forked from matplotlib/matplotlib.github.com
-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathmathtext.html
More file actions
1497 lines (1440 loc) · 121 KB
/
mathtext.html
File metadata and controls
1497 lines (1440 loc) · 121 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title>Writing mathematical expressions — Matplotlib 1.5.3 documentation</title>
<link rel="stylesheet" href="../_static/mpl.css"
type="text/css" />
<link rel="stylesheet" href="../_static/pygments.css"
type="text/css" />
<script type="text/javascript">
var DOCUMENTATION_OPTIONS = {
URL_ROOT: '../',
VERSION: '1.5.3',
COLLAPSE_INDEX: false,
FILE_SUFFIX: '.html',
HAS_SOURCE: true
};
</script>
<script type="text/javascript" src="../_static/jquery.js"></script>
<script type="text/javascript" src="../_static/underscore.js"></script>
<script type="text/javascript" src="../_static/doctools.js"></script>
<link rel="search" type="application/opensearchdescription+xml"
title="Search within Matplotlib 1.5.3 documentation"
href="../_static/opensearch.xml"/>
<link rel="shortcut icon" href="../_static/favicon.ico"/>
<link rel="top" title="Matplotlib 1.5.3 documentation" href="../index.html" />
<link rel="up" title="Working with text" href="index_text.html" />
<link rel="next" title="Typesetting With XeLaTeX/LuaLaTeX" href="pgf.html" />
<link rel="prev" title="Text properties and layout" href="text_props.html" />
</head>
<body>
<div class="alert" style="background-color: #FEA46C; padding: 10px 0;
">
<h2>Matplotlib 2.0.0rc2 is available</h2>
<p><a href="../style_changes.html"
style="font-weight: bold;
color: #11557C;">Install the release candidate now!</a></p>
</div>
<!-- The "Fork me on github" ribbon -->
<img style="float: right; margin-bottom: -40px; top: 0; right: 0; border: 0;" src="https://s3.amazonaws.com/github/ribbons/forkme_right_orange_ff7600.png" usemap="#ribbonmap"/>
<map name="ribbonmap">
<area shape="poly" coords="15,0,148,-1,148,135" href="https://github.com/matplotlib/matplotlib" title="Fork me on GitHub" />
</map>
<div style="background-color: white; text-align: left; padding: 10px 10px 15px 15px">
<a href="../index.html"><img src="../_static/logo2.svg" width="540px" border="0" alt="matplotlib"/></a>
</div>
<div class="related">
<h3>Navigation</h3>
<ul>
<li class="right" style="margin-right: 10px">
<a href="../genindex.html" title="General Index"
accesskey="I">index</a></li>
<li class="right" >
<a href="../py-modindex.html" title="Python Module Index"
>modules</a> |</li>
<li class="right" >
<a href="pgf.html" title="Typesetting With XeLaTeX/LuaLaTeX"
accesskey="N">next</a> |</li>
<li class="right" >
<a href="text_props.html" title="Text properties and layout"
accesskey="P">previous</a> |</li>
<li><a href="../index.html">home</a>| </li>
<li><a href="../examples/index.html">examples</a>| </li>
<li><a href="../gallery.html">gallery</a>| </li>
<li><a href="../api/pyplot_summary.html">pyplot</a>| </li>
<li><a href="../contents.html">docs</a> »</li>
<li><a href="index.html" >User’s Guide</a> »</li>
<li><a href="beginner.html" >Beginner’s Guide</a> »</li>
<li><a href="index_text.html" accesskey="U">Working with text</a> »</li>
</ul>
</div>
<div class="sphinxsidebar">
<div class="sphinxsidebarwrapper">
<a href="http://depsy.org/package/python/matplotlib">
<img src="http://depsy.org/api/package/pypi/matplotlib/badge.svg">
</a>
<br/>
Travis-CI: <a href="https://travis-ci.org/matplotlib/matplotlib">
<img src="https://travis-ci.org/matplotlib/matplotlib.svg?branch=master"/>
</a>
<br/>
<h3><a href="../contents.html">Table Of Contents</a></h3>
<ul>
<li><a class="reference internal" href="#">Writing mathematical expressions</a><ul>
<li><a class="reference internal" href="#subscripts-and-superscripts">Subscripts and superscripts</a></li>
<li><a class="reference internal" href="#fractions-binomials-and-stacked-numbers">Fractions, binomials and stacked numbers</a></li>
