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<!DOCTYPE html>
<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta charset="utf-8">
<link rel="canonical" href="https://mathfonts.github.io/mozilla_mathml_test">
<script type="text/javascript" src="font-selection.js"></script>
<style id="mathcss"></style>
<style type="text/css">
/* Table style */
body {
text-align: center;
}
table {
border: solid thin;
border-collapse: collapse;
margin-left: auto;
margin-right: auto;
}
th {
background-color: #ddf;
border: solid thin;
color: black;
padding: 5px;
}
td {
border: solid thin;
padding: 5px;
text-align: center;
}
p.breadcrumb {font-style: small; text-align:left;border-bottom: solid thin black;}
p.breadcrumb a {text-decoration:none; color:blue;}
</style>
<title>Mozilla MathML Test</title>
</head>
<body>
<p class="breadcrumb"><a href="./">MathFonts.github.io</a></p>
<h1>Mozilla MathML Test</h1>
<p>Render this page with <select class="mathfont"></select></p>
<table>
<tr>
<td>
</td>
<th scope="col">As rendered by TeX</th>
<th scope="col">As rendered by your browser</th>
</tr>
<tr>
<td>1</td>
<td>
<img src="mozilla_mathml_test_resources/ex1.png" width="38" height="22" alt="TeXbook, 16.2-16.3" />
</td>
<td>
<math display="block">
<mrow>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
<msup>
<mi>y</mi>
<mn>2</mn>
</msup>
</mrow>
</math>
</td>
</tr>
<tr>
<td>2</td>
<td>
<img src="mozilla_mathml_test_resources/ex2.png" width="30" height="17" alt="TeXbook, 16.2-16.3" />
</td>
<td>
<math display="block">
<!--
<mrow>
<msub>
<mi>
</mi>
<mn>2</mn>
</msub>
<msub>
<mi>F</mi>
<mn>3</mn>
</msub>
</mrow>
-->
<mrow>
<mmultiscripts>
<mi>F</mi>
<mn>3</mn>
<none/>
<mprescripts/>
<mn>2</mn>
<none/>
</mmultiscripts>
</mrow>
</math>
</td>
</tr>
<tr>
<td>3</td>
<td>
<img src="mozilla_mathml_test_resources/ex21.png" width="58" height="47" alt="TeXbook, 17-17.1" />
</td>
<td>
<math display="block">
<mrow>
<mfrac>
<mrow>
<mi>x</mi>
<mo>+</mo>
<msup>
<mi>y</mi>
<mn>2</mn>
</msup>
</mrow>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</mfrac>
</mrow>
</math>
</td>
</tr>
<tr>
<td>4</td>
<td>
<img src="mozilla_mathml_test_resources/ex22.png" width="76" height="25" alt="TeXbook, 17-17.1" />
</td>
<td>
<math display="block">
<mrow>
<mi>x</mi>
<mo>+</mo>
<msup>
<mi>y</mi>
<mfrac>
<mn>2</mn>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</mfrac>
</msup>
</mrow>
</math>
</td>
</tr>
<tr>
<td>5</td>
<td>
<img src="mozilla_mathml_test_resources/ex23.png" width="30" height="42" alt="TeXbook, 17-17.1" />
</td>
<td>
<math display="block">
<mrow>
<mfrac>
<mi>a</mi>
<mrow>
<mi>b</mi>
<mo>/</mo>
<mn>2</mn>
</mrow>
</mfrac>
</mrow>
</math>
</td>
</tr>
<tr>
<td>6</td>
<td>
<img src="mozilla_mathml_test_resources/ex24.png" width="220" height="138" alt="TeXbook, 17.5-17.6" />
</td>
<td>
<math display="block">
<mrow>
<msub>
<mi>a</mi>
<mn>0</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>a</mi>
<mn>1</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>a</mi>
<mn>2</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>a</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>a</mi>
<mn>4</mn>
</msub>
</mstyle>
</mfrac>
</mstyle>
</mfrac>
</mstyle>
</mfrac>
</mstyle>
</mfrac>
</mrow>
</math>
</td>
</tr>
<tr>
<td>7</td>
<td>
