source-code/xarray/xarray_intro.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "toc-hr-collapsed": false
   },
   "source": [
    "# xarray package"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "xarray is a crossbreed between numpy and pandas. It allows to annotate pure numerical (numpy-like) data with indices, attributes and so on."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Required imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T04:57:31.798225Z",
     "start_time": "2019-07-03T04:57:31.776706Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "register_matplotlib_converters()\n",
    "import sys\n",
    "import xarray as xr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create a 2D array of floating point values that represent temperatures of a plane. The dimensions are named `x` and `y`, and the coordinates for those dimensions are provided."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T04:48:30.222457Z",
     "start_time": "2019-07-03T04:48:29.895908Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 11, y: 11)&gt;\n",
       "array([[18.91681625, 20.57431126, 19.97673899, 22.65803991, 20.16954256,\n",
       "        23.40393139, 22.77017224, 19.59463057, 23.53032185, 19.51621724,\n",
       "        21.14273436],\n",
       "       [20.52408619, 16.63332048, 20.81002455, 15.85027693, 23.34049869,\n",
       "        21.6222402 , 23.98876625, 22.00945277, 21.54584784, 23.52107946,\n",
       "        20.96632276],\n",
       "       [18.85618762, 21.09304758, 22.29889415, 22.9951105 , 20.71270315,\n",
       "        20.50416165, 20.10958461, 21.82981056, 18.9809549 , 20.056179  ,\n",
       "        19.39338995],\n",
       "       [22.42691955, 15.39524958, 21.91386883, 22.29948057, 20.63108928,\n",
       "        20.92561315, 20.63587919, 16.77927268, 19.33793852, 21.83951512,\n",
       "        19.21390616],\n",
       "       [21.03083106, 22.3117641 , 20.96206629, 22.63476904, 21.17681413,\n",
       "        19.82200407, 23.56725534, 22.40417722, 22.88257665, 16.44467104,\n",
       "        24.24542474],\n",
       "       [21.74297786, 20.74802381, 22.18175292, 16.97803129, 19.65831364,\n",
       "        20.52982909, 22.50068137, 17.99515524, 24.37490064, 22.90898445,\n",
       "        19.94693664],\n",
       "       [19.33574144, 22.20708363, 22.73352498, 21.34115567, 23.11773437,\n",
       "        18.19893192, 23.23793983, 21.65850722, 18.78761615, 20.82070249,\n",
       "        20.35123436],\n",
       "       [22.57853669, 20.48946451, 20.29482674, 21.75195115, 18.82689371,\n",
       "        19.22548283, 21.58835383, 20.95950821, 21.61258853, 21.18029854,\n",
       "        17.92958897],\n",
       "       [18.74784917, 20.34282523, 21.32263464, 21.74567566, 20.9402252 ,\n",
       "        16.77423666, 21.80778745, 23.93652213, 21.10327747, 22.51529136,\n",
       "        20.39471475],\n",
       "       [23.61398614, 18.94182409, 23.05549332, 19.0849221 , 21.48555647,\n",
       "        21.19141339, 24.78650937, 22.11660824, 19.64173034, 18.49327278,\n",
       "        22.63755955],\n",
       "       [19.99532624, 16.48669853, 19.26611569, 23.03188243, 21.70886893,\n",
       "        22.70629394, 20.22372439, 22.40230947, 26.284822  , 21.41111616,\n",
       "        21.54214416]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 11</li><li><span class='xr-has-index'>y</span>: 11</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-d8bf7b9a-8549-4ad1-89c9-606e4eea0f3f' class='xr-array-in' type='checkbox' checked><label for='section-d8bf7b9a-8549-4ad1-89c9-606e4eea0f3f' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>18.92 20.57 19.98 22.66 20.17 23.4 ... 20.22 22.4 26.28 21.41 21.54</span></div><div class='xr-array-data'><pre>array([[18.91681625, 20.57431126, 19.97673899, 22.65803991, 20.16954256,\n",
       "        23.40393139, 22.77017224, 19.59463057, 23.53032185, 19.51621724,\n",
       "        21.14273436],\n",
       "       [20.52408619, 16.63332048, 20.81002455, 15.85027693, 23.34049869,\n",
       "        21.6222402 , 23.98876625, 22.00945277, 21.54584784, 23.52107946,\n",
       "        20.96632276],\n",
       "       [18.85618762, 21.09304758, 22.29889415, 22.9951105 , 20.71270315,\n",
       "        20.50416165, 20.10958461, 21.82981056, 18.9809549 , 20.056179  ,\n",
       "        19.39338995],\n",
       "       [22.42691955, 15.39524958, 21.91386883, 22.29948057, 20.63108928,\n",
       "        20.92561315, 20.63587919, 16.77927268, 19.33793852, 21.83951512,\n",
       "        19.21390616],\n",
       "       [21.03083106, 22.3117641 , 20.96206629, 22.63476904, 21.17681413,\n",
       "        19.82200407, 23.56725534, 22.40417722, 22.88257665, 16.44467104,\n",
       "        24.24542474],\n",
       "       [21.74297786, 20.74802381, 22.18175292, 16.97803129, 19.65831364,\n",
       "        20.52982909, 22.50068137, 17.99515524, 24.37490064, 22.90898445,\n",
       "        19.94693664],\n",
       "       [19.33574144, 22.20708363, 22.73352498, 21.34115567, 23.11773437,\n",
       "        18.19893192, 23.23793983, 21.65850722, 18.78761615, 20.82070249,\n",
       "        20.35123436],\n",
       "       [22.57853669, 20.48946451, 20.29482674, 21.75195115, 18.82689371,\n",
       "        19.22548283, 21.58835383, 20.95950821, 21.61258853, 21.18029854,\n",
       "        17.92958897],\n",
       "       [18.74784917, 20.34282523, 21.32263464, 21.74567566, 20.9402252 ,\n",
       "        16.77423666, 21.80778745, 23.93652213, 21.10327747, 22.51529136,\n",
       "        20.39471475],\n",
       "       [23.61398614, 18.94182409, 23.05549332, 19.0849221 , 21.48555647,\n",
       "        21.19141339, 24.78650937, 22.11660824, 19.64173034, 18.49327278,\n",
       "        22.63755955],\n",
       "       [19.99532624, 16.48669853, 19.26611569, 23.03188243, 21.70886893,\n",
       "        22.70629394, 20.22372439, 22.40230947, 26.284822  , 21.41111616,\n",
       "        21.54214416]])</pre></div></div></li><li class='xr-section-item'><input id='section-075bc631-2185-496f-950f-ee154401c8f5' class='xr-section-summary-in' type='checkbox'  checked><label for='section-075bc631-2185-496f-950f-ee154401c8f5' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-f679ec65-3fc6-4b9a-b629-15a6cb10aaef' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f679ec65-3fc6-4b9a-b629-15a6cb10aaef' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-631c4956-3a3e-4244-81b0-14ad570cf418' class='xr-var-data-in' type='checkbox'><label for='data-631c4956-3a3e-4244-81b0-14ad570cf418' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-c0cdf71f-7eba-4e94-9200-88cd70d5b70b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c0cdf71f-7eba-4e94-9200-88cd70d5b70b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8c4fd228-5b31-48ca-a6be-1594da8be107' class='xr-var-data-in' type='checkbox'><label for='data-8c4fd228-5b31-48ca-a6be-1594da8be107' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-dae5ae57-e25b-4806-87f9-3f7788a1fa32' class='xr-section-summary-in' type='checkbox'  ><label for='section-dae5ae57-e25b-4806-87f9-3f7788a1fa32' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-3a457247-7717-4edc-bd72-e44b0f7e1c55' class='xr-index-data-in' type='checkbox'/><label for='index-3a457247-7717-4edc-bd72-e44b0f7e1c55' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-86a3be4f-0134-4dcf-9b14-228faa652fc9' class='xr-index-data-in' type='checkbox'/><label for='index-86a3be4f-0134-4dcf-9b14-228faa652fc9' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-24c199d2-b086-47bf-b862-ff4109af05c0' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-24c199d2-b086-47bf-b862-ff4109af05c0' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 11, y: 11)>\n",
       "array([[18.91681625, 20.57431126, 19.97673899, 22.65803991, 20.16954256,\n",
       "        23.40393139, 22.77017224, 19.59463057, 23.53032185, 19.51621724,\n",
       "        21.14273436],\n",
       "       [20.52408619, 16.63332048, 20.81002455, 15.85027693, 23.34049869,\n",
       "        21.6222402 , 23.98876625, 22.00945277, 21.54584784, 23.52107946,\n",
       "        20.96632276],\n",
       "       [18.85618762, 21.09304758, 22.29889415, 22.9951105 , 20.71270315,\n",
       "        20.50416165, 20.10958461, 21.82981056, 18.9809549 , 20.056179  ,\n",
       "        19.39338995],\n",
       "       [22.42691955, 15.39524958, 21.91386883, 22.29948057, 20.63108928,\n",
       "        20.92561315, 20.63587919, 16.77927268, 19.33793852, 21.83951512,\n",
       "        19.21390616],\n",
       "       [21.03083106, 22.3117641 , 20.96206629, 22.63476904, 21.17681413,\n",
       "        19.82200407, 23.56725534, 22.40417722, 22.88257665, 16.44467104,\n",
       "        24.24542474],\n",
       "       [21.74297786, 20.74802381, 22.18175292, 16.97803129, 19.65831364,\n",
       "        20.52982909, 22.50068137, 17.99515524, 24.37490064, 22.90898445,\n",
       "        19.94693664],\n",
       "       [19.33574144, 22.20708363, 22.73352498, 21.34115567, 23.11773437,\n",
       "        18.19893192, 23.23793983, 21.65850722, 18.78761615, 20.82070249,\n",
       "        20.35123436],\n",
       "       [22.57853669, 20.48946451, 20.29482674, 21.75195115, 18.82689371,\n",
       "        19.22548283, 21.58835383, 20.95950821, 21.61258853, 21.18029854,\n",
       "        17.92958897],\n",
       "       [18.74784917, 20.34282523, 21.32263464, 21.74567566, 20.9402252 ,\n",
       "        16.77423666, 21.80778745, 23.93652213, 21.10327747, 22.51529136,\n",
       "        20.39471475],\n",
       "       [23.61398614, 18.94182409, 23.05549332, 19.0849221 , 21.48555647,\n",
       "        21.19141339, 24.78650937, 22.11660824, 19.64173034, 18.49327278,\n",
       "        22.63755955],\n",
       "       [19.99532624, 16.48669853, 19.26611569, 23.03188243, 21.70886893,\n",
       "        22.70629394, 20.22372439, 22.40230947, 26.284822  , 21.41111616,\n",
       "        21.54214416]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid_size = 11\n",
    "temperature = xr.DataArray(np.random.normal(loc=21.0, scale=2.0, size=(grid_size, grid_size)),\n",
    "                           dims=('x', 'y'), coords={'x': np.linspace(0.0, 1.0, grid_size),\n",
    "                                                    'y': np.linspace(0.0, 1.0, grid_size)})\n",
    "temperature"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Accessing data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The elements can be accessed as you would do for a numpy array as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T05:01:08.509437Z",
     "start_time": "2019-07-03T05:01:08.480251Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray ()&gt;\n",
       "array(20.81002455)\n",
       "Coordinates:\n",
       "    x        float64 0.1\n",
       "    y        float64 0.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-f9e62cde-28bb-49c1-baca-f466030c25ee' class='xr-array-in' type='checkbox' checked><label for='section-f9e62cde-28bb-49c1-baca-f466030c25ee' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>20.81</span></div><div class='xr-array-data'><pre>array(20.81002455)</pre></div></div></li><li class='xr-section-item'><input id='section-85074c88-52af-4c4a-9edf-dfd27faf68e7' class='xr-section-summary-in' type='checkbox'  checked><label for='section-85074c88-52af-4c4a-9edf-dfd27faf68e7' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>x</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-f4f674f0-d647-41bd-a154-7d8158a2aa8c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f4f674f0-d647-41bd-a154-7d8158a2aa8c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9039bceb-3206-47b6-94cc-9c29a647b619' class='xr-var-data-in' type='checkbox'><label for='data-9039bceb-3206-47b6-94cc-9c29a647b619' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0.1)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>y</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.2</div><input id='attrs-ac7e604b-b6b2-43f1-a593-4caf95116b03' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ac7e604b-b6b2-43f1-a593-4caf95116b03' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f72e3642-3d09-4c8d-a405-1943c011df48' class='xr-var-data-in' type='checkbox'><label for='data-f72e3642-3d09-4c8d-a405-1943c011df48' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0.2)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7dbdb341-489a-45b8-9789-909d885f3efa' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-7dbdb341-489a-45b8-9789-909d885f3efa' class='xr-section-summary'  title='Expand/collapse section'>Indexes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-75615ce9-5be2-4c7d-a8a2-7c6c6496026a' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-75615ce9-5be2-4c7d-a8a2-7c6c6496026a' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray ()>\n",
       "array(20.81002455)\n",
       "Coordinates:\n",
       "    x        float64 0.1\n",
       "    y        float64 0.2"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature[1, 2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note however that the result is a new xarray, althought it contains only a single element.  An advantage of this is that the coordinates are part of the result."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The values of the xarray `temperature` can now be accessed by index, i.e., the value of the coordinates, e.g., the temperature at $x = 0.1$ and $y = 0.2$ is given by:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-02T14:46:35.996918Z",
     "start_time": "2019-07-02T14:46:35.966369Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray ()&gt;\n",
       "array(20.81002455)\n",
       "Coordinates:\n",
       "    x        float64 0.1\n",
       "    y        float64 0.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-ab1b09c5-8982-434e-9f40-f0c8ade86389' class='xr-array-in' type='checkbox' checked><label for='section-ab1b09c5-8982-434e-9f40-f0c8ade86389' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>20.81</span></div><div class='xr-array-data'><pre>array(20.81002455)</pre></div></div></li><li class='xr-section-item'><input id='section-4ffd8ad4-3019-4387-8e3f-dc18de8e4547' class='xr-section-summary-in' type='checkbox'  checked><label for='section-4ffd8ad4-3019-4387-8e3f-dc18de8e4547' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>x</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-baa07c83-fbe7-452c-b874-340015a7509e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-baa07c83-fbe7-452c-b874-340015a7509e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-787e7b23-308c-446c-8195-90917a52fb5b' class='xr-var-data-in' type='checkbox'><label for='data-787e7b23-308c-446c-8195-90917a52fb5b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0.1)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>y</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.2</div><input id='attrs-d6c6c231-8492-4bed-bc87-4c5ed3789fea' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d6c6c231-8492-4bed-bc87-4c5ed3789fea' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6a70608a-b171-4b34-80c8-26ee5d9c5fca' class='xr-var-data-in' type='checkbox'><label for='data-6a70608a-b171-4b34-80c8-26ee5d9c5fca' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0.2)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-a1600b53-5520-4816-920d-77813e7f30fc' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-a1600b53-5520-4816-920d-77813e7f30fc' class='xr-section-summary'  title='Expand/collapse section'>Indexes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-f1be49b8-6d97-4493-8810-2878a00411e3' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-f1be49b8-6d97-4493-8810-2878a00411e3' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray ()>\n",
       "array(20.81002455)\n",
       "Coordinates:\n",
       "    x        float64 0.1\n",
       "    y        float64 0.2"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature.sel(x=0.1, y=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that using `float` coordinates may lead to unexpected results due to round off errors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T04:59:13.433341Z",
     "start_time": "2019-07-03T04:59:13.409876Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "KeyError for \"not all values found in index 'y'. Try setting the `method` keyword argument (example: method='nearest').\"\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    temperature.sel(x=0.1, y=0.200000000001)\n",
    "except KeyError as e:\n",
    "    print(f'KeyError for {e}', file=sys.stderr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is straightforward to interpolate, as we'll discuss in a [later section](#Interpolation)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "xarrays can be indexed by slicing as well.  Note that you need to use the `slice` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T07:08:20.915039Z",
     "start_time": "2019-07-03T07:08:20.841836Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 7, y: 2)&gt;\n",
       "array([[21.09304758, 22.29889415],\n",
       "       [15.39524958, 21.91386883],\n",
       "       [22.3117641 , 20.96206629],\n",
       "       [20.74802381, 22.18175292],\n",
       "       [22.20708363, 22.73352498],\n",
       "       [20.48946451, 20.29482674],\n",
       "       [20.34282523, 21.32263464]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.2 0.3 0.4 0.5 0.6 0.7 0.8\n",
       "  * y        (y) float64 0.1 0.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 7</li><li><span class='xr-has-index'>y</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-b0c178d3-2146-476c-91c3-154129110d34' class='xr-array-in' type='checkbox' checked><label for='section-b0c178d3-2146-476c-91c3-154129110d34' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>21.09 22.3 15.4 21.91 22.31 20.96 ... 22.73 20.49 20.29 20.34 21.32</span></div><div class='xr-array-data'><pre>array([[21.09304758, 22.29889415],\n",
       "       [15.39524958, 21.91386883],\n",
       "       [22.3117641 , 20.96206629],\n",
       "       [20.74802381, 22.18175292],\n",
       "       [22.20708363, 22.73352498],\n",
       "       [20.48946451, 20.29482674],\n",
       "       [20.34282523, 21.32263464]])</pre></div></div></li><li class='xr-section-item'><input id='section-3b3e3699-7598-48f5-ac8c-f8bf9ddf90a6' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3b3e3699-7598-48f5-ac8c-f8bf9ddf90a6' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.2 0.3 0.4 0.5 0.6 0.7 0.8</div><input id='attrs-b3c949a9-de10-4ffe-848b-2d98f25878c3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b3c949a9-de10-4ffe-848b-2d98f25878c3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-25557e9b-51d6-4cda-923c-a8ce1f316e31' class='xr-var-data-in' type='checkbox'><label for='data-25557e9b-51d6-4cda-923c-a8ce1f316e31' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1 0.2</div><input id='attrs-9f85e63a-c716-4227-b904-7a799fa3d049' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9f85e63a-c716-4227-b904-7a799fa3d049' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4bfe1e96-3502-43d6-afa0-4977178163f8' class='xr-var-data-in' type='checkbox'><label for='data-4bfe1e96-3502-43d6-afa0-4977178163f8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.1, 0.2])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-50397e9a-7e1c-49cd-bc16-50766fe7a6e0' class='xr-section-summary-in' type='checkbox'  ><label for='section-50397e9a-7e1c-49cd-bc16-50766fe7a6e0' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-50dcfe35-aec9-4189-ab61-d426a9cdee8c' class='xr-index-data-in' type='checkbox'/><label for='index-50dcfe35-aec9-4189-ab61-d426a9cdee8c' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0.2, 0.30000000000000004, 0.4, 0.5, 0.6000000000000001,\n",