<li><a class="reference internal" href="#radicals">Radicals</a></li>
<li><a class="reference internal" href="#fonts">Fonts</a><ul>
<li><a class="reference internal" href="#custom-fonts">Custom fonts</a></li>
</ul>
</li>
<li><a class="reference internal" href="#accents">Accents</a></li>
<li><a class="reference internal" href="#symbols">Symbols</a></li>
<li><a class="reference internal" href="#example">Example</a></li>
</ul>
</li>
</ul>
<div class="relations">
<h3>Related Topics</h3>
<ul>
<li><a href="../contents.html">Documentation overview</a><ul>
<li><a href="index.html">User’s Guide</a><ul>
<li><a href="beginner.html">Beginner’s Guide</a><ul>
<li><a href="index_text.html">Working with text</a><ul>
<li>Previous: <a href="text_props.html" title="previous chapter">Text properties and layout</a></li>
<li>Next: <a href="pgf.html" title="next chapter">Typesetting With XeLaTeX/LuaLaTeX</a></li>
</ul></li>
</ul></li>
</ul></li>
</ul></li>
</ul>
</div>
<div role="note" aria-label="source link">
<h3>This Page</h3>
<ul class="this-page-menu">
<li><a href="../_sources/users/mathtext.txt"
rel="nofollow">Show Source</a></li>
</ul>
</div>
<div id="searchbox" style="display: none" role="search">
<h3>Quick search</h3>
<form class="search" action="../search.html" method="get">
<div><input type="text" name="q" /></div>
<div><input type="submit" value="Go" /></div>
<input type="hidden" name="check_keywords" value="yes" />
<input type="hidden" name="area" value="default" />
</form>
</div>
<script type="text/javascript">$('#searchbox').show(0);</script>
</div>
</div>
<div class="document">
<div class="documentwrapper">
<div class="bodywrapper">
<div class="body">
<div class="section" id="writing-mathematical-expressions">
<span id="mathtext-tutorial"></span><h1>Writing mathematical expressions<a class="headerlink" href="#writing-mathematical-expressions" title="Permalink to this headline">¶</a></h1>
<p>You can use a subset TeX markup in any matplotlib text string by
placing it inside a pair of dollar signs ($).</p>
<p>Note that you do not need to have TeX installed, since matplotlib
ships its own TeX expression parser, layout engine and fonts. The
layout engine is a fairly direct adaptation of the layout algorithms
in Donald Knuth’s TeX, so the quality is quite good (matplotlib also
provides a <code class="docutils literal"><span class="pre">usetex</span></code> option for those who do want to call out to TeX
to generate their text (see <a class="reference internal" href="usetex.html#usetex-tutorial"><span class="std std-ref">Text rendering With LaTeX</span></a>).</p>
<p>Any text element can use math text. You should use raw strings
(precede the quotes with an <code class="docutils literal"><span class="pre">'r'</span></code>), and surround the math text with
dollar signs ($), as in TeX. Regular text and mathtext can be
interleaved within the same string. Mathtext can use the Computer
Modern fonts (from (La)TeX), <a class="reference external" href="http://www.stixfonts.org/">STIX</a>
fonts (with are designed to blend well with Times) or a Unicode font
that you provide. The mathtext font can be selected with the
customization variable <code class="docutils literal"><span class="pre">mathtext.fontset</span></code> (see
<a class="reference internal" href="customizing.html#customizing-matplotlib"><span class="std std-ref">Customizing matplotlib</span></a>)</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">On <a class="reference external" href="http://wordaligned.org/articles/narrow-python">“narrow”</a> builds
of Python, if you use the STIX fonts you should also set
<code class="docutils literal"><span class="pre">ps.fonttype</span></code> and <code class="docutils literal"><span class="pre">pdf.fonttype</span></code> to 3 (the default), not 42.
