test/functional/expected/mathml_math.xhtml

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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 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  22 <mtable>
  23 <mtr>
  24 <mtd><mi>f</mi><mo>(</mo><mi>ϵ</mi><mo>)</mo><mo>=</mo><mfrac>
  25 <mrow><mn>1</mn></mrow>
  26 <mrow><mn>1</mn><mo>+</mo><mo>exp</mo><mfenced open="(" close=")">
  27 <mrow><mfrac>
  28 <mrow><mi>ε</mi></mrow>
  29 <mrow><msub><mi>k</mi><mtext>B</mtext></msub><mi>T</mi></mrow></mfrac></mrow></mfenced></mrow></mfrac></mtd></mtr></mtable></math>
  30 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  31 <mtable>
  32 <mtr>
  33 <mtd><mi>N</mi><mo>=</mo><mfrac>
  34 <mrow><mtext>number of apples</mtext></mrow>
  35 <mrow><mn>7</mn></mrow></mfrac></mtd></mtr></mtable></math>
  36 <p>The determinant of the matrix</p>
  37 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  38 <mtable>
  39 <mtr>
  40 <mtd><mstyle fontweight="bold">
  41 <mrow><mi>M</mi></mrow></mstyle><mo>=</mo><mfenced open="(" close=")">
  42 <mrow>
  43 <mtable>
  44 <mtr>
  45 <mtd><mi>a</mi></mtd>
  46 <mtd><mi>b</mi></mtd></mtr>
  47 <mtr>
  48 <mtd><mi>c</mi></mtd>
  49 <mtd><mi>d</mi></mtd></mtr></mtable></mrow></mfenced></mtd></mtr></mtable></math>
  50 <p>is <math xmlns="http://www.w3.org/1998/Math/MathML">
  51 <mrow><mo>|</mo><mstyle fontweight="bold">
  52 <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>
  53 <p>Sum and Integral with limits:</p>
  54 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  55 <mtable>
  56 <mtr>
  57 <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>
  58 <mrow><mn>1</mn></mrow>
  59 <mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mtd></mtr></mtable></math>
  60 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  61 <mtable>
  62 <mtr>
  63 <mtd><munderover><mo>∑</mo>
  64 <mrow><mi>n</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover><mi>n</mi><mo>=</mo><mfrac>
  65 <mrow><mi>m</mi><mo>(</mo><mi>m</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow>
  66 <mrow><mn>2</mn></mrow></mfrac></mtd></mtr></mtable></math>
  67 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  68 directives:</p>
  69 <p>The Schrödinger equation</p>
  70 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
  71 <mtable>
  72 <mtr>
  73 <mtd><mi>i</mi><mo>ℏ</mo><mfrac>
  74 <mrow><mo>∂</mo></mrow>
  75 <mrow><mo>∂</mo><mi>t</mi></mrow></mfrac><mo>Ψ</mo><mo>=</mo><mover>
  76 <mrow><mi>H</mi></mrow><mo>^</mo></mover><mo>Ψ</mo><mo>,</mo></mtd></mtr></mtable></math>
  77 <p>with the <em>wave function</em> <math xmlns="http://www.w3.org/1998/Math/MathML">
  78 <mrow><mo>Ψ</mo></mrow></math>, describes how the quantum state of a
  79 physical system changes in time.</p>
  80 <dl class="docutils">
  81 <dt>Math-Accents:</dt>
  82 <dd><table border="1" class="borderless first last docutils">
  83 <colgroup>
  84 <col width="33%" />
  85 <col width="33%" />
  86 <col width="33%" />
  87 </colgroup>
  88 <tbody valign="top">
  89 <tr><td><math xmlns="http://www.w3.org/1998/Math/MathML">
  90 <mrow><mover>
  91 <mrow><mi>a</mi></mrow><mo>´</mo></mover></mrow></math>      <tt class="docutils literal">\acute{a}</tt></td>
  92 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
  93 <mrow><mover>
  94 <mrow><mi>t</mi></mrow><mo>˙</mo></mover></mrow></math>        <tt class="docutils literal">\dot{t}</tt></td>
  95 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
  96 <mrow><mover>
  97 <mrow><mi>γ</mi></mrow><mo>^</mo></mover></mrow></math>   <tt class="docutils literal"><span class="pre">\hat{\gamma}</span></tt></td>
  98 </tr>
  99 <tr><td><math xmlns="http://www.w3.org/1998/Math/MathML">
 100 <mrow><mover>
 101 <mrow><mi>a</mi></mrow><mo>`</mo></mover></mrow></math>      <tt class="docutils literal">\grave{a}</tt></td>
 102 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
 103 <mrow><mover>
 104 <mrow><mi>t</mi></mrow><mo>¨</mo></mover></mrow></math>       <tt class="docutils literal">\ddot{t}</tt></td>
 105 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
 106 <mrow><mover>
 107 <mrow><mi>α</mi></mrow><mo>˜</mo></mover></mrow></math> <tt class="docutils literal"><span class="pre">\tilde{\alpha}</span></tt></td>
