test/functional/expected/math_output_latex.html

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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, <tt class="math">n! + \sin(x_n^2)</tt>
  16  and <tt class="math">A_\text{c} =
  17 \frac{\pi}{4} d^2</tt>
  18 , as well as displayed math via the
  19 <cite>math</cite> directive:</p>
  20 <pre class="math">
  21 f(\epsilon) = \frac{1}{1 + \exp\left(\frac{\varepsilon}{k_\text{B}T}\right)}
  22 </pre>
  23 <p>Content may start on the first line of the directive, e.g.</p>
  24 <pre class="math">
  25 N = \frac{\text{number of apples}}{7}
  26 </pre>
  27 <p>Equations can be labeled with a reference name using the <tt class="docutils literal">:name:</tt> option.
  28 See <a class="reference internal" href="#eq-m">eq:M</a> and <a class="reference internal" href="#eq-schrodinger">eq:schrödinger</a> below.</p>
  29 <p>The determinant of the matrix</p>
  30 <pre class="math" id="eq-m">
  31 \mathbf{M} = \left(\begin{matrix}a&amp;b\\c&amp;d\end{matrix}\right)
  32 </pre>
  33 <p>is <tt class="math">|\mathbf{M}| = ad - bc</tt>
  34 .</p>
  35 <p>More than one display math block can be put in one math directive.
  36 For example, the following sum and integral with limits:</p>
  37 <pre class="math">
  38 \int_0^1 x^n dx = \frac{1}{n + 1}
  39 </pre>
  40 <pre class="math">
  41 \sum_{n=1}^m n = \frac{m(m+1)}{2}
  42 </pre>
  43 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  44 directives:</p>
  45 <p>The Schrödinger equation</p>
  46 <pre class="math" id="eq-schrodinger">
  47 i\hbar \frac{\partial }{\partial t}\Psi  = \hat{H}\Psi ,
  48 </pre>
  49 <p>with the <em>wave function</em> <tt class="math">\Psi </tt>
  50 , describes how the quantum state of a
  51 physical system changes in time.</p>
  52 <dl class="docutils">
  53 <dt>Math-Accents:</dt>
  54 <dd><table border="1" class="borderless first last docutils">
  55 <colgroup>
  56 <col width="33%" />
  57 <col width="33%" />
  58 <col width="33%" />
  59 </colgroup>
  60 <tbody valign="top">
  61 <tr><td><tt class="math">\acute{a}</tt>
  62       <tt class="docutils literal">\acute{a}</tt></td>
  63 <td><tt class="math">\dot{t}</tt>
  64         <tt class="docutils literal">\dot{t}</tt></td>
  65 <td><tt class="math">\hat{\gamma}</tt>
  66    <tt class="docutils literal"><span class="pre">\hat{\gamma}</span></tt></td>
  67 </tr>
  68 <tr><td><tt class="math">\grave{a}</tt>
  69       <tt class="docutils literal">\grave{a}</tt></td>
  70 <td><tt class="math">\ddot{t}</tt>
  71        <tt class="docutils literal">\ddot{t}</tt></td>
  72 <td><tt class="math">\tilde{\alpha}</tt>
  73  <tt class="docutils literal"><span class="pre">\tilde{\alpha}</span></tt></td>
  74 </tr>
  75 <tr><td><tt class="math">\breve{x}</tt>
  76       <tt class="docutils literal">\breve{x}</tt></td>
  77 <td><tt class="math">\dddot{t}</tt>
  78       <tt class="docutils literal">\dddot{t}</tt></td>
  79 <td><tt class="math">\vec{\imath}</tt>
  80    <tt class="docutils literal"><span class="pre">\vec{\imath}</span></tt></td>
  81 </tr>
  82 <tr><td><tt class="math">\check{a}</tt>
  83       <tt class="docutils literal">\check{a}</tt></td>
  84 <td><tt class="math">\bar{a}</tt>
  85         <tt class="docutils literal">\bar{a}</tt></td>
  86 <td><tt class="math">\vec{R}</tt>
  87         <tt class="docutils literal">\vec{R}</tt></td>
  88 </tr>
  89 </tbody>
  90 </table>
  91 </dd>
  92 </dl>
  93 <!-- \widetilde{xxx}
  94 \widehat{xxx} -->
  95 <p>Modulation Transfer Function:</p>
  96 <pre class="math">
  97 \text{MTF} = \left|\frac{\mathcal{F}\{s(x)\}}
  98                         {\mathcal{F}\{ s(x)\} |_{\omega _{x}=0}}\right|
  99            = \mathrm{abs}\left(\frac
 100                  {\int _{-\infty }^{\infty }s(x) \mathrm{e}^{\mathrm{i}\omega _{x}x}\mathrm{d}{x}}
 101                  {\int _{-\infty }^{\infty }s(x)\mathrm{d}{x}}
 102              \right).
 103 </pre>
 104 <p>Math split over two lines: If a double backslash is detected outside a
 105 <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>
 106 <tt class="docutils literal">align</tt> environment:</p>
 107 <pre class="math">
 108 s_{\mathrm{out}}(x) &amp; = s_{\mathrm{in}}(x') * s_\delta (x-x') \\
 109                     &amp; = \int  s_{\mathrm{in}}(x')s_\delta (x-x')\mathrm{d}x'
 110 </pre>
 111 <p>Cases (&quot;manually&quot;, with <tt class="docutils literal">matrix</tt> environment):</p>
 112 <pre class="math">
 113 \mathrm{sgn}(x) = \left\{\begin{matrix}
 114                     -1 &amp; x&lt;0\\
 115                     1 &amp; x&gt;0
 116                   \end{matrix}\right.
 117 </pre>
 118 <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
 119 HTML writers with <tt class="docutils literal"><span class="pre">--math-output=MathML</span></tt>):</p>
 120 <pre class="math">
 121 \mathrm{sgn}(x) = \begin{cases}
 122                     -1 &amp; x&lt;0\\
 123                      1 &amp; x&gt;0
 124                   \end{cases}
 125 </pre>
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