test/functional/expected/math_output_mathml.xhtml

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