       "       0.7000000000000001, 0.8],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-bcad3603-3e34-4aa0-b7f3-838f3b2a5868' class='xr-index-data-in' type='checkbox'/><label for='index-bcad3603-3e34-4aa0-b7f3-838f3b2a5868' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0.1, 0.2], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7f193f43-6e5d-4959-aa7f-deb873263da7' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-7f193f43-6e5d-4959-aa7f-deb873263da7' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 7, y: 2)>\n",
       "array([[21.09304758, 22.29889415],\n",
       "       [15.39524958, 21.91386883],\n",
       "       [22.3117641 , 20.96206629],\n",
       "       [20.74802381, 22.18175292],\n",
       "       [22.20708363, 22.73352498],\n",
       "       [20.48946451, 20.29482674],\n",
       "       [20.34282523, 21.32263464]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.2 0.3 0.4 0.5 0.6 0.7 0.8\n",
       "  * y        (y) float64 0.1 0.2"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature.sel(x=slice(0.2, 0.8), y=slice(0.1, 0.3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also possible to select values from an xarray using integer location indices on specific dimensions without worrying about the layout of the array."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T05:00:57.912906Z",
     "start_time": "2019-07-03T05:00:57.892762Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray ()&gt;\n",
       "array(20.81002455)\n",
       "Coordinates:\n",
       "    x        float64 0.1\n",
       "    y        float64 0.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-717acf2f-7ef2-43fb-bf15-e7d1d79e164c' class='xr-array-in' type='checkbox' checked><label for='section-717acf2f-7ef2-43fb-bf15-e7d1d79e164c' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>20.81</span></div><div class='xr-array-data'><pre>array(20.81002455)</pre></div></div></li><li class='xr-section-item'><input id='section-228876c9-d998-4de1-850b-7bfe2a8f2612' class='xr-section-summary-in' type='checkbox'  checked><label for='section-228876c9-d998-4de1-850b-7bfe2a8f2612' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>x</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1</div><input id='attrs-fe969f8f-333a-4dfd-8a00-582a5eec0e26' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fe969f8f-333a-4dfd-8a00-582a5eec0e26' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2d5d948a-4c02-43d6-a70d-9f95a78dac89' class='xr-var-data-in' type='checkbox'><label for='data-2d5d948a-4c02-43d6-a70d-9f95a78dac89' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0.1)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>y</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.2</div><input id='attrs-00a4821c-793d-481e-bac1-b2d06e705e16' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-00a4821c-793d-481e-bac1-b2d06e705e16' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-71008060-203d-4a7f-a257-c678953770d2' class='xr-var-data-in' type='checkbox'><label for='data-71008060-203d-4a7f-a257-c678953770d2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(0.2)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-29dbc019-e4c9-49e8-acba-d9be050a126b' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-29dbc019-e4c9-49e8-acba-d9be050a126b' class='xr-section-summary'  title='Expand/collapse section'>Indexes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-2d1676d3-e005-49a1-a4db-5daefc1e0f4d' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-2d1676d3-e005-49a1-a4db-5daefc1e0f4d' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray ()>\n",
       "array(20.81002455)\n",
       "Coordinates:\n",
       "    x        float64 0.1\n",
       "    y        float64 0.2"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature.isel(x=1, y=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A scalar value can be obtained using the `float` constructor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-02T14:47:41.855378Z",
     "start_time": "2019-07-02T14:47:41.842593Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20.81002455308927"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(temperature.isel(x=1, y=2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T07:21:03.186815Z",
     "start_time": "2019-07-03T07:21:03.145478Z"
    }
   },
   "source": [
    "As in pandas, direct access to the underlying numpy array is available as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:57:01.034727Z",
     "start_time": "2019-07-03T08:57:01.021467Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.ndarray'> float64 (11, 11)\n"
     ]
    }
   ],
   "source": [
    "print(type(temperature.values), temperature.values.dtype, temperature.values.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Metadata"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Like a numpy array, the data type and shape of an xarray can be easily obtained."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:59:03.230436Z",
     "start_time": "2019-07-03T08:59:03.220621Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "float64 (11, 11)\n"
     ]
    }
   ],
   "source": [
    "print(temperature.dtype, temperature.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dimensions can be retrieved."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T07:37:15.883407Z",
     "start_time": "2019-07-03T07:37:15.866205Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('x', 'y')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature.dims"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The coordinates associated with an xarray can be retrieved as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-02T14:50:47.268531Z",
     "start_time": "2019-07-02T14:50:47.235440Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;x&#x27; (x: 11)&gt;\n",
       "array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'x'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 11</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-9893eb77-d97a-45b4-9af4-f2e5505fb3c7' class='xr-array-in' type='checkbox' checked><label for='section-9893eb77-d97a-45b4-9af4-f2e5505fb3c7' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0</span></div><div class='xr-array-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></div></li><li class='xr-section-item'><input id='section-d7dd0cb0-2524-435f-8cbd-183fcf4b3435' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d7dd0cb0-2524-435f-8cbd-183fcf4b3435' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-a0a90a0d-de7b-4c30-9a89-909a78dea888' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a0a90a0d-de7b-4c30-9a89-909a78dea888' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-372255cf-01ce-4322-9202-8b6a19deae56' class='xr-var-data-in' type='checkbox'><label for='data-372255cf-01ce-4322-9202-8b6a19deae56' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b8fb459f-28c1-443f-902f-15f4277d6d27' class='xr-section-summary-in' type='checkbox'  ><label for='section-b8fb459f-28c1-443f-902f-15f4277d6d27' class='xr-section-summary' >Indexes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-75a3852e-bee8-46e2-b615-064c6ede8b49' class='xr-index-data-in' type='checkbox'/><label for='index-75a3852e-bee8-46e2-b615-064c6ede8b49' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-af0742ad-0b8b-4d74-bdcd-abccf7472e83' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-af0742ad-0b8b-4d74-bdcd-abccf7472e83' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'x' (x: 11)>\n",
       "array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature.coords['x']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This can be quite convenient to reuse the same coordinates in a new xarray."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:49:44.720587Z",
     "start_time": "2019-07-03T08:49:44.684016Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 11, y: 11)&gt;\n",
       "array([[108413.36343659, 110493.23427273, 109769.94840081,\n",
       "        113546.23588356, 103181.20303329, 107021.39720362,\n",
       "        109965.56093441, 107984.09625469, 102981.2765376 ,\n",
       "        112073.36456538, 111314.81539685],\n",
       "       [106764.59280199, 102434.73185053, 105958.3176097 ,\n",
       "        115016.31613086, 107107.39366889, 107078.0908751 ,\n",
       "        105738.26541788, 111363.82175585, 112281.51412918,\n",
       "        113184.23948465, 110291.65121039],\n",
       "       [111308.99793514, 109957.96603048, 113029.62569425,\n",
       "        109662.65858558, 114592.37135178, 114860.1991135 ,\n",
       "        113389.58034631, 106101.80102463, 106533.92435968,\n",
       "        110780.17235379, 110696.83629726],\n",
       "       [108870.93144887, 107072.84715553, 108578.81062076,\n",
       "        108168.36268568, 105962.20719393, 113115.96599023,\n",
       "        111220.09450559, 110525.11634984, 110993.73242892,\n",
       "        113030.38937422, 109621.23676152],\n",
       "       [108022.34168668, 106006.82958017, 114543.54259113,\n",
       "        104314.70150708, 106234.30752885, 112010.34712609,\n",
       "        108925.79270062, 109514.15120956, 106843.60762947,\n",
       "        112207.68272795, 114484.04799351],\n",
       "...\n",
       "       [115076.6248769 , 109203.25089945, 115380.69268761,\n",
       "        111463.71125415, 109630.36971874, 110712.83402422,\n",
       "        107776.96228609, 107749.79979381, 109760.30447736,\n",
       "        110136.15808614, 115877.26209161],\n",
       "       [115143.59125056, 106853.24725397, 109554.43603732,\n",
       "        108012.23895115, 106905.08449596, 116904.98748628,\n",
       "        108554.54051682, 112076.02125111, 110173.98626517,\n",
       "        105313.42938316, 112780.30487503],\n",
       "       [103746.20140268, 109032.27634008, 103552.42914592,\n",
       "        109657.09788481, 111660.03901291, 105112.4042802 ,\n",
       "        111204.04837298, 112310.3029169 , 105047.61372043,\n",
       "        107759.84351468, 108704.65945636],\n",
       "       [109643.6598873 , 112680.06494161, 112570.45339547,\n",
       "        109037.18960709, 111021.89418049, 114934.52815642,\n",
       "        109779.61397221, 107134.02429326, 111278.36525656,\n",
       "        111563.22137175, 113282.1466573 ],\n",
       "       [107880.11248936, 108204.572664  , 106859.55098685,\n",
       "        105548.76346449, 111989.77679666, 112214.94816686,\n",
       "        106309.80918448, 109264.7619052 , 106163.08466015,\n",
       "        110819.19955675, 114259.22406007]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 11</li><li><span class='xr-has-index'>y</span>: 11</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-b3107cdf-c7a1-4074-8329-6ac5892a506a' class='xr-array-in' type='checkbox' checked><label for='section-b3107cdf-c7a1-4074-8329-6ac5892a506a' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>1.084e+05 1.105e+05 1.098e+05 ... 1.062e+05 1.108e+05 1.143e+05</span></div><div class='xr-array-data'><pre>array([[108413.36343659, 110493.23427273, 109769.94840081,\n",
       "        113546.23588356, 103181.20303329, 107021.39720362,\n",
       "        109965.56093441, 107984.09625469, 102981.2765376 ,\n",
       "        112073.36456538, 111314.81539685],\n",
       "       [106764.59280199, 102434.73185053, 105958.3176097 ,\n",
       "        115016.31613086, 107107.39366889, 107078.0908751 ,\n",
       "        105738.26541788, 111363.82175585, 112281.51412918,\n",
       "        113184.23948465, 110291.65121039],\n",
       "       [111308.99793514, 109957.96603048, 113029.62569425,\n",
       "        109662.65858558, 114592.37135178, 114860.1991135 ,\n",
       "        113389.58034631, 106101.80102463, 106533.92435968,\n",
       "        110780.17235379, 110696.83629726],\n",
       "       [108870.93144887, 107072.84715553, 108578.81062076,\n",
       "        108168.36268568, 105962.20719393, 113115.96599023,\n",
       "        111220.09450559, 110525.11634984, 110993.73242892,\n",
       "        113030.38937422, 109621.23676152],\n",
       "       [108022.34168668, 106006.82958017, 114543.54259113,\n",
       "        104314.70150708, 106234.30752885, 112010.34712609,\n",
       "        108925.79270062, 109514.15120956, 106843.60762947,\n",
       "        112207.68272795, 114484.04799351],\n",
       "...\n",
       "       [115076.6248769 , 109203.25089945, 115380.69268761,\n",
       "        111463.71125415, 109630.36971874, 110712.83402422,\n",
       "        107776.96228609, 107749.79979381, 109760.30447736,\n",
       "        110136.15808614, 115877.26209161],\n",
       "       [115143.59125056, 106853.24725397, 109554.43603732,\n",
       "        108012.23895115, 106905.08449596, 116904.98748628,\n",
       "        108554.54051682, 112076.02125111, 110173.98626517,\n",
       "        105313.42938316, 112780.30487503],\n",
       "       [103746.20140268, 109032.27634008, 103552.42914592,\n",
       "        109657.09788481, 111660.03901291, 105112.4042802 ,\n",
       "        111204.04837298, 112310.3029169 , 105047.61372043,\n",
       "        107759.84351468, 108704.65945636],\n",
       "       [109643.6598873 , 112680.06494161, 112570.45339547,\n",
       "        109037.18960709, 111021.89418049, 114934.52815642,\n",
       "        109779.61397221, 107134.02429326, 111278.36525656,\n",
       "        111563.22137175, 113282.1466573 ],\n",
       "       [107880.11248936, 108204.572664  , 106859.55098685,\n",
       "        105548.76346449, 111989.77679666, 112214.94816686,\n",
       "        106309.80918448, 109264.7619052 , 106163.08466015,\n",
       "        110819.19955675, 114259.22406007]])</pre></div></div></li><li class='xr-section-item'><input id='section-16ede005-b6c8-4c5c-afe5-405879eb12f4' class='xr-section-summary-in' type='checkbox'  checked><label for='section-16ede005-b6c8-4c5c-afe5-405879eb12f4' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-ce7825fc-6d69-475a-b2a7-400e36e7be90' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ce7825fc-6d69-475a-b2a7-400e36e7be90' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a653382d-2afb-47cd-bf80-493eb9caa8a1' class='xr-var-data-in' type='checkbox'><label for='data-a653382d-2afb-47cd-bf80-493eb9caa8a1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-54c7c545-1d6b-4abc-a11f-2c685127b2c9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-54c7c545-1d6b-4abc-a11f-2c685127b2c9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c9831c58-135e-4acf-b5b5-f7229fa9a6fd' class='xr-var-data-in' type='checkbox'><label for='data-c9831c58-135e-4acf-b5b5-f7229fa9a6fd' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-37068c49-9bf9-462e-b44d-141edbb6a4f7' class='xr-section-summary-in' type='checkbox'  ><label for='section-37068c49-9bf9-462e-b44d-141edbb6a4f7' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-0bc8eac8-685e-4534-a4a9-ab4f5542df73' class='xr-index-data-in' type='checkbox'/><label for='index-0bc8eac8-685e-4534-a4a9-ab4f5542df73' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-71d68ff8-90da-4754-849d-a9830c1c59b2' class='xr-index-data-in' type='checkbox'/><label for='index-71d68ff8-90da-4754-849d-a9830c1c59b2' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-08547969-dcba-421f-bb4b-24abdd790fca' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-08547969-dcba-421f-bb4b-24abdd790fca' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 11, y: 11)>\n",
       "array([[108413.36343659, 110493.23427273, 109769.94840081,\n",
       "        113546.23588356, 103181.20303329, 107021.39720362,\n",
       "        109965.56093441, 107984.09625469, 102981.2765376 ,\n",
       "        112073.36456538, 111314.81539685],\n",
       "       [106764.59280199, 102434.73185053, 105958.3176097 ,\n",
       "        115016.31613086, 107107.39366889, 107078.0908751 ,\n",
       "        105738.26541788, 111363.82175585, 112281.51412918,\n",
       "        113184.23948465, 110291.65121039],\n",
       "       [111308.99793514, 109957.96603048, 113029.62569425,\n",
       "        109662.65858558, 114592.37135178, 114860.1991135 ,\n",
       "        113389.58034631, 106101.80102463, 106533.92435968,\n",
       "        110780.17235379, 110696.83629726],\n",
       "       [108870.93144887, 107072.84715553, 108578.81062076,\n",
       "        108168.36268568, 105962.20719393, 113115.96599023,\n",
       "        111220.09450559, 110525.11634984, 110993.73242892,\n",
       "        113030.38937422, 109621.23676152],\n",
       "       [108022.34168668, 106006.82958017, 114543.54259113,\n",
       "        104314.70150708, 106234.30752885, 112010.34712609,\n",
       "        108925.79270062, 109514.15120956, 106843.60762947,\n",
       "        112207.68272795, 114484.04799351],\n",
       "...\n",
       "       [115076.6248769 , 109203.25089945, 115380.69268761,\n",
       "        111463.71125415, 109630.36971874, 110712.83402422,\n",
       "        107776.96228609, 107749.79979381, 109760.30447736,\n",
       "        110136.15808614, 115877.26209161],\n",
       "       [115143.59125056, 106853.24725397, 109554.43603732,\n",
       "        108012.23895115, 106905.08449596, 116904.98748628,\n",
       "        108554.54051682, 112076.02125111, 110173.98626517,\n",
       "        105313.42938316, 112780.30487503],\n",
       "       [103746.20140268, 109032.27634008, 103552.42914592,\n",
       "        109657.09788481, 111660.03901291, 105112.4042802 ,\n",
       "        111204.04837298, 112310.3029169 , 105047.61372043,\n",
       "        107759.84351468, 108704.65945636],\n",
       "       [109643.6598873 , 112680.06494161, 112570.45339547,\n",
       "        109037.18960709, 111021.89418049, 114934.52815642,\n",
       "        109779.61397221, 107134.02429326, 111278.36525656,\n",
       "        111563.22137175, 113282.1466573 ],\n",
       "       [107880.11248936, 108204.572664  , 106859.55098685,\n",
       "        105548.76346449, 111989.77679666, 112214.94816686,\n",
       "        106309.80918448, 109264.7619052 , 106163.08466015,\n",
       "        110819.19955675, 114259.22406007]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pressure = xr.DataArray(np.random.normal(loc=1.1e5, scale=3e3, size=temperature.shape),\n",
