test/functional/expected/math_output_mathjax.html

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   7 <title>Mathematics</title>
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  12 <div class="document" id="mathematics">
  13 <h1 class="title">Mathematics</h1>
  14
  15 <p>Docutils supports inline math with the prefix or postfix <tt class="docutils literal">:math:</tt>
  16 role specificator, <span class="math">\(n! + \sin(x_n^2)\)</span> and <span class="math">\(A_\text{c} =
  17 \frac{\pi}{4} d^2\)</span>, as well as displayed math via the
  18 <cite>math</cite> directive:</p>
  19 <div class="math">
  20 \begin{equation*}
  21 f(\epsilon) = \frac{1}{1 + \exp\left(\frac{\varepsilon}{k_\text{B}T}\right)}
  22 \end{equation*}
  23 </div>
  24 <p>Content may start on the first line of the directive, e.g.</p>
  25 <div class="math">
  26 \begin{equation*}
  27 N = \frac{\text{number of apples}}{7}
  28 \end{equation*}
  29 </div>
  30 <p>Equations can be labeled with a reference name using the <tt class="docutils literal">:name:</tt> option.
  31 See <a class="reference internal" href="#eq-m">eq:M</a> and <a class="reference internal" href="#eq-schrodinger">eq:schrödinger</a> below.</p>
  32 <p>The determinant of the matrix</p>
  33 <div class="math" id="eq-m">
  34 \begin{equation*}
  35 \mathbf{M} = \left(\begin{matrix}a&amp;b\\c&amp;d\end{matrix}\right)
  36 \end{equation*}
  37 </div>
  38 <p>is <span class="math">\(|\mathbf{M}| = ad - bc\)</span>.</p>
  39 <p>More than one display math block can be put in one math directive.
  40 For example, the following sum and integral with limits:</p>
  41 <div class="math">
  42 \begin{equation*}
  43 \int_0^1 x^n dx = \frac{1}{n + 1}
  44 \end{equation*}
  45 </div>
  46 <div class="math">
  47 \begin{equation*}
  48 \sum_{n=1}^m n = \frac{m(m+1)}{2}
  49 \end{equation*}
  50 </div>
  51 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  52 directives:</p>
  53 <p>The Schrödinger equation</p>
  54 <div class="math" id="eq-schrodinger">
  55 \begin{equation*}
  56 i\hbar \frac{\partial }{\partial t}\Psi  = \hat{H}\Psi ,
  57 \end{equation*}
  58 </div>
  59 <p>with the <em>wave function</em> <span class="math">\(\Psi \)</span>, describes how the quantum state of a
  60 physical system changes in time.</p>
  61 <dl class="docutils">
  62 <dt>Math-Accents:</dt>
  63 <dd><table border="1" class="colwidths-given borderless first last docutils">
  64 <colgroup>
  65 <col width="33%" />
  66 <col width="33%" />
  67 <col width="33%" />
  68 </colgroup>
  69 <tbody valign="top">
  70 <tr><td><span class="math">\(\acute{a}\)</span>      <tt class="docutils literal">\acute{a}</tt></td>
  71 <td><span class="math">\(\dot{t}\)</span>        <tt class="docutils literal">\dot{t}</tt></td>
  72 <td><span class="math">\(\hat{\gamma}\)</span>   <tt class="docutils literal"><span class="pre">\hat{\gamma}</span></tt></td>
  73 </tr>
  74 <tr><td><span class="math">\(\grave{a}\)</span>      <tt class="docutils literal">\grave{a}</tt></td>
  75 <td><span class="math">\(\ddot{t}\)</span>       <tt class="docutils literal">\ddot{t}</tt></td>
  76 <td><span class="math">\(\tilde{\alpha}\)</span> <tt class="docutils literal"><span class="pre">\tilde{\alpha}</span></tt></td>
  77 </tr>
  78 <tr><td><span class="math">\(\breve{x}\)</span>      <tt class="docutils literal">\breve{x}</tt></td>
  79 <td><span class="math">\(\dddot{t}\)</span>      <tt class="docutils literal">\dddot{t}</tt></td>
  80 <td><span class="math">\(\vec{\imath}\)</span>   <tt class="docutils literal"><span class="pre">\vec{\imath}</span></tt></td>
  81 </tr>
  82 <tr><td><span class="math">\(\check{a}\)</span>      <tt class="docutils literal">\check{a}</tt></td>
  83 <td><span class="math">\(\bar{a}\)</span>        <tt class="docutils literal">\bar{a}</tt></td>
  84 <td><span class="math">\(\vec{R}\)</span>        <tt class="docutils literal">\vec{R}</tt></td>
  85 </tr>
  86 </tbody>
  87 </table>
  88 </dd>
  89 </dl>
  90 <!-- \widetilde{xxx}
  91 \widehat{xxx} -->
  92 <p>Modulation Transfer Function:</p>
  93 <div class="math">
  94 \begin{equation*}
  95 \text{MTF} = \left|\frac{\mathcal{F}\{s(x)\}}
  96                         {\mathcal{F}\{ s(x)\} |_{\omega _{x}=0}}\right|
  97            = \mathrm{abs}\left(\frac
  98                  {\int _{-\infty }^{\infty }s(x) \mathrm{e}^{\mathrm{i}\omega _{x}x}\mathrm{d}{x}}
  99                  {\int _{-\infty }^{\infty }s(x)\mathrm{d}{x}}
 100              \right).
 101 \end{equation*}
 102 </div>
 103 <p>Math split over two lines: If a double backslash is detected outside a
 104 <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>
 105 <tt class="docutils literal">align</tt> environment:</p>
 106 <div class="math">
 107 \begin{align*}
 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 \end{align*}
 111 </div>
 112 <p>Cases (&quot;manually&quot;, with <tt class="docutils literal">matrix</tt> environment):</p>
 113 <div class="math">
 114 \begin{equation*}
 115 \mathrm{sgn}(x) = \left\{\begin{matrix}
 116                     -1 &amp; x&lt;0\\
 117                     1 &amp; x&gt;0
 118                   \end{matrix}\right.
 119 \end{equation*}
 120 </div>
 121 <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
 122 HTML writers with <tt class="docutils literal"><span class="pre">--math-output=MathML</span></tt>):</p>
 123 <div class="math">
 124 \begin{equation*}
 125 \mathrm{sgn}(x) = \begin{cases}
 126                     -1 &amp; x&lt;0\\
 127                      1 &amp; x&gt;0
 128                   \end{cases}
 129 \end{equation*}
 130 </div>
 131 </div>
 132 </body>
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