Otherwise <a class="reference external" href="http://thread.gmane.org/gmane.comp.python.matplotlib.general/19963/focus=19978">some characters will not be visible</a>.</p>
</div>
<p>Here is a simple example:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># plain text</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">'alpha > beta'</span><span class="p">)</span>
</pre></div>
</div>
<p>produces “alpha > beta”.</p>
<p>Whereas this:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># math text</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">r'$\alpha > \beta$'</span><span class="p">)</span>
</pre></div>
</div>
<p>produces “<img src="../_images/mathmpl/math-3ba37e0517.png" style="position: relative; bottom: -7px"/>”.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Mathtext should be placed between a pair of dollar signs ($). To
make it easy to display monetary values, e.g., “$100.00”, if a
single dollar sign is present in the entire string, it will be
displayed verbatim as a dollar sign. This is a small change from
regular TeX, where the dollar sign in non-math text would have to
be escaped (‘$’).</p>
</div>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p>While the syntax inside the pair of dollar signs ($) aims to be
TeX-like, the text outside does not. In particular, characters
such as:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># $ % & ~ _ ^ \ { } \( \) \[ \]</span>
</pre></div>
</div>
<p class="last">have special meaning outside of math mode in TeX. Therefore, these
characters will behave differently depending on the rcParam
<code class="docutils literal"><span class="pre">text.usetex</span></code> flag. See the <a class="reference internal" href="usetex.html#usetex-tutorial"><span class="std std-ref">usetex tutorial</span></a> for more information.</p>
</div>
<div class="section" id="subscripts-and-superscripts">
<h2>Subscripts and superscripts<a class="headerlink" href="#subscripts-and-superscripts" title="Permalink to this headline">¶</a></h2>
<p>To make subscripts and superscripts, use the <code class="docutils literal"><span class="pre">'_'</span></code> and <code class="docutils literal"><span class="pre">'^'</span></code> symbols:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$\alpha_i > \beta_i$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-e2db32b4d0.png" class="center" /><p>Some symbols automatically put their sub/superscripts under and over
the operator. For example, to write the sum of <img src="../_images/mathmpl/math-ccea9f4e30.png" style="position: relative; bottom: -6px"/> from <img src="../_images/mathmpl/math-f9f98764da.png" style="position: relative; bottom: -3px"/> to
<img src="../_images/mathmpl/math-c899412e92.png" style="position: relative; bottom: -3px"/>, you could do:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$\sum_{i=0}^\infty x_i$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-a3ca6be911.png" class="center" /></div>
<div class="section" id="fractions-binomials-and-stacked-numbers">
<h2>Fractions, binomials and stacked numbers<a class="headerlink" href="#fractions-binomials-and-stacked-numbers" title="Permalink to this headline">¶</a></h2>
<p>Fractions, binomials and stacked numbers can be created with the
<code class="docutils literal"><span class="pre">\frac{}{}</span></code>, <code class="docutils literal"><span class="pre">\binom{}{}</span></code> and <code class="docutils literal"><span class="pre">\stackrel{}{}</span></code> commands,
respectively:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$\frac</span><span class="si">{3}{4}</span><span class="s1"> \binom</span><span class="si">{3}{4}</span><span class="s1"> \stackrel</span><span class="si">{3}{4}</span><span class="s1">$'</span>
</pre></div>
</div>
<p>produces</p>
<img src="../_images/mathmpl/math-3025afbc71.png" class="center" /><p>Fractions can be arbitrarily nested:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$\frac{5 - \frac</span><span class="si">{1}{x}</span><span class="s1">}</span><span class="si">{4}</span><span class="s1">$'</span>
</pre></div>
</div>
<p>produces</p>
<img src="../_images/mathmpl/math-2e885fe67f.png" class="center" /><p>Note that special care needs to be taken to place parentheses and brackets around
fractions. Doing things the obvious way produces brackets that are
too small:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$(\frac{5 - \frac</span><span class="si">{1}{x}</span><span class="s1">}</span><span class="si">{4}</span><span class="s1">)$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-07b17ba8f6.png" class="center" /><p>The solution is to precede the bracket with <code class="docutils literal"><span class="pre">\left</span></code> and <code class="docutils literal"><span class="pre">\right</span></code>
to inform the parser that those brackets encompass the entire object:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$\left(\frac{5 - \frac</span><span class="si">{1}{x}</span><span class="s1">}</span><span class="si">{4}</span><span class="s1">\right)$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-9d267a8c3c.png" class="center" /></div>
<div class="section" id="radicals">
<h2>Radicals<a class="headerlink" href="#radicals" title="Permalink to this headline">¶</a></h2>
<p>Radicals can be produced with the <code class="docutils literal"><span class="pre">\sqrt[]{}</span></code> command. For example:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$\sqrt</span><span class="si">{2}</span><span class="s1">$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-f151e9b6c6.png" class="center" /><p>Any base can (optionally) be provided inside square brackets. Note
that the base must be a simple expression, and can not contain layout
commands such as fractions or sub/superscripts:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$\sqrt[3]</span><span class="si">{x}</span><span class="s1">$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-6b6cc30aef.png" class="center" /></div>
<div class="section" id="fonts">
<h2>Fonts<a class="headerlink" href="#fonts" title="Permalink to this headline">¶</a></h2>
<p>The default font is <em>italics</em> for mathematical symbols.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">This default can be changed using the <code class="docutils literal"><span class="pre">mathtext.default</span></code> rcParam.