    "                        dims=temperature.dims, coords=temperature.coords)\n",
    "pressure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Arbitrary attributes can be added to an xarray to store additional metadata."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:49:48.540207Z",
     "start_time": "2019-07-03T08:49:48.518321Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 11, y: 11)&gt;\n",
       "array([[108413.36343659, 110493.23427273, 109769.94840081,\n",
       "        113546.23588356, 103181.20303329, 107021.39720362,\n",
       "        109965.56093441, 107984.09625469, 102981.2765376 ,\n",
       "        112073.36456538, 111314.81539685],\n",
       "       [106764.59280199, 102434.73185053, 105958.3176097 ,\n",
       "        115016.31613086, 107107.39366889, 107078.0908751 ,\n",
       "        105738.26541788, 111363.82175585, 112281.51412918,\n",
       "        113184.23948465, 110291.65121039],\n",
       "       [111308.99793514, 109957.96603048, 113029.62569425,\n",
       "        109662.65858558, 114592.37135178, 114860.1991135 ,\n",
       "        113389.58034631, 106101.80102463, 106533.92435968,\n",
       "        110780.17235379, 110696.83629726],\n",
       "       [108870.93144887, 107072.84715553, 108578.81062076,\n",
       "        108168.36268568, 105962.20719393, 113115.96599023,\n",
       "        111220.09450559, 110525.11634984, 110993.73242892,\n",
       "        113030.38937422, 109621.23676152],\n",
       "       [108022.34168668, 106006.82958017, 114543.54259113,\n",
       "        104314.70150708, 106234.30752885, 112010.34712609,\n",
       "        108925.79270062, 109514.15120956, 106843.60762947,\n",
       "        112207.68272795, 114484.04799351],\n",
       "...\n",
       "       [115076.6248769 , 109203.25089945, 115380.69268761,\n",
       "        111463.71125415, 109630.36971874, 110712.83402422,\n",
       "        107776.96228609, 107749.79979381, 109760.30447736,\n",
       "        110136.15808614, 115877.26209161],\n",
       "       [115143.59125056, 106853.24725397, 109554.43603732,\n",
       "        108012.23895115, 106905.08449596, 116904.98748628,\n",
       "        108554.54051682, 112076.02125111, 110173.98626517,\n",
       "        105313.42938316, 112780.30487503],\n",
       "       [103746.20140268, 109032.27634008, 103552.42914592,\n",
       "        109657.09788481, 111660.03901291, 105112.4042802 ,\n",
       "        111204.04837298, 112310.3029169 , 105047.61372043,\n",
       "        107759.84351468, 108704.65945636],\n",
       "       [109643.6598873 , 112680.06494161, 112570.45339547,\n",
       "        109037.18960709, 111021.89418049, 114934.52815642,\n",
       "        109779.61397221, 107134.02429326, 111278.36525656,\n",
       "        111563.22137175, 113282.1466573 ],\n",
       "       [107880.11248936, 108204.572664  , 106859.55098685,\n",
       "        105548.76346449, 111989.77679666, 112214.94816686,\n",
       "        106309.80918448, 109264.7619052 , 106163.08466015,\n",
       "        110819.19955675, 114259.22406007]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "Attributes:\n",
       "    units:    P\n",
       "    source:   random data</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 11</li><li><span class='xr-has-index'>y</span>: 11</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-2ae1432b-45b8-4d0e-ad54-dac0fdac968f' class='xr-array-in' type='checkbox' checked><label for='section-2ae1432b-45b8-4d0e-ad54-dac0fdac968f' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>1.084e+05 1.105e+05 1.098e+05 ... 1.062e+05 1.108e+05 1.143e+05</span></div><div class='xr-array-data'><pre>array([[108413.36343659, 110493.23427273, 109769.94840081,\n",
       "        113546.23588356, 103181.20303329, 107021.39720362,\n",
       "        109965.56093441, 107984.09625469, 102981.2765376 ,\n",
       "        112073.36456538, 111314.81539685],\n",
       "       [106764.59280199, 102434.73185053, 105958.3176097 ,\n",
       "        115016.31613086, 107107.39366889, 107078.0908751 ,\n",
       "        105738.26541788, 111363.82175585, 112281.51412918,\n",
       "        113184.23948465, 110291.65121039],\n",
       "       [111308.99793514, 109957.96603048, 113029.62569425,\n",
       "        109662.65858558, 114592.37135178, 114860.1991135 ,\n",
       "        113389.58034631, 106101.80102463, 106533.92435968,\n",
       "        110780.17235379, 110696.83629726],\n",
       "       [108870.93144887, 107072.84715553, 108578.81062076,\n",
       "        108168.36268568, 105962.20719393, 113115.96599023,\n",
       "        111220.09450559, 110525.11634984, 110993.73242892,\n",
       "        113030.38937422, 109621.23676152],\n",
       "       [108022.34168668, 106006.82958017, 114543.54259113,\n",
       "        104314.70150708, 106234.30752885, 112010.34712609,\n",
       "        108925.79270062, 109514.15120956, 106843.60762947,\n",
       "        112207.68272795, 114484.04799351],\n",
       "...\n",
       "       [115076.6248769 , 109203.25089945, 115380.69268761,\n",
       "        111463.71125415, 109630.36971874, 110712.83402422,\n",
       "        107776.96228609, 107749.79979381, 109760.30447736,\n",
       "        110136.15808614, 115877.26209161],\n",
       "       [115143.59125056, 106853.24725397, 109554.43603732,\n",
       "        108012.23895115, 106905.08449596, 116904.98748628,\n",
       "        108554.54051682, 112076.02125111, 110173.98626517,\n",
       "        105313.42938316, 112780.30487503],\n",
       "       [103746.20140268, 109032.27634008, 103552.42914592,\n",
       "        109657.09788481, 111660.03901291, 105112.4042802 ,\n",
       "        111204.04837298, 112310.3029169 , 105047.61372043,\n",
       "        107759.84351468, 108704.65945636],\n",
       "       [109643.6598873 , 112680.06494161, 112570.45339547,\n",
       "        109037.18960709, 111021.89418049, 114934.52815642,\n",
       "        109779.61397221, 107134.02429326, 111278.36525656,\n",
       "        111563.22137175, 113282.1466573 ],\n",
       "       [107880.11248936, 108204.572664  , 106859.55098685,\n",
       "        105548.76346449, 111989.77679666, 112214.94816686,\n",
       "        106309.80918448, 109264.7619052 , 106163.08466015,\n",
       "        110819.19955675, 114259.22406007]])</pre></div></div></li><li class='xr-section-item'><input id='section-3dd9450b-ca4a-4d67-866d-cbf3c44c1dee' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3dd9450b-ca4a-4d67-866d-cbf3c44c1dee' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-02498e19-113a-426a-be2d-3f736661150f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-02498e19-113a-426a-be2d-3f736661150f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9ce121a4-7781-4d84-a666-71fb960e727c' class='xr-var-data-in' type='checkbox'><label for='data-9ce121a4-7781-4d84-a666-71fb960e727c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-12dd5778-747b-46d8-9974-0e53d2d791da' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-12dd5778-747b-46d8-9974-0e53d2d791da' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8abf0c86-2da3-4e49-84dc-452ec452a8cf' class='xr-var-data-in' type='checkbox'><label for='data-8abf0c86-2da3-4e49-84dc-452ec452a8cf' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-98d371c8-151e-4155-b53d-a7508fed396c' class='xr-section-summary-in' type='checkbox'  ><label for='section-98d371c8-151e-4155-b53d-a7508fed396c' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-447f3bbd-4a7e-4d43-b347-63162c647563' class='xr-index-data-in' type='checkbox'/><label for='index-447f3bbd-4a7e-4d43-b347-63162c647563' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-cec791cf-e31e-4351-9edf-b91022b60773' class='xr-index-data-in' type='checkbox'/><label for='index-cec791cf-e31e-4351-9edf-b91022b60773' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-5e886131-a7cf-4f1a-8e6a-348bc72be912' class='xr-section-summary-in' type='checkbox'  checked><label for='section-5e886131-a7cf-4f1a-8e6a-348bc72be912' class='xr-section-summary' >Attributes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>units :</span></dt><dd>P</dd><dt><span>source :</span></dt><dd>random data</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 11, y: 11)>\n",
       "array([[108413.36343659, 110493.23427273, 109769.94840081,\n",
       "        113546.23588356, 103181.20303329, 107021.39720362,\n",
       "        109965.56093441, 107984.09625469, 102981.2765376 ,\n",
       "        112073.36456538, 111314.81539685],\n",
       "       [106764.59280199, 102434.73185053, 105958.3176097 ,\n",
       "        115016.31613086, 107107.39366889, 107078.0908751 ,\n",
       "        105738.26541788, 111363.82175585, 112281.51412918,\n",
       "        113184.23948465, 110291.65121039],\n",
       "       [111308.99793514, 109957.96603048, 113029.62569425,\n",
       "        109662.65858558, 114592.37135178, 114860.1991135 ,\n",
       "        113389.58034631, 106101.80102463, 106533.92435968,\n",
       "        110780.17235379, 110696.83629726],\n",
       "       [108870.93144887, 107072.84715553, 108578.81062076,\n",
       "        108168.36268568, 105962.20719393, 113115.96599023,\n",
       "        111220.09450559, 110525.11634984, 110993.73242892,\n",
       "        113030.38937422, 109621.23676152],\n",
       "       [108022.34168668, 106006.82958017, 114543.54259113,\n",
       "        104314.70150708, 106234.30752885, 112010.34712609,\n",
       "        108925.79270062, 109514.15120956, 106843.60762947,\n",
       "        112207.68272795, 114484.04799351],\n",
       "...\n",
       "       [115076.6248769 , 109203.25089945, 115380.69268761,\n",
       "        111463.71125415, 109630.36971874, 110712.83402422,\n",
       "        107776.96228609, 107749.79979381, 109760.30447736,\n",
       "        110136.15808614, 115877.26209161],\n",
       "       [115143.59125056, 106853.24725397, 109554.43603732,\n",
       "        108012.23895115, 106905.08449596, 116904.98748628,\n",
       "        108554.54051682, 112076.02125111, 110173.98626517,\n",
       "        105313.42938316, 112780.30487503],\n",
       "       [103746.20140268, 109032.27634008, 103552.42914592,\n",
       "        109657.09788481, 111660.03901291, 105112.4042802 ,\n",
       "        111204.04837298, 112310.3029169 , 105047.61372043,\n",
       "        107759.84351468, 108704.65945636],\n",
       "       [109643.6598873 , 112680.06494161, 112570.45339547,\n",
       "        109037.18960709, 111021.89418049, 114934.52815642,\n",
       "        109779.61397221, 107134.02429326, 111278.36525656,\n",
       "        111563.22137175, 113282.1466573 ],\n",
       "       [107880.11248936, 108204.572664  , 106859.55098685,\n",
       "        105548.76346449, 111989.77679666, 112214.94816686,\n",
       "        106309.80918448, 109264.7619052 , 106163.08466015,\n",
       "        110819.19955675, 114259.22406007]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "Attributes:\n",
       "    units:    P\n",
       "    source:   random data"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pressure.attrs['units'] = 'P'\n",
    "pressure.attrs['source'] = 'random data'\n",
    "pressure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## File I/O"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "xarrays can be stored in NetCDF format, which can be used with many scientific and visualization software packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:49:51.697985Z",
     "start_time": "2019-07-03T08:49:51.680769Z"
    }
   },
   "outputs": [],
   "source": [
    "pressure.to_netcdf('pressure.nc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:52:16.632476Z",
     "start_time": "2019-07-03T08:52:16.482831Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pressure.nc  README.md\txarray_intro.ipynb\n"
     ]
    }
   ],
   "source": [
    "!ls"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To demonstrate that this is lossless, we remove the original xarray, and reinstantiate it from the NetCDF file that was saved to disk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:49:55.748236Z",
     "start_time": "2019-07-03T08:49:55.734300Z"
    }
   },
   "outputs": [],
   "source": [
    "del pressure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T08:50:20.413543Z",
     "start_time": "2019-07-03T08:50:20.356292Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 11, y: 11)&gt;\n",
       "[121 values with dtype=float64]\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "Attributes:\n",
       "    units:    P\n",
       "    source:   random data</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 11</li><li><span class='xr-has-index'>y</span>: 11</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-53da83c9-3e4c-4d36-87c7-d6f8782d40c7' class='xr-array-in' type='checkbox' checked><label for='section-53da83c9-3e4c-4d36-87c7-d6f8782d40c7' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>...</span></div><div class='xr-array-data'><pre>[121 values with dtype=float64]</pre></div></div></li><li class='xr-section-item'><input id='section-fb5300f2-e5cd-4642-8eae-233fef54c646' class='xr-section-summary-in' type='checkbox'  checked><label for='section-fb5300f2-e5cd-4642-8eae-233fef54c646' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-9e378103-ec68-46c7-8255-66aaa211ce22' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9e378103-ec68-46c7-8255-66aaa211ce22' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-71cd6e3a-bca7-4428-92ee-e29bb1f2cad4' class='xr-var-data-in' type='checkbox'><label for='data-71cd6e3a-bca7-4428-92ee-e29bb1f2cad4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.1 0.2 0.3 ... 0.7 0.8 0.9 1.0</div><input id='attrs-9adf108f-646d-468c-98bd-c5cc96705a58' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9adf108f-646d-468c-98bd-c5cc96705a58' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b1dd7785-4e0c-4465-bbb3-b3d378a9f48f' class='xr-var-data-in' type='checkbox'><label for='data-b1dd7785-4e0c-4465-bbb3-b3d378a9f48f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-9415a370-c814-43b2-8072-d3cd88d1223c' class='xr-section-summary-in' type='checkbox'  ><label for='section-9415a370-c814-43b2-8072-d3cd88d1223c' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-fd7608f7-7601-42e2-9dbe-001b46d4230b' class='xr-index-data-in' type='checkbox'/><label for='index-fd7608f7-7601-42e2-9dbe-001b46d4230b' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-04511769-5cd1-4047-80a5-58cdc660e9dd' class='xr-index-data-in' type='checkbox'/><label for='index-04511769-5cd1-4047-80a5-58cdc660e9dd' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.0,                 0.1,                 0.2,\n",
       "       0.30000000000000004,                 0.4,                 0.5,\n",
       "        0.6000000000000001,  0.7000000000000001,                 0.8,\n",
       "                       0.9,                 1.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-14293370-1099-41df-b133-8c4621aa9df6' class='xr-section-summary-in' type='checkbox'  checked><label for='section-14293370-1099-41df-b133-8c4621aa9df6' class='xr-section-summary' >Attributes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>units :</span></dt><dd>P</dd><dt><span>source :</span></dt><dd>random data</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 11, y: 11)>\n",
       "[121 values with dtype=float64]\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "  * y        (y) float64 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n",
       "Attributes:\n",
       "    units:    P\n",
       "    source:   random data"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pressure = xr.open_dataarray('pressure.nc')\n",
    "pressure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All metadata, including coordinates and attributes has been preserved."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numerical computations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Numerical operations are broadcasted along the dimensions, so to initialize a 2D array of complex numbers, we can simply initialize the real values as an xarray with dimension `re`, the imaginary values as an xarray with dimension `im`, and add the two 1D arrays to obtain a complex-valued 2D array."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T05:10:07.869657Z",
     "start_time": "2019-07-03T05:10:07.847281Z"
    }
   },
   "outputs": [],
   "source": [
    "real_vals = xr.DataArray(np.linspace(0.0, 1.0, 11), dims='re')\n",
    "im_vals = xr.DataArray(np.linspace(0.0j, 1.0j, 11), dims='im')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T05:10:33.039569Z",
     "start_time": "2019-07-03T05:10:32.986204Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (re: 11, im: 11)&gt;\n",
       "array([[0. +0.j , 0. +0.1j, 0. +0.2j, 0. +0.3j, 0. +0.4j, 0. +0.5j,\n",
       "        0. +0.6j, 0. +0.7j, 0. +0.8j, 0. +0.9j, 0. +1.j ],\n",
       "       [0.1+0.j , 0.1+0.1j, 0.1+0.2j, 0.1+0.3j, 0.1+0.4j, 0.1+0.5j,\n",
       "        0.1+0.6j, 0.1+0.7j, 0.1+0.8j, 0.1+0.9j, 0.1+1.j ],\n",
       "       [0.2+0.j , 0.2+0.1j, 0.2+0.2j, 0.2+0.3j, 0.2+0.4j, 0.2+0.5j,\n",
       "        0.2+0.6j, 0.2+0.7j, 0.2+0.8j, 0.2+0.9j, 0.2+1.j ],\n",
       "       [0.3+0.j , 0.3+0.1j, 0.3+0.2j, 0.3+0.3j, 0.3+0.4j, 0.3+0.5j,\n",
       "        0.3+0.6j, 0.3+0.7j, 0.3+0.8j, 0.3+0.9j, 0.3+1.j ],\n",
       "       [0.4+0.j , 0.4+0.1j, 0.4+0.2j, 0.4+0.3j, 0.4+0.4j, 0.4+0.5j,\n",
       "        0.4+0.6j, 0.4+0.7j, 0.4+0.8j, 0.4+0.9j, 0.4+1.j ],\n",
       "       [0.5+0.j , 0.5+0.1j, 0.5+0.2j, 0.5+0.3j, 0.5+0.4j, 0.5+0.5j,\n",
       "        0.5+0.6j, 0.5+0.7j, 0.5+0.8j, 0.5+0.9j, 0.5+1.j ],\n",
       "       [0.6+0.j , 0.6+0.1j, 0.6+0.2j, 0.6+0.3j, 0.6+0.4j, 0.6+0.5j,\n",
       "        0.6+0.6j, 0.6+0.7j, 0.6+0.8j, 0.6+0.9j, 0.6+1.j ],\n",
       "       [0.7+0.j , 0.7+0.1j, 0.7+0.2j, 0.7+0.3j, 0.7+0.4j, 0.7+0.5j,\n",
       "        0.7+0.6j, 0.7+0.7j, 0.7+0.8j, 0.7+0.9j, 0.7+1.j ],\n",
       "       [0.8+0.j , 0.8+0.1j, 0.8+0.2j, 0.8+0.3j, 0.8+0.4j, 0.8+0.5j,\n",
       "        0.8+0.6j, 0.8+0.7j, 0.8+0.8j, 0.8+0.9j, 0.8+1.j ],\n",
       "       [0.9+0.j , 0.9+0.1j, 0.9+0.2j, 0.9+0.3j, 0.9+0.4j, 0.9+0.5j,\n",
       "        0.9+0.6j, 0.9+0.7j, 0.9+0.8j, 0.9+0.9j, 0.9+1.j ],\n",
       "       [1. +0.j , 1. +0.1j, 1. +0.2j, 1. +0.3j, 1. +0.4j, 1. +0.5j,\n",
       "        1. +0.6j, 1. +0.7j, 1. +0.8j, 1. +0.9j, 1. +1.j ]])\n",
       "Dimensions without coordinates: re, im</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span>re</span>: 11</li><li><span>im</span>: 11</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-b086b7c0-8a2e-4d5d-8e78-1c59348ebade' class='xr-array-in' type='checkbox' checked><label for='section-b086b7c0-8a2e-4d5d-8e78-1c59348ebade' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0j 0.1j 0.2j 0.30000000000000004j ... (1+0.8j) (1+0.9j) (1+1j)</span></div><div class='xr-array-data'><pre>array([[0. +0.j , 0. +0.1j, 0. +0.2j, 0. +0.3j, 0. +0.4j, 0. +0.5j,\n",
