docutils/test/functional/expected/math_output_html.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="formula"><i>n</i>! + sin(<i>x</i><span class="scripts"><sup class="script">2</sup><sub class="script"><i>n</i></sub></span>)</span> and <span class="formula"><i>A</i><sub><span class="text">c</span></sub> = <span class="fraction"><span class="ignored">(</span><span class="numerator"><i>π</i></span><span class="ignored">)/(</span><span class="denominator">4</span><span class="ignored">)</span></span><i>d</i><sup>2</sup></span>, as well as displayed math via the
  17 <cite>math</cite> directive:</p>
  18 <div class="formula">
  19 <i>f</i>(<i>ϵ</i>) = <span class="fraction"><span class="ignored">(</span><span class="numerator">1</span><span class="ignored">)/(</span><span class="denominator">1 + exp<span class="array"><span class="arrayrow"><span class="bracket align-left">⎛</span></span><span class="arrayrow"><span class="bracket align-left">⎝</span></span></span><span class="fraction"><span class="ignored">(</span><span class="numerator"><i>ε</i></span><span class="ignored">)/(</span><span class="denominator"><i>k</i><sub><span class="text">B</span></sub><i>T</i></span><span class="ignored">)</span></span><span class="array"><span class="arrayrow"><span class="bracket align-right">⎞</span></span><span class="arrayrow"><span class="bracket align-right">⎠</span></span></span></span><span class="ignored">)</span></span>
  20 </div>
  21 <p>Content may start on the first line of the directive, e.g.</p>
  22 <div class="formula">
  23 <i>N</i> = <span class="fraction"><span class="ignored">(</span><span class="numerator"><span class="text">number of apples</span></span><span class="ignored">)/(</span><span class="denominator">7</span><span class="ignored">)</span></span>
  24 </div>
  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 <div class="formula" id="eq-m">
  29 <b>M</b> = <span class="array"><span class="arrayrow"><span class="bracket align-left">⎛</span></span><span class="arrayrow"><span class="bracket align-left">⎜</span></span><span class="arrayrow"><span class="bracket align-left">⎝</span></span></span><span class="array"><span class="arrayrow">
  30 <span class="arraycell align-c">
  31 <i>a</i>
  32 </span>
  33 <span class="arraycell align-c">
  34 <i>b</i>
  35 </span>
  36
  37 </span>
  38 <span class="arrayrow">
  39 <span class="arraycell align-c">
  40
  41 </span>
  42 <span class="arraycell align-c">
  43
  44 </span>
  45
  46 </span>
  47 <span class="arrayrow">
  48 <span class="arraycell align-c">
  49 <i>c</i>
  50 </span>
  51 <span class="arraycell align-c">
  52 <i>d</i>
  53 </span>
  54
  55 </span>
  56 </span><span class="array"><span class="arrayrow"><span class="bracket align-right">⎞</span></span><span class="arrayrow"><span class="bracket align-right">⎟</span></span><span class="arrayrow"><span class="bracket align-right">⎠</span></span></span>
  57 </div>
  58 <p>is <span class="formula">|<b>M</b>| = <i>ad</i> − <i>bc</i></span>.</p>
  59 <p>More than one display math block can be put in one math directive.