<img src="mozilla_mathml_test_resources/ex25.png" width="200" height="85" alt="TeXbook, 17.5-17.6" />
</td>
<td>
<math>
<mrow>
<msub>
<mi>a</mi>
<mn>0</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msub>
<mi>a</mi>
<mn>1</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msub>
<mi>a</mi>
<mn>2</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msub>
<mi>a</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msub>
<mi>a</mi>
<mn>4</mn>
</msub>
</mrow>
</mfrac>
</mrow>
</mfrac>
</mrow>
</mfrac>
</mrow>
</mfrac>
</mrow>
</math>
</td>
</tr>
<tr>
<td>8</td>
<td>
<img src="mozilla_mathml_test_resources/ex26.png" width="54" height="50" alt="TeXbook, 17.5-17.6" />
</td>
<td>
<math display="block">
<mrow>
<mo>(</mo>
<mfrac linethickness="0px">
<mi>n</mi>
<mrow>
<mi>k</mi>
<mo>/</mo>
<mn>2</mn>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
</math>
</td>
</tr>
<tr>
<td>9</td>
<td>
<img src="mozilla_mathml_test_resources/ex27.png" width="237" height="50" alt="TeXbook, 17.7" />
</td>
<td>
<math display="block">
<mrow>
<mrow>
<mo>(</mo>
<mfrac linethickness="0px">
<mi>p</mi>
<mn>2</mn>
</mfrac>
<mo>)</mo>
</mrow>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
<msup>
<mi>y</mi>
<mrow>
<mi>p</mi>
<mo>−</mo>
<mn>2</mn>
</mrow>
</msup>
<mo>−</mo>
<mfrac>
<mn>1</mn>
<mrow>
<mn>1</mn>
<mo>−</mo>
<mi>x</mi>
</mrow>
</mfrac>
<mfrac>
<mn>1</mn>
<mrow>
<mn>1</mn>
<mo>−</mo>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
</mrow>
</math>
</td>
</tr>
<tr>
<td>10</td>
<td>
<img src="mozilla_mathml_test_resources/ex29.png" width="116" height="63" alt="TeXbook, 17.7-17.8" />
</td>
<td>
<math display="block">
<mrow>
<munder>
<mo>∑</mo>
<mrow>
<mfrac linethickness="0px">
<mrow>
<mn>0</mn>
<mo>≤</mo>
<mi>i</mi>
<mo>≤</mo>
<mi>m</mi>
</mrow>
<mrow>
<mn>0</mn>
<mo><</mo>
<mi>j</mi>
<mo><</mo>
<mi>n</mi>
</mrow>
</mfrac>
</mrow>
</munder>
<mi>P</mi>
<mo stretchy="false">(</mo>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
<mo stretchy="false">)</mo>
</mrow>
</math>
</td>
</tr>
<tr>
<td>11</td>
<td>
<img src="mozilla_mathml_test_resources/ex3.png" width="27" height="18" alt="TeXbook, 16.2-16.3" />
</td>
<td>
<math display="block">
<mrow>
<msup>
<mi>x</mi>
<mrow>
<mn>2</mn>
<mi>y</mi>
</mrow>
</msup>
</mrow>
</math>
</td>
</tr>
<tr>
<td>12</td>
<td>
<img src="mozilla_mathml_test_resources/ex30.png" width="175" height="61" alt="TeXbook, 17.8" />
</td>
<td>
<math display="block">
<mrow>
<munderover>
<mo>∑</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>p</mi>
</munderover>
<munderover>
<mo>∑</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>q</mi>
</munderover>
<munderover>
<mo>∑</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>r</mi>
</munderover>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>b</mi>
<mrow>
<mi>j</mi>
<mi>k</mi>
</mrow>
</msub>
<msub>
<mi>c</mi>
<mrow>
<mi>k</mi>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</math>
</td>
</tr>
<tr>
<td>13</td>
<td>
<img src="mozilla_mathml_test_resources/ex31.png" width="405" height="100" alt="TeXbook, 17.9-17.10" />
</td>
<td>
<math display="block">
<mrow>
<msqrt>
<mn>1</mn>
<mo>+</mo>
<msqrt>
<mn>1</mn>
<mo>+</mo>
<msqrt>
<mn>1</mn>
<mo>+</mo>
<msqrt>
<mn>1</mn>
<mo>+</mo>
<msqrt>
<mn>1</mn>
<mo>+</mo>
<msqrt>
<mn>1</mn>
<mo>+</mo>
