test/functional/expected/math_output_mathjax.html

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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>
  17  and <span class="math">\(A_\text{c} =
  18 \frac{\pi}{4} d^2\)</span>
  19 , as well as displayed math via the
  20 <cite>math</cite> directive:</p>
  21 <div class="math">
  22 \begin{equation*}
  23 f(\epsilon) = \frac{1}{1 + \exp\left(\frac{\varepsilon}{k_\text{B}T}\right)}
  24 \end{equation*}
  25 </div>
  26 <p>Content may start on the first line of the directive, e.g.</p>
  27 <div class="math">
  28 \begin{equation*}
  29 N = \frac{\text{number of apples}}{7}
  30 \end{equation*}
  31 </div>
  32 <p>Equations can be labeled with a reference name using the <tt class="docutils literal">:name:</tt> option.
  33 See <a class="reference internal" href="#eq-m">eq:M</a> and <a class="reference internal" href="#eq-schrodinger">eq:schrödinger</a> below.</p>
  34 <p>The determinant of the matrix</p>
  35 <div class="math" id="eq-m">
  36 \begin{equation*}
  37 \mathbf{M} = \left(\begin{matrix}a&amp;b\\c&amp;d\end{matrix}\right)
  38 \end{equation*}
  39 </div>
  40 <p>is <span class="math">\(|\mathbf{M}| = ad - bc\)</span>
  41 .</p>
  42 <p>More than one display math block can be put in one math directive.
  43 For example, the following sum and integral with limits:</p>
  44 <div class="math">
  45 \begin{equation*}
  46 \int_0^1 x^n dx = \frac{1}{n + 1}
  47 \end{equation*}
  48 </div>
  49 <div class="math">
  50 \begin{equation*}
  51 \sum_{n=1}^m n = \frac{m(m+1)}{2}
  52 \end{equation*}
  53 </div>
  54 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  55 directives:</p>
  56 <p>The Schrödinger equation</p>
  57 <div class="math" id="eq-schrodinger">
  58 \begin{equation*}
  59 i\hbar \frac{\partial }{\partial t}\Psi  = \hat{H}\Psi ,
  60 \end{equation*}
  61 </div>
  62 <p>with the <em>wave function</em> <span class="math">\(\Psi \)</span>
  63 , describes how the quantum state of a
  64 physical system changes in time.</p>
  65 <dl class="docutils">
  66 <dt>Math-Accents:</dt>
  67 <dd><table border="1" class="borderless first last docutils">
  68 <colgroup>
  69 <col width="33%" />
  70 <col width="33%" />
  71 <col width="33%" />
  72 </colgroup>
  73 <tbody valign="top">
  74 <tr><td><span class="math">\(\acute{a}\)</span>
  75       <tt class="docutils literal">\acute{a}</tt></td>
  76 <td><span class="math">\(\dot{t}\)</span>
  77         <tt class="docutils literal">\dot{t}</tt></td>
  78 <td><span class="math">\(\hat{\gamma}\)</span>
  79    <tt class="docutils literal"><span class="pre">\hat{\gamma}</span></tt></td>
  80 </tr>
  81 <tr><td><span class="math">\(\grave{a}\)</span>
  82       <tt class="docutils literal">\grave{a}</tt></td>
  83 <td><span class="math">\(\ddot{t}\)</span>
  84        <tt class="docutils literal">\ddot{t}</tt></td>
  85 <td><span class="math">\(\tilde{\alpha}\)</span>
  86  <tt class="docutils literal"><span class="pre">\tilde{\alpha}</span></tt></td>
  87 </tr>
  88 <tr><td><span class="math">\(\breve{x}\)</span>
  89       <tt class="docutils literal">\breve{x}</tt></td>
  90 <td><span class="math">\(\dddot{t}\)</span>
  91       <tt class="docutils literal">\dddot{t}</tt></td>
  92 <td><span class="math">\(\vec{\imath}\)</span>
  93    <tt class="docutils literal"><span class="pre">\vec{\imath}</span></tt></td>
  94 </tr>
  95 <tr><td><span class="math">\(\check{a}\)</span>
  96       <tt class="docutils literal">\check{a}</tt></td>
  97 <td><span class="math">\(\bar{a}\)</span>
  98         <tt class="docutils literal">\bar{a}</tt></td>
  99 <td><span class="math">\(\vec{R}\)</span>
 100         <tt class="docutils literal">\vec{R}</tt></td>
 101 </tr>
 102 </tbody>
 103 </table>
 104 </dd>
 105 </dl>
 106 <!-- \widetilde{xxx}
 107 \widehat{xxx} -->
 108 <p>Modulation Transfer Function:</p>
 109 <div class="math">
 110 \begin{equation*}
 111 \text{MTF} = \left|\frac{\mathcal{F}\{s(x)\}}
 112                         {\mathcal{F}\{ s(x)\} |_{\omega _{x}=0}}\right|
 113            = \mathrm{abs}\left(\frac
 114                  {\int _{-\infty }^{\infty }s(x) \mathrm{e}^{\mathrm{i}\omega _{x}x}\mathrm{d}{x}}
 115                  {\int _{-\infty }^{\infty }s(x)\mathrm{d}{x}}
 116              \right).
 117 \end{equation*}
 118 </div>
 119 <p>Math split over two lines: If a double backslash is detected outside a
 120 <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>
 121 <tt class="docutils literal">align</tt> environment:</p>
 122 <div class="math">
 123 \begin{align*}
 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 \end{align*}
 127 </div>
 128 <p>Cases (&quot;manually&quot;, with <tt class="docutils literal">matrix</tt> environment):</p>
 129 <div class="math">
 130 \begin{equation*}
 131 \mathrm{sgn}(x) = \left\{\begin{matrix}
 132                     -1 &amp; x&lt;0\\
 133                     1 &amp; x&gt;0
 134                   \end{matrix}\right.
 135 \end{equation*}
 136 </div>
 137 <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
 138 HTML writers with <tt class="docutils literal"><span class="pre">--math-output=MathML</span></tt>):</p>
 139 <div class="math">
 140 \begin{equation*}
 141 \mathrm{sgn}(x) = \begin{cases}
 142                     -1 &amp; x&lt;0\\
 143                      1 &amp; x&gt;0
 144                   \end{cases}
 145 \end{equation*}
 146 </div>
 147 </div>
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