  60 For example, the following sum and integral with limits:</p>
  61 <div class="formula">
  62 <span class="limits"><sup class="limit">1</sup><span class="limit">⌠</span><span class="limit">⌡</span><sub class="limit">0</sub></span><i>x</i><sup><i>n</i></sup><i>dx</i> = <span class="fraction"><span class="ignored">(</span><span class="numerator">1</span><span class="ignored">)/(</span><span class="denominator"><i>n</i> + 1</span><span class="ignored">)</span></span>
  63 </div>
  64 <div class="formula">
  65 <span class="limits"><sup class="limit"><i>m</i></sup><span class="limit">⎲</span><span class="limit">⎳</span><sub class="limit"><i>n</i> = 1</sub></span><i>n</i> = <span class="fraction"><span class="ignored">(</span><span class="numerator"><i>m</i>(<i>m</i> + 1)</span><span class="ignored">)/(</span><span class="denominator">2</span><span class="ignored">)</span></span>
  66 </div>
  67 <p>LaTeX-supported Unicode math symbols can be used in math roles and
  68 directives:</p>
  69 <p>The Schrödinger equation</p>
  70 <div class="formula" id="eq-schrodinger">
  71 <i>i</i>ℏ<span class="fraction"><span class="ignored">(</span><span class="numerator">∂</span><span class="ignored">)/(</span><span class="denominator">∂<i>t</i></span><span class="ignored">)</span></span>Ψ = <i>Ĥ</i>Ψ,
  72 </div>
  73 <p>with the <em>wave function</em> <span class="formula">Ψ</span>, describes how the quantum state of a
  74 physical system changes in time.</p>
  75 <dl class="docutils">
  76 <dt>Math-Accents:</dt>
  77 <dd><table border="1" class="colwidths-given borderless first last docutils">
  78 <colgroup>
  79 <col width="33%" />
  80 <col width="33%" />
  81 <col width="33%" />
  82 </colgroup>
  83 <tbody valign="top">
  84 <tr><td><span class="formula"><i>á</i></span>      <tt class="docutils literal">\acute{a}</tt></td>
  85 <td><span class="formula"><i>ṫ</i></span>        <tt class="docutils literal">\dot{t}</tt></td>
  86 <td><span class="formula"><i>γ̂</i></span>   <tt class="docutils literal"><span class="pre">\hat{\gamma}</span></tt></td>
  87 </tr>
  88 <tr><td><span class="formula"><i>à</i></span>      <tt class="docutils literal">\grave{a}</tt></td>
  89 <td><span class="formula"><i>ẗ</i></span>       <tt class="docutils literal">\ddot{t}</tt></td>
  90 <td><span class="formula"><i>α̃</i></span> <tt class="docutils literal"><span class="pre">\tilde{\alpha}</span></tt></td>
  91 </tr>
  92 <tr><td><span class="formula"><i>x̆</i></span>      <tt class="docutils literal">\breve{x}</tt></td>
  93 <td><span class="formula"><i>t⃛</i></span>      <tt class="docutils literal">\dddot{t}</tt></td>
  94 <td><span class="formula"><i>ı⃗</i></span>   <tt class="docutils literal"><span class="pre">\vec{\imath}</span></tt></td>
  95 </tr>
  96 <tr><td><span class="formula"><i>ǎ</i></span>      <tt class="docutils literal">\check{a}</tt></td>
  97 <td><span class="formula"><span class="bar"><i>a</i></span></span>        <tt class="docutils literal">\bar{a}</tt></td>
  98 <td><span class="formula"><i>R⃗</i></span>        <tt class="docutils literal">\vec{R}</tt></td>
  99 </tr>
 100 </tbody>
 101 </table>
 102 </dd>
 103 </dl>
 104 <!-- \widetilde{xxx}
 105 \widehat{xxx} -->
 106 <p>Modulation Transfer Function:</p>
 107 <div class="formula">
 108 <span class="text">MTF</span> = <span class="array"><span class="arrayrow"><span class="bracket align-left">|</span></span><span class="arrayrow"><span class="bracket align-left">|</span></span></span><span class="fraction"><span class="ignored">(</span><span class="numerator">ℱ{<i>s</i>(<i>x</i>)}</span><span class="ignored">)/(</span><span class="denominator">ℱ{<i>s</i>(<i>x</i>)}|<sub><i>ω</i><sub><i>x</i></sub> = 0</sub></span><span class="ignored">)</span></span><span class="array"><span class="arrayrow"><span class="bracket align-right">|</span></span><span class="arrayrow"><span class="bracket align-right">|</span></span></span> = <span class="mathrm"> abs</span><span class="array"><span class="arrayrow"><span class="bracket align-left">⎛</span></span><span class="arrayrow"><span class="bracket align-left">⎝</span></span></span><span class="fraction"><span class="ignored">(</span><span class="numerator"><span class="limits"><span class="limit">⌠</span><span class="limit">⌡</span></span><span class="scripts"><sup class="script">∞</sup><sub class="script"> − ∞</sub></span><i>s</i>(<i>x</i>)<span class="mathrm">e</span><sup><span class="mathrm">i</span><i>ω</i><sub><i>x</i></sub><i>x</i></sup><span class="mathrm">d</span><i>x</i></span><span class="ignored">)/(</span><span class="denominator"><span class="limits"><span class="limit">⌠</span><span class="limit">⌡</span></span><span class="scripts"><sup class="script">∞</sup><sub class="script"> − ∞</sub></span><i>s</i>(<i>x</i>)<span class="mathrm">d</span><i>x</i></span><span class="ignored">)</span></span><span class="array"><span class="arrayrow"><span class="bracket align-right">⎞</span></span><span class="arrayrow"><span class="bracket align-right">⎠</span></span></span>.
