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">
  17 \(n! + \sin(x_n^2)\)</span>
  18  and <span class="math">
  19 \(A_\text{c} =
  20 \frac{\pi}{4} d^2\)</span>
  21 , as well as displayed math via the
  22 <cite>math</cite> directive:</p>
  23 <div class="math">
  24 \begin{equation*}
  25 f(\epsilon) = \frac{1}{1 + \exp\left(\frac{\varepsilon}{k_\text{B}T}\right)}
  26 \end{equation*}
  27 </div>
  28 <p>Content may start on the first line of the directive, e.g.</p>
  29 <div class="math">
  30 \begin{equation*}
  31 N = \frac{\text{number of apples}}{7}
  32 \end{equation*}
  33 </div>
  34 <p>Equations can be labeled with a reference name using the <tt class="docutils literal">:name:</tt> option.
  35 See <a class="reference internal" href="#eq-m">eq:M</a> and <a class="reference internal" href="#eq-schrodinger">eq:schrödinger</a> below.</p>
  36 <p>The determinant of the matrix</p>
  37 <div class="math" id="eq-m">
  38 \begin{equation*}
  39 \mathbf{M} = \left(\begin{matrix}a&amp;b\\c&amp;d\end{matrix}\right)
  40 \end{equation*}
  41 </div>
  42 <p>is <span class="math">
  43 \(|\mathbf{M}| = ad - bc\)</span>
  44 .</p>
  45 <p>More than one display math block can be put in one math directive.
  46 For example, the following sum and integral with limits:</p>
  47 <div class="math">
  48 \begin{equation*}
  49 \int_0^1 x^n dx = \frac{1}{n + 1}
  50 \end{equation*}
  51 </div>
  52 <div class="math">
  53 \begin{equation*}
  54 \sum_{n=1}^m n = \frac{m(m+1)}{2}
  55 \end{equation*}
  56 </div>
  57 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  58 directives:</p>
  59 <p>The Schrödinger equation</p>
  60 <div class="math" id="eq-schrodinger">
  61 \begin{equation*}
  62 i\hbar \frac{\partial }{\partial t}\Psi  = \hat{H}\Psi ,
  63 \end{equation*}
  64 </div>
  65 <p>with the <em>wave function</em> <span class="math">
  66 \(\Psi \)</span>
  67 , describes how the quantum state of a
  68 physical system changes in time.</p>
  69 <dl class="docutils">
  70 <dt>Math-Accents:</dt>
  71 <dd><table border="1" class="borderless first last docutils">
  72 <colgroup>
  73 <col width="33%" />
  74 <col width="33%" />
  75 <col width="33%" />
  76 </colgroup>
  77 <tbody valign="top">
  78 <tr><td><span class="math">
  79 \(\acute{a}\)</span>
  80       <tt class="docutils literal">\acute{a}</tt></td>
  81 <td><span class="math">
  82 \(\dot{t}\)</span>
  83         <tt class="docutils literal">\dot{t}</tt></td>
  84 <td><span class="math">
  85 \(\hat{\gamma}\)</span>
  86    <tt class="docutils literal"><span class="pre">\hat{\gamma}</span></tt></td>
  87 </tr>
  88 <tr><td><span class="math">
  89 \(\grave{a}\)</span>
  90       <tt class="docutils literal">\grave{a}</tt></td>
  91 <td><span class="math">
  92 \(\ddot{t}\)</span>
  93        <tt class="docutils literal">\ddot{t}</tt></td>
  94 <td><span class="math">
  95 \(\tilde{\alpha}\)</span>
  96  <tt class="docutils literal"><span class="pre">\tilde{\alpha}</span></tt></td>
  97 </tr>
  98 <tr><td><span class="math">
  99 \(\breve{x}\)</span>
 100       <tt class="docutils literal">\breve{x}</tt></td>
 101 <td><span class="math">
 102 \(\dddot{t}\)</span>
 103       <tt class="docutils literal">\dddot{t}</tt></td>
 104 <td><span class="math">
 105 \(\vec{\imath}\)</span>
 106    <tt class="docutils literal"><span class="pre">\vec{\imath}</span></tt></td>
 107 </tr>
 108 <tr><td><span class="math">
 109 \(\check{a}\)</span>
 110       <tt class="docutils literal">\check{a}</tt></td>
 111 <td><span class="math">
 112 \(\bar{a}\)</span>
 113         <tt class="docutils literal">\bar{a}</tt></td>
 114 <td><span class="math">
 115 \(\vec{R}\)</span>
 116         <tt class="docutils literal">\vec{R}</tt></td>
 117 </tr>
 118 </tbody>
 119 </table>
 120 </dd>
 121 </dl>
 122 <!-- \widetilde{xxx}
 123 \widehat{xxx} -->
 124 <p>Modulation Transfer Function:</p>
 125 <div class="math">
 126 \begin{equation*}
 127 \text{MTF} = \left|\frac{\mathcal{F}\{s(x)\}}
 128                         {\mathcal{F}\{ s(x)\} |_{\omega _{x}=0}}\right|
 129            = \mathrm{abs}\left(\frac
 130                  {\int _{-\infty }^{\infty }s(x) \mathrm{e}^{\mathrm{i}\omega _{x}x}\mathrm{d}{x}}
 131                  {\int _{-\infty }^{\infty }s(x)\mathrm{d}{x}}
 132              \right).
 133 \end{equation*}
 134 </div>
 135 <p>Math split over two lines: If a double backslash is detected outside a
 136 <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>
 137 <tt class="docutils literal">align</tt> environment:</p>
 138 <div class="math">
 139 \begin{align*}
 140 s_{\mathrm{out}}(x) &amp; = s_{\mathrm{in}}(x') * s_\delta (x-x') \\
 141                     &amp; = \int  s_{\mathrm{in}}(x')s_\delta (x-x')\mathrm{d}x'
 142 \end{align*}
 143 </div>
 144 <p>Cases (&quot;manually&quot;, with <tt class="docutils literal">matrix</tt> environment):</p>
 145 <div class="math">
 146 \begin{equation*}
 147 \mathrm{sgn}(x) = \left\{\begin{matrix}
 148                     -1 &amp; x&lt;0\\
 149                     1 &amp; x&gt;0
 150                   \end{matrix}\right.
 151 \end{equation*}
 152 </div>
 153 <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
 154 HTML writers with <tt class="docutils literal"><span class="pre">--math-output=MathML</span></tt>):</p>
 155 <div class="math">
 156 \begin{equation*}
 157 \mathrm{sgn}(x) = \begin{cases}
 158                     -1 &amp; x&lt;0\\
 159                      1 &amp; x&gt;0
 160                   \end{cases}
 161 \end{equation*}
 162 </div>
 163 </div>
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