 108 </tr>
 109 <tr><td><math xmlns="http://www.w3.org/1998/Math/MathML">
 110 <mrow><mover>
 111 <mrow><mi>x</mi></mrow><mo>˘</mo></mover></mrow></math>      <tt class="docutils literal">\breve{x}</tt></td>
 112 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
 113 <mrow><mover>
 114 <mrow><mi>t</mi></mrow><mo>⃛</mo></mover></mrow></math>      <tt class="docutils literal">\dddot{t}</tt></td>
 115 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
 116 <mrow><mover>
 117 <mrow><mi>ı</mi></mrow><mo>⃗</mo></mover></mrow></math>   <tt class="docutils literal"><span class="pre">\vec{\imath}</span></tt></td>
 118 </tr>
 119 <tr><td><math xmlns="http://www.w3.org/1998/Math/MathML">
 120 <mrow><mover>
 121 <mrow><mi>a</mi></mrow><mo>ˇ</mo></mover></mrow></math>      <tt class="docutils literal">\check{a}</tt></td>
 122 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
 123 <mrow><mover>
 124 <mrow><mi>a</mi></mrow><mo>¯</mo></mover></mrow></math>        <tt class="docutils literal">\bar{a}</tt></td>
 125 <td><math xmlns="http://www.w3.org/1998/Math/MathML">
 126 <mrow><mover>
 127 <mrow><mi>R</mi></mrow><mo>⃗</mo></mover></mrow></math>        <tt class="docutils literal">\vec{R}</tt></td>
 128 </tr>
 129 </tbody>
 130 </table>
 131 </dd>
 132 </dl>
 133 <!-- \widetilde{xxx}
 134 \widehat{xxx} -->
 135 <p>Modulation Transfer Function:</p>
 136 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
 137 <mtable>
 138 <mtr>
 139 <mtd><mtext>MTF</mtext><mo>=</mo><mfenced open="|" close="|">
 140 <mrow><mfrac>
 141 <mrow><mi>ℱ</mi><mo>{</mo><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>}</mo></mrow>
 142 <mrow><mi>ℱ</mi><mo>{</mo><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>}</mo><msub><mo>|</mo>
 143 <mrow><msub><mi>ω</mi>
 144 <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=")">
 145 <mrow><mfrac>
 146 <mrow><munderover><mo>∫</mo>
 147 <mrow><mo>-</mo><mo>∞</mo></mrow>
 148 <mrow><mo>∞</mo></mrow></munderover><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><msup><mtext>e</mtext>
 149 <mrow><mtext>i</mtext><msub><mi>ω</mi>
 150 <mrow><mi>x</mi></mrow></msub><mi>x</mi></mrow></msup><mtext>d</mtext>
 151 <mrow><mi>x</mi></mrow></mrow>
 152 <mrow><munderover><mo>∫</mo>
 153 <mrow><mo>-</mo><mo>∞</mo></mrow>
 154 <mrow><mo>∞</mo></mrow></munderover><mi>s</mi><mo>(</mo><mi>x</mi><mo>)</mo><mtext>d</mtext>
 155 <mrow><mi>x</mi></mrow></mrow></mfrac></mrow></mfenced><mo>.</mo></mtd></mtr></mtable></math>
 156 <p>Math split over two lines:</p>
 157 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
 158 <mtable>
 159 <mtr>
 160 <mtd><msub><mi>s</mi>
 161 <mrow><mtext>out</mtext></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo></mtd>
 162 <mtd><mo>=</mo><msub><mi>s</mi>
 163 <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>
 164 <mtr>
 165 <mtd></mtd>
 166 <mtd><mo>=</mo><mo>∫</mo><msub><mi>s</mi>
 167 <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>
 168 <p>Cases (&quot;manually&quot;, with <tt class="docutils literal">matrix</tt> environment):</p>
 169 <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display">
 170 <mtable>
 171 <mtr>
 172 <mtd><mtext>sgn</mtext><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfenced open="{" close="">
 173 <mrow>
 174 <mtable>
 175 <mtr>
 176 <mtd><mo>-</mo><mn>1</mn></mtd>
 177 <mtd><mi>x</mi><mo>&lt;</mo><mn>0</mn></mtd></mtr>
 178 <mtr>
 179 <mtd><mn>1</mn></mtd>
 180 <mtd><mi>x</mi><mo>&gt;</mo><mn>0</mn></mtd></mtr></mtable></mrow></mfenced></mtd></mtr></mtable></math>
 181 <p>Cases with the AMSmath <tt class="docutils literal">cases</tt> environment (not (yet)
 182 supported by latex2MathML):</p>
 183 <div class="system-message">
 184 <p class="system-message-title">System Message: ERROR/3 (<tt class="docutils">functional/input/data/math.txt</tt>, line 103)</p>
 185 <p>
 186 Environment not supported! Supported environment: "matrix".</p>
 187 <pre class="literal-block">
 188 \mathrm{sgn}(x) = \begin{cases}
 189                     -1 &amp; x&lt;0\\
 190                      1 &amp; x&gt;0
 191                   \end{cases}
 192 </pre>
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