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">
  16 n! + \sin(x_n^2)</tt>
  17  and <tt class="math">
  18 A_\text{c} =
  19 \frac{\pi}{4} d^2</tt>
  20 , as well as displayed math via the
  21 <cite>math</cite> directive:</p>
  22 <pre class="math">
  23 f(\epsilon) = \frac{1}{1 + \exp\left(\frac{\varepsilon}{k_\text{B}T}\right)}
  24 </pre>
  25 <p>Content may start on the first line of the directive, e.g.</p>
  26 <pre class="math">
  27 N = \frac{\text{number of apples}}{7}
  28 </pre>
  29 <p>Equations can be labeled with a reference name using the <tt class="docutils literal">:name:</tt> option.
  30 See <a class="reference internal" href="#eq-m">eq:M</a> and <a class="reference internal" href="#eq-schrodinger">eq:schrödinger</a> below.</p>
  31 <p>The determinant of the matrix</p>
  32 <pre class="math" id="eq-m">
  33 \mathbf{M} = \left(\begin{matrix}a&amp;b\\c&amp;d\end{matrix}\right)
  34 </pre>
  35 <p>is <tt class="math">
  36 |\mathbf{M}| = ad - bc</tt>
  37 .</p>
  38 <p>More than one display math block can be put in one math directive.
  39 For example, the following sum and integral with limits:</p>
  40 <pre class="math">
  41 \int_0^1 x^n dx = \frac{1}{n + 1}
  42 </pre>
  43 <pre class="math">
  44 \sum_{n=1}^m n = \frac{m(m+1)}{2}
  45 </pre>
  46 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  47 directives:</p>
  48 <p>The Schrödinger equation</p>
  49 <pre class="math" id="eq-schrodinger">
  50 i\hbar \frac{\partial }{\partial t}\Psi  = \hat{H}\Psi ,
  51 </pre>
  52 <p>with the <em>wave function</em> <tt class="math">
  53 \Psi </tt>
  54 , describes how the quantum state of a
  55 physical system changes in time.</p>
  56 <dl class="docutils">
  57 <dt>Math-Accents:</dt>
  58 <dd><table border="1" class="borderless first last docutils">
  59 <colgroup>
  60 <col width="33%" />
  61 <col width="33%" />
  62 <col width="33%" />
  63 </colgroup>
  64 <tbody valign="top">
  65 <tr><td><tt class="math">
  66 \acute{a}</tt>
  67       <tt class="docutils literal">\acute{a}</tt></td>
  68 <td><tt class="math">
  69 \dot{t}</tt>
  70         <tt class="docutils literal">\dot{t}</tt></td>
  71 <td><tt class="math">
  72 \hat{\gamma}</tt>
  73    <tt class="docutils literal"><span class="pre">\hat{\gamma}</span></tt></td>
  74 </tr>
  75 <tr><td><tt class="math">
  76 \grave{a}</tt>
  77       <tt class="docutils literal">\grave{a}</tt></td>
  78 <td><tt class="math">
  79 \ddot{t}</tt>
  80        <tt class="docutils literal">\ddot{t}</tt></td>
  81 <td><tt class="math">
  82 \tilde{\alpha}</tt>
  83  <tt class="docutils literal"><span class="pre">\tilde{\alpha}</span></tt></td>
  84 </tr>
  85 <tr><td><tt class="math">
  86 \breve{x}</tt>
  87       <tt class="docutils literal">\breve{x}</tt></td>
  88 <td><tt class="math">
  89 \dddot{t}</tt>
  90       <tt class="docutils literal">\dddot{t}</tt></td>
  91 <td><tt class="math">
  92 \vec{\imath}</tt>
  93    <tt class="docutils literal"><span class="pre">\vec{\imath}</span></tt></td>
  94 </tr>
  95 <tr><td><tt class="math">
  96 \check{a}</tt>
  97       <tt class="docutils literal">\check{a}</tt></td>
  98 <td><tt class="math">
  99 \bar{a}</tt>
 100         <tt class="docutils literal">\bar{a}</tt></td>
 101 <td><tt class="math">
 102 \vec{R}</tt>
 103         <tt class="docutils literal">\vec{R}</tt></td>
 104 </tr>
 105 </tbody>
 106 </table>
 107 </dd>
 108 </dl>
 109 <!-- \widetilde{xxx}
 110 \widehat{xxx} -->
 111 <p>Modulation Transfer Function:</p>
 112 <pre class="math">
 113 \text{MTF} = \left|\frac{\mathcal{F}\{s(x)\}}
 114                         {\mathcal{F}\{ s(x)\} |_{\omega _{x}=0}}\right|
 115            = \mathrm{abs}\left(\frac
 116                  {\int _{-\infty }^{\infty }s(x) \mathrm{e}^{\mathrm{i}\omega _{x}x}\mathrm{d}{x}}
 117                  {\int _{-\infty }^{\infty }s(x)\mathrm{d}{x}}
 118              \right).
 119 </pre>
 120 <p>Math split over two lines: If a double backslash is detected outside a
 121 <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>
 122 <tt class="docutils literal">align</tt> environment:</p>
 123 <pre class="math">
 124 s_{\mathrm{out}}(x) &amp; = s_{\mathrm{in}}(x') * s_\delta (x-x') \\
 125                     &amp; = \int  s_{\mathrm{in}}(x')s_\delta (x-x')\mathrm{d}x'
 126 </pre>
 127 <p>Cases (&quot;manually&quot;, with <tt class="docutils literal">matrix</tt> environment):</p>
 128 <pre class="math">
 129 \mathrm{sgn}(x) = \left\{\begin{matrix}
 130                     -1 &amp; x&lt;0\\
 131                     1 &amp; x&gt;0
 132                   \end{matrix}\right.
 133 </pre>
 134 <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
 135 HTML writers with <tt class="docutils literal"><span class="pre">--math-output=MathML</span></tt>):</p>
 136 <pre class="math">
 137 \mathrm{sgn}(x) = \begin{cases}
 138                     -1 &amp; x&lt;0\\
 139                      1 &amp; x&gt;0
 140                   \end{cases}
 141 </pre>
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