docutils/test/functional/expected/math_output_mathml.html

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  13 <h1 class="title">Mathematics</h1>
  14
  15 <p>Docutils supports inline math with the prefix or postfix <span class="docutils literal">:math:</span>
  16 role specificator, <math xmlns="http://www.w3.org/1998/Math/MathML">
  17   <mi>n</mi>
  18   <mo>!</mo>
  19   <mo>+</mo>
  20   <mi>sin</mi>
  21   <mo>&ApplyFunction;</mo>
  22   <mo stretchy="false">(</mo>
  23   <msubsup>
  24     <mi>x</mi>
  25     <mi>n</mi>
  26     <mn>2</mn>
  27   </msubsup>
  28   <mo stretchy="false">)</mo>
  29 </math> and <math xmlns="http://www.w3.org/1998/Math/MathML">
  30   <msub>
  31     <mi>A</mi>
  32     <mtext>c</mtext>
  33   </msub>
  34   <mo>=</mo>
  35   <mfrac>
  36     <mi>π</mi>
  37     <mn>4</mn>
  38   </mfrac>
  39   <msup>
  40     <mi>d</mi>
  41     <mn>2</mn>
  42   </msup>
  43 </math>, as well as displayed math via the
  44 <cite>math</cite> directive:</p>
  45 <div>
  46 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  47   <mi>f</mi>
  48   <mo stretchy="false">(</mo>
  49   <mi>ϵ</mi>
  50   <mo stretchy="false">)</mo>
  51   <mo>=</mo>
  52   <mfrac>
  53     <mn>1</mn>
  54     <mrow>
  55       <mn>1</mn>
  56       <mo>+</mo>
  57       <mi>exp</mi>
  58       <mo>&ApplyFunction;</mo>
  59       <mrow>
  60         <mo>(</mo>
  61         <mfrac>
  62           <mi>ε</mi>
  63           <mrow>
  64             <msub>
  65               <mi>k</mi>
  66               <mtext>B</mtext>
  67             </msub>
  68             <mi>T</mi>
  69           </mrow>
  70         </mfrac>
  71         <mo>)</mo>
  72       </mrow>
  73     </mrow>
  74   </mfrac>
  75 </math>
  76 </div>
  77 <p>Content may start on the first line of the directive, e.g.</p>
  78 <div>
  79 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  80   <mi>N</mi>
  81   <mo>=</mo>
  82   <mfrac>
  83     <mtext>number of apples</mtext>
  84     <mn>7</mn>
  85   </mfrac>
  86 </math>
  87 </div>
  88 <p>Equations can be labeled with a reference name using the <span class="docutils literal">:name:</span> option.
  89 See <a class="reference internal" href="#eq-m">eq:M</a> and <a class="reference internal" href="#eq-schrodinger">eq:schrödinger</a> below.</p>
  90 <p>The determinant of the matrix</p>
  91 <div id="eq-m">
  92 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  93   <mi mathvariant="bold">M</mi>
  94   <mo>=</mo>
  95   <mrow>
  96     <mo>(</mo>
  97     <mtable>
  98       <mtr>
  99         <mtd>
 100           <mi>a</mi>
 101         </mtd>
 102         <mtd>
 103           <mi>b</mi>
 104         </mtd>
 105       </mtr>
 106       <mtr>
 107         <mtd>
 108           <mi>c</mi>
 109         </mtd>
 110         <mtd>
 111           <mi>d</mi>
 112         </mtd>
 113       </mtr>
 114     </mtable>
 115     <mo>)</mo>
 116   </mrow>
 117 </math>
 118 </div>
 119 <p>is <math xmlns="http://www.w3.org/1998/Math/MathML">
 120   <mo stretchy="false">|</mo>
 121   <mi mathvariant="bold">M</mi>
 122   <mo stretchy="false">|</mo>
 123   <mo>=</mo>
 124   <mi>a</mi>
 125   <mi>d</mi>
 126   <mo>−</mo>
 127   <mi>b</mi>
 128   <mi>c</mi>
 129 </math>.</p>
 130 <p>More than one display math block can be put in one math directive.
