test/functional/expected/math_output_mathml.xhtml

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   6 <title>Mathematics</title>
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  11 <div class="document" id="mathematics">
  12 <h1 class="title">Mathematics</h1>
  13
  14 <p>Docutils supports inline math with the prefix or postfix <span class="docutils literal">:math:</span>
  15 role specificator, <math xmlns="http://www.w3.org/1998/Math/MathML">
  16 <mrow><mi>n</mi><mo>!</mo><mo>+</mo><mo>sin</mo><mo>(</mo><msubsup><mi>x</mi><mi>n</mi><mn>2</mn></msubsup><mo>)</mo></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML">
  17 <mrow><msub><mi>A</mi><mtext>c</mtext></msub><mo>=</mo><mfrac>
  18 <mrow><mi>π</mi></mrow>
  19 <mrow><mn>4</mn></mrow></mfrac><msup><mi>d</mi><mn>2</mn></msup></mrow></math>, as well as displayed math via the
  20 <cite>math</cite> directive:</p>
  21 <div>
  22 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  23 <mtable>
  24 <mtr>
  25 <mtd><mi>f</mi><mo>(</mo><mi>ϵ</mi><mo>)</mo><mo>=</mo><mfrac>
  26 <mrow><mn>1</mn></mrow>
  27 <mrow><mn>1</mn><mo>+</mo><mo>exp</mo><mfenced open="(" close=")">
  28 <mrow><mfrac>
  29 <mrow><mi>ε</mi></mrow>
  30 <mrow><msub><mi>k</mi><mtext>B</mtext></msub><mi>T</mi></mrow></mfrac></mrow></mfenced></mrow></mfrac></mtd></mtr></mtable></math>
  31 </div>
  32 <p>Content may start on the first line of the directive, e.g.</p>
  33 <div>
  34 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  35 <mtable>
  36 <mtr>
  37 <mtd><mi>N</mi><mo>=</mo><mfrac>
  38 <mrow><mtext>number of apples</mtext></mrow>
  39 <mrow><mn>7</mn></mrow></mfrac></mtd></mtr></mtable></math>
  40 </div>
  41 <p>Equations can be labeled with a reference name using the <span class="docutils literal">:name:</span> option.
  42 See <a class="reference internal" href="#eq-m">eq:M</a> and <a class="reference internal" href="#eq-schrodinger">eq:schrödinger</a> below.</p>
  43 <p>The determinant of the matrix</p>
  44 <div id="eq-m">
  45 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  46 <mtable>
  47 <mtr>
  48 <mtd><mstyle fontweight="bold">
  49 <mrow><mi>M</mi></mrow></mstyle><mo>=</mo><mfenced open="(" close=")">
  50 <mrow>
  51 <mtable>
  52 <mtr>
  53 <mtd><mi>a</mi></mtd>
  54 <mtd><mi>b</mi></mtd></mtr>
  55 <mtr>
  56 <mtd><mi>c</mi></mtd>
  57 <mtd><mi>d</mi></mtd></mtr></mtable></mrow></mfenced></mtd></mtr></mtable></math>
  58 </div>
  59 <p>is <math xmlns="http://www.w3.org/1998/Math/MathML">
  60 <mrow><mo>|</mo><mstyle fontweight="bold">
  61 <mrow><mi>M</mi></mrow></mstyle><mo>|</mo><mo>=</mo><mi>a</mi><mi>d</mi><mo>-</mo><mi>b</mi><mi>c</mi></mrow></math>.</p>
  62 <p>More than one display math block can be put in one math directive.
