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