 131 For example, the following sum and integral with limits:</p>
 132 <div>
 133 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
 134   <msubsup>
 135     <mo>∫</mo>
 136     <mn>0</mn>
 137     <mn>1</mn>
 138   </msubsup>
 139   <msup>
 140     <mi>x</mi>
 141     <mi>n</mi>
 142   </msup>
 143   <mi>d</mi>
 144   <mi>x</mi>
 145   <mo>=</mo>
 146   <mfrac>
 147     <mn>1</mn>
 148     <mrow>
 149       <mi>n</mi>
 150       <mo>+</mo>
 151       <mn>1</mn>
 152     </mrow>
 153   </mfrac>
 154 </math>
 155 </div>
 156 <div>
 157 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
 158   <munderover>
 159     <mo movablelimits="true">∑</mo>
 160     <mrow>
 161       <mi>n</mi>
 162       <mo>=</mo>
 163       <mn>1</mn>
 164     </mrow>
 165     <mi>m</mi>
 166   </munderover>
 167   <mi>n</mi>
 168   <mo>=</mo>
 169   <mfrac>
 170     <mrow>
 171       <mi>m</mi>
 172       <mo stretchy="false">(</mo>
 173       <mi>m</mi>
 174       <mo>+</mo>
 175       <mn>1</mn>
 176       <mo stretchy="false">)</mo>
 177     </mrow>
 178     <mn>2</mn>
 179   </mfrac>
 180 </math>
 181 </div>
 182 <p>LaTeX-supported Unicode math symbols can be used in math roles and
 183 directives:</p>
 184 <p>The Schrödinger equation</p>
 185 <div id="eq-schrodinger">
 186 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
 187   <mi>i</mi>
 188   <mi>ℏ</mi>
 189   <mfrac>
 190     <mo>∂</mo>
 191     <mrow>
 192       <mo>∂</mo>
 193       <mi>t</mi>
 194     </mrow>
 195   </mfrac>
 196   <mi class="capital-greek">Ψ</mi>
 197   <mo>=</mo>
 198   <mover>
 199     <mi>H</mi>
 200     <mo stretchy="false">ˆ</mo>
 201   </mover>
 202   <mi class="capital-greek">Ψ</mi>
 203   <mo>,</mo>
 204 </math>
 205 </div>
 206 <p>with the <em>wave function</em> <math xmlns="http://www.w3.org/1998/Math/MathML">
 207   <mi class="capital-greek">Ψ</mi>
 208 </math>, describes how the quantum state of a
 209 physical system changes in time.</p>
 210 <dl>
 211 <dt>Math-Accents:</dt>
 212 <dd><table class="borderless" style="width: 100%;">
 213 <tbody>
 214 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 215   <mover>
 216     <mi>a</mi>
 217     <mo stretchy="false">´</mo>
 218   </mover>
 219 </math>      <span class="docutils literal">\acute{a}</span></p></td>
 220 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 221   <mover>
 222     <mi>t</mi>
 223     <mo stretchy="false">˙</mo>
 224   </mover>
 225 </math>        <span class="docutils literal">\dot{t}</span></p></td>
 226 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 227   <mover>
 228     <mi>γ</mi>
 229     <mo stretchy="false">ˆ</mo>
 230   </mover>
 231 </math>   <span class="docutils literal"><span class="pre">\hat{\gamma}</span></span></p></td>
 232 </tr>
 233 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 234   <mover>
 235     <mi>a</mi>
 236     <mo stretchy="false">`</mo>
 237   </mover>
 238 </math>      <span class="docutils literal">\grave{a}</span></p></td>
 239 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 240   <mover>
 241     <mi>t</mi>
 242     <mo stretchy="false">¨</mo>
 243   </mover>
 244 </math>       <span class="docutils literal">\ddot{t}</span></p></td>
 245 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 246   <mover>
 247     <mi>α</mi>
 248     <mo stretchy="false">˜</mo>
 249   </mover>
 250 </math> <span class="docutils literal"><span class="pre">\tilde{\alpha}</span></span></p></td>
 251 </tr>
 252 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 253   <mover>
 254     <mi>x</mi>
 255     <mo stretchy="false">˘</mo>