  63 For example, the following sum and integral with limits:</p>
  64 <div>
  65 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  66 <mtable>
  67 <mtr>
  68 <mtd><munderover><mo>∫</mo><mn>0</mn><mn>1</mn></munderover><msup><mi>x</mi><mi>n</mi></msup><mi>d</mi><mi>x</mi><mo>=</mo><mfrac>
  69 <mrow><mn>1</mn></mrow>
  70 <mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mtd></mtr></mtable></math>
  71 </div>
  72 <div>
  73 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  74 <mtable>
  75 <mtr>
  76 <mtd><munderover><mo>∑</mo>
  77 <mrow><mi>n</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover><mi>n</mi><mo>=</mo><mfrac>
  78 <mrow><mi>m</mi><mo>(</mo><mi>m</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow>
  79 <mrow><mn>2</mn></mrow></mfrac></mtd></mtr></mtable></math>
  80 </div>
  81 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  82 directives:</p>
  83 <p>The Schrödinger equation</p>
  84 <div id="eq-schrodinger">
  85 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  86 <mtable>
  87 <mtr>
  88 <mtd><mi>i</mi><mi>ℏ</mi><mfrac>
  89 <mrow><mo>∂</mo></mrow>
  90 <mrow><mo>∂</mo><mi>t</mi></mrow></mfrac><mo>Ψ</mo><mo>=</mo><mover>
  91 <mrow><mi>H</mi></mrow><mo>^</mo></mover><mo>Ψ</mo><mo>,</mo></mtd></mtr></mtable></math>
  92 </div>
  93 <p>with the <em>wave function</em> <math xmlns="http://www.w3.org/1998/Math/MathML">
  94 <mrow><mo>Ψ</mo></mrow></math>, describes how the quantum state of a
  95 physical system changes in time.</p>
  96 <dl>
  97 <dt>Math-Accents:</dt>
  98 <dd><table class="colwidths-given borderless">
  99 <colgroup>
 100 <col style="width: 33%" />
 101 <col style="width: 33%" />
 102 <col style="width: 33%" />
 103 </colgroup>
 104 <tbody>
 105 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 106 <mrow><mover>
 107 <mrow><mi>a</mi></mrow><mo>´</mo></mover></mrow></math>      <span class="docutils literal">\acute{a}</span></p></td>
 108 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 109 <mrow><mover>
 110 <mrow><mi>t</mi></mrow><mo>˙</mo></mover></mrow></math>        <span class="docutils literal">\dot{t}</span></p></td>
 111 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 112 <mrow><mover>
 113 <mrow><mi>γ</mi></mrow><mo>^</mo></mover></mrow></math>   <span class="docutils literal"><span class="pre">\hat{\gamma}</span></span></p></td>
 114 </tr>
 115 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 116 <mrow><mover>
 117 <mrow><mi>a</mi></mrow><mo>`</mo></mover></mrow></math>      <span class="docutils literal">\grave{a}</span></p></td>
 118 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 119 <mrow><mover>
 120 <mrow><mi>t</mi></mrow><mo>¨</mo></mover></mrow></math>       <span class="docutils literal">\ddot{t}</span></p></td>
 121 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 122 <mrow><mover>
 123 <mrow><mi>α</mi></mrow><mo>˜</mo></mover></mrow></math> <span class="docutils literal"><span class="pre">\tilde{\alpha}</span></span></p></td>
 124 </tr>
 125 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 126 <mrow><mover>
 127 <mrow><mi>x</mi></mrow><mo>˘</mo></mover></mrow></math>      <span class="docutils literal">\breve{x}</span></p></td>
 128 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 129 <mrow><mover>
 130 <mrow><mi>t</mi></mrow><mo>⃛</mo></mover></mrow></math>      <span class="docutils literal">\dddot{t}</span></p></td>
 131 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 132 <mrow><mover>
 133 <mrow><mi>ı</mi></mrow><mo>⃗</mo></mover></mrow></math>   <span class="docutils literal"><span class="pre">\vec{\imath}</span></span></p></td>
 134 </tr>
 135 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 136 <mrow><mover>
 137 <mrow><mi>a</mi></mrow><mo>ˇ</mo></mover></mrow></math>      <span class="docutils literal">\check{a}</span></p></td>
 138 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 139 <mrow><mover>
 140 <mrow><mi>a</mi></mrow><mo>¯</mo></mover></mrow></math>        <span class="docutils literal">\bar{a}</span></p></td>
 141 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 142 <mrow><mover>
 143 <mrow><mi>R</mi></mrow><mo>⃗</mo></mover></mrow></math>        <span class="docutils literal">\vec{R}</span></p></td>
 144 </tr>
 145 </tbody>
 146 </table>
 147 </dd>
 148 </dl>
 149 <!-- \widetilde{xxx}
 150 \widehat{xxx} -->
 151 <p>Modulation Transfer Function:</p>
 152 <div>
 153 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
 154 <mtable>
 155 <mtr>
 156 <mtd><mtext>MTF</mtext><mo>=</mo><mfenced open="|" close="|">
 157 <mrow><mfrac>
 158 <mrow><mi>ℱ</mi><mo>{</mo><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>}</mo></mrow>
 159 <mrow><mi>ℱ</mi><mo>{</mo><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>}</mo><msub><mo>|</mo>
 160 <mrow><msub><mi>ω</mi>
 161 <mrow><mi>x</mi></mrow></msub><mo>=</mo><mn>0</mn></mrow></msub></mrow></mfrac></mrow></mfenced><mo>=</mo><mtext>abs</mtext><mfenced open="(" close=")">
 162 <mrow><mfrac>
 163 <mrow><munderover><mo>∫</mo>
 164 <mrow><mo>-</mo><mo>∞</mo></mrow>
 165 <mrow><mo>∞</mo></mrow></munderover><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><msup><mtext>e</mtext>
 166 <mrow><mtext>i</mtext><msub><mi>ω</mi>
 167 <mrow><mi>x</mi></mrow></msub><mi>x</mi></mrow></msup><mtext>d</mtext>
 168 <mrow><mi>x</mi></mrow></mrow>
 169 <mrow><munderover><mo>∫</mo>
 170 <mrow><mo>-</mo><mo>∞</mo></mrow>
 171 <mrow><mo>∞</mo></mrow></munderover><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><mtext>d</mtext>
 172 <mrow><mi>x</mi></mrow></mrow></mfrac></mrow></mfenced><mo>.</mo></mtd></mtr></mtable></math>
 173 </div>
 174 <p>Math split over two lines: If a double backslash is detected outside a
 175 <span class="docutils literal"><span class="pre">\begin{...}</span> <span class="pre">\end{...}</span></span> pair, the math code is wrapped in an <a class="reference external" href="ftp://ftp.ams.org/ams/doc/amsmath/short-math-guide.pdf">AMSmath</a>
 176 <span class="docutils literal">align</span> environment:</p>
 177 <div>
 178 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
 179 <mtable>
 180 <mtr>
 181 <mtd><msub><mi>s</mi>
 182 <mrow><mtext>out</mtext></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo></mtd>
 183 <mtd><mo>=</mo><msub><mi>s</mi>
 184 <mrow><mtext>in</mtext></mrow></msub><mo>(</mo><mi>x</mi><mo>'</mo><mo>)</mo><mo>*</mo><msub><mi>s</mi><mi>δ</mi></msub><mo>(</mo><mi>x</mi><mo>-</mo><mi>x</mi><mo>'</mo><mo>)</mo></mtd></mtr>
 185 <mtr>
 186 <mtd></mtd>
 187 <mtd><mo>=</mo><mo>∫</mo><msub><mi>s</mi>
 188 <mrow><mtext>in</mtext></mrow></msub><mo>(</mo><mi>x</mi><mo>'</mo><mo>)</mo><msub><mi>s</mi><mi>δ</mi></msub><mo>(</mo><mi>x</mi><mo>-</mo><mi>x</mi><mo>'</mo><mo>)</mo><mtext>d</mtext><mi>x</mi><mo>'</mo></mtd></mtr></mtable></math>
 189 </div>
 190 <p>Cases (&quot;manually&quot;, with <span class="docutils literal">matrix</span> environment):</p>
 191 <div>
 192 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
 193 <mtable>
 194 <mtr>
 195 <mtd><mtext>sgn</mtext><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfenced open="{" close="">
 196 <mrow>
 197 <mtable>
 198 <mtr>
 199 <mtd><mo>-</mo><mn>1</mn></mtd>
 200 <mtd><mi>x</mi><mo>&lt;</mo><mn>0</mn></mtd></mtr>
 201 <mtr>
 202 <mtd><mn>1</mn></mtd>
 203 <mtd><mi>x</mi><mo>&gt;</mo><mn>0</mn></mtd></mtr></mtable></mrow></mfenced></mtd></mtr></mtable></math>
 204 </div>
 205 <p>Cases with the <a class="reference external" href="ftp://ftp.ams.org/ams/doc/amsmath/short-math-guide.pdf">AMSmath</a> <span class="docutils literal">cases</span> environment (not (yet) supported by
 206 HTML writers with <span class="docutils literal"><span class="pre">--math-output=MathML</span></span>):</p>
 207 <div class="system-message">
 208 <p class="system-message-title">System Message: ERROR/3 (<span class="docutils literal">functional/input/data/math.txt</span>, line 108)</p>
 209 <p>
 210 Environment not supported! Supported environment: "matrix".</p>
 211 <pre class="literal-block">
 212 \mathrm{sgn}(x) = \begin{cases}
 213                     -1 &amp; x&lt;0\\
 214                      1 &amp; x&gt;0
 215                   \end{cases}
 216 </pre>
 217 </div>
 218 </div>
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