This is useful, for example, to use the same font as regular
non-math text for math text, by setting it to <code class="docutils literal"><span class="pre">regular</span></code>.</p>
</div>
<p>To change fonts, e.g., to write “sin” in a Roman font, enclose the text
in a font command:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$s(t) = \mathcal</span><span class="si">{A}</span><span class="s1">\mathrm</span><span class="si">{sin}</span><span class="s1">(2 \omega t)$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-c8056d47b3.png" class="center" /><p>More conveniently, many commonly used function names that are typeset in a
Roman font have shortcuts. So the expression above could be written
as follows:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s1">r'$s(t) = \mathcal</span><span class="si">{A}</span><span class="s1">\sin(2 \omega t)$'</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-77926a09ec.png" class="center" /><p>Here “s” and “t” are variable in italics font (default), “sin” is in
Roman font, and the amplitude “A” is in calligraphy font. Note in the
example above the caligraphy <code class="docutils literal"><span class="pre">A</span></code> is squished into the <code class="docutils literal"><span class="pre">sin</span></code>. You
can use a spacing command to add a little whitespace between them:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">s</span><span class="p">(</span><span class="n">t</span><span class="p">)</span> <span class="o">=</span> \<span class="n">mathcal</span><span class="p">{</span><span class="n">A</span><span class="p">}</span>\<span class="o">/</span>\<span class="n">sin</span><span class="p">(</span><span class="mi">2</span> \<span class="n">omega</span> <span class="n">t</span><span class="p">)</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-44f45b7160.png" class="center" /><p>The choices available with all fonts are:</p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="45%" />
<col width="55%" />
</colgroup>
<thead valign="bottom">
<tr class="row-odd"><th class="head">Command</th>
<th class="head">Result</th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\mathrm{Roman}</span></code></td>
<td><img src="../_images/mathmpl/math-89f87a2f0c.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\mathit{Italic}</span></code></td>
<td><img src="../_images/mathmpl/math-968de0e26b.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\mathtt{Typewriter}</span></code></td>
<td><img src="../_images/mathmpl/math-ca3f612baa.png" style="position: relative; bottom: -8px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\mathcal{CALLIGRAPHY}</span></code></td>
<td><img src="../_images/mathmpl/math-1f62587cf2.png" style="position: relative; bottom: -5px"/></td>
</tr>
</tbody>
</table>
</div></blockquote>
<p>When using the <a class="reference external" href="http://www.stixfonts.org/">STIX</a> fonts, you also have the choice of:</p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="48%" />
<col width="52%" />
</colgroup>
<thead valign="bottom">
<tr class="row-odd"><th class="head">Command</th>
<th class="head">Result</th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\mathbb{blackboard}</span></code></td>
<td><img src="../_images/mathmpl/math-a12676f03f.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\mathrm{\mathbb{blackboard}}</span></code></td>
<td><img src="../_images/mathmpl/math-014e74dc81.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\mathfrak{Fraktur}</span></code></td>
<td><img src="../_images/mathmpl/math-4f55ade322.png" style="position: relative; bottom: -7px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\mathsf{sansserif}</span></code></td>
<td><img src="../_images/mathmpl/math-e9444fe0c8.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\mathrm{\mathsf{sansserif}}</span></code></td>
<td><img src="../_images/mathmpl/math-c3a13bbc63.png" style="position: relative; bottom: -3px"/></td>
</tr>
</tbody>
</table>
</div></blockquote>
<table border="1" class="docutils">
<colgroup>
<col width="48%" />
<col width="52%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\mathcircled{circled}</span></code></td>
<td><img src="../_images/mathmpl/math-e82daa3fb7.png" style="position: relative; bottom: -3px"/></td>
</tr>
</tbody>
</table>
<p>There are also three global “font sets” to choose from, which are
selected using the <code class="docutils literal"><span class="pre">mathtext.fontset</span></code> parameter in
<a class="reference internal" href="customizing.html#matplotlibrc-sample"><span class="std std-ref">matplotlibrc</span></a>.</p>
<p><code class="docutils literal"><span class="pre">cm</span></code>: <strong>Computer Modern (TeX)</strong></p>
<img alt="../_images/cm_fontset.png" src="../_images/cm_fontset.png" />
<p><code class="docutils literal"><span class="pre">stix</span></code>: <strong>STIX</strong> (designed to blend well with Times)</p>
<img alt="../_images/stix_fontset.png" src="../_images/stix_fontset.png" />
<p><code class="docutils literal"><span class="pre">stixsans</span></code>: <strong>STIX sans-serif</strong></p>
<img alt="../_images/stixsans_fontset.png" src="../_images/stixsans_fontset.png" />
<p>Additionally, you can use <code class="docutils literal"><span class="pre">\mathdefault{...}</span></code> or its alias
<code class="docutils literal"><span class="pre">\mathregular{...}</span></code> to use the font used for regular text outside of
