|TemplateEvaluate|TemplateSlotSequence|TemplateUnevaluated|TemplateVerbatim|TemporaryVariable|TensorQ|TetrahedronBox|TetrahedronBoxOptions|Text3DBox|TextBand|TextBoundingBox|TextBox|TextForm|TextLine|TextParagraph|Thick|Thin|TitleGrouping|Today|Toggle|ToggleFalse|TogglerBox|ToHeldExpression|Tomorrow|TooltipBox|TotalHeight|TraditionalNotation|TraditionalOrder|Transparent|TransparentColor|TrapSelection|TubeBezierCurveBox|TubeBox|TubeBSplineCurveBox|UntrackedVariables|Up|UpdateDynamicObjects|UpdateDynamicObjectsSynchronous|UseGraphicsRange|UserDefinedWavelet|Value|ValueBox|ValuesData|Verbose|VerboseConvertToPostScriptPacket|Version|VersionNumber|Vertical|ViewPointSelectorSettings|ViewPort|VirtualGroupData|VisibleCell|WaitUntil|White|WindowPersistentStyles|WindowSelected|WindowWidth|WolframAlphaDate|WolframAlphaQuantity|WolframAlphaResult|Yellow|Yesterday|\$ActivationGroupID|\$ActivationKey|\$AddOnsDirectory|\$AudioInputDevices|\$AudioOutputDevices|\$BaseDirectory|\$BlockchainBase|\$BoxForms|\$ByteOrdering|\$CacheBaseDirectory|\$ChannelBase|\$CharacterEncoding|\$CharacterEncodings|\$CloudBase|\$CloudCreditsAvailable|\$CloudExpressionBase|\$CloudObjectNameFormat|\$CloudRootDirectory|\$CloudSymbolBase|\$CloudUserID|\$CloudUserUUID|\$CloudVersion|\$CloudVersionNumber|\$CloudWolframEngineVersionNumber|\$CommandLine|\$CompilationTarget|\$ConfiguredKernels|\$Context|\$ContextPath|\$Cookies|\$CreationDate|\$DateStringFormat|\$DefaultAudioInputDevice|\$DefaultAudioOutputDevice|\$DefaultFont|\$DefaultFrontEnd|\$DefaultImagingDevice|\$DefaultLocalBase|\$DefaultMailbox|\$DefaultNetworkInterface|\$DefaultPath|\$Display|\$DistributedContexts|\$Echo|\$EmbedCodeEnvironments|\$EmbeddableServices|\$EntityStores|\$EvaluationEnvironment|\$ExportFormats|\$FinancialDataSource|\$FontFamilies|\$FrontEnd|\$GeoEntityTypes|\$GeoLocation|\$GeoLocationCity|\$GeoLocationCountry|\$GeoLocationPrecision|\$GeoLocationSource|\$HistoryLength|\$HomeDirectory|\$HTMLExportRules|\$HTTPCookies|\$ImagingDevice|\$ImagingDevices|\$ImportFormats|\$IncomingMailSettings|\$InitialDirectory|\$Initialization|\$InitializationContexts|\$Input|\$InputFileName|\$InputStreamMethods|\$Inspector|\$InstallationDirectory|\$InterfaceEnvironment|\$InterpreterTypes|\$IterationLimit|\$KernelCount|\$KernelID|\$Language|\$LaunchDirectory|\$LibraryPath|\$LicenseExpirationDate|\$LicenseID|\$LicenseProcesses|\$LicenseServer|\$LicenseSubprocesses|\$LicenseType|\$Line|\$LoadedFiles|\$LocalBase|\$LocalSymbolBase|\$MachineAddresses|\$MachineDomain|\$MachineDomains|\$MachineEpsilon|\$MachineID|\$MachineName|\$MachinePrecision|\$MachineType|\$MaxExtraPrecision|\$MaxLicenseProcesses|\$MaxLicenseSubprocesses|\$MaxMachineNumber|\$MaxNumber|\$MaxPiecewiseCases|\$MaxPrecision|\$MaxRootDegree|\$MessageGroups|\$MessageList|\$Messages|\$MinMachineNumber|\$MinNumber|\$MinorReleaseNumber|\$MinPrecision|\$ModuleNumber|\$NetworkInterfaces|\$Off|\$OperatingSystem|\$Output|\$OutputForms|\$OutputSizeLimit|\$OutputStreamMethods|\$Packages|\$ParentLink|\$ParentProcessID|\$PasswordFile|\$PatchLevelID|\$Path|\$PathnameSeparator|\$PerformanceGoal|\$Permissions|\$PermissionsGroupBase|\$PersistenceBase|\$PersistencePath|\$PreferencesDirectory|\$PreInitialization|\$PrintForms|\$ProcessID|\$ProcessorCount|\$ProcessorType|\$ProductInformation|\$ProgramName|\$RandomState|\$RecursionLimit|\$RegisteredDeviceClasses|\$RegisteredUserName|\$ReleaseNumber|\$RequesterWolframID|\$RequesterWolframUUID|\$ResourceSystemBase|\$RootDirectory|\$ScriptCommandLine|\$SecuredAuthenticationKeyTokens|\$ServiceCreditsAvailable|\$Services|\$SessionID|\$SetParentLink|\$SharedFunctions|\$SharedVariables|\$SoundDisplay|\$SummaryBoxDataSizeLimit|\$SuppressInputFormHeads|\$System|\$SystemCharacterEncoding|\$SystemID|\$SystemMemory|\$SystemShell|\$SystemTimeZone|\$SystemWordLength|\$TemplatePath|\$TemporaryDirectory|\$TemporaryPrefix|\$TextStyle|\$TimeUnit|\$TimeZone|\$TimeZoneEntity|\$TopDirectory|\$UnitSystem|\$Urgent|\$UserAddOnsDirectory|\$UserBaseDirectory|\$UserDocumentsDirectory|\$UserName|\$UserURLBase|\$Version|\$VersionNumber|\$VoiceStyles|\$WolframID|\$WolframUUID + built_in_functions: 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Graphics|BoundaryDiscretizeRegion|BoundaryMesh|BoundaryMeshRegion|BoundaryMeshRegionQ|BoundedRegionQ|BoundingRegion|BoxData|BoxMatrix|BoxObject|BoxWhiskerChart|BracketingBar|BrayCurtisDistance|BreadthFirstScan|Break|BridgeData|BrightnessEqualize|BroadcastStationData|BrownForsytheTest|BrownianBridgeProcess|BSplineBasis|BSplineCurve|BSplineCurve3DBoxOptions|BSplineCurveBoxOptions|BSplineFunction|BSplineSurface|BSplineSurface3DBoxOptions|BubbleChart|BubbleChart3D|BuildingData|BulletGauge|BusinessDayQ|ButterflyGraph|ButterworthFilterModel|Button|ButtonBar|ButtonBox|ButtonNotebook|ByteArray|ByteArrayQ|ByteArrayToString|ByteCount|C|CalendarConvert|CalendarData|Callout|CallPacket|CanberraDistance|Cancel|CancelButton|CandlestickChart|CanonicalGraph|CanonicalName|CanonicalWarpingCorrespondence|CanonicalWarpingDistance|CantorMesh|CantorStaircase|Cap|CapForm|CapitalDifferentialD|Capitalize|CapsuleShape|CarlemanLinearize|CarmichaelLambda|Cases|CaseSensitive|Cashflow|Casoratian|CatalanNumber|Catch|Catenate|CatenateLayer|CauchyDistribution|CauchyWindow|CayleyGraph|CDF|CDFDeploy|CDFInformation|CDFWavelet|Ceiling|Cell|CellGroup|CellGroupData|CellObject|CellPrint|Cells|CellularAutomaton|CensoredDistribution|Censoring|CenterArray|CenterDot|CentralFeature|CentralMoment|CentralMomentGeneratingFunction|Cepstrogram|CepstrogramArray|CepstrumArray|CForm|ChampernowneNumber|ChannelListen|ChannelListener|ChannelListeners|ChannelObject|ChannelReceiverFunction|ChannelSend|ChannelSubscribers|ChanVeseBinarize|CharacterCounts|CharacteristicFunction|CharacteristicPolynomial|CharacterName|CharacterRange|Characters|Chebyshev1FilterModel|Chebyshev2FilterModel|ChebyshevDistance|ChebyshevT|ChebyshevU|Check|CheckAbort|CheckAll|Checkbox|CheckboxBar|CheckboxBoxOptions|ChemicalData|ChessboardDistance|ChiDistribution|ChineseRemainder|ChiSquareDistribution|ChoiceButtons|ChoiceDialog|CholeskyDecomposition|Chop|ChromaticityPlot|ChromaticityPlot3D|ChromaticPolynomial|Circle|CircleDot|CircleMinus|CirclePlus|CirclePoints|CircleTimes|CirculantGraph|CircularOrthogonalMatrixDistribution|CircularQuaternionMatrixDistribution|CircularRealMatrixDistribution|CircularSymplecticMatrixDistribution|CircularUnitaryMatrixDistribution|Circumsphere|CityData|ClassifierFunction|ClassifierInformation|ClassifierMeasurements|ClassifierMeasurementsObject|Classify|Clear|ClearAll|ClearAttributes|ClearCookies|ClearPermissions|ClearSystemCache|ClebschGordan|ClickPane|Clip|Clock|ClockGauge|Close|CloseKernels|ClosenessCentrality|Closing|CloudAccountData|CloudConnect|CloudDeploy|CloudDirectory|CloudDisconnect|CloudEvaluate|CloudExport|CloudExpression|CloudExpressions|CloudFunction|CloudGet|CloudImport|CloudLoggingData|CloudObject|CloudObjects|CloudPublish|CloudPut|CloudSave|CloudShare|CloudSubmit|CloudSymbol|CloudUnshare|ClusterClassify|ClusteringComponents|ClusteringTree|CMYKColor|Coefficient|CoefficientArrays|CoefficientList|CoefficientRules|CoifletWavelet|Collect|Colon|ColonForm|ColorBalance|ColorCombine|ColorConvert|ColorData|ColorDataFunction|ColorDistance|Colorize|ColorNegate|ColorProfileData|ColorQ|ColorQuantize|ColorReplace|ColorSeparate|ColorSetter|ColorSetterBoxOptions|ColorSlider|ColorToneMapping|Column|ColumnForm|CometData|Commonest|CommonestFilter|CommonName|CommonUnits|CommunityGraphPlot|CompanyData|CompatibleUnitQ|Compile|CompiledFunction|Complement|CompleteGraph|CompleteGraphQ|CompleteKaryTree|ComplexExpand|ComponentMeasurements|ComposeList|ComposeSeries|CompositeQ|Composition|CompoundElement|CompoundExpression|CompoundPoissonDistribution|CompoundPoissonProcess|CompoundRenewalProcess|Compress|Condition|ConditionalExpression|Conditioned|Cone|ConformAudio|ConformImages|Congruent|ConicHullRegion|Conjugate|ConjugateTranspose|Conjunction|ConnectedComponents|ConnectedGraphComponents|ConnectedGraphQ|ConnectedMeshComponents|ConnectLibraryCallbackFunction|ConnectSystemModelComponents|ConnesWindow|ConoverTest|ConstantArray|ConstantArrayLayer|ConstantImage|ConstantPlusLayer|ConstantRegionQ|ConstantTimesLayer|ConstellationData|Construct|Containing|ContainsAll|ContainsAny|ContainsExactly|ContainsNone|ContainsOnly|ContentObject|Context|Contexts|ContextToFileName|Continue|ContinuedFraction|ContinuedFractionK|ContinuousMarkovProcess|ContinuousTask|ContinuousTimeModelQ|ContinuousWaveletData|ContinuousWaveletTransform|ContourDetect|ContourGraphics|ContourPlot|ContourPlot3D|ContraharmonicMean|ContrastiveLossLayer|Control|ControlActive|ControllabilityGramian|ControllabilityMatrix|ControllableDecomposition|ControllableModelQ|ControllerInformation|ControllerManipulate|ControllerState|Convergents|ConvexHullMesh|ConvolutionLayer|Convolve|ConwayGroupCo1|ConwayGroupCo2|ConwayGroupCo3|CoordinateBoundingBox|CoordinateBoundingBoxArray|CoordinateBounds|CoordinateBoundsArray|CoordinateChartData|CoordinateTransform|CoordinateTransformData|CoprimeQ|Coproduct|CopulaDistribution|CopyDatabin|CopyDirectory|CopyFile|CopyToClipboard|CornerFilter|Correlation|CorrelationDistance|CorrelationFunction|Correlati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|RegularExpression|RegularlySampledQ|RegularPolygon|ReIm|Reinstall|RelationGraph|ReleaseHold|ReliabilityDistribution|ReliefImage|ReliefPlot|RemoteConnect|RemoteConnectionObject|RemoteRun|RemoteRunProcess|Remove|RemoveAlphaChannel|RemoveAsynchronousTask|RemoveAudioStream|RemoveBackground|RemoveChannelListener|Removed|RemoveDiacritics|RemoveInputStreamMethod|RemoveOutputStreamMethod|RemoveProperty|RemoveScheduledTask|RemoveUsers|RenameDirectory|RenameFile|RenewalProcess|RenkoChart|RepairMesh|Repeated|RepeatedNull|RepeatedTiming|RepeatingElement|Replace|ReplaceAll|ReplaceImageValue|ReplaceList|ReplacePart|ReplacePixelValue|ReplaceRepeated|ReplicateLayer|ResamplingAlgorithmData|Rescale|RescalingTransform|ResetDirectory|ResetScheduledTask|ReshapeLayer|Residue|ResizeLayer|Resolve|ResourceData|ResourceObject|ResourceRegister|ResourceRemove|ResourceSearch|ResourceSubmit|ResourceUpdate|ResponseForm|Rest|Restricted|Resultant|ResumePacket|Return|ReturnExpressionPacket|ReturnPacket|ReturnTextPacket|Reverse|ReverseBiorthogonalSplineWavelet|ReverseElement|ReverseEquilibrium|ReverseGraph|ReverseSort|ReverseUpEquilibrium|RevolutionPlot3D|RGBColor|RiccatiSolve|RiceDistribution|RidgeFilter|RiemannR|RiemannSiegelTheta|RiemannSiegelZ|RiemannXi|Riffle|RightArrow|RightArrowBar|RightArrowLeftArrow|RightComposition|RightCosetRepresentative|RightDownTeeVector|RightDownVector|RightDownVectorBar|RightTee|RightTeeArrow|RightTeeVector|RightTriangle|RightTriangleBar|RightTriangleEqual|RightUpDownVector|RightUpTeeVector|RightUpVector|RightUpVectorBar|RightVector|RightVectorBar|RiskAchievementImportance|RiskReductionImportance|RogersTanimotoDissimilarity|RollPitchYawAngles|RollPitchYawMatrix|RomanNumeral|Root|RootApproximant|RootIntervals|RootLocusPlot|RootMeanSquare|RootOfUnityQ|RootReduce|Roots|RootSum|Rotate|RotateLeft|RotateRight|RotationBoxOptions|RotationMatrix|RotationTransform|Round|Row|RowBox|RowReduce|RSolve|RSolveValue|RudinShapiro|RudvalisGroupRu|Rule|RuleDelayed|RulePlot|Run|RunScheduledTask|RunThrough|RussellRaoDissimilarity|SameQ|SampledSoundFunction|SampledSoundList|SARIMAProcess|SARMAProcess|SASTriangle|SatelliteData|SatisfiabilityCount|SatisfiabilityInstances|SatisfiableQ|Save|SavitzkyGolayMatrix|SawtoothWave|Scale|Scaled|ScalingMatrix|ScalingTransform|Scan|ScheduledTask|ScheduledTaskActiveQ|ScheduledTaskObject|ScheduledTasks|SchurDecomposition|ScientificForm|ScorerGi|ScorerGiPrime|ScorerHi|ScorerHiPrime|SearchAdjustment|SearchIndexObject|SearchIndices|SearchQueryString|SearchResultObject|Sec|Sech|SechDistribution|SectorChart|SectorChart3D|SecuredAuthenticationKey|SecuredAuthenticationKeys|SeedRandom|Select|SelectComponents|SelectedCells|SelectedNotebook|SelectFirst|SelectionAnimate|SelectionCreateCell|SelectionEvaluate|SelectionEvaluateCreateCell|SelectionMove|SemanticImport|SemanticImportString|SemanticInterpretation|SemialgebraicComponentInstances|SendMail|SendMessage|Sequence|SequenceAlignment|SequenceAttentionLayer|SequenceCases|SequenceCount|SequenceFold|SequenceFoldList|SequenceForm|SequenceLastLayer|SequenceMostLayer|SequencePosition|SequencePredict|SequencePredictorFunction|SequenceReplace|SequenceRestLayer|SequenceReverseLayer|SequenceSplit|Series|SeriesCoefficient|SeriesData|ServiceConnect|ServiceDisconnect|ServiceExecute|ServiceObject|SessionSubmit|SessionTime|Set|SetAccuracy|SetAlphaChannel|SetAttributes|SetCloudDirectory|SetCookies|SetDelayed|SetDirectory|SetEnvironment|SetFileDate|SetOptions|SetPermissions|SetPrecision|SetProperty|SetSelectedNotebook|SetSharedFunction|SetSharedVariable|SetStreamPosition|SetSystemModel|SetSystemOptions|Setter|SetterBar|SetterBoxOptions|Setting|SetUsers|Shallow|ShannonWavelet|ShapiroWilkTest|Share|Sharpen|ShearingMatrix|ShearingTransform|ShellRegion|ShenCastanMatrix|ShiftedGompertzDistribution|ShiftRegisterSequence|Short|ShortDownArrow|Shortest|ShortestMatch|ShortestPathFunction|ShortLeftArrow|ShortRightArrow|ShortUpArrow|Show|SiderealTime|SiegelTheta|SiegelTukeyTest|SierpinskiCurve|SierpinskiMesh|Sign|Signature|SignedRankTest|SignedRegionDistance|SignTest|SimpleGraph|SimpleGraphQ|Simplex|Simplify|Sin|Sinc|SinghMaddalaDistribution|SingularValueDecomposition|SingularValueList|SingularValuePlot|SingularValues|Sinh|SinhIntegral|SinIntegral|SixJSymbol|Skeleton|SkeletonTransform|SkellamDistribution|Skewness|SkewNormalDistribution|Skip|SliceContourPlot3D|SliceDensityPlot3D|SliceDistribution|SliceVectorPlot3D|Slider|Slider2D|Slider2DBoxOptions|SliderBoxOptions|SlideView|SmallCircle|SmithDecomposition|SmithDelayCompensator|SmithWatermanSimilarity|SmoothDensityHistogram|SmoothHistogram|SmoothHistogram3D|SmoothKernelDistribution|SnDispersion|Snippet|SocialMediaData|SocketConnect|SocketListen|SocketListener|SocketObject|SocketOpen|SocketReadMessage|SocketReadyQ|Sockets|SocketWaitAll|SocketWaitNext|SoftmaxLayer|SokalSneathDissimilarity|SolarEclipse|SolarSystemFeatureData|SolidData|SolidRegionQ|Solve|SolveAlways|Sort|SortBy|Sound|SoundNote|Sow|SpaceCurveData|SpaceForm|Spacer|Span|SparseArray|SpatialGraphDistribution|SpatialMedian|SpatialTransformationLayer|Speak|SpearmanRankTest|SpearmanRho|SpeciesData|SpectralLineData|Spectrogram|SpectrogramArray|Specularity|SpeechSynthesize|SpellingCorrectionList|Sphere|SpherePoints|SphericalBesselJ|SphericalBesselY|SphericalHankelH1|SphericalHankelH2|SphericalHarmonicY|SphericalPlot3D|SphericalShell|SpheroidalEigenvalue|SpheroidalJoiningFactor|SpheroidalPS|SpheroidalPSPrime|SpheroidalQS|SpheroidalQSPrime|SpheroidalRadialFactor|SpheroidalS1|SpheroidalS1Prime|SpheroidalS2|SpheroidalS2Prime|SplicedDistribution|Split|SplitBy|SpokenString|Sqrt|SqrtBox|Square|SquaredEuclideanDistance|SquareFreeQ|SquareIntersection|SquareMatrixQ|SquareRepeatingElement|SquaresR|SquareSubset|SquareSubsetEqual|SquareSuperset|SquareSupersetEqual|SquareUnion|SquareWave|SSSTriangle|StableDistribution|Stack|StackBegin|StackComplete|StackedDateListPlot|StackedListPlot|StackInhibit|StadiumShape|StandardAtmosphereData|StandardDeviation|StandardDeviationFilter|StandardForm|Standardize|StandardOceanData|StandbyDistribution|Star|StarClusterData|StarData|StarGraph|StartAsynchronousTask|StartExternalSession|StartScheduledTask|StateFeedbackGains|StateOutputEstimator|StateResponse|StateSpaceModel|StateSpaceTransform|StateTransformationLinearize|StationaryDistribution|StationaryWaveletPacketTransform|StationaryWaveletTransform|StatusArea|StatusCentrality|StieltjesGamma|StirlingS1|StirlingS2|StopAsynchronousTask|StoppingPowerData|StopScheduledTask|StratonovichProcess|StreamDensityPlot|StreamPlot|StreamPosition|Streams|StringByteCount|StringCases|StringContainsQ|StringCount|StringDelete|StringDrop|StringEndsQ|StringExpression|StringExtract|StringForm|StringFormat|StringFreeQ|StringInsert|StringJoin|StringLength|StringMatchQ|StringPadLeft|StringPadRight|StringPart|StringPartition|StringPosition|StringQ|StringRepeat|StringReplace|StringReplaceList|StringReplacePart|StringReverse|StringRiffle|StringRotateLeft|StringRotateRight|StringSkeleton|StringSplit|StringStartsQ|StringTake|StringTemplate|StringToByteArray|StringToStream|StringTrim|StripBoxes|StructuralImportance|StructuredArray|StruveH|StruveL|StudentTDistribution|Style|StyleBox|StyleData|StyleForm|StylePrint|Subdivide|Subfactorial|Subgraph|SubMinus|SubPlus|SubresultantPolynomialRemainders|SubresultantPolynomials|Subresultants|Subscript|SubscriptBox|Subsequences|Subset|SubsetEqual|SubsetQ|Subsets|SubStar|SubstitutionSystem|Subsuperscript|SubsuperscriptBox|Subtract|SubtractFrom|SubtractSides|SubValues|Succeeds|SucceedsEqual|SucceedsSlantEqual|SucceedsTilde|Success|SuchThat|Sum|SumConvergence|SummationLayer|SunPosition|Sunrise|Sunset|SuperDagger|SuperMinus|SupernovaData|SuperPlus|Superscript|SuperscriptBox|Superset|SupersetEqual|SuperStar|Surd|SurfaceColor|SurfaceData|SurfaceGraphics|SurvivalDistribution|SurvivalFunction|SurvivalModel|SurvivalModelFit|SuspendPacket|SuzukiDistribution|SuzukiGroupSuz|SwatchLegend|Switch|Symbol|SymbolName|SymletWavelet|Symmetric|SymmetricGroup|SymmetricKey|SymmetricMatrixQ|SymmetricPolynomial|SymmetricReduction|Symmetrize|SymmetrizedArray|SymmetrizedArrayRules|SymmetrizedDependentComponents|SymmetrizedIndependentComponents|SymmetrizedReplacePart|SyntaxInformation|SyntaxLength|SyntaxPacket|SyntaxQ|SystemDialogInput|SystemGet|SystemInformation|SystemInstall|SystemModel|SystemModeler|SystemModelExamples|SystemModelLinearize|SystemModelParametricSimulate|SystemModelPlot|SystemModelReliability|SystemModels|SystemModelSimulate|SystemModelSimulateSensitivity|SystemModelSimulationData|SystemOpen|SystemOptions|SystemsModelDelay|SystemsModelDelayApproximate|SystemsModelDelete|SystemsModelDimensions|SystemsModelExtract|SystemsModelFeedbackConnect|SystemsModelLinearity|SystemsModelMerge|SystemsModelOrder|SystemsModelParallelConnect|SystemsModelSeriesConnect|SystemsModelStateFeedbackConnect|SystemsModelVectorRelativeOrders|SystemStub|Table|TableForm|TabView|TabViewBoxOptions|TagBox|TagSet|TagSetDelayed|TagUnset|Take|TakeDrop|TakeLargest|TakeLargestBy|TakeList|TakeSmallest|TakeSmallestBy|TakeWhile|Tally|Tan|Tanh|TaskAbort|TaskExecute|TaskObject|TaskRemove|TaskResume|Tasks|TaskSuspend|TaskWait|TautologyQ|TelegraphProcess|TemplateApply|TemplateBox|TemplateExpression|TemplateIf|TemplateObject|TemplateSequence|TemplateSlot|TemplateWith|TemporalData|TensorContract|TensorDimensions|TensorExpand|TensorProduct|TensorRank|TensorReduce|TensorSymmetry|TensorTranspose|TensorWedge|TestReport|TestReportObject|TestResultObject|Tetrahedron|TeXForm|TeXSave|Text|Text3DBoxOptions|TextCases|TextCell|TextData|TextElement|TextGrid|TextPacket|TextPosition|TextRecognize|TextSearch|TextSearchReport|TextSentences|TextString|TextStructure|TextTranslation|Texture|TextWords|Therefore|ThermodynamicData|ThermometerGauge|Thickness|Thinning|ThompsonGroupTh|Thread|ThreadingLayer|ThreeJSymbol|Threshold|Through|Throw|ThueMorse|Thumbnail|TideData|Tilde|TildeEqual|TildeFullEqual|TildeTilde|TimeConstrained|TimelinePlot|TimeObject|TimeObjectQ|Times|TimesBy|TimeSeries|TimeSeriesAggregate|TimeSeriesForecast|TimeSeriesInsert|TimeSeriesInvertibility|TimeSeriesMap|TimeSeriesMapThread|TimeSeriesModel|TimeSeriesModelFit|TimeSeriesResample|TimeSeriesRescale|TimeSeriesShift|TimeSeriesThread|TimeSeriesWindow|TimeUsed|TimeValue|TimeWarpingCorrespondence|TimeWarpingDistance|TimeZoneConvert|TimeZoneOffset|Timing|TitsGroupT|ToBoxes|ToCharacterCode|ToColor|ToContinuousTimeModel|ToDate|ToDiscreteTimeModel|ToEntity|ToeplitzMatrix|ToExpression|ToFileName|Together|Toggler|TogglerBar|TogglerBoxOptions|ToInvertibleTimeSeries|ToLowerCase|ToNumberField|Tooltip|TooltipBoxOptions|TopHatTransform|ToPolarCoordinates|TopologicalSort|ToRadicals|ToRules|ToSphericalCoordinates|ToString|Total|TotalLayer|TotalVariationFilter|TouchPosition|ToUpperCase|Tr|Trace|TraceDialog|TraceLevel|TracePrint|TraceScan|TracyWidomDistribution|TradingChart|TraditionalForm|TransferFunctionCancel|TransferFunctionExpand|TransferFunctionFactor|TransferFunctionModel|TransferFunctionPoles|TransferFunctionTransform|TransferFunctionZeros|TransformationFunction|TransformationMatrix|TransformedDistribution|TransformedField|TransformedProcess|TransformedRegion|TransitiveClosureGraph|TransitiveReductionGraph|Translate|TranslationOptions|TranslationTransform|Transliterate|Transpose|TransposeLayer|TravelDirections|TravelDirectionsData|TravelDistance|TravelDistanceList|TravelTime|TreeForm|TreeGraph|TreeGraphQ|TreePlot|Triangle|TriangleWave|TriangularDistribution|TriangulateMesh|TrigExpand|TrigFactor|TrigFactorList|Trigger|TrigReduce|TrigToExp|TrimmedMean|TrimmedVariance|TropicalStormData|TrueQ|TruncatedDistribution|TsallisQExponentialDistribution|TsallisQGaussianDistribution|TTest|Tube|TubeBezierCurveBoxOptions|TubeBoxOptions|TubeBSplineCurveBoxOptions|TukeyLambdaDistribution|TukeyWindow|TunnelData|Tuples|TuranGraph|TuringMachine|TuttePolynomial|TwoWayRule|UnateQ|Uncompress|UnderBar|Underflow|Underoverscript|UnderoverscriptBox|Underscript|UnderscriptBox|UnderseaFeatureData|UndirectedEdge|UndirectedGraph|UndirectedGraphQ|Unequal|UnequalTo|Unevaluated|UniformDistribution|UniformGraphDistribution|UniformSumDistribution|Uninstall|Union|UnionPlus|Unique|UnitaryMatrixQ|UnitBox|UnitConvert|UnitDimensions|Unitize|UnitRootTest|UnitSimplify|UnitStep|UnitTriangle|UnitVector|UnitVectorLayer|UniverseModelData|UniversityData|UnixTime|Unprotect|UnregisterExternalEvaluator|UnsameQ|Unset|UnsetShared|UpArrow|UpArrowBar|UpArrowDownArrow|Update|UpdateSearchIndex|UpDownArrow|UpEquilibrium|UpperCaseQ|UpperLeftArrow|UpperRightArrow|UpperTriangularize|Upsample|UpSet|UpSetDelayed|UpTee|UpTeeArrow|UpTo|UpValues|URL|URLBuild|URLDecode|URLDispatcher|URLDownload|URLDownloadSubmit|URLEncode|URLExecute|URLExpand|URLParse|URLQueryDecode|URLQueryEncode|URLRead|URLResponseTime|URLShorten|URLSubmit|UsingFrontEnd|V2Get|ValueBoxOptions|ValueQ|Values|Variables|Variance|VarianceEquivalenceTest|VarianceGammaDistribution|VarianceTest|VectorAngle|VectorDensityPlot|VectorPlot|VectorPlot3D|VectorQ|Vectors|Vee|Verbatim|VerificationTest|VertexAdd|VertexComponent|VertexConnectivity|VertexContract|VertexCorrelationSimilarity|VertexCosineSimilarity|VertexCount|VertexCoverQ|VertexDegree|VertexDelete|VertexDiceSimilarity|VertexEccentricity|VertexInComponent|VertexInDegree|VertexIndex|VertexJaccardSimilarity|VertexList|VertexOutComponent|VertexOutDegree|VertexQ|VertexReplace|VerticalBar|VerticalGauge|VerticalSeparator|VerticalSlider|VerticalTilde|VoigtDistribution|VolcanoData|Volume|VonMisesDistribution|VoronoiMesh|WaitAll|WaitAsynchronousTask|WaitNext|WakebyDistribution|WalleniusHypergeometricDistribution|WaringYuleDistribution|WarpingCorrespondence|WarpingDistance|WatershedComponents|WatsonUSquareTest|WattsStrogatzGraphDistribution|WaveletBestBasis|WaveletFilterCoefficients|WaveletImagePlot|WaveletListPlot|WaveletMapIndexed|WaveletMatrixPlot|WaveletPhi|WaveletPsi|WaveletScalogram|WaveletThreshold|WeaklyConnectedComponents|WeaklyConnectedGraphComponents|WeaklyConnectedGraphQ|WeakStationarity|WeatherData|WeatherForecastData|WeberE|WebImageSearch|WebSearch|Wedge|WeibullDistribution|WeierstrassE1|WeierstrassE2|WeierstrassE3|WeierstrassEta1|WeierstrassEta2|WeierstrassEta3|WeierstrassHalfPeriods|WeierstrassHalfPeriodW1|WeierstrassHalfPeriodW2|WeierstrassHalfPeriodW3|WeierstrassInvariantG2|WeierstrassInvariantG3|WeierstrassInvariants|WeierstrassP|WeierstrassPPrime|WeierstrassSigma|WeierstrassZeta|WeightedAdjacencyGraph|WeightedAdjacencyMatrix|WeightedData|WeightedGraphQ|WelchWindow|WheelGraph|WhenEvent|Which|While|WhiteNoiseProcess|WhittakerM|WhittakerW|WienerFilter|WienerProcess|WignerD|WignerSemicircleDistribution|WikipediaData|WikipediaSearch|WilksW|WilksWTest|WindDirectionData|WindSpeedData|WindVectorData|WinsorizedMean|WinsorizedVariance|WishartMatrixDistribution|With|WolframAlpha|WolframLanguageData|WordCloud|WordCount|WordCounts|WordData|WordDefinition|WordFrequency|WordFrequencyData|WordList|WordStem|WordTranslation|Write|WriteString|Wronskian|XMLElement|XMLObject|XMLTemplate|Xnor|Xor|XYZColor|YuleDissimilarity|ZernikeR|ZeroSymmetric|Zeta|ZetaZero|ZIPCodeData|ZipfDistribution|ZTest|ZTransform|\$DisplayFunction|\$FormatType|\$SoundDisplayFunction + built_in_constants: Above|After|AlgebraicRulesData|Algebraics|All|Anonymous|Automatic|Axis|Back|Backward|Baseline|BayesianMinimization|Before|Below|Blank|BlankForm|BlankNullSequence|BlankSequence|Bold|Booleans|Bottom|Byte|Catalan|CellStyle|Center|Character|CloudObjectInformation|Complex|Complexes|Connect|Constant|ConvertToPostScriptPacket|DavisDistribution|Decimal|DefaultAxesStyle|DefaultBaseStyle|DefaultBoxStyle|DefaultFaceGridsStyle|DefaultFieldHintStyle|DefaultFrameStyle|DefaultFrameTicksStyle|DefaultGridLinesStyle|DefaultLabelStyle|DefaultMenuStyle|DefaultTicksStyle|DefaultTooltipStyle|Degree|Delimiter|DigitCharacter|DimensionReduce|DocumentGeneratorInformation|DocumentGenerators|DragAndDrop|E|EndOfBuffer|EndOfFile|EndOfLine|EndOfString|EulerGamma|Expression|False|Flat|FontProperties|Forward|ForwardBackward|Friday|Front|FrontEndDynamicExpression|Full|General|Generic|Glaisher|GoldenAngle|GoldenRatio|HexadecimalCharacter|HoldAll|HoldAllComplete|HoldFirst|HoldRest|HorizontalForm|Indeterminate|Inequality|Inherited|InputToBoxFormPacket|InstallService|Integer|Integers|InterpretTemplate|Italic|K|Khinchin|KillProcess|Large|Larger|Launch|Left|LetterCharacter|LinkOpen|LinkService|Listable|Listen|Locked|LongestMatch|Loopback|MachinePrecision|Manual|MatchLocalNameQ|Medium|MeshCellCentroid|MeshCellMeasure|MeshCellQuality|Modular|Monday|NHoldAll|NHoldFirst|NHoldRest|NonAssociative|None|Nothing|NoWhitespace|Null|Number|NumberString|NumericFunction|OneIdentity|Orderless|OutputMathEditExpression|ParentForm|Pi|Plain|Primes|ProcessConnection|Processes|ProcessInformation|ProcessObject|ProcessStatus|Protected|PunctuationCharacter|Rational|Rationals|RawMedium|ReadLine|ReadProtected|ReadString|Real|Reals|Record|RepeatedString|ReturnInputFormPacket|Right|RuleCondition|RuleForm|RunProcess|Saturday|ScheduledTaskInformation|SequenceHold|Slot|Small|Smaller|Socket|SpanFromAbove|SpanFromBoth|SpanFromLeft|StartOfLine|StartOfString|StartProcess|String|Stub|Sunday|SystemProcessData|SystemProcesses|Temporary|ThisLink|Thursday|Tiny|TooBig|Top|True|Tuesday|Undefined|Underlined|URLFetch|URLFetchAsynchronous|URLSave|URLSaveAsynchronous|ValueForm|VectorGlyphData|VerticalForm|Wednesday|Whitespace|WhitespaceCharacter|Word|WordBoundary|WordCharacter|WriteLine|\$Aborted|\$ActivationUserRegistered|\$AllowExternalChannelFunctions|\$AssertFunction|\$Assumptions|\$AsynchronousTask|\$BatchInput|\$BatchOutput|\$Canceled|\$CloudConnected|\$CloudEvaluation|\$ConditionHold|\$ControlActiveSetting|\$CookieStore|\$CurrentLink|\$CurrentTask|\$DynamicEvaluation|\$Epilog|\$EvaluationCloudBase|\$EvaluationCloudObject|\$Failed|\$FrontEndSession|\$HTTPRequest|\$IgnoreEOF|\$ImageFormattingWidth|\$InstallationDate|\$Linked|\$LinkSupported|\$MessagePrePrint|\$MobilePhone|\$NetworkConnected|\$NetworkLicense|\$NewMessage|\$NewSymbol|\$Notebooks|\$NoValue|\$NumberMarks|\$PipeSupported|\$PlotTheme|\$Post|\$Pre|\$PrePrint|\$PreRead|\$PrintLiteral|\$Printout3DPreviewer|\$PublisherID|\$RequesterAddress|\$ScheduledTask|\$ScriptInputString|\$SourceLink|\$SynchronousEvaluation|\$SyntaxHandler|\$TimedOut|\$TraceOff|\$TraceOn|\$TracePattern|\$TracePostAction|\$TracePreAction|\$UserAgentLanguages|\$UserAgentMachine|\$UserAgentName|\$UserAgentOperatingSystem|\$UserAgentString|\$UserAgentVersion + built_in_options: AccuracyGoal|Active|ActiveStyle|AddOnHelpPath|AdjustmentBoxOptions|Alignment|AlignmentPoint|AllowedCloudExtraParameters|AllowedCloudParameterExtensions|AllowedDimensions|AllowGroupClose|AllowInlineCells|AllowLooseGrammar|AllowReverseGroupClose|AllowScriptLevelChange|AlternateImage|AlternativeHypothesis|AltitudeMethod|AmbientLight|AmbiguityFunction|Analytic|AnchoredSearch|AnimationCycleOffset|AnimationCycleRepetitions|AnimationDirection|AnimationDisplayTime|AnimationRate|AnimationRepetitions|AnimationRunning|AnimationRunTime|AnimationTimeIndex|Antialiasing|Appearance|AppearanceElements|AppearanceRules|AspectRatio|AspectRatioFixed|AssociationFormat|AssumeDeterministic|Assumptions|Asynchronous|AudioChannelAssignment|AudioDevice|AudioInputDevice|AudioLabel|AudioLooping|AudioOutputDevice|Authentication|AutoAction|AutoCopy|AutoDelete|AutoGeneratedPackage|AutoIndent|AutoItalicWords|AutoloadPath|AutoMultiplicationSymbol|AutoOpenNotebooks|AutoOpenPalettes|AutoRemove|AutorunSequencing|AutoScroll|AutoSpacing|Axes|AxesEdge|AxesLabel|AxesOrigin|AxesStyle|Background|BarOrigin|BarSpacing|BaselinePosition|BaseStyle|BatchSize|BinaryFormat|BlockchainBase|Bookmarks|BooleanStrings|BoundaryStyle|BoxBaselineShift|Boxed|BoxFormFormatTypes|BoxFrame|BoxMargins|BoxRatios|BoxStyle|BubbleScale|BubbleSizes|ButtonBoxOptions|ButtonData|ButtonEvaluator|ButtonExpandable|ButtonFrame|ButtonFunction|ButtonMargins|ButtonMinHeight|ButtonNote|ButtonSource|ButtonStyle|ByteOrdering|CachePersistence|CalendarType|CalloutMarker|CalloutStyle|CaptureRunning|CaseOrdering|CelestialSystem|CellAutoOverwrite|CellBaseline|CellBracketOptions|CellChangeTimes|CellContext|CellDingbat|CellDynamicExpression|CellEditDuplicate|CellEpilog|CellEvaluationDuplicate|CellEvaluationFunction|CellEventActions|CellFrame|CellFrameColor|CellFrameLabelMargins|CellFrameLabels|CellFrameMargins|CellGrouping|CellGroupingRules|CellHorizontalScrolling|CellID|CellLabel|CellLabelAutoDelete|CellLabelMargins|CellLabelPositioning|CellLabelStyle|CellMargins|CellOpen|CellProlog|CellSize|CellTags|ChannelBase|ChannelBrokerAction|ChannelDatabin|ChannelPreSendFunction|CharacterEncoding|CharacterEncodingsPath|ChartBaseStyle|ChartElementFunction|ChartElements|ChartLabels|ChartLayout|ChartLegends|ChartStyle|ClassPriors|ClipFill|ClippingStyle|ClipPlanes|ClipPlanesStyle|ClipRange|ClosingAutoSave|CloudBase|ClusterDissimilarityFunction|CodeAssistOptions|ColorCoverage|ColorFunction|ColorFunctionScaling|ColorOutput|ColorRules|ColorSelectorSettings|ColorSpace|ColumnAlignments|ColumnLines|ColumnsEqual|ColumnSpacings|ColumnWidths|CombinerFunction|CommonDefaultFormatTypes|CommunityBoundaryStyle|CommunityLabels|CommunityRegionStyle|CompilationOptions|CompilationTarget|Compiled|ComplexityFunction|ConfidenceLevel|ConfidenceRange|ConfidenceTransform|ConfigurationPath|Constants|ContentFieldOptions|ContentLocationFunction|ContentPadding|ContentSelectable|ContentSize|ContinuousAction|ContourLabels|ContourLines|Contours|ContourShading|ContourStyle|ControllerLinking|ControllerMethod|ControllerPath|ControlPlacement|ControlsRendering|ControlType|ConversionOptions|ConversionRules|CookieFunction|CoordinatesToolOptions|Copyable|CornerNeighbors|CounterAssignments|CounterFunction|CounterIncrements|CounterStyleMenuListing|CovarianceEstimatorFunction|CreateCellID|CreateIntermediateDirectories|CriterionFunction|Cubics|CurveClosed|DampingFactor|DataRange|DataReversed|DateFormat|DateFunction|DateReduction|DateTicksFormat|DayCountConvention|DefaultColor|DefaultDuplicateCellStyle|DefaultDuration|DefaultElement|DefaultFontProperties|DefaultFormatType|DefaultInlineFormatType|DefaultNaturalLanguage|DefaultNewCellStyle|DefaultNewInlineCellStyle|DefaultNotebook|DefaultOptions|DefaultPrintPrecision|DefaultStyleDefinitions|Deinitialization|Deletable|DeleteContents|DeletionWarning|DelimiterFlashTime|DelimiterMatching|Delimiters|DeliveryFunction|DependentVariables|Deployed|DescriptorStateSpace|DiacriticalPositioning|DialogProlog|DialogSymbols|DigitBlock|DirectedEdges|Direction|DiscreteVariables|DispersionEstimatorFunction|DisplayAllSteps|DisplayFunction|DistanceFunction|DistributedContexts|Dithering|Dividers|DockedCells|DocumentWeightingRules|DOSTextFormat|DoublyInfinite|DynamicEvaluationTimeout|DynamicModuleValues|EclipseType|EdgeCapacity|EdgeCost|EdgeLabeling|EdgeLabels|EdgeLabelStyle|EdgeRenderingFunction|EdgeShapeFunction|EdgeStyle|EdgeWeight|Editable|EditCellTagsSettings|ElidedForms|Enabled|Epilog|EpilogFunction|EqualColumns|EqualRows|EquatedTo|EscapeRadius|Evaluatable|EvaluationCompletionAction|EvaluationElements|EvaluationEnvironment|EvaluationMonitor|Evaluator|EvaluatorNames|EventLabels|ExactRootIsolation|ExcludedForms|ExcludedLines|ExcludedPhysicalQuantities|ExcludePods|Exclusions|ExclusionsStyle|ExpirationDate|ExponentFunction|ExponentialFamily|ExponentPosition|ExponentStep|ExportAutoReplacements|Extension|ExtentElementFunction|ExtentMarkers|ExtentSize|ExternalDataCharacterEncoding|ExternalOptions|ExternalTypeSignature|FaceGrids|FaceGridsStyle|FailureAction|FeatureExtractor|FeatureNames|FeatureTypes|FeedbackSector|FeedbackSectorStyle|FeedbackType|FieldCompletionFunction|FieldHint|FieldHintStyle|FieldMasked|FieldSize|FileNameDialogSettings|FileNameForms|Filling|FillingStyle|FindSettings|FollowRedirects|FontColor|FontFamily|FontPostScriptName|FontSize|FontSlant|FontSubstitutions|FontTracking|FontVariations|FontWeight|FormatType|FormatTypeAutoConvert|FormBoxOptions|FormLayoutFunction|FormTheme|FourierParameters|FractionBoxOptions|FractionLine|Frame|FrameBoxOptions|FrameLabel|FrameMargins|FrameRate|FrameStyle|FrameTicks|FrameTicksStyle|FrontEndEventActions|FrontEndStackSize|FunctionSpace|GapPenalty|GaugeFaceElementFunction|GaugeFaceStyle|GaugeFrameElementFunction|GaugeFrameSize|GaugeFrameStyle|GaugeLabels|GaugeMarkers|GaugeStyle|GaussianIntegers|GenerateConditions|GeneratedCell|GeneratedDocumentBinding|GeneratedParameters|GeneratedQuantityMagnitudes|GeneratorDescription|GeneratorHistoryLength|GeneratorOutputType|GeoBackground|GeoCenter|GeoGridLines|GeoGridLinesStyle|GeoLabels|GeoLocation|GeoModel|GeoProjection|GeoRange|GeoRangePadding|GeoScaleBar|GeoServer|GeoStylingImageFunction|GeoZoomLevel|Gradient|GraphHighlight|GraphHighlightStyle|GraphicsSpacing|GraphLayout|GraphStyle|GridBaseline|GridCreationSettings|GridDefaultElement|GridFrame|GridFrameMargins|GridLines|GridLinesStyle|GroupActionBase|GroupPageBreakWithin|HandlerFunctions|HandlerFunctionsKeys|HeaderLines|Heads|HelpBrowserSettings|HiddenSurface|HolidayCalendar|Hyphenation|IconRules|IgnoreCase|IgnoreDiacritics|IgnorePunctuation|ImageCaptureFunction|ImageFormattingWidth|ImageMargins|ImagePadding|ImagePreviewFunction|ImageRegion|ImageResolution|ImageRotated|ImageSize|ImageSizeAction|ImageSizeMultipliers|ImagingDevice|ImportAutoReplacements|ImportOptions|IncludeConstantBasis|IncludeFileExtension|IncludeGeneratorTasks|IncludeInflections|IncludeMetaInformation|IncludePods|IncludeQuantities|IncludeSingularTerm|IncludeWindowTimes|IndeterminateThreshold|InflationMethod|InheritScope|InitialEvaluationHistory|Initialization|InitializationCell|InitializationCellEvaluation|InitializationCellWarning|InputAliases|InputAssumptions|InputAutoReplacements|InsertionFunction|InsertResults|Interactive|Interleaving|InterpolationOrder|InterpolationPoints|InterpretationBoxOptions|InverseFunctions|ItemAspectRatio|ItemSize|ItemStyle|Jacobian|Joined|KeyCollisionFunction|KeypointStrength|LabelingFunction|LabelingSize|LabelStyle|Language|LanguageCategory|LayerSizeFunction|LeaderSize|LearningRateMultipliers|LegendAppearance|LegendFunction|LegendLabel|LegendLayout|LegendMargins|LegendMarkers|LegendMarkerSize|LicenseID|Lighting|LightingAngle|LightSources|LimitsPositioning|LimitsPositioningTokens|LinearOffsetFunction|LinebreakAdjustments|LineBreakWithin|LineIndent|LineIndentMaxFraction|LineIntegralConvolutionScale|LineSpacing|LinkFunction|LinkHost|LinkMode|LinkProtocol|ListFormat|ListPickerBoxOptions|LocalizeVariables|LocatorAutoCreate|LocatorRegion|LongForm|LossFunction|MachineID|MachineName|Magnification|MailAddressValidation|MailResponseFunction|MailSettings|MakeRules|Masking|MatchLocalNames|MaxCellMeasure|MaxDuration|MaxExtraBandwidths|MaxExtraConditions|MaxFeatureDisplacement|MaxFeatures|MaxItems|MaxIterations|MaxMixtureKernels|MaxPlotPoints|MaxPoints|MaxRecursion|MaxStepFraction|MaxSteps|MaxStepSize|MaxTrainingRounds|MaxWordGap|MemoryConstraint|MenuCommandKey|MenuSortingValue|MenuStyle|MergingFunction|Mesh|MeshCellHighlight|MeshCellLabel|MeshCellMarker|MeshCellShapeFunction|MeshCellStyle|MeshFunctions|MeshQualityGoal|MeshRefinementFunction|MeshShading|MeshStyle|MetaCharacters|MetaInformation|Method|MinColorDistance|MinIntervalSize|MinRecursion|MinSize|MissingBehavior|MissingDataMethod|MissingDataRules|MissingString|MissingStyle|Modal|Mode|MultiedgeStyle|MultilaunchWarning|MultilineFunction|Multiplicity|Multiselection|NetEvaluationMode|NicholsGridLines|NominalVariables|NonConstants|Normalized|NormalsFunction|NormFunction|NotebookAutoSave|NotebookConvertSettings|NotebookDynamicExpression|NotebookEventActions|NotebookPath|NotebooksMenu|NotificationFunction|NProductFactors|NSumTerms|NullRecords|NullWords|NumberFormat|NumberMarks|NumberMultiplier|NumberPadding|NumberPoint|NumberSeparator|NumberSigns|NyquistGridLines|OpacityFunction|OpacityFunctionScaling|OperatingSystem|OptionInspectorSettings|OutputAutoOverwrite|OutputSizeLimit|Overlaps|OverscriptBoxOptions|OverwriteTarget|PackingMethod|Padding|PaddingSize|PageBreakAbove|PageBreakBelow|PageBreakWithin|PageFooterLines|PageFooters|PageHeaderLines|PageHeaders|PageTheme|PageWidth|Pagination|PalettePath|Paneled|ParagraphIndent|ParagraphSpacing|Parallelization|ParameterEstimator|ParameterVariables|PartBehavior|PartitionGranularity|PartProtection|PassEventsDown|PassEventsUp|PasteBoxFormInlineCells|Path|PerformanceGoal|Permissions|PersistenceTime|PhaseRange|PIDDerivativeFilter|PIDFeedforward|Pivoting|PixelConstrained|PlaceholderReplace|PlayRange|PlotDivision|PlotJoined|PlotLabel|PlotLabels|PlotLayout|PlotLegends|PlotMarkers|PlotPoints|PlotRange|PlotRangeClipping|PlotRangePadding|PlotRegion|PlotStyle|PlotTheme|PodStates|PodWidth|PolarAxes|PolarAxesOrigin|PolarGridLines|PolarTicks|PoleZeroMarkers|PolygonIntersections|PrecisionGoal|PreferencesPath|PreprocessingRules|PreserveColor|PreserveImageOptions|PrincipalValue|PrintAction|PrintingCopies|PrintingOptions|PrintingPageRange|PrintingStartingPageNumber|PrintingStyleEnvironment|Printout3DPreviewer|PrintPrecision|PrivateCellOptions|PrivateEvaluationOptions|PrivateFontOptions|PrivateNotebookOptions|PrivatePaths|ProcessDirectory|ProcessEnvironment|ProcessEstimator|Prolog|Properties|PublisherID|Quartics|RadicalBoxOptions|RandomSeeding|RasterSize|RealBlockDiagonalForm|RecognitionPrior|RecognitionThreshold|RecordLists|RecordSeparators|ReferenceLineStyle|RefreshRate|RegionFunction|RegionSize|Regularization|RemoteAuthorizationCaching|RenderAll|RenderingOptions|RequiredPhysicalQuantities|Resampling|ResamplingMethod|RestartInterval|ReturnReceiptFunction|RevolutionAxis|RotateLabel|RotationAction|RoundingRadius|RowAlignments|RowLines|RowMinHeight|RowsEqual|RowSpacings|RulerUnits|RuntimeAttributes|RuntimeOptions|SameTest|SampleDepth|SampleRate|SamplingPeriod|Saveable|SaveDefinitions|ScaleDivisions|ScaleOrigin|ScalePadding|ScaleRanges|ScaleRangeStyle|ScalingFunctions|ScientificNotationThreshold|ScreenRectangle|ScreenStyleEnvironment|ScriptBaselineShifts|ScriptLevel|ScriptMinSize|ScriptSizeMultipliers|Scrollbars|ScrollingOptions|ScrollPosition|SectorOrigin|SectorSpacing|Selectable|SelfLoopStyle|Shading|SharingList|ShowAutoSpellCheck|ShowAutoStyles|ShowCellBracket|ShowCellLabel|ShowCellTags|ShowClosedCellArea|ShowContents|ShowCursorTracker|ShowGroupOpenCloseIcon|ShowGroupOpener|ShowPageBreaks|ShowSelection|ShowShortBoxForm|ShowStringCharacters|ShrinkingDelay|SignificanceLevel|SignPadding|SimilarityRules|SingleLetterItalics|SkinStyle|SolveDelayed|SoundVolume|SourceLink|Spacings|SpanAdjustments|SpanCharacterRounding|SpanLineThickness|SpanMaxSize|SpanMinSize|SpanSymmetric|SpecificityGoal|SpellingCorrection|SpellingDictionaries|SpellingDictionariesPath|SpellingOptions|SphericalRegion|SplineClosed|SplineDegree|SplineKnots|SplineWeights|SqrtBoxOptions|StabilityMargins|StabilityMarginsStyle|Standardized|StartingStepSize|StartupSound|StateDimensions|StateSpaceRealization|StepMonitor|StrataVariables|StreamColorFunction|StreamColorFunctionScaling|StreamMarkers|StreamPoints|StreamScale|StreamStyle|StripOnInput|StripWrapperBoxes|StructuredSelection|StyleBoxAutoDelete|StyleDefinitions|StyleMenuListing|StyleNameDialogSettings|StyleSheetPath|SubscriptBoxOptions|SubsuperscriptBoxOptions|SuperscriptBoxOptions|SynchronousInitialization|SynchronousUpdating|SyntaxForm|SystemHelpPath|SystemModelProgressReporting|SystemsModelLabels|TabFilling|TableAlignments|TableDepth|TableDirections|TableHeadings|TableSpacing|TabSpacings|TagBoxOptions|TaggingRules|TargetDevice|TargetFunctions|TargetUnits|TemplateBoxOptions|TemporalRegularity|TestID|TextAlignment|TextClipboardType|TextJustification|TextStyle|TextureCoordinateFunction|TextureCoordinateScaling|ThreadDepth|Ticks|TicksStyle|TimeConstraint|TimeDirection|TimeFormat|TimeGoal|TimeZone|TokenWords|Tolerance|TooltipDelay|TooltipStyle|TotalWidth|TouchscreenAutoZoom|TouchscreenControlPlacement|TraceAbove|TraceAction|TraceBackward|TraceDepth|TraceForward|TraceInternal|TraceOff|TraceOn|TraceOriginal|TrackedSymbols|TrackingFunction|TraditionalFunctionNotation|TrainingProgressCheckpointing|TrainingProgressFunction|TrainingProgressReporting|TransformationClass|TransformationFunctions|TransitionDirection|TransitionDuration|TransitionEffect|TravelMethod|TrendStyle|Trig|UnderoverscriptBoxOptions|UnderscriptBoxOptions|UndoOptions|UndoTrackedVariables|UnitSystem|UnityDimensions|UnsavedVariables|UpdateInterval|Using|UtilityFunction|ValidationLength|ValidationSet|ValueDimensions|ValuePreprocessingFunction|VarianceEstimatorFunction|VectorColorFunction|VectorColorFunctionScaling|VectorMarkers|VectorPoints|VectorScale|VectorStyle|VerifyConvergence|VerifySecurityCertificates|VerifySolutions|VerifyTestAssumptions|VertexCapacity|VertexColors|VertexCoordinateRules|VertexCoordinates|VertexDataCoordinates|VertexLabeling|VertexLabels|VertexLabelStyle|VertexNormals|VertexRenderingFunction|VertexShape|VertexShapeFunction|VertexSize|VertexStyle|VertexTextureCoordinates|VertexWeight|ViewAngle|ViewCenter|ViewMatrix|ViewPoint|ViewProjection|ViewRange|ViewVector|ViewVertical|Visible|WaveletScale|Weights|WhitePoint|WindowClickSelect|WindowElements|WindowFloating|WindowFrame|WindowFrameElements|WindowMargins|WindowMovable|WindowOpacity|WindowSize|WindowStatusArea|WindowTitle|WindowToolbars|WordOrientation|WordSearch|WordSelectionFunction|WordSeparators|WordSpacings|WorkingPrecision|WrapAround|ZeroTest|ZeroWidthTimes|ZoomCenter|ZoomFactor + functional_first_param: ActiveClassification|ActivePrediction|Apply|ApplySides|Array|ArrayFilter|Assert|AssociationMap|AsymptoticEqual|AsymptoticEquivalent|AsymptoticGreater|AsymptoticGreaterEqual|AsymptoticIntegrate|AsymptoticLess|AsymptoticLessEqual|AudioBlockMap|AudioSpectralMap|AudioSpectralTransformation|BayesianMaximization|BlockMap|Construct|Convolve|CountRoots|Curry|D|Default|DefaultValues|DensityPlot|DensityPlot3D|DifferenceDelta|DifferenceQuotient|DirichletConvolve|DiscreteConvolve|DiscreteRatio|DiscreteShift|DownValues|Dt|ExpectedValue|FileSystemMap|FileSystemScan|FixedPoint|FixedPointList|Fold|FoldList|FoldPair|FoldPairList|FormatValues|Grad|ImageApply|ImageApplyIndexed|ImageFileApply|ImageFileFilter|ImageFileScan|ImageFilter|ImageScan|Inactive|Inner|Integrate|InverseFunction|KeyMap|KeyValueMap|Laplacian|Map|MapAll|MapAt|MapIndexed|MapThread|MatrixFunction|MellinConvolve|MovingMap|Nest|NestGraph|NestList|NestWhile|NestWhileList|NIntegrate|NProduct|NSum|NValues|Outer|ParallelArray|ParallelCombine|ParallelMap|ParallelTry|Play|Product|RelationGraph|RootSum|SampledSoundFunction|Scan|SequenceFold|SequenceFoldList|Series|SliceContourPlot3D|SliceDensityPlot3D|SubValues|Sum|SumConvergence|SymmetricReduction|SyntaxInformation|ThreadingLayer|TimeSeriesMap|TimeSeriesMapThread|TimeSeriesThread|TraceScan|TransferFunctionTransform|UpValues|WaveletMapIndexed|While + functional_last_param: CheckAll|CountDistinctBy|CountsBy|CreateManagedLibraryExpression|DeleteDuplicatesBy|FirstPassageTimeDistribution|KeySelect|KeySortBy|LengthWhile|Merge|PeriodicBoundaryCondition|SortBy|TakeWhile|TransformedRegion + local_variables_at_2: Apart|ApartSquareFree|ArcCurvature|ArcLength|Collect|ComplexExpand|Curl|DiscreteLimit|DiscreteMaxLimit|DiscreteMinLimit|DiscretePlot|Div|FactorTerms|FactorTermsList|FrenetSerretSystem|Grad|Laplacian|Limit|LogLinearPlot|LogLogPlot|LogPlot|MaxLimit|MinLimit|NRoots|NSolve|Play|Plot|PolarPlot|Reduce|RepeatingElement|RootLocusPlot|Solve|SolveAlways + local_variables_at_3: AsymptoticEqual|AsymptoticEquivalent|AsymptoticGreater|AsymptoticGreaterEqual|AsymptoticLess|AsymptoticLessEqual + local_variables_from_2_to_Infinity: BodePlot|D|Do|FindMaximum|FindMinimum|FindRoot|FourierCosTransform|FourierSinTransform|FourierTransform|FunctionInterpolation|Integrate|NicholsPlot|NIntegrate|NProduct|NSum|NyquistPlot|ParallelDo|ParallelProduct|ParallelSum|ParallelTable|Product|Series|SingularValuePlot|Sum|Table + local_variables_from_2_to_3: ContourPlot|DensityPlot|DiscretePlot3D|LineIntegralConvolutionPlot|ListLineIntegralConvolutionPlot|ParametricPlot|ParametricPlot3D|Plot3D|RegionPlot|RevolutionPlot3D|SphericalPlot3D|StreamDensityPlot|StreamPlot|VectorDensityPlot|VectorPlot + local_variables_from_2_to_4: ContourPlot3D|RegionPlot3D|VectorPlot3D + local_variables_from_3_to_Infinity: NDSolve|NDSolveValue + +contexts: + main: + - include: expressions + + expressions: + - include: declarations + - include: pattern + - include: expressions-nopattern + + expressions-nopattern: + - include: comments + - include: literals + - include: shorthand + - include: operators + - include: function + - include: variable + - include: nested + + comments: + - match: (\(\*\s*)(::)([[:alnum:]]+)(::)(\s*\*\)) + captures: + 1: comment.line.wolfram + 2: constant.numeric.line-number.find-in-files + 3: constant.language.wolfram + 4: constant.numeric.line-number.find-in-files + 5: comment.line.wolfram + - match: \(\* + push: comment-block + + comment-block: + - meta_scope: comment.block.wolfram + - match: \(\* + push: comment-block + - match: \*\) + pop: true + + literals: + - match: |- + (?x) + (?: + ([1-9]\d*\^\^) # base + ((?:[[:alnum:]]+\.?|\.