       "        0. +0.6j, 0. +0.7j, 0. +0.8j, 0. +0.9j, 0. +1.j ],\n",
       "       [0.1+0.j , 0.1+0.1j, 0.1+0.2j, 0.1+0.3j, 0.1+0.4j, 0.1+0.5j,\n",
       "        0.1+0.6j, 0.1+0.7j, 0.1+0.8j, 0.1+0.9j, 0.1+1.j ],\n",
       "       [0.2+0.j , 0.2+0.1j, 0.2+0.2j, 0.2+0.3j, 0.2+0.4j, 0.2+0.5j,\n",
       "        0.2+0.6j, 0.2+0.7j, 0.2+0.8j, 0.2+0.9j, 0.2+1.j ],\n",
       "       [0.3+0.j , 0.3+0.1j, 0.3+0.2j, 0.3+0.3j, 0.3+0.4j, 0.3+0.5j,\n",
       "        0.3+0.6j, 0.3+0.7j, 0.3+0.8j, 0.3+0.9j, 0.3+1.j ],\n",
       "       [0.4+0.j , 0.4+0.1j, 0.4+0.2j, 0.4+0.3j, 0.4+0.4j, 0.4+0.5j,\n",
       "        0.4+0.6j, 0.4+0.7j, 0.4+0.8j, 0.4+0.9j, 0.4+1.j ],\n",
       "       [0.5+0.j , 0.5+0.1j, 0.5+0.2j, 0.5+0.3j, 0.5+0.4j, 0.5+0.5j,\n",
       "        0.5+0.6j, 0.5+0.7j, 0.5+0.8j, 0.5+0.9j, 0.5+1.j ],\n",
       "       [0.6+0.j , 0.6+0.1j, 0.6+0.2j, 0.6+0.3j, 0.6+0.4j, 0.6+0.5j,\n",
       "        0.6+0.6j, 0.6+0.7j, 0.6+0.8j, 0.6+0.9j, 0.6+1.j ],\n",
       "       [0.7+0.j , 0.7+0.1j, 0.7+0.2j, 0.7+0.3j, 0.7+0.4j, 0.7+0.5j,\n",
       "        0.7+0.6j, 0.7+0.7j, 0.7+0.8j, 0.7+0.9j, 0.7+1.j ],\n",
       "       [0.8+0.j , 0.8+0.1j, 0.8+0.2j, 0.8+0.3j, 0.8+0.4j, 0.8+0.5j,\n",
       "        0.8+0.6j, 0.8+0.7j, 0.8+0.8j, 0.8+0.9j, 0.8+1.j ],\n",
       "       [0.9+0.j , 0.9+0.1j, 0.9+0.2j, 0.9+0.3j, 0.9+0.4j, 0.9+0.5j,\n",
       "        0.9+0.6j, 0.9+0.7j, 0.9+0.8j, 0.9+0.9j, 0.9+1.j ],\n",
       "       [1. +0.j , 1. +0.1j, 1. +0.2j, 1. +0.3j, 1. +0.4j, 1. +0.5j,\n",
       "        1. +0.6j, 1. +0.7j, 1. +0.8j, 1. +0.9j, 1. +1.j ]])</pre></div></div></li><li class='xr-section-item'><input id='section-df9b11d6-5491-4b97-84f5-e49b0ea867e0' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-df9b11d6-5491-4b97-84f5-e49b0ea867e0' class='xr-section-summary'  title='Expand/collapse section'>Coordinates: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-8e06ef2c-f511-4883-87d6-20d1a1d0c5c4' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-8e06ef2c-f511-4883-87d6-20d1a1d0c5c4' class='xr-section-summary'  title='Expand/collapse section'>Indexes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-6ad4778d-7456-44bd-a430-a4dfae8c5723' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-6ad4778d-7456-44bd-a430-a4dfae8c5723' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (re: 11, im: 11)>\n",
       "array([[0. +0.j , 0. +0.1j, 0. +0.2j, 0. +0.3j, 0. +0.4j, 0. +0.5j,\n",
       "        0. +0.6j, 0. +0.7j, 0. +0.8j, 0. +0.9j, 0. +1.j ],\n",
       "       [0.1+0.j , 0.1+0.1j, 0.1+0.2j, 0.1+0.3j, 0.1+0.4j, 0.1+0.5j,\n",
       "        0.1+0.6j, 0.1+0.7j, 0.1+0.8j, 0.1+0.9j, 0.1+1.j ],\n",
       "       [0.2+0.j , 0.2+0.1j, 0.2+0.2j, 0.2+0.3j, 0.2+0.4j, 0.2+0.5j,\n",
       "        0.2+0.6j, 0.2+0.7j, 0.2+0.8j, 0.2+0.9j, 0.2+1.j ],\n",
       "       [0.3+0.j , 0.3+0.1j, 0.3+0.2j, 0.3+0.3j, 0.3+0.4j, 0.3+0.5j,\n",
       "        0.3+0.6j, 0.3+0.7j, 0.3+0.8j, 0.3+0.9j, 0.3+1.j ],\n",
       "       [0.4+0.j , 0.4+0.1j, 0.4+0.2j, 0.4+0.3j, 0.4+0.4j, 0.4+0.5j,\n",
       "        0.4+0.6j, 0.4+0.7j, 0.4+0.8j, 0.4+0.9j, 0.4+1.j ],\n",
       "       [0.5+0.j , 0.5+0.1j, 0.5+0.2j, 0.5+0.3j, 0.5+0.4j, 0.5+0.5j,\n",
       "        0.5+0.6j, 0.5+0.7j, 0.5+0.8j, 0.5+0.9j, 0.5+1.j ],\n",
       "       [0.6+0.j , 0.6+0.1j, 0.6+0.2j, 0.6+0.3j, 0.6+0.4j, 0.6+0.5j,\n",
       "        0.6+0.6j, 0.6+0.7j, 0.6+0.8j, 0.6+0.9j, 0.6+1.j ],\n",
       "       [0.7+0.j , 0.7+0.1j, 0.7+0.2j, 0.7+0.3j, 0.7+0.4j, 0.7+0.5j,\n",
       "        0.7+0.6j, 0.7+0.7j, 0.7+0.8j, 0.7+0.9j, 0.7+1.j ],\n",
       "       [0.8+0.j , 0.8+0.1j, 0.8+0.2j, 0.8+0.3j, 0.8+0.4j, 0.8+0.5j,\n",
       "        0.8+0.6j, 0.8+0.7j, 0.8+0.8j, 0.8+0.9j, 0.8+1.j ],\n",
       "       [0.9+0.j , 0.9+0.1j, 0.9+0.2j, 0.9+0.3j, 0.9+0.4j, 0.9+0.5j,\n",
       "        0.9+0.6j, 0.9+0.7j, 0.9+0.8j, 0.9+0.9j, 0.9+1.j ],\n",
       "       [1. +0.j , 1. +0.1j, 1. +0.2j, 1. +0.3j, 1. +0.4j, 1. +0.5j,\n",
       "        1. +0.6j, 1. +0.7j, 1. +0.8j, 1. +0.9j, 1. +1.j ]])\n",
       "Dimensions without coordinates: re, im"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vals = real_vals + im_vals\n",
    "vals"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although this can be done in numpy as well, it requires fiddling with extra dimensions, using xarrays this can be expressed quite naturally."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another example is the computation and representation of volume data. A 3D Gaussian function is computed over the domain $[-3 : 3, -3 : 3, -3 : 3]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T09:31:13.037884Z",
     "start_time": "2019-07-03T09:31:12.962198Z"
    }
   },
   "outputs": [],
   "source": [
    "x_coords = xr.DataArray(np.linspace(-3.0, 3.0, 101), dims='x')\n",
    "y_coords = xr.DataArray(np.linspace(-3.0, 3.0, 101), dims='y')\n",
    "z_coords = xr.DataArray(np.linspace(-3.0, 3.0, 101), dims='z')\n",
    "X, Y, Z = np.meshgrid(x_coords, y_coords, z_coords)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T09:32:55.971171Z",
     "start_time": "2019-07-03T09:32:55.945115Z"
    }
   },
   "outputs": [],
   "source": [
    "def gaussian(X, Y, Z):\n",
    "    return np.exp(-(X**2 + Y**2 + Z**2))/np.sqrt(2.0*np.pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T09:52:57.927742Z",
     "start_time": "2019-07-03T09:52:57.705829Z"
    }
   },
   "outputs": [],
   "source": [
    "values = xr.DataArray(gaussian(X, Y, Z), dims=('x', 'y', 'z'),\n",
    "                      coords=(x_coords, y_coords, z_coords))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T09:53:05.449075Z",
     "start_time": "2019-07-03T09:53:05.438796Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(101, 101, 101)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "values.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data can be exported to NetCDF for visualization with, e.g., ParaView or VisIt."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-07-03T09:53:57.493904Z",
     "start_time": "2019-07-03T09:53:57.415923Z"
    }
   },
   "outputs": [],
   "source": [
    "values.to_netcdf('gaussian.nc')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize two slices of the data volume, one along the $Z$-plane, the other along the $X$-plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, axes = plt.subplots(nrows=1, ncols=2, figsize=(10, 5))\n",
    "z_slice = values.sel(z=0.0)\n",
    "tick_locs = list(range(0, 101, 25))\n",
    "tick_vals = np.linspace(values.coords['x'].values[0], values.coords['y'].values[-1], 5)\n",
    "axes[0].imshow(z_slice, origin='lower', aspect='equal', cmap='coolwarm')\n",
    "axes[0].set_title('Z slice')\n",
    "axes[0].set_xlabel(z_slice.dims[0])\n",
    "axes[0].set_xticks(tick_locs)\n",
    "axes[0].set_xticklabels(f'{x:.1f}' for x in tick_vals)\n",
    "axes[0].set_ylabel(z_slice.dims[1])\n",
    "axes[0].set_yticks(tick_locs)\n",
    "axes[0].set_yticklabels(f'{x:.1f}' for x in tick_vals)\n",
    "x_slice = values.sel(x=0.0)\n",
    "axes[1].imshow(x_slice, origin='lower', aspect='equal', cmap='coolwarm')\n",
    "axes[1].set_title('X slice')\n",
    "axes[1].set_xlabel(x_slice.dims[0])\n",
    "axes[1].set_xticks(tick_locs)\n",
    "axes[1].set_xticklabels(f'{x:.1f}' for x in tick_vals)\n",
    "axes[1].set_ylabel(x_slice.dims[1])\n",
    "axes[1].set_yticks(tick_locs)\n",
    "axes[1].set_yticklabels(f'{x:.1f}' for x in tick_vals)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that labels and tick values are set according to information contained in the xarray representing the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interpolation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is straightforward to interpolate data for coordinates that are missing in the xarray, e.g.,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0002448162927385368"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(values.interp(x=np.pi/2.0, y=np.pi/2.0, z=np.pi/2.0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The interpolation is linear, and this function is highly non-linear, so the actual function values at the given point is different."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00024331787691818835"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gaussian(np.pi/2.0, np.pi/2.0, np.pi/2.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Interpolation can be done for an entire plane of 3D data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (y: 101, z: 101)&gt;\n",
       "array([[2.49746212e-11, 3.56682222e-11, 5.05751404e-11, ...,\n",
       "        5.05751404e-11, 3.56682222e-11, 2.49746212e-11],\n",
       "       [3.56682222e-11, 5.09405954e-11, 7.22303385e-11, ...,\n",
       "        7.22303385e-11, 5.09405954e-11, 3.56682222e-11],\n",
       "       [5.05751404e-11, 7.22303385e-11, 1.02417762e-10, ...,\n",
       "        1.02417762e-10, 7.22303385e-11, 5.05751404e-11],\n",
       "       ...,\n",
       "       [5.05751404e-11, 7.22303385e-11, 1.02417762e-10, ...,\n",
       "        1.02417762e-10, 7.22303385e-11, 5.05751404e-11],\n",
       "       [3.56682222e-11, 5.09405954e-11, 7.22303385e-11, ...,\n",
       "        7.22303385e-11, 5.09405954e-11, 3.56682222e-11],\n",
       "       [2.49746212e-11, 3.56682222e-11, 5.05751404e-11, ...,\n",
       "        5.05751404e-11, 3.56682222e-11, 2.49746212e-11]])\n",
       "Coordinates:\n",
       "  * y        (y) float64 -3.0 -2.94 -2.88 -2.82 -2.76 ... 2.82 2.88 2.94 3.0\n",
       "  * z        (z) float64 -3.0 -2.94 -2.88 -2.82 -2.76 ... 2.82 2.88 2.94 3.0\n",
       "    x        float64 2.344</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>y</span>: 101</li><li><span class='xr-has-index'>z</span>: 101</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-294e12ea-7f22-49d2-a8f6-16d3ace49cb6' class='xr-array-in' type='checkbox' checked><label for='section-294e12ea-7f22-49d2-a8f6-16d3ace49cb6' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>2.497e-11 3.567e-11 5.058e-11 ... 5.058e-11 3.567e-11 2.497e-11</span></div><div class='xr-array-data'><pre>array([[2.49746212e-11, 3.56682222e-11, 5.05751404e-11, ...,\n",
       "        5.05751404e-11, 3.56682222e-11, 2.49746212e-11],\n",
       "       [3.56682222e-11, 5.09405954e-11, 7.22303385e-11, ...,\n",
       "        7.22303385e-11, 5.09405954e-11, 3.56682222e-11],\n",
       "       [5.05751404e-11, 7.22303385e-11, 1.02417762e-10, ...,\n",
       "        1.02417762e-10, 7.22303385e-11, 5.05751404e-11],\n",
       "       ...,\n",
       "       [5.05751404e-11, 7.22303385e-11, 1.02417762e-10, ...,\n",
       "        1.02417762e-10, 7.22303385e-11, 5.05751404e-11],\n",
       "       [3.56682222e-11, 5.09405954e-11, 7.22303385e-11, ...,\n",
       "        7.22303385e-11, 5.09405954e-11, 3.56682222e-11],\n",
       "       [2.49746212e-11, 3.56682222e-11, 5.05751404e-11, ...,\n",
       "        5.05751404e-11, 3.56682222e-11, 2.49746212e-11]])</pre></div></div></li><li class='xr-section-item'><input id='section-bc9ba655-2e2a-49fc-98f5-8f9c801895b4' class='xr-section-summary-in' type='checkbox'  checked><label for='section-bc9ba655-2e2a-49fc-98f5-8f9c801895b4' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-3.0 -2.94 -2.88 ... 2.88 2.94 3.0</div><input id='attrs-d5e3ae19-1226-4cea-999e-8ea3ea52d2ee' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d5e3ae19-1226-4cea-999e-8ea3ea52d2ee' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5bebf37d-bf55-47a9-afc0-7c4cd26e20d9' class='xr-var-data-in' type='checkbox'><label for='data-5bebf37d-bf55-47a9-afc0-7c4cd26e20d9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-3.  , -2.94, -2.88, -2.82, -2.76, -2.7 , -2.64, -2.58, -2.52, -2.46,\n",
       "       -2.4 , -2.34, -2.28, -2.22, -2.16, -2.1 , -2.04, -1.98, -1.92, -1.86,\n",
       "       -1.8 , -1.74, -1.68, -1.62, -1.56, -1.5 , -1.44, -1.38, -1.32, -1.26,\n",
       "       -1.2 , -1.14, -1.08, -1.02, -0.96, -0.9 , -0.84, -0.78, -0.72, -0.66,\n",
       "       -0.6 , -0.54, -0.48, -0.42, -0.36, -0.3 , -0.24, -0.18, -0.12, -0.06,\n",
       "        0.  ,  0.06,  0.12,  0.18,  0.24,  0.3 ,  0.36,  0.42,  0.48,  0.54,\n",
       "        0.6 ,  0.66,  0.72,  0.78,  0.84,  0.9 ,  0.96,  1.02,  1.08,  1.14,\n",
       "        1.2 ,  1.26,  1.32,  1.38,  1.44,  1.5 ,  1.56,  1.62,  1.68,  1.74,\n",
       "        1.8 ,  1.86,  1.92,  1.98,  2.04,  2.1 ,  2.16,  2.22,  2.28,  2.34,\n",
       "        2.4 ,  2.46,  2.52,  2.58,  2.64,  2.7 ,  2.76,  2.82,  2.88,  2.94,\n",
       "        3.  ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-3.0 -2.94 -2.88 ... 2.88 2.94 3.0</div><input id='attrs-05dd61b2-a3c9-40f9-9f30-13ad44f7ce4f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-05dd61b2-a3c9-40f9-9f30-13ad44f7ce4f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5fa8ba20-6c97-4317-9471-d2797c5b89c5' class='xr-var-data-in' type='checkbox'><label for='data-5fa8ba20-6c97-4317-9471-d2797c5b89c5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-3.  , -2.94, -2.88, -2.82, -2.76, -2.7 , -2.64, -2.58, -2.52, -2.46,\n",
       "       -2.4 , -2.34, -2.28, -2.22, -2.16, -2.1 , -2.04, -1.98, -1.92, -1.86,\n",
       "       -1.8 , -1.74, -1.68, -1.62, -1.56, -1.5 , -1.44, -1.38, -1.32, -1.26,\n",
       "       -1.2 , -1.14, -1.08, -1.02, -0.96, -0.9 , -0.84, -0.78, -0.72, -0.66,\n",
       "       -0.6 , -0.54, -0.48, -0.42, -0.36, -0.3 , -0.24, -0.18, -0.12, -0.06,\n",
       "        0.  ,  0.06,  0.12,  0.18,  0.24,  0.3 ,  0.36,  0.42,  0.48,  0.54,\n",
       "        0.6 ,  0.66,  0.72,  0.78,  0.84,  0.9 ,  0.96,  1.02,  1.08,  1.14,\n",
       "        1.2 ,  1.26,  1.32,  1.38,  1.44,  1.5 ,  1.56,  1.62,  1.68,  1.74,\n",
       "        1.8 ,  1.86,  1.92,  1.98,  2.04,  2.1 ,  2.16,  2.22,  2.28,  2.34,\n",
       "        2.4 ,  2.46,  2.52,  2.58,  2.64,  2.7 ,  2.76,  2.82,  2.88,  2.94,\n",
       "        3.  ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>x</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.344</div><input id='attrs-675c5296-ab14-4624-b8bb-e88df202b281' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-675c5296-ab14-4624-b8bb-e88df202b281' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-70fcd1c6-74c8-4a8f-95ff-9a1a22fc72fd' class='xr-var-data-in' type='checkbox'><label for='data-70fcd1c6-74c8-4a8f-95ff-9a1a22fc72fd' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(2.34447213)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-aa3a671c-5347-4dcd-9265-7ce55b4c9eb3' class='xr-section-summary-in' type='checkbox'  ><label for='section-aa3a671c-5347-4dcd-9265-7ce55b4c9eb3' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-cd4d4f1f-9dd4-47c9-b427-79a84d7fab9b' class='xr-index-data-in' type='checkbox'/><label for='index-cd4d4f1f-9dd4-47c9-b427-79a84d7fab9b' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([              -3.0,              -2.94,              -2.88,\n",
       "                    -2.82,              -2.76,               -2.7,\n",
       "                    -2.64,              -2.58,              -2.52,\n",
       "                    -2.46,\n",
       "       ...\n",
       "                     2.46, 2.5199999999999996,               2.58,\n",
       "       2.6399999999999997,                2.7,               2.76,\n",
       "       2.8199999999999994,               2.88, 2.9399999999999995,\n",
       "                      3.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;, length=101))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>z</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-6d50cc0a-6060-4a6d-baa5-bd5c685e94c9' class='xr-index-data-in' type='checkbox'/><label for='index-6d50cc0a-6060-4a6d-baa5-bd5c685e94c9' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([              -3.0,              -2.94,              -2.88,\n",
       "                    -2.82,              -2.76,               -2.7,\n",
       "                    -2.64,              -2.58,              -2.52,\n",
       "                    -2.46,\n",
       "       ...\n",
       "                     2.46, 2.5199999999999996,               2.58,\n",
       "       2.6399999999999997,                2.7,               2.76,\n",
       "       2.8199999999999994,               2.88, 2.9399999999999995,\n",
       "                      3.0],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;z&#x27;, length=101))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-96a275ca-32ef-4836-8da8-322b26cbd675' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-96a275ca-32ef-4836-8da8-322b26cbd675' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (y: 101, z: 101)>\n",
       "array([[2.49746212e-11, 3.56682222e-11, 5.05751404e-11, ...,\n",
       "        5.05751404e-11, 3.56682222e-11, 2.49746212e-11],\n",
       "       [3.56682222e-11, 5.09405954e-11, 7.22303385e-11, ...,\n",
       "        7.22303385e-11, 5.09405954e-11, 3.56682222e-11],\n",
       "       [5.05751404e-11, 7.22303385e-11, 1.02417762e-10, ...,\n",
       "        1.02417762e-10, 7.22303385e-11, 5.05751404e-11],\n",
       "       ...,\n",
       "       [5.05751404e-11, 7.22303385e-11, 1.02417762e-10, ...,\n",
       "        1.02417762e-10, 7.22303385e-11, 5.05751404e-11],\n",
       "       [3.56682222e-11, 5.09405954e-11, 7.22303385e-11, ...,\n",
       "        7.22303385e-11, 5.09405954e-11, 3.56682222e-11],\n",
       "       [2.49746212e-11, 3.56682222e-11, 5.05751404e-11, ...,\n",
       "        5.05751404e-11, 3.56682222e-11, 2.49746212e-11]])\n",
       "Coordinates:\n",
       "  * y        (y) float64 -3.0 -2.94 -2.88 -2.82 -2.76 ... 2.82 2.88 2.94 3.0\n",
       "  * z        (z) float64 -3.0 -2.94 -2.88 -2.82 -2.76 ... 2.82 2.88 2.94 3.0\n",
       "    x        float64 2.344"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "values.interp(x=np.pi/1.34)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "toc-hr-collapsed": true
   },
   "source": [
    "## Combining data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Concatenate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `cnocatinate` function works similarly to what you would expect from numpy's counterpart. Two or more `DataArray`s are concatenated as in the following example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_vals = np.arange(0.0, 2.0*np.pi, 0.3)\n",
    "signal1 = xr.DataArray(np.cos(x_vals), dims=('x', ), coords=(x_vals.copy(), ))\n",
    "x_vals += 5.0*np.pi\n",