<msqrt>
<mn>1</mn>
<mo>+</mo>
<mi>x</mi>
</msqrt>
</msqrt>
</msqrt>
</msqrt>
</msqrt>
</msqrt>
</msqrt>
</mrow>
</math>
</td>
</tr>
<tr>
<td>14</td>
<td>
<img src="mozilla_mathml_test_resources/ex34.png" width="272" height="50" alt="TeXbook, 17.10" />
</td>
<td>
<math display="block">
<mrow>
<mrow>
<mo>(</mo>
<mfrac>
<msup>
<mo>∂</mo>
<mn>2</mn>
</msup>
<mrow>
<mo>∂</mo>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
<mo>+</mo>
<mfrac>
<msup>
<mo>∂</mo>
<mn>2</mn>
</msup>
<mrow>
<mo>∂</mo>
<msup>
<mi>y</mi>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
<msup>
<mrow>
<mo minsize="150%">|</mo>
<mi>φ<!-- \varphi --></mi>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>+</mo>
<mi mathvariant="normal">i</mi>
<mi>y</mi>
<mo stretchy="false">)</mo>
<mo minsize="150%">|</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<mn>0</mn>
</mrow>
</math>
</td>
</tr>
<tr>
<td>15</td>
<td>
<img src="mozilla_mathml_test_resources/ex4.png" width="31" height="22" alt="TeXbook, 16.2-16.3" />
</td>
<td>
<math display="block">
<mrow>
<msup>
<mn>2</mn>
<msup>
<mn>2</mn>
<msup>
<mn>2</mn>
<mi>x</mi>
</msup>
</msup>
</msup>
</mrow>
</math>
</td>
</tr>
<tr>
<td>16</td>
<td>
<img src="mozilla_mathml_test_resources/ex40.png" width="55" height="49" alt="TeXbook, 18.10-18.11" />
</td>
<td>
<math display="block">
<mrow>
<msubsup>
<mo stretchy="false">∫</mo>
<mn>1</mn>
<mi>x</mi>
</msubsup>
<mfrac>
<mrow>
<mi>d</mi>
<mi>t</mi>
</mrow>
<mi>t</mi>
</mfrac>
</mrow>
</math>
</td>
</tr>
<tr>
<td>17</td>
<td>
<img src="mozilla_mathml_test_resources/ex41.png" width="91" height="47" alt="TeXbook, 18.12-18.13" />
</td>
<td>
<math display="block">
<mrow>
<msub>
<mo>∬<!-- \iint --></mo>
<mi>D</mi>
</msub>
<mi>d</mi>
<mi>x</mi>
<mspace width="0.1111111111111111em"/>
<mi>d</mi>
<mi>y</mi>
</mrow>
</math>
</td>
</tr>
<tr>
<td>18</td>
<td>
<img src="mozilla_mathml_test_resources/ex43.png" width="250" height="66" alt="TeXbook, 18.23" />
</td>
<td>
<math display="block">
<mrow>
<mi>f</mi>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mrow>
<mo>{</mo>
<mtable>
<mtr>
<mtd columnalign="center">
<mrow>
<mn>1</mn>
<mo>/</mo>
<mn>3</mn>
</mrow>
</mtd>
<mtd columnalign="left">
<mrow>
<mtext>if </mtext>
<mn>0</mn>
<mo>≤</mo>
<mi>x</mi>
<mo>≤</mo>
<mn>1</mn>
<mo>;</mo>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd columnalign="center">
<mrow>
<mn>2</mn>
<mo>/</mo>
<mn>3</mn>
</mrow>
</mtd>
<mtd columnalign="center">
<mrow>
<mtext>if </mtext>
<mn>3</mn>
<mo>≤</mo>
<mi>x</mi>
<mo>≤</mo>
<mn>4</mn>
<mo>;</mo>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd columnalign="center">
<mn>0</mn>
</mtd>
<mtd columnalign="left">
<mtext>elsewhere.</mtext>
</mtd>
</mtr>
</mtable>
</mrow>
</mrow>
</math>
</td>
</tr>
<tr>
<td>19</td>
<td>
<img src="mozilla_mathml_test_resources/ex44.png" width="101" height="44" alt="TeXbook, 18.23-18.24" />
</td>
<td>
<math display="block">
<mover>
<mrow>
<mi>x</mi>
<mo>+</mo>
<mo>...</mo>
<mo>+</mo>
<mi>x</mi>
</mrow>
<mover>
<mo>⏞</mo>
<mrow>
<mi>k</mi>
<mspace width="0.1111111111111111em"/>
<mtext>times</mtext>
</mrow>
</mover>
</mover>
</math>
</td>
</tr>
<tr>
<td>20</td>
<td>
<img src="mozilla_mathml_test_resources/ex5.png" width="25" height="13" alt="TeXbook, 16.2-16.3" />
</td>
<td>
<math display="block">