 256   </mover>
 257 </math>      <span class="docutils literal">\breve{x}</span></p></td>
 258 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 259   <mover>
 260     <mi>t</mi>
 261     <mo stretchy="false">⋯</mo>
 262   </mover>
 263 </math>      <span class="docutils literal">\dddot{t}</span></p></td>
 264 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 265   <mover>
 266     <mi>ı</mi>
 267     <mo stretchy="false" accent="false">→</mo>
 268   </mover>
 269 </math>   <span class="docutils literal"><span class="pre">\vec{\imath}</span></span></p></td>
 270 </tr>
 271 <tr><td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 272   <mover>
 273     <mi>a</mi>
 274     <mo stretchy="false">ˇ</mo>
 275   </mover>
 276 </math>      <span class="docutils literal">\check{a}</span></p></td>
 277 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 278   <mover>
 279     <mi>a</mi>
 280     <mo stretchy="false">ˉ</mo>
 281   </mover>
 282 </math>        <span class="docutils literal">\bar{a}</span></p></td>
 283 <td><p><math xmlns="http://www.w3.org/1998/Math/MathML">
 284   <mover>
 285     <mi>R</mi>
 286     <mo stretchy="false" accent="false">→</mo>
 287   </mover>
 288 </math>        <span class="docutils literal">\vec{R}</span></p></td>
 289 </tr>
 290 </tbody>
 291 </table>
 292 </dd>
 293 </dl>
 294 <!-- \widetilde{xxx}
 295 \widehat{xxx} -->
 296 <p>Modulation Transfer Function:</p>
 297 <div>
 298 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
 299   <mtext>MTF</mtext>
 300   <mo>=</mo>
 301   <mrow>
 302     <mo>|</mo>
 303     <mfrac>
 304       <mrow>
 305         <mi mathvariant="script">F</mi>
 306         <mo>{</mo>
 307         <mi>s</mi>
 308         <mo stretchy="false">(</mo>
 309         <mi>x</mi>
 310         <mo stretchy="false">)</mo>
 311         <mo>}</mo>
 312       </mrow>
 313       <mrow>
 314         <mi mathvariant="script">F</mi>
 315         <mo>{</mo>
 316         <mi>s</mi>
 317         <mo stretchy="false">(</mo>
 318         <mi>x</mi>
 319         <mo stretchy="false">)</mo>
 320         <mo>}</mo>
 321         <msub>
 322           <mo stretchy="false">|</mo>
 323           <mrow>
 324             <msub>
 325               <mi>ω</mi>
 326               <mi>x</mi>
 327             </msub>
 328             <mo>=</mo>
 329             <mn>0</mn>
 330           </mrow>
 331         </msub>
 332       </mrow>
 333     </mfrac>
 334     <mo>|</mo>
 335   </mrow>
 336   <mo>=</mo>
 337   <mi mathvariant="normal">abs</mi>
 338   <mrow>
 339     <mo>(</mo>
 340     <mfrac>
 341       <mrow>
 342         <msubsup>
 343           <mo>∫</mo>
 344           <mrow>
 345             <mo>−</mo>
 346             <mo>∞</mo>
 347           </mrow>
 348           <mo>∞</mo>
 349         </msubsup>
 350         <mi>s</mi>
 351         <mo stretchy="false">(</mo>
 352         <mi>x</mi>
 353         <mo stretchy="false">)</mo>
 354         <msup>
 355           <mi mathvariant="normal">e</mi>
 356           <mrow>
 357             <mi mathvariant="normal">i</mi>
 358             <msub>
 359               <mi>ω</mi>
 360               <mi>x</mi>
 361             </msub>
 362             <mi>x</mi>
 363           </mrow>
 364         </msup>
 365         <mi mathvariant="normal">d</mi>
 366         <mi>x</mi>
 367       </mrow>
 368       <mrow>
 369         <msubsup>
 370           <mo>∫</mo>
 371           <mrow>
 372             <mo>−</mo>
 373             <mo>∞</mo>
 374           </mrow>
 375           <mo>∞</mo>
 376         </msubsup>
 377         <mi>s</mi>