    "signal2 = xr.DataArray(np.cos(x_vals), dims=('x', ), coords=(x_vals.copy(), ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "signal = xr.concat((signal1, signal2), dim='x')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f7addc0c490>]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGwCAYAAACkfh/eAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA8I0lEQVR4nO3df3hU5Z338c8kQkZtcjSkyUxWxJRFMAR/JBgIFqtWQlCjaLfEH6S46+KS1SpFdi21NsRnaxZ3tdqqVH20VEKRbpFiVkwNVVAvAgFC0AillMYGYcZIgJlom4DJef7Ik5Fh8hMyv868X9c118WcuefkPhnH88n9vc99bKZpmgIAALCQuHB3AAAAYKgRcAAAgOUQcAAAgOUQcAAAgOUQcAAAgOUQcAAAgOUQcAAAgOWcEe4OhENnZ6cOHjyoxMRE2Wy2cHcHAAAMgGmaam1tVXp6uuLi+h6jicmAc/DgQY0cOTLc3QAAAKdg//79Ou+88/psE5MBJzExUVLXLygpKSnMvQEAAAPh9Xo1cuRI33m8LzEZcLrLUklJSQQcAACizECmlzDJGAAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWE5MrmQcLB2dpmobD6u5tU2piXblZiQrPo6beQIAEGpBHcF55513VFhYqPT0dNlsNv32t7/t9z0bN25UTk6O7Ha7vva1r+nnP/95QJvVq1crMzNTCQkJyszM1Jo1a4LQ+8GpanDp60ve0m0vbNb9r9Trthc26+tL3lJVgyvcXQMAIOYENeB8/vnnuuSSS/T0008PqH1jY6Ouu+46TZ06VTt27NAPfvAD3XfffVq9erWvTU1NjYqKilRcXKydO3equLhYs2bN0pYtW4J1GP2qanCppKJOLk+b33a3p00lFXWEHACIMR2dpmr2tWht/QHV7GtRR6c5oNcwdGymaYbkN2uz2bRmzRrNnDmz1zYPPvigXnvtNe3evdu3bd68edq5c6dqamokSUVFRfJ6vXrjjTd8bQoKCnTuuedq5cqVA+qL1+uVYRjyeDynfbPNjk5TX1/yVkC46WaT5DDseu/BayhXAUAMqGpwqaxyl995wWnYVVqYKUm9vlaQ5Qx5X6PNYM7fETXJuKamRvn5+X7bpk+frm3btun48eN9ttm0aVOv+21vb5fX6/V7DJXaxsO9hhtJMiW5PG2qbTw8ZD8TABCZ+hrRn1dRp3mM9odMRAUct9uttLQ0v21paWn64osvdOjQoT7buN3uXvdbXl4uwzB8j5EjRw5Zn5tbew83p9IOABCdOjpNlVXuUk9lkb5KJd2vlVXuolw1hCIq4EhdpawTdVfQTtzeU5uTt51o0aJF8ng8vsf+/fuHrL+pifYhbQcAiE79jej3hdH+oRdRl4k7HI6AkZjm5madccYZGjFiRJ9tTh7VOVFCQoISEhKGvsOScjOS5TTscnvaekzoNklpSQnqNE2trT/A5eMWw9IAALoNxUg9o/1DJ6ICTl5eniorK/22vfnmm5o4caKGDRvma1NdXa3vfe97fm2mTJkS0r52i4+zqbQwUyUVdbLJfxiy+3nbF5264/9+eZUXE8qsoa+JhHy2QOwZipF6RvuHTlBLVJ999pnq6+tVX18vqesy8Pr6ejU1NUnqKh195zvf8bWfN2+e/vKXv2jBggXavXu3XnrpJb344otauHChr83999+vN998U0uWLNEf/vAHLVmyROvXr9f8+fODeSh9KshyaunsbDkM//8wjbO6QtnRvx73286EsujH0gAATtY9on8qY7g2df2BlJuRPNTdillBvUx8w4YNuvrqqwO2z5kzR8uWLdOdd96pjz76SBs2bPC9tnHjRn3ve9/Thx9+qPT0dD344IOaN2+e3/t/85vf6Ic//KH+/Oc/a/To0frxj3+sW265ZcD9GsrLxE90Yrki5ewEPfA/O+X2cvm41bA0AIDedP/xI/U8on/yv7ufS9LS2dmM/vZjMOfvkK2DE0mCFXBOVLOvRbe9sLnfdivnTlbe6BFB6QOCg88WQF9YByd4BnP+jqg5OFbC5ePWxWcLoC8FWU5Ny3T0egFCX69h6BBwgoTLx62LzxZAf+LjbL2O4Pb1GoZOxK2DYxX9TTZjQln04rMFgMhHwAmS7svHJQWcCLuflxZmMiwZhfhsASDyEXCCqLfLxx2GndnyUY7PFoDEncEjGVdRBekqqhOx2q118dkCsWuoF/vk/yf94zLxfoQ64AAArKV7vZuTT6CnuqYNK6MPzGDO35SoAAAYhIHcNXwwdwZnZfTgIOAAADAI/d01fDB3Bh/qsIQvEXAAABiEoVzscyjDEvwRcAAAGIShXOyTldGDh4ADAMAgDOVin6yMHjwEHAAABmEoF/tkZfTgIeAAADBIQ7XYJyujBw/r4LAODgDgFA3V4nysgzMwLPTXDwIOACDSsJJx/wZz/j4jRH0Cohb/0wEQCvFxNuWNHhHublgGASeMOHFGPoaNASA6EXDChBNn5OvtXjPdy6dz13AAiFxcRRUG3Hck8rF8OgBENwJOiHHijA4snw4A0Y2AE2KcOKMDy6cDQHQj4IQYJ87owPLpABDdCDghxokzOrB8OgBENwJOiHHijA4snw4A0Y2AE2KcOKPHUN1rBgAQetyqIUy3amAdnOjBgowAEBm4F1U/IiHgSJw4AQAYDO5FFSW47wgAAMHBHBwAAGA5BBwAAGA5IQk4zz77rDIyMmS325WTk6N3332317Z33nmnbDZbwGP8+PG+NsuWLeuxTVsbi+MBAIAQBJxVq1Zp/vz5euihh7Rjxw5NnTpVM2bMUFNTU4/tn3rqKblcLt9j//79Sk5O1re//W2/dklJSX7tXC6X7HYWxwMADL2OTlM1+1q0tv6Aava1cL/AKBD0ScZPPPGE7rrrLv3zP/+zJOnJJ5/U7373Oy1dulTl5eUB7Q3DkGEYvue//e1vdeTIEf3jP/6jXzubzSaHwxHczgMAYh7LekSnoI7gHDt2TNu3b1d+fr7f9vz8fG3atGlA+3jxxRd17bXXatSoUX7bP/vsM40aNUrnnXeebrjhBu3YsaPXfbS3t8vr9fo9AADoT1WDSyUVdQE3SXZ72lRSUaeqBlfQ+8Do0akJ6gjOoUOH1NHRobS0NL/taWlpcrvd/b7f5XLpjTfe0K9+9Su/7ePGjdOyZcs0YcIEeb1ePfXUU7riiiu0c+dOjRkzJmA/5eXlKisrO72DAQDElI5OU2WVu9RTnDDVtfp8WeUuTct0BG0NM0aPTl1IJhnbbP4fvGmaAdt6smzZMp1zzjmaOXOm3/bJkydr9uzZuuSSSzR16lT9+te/1oUXXqif/exnPe5n0aJF8ng8vsf+/ftP+VgAALGhtvFwwMjNiUxJLk+bahsPB+XnR8LoUTQL6ghOSkqK4uPjA0ZrmpubA0Z1Tmaapl566SUVFxdr+PDhfbaNi4vT5Zdfrr179/b4ekJCghISEgbXeQBATGtuHdiVuQNtNxiRMHoU7YI6gjN8+HDl5OSourrab3t1dbWmTJnS53s3btyoP/3pT7rrrrv6/Tmmaaq+vl5OJ8N1AIChkZo4sCtzB9puMMI9emQFQb+KasGCBSouLtbEiROVl5en559/Xk1NTZo3b56krvLRgQMH9PLLL/u978UXX9SkSZOUlZUVsM+ysjJNnjxZY8aMkdfr1U9/+lPV19frmWeeCfbhAABiRG5GspyGXW5PW48jKTZJDqPrPoJDLZyjR1YR9IBTVFSklpYWPfLII3K5XMrKytK6det8V0W5XK6ANXE8Ho9Wr16tp556qsd9Hj16VHfffbfcbrcMw9Bll12md955R7m5ucE+HABAjIiPs6m0MFMlFXWySX4hp7soVFqYGZQSUThHj6yCu4mH8W7iAIDIF44rmTo6TX19yVv9jh699+A1MTUHh7uJAwAwRAqynJqW6VBt42E1t7YpNbGrLBXMYBHO0SOrYASHERwAQIRiHRx/jOAAAGAB4Rg9sgoCDgAAESw+zqa80SPC3Y2oE5KVjAEAAEKJgAMAACyHgAMAACyHOTjA/9fRaTKRDwAsgoADiEsxAcBqKFFFqI5OUzX7WrS2/oBq9rWoozPmlisKmaoGl0oq6gJubOf2tKmkok5VDa4w9QwAcKoYwYlAjCaETkenqbLKXT0uhW6qa8XQsspdmpbpoFwFAFGEEZwIw2hCaNU2Hg74XZ/IlOTytKm28XDoOgUAOG0EnAjS32iC1DWaQLlq6DS39h5uTqUdACAyEHAiCKMJoZeaaB/SdgCAyEDAiSCMJoRebkaynIZdvc2usalr/lNuRnIouwUAOE0EnAjCaELoxcfZVFqYKUkBIaf7eWlhJhOMASDKEHAiCKMJ4VGQ5dTS2dlyGP7B0WHYtXR2NleuAUAU4jLxCNI9mlBSUSeb5DfZmNGE4CrIcmpapoOVjAHAImymacbcJTler1eGYcjj8SgpKSnc3QnAOjgAAAQazPmbEZwIxGgCAACnh4AToeLjbMobPSLc3QAAICoxyRgAAFgOAQcAAFgOAQcAAFgOAQcAAFgOAQcAAFgOAQcAAFgOAQcAAFgOAQcAAFgOC/0BAPD/dXSarCJvEQQcAADEfQCtJiQlqmeffVYZGRmy2+3KycnRu+++22vbDRs2yGazBTz+8Ic/+LVbvXq1MjMzlZCQoMzMTK1ZsybYhwEAsKiqBpdKKur8wo0kuT1tKqmoU1WDK0w9w6kKesBZtWqV5s+fr4ceekg7duzQ1KlTNWPGDDU1NfX5vj179sjlcvkeY8aM8b1WU1OjoqIiFRcXa+fOnSouLtasWbO0ZcuWYB8OAMBiOjpNlVXuktnDa93byip3qaOzpxbh09FpqmZfi9bWH1DNvpaI61+42UzTDOpvZNKkScrOztbSpUt92y666CLNnDlT5eXlAe03bNigq6++WkeOHNE555zT4z6Liork9Xr1xhtv+LYVFBTo3HPP1cqVK/vt02Butw4AsLaafS267YXN/bZbOXdyxNwEOVbLaYM5fwd1BOfYsWPavn278vPz/bbn5+dr06ZNfb73sssuk9Pp1De/+U29/fbbfq/V1NQE7HP69Om97rO9vV1er9fvAQCAJDW3tvXfaBDtgo1y2sAENeAcOnRIHR0dSktL89uelpYmt9vd43ucTqeef/55rV69Wq+++qrGjh2rb37zm3rnnXd8bdxu96D2WV5eLsMwfI+RI0ee5pEBAKwiNdE+pO2CKVrLaeEQkquobDb/S+xM0wzY1m3s2LEaO3as73leXp7279+v//7v/9aVV155SvtctGiRFixY4Hvu9XoJOQAASVJuRrKchl1uT1uPwcEmyWF0XTIebrWNhwNGbk5kSnJ52lTbeDhiymnhEtQRnJSUFMXHxweMrDQ3NweMwPRl8uTJ2rt3r++5w+EY1D4TEhKUlJTk9wAAQJLi42wqLcyU1BVmTtT9vLQwMyLWw4m2clo4BTXgDB8+XDk5OaqurvbbXl1drSlTpgx4Pzt27JDT+eWkqby8vIB9vvnmm4PaJwAA3QqynFo6O1sOw78M5TDsWjo7O2Im7kZTOS3cgl6iWrBggYqLizVx4kTl5eXp+eefV1NTk+bNmyepq3x04MABvfzyy5KkJ598UhdccIHGjx+vY8eOqaKiQqtXr9bq1at9+7z//vt15ZVXasmSJbrpppu0du1arV+/Xu+9916wDwcAYFEFWU5Ny3RE9ErG0VROC7egB5yioiK1tLTokUcekcvlUlZWltatW6dRo0ZJklwul9+aOMeOHdPChQt14MABnXnmmRo/frxef/11XXfddb42U6ZM0SuvvKIf/vCHevjhhzV69GitWrVKkyZNCvbhAAAsLD7OFtFzV7rLaSUVdbJJfiEn0spp4Rb0dXAiEevgAACiGevg9H/+5l5UAABEmWgop4UbAQcAgCgU6eW0cAvJzTYBAABCiYADAAAsh4ADAAAsh4ADAAAsh4ADAAAsh4ADAAAsh8vEEXM6Ok3WjgAAiyPgIKbE6uqfABBrKFEhZlQ1uFRSUecXbiTJ7WlTSUWdqhpcYeoZAGCoEXCiTEenqZp9LVpbf0A1+1rU0RlztxI7JR2dpsoqd/V4993ubWWVu/h9AoBFUKKKIpRXTl1t4+GAkZsTmZJcnjbVNh5m6XMAsABGcKIE5ZXT09zae7g5lXYAgMhGwIkClFdOX2qifUjbAQAiGwEnCgymvIKe5WYky2nY1dvF4DZ1lftyM5JD2S0AQJAQcKIA5ZXTFx9nU2lhpiQFhJzu56WFmayHAwAWQcCJApRXhkZBllNLZ2fLYfj/nhyGXUtnZzNRGwAshKuookB3ecXtaetxHo5NXSdpyiv9K8hyalqmg5WMAcDiCDhRoLu8UlJRJ5vkF3IorwxefJyNS8EBwOIoUUUJyisAAAwcIzhRhPIKAAADQ8CJMpRXAADoHyUqAABgOQQcAABgOQQcAABgOQQcAABgOQQcAABgOQQcAABgOQQcAABgOQQcAABgOSEJOM8++6wyMjJkt9uVk5Ojd999t9e2r776qqZNm6avfvWrSkpKUl5enn73u9/5tVm2bJlsNlvAo62tLdiHAgAAokDQA86qVas0f/58PfTQQ9qxY4emTp2qGTNmqKmpqcf277zzjqZNm6Z169Zp+/btuvrqq1VYWKgdO3b4tUtKSpLL5fJ72O32HvcJAABii800TbP/Zqdu0qRJys7O1tKlS33bLrroIs2cOVPl5eUD2sf48eNVVFSkH/3oR5K6RnDmz5+vo0ePnlKfvF6vDMOQx+NRUlLSKe0DAACE1mDO30EdwTl27Ji2b9+u/Px8v+35+fnatGnTgPbR2dmp1tZWJScn+23/7LPPNGrUKJ133nm64YYbAkZ4TtTe3i6v1+v3AADEro5OUzX7WrS2/oBq9rWoozOof+sjDIJ6s81Dhw6po6NDaWlpftvT0tLkdrsHtI/HH39cn3/+uWbNmuXbNm7cOC1btkwTJkyQ1+vVU089pSuuuEI7d+7UmDFjAvZRXl6usrKy0zsYAIAlVDW4VFa5Sy7Pl/M2nYZdpYWZKshyhrFnGEohmWRss9n8npumGbCtJytXrtTixYu1atUqpaam+rZPnjxZs2fP1iWXXKKpU6fq17/+tS688EL97Gc/63E/ixYtksfj8T32799/egcEAIhKVQ0ulVTU+YUbSXJ72lRSUaeqBleYeoahFtQRnJSUFMXHxweM1jQ3NweM6pxs1apVuuuuu/Q///M/uvbaa/tsGxcXp8svv1x79+7t8fWEhAQlJCQMrvMAAEvp6DRVVrlLPRWjTEk2SWWVuzQt06H4uP7/CI9kHZ2mahsPq7m1TamJduVmJEf9MQ1WUAPO8OHDlZOTo+rqat18882+7dXV1brpppt6fd/KlSv1T//0T1q5cqWuv/76fn+OaZqqr6/XhAkThqTfAADrqW08HDBycyJTksvTptrGw8obPSJ0HRtilOC6BDXgSNKCBQtUXFysiRMnKi8vT88//7yampo0b948SV3lowMHDujll1+W1BVuvvOd7+ipp57S5MmTfaM/Z555pgzDkCSVlZVp8uTJGjNmjLxer37605+qvr5ezzzzTLAPBwAQpZpbB7ZW2kDbRaLuEtzJo1TdJbils7NjJuQEPeAUFRWppaVFjzzyiFwul7KysrRu3TqNGjVKkuRyufzWxHnuuef0xRdf6J577tE999zj2z5nzhwtW7ZMknT06FHdfffdcrvdMgxDl112md555x3l5uYG+3AAAFEqNXFga6UNtF2kiaUS3EAEfR2cSMQ6OAAQezo6TX19yVtye9p6DAE2SQ7DrvcevCYqA0DNvhbd9sLmftutnDs5aktwEbMODgAAkSI+zqbSwkxJXWHmRN3PSwszozLcSLFRghsMAg4AIGYUZDm1dHa2HIZ/Gcph2KN+forVS3CDFfQ5OAAARJKCLKemZTosdxl1bkaynIa93xJcbkZyD69aDwEHABBz4uNsUTsPpTfdJbiSijrZJL+QY4US3GBRogIAwCKsXIIbLEZwAACwEKuW4AaLgAMAgMVYsQQ3WJSoAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5bDQHyyro9OM+ZU8ASBWEXBgSVUNLpVV7pLL0+bb5jTsKi3MjKl7sQBArKJEBcupanCppKLOL9xIktvTppKKOlU1uMLUMwBAqBBwLKKj01TNvhatrT+gmn0t6ug0w92lsOjoNFVWuUs9HX33trLKXTH7+wGAWEGJygIox3yptvFwwMjNiUxJLk+bahsPx/yN6ADAyhjBiXKUY/w1t/Yebk6lHQAgOhFwohjlmECpifYhbQcAiE4EnCg2mHJMrMjNSJbTsKu3i8Ft6irf5WYkh7JbAIAQI+BEMcoxgeLjbCotzJSkgJDT/by0MJP1cADA4gg4UYxyTM8KspxaOjtbDsP/uB2GXUtnZ8fcxGsAiEVcRRXFussxbk9bj/NwbOo6qcdiOaYgy6lpmQ5WMgaAGEXAiWLd5ZiSijrZJL+QQzmm6/fDpeAAEJsoUUU5yjEAAARiBMcCKMcAAOCPgGMRlGMAAPgSJSoAAGA5IQk4zz77rDIyMmS325WTk6N33323z/YbN25UTk6O7Ha7vva1r+nnP/95QJvVq1crMzNTCQkJyszM1Jo1a4LVfQAAEGWCHnBWrVql+fPn66GHHtKOHTs0depUzZgxQ01NTT22b2xs1HXXXaepU6dqx44d+sEPfqD77rtPq1ev9rWpqalRUVGRiouLtXPnThUXF2vWrFnasmVLsA8HAABEAZtpmkG9UdGkSZOUnZ2tpUuX+rZddNFFmjlzpsrLywPaP/jgg3rttde0e/du37Z58+Zp586dqqmpkSQVFRXJ6/XqjTfe8LUpKCjQueeeq5UrV/bbJ6/XK8Mw5PF4lJSUdDqHBwAAQmQw5++gjuAcO3ZM27dvV35+vt/2/Px8bdq0qcf31NTUBLSfPn26tm3bpuPHj/fZprd9tre3y+v1+j0AAIB1BTXgHDp0SB0dHUpLS/PbnpaWJrfb3eN73G53j+2/+OILHTp0qM82ve2zvLxchmH4HiNHjjzVQwIAAFEgJJOMbTb/9VhM0wzY1l/7k7cPZp+LFi2Sx+PxPfbv3z+o/gMAgOgS1HVwUlJSFB8fHzCy0tzcHDAC083hcPTY/owzztCIESP6bNPbPhMSEpSQkHCqhwEAAKJMUEdwhg8frpycHFVXV/ttr66u1pQpU3p8T15eXkD7N998UxMnTtSwYcP6bNPbPgEAQGwJ+krGCxYsUHFxsSZOnKi8vDw9//zzampq0rx58yR1lY8OHDigl19+WVLXFVNPP/20FixYoLlz56qmpkYvvvii39VR999/v6688kotWbJEN910k9auXav169frvffeC/bhAACAKBD0gFNUVKSWlhY98sgjcrlcysrK0rp16zRq1ChJksvl8lsTJyMjQ+vWrdP3vvc9PfPMM0pPT9dPf/pTfetb3/K1mTJlil555RX98Ic/1MMPP6zRo0dr1apVmjRpUrAPBwAARIGgr4MTiVgHBwCA6DOY8zc32wQAWFJHp6naxsNqbm1TaqJduRnJio/r/QpeWAsBBwBgOVUNLpVV7pLL0+bb5jTsKi3MVEGWM4w9Q6hwN3EAgKVUNbhUUlHnF24kye1pU0lFnaoaXGHqGUKJgAMAsIyOTlNllbvU0+TS7m1llbvU0Rlz008ldf1+ava1aG39AdXsa7H074ESFQDAMmobDweM3JzIlOTytKm28bDyRo8IXcciQKyV7RjBAQBYRnNr7+HmVNpZRSyW7Qg4AADLSE20D2k7K4jVsh0BBwBgGbkZyXIadvV2MbhNXWWZ3IzkUHYrrAZTtrMSAg4AwDLi42wqLcyUpICQ0/28tDAzptbDidWyHQEHAGApBVlOLZ2dLYfhX4ZyGHYtnZ1tyQm1fYnVsh1XUQEALKcgy6lpmQ5WMtaXZTu3p63HeTg2dYU/q5XtCDgAAEuKj7PF3KXgPeku25VU1Mkm+YUcK5ftKFEBAGBxsVi2YwQHAIAYEGtlOwIOAAAxIpbKdpSoAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5bDQH6JaR6cZM6tyAgAGjoCDqFXV4FJZ5S65PG2+bU7DrtLCTEveVwUAMHCUqBCVqhpcKqmo8ws3kuT2tKmkok5VDa4w9QwAEAkIOBbX0WmqZl+L1tYfUM2+FnV0muHu0mnr6DRVVrlLPR1J97ayyl2WOFYAwKmhRGVhVi3h1DYeDhi5OZEpyeVpU23j4Zi5qRwAwB8jOBZl5RJOc2vv4eZU2gEArIeAY0FWL+GkJtqHtB0AwHoIOBY0mBJONMrNSJbTsKu3i8Ft6irF5WYkh7JbAIAIEtSAc+TIERUXF8swDBmGoeLiYh09erTX9sePH9eDDz6oCRMm6Oyzz1Z6erq+853v6ODBg37trrrqKtlsNr/HrbfeGsxDiSpWL+HEx9lUWpgpSQEhp/t5aWEm6+EAQAwLasC5/fbbVV9fr6qqKlVVVam+vl7FxcW9tv/rX/+quro6Pfzww6qrq9Orr76qP/7xj7rxxhsD2s6dO1cul8v3eO6554J5KFElFko4BVlOLZ2dLYfhfwwOw66ls7OjehI1AOD0Be0qqt27d6uqqkqbN2/WpEmTJEkvvPCC8vLytGfPHo0dOzbgPYZhqLq62m/bz372M+Xm5qqpqUnnn3++b/tZZ50lh8MRrO5Hte4SjtvT1uM8HJu6gkC0l3AKspyalulgJWMAQICgjeDU1NTIMAxfuJGkyZMnyzAMbdq0acD78Xg8stlsOuecc/y2r1ixQikpKRo/frwWLlyo1tbWXvfR3t4ur9fr97CyWCrhxMfZlDd6hG669O+UN3qEJY4JAHD6ghZw3G63UlNTA7anpqbK7XYPaB9tbW36/ve/r9tvv11JSUm+7XfccYdWrlypDRs26OGHH9bq1at1yy239Lqf8vJy3zwgwzA0cuTIwR9QlKGEAwCIZYMuUS1evFhlZWV9ttm6daskyWYL/GvaNM0et5/s+PHjuvXWW9XZ2alnn33W77W5c+f6/p2VlaUxY8Zo4sSJqqurU3Z2dsC+Fi1apAULFviee73emAk5lHAAALFo0AHn3nvv7feKpQsuuEDvv/++Pvnkk4DXPv30U6WlpfX5/uPHj2vWrFlqbGzUW2+95Td605Ps7GwNGzZMe/fu7THgJCQkKCEhoc99WFV3CQcAgFgy6ICTkpKilJSUftvl5eXJ4/GotrZWubm5kqQtW7bI4/FoypQpvb6vO9zs3btXb7/9tkaM6P/k/OGHH+r48eNyOim7AACAIM7Bueiii1RQUKC5c+dq8+bN2rx5s+bOnasbbrjB7wqqcePGac2aNZKkL774Qv/wD/+gbdu2acWKFero6JDb7Zbb7daxY8ckSfv27dMjjzyibdu26aOPPtK6dev07W9/W5dddpmuuOKKYB0OAACIIkFdB2fFihWaMGGC8vPzlZ+fr4svvljLly/3a7Nnzx55PB5J0scff6zXXntNH3/8sS699FI5nU7fo/vKq+HDh+v3v/+9pk+frrFjx+q+++5Tfn6+1q9fr/j4+GAeDgAAiBI20zSj84ZEp8Hr9cowDHk8nn7n9wAAgMgwmPM396ICAACWQ8ABAACWQ8ABAACWQ8ABAACWQ8ABAACWQ8ABAACWQ8ABAACWM+hbNQAAEEk6Ok1uKowABBwAQNSqanCprHKXXJ423zanYVdpYaYKsrg/YSyjRAUAiEpVDS6VVNT5hRtJcnvaVFJRp6oGV5h6Fn06Ok3V7GvR2voDqtnXoo7O6L/JASM4AICo09Fpqqxyl3o6DZuSbJLKKndpWqaDclU/rDoKxggOACDq1DYeDhi5OZEpyeVpU23j4dB1KgpZeRSMgAMAiDrNrb2Hm1NpF4v6GwWTukbBorVcRcABAESd1ET7kLaLRVYfBSPgAACiTm5GspyGXb3NrrGpax5JbkZyKLsVVaw+CkbAAQBEnfg4m0oLMyUpIOR0Py8tzGSCcR+sPgpGwAEARKWCLKeWzs6Ww/A/ATsMu5bOzo7qK4BCweqjYFwmDgCIWgVZTk3LdLCS8SnoHgUrqaiTTfKbbGyFUTCbaZrROT36NHi9XhmGIY/Ho6SkpHB3BwCAsImmdXAGc/5mBAcAgBhm1VEwAg4AADEuPs6mvNEjwt2NIcUkYwAAYDkEHAAAYDkEHAAAYDkEHAAAYDkEHAAAYDkEHAAAYDkEHAAAYDmsg4Oo0NFpWm4RKgBA8BBwEPGiaRlxAEBkoESFiFbV4FJJRZ1fuJEkt6dNJRV1qmpwhalnAIBIFtSAc+TIERUXF8swDBmGoeLiYh09erTP99x5552y2Wx+j8mTJ/u1aW9v13e/+12lpKTo7LPP1o033qiPP/44iEdiTR2dpmr2tWht/QHV7GtRR2dk3Xe1o9NUWeUu9dSr7m1llbsirt8AgPALaonq9ttv18cff6yqqipJ0t13363i4mJVVlb2+b6CggL94he/8D0fPny43+vz589XZWWlXnnlFY0YMUIPPPCAbrjhBm3fvl3x8fFDfyAWFA1ln9rGwwEjNycyJbk8baptPGy5e6gAAE5P0ALO7t27VVVVpc2bN2vSpEmSpBdeeEF5eXnas2ePxo4d2+t7ExIS5HA4enzN4/HoxRdf1PLly3XttddKkioqKjRy5EitX79e06dPH/qDsZjuss/J4x7dZZ+ls7MjIuQ0t/Yebk6lHQAgdgStRFVTUyPDMHzhRpImT54swzC0adOmPt+7YcMGpaam6sILL9TcuXPV3Nzse2379u06fvy48vPzfdvS09OVlZXV637b29vl9Xr9HrEqmso+qYn2IW0HAIgdQQs4brdbqampAdtTU1Pldrt7fd+MGTO0YsUKvfXWW3r88ce1detWXXPNNWpvb/ftd/jw4Tr33HP93peWltbrfsvLy33zgAzD0MiRI0/jyKLbYMo+4ZabkSynYVdvF4Pb1FVWy81IDmW3AABRYNABZ/HixQGTgE9+bNu2TZJkswWemkzT7HF7t6KiIl1//fXKyspSYWGh3njjDf3xj3/U66+/3me/+trvokWL5PF4fI/9+/cP4oitJZrKPvFxNpUWZkpSQMjpfl5amMl6OACAAIOeg3Pvvffq1ltv7bPNBRdcoPfff1+ffPJJwGuffvqp0tLSBvzznE6nRo0apb1790qSHA6Hjh07piNHjviN4jQ3N2vKlCk97iMhIUEJCQkD/plWFm1ln4Isp5bOzg6YEO2IsAnRAIDIMuiAk5KSopSUlH7b5eXlyePxqLa2Vrm5uZKkLVu2yOPx9BpEetLS0qL9+/fL6ew6keXk5GjYsGGqrq7WrFmzJEkul0sNDQ167LHHBns4Mae77OP2tPU4D8emrvAQSWWfgiynpmU6WMkYADBgQZuDc9FFF6mgoEBz587V5s2btXnzZs2dO1c33HCD3xVU48aN05o1ayRJn332mRYuXKiamhp99NFH2rBhgwoLC5WSkqKbb75ZkmQYhu666y498MAD+v3vf68dO3Zo9uzZmjBhgu+qKvQuWss+8XE25Y0eoZsu/TvljR4Rcf0DAESWoC70t2LFCk2YMEH5+fnKz8/XxRdfrOXLl/u12bNnjzwejyQpPj5eH3zwgW666SZdeOGFmjNnji688ELV1NQoMTHR956f/OQnmjlzpmbNmqUrrrhCZ511liorK1kDZ4C6yz4Ow78M5TDsEXOJOAAAp8Nmmmb4rwcOMa/XK8Mw5PF4lJSUFO7uhA03sAQARJPBnL+52WYM6y77AABgNdxsEwAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWA4BBwAAWA7r4AAAogKLk2IwCDgAgIhX1eBSWeUuuTxtvm1Ow67SwkxuL4MeUaICAES0qgaXSirq/MKNJLk9bSqpqFNVgytMPUMkI+AAACJWR6epsspd6ummid3byip3qaMz5m6rGBIdnaZq9rVobf0B1exriarfMyUqAEDEqm08HDBycyJTksvTptrGw9xbb4hFe1mQERwAQMRqbu093JxKOwyMFcqCBBwAQMRKTbQPaTv0zyplQQIOACBi5WYky2nY1dvF4DZ1lU1yM5JD2S1LG0xZMJIRcAAAESs+zqbSwkxJCgg53c9LCzNZD2cIWaUsSMABAES0giynls7OlsPwL0M5DLuWzs6Oigmv0cQqZUGuogIARLyCLKemZTpYyTgEusuCbk9bj/NwbOoKl5FeFiTgAACiQnycjUvBQ6C7LFhSUSeb5BdyoqksSIkKAAD4sUJZkBEcAAAQINrLggQcAADQo2guC1KiAgAAlkPAAQAAlkPAAQAAlsMcHESUjk4zaie0AQAiBwEHEaOqwaWyyl1+90BxGnaVFmZGxSWJAIDIQYkKATo6TdXsa9Ha+gOq2dcSkjvGVjW4VFJRF3CDN7enTSUVdapqcAW9DwAA62AEB37CMYrS0WmqrHJXj0uCm+paObOscpemZTooVwEABoQRHPiEaxSltvFwwM88kSnJ5WlTbePhoPx8AID1BDXgHDlyRMXFxTIMQ4ZhqLi4WEePHu3zPTabrcfHf/3Xf/naXHXVVQGv33rrrcE8FMvrbxRF6hpFCUa5qrm193BzKu0AAAhqwLn99ttVX1+vqqoqVVVVqb6+XsXFxX2+x+Vy+T1eeukl2Ww2fetb3/JrN3fuXL92zz33XDAPxfLCOYqSmmjvv9Eg2gEAELQ5OLt371ZVVZU2b96sSZMmSZJeeOEF5eXlac+ePRo7dmyP73M4HH7P165dq6uvvlpf+9rX/LafddZZAW1x6sI5ipKbkSynYZfb09bjCJJNXTd4y81IHvKfDQCwpqCN4NTU1MgwDF+4kaTJkyfLMAxt2rRpQPv45JNP9Prrr+uuu+4KeG3FihVKSUnR+PHjtXDhQrW2tva6n/b2dnm9Xr8H/IVzFCU+zqbSwkxJXWHmRN3PSwszmWAMABiwoAUct9ut1NTUgO2pqalyu90D2scvf/lLJSYm6pZbbvHbfscdd2jlypXasGGDHn74Ya1evTqgzYnKy8t984AMw9DIkSMHdzAxoHsUpbcIYVPX1VTBGkUpyHJq6exsOQz/AOUw7Fo6O5t1cAAAgzLoEtXixYtVVlbWZ5utW7dK6powfDLTNHvc3pOXXnpJd9xxh+x2/5Pe3Llzff/OysrSmDFjNHHiRNXV1Sk7OztgP4sWLdKCBQt8z71eLyHnJN2jKCUVdbJJfqWiUI2iFGQ5NS3TwUrGAIDTNuiAc++99/Z7xdIFF1yg999/X5988knAa59++qnS0tL6/Tnvvvuu9uzZo1WrVvXbNjs7W8OGDdPevXt7DDgJCQlKSEjodz+xrnsU5eR1cBwhXE04Ps6mvNEjgv5zAADWNuiAk5KSopSUlH7b5eXlyePxqLa2Vrm5uZKkLVu2yOPxaMqUKf2+/8UXX1ROTo4uueSSftt++OGHOn78uJxOyhini1EUAIAV2EzTDNo6/DNmzNDBgwd9l3DffffdGjVqlCorK31txo0bp/Lyct18882+bV6vV06nU48//rjmzZvnt899+/ZpxYoVuu6665SSkqJdu3bpgQce0JlnnqmtW7cqPj6+3355vV4ZhiGPx6OkpKQhOloAABBMgzl/B3UdnBUrVmjChAnKz89Xfn6+Lr74Yi1fvtyvzZ49e+TxePy2vfLKKzJNU7fddlvAPocPH67f//73mj59usaOHav77rtP+fn5Wr9+/YDCDQAAsL6gjuBEKkZwAACIPhEzggMAABAO3E0cABBROjpNLnTAaSPgAAAiRlWDK2CpCmcIl6rAwEV6ECXgAAAiQlWDSyUVdQH3pHN72lRSUceq5hEkGoIoc3AAAGHX0WmqrHJXjzfc7d5WVrlLHZ0xd11MxOkOoieGG+nLIFrV4ApTz/wRcAAAYVfbeDjghHkiU5LL06baxsOh6xQCRFMQJeAAAMKuubX3cHMq7RAc0RRECTgAgLBLTbT332gQ7RAc0RRECTgAgLDLzUiW07Crt2twbOqaxJqbkRzKbuEk0RRECTgAgLCLj7OptDBTkgJCTvfz0sLMiLoMORZFUxAl4AAAIkJBllNLZ2fLYfj/9e8w7FwiHiGiKYhyLyruRQUAESXSF5BD+NbBGcz5m4BDwAEAYNDCEUQHc/5mJWOEBX+hAUB0i4+zKW/0iHB3o1cEHAzYUIWSaFjiGwAQ3Qg4GJChCiXcawYAEApcRYV+DdV9R6JpiW8AQHQj4KBPQxlKommJbwBAdCPgoE9DGUqiaYlvAEB0I+CgT0MZSqJpiW8AQHQj4KBPQxlKommJbwBAdCPgoE9DGUqiaYlvAEB0I+CgT0MdSrjXDACp6wKGmn0tWlt/QDX7Wrh6EkOOWzVwq4YBGerF+VjJGIhdLPZpbcH8/zv3ouoHAefUEEoAnK7eFvvs/j8JI7nRLdjhlYDTDwIOAIReR6epry95q9elJ2zqKle/9+A1/PEUhUIRXgdz/mYODgAgJFjs07oicaV6Ag4AICRY7NO6IjG8crNNnLbe5uYwZwfAiVjs07oiMbwScHBaeptQduMlTr2208VVEgB8utfVcnvaeixldM/BYbHP6BOJ4ZUSFU5Zb3cZd3na9Nw7jad993EA0e/E9W5qGw/r4etZ7NOKInGl+qAGnB//+MeaMmWKzjrrLJ1zzjkDeo9pmlq8eLHS09N15pln6qqrrtKHH37o16a9vV3f/e53lZKSorPPPls33nijPv744yAcAXrT14Sy3oRrohmA8KhqcOnrS97SbS9s1v2v1Ou2Fzbr/7y+S3dfmcFinxYTiSvVBzXgHDt2TN/+9rdVUlIy4Pc89thjeuKJJ/T0009r69atcjgcmjZtmlpbW31t5s+frzVr1uiVV17Re++9p88++0w33HCDOjo6gnEY6EF/E8p6w1USQGzobYTX7WnT8+806uHrL9LKuZP11K2XauXcyXrvwWsIN1Eu0laqD8k6OMuWLdP8+fN19OjRPtuZpqn09HTNnz9fDz74oKSu0Zq0tDQtWbJE//Iv/yKPx6OvfvWrWr58uYqKiiRJBw8e1MiRI7Vu3TpNnz693/6wDs7pW1t/QPe/Un/K73/q1kt106V/N3QdAhAxWO8mtkXKSsYRNQensbFRbrdb+fn5vm0JCQn6xje+oU2bNkmStm/fruPHj/u1SU9PV1ZWlq/Nydrb2+X1ev0eOD2nO1GMqyQA64rES4YROvFxNuWNHqGbLv075Y0eEbYQG1EBx+12S5LS0tL8tqelpflec7vdGj58uM4999xe25ysvLxchmH4HiNHjgxC72NLfxPKehOOiWYAQisSLxlG7Bl0wFm8eLFsNlufj23btp1Wp2w2/9OmaZoB207WV5tFixbJ4/H4Hvv37z+t/qHvCWW94SoJIDZE4iXDiD2DXgfn3nvv1a233tpnmwsuuOCUOuNwOCR1jdI4nV9ORmpubvaN6jgcDh07dkxHjhzxG8Vpbm7WlClTetxvQkKCEhISTqlP6F33hLKBroPjYB0cICaw3g0iwaADTkpKilJSUoLRF2VkZMjhcKi6ulqXXXaZpK4rsTZu3KglS5ZIknJycjRs2DBVV1dr1qxZkiSXy6WGhgY99thjQekXeleQ5dS0TEePE8r+veAiVjIGYlD3CG9JRZ1skl/IYSQXoRLUlYybmpp0+PBhNTU1qaOjQ/X19ZKkv//7v9dXvvIVSdK4ceNUXl6um2++WTabTfPnz9ejjz6qMWPGaMyYMXr00Ud11lln6fbbb5ckGYahu+66Sw888IBGjBih5ORkLVy4UBMmTNC1114bzMNBL7onlA10OwDr622El5FchEpQA86PfvQj/fKXv/Q97x6Vefvtt3XVVVdJkvbs2SOPx+Nr8+///u/629/+pn/913/VkSNHNGnSJL355ptKTEz0tfnJT36iM844Q7NmzdLf/vY3ffOb39SyZcsUHx8fzMMBAAxCXyO8QLCFZB2cSMM6OAAARJ+oXQcHAABgKBBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5RBwAACA5QT1Vg2RqnvxZq/XG+aeAACAgeo+bw/kJgwxGXBaW1slSSNHjgxzTwAAwGC1trbKMIw+28Tkvag6Ozt18OBBJSYmymYb2pu+eb1ejRw5Uvv37+c+VxGIzyey8flELj6byBYrn49pmmptbVV6erri4vqeZROTIzhxcXE677zzgvozkpKSLP0fWbTj84lsfD6Ri88mssXC59PfyE03JhkDAADLIeAAAADLIeAMsYSEBJWWliohISHcXUEP+HwiG59P5OKziWx8PoFicpIxAACwNkZwAACA5RBwAACA5RBwAACA5RBwAACA5RBwhtCzzz6rjIwM2e125eTk6N133w13lyBp8eLFstlsfg+HwxHubsWsd955R4WFhUpPT5fNZtNvf/tbv9dN09TixYuVnp6uM888U1dddZU+/PDD8HQ2BvX3+dx5550B36fJkyeHp7Mxpry8XJdffrkSExOVmpqqmTNnas+ePX5t+P58iYAzRFatWqX58+froYce0o4dOzR16lTNmDFDTU1N4e4aJI0fP14ul8v3+OCDD8LdpZj1+eef65JLLtHTTz/d4+uPPfaYnnjiCT399NPaunWrHA6Hpk2b5ruHHIKrv89HkgoKCvy+T+vWrQthD2PXxo0bdc8992jz5s2qrq7WF198ofz8fH3++ee+Nnx/TmBiSOTm5prz5s3z2zZu3Djz+9//fph6hG6lpaXmJZdcEu5uoAeSzDVr1vied3Z2mg6Hw/zP//xP37a2tjbTMAzz5z//eRh6GNtO/nxM0zTnzJlj3nTTTWHpD/w1NzebksyNGzeapsn352SM4AyBY8eOafv27crPz/fbnp+fr02bNoWpVzjR3r17lZ6eroyMDN16663685//HO4uoQeNjY1yu91+36WEhAR94xvf4LsUQTZs2KDU1FRdeOGFmjt3rpqbm8PdpZjk8XgkScnJyZL4/pyMgDMEDh06pI6ODqWlpfltT0tLk9vtDlOv0G3SpEl6+eWX9bvf/U4vvPCC3G63pkyZopaWlnB3DSfp/r7wXYpcM2bM0IoVK/TWW2/p8ccf19atW3XNNdeovb093F2LKaZpasGCBfr617+urKwsSXx/ThaTdxMPFpvN5vfcNM2AbQi9GTNm+P49YcIE5eXlafTo0frlL3+pBQsWhLFn6A3fpchVVFTk+3dWVpYmTpyoUaNG6fXXX9ctt9wSxp7FlnvvvVfvv/++3nvvvYDX+P50YQRnCKSkpCg+Pj4gITc3NwckaYTf2WefrQkTJmjv3r3h7gpO0n11G9+l6OF0OjVq1Ci+TyH03e9+V6+99prefvttnXfeeb7tfH/8EXCGwPDhw5WTk6Pq6mq/7dXV1ZoyZUqYeoXetLe3a/fu3XI6neHuCk6SkZEhh8Ph9106duyYNm7cyHcpQrW0tGj//v18n0LANE3de++9evXVV/XWW28pIyPD73W+P/4oUQ2RBQsWqLi4WBMnTlReXp6ef/55NTU1ad68eeHuWsxbuHChCgsLdf7556u5uVn/8R//Ia/Xqzlz5oS7azHps88+05/+9Cff88bGRtXX1ys5OVnnn3++5s+fr0cffVRjxozRmDFj9Oijj+qss87S7bffHsZex46+Pp/k5GQtXrxY3/rWt+R0OvXRRx/pBz/4gVJSUnTzzTeHsdex4Z577tGvfvUrrV27VomJib6RGsMwdOaZZ8pms/H9OVFYr+GymGeeecYcNWqUOXz4cDM7O9t36R7Cq6ioyHQ6neawYcPM9PR085ZbbjE//PDDcHcrZr399tumpIDHnDlzTNPsutS1tLTUdDgcZkJCgnnllVeaH3zwQXg7HUP6+nz++te/mvn5+eZXv/pVc9iwYeb5559vzpkzx2xqagp3t2NCT5+LJPMXv/iFrw3fny/ZTNM0Qx+rAAAAgoc5OAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAAwHIIOAAs4dNPP5XD4dCjjz7q27ZlyxYNHz5cb775Zhh7BiAcuNkmAMtYt26dZs6cqU2bNmncuHG67LLLdP311+vJJ58Md9cAhBgBB4Cl3HPPPVq/fr0uv/xy7dy5U1u3bpXdbg93twCEGAEHgKX87W9/U1ZWlvbv369t27bp4osvDneXAIQBc3AAWMqf//xnHTx4UJ2dnfrLX/4S7u4ACBNGcABYxrFjx5Sbm6tLL71U48aN0xNPPKEPPvhAaWlp4e4agBAj4ACwjH/7t3/Tb37zG+3cuVNf+cpXdPXVVysxMVH/+7//G+6uAQgxSlQALGHDhg168skntXz5ciUlJSkuLk7Lly/Xe++9p6VLl4a7ewBCjBEcAABgOYzgAAAAyyHgAAAAyyHgAAAAyyHgAAAAyyHgAAAAyyHgAAAAyyHgAAAAyyHgAAAAyyHgAAAAyyHgAAAAyyHgAAAAy/l/Ie9syYlW58AAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "signal.plot.line('o')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, the coordinates of the `DataArray`s can overlap, as the next example illustrates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_vals = np.linspace(0.0, 2.0*np.pi, 11)\n",