 109 </div>
 110 <p>Math split over two lines: If a double backslash is detected outside a
 111 <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>
 112 <tt class="docutils literal">align</tt> environment:</p>
 113 <div class="formula">
 114 <span class="environment"><span class="arrayrow">
 115 <span class="arraycell align-r">
 116 <i>s</i><sub><span class="mathrm">out</span></sub>(<i>x</i>)
 117 </span>
 118 <span class="arraycell align-l">
 119  = <i>s</i><sub><span class="mathrm">in</span></sub>(<i>x</i>’)*<i>s</i><sub><i>δ</i></sub>(<i>x</i> − <i>x</i>’)
 120 </span>
 121
 122 </span>
 123 <span class="arrayrow">
 124 <span class="arraycell align-r">
 125
 126 </span>
 127 <span class="arraycell align-l">
 128
 129 </span>
 130
 131 </span>
 132 <span class="arrayrow">
 133 <span class="arraycell align-r">
 134
 135 </span>
 136 <span class="arraycell align-l">
 137  = <span class="limits"><span class="limit">⌠</span><span class="limit">⌡</span></span><i>s</i><sub><span class="mathrm">in</span></sub>(<i>x</i>’)<i>s</i><sub><i>δ</i></sub>(<i>x</i> − <i>x</i>’)<span class="mathrm">d</span><i>x</i>’
 138 </span>
 139
 140 </span>
 141 </span>
 142 </div>
 143 <p>Cases (&quot;manually&quot;, with <tt class="docutils literal">matrix</tt> environment):</p>
 144 <div class="formula">
 145 <span class="mathrm">sgn</span>(<i>x</i>) = <span class="array"><span class="arrayrow"><span class="bracket align-left">⎧</span></span><span class="arrayrow"><span class="bracket align-left">⎨</span></span><span class="arrayrow"><span class="bracket align-left">⎩</span></span></span><span class="array"><span class="arrayrow">
 146 <span class="arraycell align-c">
 147  − 1
 148 </span>
 149 <span class="arraycell align-c">
 150 <i>x</i> &lt; 0
 151 </span>
 152
 153 </span>
 154 <span class="arrayrow">
 155 <span class="arraycell align-c">
 156
 157 </span>
 158 <span class="arraycell align-c">
 159
 160 </span>
 161
 162 </span>
 163 <span class="arrayrow">
 164 <span class="arraycell align-c">
 165 1
 166 </span>
 167 <span class="arraycell align-c">
 168 <i>x</i> &gt; 0
 169 </span>
 170
 171 </span>
 172 </span><span class="emptydot"></span>
 173 </div>
 174 <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
 175 HTML writers with <tt class="docutils literal"><span class="pre">--math-output=MathML</span></tt>):</p>
 176 <div class="formula">
 177 <span class="mathrm">sgn</span>(<i>x</i>) = <span class="array"><span class="arrayrow"><span class="bracket align-l">⎧</span></span><span class="arrayrow"><span class="bracket align-l">⎨</span></span><span class="arrayrow"><span class="bracket align-l">⎩</span></span></span><span class="bracketcases">
 178 <span class="arrayrow">
 179 <span class="case align-l">
 180  − 1
 181 </span>
 182 <span class="case align-l">
 183 <i>x</i> &lt; 0
 184 </span>
 185
 186 </span>
 187 <span class="arrayrow">
 188 <span class="case align-l">
 189
 190 </span>
 191 <span class="case align-l">
 192
 193 </span>
 194
 195 </span>
 196 <span class="arrayrow">
 197 <span class="case align-l">
 198 1
 199 </span>
 200 <span class="case align-l">
 201 <i>x</i> &gt; 0
 202 </span>
 203
 204 </span>
 205
 206 </span>
 207
 208 </div>
 209 </div>
 210 </body>
 211 </html>