[[:alnum:]])[[:alnum:]]*) # value + | + ({{number}}) # value + ) + (?: + (\`\`(?:{{number}})?) # accuracy + | + (\`(?:{{number}})?) # precision + )? + (\*\^[+-]?{{number}})? # exponent + scope: meta.numeric.wolfram + captures: + 1: constant.numeric.base.wolfram + 2: constant.numeric.wolfram + 3: constant.numeric.wolfram + 4: constant.numeric.accuracy.wolfram + 5: constant.numeric.precision.wolfram + 6: constant.numeric.exponent.wolfram + + # built-in symbols + - match: !builtin built_in_numeric_constants + scope: constant.numeric.wolfram + - match: !builtin built_in_constants + scope: constant.language.wolfram + - match: !builtin built_in_options + scope: variable.parameter.wolfram + + # strings + - match: \" + scope: punctuation.definition.string.begin.wolfram + push: + - meta_scope: string.quoted.wolfram + - match: \" + scope: punctuation.definition.string.end.wolfram + pop: true + - match: \\\[\w+\] + scope: constant.character.escape.wolfram + - match: \\[()!*] + scope: keyword.operator.wolfram + - match: \\[^()!*] + scope: constant.character.escape.wolfram + - match: (?<=[\s\"\`])\`\w*\` + scope: constant.other.placeholder.wolfram + + shorthand: + # Out + - match: '%(\d*|%*)' + scope: storage.type.Out.wolfram + + # MessageName + - match: (::)\s*([[:alnum:]]+) + captures: + 1: keyword.operator.MessageName.wolfram + 2: string.unquoted.wolfram + + # Infix + - match: \~ + scope: keyword.operator.call.wolfram + push: + - meta_content_scope: meta.infix.wolfram + - match: ({{identifier}})?\s*(~) + captures: + 1: variable.function.wolfram + 2: keyword.operator.call.wolfram + pop: true + - include: expressions + + # Postfix and compound functions + - match: (//|[@/]\*)\s*({{identifier}}) + captures: + 1: keyword.operator.call.wolfram + 2: variable.function.wolfram + + operators: + - match: (@\*|@{1,3}|\/[@*]) + scope: keyword.operator.call.wolfram + - match: (\/\/?\.) + scope: keyword.operator.replace.wolfram + - match: (===|=!=|==|!=|>=|<=|<(?!\|)|(?) + scope: keyword.operator.comparison.wolfram + - match: (!|\|\||&&) + scope: keyword.operator.logical.wolfram + - match: (:?=|\/:|[-:]>|[+\-*/]=|<->) + scope: keyword.operator.assignment.wolfram + - match: \/; + scope: keyword.operator.condition.wolfram + - match: (\+\+|--|[+\-*/^]) + scope: keyword.operator.arithmetic.wolfram + - match: (>>>?|<<|~~) + scope: keyword.operator.string.wolfram + - match: \.\.\.? + scope: keyword.operator.repeat.wolfram + - match: ;; + scope: keyword.operator.span.wolfram + - match: ; + scope: keyword.operator.compound.wolfram + - match: \\\[[[:alnum:]]+\] + scope: keyword.operator.word.wolfram + - match: '&' + scope: keyword.operator.function variable.function.wolfram + - match: \?\?? + scope: keyword.operator.definition.wolfram + + pattern: + - match: ({{identifier}})\s*(:(?=[^:>=])) + captures: + 1: variable.parameter.wolfram + 2: keyword.operator.Pattern.wolfram + push: + - meta_content_scope: meta.pattern.wolfram + - match: \? + scope: keyword.operator.PatternTest.wolfram + - match: :(?=[^:>=]) + scope: keyword.operator.Optional.wolfram + pop: true + # we should check the precedence here + - match: (?=[:-]>|:?=|\/[;.\/]|[\]\)\},;&]|>>|<<) + pop: true + - include: expressions-nopattern + + variable: + # parameters + - match: |- + (?x) + ({{identifier}})? + (?: + (_\.) # Default + | + (_{1,3}) # Blank, BlankSequence, BlankNullSequence + ({{identifier}})? # Head + ) + scope: meta.parameter.wolfram + captures: + 1: variable.parameter.wolfram + 2: variable.parameter.default.wolfram + 3: variable.parameter.blank.wolfram + 4: variable.parameter.head.wolfram + push: + - match: (?:\s*)(\?) # PatternTest + scope: meta.pattern.wolfram + captures: + 1: keyword.operator.PatternTest.wolfram + pop: true + - match: (?:\s*)(:)(?=[^:>=]) # Optional + scope: meta.pattern.wolfram + captures: + 1: keyword.operator.Optional.wolfram + pop: true + - match: (?=.) + pop: true + + # variables + - match: !builtin built_in_functions + scope: variable.function + - match: '{{identifier}}' + scope: variable.other + + # slots + - match: (#[a-zA-Z][[:alnum:]]*|#\d*) + scope: variable.parameter.wolfram + + function: + # scoping functions + - match: ({{scoping_functions}})\s*(\[(?!\[)) + captures: + 1: variable.function.scoping.wolfram + 2: punctuation.section.brackets.begin.wolfram + push: + - meta_content_scope: meta.block.wolfram + - match: \{ + scope: punctuation.section.braces.begin.wolfram + set: [localized, local] + - include: meta-block + + # general functions + - match: ({{identifier}})\s*(\[(?!\[)) + captures: + 1: variable.function.wolfram + 3: punctuation.section.brackets.begin.wolfram + push: meta-block + - match: ({{identifier}})\s*(?=@{1,3}|//?@) + scope: variable.function.wolfram + + localized: + - meta_content_scope: meta.block.local.wolfram + - match: ',' + scope: punctuation.separator.sequence.wolfram + push: local + - match: \} + scope: punctuation.section.braces.end.wolfram + set: + - meta_content_scope: meta.block.wolfram + - match: \] + scope: punctuation.section.brackets.end.wolfram + pop: true + - include: expressions + - match: \] + scope: punctuation.section.brackets.end.wolfram + pop: true + - include: expressions + + local: + - match: '{{identifier}}' + scope: variable.parameter.wolfram + pop: true + - match: (?=[\,|\}]) + pop: true + - include: expressions + + declarations: + - match: |- + (?x) + {{identifier}} + (?= + \s* + ( + \[(?!\[) + (?> + [^\[\]]+| + \g<-1> + )* + \] + ) + \s*(?:\/;.*)?\s*:= + ) + scope: entity.name.function.wolfram + push: + - match: \[ + scope: punctuation.section.brackets.begin.wolfram + push: + - meta_scope: meta.arguments.wolfram + - match: \] + scope: punctuation.section.brackets.end.wolfram + pop: true + - include: sequence + - match: (?=[^\[]) + pop: true + # - match: ((?:{{symbol}}`)*(\${{symbol}}))(?=\s*:?=) + # scope: entity.name.constant.wolfram + - match: |- + (?x) + {{identifier}} + (?= + \s*:?=\s* + ( + [^\(\)]+| + \((?>\g<-1>)*\) + )* + &(;|$) + ) + scope: entity.name.function.wolfram + - match: ({{identifier}})(?=\s*:?=\s*Function\s*\[(?!\s*\[)) + scope: entity.name.function.wolfram + + sequence: + - meta_scope: meta.sequence.wolfram + - match: \,\s* + scope: punctuation.separator.sequence.wolfram + - include: expressions + + nested: + - match: \, + scope: punctuation.separator.sequence.wolfram + - !nested [ '\(', '\)', parens ] + - !nested [ '\[\s*\[', '\]\s*\]', parts ] + - !nested [ '\[', '\]', brackets ] + - !nested [ '\{', '\}', braces ] + - !nested [ '<\|', '\|>', association ] + + meta-block: !meta [ '\)', block, brackets ] + + meta-parameter: !meta [ '\}', parameter, braces ]