    "signal1 = xr.DataArray(np.sin(x_vals), dims=('x', ), coords=(x_vals.copy(), ))\n",
    "x_vals = np.linspace(0.0, np.pi, 20)\n",
    "signal2 = xr.DataArray(np.sin(x_vals), dims=('x', ), coords=(x_vals.copy(), ))\n",
    "signal = xr.concat((signal1, signal2), dim='x')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, axes = plt.subplots(nrows=1, ncols=1)\n",
    "_ = signal.plot.line('bo', ax=axes, alpha=0.5)\n",
    "_ = signal.plot.line('ro', ax=axes, alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### `merge`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Two (or more) `DataArray` objects can be merged into a single `DataSet` object.  The coordinates are taken into account, and if one of the arrays has no values for the some coordinates, those are considered missing values, and represented as `NaN`.\n",
    "\n",
    "Consider two `DataArray`s, one representing temperature measurements, the other pressure values.  Both data sets have $x$ and $y$ dimensions, but the coordinates differ."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "temperature = xr.DataArray(np.random.normal(loc=20.0, scale=5.0, size=(5, 5)),\n",
    "                           dims=('x', 'y'), coords={'x': np.linspace(0.0, 1.0, 5),\n",
    "                                                    'y': np.linspace(0.0, 5.0, 5)},\n",
    "                           name='temperature')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "pressure = xr.DataArray(np.random.normal(loc=1001.0, scale=100.0, size=(5, 5)),\n",
    "                        dims=('x', 'y'), coords={'x': np.linspace(0.0, 2.0, 5),\n",
    "                                                 'y': np.linspace(0.0, 3.0, 5)},\n",
    "                        name='pressure')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When the data is merged into a `DataSet`, missing values are present."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:      (x: 7, y: 9)\n",
       "Coordinates:\n",
       "  * x            (x) float64 0.0 0.25 0.5 0.75 1.0 1.5 2.0\n",
       "  * y            (y) float64 0.0 0.75 1.25 1.5 2.25 2.5 3.0 3.75 5.0\n",
       "Data variables:\n",
       "    temperature  (x, y) float64 23.24 nan 30.18 nan nan ... nan nan nan nan nan\n",
       "    pressure     (x, y) float64 926.2 1.151e+03 nan 1.092e+03 ... 977.7 nan nan</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-2b354554-8ab2-4555-8d42-72e20f22507c' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-2b354554-8ab2-4555-8d42-72e20f22507c' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 7</li><li><span class='xr-has-index'>y</span>: 9</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-a53c31d3-3083-42cf-bed5-154303745ac9' class='xr-section-summary-in' type='checkbox'  checked><label for='section-a53c31d3-3083-42cf-bed5-154303745ac9' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.25 0.5 0.75 1.0 1.5 2.0</div><input id='attrs-6641f50d-6090-4111-816c-c67943d6a1d3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6641f50d-6090-4111-816c-c67943d6a1d3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9d3af152-f20a-4c67-9ea6-48033c7288e4' class='xr-var-data-in' type='checkbox'><label for='data-9d3af152-f20a-4c67-9ea6-48033c7288e4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.  , 0.25, 0.5 , 0.75, 1.  , 1.5 , 2.  ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.75 1.25 1.5 ... 3.0 3.75 5.0</div><input id='attrs-5eeaa109-e7fb-4c80-bb5a-bf4e0b251d4b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5eeaa109-e7fb-4c80-bb5a-bf4e0b251d4b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1fe9d242-c64d-462d-b71d-7f3667dbc954' class='xr-var-data-in' type='checkbox'><label for='data-1fe9d242-c64d-462d-b71d-7f3667dbc954' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.  , 0.75, 1.25, 1.5 , 2.25, 2.5 , 3.  , 3.75, 5.  ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-2b7de417-5536-45dd-b494-42d946fe9e5c' class='xr-section-summary-in' type='checkbox'  checked><label for='section-2b7de417-5536-45dd-b494-42d946fe9e5c' class='xr-section-summary' >Data variables: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>temperature</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>23.24 nan 30.18 nan ... nan nan nan</div><input id='attrs-707f0fe6-f7b5-40df-9072-3b07d9ab1fd3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-707f0fe6-f7b5-40df-9072-3b07d9ab1fd3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-484469c6-0dae-467a-9d0b-2cc0df848c8e' class='xr-var-data-in' type='checkbox'><label for='data-484469c6-0dae-467a-9d0b-2cc0df848c8e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[23.23616604,         nan, 30.18238158,         nan,         nan,\n",
       "        13.12937321,         nan, 23.4147049 , 17.09909872],\n",
       "       [15.85709827,         nan, 25.42876905,         nan,         nan,\n",
       "        27.16057269,         nan,  9.87494103, 28.63483799],\n",
       "       [16.10969243,         nan, 19.39467018,         nan,         nan,\n",
       "        22.21282898,         nan, 20.88539123, 23.02289686],\n",
       "       [18.25673082,         nan, 18.60506461,         nan,         nan,\n",
       "        32.17162444,         nan, 22.54055055, 25.16864925],\n",
       "       [19.21336843,         nan, 18.45411714,         nan,         nan,\n",
       "        26.47673913,         nan, 23.35967797, 22.45557956],\n",
       "       [        nan,         nan,         nan,         nan,         nan,\n",
       "                nan,         nan,         nan,         nan],\n",
       "       [        nan,         nan,         nan,         nan,         nan,\n",
       "                nan,         nan,         nan,         nan]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>pressure</span></div><div class='xr-var-dims'>(x, y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>926.2 1.151e+03 nan ... nan nan</div><input id='attrs-c1430624-9ae1-4688-bb85-a7a58e561676' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c1430624-9ae1-4688-bb85-a7a58e561676' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-edfdaaa3-dc34-481e-805b-07a3ed2866e9' class='xr-var-data-in' type='checkbox'><label for='data-edfdaaa3-dc34-481e-805b-07a3ed2866e9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[ 926.16248922, 1151.36389227,           nan, 1092.17791015,\n",
       "        1164.85290958,           nan, 1014.72771546,           nan,\n",
       "                  nan],\n",
       "       [          nan,           nan,           nan,           nan,\n",
       "                  nan,           nan,           nan,           nan,\n",
       "                  nan],\n",
       "       [ 910.18063966,  931.14187485,           nan,  894.15501055,\n",
       "         953.83489102,           nan,  998.82937196,           nan,\n",
       "                  nan],\n",
       "       [          nan,           nan,           nan,           nan,\n",
       "                  nan,           nan,           nan,           nan,\n",
       "                  nan],\n",
       "       [ 886.38173014,  975.10452318,           nan,  844.53735706,\n",
       "        1085.50871276,           nan, 1048.35476398,           nan,\n",
       "                  nan],\n",
       "       [ 910.53823753,  769.78390495,           nan, 1014.52554987,\n",
       "        1080.86892936,           nan, 1214.64041537,           nan,\n",
       "                  nan],\n",
       "       [1150.21919323, 1052.20801098,           nan, 1051.20453006,\n",
       "         945.61658908,           nan,  977.67531734,           nan,\n",
       "                  nan]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-8d8c4037-2377-4593-b9c7-0e90add81548' class='xr-section-summary-in' type='checkbox'  ><label for='section-8d8c4037-2377-4593-b9c7-0e90add81548' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-78157200-9015-49e5-b76e-a0145e48f558' class='xr-index-data-in' type='checkbox'/><label for='index-78157200-9015-49e5-b76e-a0145e48f558' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0.0, 0.25, 0.5, 0.75, 1.0, 1.5, 2.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-ed7c938c-85f5-4832-a817-e92de1dc9780' class='xr-index-data-in' type='checkbox'/><label for='index-ed7c938c-85f5-4832-a817-e92de1dc9780' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0.0, 0.75, 1.25, 1.5, 2.25, 2.5, 3.0, 3.75, 5.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-1db281b4-8ee1-458a-84d9-757f00d2a8f9' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-1db281b4-8ee1-458a-84d9-757f00d2a8f9' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:      (x: 7, y: 9)\n",
       "Coordinates:\n",
       "  * x            (x) float64 0.0 0.25 0.5 0.75 1.0 1.5 2.0\n",
       "  * y            (y) float64 0.0 0.75 1.25 1.5 2.25 2.5 3.0 3.75 5.0\n",
       "Data variables:\n",
       "    temperature  (x, y) float64 23.24 nan 30.18 nan nan ... nan nan nan nan nan\n",
       "    pressure     (x, y) float64 926.2 1.151e+03 nan 1.092e+03 ... 977.7 nan nan"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = xr.merge((temperature, pressure))\n",
    "data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize the missing data which shows up as yellow in the plot below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, axes = plt.subplots(nrows=1, ncols=2, figsize=(10, 5))\n",
    "missing_temp = np.where(np.isnan(data['temperature']), 1, 0)\n",
    "_ = axes[0].imshow(missing_temp)\n",
    "missing_pressure = np.where(np.isnan(data['pressure']), 1, 0)\n",
    "_ = axes[1].imshow(missing_pressure)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### `combine_first`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This operation combines values from two `DataArrays`, using the second to fill holes in the first.  Coordinates for which there is no data in either `DataArray` will be filled with `NaN`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "temp1 = xr.DataArray(np.random.normal(loc=20.0, scale=5.0, size=(5, 5)),\n",
    "                     dims=('x', 'y'), coords={'x': np.linspace(0.0, 1.0, 5),\n",
    "                                              'y': np.linspace(0.0, 5.0, 5)},\n",
    "                     name='temperature')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "17.771021630821604"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(temp1[0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "temp2 = xr.DataArray(np.random.normal(loc=1001.0, scale=100.0, size=(5, 5)),\n",
    "                     dims=('x', 'y'), coords={'x': np.linspace(0.0, 2.0, 5),\n",
    "                                              'y': np.linspace(0.0, 3.0, 5)},\n",
    "                     name='temperature2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1123.200190182157"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(temp2[0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;temperature&#x27; (x: 7, y: 9)&gt;\n",
       "array([[  17.77102163,  920.68242682,   15.43601559, 1117.21100454,\n",
       "        1254.48114565,   16.39766811,  925.04086046,   13.43341895,\n",
       "          22.31486526],\n",
       "       [  21.08467394,           nan,   18.92048487,           nan,\n",
       "                  nan,   26.66897308,           nan,   18.91378001,\n",
       "          19.69911482],\n",
       "       [  17.64672422,  938.58950626,    8.33225086, 1010.27702702,\n",
       "        1130.91601089,   13.58773784, 1143.2798967 ,   15.31416915,\n",
       "          18.76200865],\n",
       "       [  21.11977951,           nan,   24.66886705,           nan,\n",
       "                  nan,   21.02219688,           nan,   22.6950095 ,\n",
       "          18.86680327],\n",
       "       [  22.29676536,  893.30104356,   19.60032866,  990.40102533,\n",
       "         902.68700181,   26.85321749, 1052.42342053,    8.56166758,\n",
       "          24.60880585],\n",
       "       [ 873.01559382, 1250.56268028,           nan,  958.20499816,\n",
       "        1033.77113797,           nan,  874.84952715,           nan,\n",
       "                  nan],\n",
       "       [1038.01352392, 1071.52355286,           nan,  989.19495028,\n",
       "        1058.51473875,           nan, 1038.3498911 ,           nan,\n",
       "                  nan]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.25 0.5 0.75 1.0 1.5 2.0\n",
       "  * y        (y) float64 0.0 0.75 1.25 1.5 2.25 2.5 3.0 3.75 5.0</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'temperature'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 7</li><li><span class='xr-has-index'>y</span>: 9</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-8c462f54-e30d-428e-ab46-b908b2bce8ba' class='xr-array-in' type='checkbox' checked><label for='section-8c462f54-e30d-428e-ab46-b908b2bce8ba' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>17.77 920.7 15.44 1.117e+03 1.254e+03 ... nan 1.038e+03 nan nan</span></div><div class='xr-array-data'><pre>array([[  17.77102163,  920.68242682,   15.43601559, 1117.21100454,\n",
       "        1254.48114565,   16.39766811,  925.04086046,   13.43341895,\n",
       "          22.31486526],\n",
       "       [  21.08467394,           nan,   18.92048487,           nan,\n",
       "                  nan,   26.66897308,           nan,   18.91378001,\n",
       "          19.69911482],\n",
       "       [  17.64672422,  938.58950626,    8.33225086, 1010.27702702,\n",
       "        1130.91601089,   13.58773784, 1143.2798967 ,   15.31416915,\n",
       "          18.76200865],\n",
       "       [  21.11977951,           nan,   24.66886705,           nan,\n",
       "                  nan,   21.02219688,           nan,   22.6950095 ,\n",
       "          18.86680327],\n",
       "       [  22.29676536,  893.30104356,   19.60032866,  990.40102533,\n",
       "         902.68700181,   26.85321749, 1052.42342053,    8.56166758,\n",
       "          24.60880585],\n",
       "       [ 873.01559382, 1250.56268028,           nan,  958.20499816,\n",
       "        1033.77113797,           nan,  874.84952715,           nan,\n",
       "                  nan],\n",
       "       [1038.01352392, 1071.52355286,           nan,  989.19495028,\n",
       "        1058.51473875,           nan, 1038.3498911 ,           nan,\n",
       "                  nan]])</pre></div></div></li><li class='xr-section-item'><input id='section-0a1148a7-0a3e-48c8-9935-1e8095becf1b' class='xr-section-summary-in' type='checkbox'  checked><label for='section-0a1148a7-0a3e-48c8-9935-1e8095becf1b' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.25 0.5 0.75 1.0 1.5 2.0</div><input id='attrs-d5e67381-ff4b-4091-92db-0e682f9bf7f5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d5e67381-ff4b-4091-92db-0e682f9bf7f5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0164eade-6848-4948-b895-7db8d6777907' class='xr-var-data-in' type='checkbox'><label for='data-0164eade-6848-4948-b895-7db8d6777907' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.  , 0.25, 0.5 , 0.75, 1.  , 1.5 , 2.  ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.75 1.25 1.5 ... 3.0 3.75 5.0</div><input id='attrs-c6af1aa6-461d-45a7-a492-b5064eba37f7' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c6af1aa6-461d-45a7-a492-b5064eba37f7' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3fe75a35-c155-45e0-bb76-bd270c2a4aff' class='xr-var-data-in' type='checkbox'><label for='data-3fe75a35-c155-45e0-bb76-bd270c2a4aff' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.  , 0.75, 1.25, 1.5 , 2.25, 2.5 , 3.  , 3.75, 5.  ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-787d0ca4-e748-4b89-a378-d448483fa9a5' class='xr-section-summary-in' type='checkbox'  ><label for='section-787d0ca4-e748-4b89-a378-d448483fa9a5' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-211bc87d-6b6d-4ce4-992c-53cfbd0290de' class='xr-index-data-in' type='checkbox'/><label for='index-211bc87d-6b6d-4ce4-992c-53cfbd0290de' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0.0, 0.25, 0.5, 0.75, 1.0, 1.5, 2.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-e7258edc-dcfa-4180-ad49-38e4ac3c5756' class='xr-index-data-in' type='checkbox'/><label for='index-e7258edc-dcfa-4180-ad49-38e4ac3c5756' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0.0, 0.75, 1.25, 1.5, 2.25, 2.5, 3.0, 3.75, 5.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-ba6a8f90-4c04-4c39-85df-bb7f6c44def2' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-ba6a8f90-4c04-4c39-85df-bb7f6c44def2' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'temperature' (x: 7, y: 9)>\n",
       "array([[  17.77102163,  920.68242682,   15.43601559, 1117.21100454,\n",
       "        1254.48114565,   16.39766811,  925.04086046,   13.43341895,\n",
       "          22.31486526],\n",
       "       [  21.08467394,           nan,   18.92048487,           nan,\n",
       "                  nan,   26.66897308,           nan,   18.91378001,\n",
       "          19.69911482],\n",
       "       [  17.64672422,  938.58950626,    8.33225086, 1010.27702702,\n",
       "        1130.91601089,   13.58773784, 1143.2798967 ,   15.31416915,\n",
       "          18.76200865],\n",
       "       [  21.11977951,           nan,   24.66886705,           nan,\n",
       "                  nan,   21.02219688,           nan,   22.6950095 ,\n",
       "          18.86680327],\n",
       "       [  22.29676536,  893.30104356,   19.60032866,  990.40102533,\n",
       "         902.68700181,   26.85321749, 1052.42342053,    8.56166758,\n",
       "          24.60880585],\n",
       "       [ 873.01559382, 1250.56268028,           nan,  958.20499816,\n",