 378         <mo stretchy="false">(</mo>
 379         <mi>x</mi>
 380         <mo stretchy="false">)</mo>
 381         <mi mathvariant="normal">d</mi>
 382         <mi>x</mi>
 383       </mrow>
 384     </mfrac>
 385     <mo>)</mo>
 386   </mrow>
 387   <mo>.</mo>
 388 </math>
 389 </div>
 390 <p>Math split over two lines: If a double backslash is detected outside a
 391 <span class="docutils literal"><span class="pre">\begin{...}</span> <span class="pre">\end{...}</span></span> 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>
 392 <span class="docutils literal">align</span> environment:</p>
 393 <div>
 394 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
 395   <mtable class="align" columnalign="right left" columnspacing="0" displaystyle="true">
 396     <mtr>
 397       <mtd>
 398         <msub>
 399           <mi>s</mi>
 400           <mi mathvariant="normal">out</mi>
 401         </msub>
 402         <mo stretchy="false">(</mo>
 403         <mi>x</mi>
 404         <mo stretchy="false">)</mo>
 405       </mtd>
 406       <mtd>
 407         <mo>=</mo>
 408         <msub>
 409           <mi>s</mi>
 410           <mi mathvariant="normal">in</mi>
 411         </msub>
 412         <mo stretchy="false">(</mo>
 413         <mi>x</mi>
 414         <mo>'</mo>
 415         <mo stretchy="false">)</mo>
 416         <mo>*</mo>
 417         <msub>
 418           <mi>s</mi>
 419           <mi>δ</mi>
 420         </msub>
 421         <mo stretchy="false">(</mo>
 422         <mi>x</mi>
 423         <mo>−</mo>
 424         <mi>x</mi>
 425         <mo>'</mo>
 426         <mo stretchy="false">)</mo>
 427       </mtd>
 428     </mtr>
 429     <mtr>
 430       <mtd>
 431       </mtd>
 432       <mtd>
 433         <mo>=</mo>
 434         <mo>∫</mo>
 435         <msub>
 436           <mi>s</mi>
 437           <mi mathvariant="normal">in</mi>
 438         </msub>
 439         <mo stretchy="false">(</mo>
 440         <mi>x</mi>
 441         <mo>'</mo>
 442         <mo stretchy="false">)</mo>
 443         <msub>
 444           <mi>s</mi>
 445           <mi>δ</mi>
 446         </msub>
 447         <mo stretchy="false">(</mo>
 448         <mi>x</mi>
 449         <mo>−</mo>
 450         <mi>x</mi>
 451         <mo>'</mo>
 452         <mo stretchy="false">)</mo>
 453         <mi mathvariant="normal">d</mi>
 454         <mi>x</mi>
 455         <mo>'</mo>
 456       </mtd>
 457     </mtr>
 458   </mtable>
 459 </math>
 460 </div>
 461 <p>Cases with the <a class="reference external" href="ftp://ftp.ams.org/ams/doc/amsmath/short-math-guide.pdf">AMSmath</a> <span class="docutils literal">cases</span> environment:</p>
 462 <div>
 463 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
 464   <mi mathvariant="normal">sgn</mi>
 465   <mo stretchy="false">(</mo>
 466   <mi>x</mi>
 467   <mo stretchy="false">)</mo>
 468   <mo>=</mo>
 469   <mrow>
 470     <mo rspace="0.17em">{</mo>
 471     <mtable columnalign="left">
 472       <mtr>
 473         <mtd>
 474           <mo>−</mo>
 475           <mn>1</mn>
 476         </mtd>
 477         <mtd>
 478           <mi>x</mi>
 479           <mo>&lt;</mo>
 480           <mn>0</mn>
 481         </mtd>
 482       </mtr>
 483       <mtr>
 484         <mtd>
 485           <mphantom>
 486             <mo>−</mo>
 487           </mphantom>
 488           <mn>1</mn>
 489         </mtd>
 490         <mtd>
 491           <mi>x</mi>
 492           <mo>&gt;</mo>
 493           <mn>0</mn>
 494         </mtd>
 495       </mtr>
 496     </mtable>
 497   </mrow>
 498 </math>
 499 </div>
 500 </main>
 501 </body>
 502 </html>