<mrow>
<msub>
<mi>y</mi>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
</msub>
</mrow>
</math>
</td>
</tr>
<tr>
<td>21</td>
<td>
<img src="mozilla_mathml_test_resources/ex51.png" width="253" height="56" alt="TeXbook, 18.40" />
</td>
<td>
<math display="block">
<mrow>
<munder>
<mo>∑</mo>
<mrow>
<mi>p</mi>
<mtext> prime</mtext>
</mrow>
</munder>
<mi>f</mi>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<msub>
<mo stretchy="false">∫</mo>
<mrow>
<mi>t</mi>
<mo>></mo>
<mn>1</mn>
</mrow>
</msub>
<mi>f</mi>
<mo stretchy="false">(</mo>
<mi>t</mi>
<mo stretchy="false">)</mo>
<mspace width="0.1111111111111111em"/>
<mi>d</mi>
<mi>π</mi>
<mo stretchy="false">(</mo>
<mi>t</mi>
<mo stretchy="false">)</mo>
</mrow>
</math>
</td>
</tr>
<tr>
<td>22</td>
<td>
<img src="mozilla_mathml_test_resources/ex52.png" width="159" height="81" alt="TeXbook, 18.41" />
</td>
<td>
<math display="block">
<mrow>
<mo stretchy="false">{</mo>
<munder>
<mrow>
<mover>
<mrow>
<mpadded width="0em">
<mphantom>
<mo>(</mo>
</mphantom>
</mpadded>
<mi>a</mi>
<mo>,</mo>
<mo>...</mo>
<mo>,</mo>
<mi>a</mi>
</mrow>
<mover>
<mo>⏞</mo>
<mrow>
<mi>k</mi>
<mtext> </mtext>
<mi>a</mi>
<mtext>'s</mtext>
</mrow>
</mover>
</mover>
<mo>,</mo>
<mover>
<mrow>
<mpadded width="0em">
<mphantom>
<mo>(</mo>
</mphantom>
</mpadded>
<mi>b</mi>
<mo>,</mo>
<mo>...</mo>
<mo>,</mo>
<mi>b</mi>
</mrow>
<mover>
<mo>⏞</mo>
<mrow>
<mi>ℓ</mi>
<mtext> </mtext>
<mi>b</mi>
<mtext>'s</mtext>
</mrow>
</mover>
</mover>
</mrow>
<munder>
<mo>⏟</mo>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mi>ℓ</mi>
<mtext> elements</mtext>
</mrow>
</munder>
</munder>
<mo stretchy="false">}</mo>
</mrow>
</math>
</td>
</tr>
<tr>
<td>23</td>
<td>
<img src="mozilla_mathml_test_resources/ex53.png" width="213" height="108" alt="TeXbook, 18.42" />
</td>
<td>
<math display="block">
<mrow>
<mo>(</mo>
<mtable>
<mtr>
<mtd columnalign="center">
<mrow>
<mo>(</mo>
<mtable>
<mtr>
<mtd columnalign="center">
<mi>a</mi>
</mtd>
<mtd columnalign="center">
<mi>b</mi>
</mtd>
</mtr>
<mtr>
<mtd columnalign="center">
<mi>c</mi>
</mtd>
<mtd columnalign="center">
<mi>d</mi>
</mtd>
</mtr>
</mtable>
<mo>)</mo>
</mrow>
</mtd>
<mtd columnalign="center">
<mrow>
<mo>(</mo>
<mtable>
<mtr>
<mtd columnalign="center">
<mi>e</mi>
</mtd>
<mtd columnalign="center">
<mi>f</mi>
</mtd>
</mtr>
<mtr>
<mtd columnalign="center">
<mi>g</mi>
</mtd>
<mtd columnalign="center">
<mi>h</mi>
</mtd>
</mtr>
</mtable>
<mo>)</mo>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd columnalign="center">
<mn>0</mn>
</mtd>
<mtd columnalign="center">
<mrow>
<mo>(</mo>
<mtable>
<mtr>
<mtd columnalign="center">
<mi>i</mi>
</mtd>
<mtd columnalign="center">
<mi>j</mi>
</mtd>
</mtr>
<mtr>
<mtd columnalign="center">
<mi>k</mi>
</mtd>
<mtd columnalign="center">
<mi>l</mi>
</mtd>
</mtr>
</mtable>
<mo>)</mo>
</mrow>
</mtd>
</mtr>
</mtable>
<mo>)</mo>
</mrow>
</math>
</td>
</tr>
<tr>
<td>24</td>
<td>
<img src="mozilla_mathml_test_resources/ex54.png" width="344" height="130" alt="TeXbook, 18.43" />
</td>
<td>
<math display="block">
<mrow>
<mi>det</mi>
<mrow>
<mo>|</mo>
<mtable>
<mtr>
<mtd columnalign="center">
<msub>
<mi>c</mi>
<mn>0</mn>
</msub>
</mtd>
<mtd columnalign="center">
<msub>
<mi>c</mi>
<mn>1</mn>
</msub>
</mtd>
<mtd columnalign="center">