       "        1033.77113797,           nan,  874.84952715,           nan,\n",
       "                  nan],\n",
       "       [1038.01352392, 1071.52355286,           nan,  989.19495028,\n",
       "        1058.51473875,           nan, 1038.3498911 ,           nan,\n",
       "                  nan]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 0.25 0.5 0.75 1.0 1.5 2.0\n",
       "  * y        (y) float64 0.0 0.75 1.25 1.5 2.25 2.5 3.0 3.75 5.0"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = temp1.combine_first(temp2)\n",
    "data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize the origin of the data, either `temp1` in blue or `temp2` in red, as well as the missing data which shows up in white."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_map = np.empty(data.shape)\n",
    "with np.errstate(invalid='ignore'):\n",
    "    data_map[data.values < 200.0] = -1.0\n",
    "    data_map[data.values >= 200.0] = 1.0\n",
    "data_map[np.isnan(data.values)] = 0.0\n",
    "_ = plt.imshow(data_map, cmap='bwr')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot below illustrates that the `combine_first` operator is not symmetric, i.e., `temp1.combine_first(temp2)` is not the same `DataArray` as `temp2.combine_first(temp1)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = temp2.combine_first(temp1)\n",
    "data_map = np.empty(data.shape)\n",
    "with np.errstate(invalid='ignore'):\n",
    "    data_map[data.values < 200.0] = -1.0\n",
    "    data_map[data.values >= 200.0] = 1.0\n",
    "data_map[np.isnan(data.values)] = 0.0\n",
    "_ = plt.imshow(data_map, cmap='bwr')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a second example, `combine_first` can also be used to concatenate two 1D `DataArray`'s. Data along the same dimension can be combined from several xarrays. Consider a sinusoidal signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(15,)"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_vals = np.linspace(0.0, 2.0*np.pi, 15)\n",
    "signal = xr.DataArray(np.sin(x_vals), dims=('x',), coords=(x_vals,), name='signal')\n",
    "signal.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = signal.plot.line('o')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create a second xarray by interpolating the signal.  Since this is 1D data, we can use quadratic interpolation, which is obviously better than the default, linear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(62,)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_vals = np.arange(0.1, 2.0*np.pi, 0.1)\n",
    "interp_signal = signal.interp(x=x_vals, method='quadratic')\n",
    "interp_signal.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;signal&#x27; (x: 62)&gt;\n",
       "array([ 0.10318894,  0.20264376,  0.29836444,  0.39035099,  0.47860341,\n",
       "        0.56312169,  0.64375288,  0.71753198,  0.78331803,  0.84111103,\n",
       "        0.89091097,  0.93216473,  0.96365124,  0.9853265 ,  0.99719052,\n",
       "        0.99924235,  0.99146638,  0.97385707,  0.94641442,  0.90913843,\n",
       "        0.86265968,  0.8082609 ,  0.74597955,  0.67581562,  0.5979443 ,\n",
       "        0.51487769,  0.42743617,  0.33561975,  0.23942843,  0.14036215,\n",
       "        0.04123119, -0.05789976, -0.15703071, -0.25590868, -0.35136437,\n",
       "       -0.44244516, -0.52915105, -0.61148204, -0.68816475, -0.75700325,\n",
       "       -0.81795917, -0.87103252, -0.91609399, -0.95171653, -0.97750573,\n",
       "       -0.99346159, -0.99958412, -0.99588178, -0.98236804, -0.95904304,\n",
       "       -0.92590681, -0.88309627, -0.83195232, -0.77281532, -0.70568526,\n",
       "       -0.63056215, -0.54917135, -0.46402519, -0.37514489, -0.28253045,\n",
       "       -0.18618189, -0.08609919])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.1 0.2 0.3 0.4 0.5 0.6 0.7 ... 5.7 5.8 5.9 6.0 6.1 6.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'signal'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 62</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-be76b463-4fa4-4955-8b19-f06d0c7644f9' class='xr-array-in' type='checkbox' checked><label for='section-be76b463-4fa4-4955-8b19-f06d0c7644f9' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.1032 0.2026 0.2984 0.3904 0.4786 ... -0.3751 -0.2825 -0.1862 -0.0861</span></div><div class='xr-array-data'><pre>array([ 0.10318894,  0.20264376,  0.29836444,  0.39035099,  0.47860341,\n",
       "        0.56312169,  0.64375288,  0.71753198,  0.78331803,  0.84111103,\n",
       "        0.89091097,  0.93216473,  0.96365124,  0.9853265 ,  0.99719052,\n",
       "        0.99924235,  0.99146638,  0.97385707,  0.94641442,  0.90913843,\n",
       "        0.86265968,  0.8082609 ,  0.74597955,  0.67581562,  0.5979443 ,\n",
       "        0.51487769,  0.42743617,  0.33561975,  0.23942843,  0.14036215,\n",
       "        0.04123119, -0.05789976, -0.15703071, -0.25590868, -0.35136437,\n",
       "       -0.44244516, -0.52915105, -0.61148204, -0.68816475, -0.75700325,\n",
       "       -0.81795917, -0.87103252, -0.91609399, -0.95171653, -0.97750573,\n",
       "       -0.99346159, -0.99958412, -0.99588178, -0.98236804, -0.95904304,\n",
       "       -0.92590681, -0.88309627, -0.83195232, -0.77281532, -0.70568526,\n",
       "       -0.63056215, -0.54917135, -0.46402519, -0.37514489, -0.28253045,\n",
       "       -0.18618189, -0.08609919])</pre></div></div></li><li class='xr-section-item'><input id='section-e606c162-ff5a-40ca-ae32-63db1b2a2249' class='xr-section-summary-in' type='checkbox'  checked><label for='section-e606c162-ff5a-40ca-ae32-63db1b2a2249' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.1 0.2 0.3 0.4 ... 5.9 6.0 6.1 6.2</div><input id='attrs-d4cdcfca-6499-4152-8db8-edb487d0a369' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d4cdcfca-6499-4152-8db8-edb487d0a369' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bcac601f-0589-4229-afa9-eb0bcf511b05' class='xr-var-data-in' type='checkbox'><label for='data-bcac601f-0589-4229-afa9-eb0bcf511b05' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2, 1.3, 1.4,\n",
       "       1.5, 1.6, 1.7, 1.8, 1.9, 2. , 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8,\n",
       "       2.9, 3. , 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4. , 4.1, 4.2,\n",
       "       4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 5. , 5.1, 5.2, 5.3, 5.4, 5.5, 5.6,\n",
       "       5.7, 5.8, 5.9, 6. , 6.1, 6.2])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-c1ea09dc-fdef-47c5-84a2-8eb14739149a' class='xr-section-summary-in' type='checkbox'  ><label for='section-c1ea09dc-fdef-47c5-84a2-8eb14739149a' class='xr-section-summary' >Indexes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-09d603a2-7bbc-4d45-92b5-9c42d50d4417' class='xr-index-data-in' type='checkbox'/><label for='index-09d603a2-7bbc-4d45-92b5-9c42d50d4417' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([                0.1,                 0.2, 0.30000000000000004,\n",
       "                       0.4,                 0.5,                 0.6,\n",
       "        0.7000000000000001,                 0.8,                 0.9,\n",
       "                       1.0,                 1.1,  1.2000000000000002,\n",
       "        1.3000000000000003,  1.4000000000000001,  1.5000000000000002,\n",
       "                       1.6,  1.7000000000000002,  1.8000000000000003,\n",
       "        1.9000000000000001,                 2.0,                 2.1,\n",
       "                       2.2,  2.3000000000000003,  2.4000000000000004,\n",
       "        2.5000000000000004,                 2.6,                 2.7,\n",
       "        2.8000000000000003,  2.9000000000000004,  3.0000000000000004,\n",
       "                       3.1,                 3.2,  3.3000000000000003,\n",
       "        3.4000000000000004,  3.5000000000000004,                 3.6,\n",
       "                       3.7,  3.8000000000000003,  3.9000000000000004,\n",
       "                       4.0,                 4.1,                 4.2,\n",
       "                       4.3,  4.3999999999999995,                 4.5,\n",
       "                       4.6,                 4.7,                 4.8,\n",
       "                       4.9,                 5.0,                 5.1,\n",
       "                       5.2,                 5.3,                 5.4,\n",
       "                       5.5,                 5.6,                 5.7,\n",
       "                       5.8,                 5.9,                 6.0,\n",
       "                       6.1,                 6.2],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-c3f1bbad-cfeb-4d48-93df-9b41033acacf' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-c3f1bbad-cfeb-4d48-93df-9b41033acacf' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'signal' (x: 62)>\n",
       "array([ 0.10318894,  0.20264376,  0.29836444,  0.39035099,  0.47860341,\n",
       "        0.56312169,  0.64375288,  0.71753198,  0.78331803,  0.84111103,\n",
       "        0.89091097,  0.93216473,  0.96365124,  0.9853265 ,  0.99719052,\n",
       "        0.99924235,  0.99146638,  0.97385707,  0.94641442,  0.90913843,\n",
       "        0.86265968,  0.8082609 ,  0.74597955,  0.67581562,  0.5979443 ,\n",
       "        0.51487769,  0.42743617,  0.33561975,  0.23942843,  0.14036215,\n",
       "        0.04123119, -0.05789976, -0.15703071, -0.25590868, -0.35136437,\n",
       "       -0.44244516, -0.52915105, -0.61148204, -0.68816475, -0.75700325,\n",
       "       -0.81795917, -0.87103252, -0.91609399, -0.95171653, -0.97750573,\n",
       "       -0.99346159, -0.99958412, -0.99588178, -0.98236804, -0.95904304,\n",
       "       -0.92590681, -0.88309627, -0.83195232, -0.77281532, -0.70568526,\n",
       "       -0.63056215, -0.54917135, -0.46402519, -0.37514489, -0.28253045,\n",
       "       -0.18618189, -0.08609919])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.1 0.2 0.3 0.4 0.5 0.6 0.7 ... 5.7 5.8 5.9 6.0 6.1 6.2"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "interp_signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, axes = plt.subplots(nrows=1, ncols=1)\n",
    "_ = signal.plot.line('r-o', ax=axes)\n",
    "_ = interp_signal.plot.line('b.', ax=axes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Combine the original and the interpolated signal into a single xarray."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(77,)"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "combined = signal.combine_first(interp_signal)\n",
    "combined.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = combined.plot.line('.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Split-apply-combine: grouping"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As in pandas, data in `DataArray`s can be grouped using the `group_by` method.  It is mostly done for data with categorical coordinates, and works similar to its pandas counterpart.  However, xarray has the `groupby_bins` method that is very convenient."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "coords = np.arange(0.0, 20.0, 1.0)\n",
    "temperature = xr.DataArray(np.random.normal(loc=20.0, scale=2.0, size=(coords.shape[0], coords.shape[0])),\n",
    "                           dims=('x', 'y'), coords={'x': coords, 'y': coords}, name='temperature')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data may be grouped by $x$ coordinates, e.g., into 5 bins."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "bins = np.arange(-0.1, 20.1, 4.0)\n",
    "labels = np.arange(2.0, 19.0, 4.0)\n",
    "x_groups = temperature.groupby_bins('x', bins, labels=labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As labels for the bins, the midpoint of the bin intervals is chosen.  The resulting groups show that each of the five groups contains 4 indices along the $x$-axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{2.0: [0, 1, 2, 3],\n",
       " 6.0: [4, 5, 6, 7],\n",
       " 10.0: [8, 9, 10, 11],\n",
       " 14.0: [12, 13, 14, 15],\n",
       " 18.0: [16, 17, 18, 19]}"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_groups.groups"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each of these groups, we can print the label, the group's shape, and the average over the group."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.0 (4, 20): 20.411949\n",
      "6.0 (4, 20): 20.004886\n",
      "10.0 (4, 20): 20.189197\n",
      "14.0 (4, 20): 19.626370\n",
      "18.0 (4, 20): 19.778839\n"
     ]
    }
   ],
   "source": [
    "for label, group in x_groups:\n",
    "    print(f'{label} {group.shape}: {float(group.mean()):.6f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the `apply` method on a group-by object will perform the same computation, but combine the results back into a `DataArray` with the appropriate coordinates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;temperature&#x27; (x: 5)&gt;\n",
       "array([20.4119489 , 20.0048861 , 20.18919652, 19.62636978, 19.77883921])\n",
       "Coordinates:\n",
       "  * x        (x) float64 2.0 6.0 10.0 14.0 18.0</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'temperature'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 5</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-4285f655-716f-499e-bdab-533ce53d24de' class='xr-array-in' type='checkbox' checked><label for='section-4285f655-716f-499e-bdab-533ce53d24de' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>20.41 20.0 20.19 19.63 19.78</span></div><div class='xr-array-data'><pre>array([20.4119489 , 20.0048861 , 20.18919652, 19.62636978, 19.77883921])</pre></div></div></li><li class='xr-section-item'><input id='section-408f1b94-8479-4313-ac05-64b7ba70a589' class='xr-section-summary-in' type='checkbox'  checked><label for='section-408f1b94-8479-4313-ac05-64b7ba70a589' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.0 6.0 10.0 14.0 18.0</div><input id='attrs-2bb62fe9-1f23-4325-96fc-60e564dc4f39' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-2bb62fe9-1f23-4325-96fc-60e564dc4f39' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d59648d3-3e73-430d-8178-77b56a094ddb' class='xr-var-data-in' type='checkbox'><label for='data-d59648d3-3e73-430d-8178-77b56a094ddb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([ 2.,  6., 10., 14., 18.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-72c384a6-37f7-4aeb-b332-c4a6e7c768c2' class='xr-section-summary-in' type='checkbox'  ><label for='section-72c384a6-37f7-4aeb-b332-c4a6e7c768c2' class='xr-section-summary' >Indexes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-6c2f7f82-c3af-410b-bf95-b67e0a4c3ccf' class='xr-index-data-in' type='checkbox'/><label for='index-6c2f7f82-c3af-410b-bf95-b67e0a4c3ccf' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([2.0, 6.0, 10.0, 14.0, 18.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-93417aa1-1dc4-417a-ac5d-48856d4e119c' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-93417aa1-1dc4-417a-ac5d-48856d4e119c' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'temperature' (x: 5)>\n",
       "array([20.4119489 , 20.0048861 , 20.18919652, 19.62636978, 19.77883921])\n",
       "Coordinates:\n",
       "  * x        (x) float64 2.0 6.0 10.0 14.0 18.0"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_groups.apply(np.mean).rename({'x_bins': 'x'})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although there seems to be no way to bin directly in two dimensions, this can easily be achieved by using `apply` at two levels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;temperature&#x27; (x: 5, y: 5)&gt;\n",
       "array([[20.76172446, 19.8670454 , 20.06828179, 20.43656697, 20.92612589],\n",
       "       [19.3314684 , 20.53350815, 20.06833316, 20.28301741, 19.80810338],\n",
       "       [20.1373937 , 19.9144026 , 20.78132063, 20.33301829, 19.7798474 ],\n",
       "       [19.49027118, 19.9346774 , 19.54296398, 19.56484387, 19.5990925 ],\n",
       "       [19.35355243, 19.75661655, 20.19898202, 19.4545543 , 20.13049075]])\n",
       "Coordinates:\n",
       "  * y        (y) float64 2.0 6.0 10.0 14.0 18.0\n",
       "  * x        (x) float64 2.0 6.0 10.0 14.0 18.0</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'temperature'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 5</li><li><span class='xr-has-index'>y</span>: 5</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-e79622d5-1699-4fdc-9f09-dc7c7fbe944f' class='xr-array-in' type='checkbox' checked><label for='section-e79622d5-1699-4fdc-9f09-dc7c7fbe944f' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>20.76 19.87 20.07 20.44 20.93 19.33 ... 19.35 19.76 20.2 19.45 20.13</span></div><div class='xr-array-data'><pre>array([[20.76172446, 19.8670454 , 20.06828179, 20.43656697, 20.92612589],\n",
       "       [19.3314684 , 20.53350815, 20.06833316, 20.28301741, 19.80810338],\n",
       "       [20.1373937 , 19.9144026 , 20.78132063, 20.33301829, 19.7798474 ],\n",
       "       [19.49027118, 19.9346774 , 19.54296398, 19.56484387, 19.5990925 ],\n",
       "       [19.35355243, 19.75661655, 20.19898202, 19.4545543 , 20.13049075]])</pre></div></div></li><li class='xr-section-item'><input id='section-af5aea09-b375-4e5b-807f-9c8812da8327' class='xr-section-summary-in' type='checkbox'  checked><label for='section-af5aea09-b375-4e5b-807f-9c8812da8327' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.0 6.0 10.0 14.0 18.0</div><input id='attrs-d9528666-8651-496c-b62a-06bedd80dc22' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d9528666-8651-496c-b62a-06bedd80dc22' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-18cfb096-581a-4fe8-8933-fdd02d871490' class='xr-var-data-in' type='checkbox'><label for='data-18cfb096-581a-4fe8-8933-fdd02d871490' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([ 2.,  6., 10., 14., 18.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>2.0 6.0 10.0 14.0 18.0</div><input id='attrs-7adf22d2-0f76-418c-bd71-48541d9ebd06' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7adf22d2-0f76-418c-bd71-48541d9ebd06' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-94c057dd-953f-4a59-bc3d-c01d8e904459' class='xr-var-data-in' type='checkbox'><label for='data-94c057dd-953f-4a59-bc3d-c01d8e904459' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([ 2.,  6., 10., 14., 18.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-eaa51df1-8901-4c94-ae4a-007f2f83a814' class='xr-section-summary-in' type='checkbox'  ><label for='section-eaa51df1-8901-4c94-ae4a-007f2f83a814' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-78ebe332-6555-4955-bd2f-5422ff323a84' class='xr-index-data-in' type='checkbox'/><label for='index-78ebe332-6555-4955-bd2f-5422ff323a84' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([2.0, 6.0, 10.0, 14.0, 18.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-c43d0d65-b92a-48b6-bb21-610da40c8c23' class='xr-index-data-in' type='checkbox'/><label for='index-c43d0d65-b92a-48b6-bb21-610da40c8c23' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([2.0, 6.0, 10.0, 14.0, 18.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-e3cc33a9-7d21-4f13-96b5-79738586d6dd' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-e3cc33a9-7d21-4f13-96b5-79738586d6dd' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'temperature' (x: 5, y: 5)>\n",
       "array([[20.76172446, 19.8670454 , 20.06828179, 20.43656697, 20.92612589],\n",
       "       [19.3314684 , 20.53350815, 20.06833316, 20.28301741, 19.80810338],\n",
       "       [20.1373937 , 19.9144026 , 20.78132063, 20.33301829, 19.7798474 ],\n",
       "       [19.49027118, 19.9346774 , 19.54296398, 19.56484387, 19.5990925 ],\n",
       "       [19.35355243, 19.75661655, 20.19898202, 19.4545543 , 20.13049075]])\n",
       "Coordinates:\n",
       "  * y        (y) float64 2.0 6.0 10.0 14.0 18.0\n",
       "  * x        (x) float64 2.0 6.0 10.0 14.0 18.0"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "coarse_temp = x_groups.apply(lambda x: x.groupby_bins('y', bins, labels=labels).apply(np.mean))\\\n",
    "                      .rename({'x_bins': 'x', 'y_bins': 'y'})\n",
    "coarse_temp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To verify, compare the upper-left and lower-right elements of `coarse_temp` with the explicitely computed mean value of those subarrays."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.isclose(temperature[0:4, 0:4].mean(), coarse_temp[0, 0], rtol=1.0e-7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.isclose(temperature[-4:, -4:].mean(), coarse_temp[-1, -1], rtol=1.0e-7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize the coarsening process by plotting a heatmap of the original and the coarsened data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vmin = float(temperature.min())\n",
    "vmax = float(temperature.max())\n",
    "figure, axes = plt.subplots(nrows=1, ncols=2, figsize=(10, 5))\n",
    "# plot of tempeature\n",
    "t_plot = axes[0].imshow(temperature, cmap='coolwarm', origin='lower',\n",
    "                        vmin=vmin, vmax=vmax)\n",
    "axes[0].set_xlabel('$x$')\n",
    "tick_pos = list(range(0, 20, 5))\n",
    "axes[0].set_xticks(tick_pos)\n",
    "axes[0].set_xticklabels(f'{float(x):.1f}' for x in temperature.coords['x'][tick_pos])\n",
    "axes[0].set_ylabel('$y$')\n",
    "axes[0].set_yticks(tick_pos)\n",
    "axes[0].set_yticklabels(f'{float(x):.1f}' for x in temperature.coords['y'][tick_pos])\n",
    "figure.colorbar(t_plot)\n",
    "# plot of coarse_temp\n",
    "c_plot = axes[1].imshow(coarse_temp, cmap='coolwarm', origin='lower',\n",
    "                        vmin=vmin, vmax=vmax)\n",
    "axes[1].set_xlabel('$x$')\n",
    "axes[1].set_xticks(range(len(coarse_temp.coords['x'])))\n",
    "axes[1].set_xticklabels(f'{float(x):.1f}' for x in coarse_temp.coords['x'])\n",
    "axes[1].set_ylabel('$y$')\n",
    "axes[1].set_yticks(range(len(coarse_temp.coords['y'])))\n",
    "axes[1].set_yticklabels(f'{float(x):.1f}' for x in coarse_temp.coords['y'])\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time series"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Working with multi-dimensional time series data is straightforward with xarray.  A sequence of timestamps can be created using pandas. We will use this to index a 3D array, where the third dimension represents time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_coords = np.linspace(-2.0, 2.0, 5)\n",
    "y_coords = np.linspace(-3.0, 3.0, 7)\n",
    "timestamps = pd.date_range('2019-07-01', freq='6H', periods=10)\n",
    "data = xr.DataArray(np.empty((len(x_coords), len(y_coords), len(timestamps))),\n",
    "                    dims=('x', 'y', 't'), coords=(x_coords, y_coords, timestamps))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We initialize the data, starting from random values at $t = 0$, and computing the data at $t + 1$ from the data at time $t$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "data[:, :, 0] = np.random.normal(loc=0.0, scale=1.0, size=(data.coords['x'].shape[0], data.coords['y'].shape[0]))\n",
    "for t in range(1, data.coords['t'].shape[0]):\n",
    "    data[:, :, t] = data[:, :, t - 1] + np.random.normal(loc=0.0, scale=0.1, size=data[:, :, 0].shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each timestamp, we can print the mean and standard deviation over the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean: -0.005, stddev: 0.090\n",
      "mean: -0.009, stddev: 0.099\n",
      "mean: +0.002, stddev: 0.067\n",
      "mean: -0.026, stddev: 0.100\n",
      "mean: -0.031, stddev: 0.091\n",
      "mean: +0.011, stddev: 0.109\n",
      "mean: +0.012, stddev: 0.085\n",
      "mean: -0.021, stddev: 0.122\n",
      "mean: -0.003, stddev: 0.081\n"
     ]
    }
   ],
   "source": [
    "for t in range(1, data.coords['t'].shape[0]):\n",
    "    diff = data.isel(t=t) - data.isel(t=t - 1)\n",
    "    print(f'mean: {float(diff.mean()):+0.3f}, stddev: {float(diff.std()):0.3f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean_data = data.mean(dim=('x', 'y'))\n",
    "mean_data.name = 'mean values'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = mean_data.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the plot's $x$-axis is labeled appropriately, i.e, with the date and time only."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data can be indexed by a string representing a timestamp."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 5, y: 7)&gt;\n",
       "array([[ 1.35663105, -0.60826832,  1.26225307,  0.60186788, -0.93514456,\n",
       "         0.48110012,  0.3801613 ],\n",
       "       [-0.20011588, -1.74086208, -0.61226115,  1.08991557, -0.41158625,\n",
       "        -2.13012291, -0.64378608],\n",
       "       [-0.09490947, -0.29267474,  1.50897888, -1.30764207, -1.56020939,\n",
       "        -0.02591869, -0.48976653],\n",
       "       [-0.69659575,  0.02830158,  0.37002466, -0.62219961,  1.03102131,\n",
       "        -0.05416175,  0.11618912],\n",
       "       [ 0.45784733, -0.14535064, -0.51754932, -0.45155452, -1.37058801,\n",
       "        -1.39358771, -0.48067083]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 -2.0 -1.0 0.0 1.0 2.0\n",
       "  * y        (y) float64 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0\n",
       "    t        datetime64[ns] 2019-07-02T06:00:00</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 5</li><li><span class='xr-has-index'>y</span>: 7</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-ba0ab87a-6b3f-4962-88d5-45fcd68cf157' class='xr-array-in' type='checkbox' checked><label for='section-ba0ab87a-6b3f-4962-88d5-45fcd68cf157' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>1.357 -0.6083 1.262 0.6019 -0.9351 ... -0.4516 -1.371 -1.394 -0.4807</span></div><div class='xr-array-data'><pre>array([[ 1.35663105, -0.60826832,  1.26225307,  0.60186788, -0.93514456,\n",
       "         0.48110012,  0.3801613 ],\n",
       "       [-0.20011588, -1.74086208, -0.61226115,  1.08991557, -0.41158625,\n",
       "        -2.13012291, -0.64378608],\n",
       "       [-0.09490947, -0.29267474,  1.50897888, -1.30764207, -1.56020939,\n",
       "        -0.02591869, -0.48976653],\n",
       "       [-0.69659575,  0.02830158,  0.37002466, -0.62219961,  1.03102131,\n",
       "        -0.05416175,  0.11618912],\n",
       "       [ 0.45784733, -0.14535064, -0.51754932, -0.45155452, -1.37058801,\n",
       "        -1.39358771, -0.48067083]])</pre></div></div></li><li class='xr-section-item'><input id='section-5110bc39-d3b3-49bd-bdbc-4423c8af594f' class='xr-section-summary-in' type='checkbox'  checked><label for='section-5110bc39-d3b3-49bd-bdbc-4423c8af594f' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-2.0 -1.0 0.0 1.0 2.0</div><input id='attrs-aafd2ea9-8a37-4385-9e78-8d14bcf4a5aa' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-aafd2ea9-8a37-4385-9e78-8d14bcf4a5aa' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5e6e2499-3cf1-4036-b35a-19315900c082' class='xr-var-data-in' type='checkbox'><label for='data-5e6e2499-3cf1-4036-b35a-19315900c082' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-2., -1.,  0.,  1.,  2.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-3.0 -2.0 -1.0 0.0 1.0 2.0 3.0</div><input id='attrs-5daa51a6-bdf0-4564-9f8b-13b840d552eb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5daa51a6-bdf0-4564-9f8b-13b840d552eb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-41d41c40-0cb1-49f3-b3c5-18354f1ac760' class='xr-var-data-in' type='checkbox'><label for='data-41d41c40-0cb1-49f3-b3c5-18354f1ac760' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-3., -2., -1.,  0.,  1.,  2.,  3.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>t</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>datetime64[ns]</div><div class='xr-var-preview xr-preview'>2019-07-02T06:00:00</div><input id='attrs-a5b5e2aa-45a2-4a6b-a303-917e797010b9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a5b5e2aa-45a2-4a6b-a303-917e797010b9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-55eda228-3713-4c64-8dda-9cb64552fd0f' class='xr-var-data-in' type='checkbox'><label for='data-55eda228-3713-4c64-8dda-9cb64552fd0f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(&#x27;2019-07-02T06:00:00.000000000&#x27;, dtype=&#x27;datetime64[ns]&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-29b7f982-1e93-4439-9c95-475eef490a44' class='xr-section-summary-in' type='checkbox'  ><label for='section-29b7f982-1e93-4439-9c95-475eef490a44' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>x</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-93a883ce-3de2-49bd-9b35-4e5435846c7e' class='xr-index-data-in' type='checkbox'/><label for='index-93a883ce-3de2-49bd-9b35-4e5435846c7e' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([-2.0, -1.0, 0.0, 1.0, 2.0], dtype=&#x27;float64&#x27;, name=&#x27;x&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>y</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-29289b90-bd26-4d87-bab3-95d7ccd6d359' class='xr-index-data-in' type='checkbox'/><label for='index-29289b90-bd26-4d87-bab3-95d7ccd6d359' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([-3.0, -2.0, -1.0, 0.0, 1.0, 2.0, 3.0], dtype=&#x27;float64&#x27;, name=&#x27;y&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-ace524a3-40d9-4509-8a7e-99ec0cdd4b56' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-ace524a3-40d9-4509-8a7e-99ec0cdd4b56' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 5, y: 7)>\n",
       "array([[ 1.35663105, -0.60826832,  1.26225307,  0.60186788, -0.93514456,\n",
       "         0.48110012,  0.3801613 ],\n",
       "       [-0.20011588, -1.74086208, -0.61226115,  1.08991557, -0.41158625,\n",
       "        -2.13012291, -0.64378608],\n",
       "       [-0.09490947, -0.29267474,  1.50897888, -1.30764207, -1.56020939,\n",
       "        -0.02591869, -0.48976653],\n",
       "       [-0.69659575,  0.02830158,  0.37002466, -0.62219961,  1.03102131,\n",
       "        -0.05416175,  0.11618912],\n",
       "       [ 0.45784733, -0.14535064, -0.51754932, -0.45155452, -1.37058801,\n",
       "        -1.39358771, -0.48067083]])\n",
       "Coordinates:\n",
       "  * x        (x) float64 -2.0 -1.0 0.0 1.0 2.0\n",
       "  * y        (y) float64 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0\n",
       "    t        datetime64[ns] 2019-07-02T06:00:00"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sel(t='2019-07-02 06:00:00')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When indexing with a data, all data for that date is returned."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;t&#x27; (t: 4)&gt;\n",
       "array([&#x27;2019-07-02T00:00:00.000000000&#x27;, &#x27;2019-07-02T06:00:00.000000000&#x27;,\n",
       "       &#x27;2019-07-02T12:00:00.000000000&#x27;, &#x27;2019-07-02T18:00:00.000000000&#x27;],\n",
       "      dtype=&#x27;datetime64[ns]&#x27;)\n",
       "Coordinates:\n",
       "  * t        (t) datetime64[ns] 2019-07-02 ... 2019-07-02T18:00:00</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'t'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>t</span>: 4</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-9bbe27cf-55e8-41e3-a81d-dcd828836e36' class='xr-array-in' type='checkbox' checked><label for='section-9bbe27cf-55e8-41e3-a81d-dcd828836e36' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>2019-07-02 2019-07-02T06:00:00 2019-07-02T12:00:00 2019-07-02T18:00:00</span></div><div class='xr-array-data'><pre>array([&#x27;2019-07-02T00:00:00.000000000&#x27;, &#x27;2019-07-02T06:00:00.000000000&#x27;,\n",
       "       &#x27;2019-07-02T12:00:00.000000000&#x27;, &#x27;2019-07-02T18:00:00.000000000&#x27;],\n",
       "      dtype=&#x27;datetime64[ns]&#x27;)</pre></div></div></li><li class='xr-section-item'><input id='section-4cf31016-91ba-4b5b-92a8-f136999cffd9' class='xr-section-summary-in' type='checkbox'  checked><label for='section-4cf31016-91ba-4b5b-92a8-f136999cffd9' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>t</span></div><div class='xr-var-dims'>(t)</div><div class='xr-var-dtype'>datetime64[ns]</div><div class='xr-var-preview xr-preview'>2019-07-02 ... 2019-07-02T18:00:00</div><input id='attrs-be99462d-4e9c-454b-af69-8d42843b9ed9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-be99462d-4e9c-454b-af69-8d42843b9ed9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2eafbc8d-7add-4308-89c1-1ea9764afe78' class='xr-var-data-in' type='checkbox'><label for='data-2eafbc8d-7add-4308-89c1-1ea9764afe78' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;2019-07-02T00:00:00.000000000&#x27;, &#x27;2019-07-02T06:00:00.000000000&#x27;,\n",
       "       &#x27;2019-07-02T12:00:00.000000000&#x27;, &#x27;2019-07-02T18:00:00.000000000&#x27;],\n",
       "      dtype=&#x27;datetime64[ns]&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-40d676bd-2e85-4b90-8054-0c94254bff3c' class='xr-section-summary-in' type='checkbox'  ><label for='section-40d676bd-2e85-4b90-8054-0c94254bff3c' class='xr-section-summary' >Indexes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>t</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-dc00a66e-2519-43ca-8908-c0e5a54bc8ca' class='xr-index-data-in' type='checkbox'/><label for='index-dc00a66e-2519-43ca-8908-c0e5a54bc8ca' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(DatetimeIndex([&#x27;2019-07-02 00:00:00&#x27;, &#x27;2019-07-02 06:00:00&#x27;,\n",
       "               &#x27;2019-07-02 12:00:00&#x27;, &#x27;2019-07-02 18:00:00&#x27;],\n",
       "              dtype=&#x27;datetime64[ns]&#x27;, name=&#x27;t&#x27;, freq=&#x27;6H&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-5ac6c09c-7355-4906-865e-2e5a085c49f1' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-5ac6c09c-7355-4906-865e-2e5a085c49f1' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 't' (t: 4)>\n",
       "array(['2019-07-02T00:00:00.000000000', '2019-07-02T06:00:00.000000000',\n",
       "       '2019-07-02T12:00:00.000000000', '2019-07-02T18:00:00.000000000'],\n",
       "      dtype='datetime64[ns]')\n",
       "Coordinates:\n",
       "  * t        (t) datetime64[ns] 2019-07-02 ... 2019-07-02T18:00:00"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sel(t='2019-07-02').coords['t']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data can also be sliced along the time coordinate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;t&#x27; (t: 3)&gt;\n",
       "array([&#x27;2019-07-02T06:00:00.000000000&#x27;, &#x27;2019-07-02T12:00:00.000000000&#x27;,\n",
       "       &#x27;2019-07-02T18:00:00.000000000&#x27;], dtype=&#x27;datetime64[ns]&#x27;)\n",
       "Coordinates:\n",
       "  * t        (t) datetime64[ns] 2019-07-02T06:00:00 ... 2019-07-02T18:00:00</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'t'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>t</span>: 3</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-ef1f9546-cb50-4280-8ea4-f614e2c9b2cb' class='xr-array-in' type='checkbox' checked><label for='section-ef1f9546-cb50-4280-8ea4-f614e2c9b2cb' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>2019-07-02T06:00:00 2019-07-02T12:00:00 2019-07-02T18:00:00</span></div><div class='xr-array-data'><pre>array([&#x27;2019-07-02T06:00:00.000000000&#x27;, &#x27;2019-07-02T12:00:00.000000000&#x27;,\n",
       "       &#x27;2019-07-02T18:00:00.000000000&#x27;], dtype=&#x27;datetime64[ns]&#x27;)</pre></div></div></li><li class='xr-section-item'><input id='section-00cf9e88-d238-46fa-a46a-57e07a1b8c41' class='xr-section-summary-in' type='checkbox'  checked><label for='section-00cf9e88-d238-46fa-a46a-57e07a1b8c41' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>t</span></div><div class='xr-var-dims'>(t)</div><div class='xr-var-dtype'>datetime64[ns]</div><div class='xr-var-preview xr-preview'>2019-07-02T06:00:00 ... 2019-07-...</div><input id='attrs-d5562c02-ba74-41f6-9e43-8b0c30c52fc2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d5562c02-ba74-41f6-9e43-8b0c30c52fc2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-79b17e77-82bb-4866-b562-cb11e1e4f839' class='xr-var-data-in' type='checkbox'><label for='data-79b17e77-82bb-4866-b562-cb11e1e4f839' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;2019-07-02T06:00:00.000000000&#x27;, &#x27;2019-07-02T12:00:00.000000000&#x27;,\n",
       "       &#x27;2019-07-02T18:00:00.000000000&#x27;], dtype=&#x27;datetime64[ns]&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-4fb14ed8-32e0-4bc6-acc9-790ea4afb7ee' class='xr-section-summary-in' type='checkbox'  ><label for='section-4fb14ed8-32e0-4bc6-acc9-790ea4afb7ee' class='xr-section-summary' >Indexes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>t</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-1ee2faf3-d8bf-41dc-a717-a0b6e1251385' class='xr-index-data-in' type='checkbox'/><label for='index-1ee2faf3-d8bf-41dc-a717-a0b6e1251385' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(DatetimeIndex([&#x27;2019-07-02 06:00:00&#x27;, &#x27;2019-07-02 12:00:00&#x27;,\n",
       "               &#x27;2019-07-02 18:00:00&#x27;],\n",
       "              dtype=&#x27;datetime64[ns]&#x27;, name=&#x27;t&#x27;, freq=&#x27;6H&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d9a60dda-0a3e-4b94-a633-d4824970fd18' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-d9a60dda-0a3e-4b94-a633-d4824970fd18' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 't' (t: 3)>\n",
       "array(['2019-07-02T06:00:00.000000000', '2019-07-02T12:00:00.000000000',\n",
       "       '2019-07-02T18:00:00.000000000'], dtype='datetime64[ns]')\n",
       "Coordinates:\n",
       "  * t        (t) datetime64[ns] 2019-07-02T06:00:00 ... 2019-07-02T18:00:00"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sel(t=slice('2019-07-02 02:00:00', '2019-07-02 20:00:00')).coords['t']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting the values at some point in time is now easy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = data.sel(t='2019-07-02 06:00:00').plot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "toc-autonumbering": false,
  "toc-showcode": false,
  "toc-showmarkdowntxt": false
 },
 "nbformat": 4,
 "nbformat_minor": 4
}