mathtext. There are a number of limitations to this approach, most
notably that far fewer symbols will be available, but it can be useful
to make math expressions blend well with other text in the plot.</p>
<div class="section" id="custom-fonts">
<h3>Custom fonts<a class="headerlink" href="#custom-fonts" title="Permalink to this headline">¶</a></h3>
<p>mathtext also provides a way to use custom fonts for math. This
method is fairly tricky to use, and should be considered an
experimental feature for patient users only. By setting the rcParam
<code class="docutils literal"><span class="pre">mathtext.fontset</span></code> to <code class="docutils literal"><span class="pre">custom</span></code>, you can then set the following
parameters, which control which font file to use for a particular set
of math characters.</p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="45%" />
<col width="55%" />
</colgroup>
<thead valign="bottom">
<tr class="row-odd"><th class="head">Parameter</th>
<th class="head">Corresponds to</th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td><code class="docutils literal"><span class="pre">mathtext.it</span></code></td>
<td><code class="docutils literal"><span class="pre">\mathit{}</span></code> or default italic</td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">mathtext.rm</span></code></td>
<td><code class="docutils literal"><span class="pre">\mathrm{}</span></code> Roman (upright)</td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">mathtext.tt</span></code></td>
<td><code class="docutils literal"><span class="pre">\mathtt{}</span></code> Typewriter (monospace)</td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">mathtext.bf</span></code></td>
<td><code class="docutils literal"><span class="pre">\mathbf{}</span></code> bold italic</td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">mathtext.cal</span></code></td>
<td><code class="docutils literal"><span class="pre">\mathcal{}</span></code> calligraphic</td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">mathtext.sf</span></code></td>
<td><code class="docutils literal"><span class="pre">\mathsf{}</span></code> sans-serif</td>
</tr>
</tbody>
</table>
</div></blockquote>
<p>Each parameter should be set to a fontconfig font descriptor (as
defined in the yet-to-be-written font chapter).</p>
<p>The fonts used should have a Unicode mapping in order to find any
non-Latin characters, such as Greek. If you want to use a math symbol
that is not contained in your custom fonts, you can set the rcParam
<code class="docutils literal"><span class="pre">mathtext.fallback_to_cm</span></code> to <code class="docutils literal"><span class="pre">True</span></code> which will cause the mathtext
system to use characters from the default Computer Modern fonts
whenever a particular character can not be found in the custom font.</p>
<p>Note that the math glyphs specified in Unicode have evolved over time,
and many fonts may not have glyphs in the correct place for mathtext.</p>
</div>
</div>
<div class="section" id="accents">
<h2>Accents<a class="headerlink" href="#accents" title="Permalink to this headline">¶</a></h2>
<p>An accent command may precede any symbol to add an accent above it.
There are long and short forms for some of them.</p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="48%" />
<col width="52%" />
</colgroup>
<thead valign="bottom">
<tr class="row-odd"><th class="head">Command</th>
<th class="head">Result</th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\acute</span> <span class="pre">a</span></code> or <code class="docutils literal"><span class="pre">\'a</span></code></td>
<td><img src="../_images/mathmpl/math-fac074d098.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\bar</span> <span class="pre">a</span></code></td>
<td><img src="../_images/mathmpl/math-b7c546c13f.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\breve</span> <span class="pre">a</span></code></td>
<td><img src="../_images/mathmpl/math-88814f8d66.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\ddot</span> <span class="pre">a</span></code> or <code class="docutils literal"><span class="pre">\"a</span></code></td>
<td><img src="../_images/mathmpl/math-adb99bedc4.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\dot</span> <span class="pre">a</span></code> or <code class="docutils literal"><span class="pre">\.a</span></code></td>
<td><img src="../_images/mathmpl/math-b5496f6786.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\grave</span> <span class="pre">a</span></code> or <code class="docutils literal"><span class="pre">\`a</span></code></td>
<td><img src="../_images/mathmpl/math-54cbc28bce.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\hat</span> <span class="pre">a</span></code> or <code class="docutils literal"><span class="pre">\^a</span></code></td>
<td><img src="../_images/mathmpl/math-16da2c10a1.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\tilde</span> <span class="pre">a</span></code> or <code class="docutils literal"><span class="pre">\~a</span></code></td>
<td><img src="../_images/mathmpl/math-3a8b2e99d6.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\vec</span> <span class="pre">a</span></code></td>
<td><img src="../_images/mathmpl/math-be2ea18bef.png" style="position: relative; bottom: -3px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\overline{abc}</span></code></td>
<td><img src="../_images/mathmpl/math-75e95f3f2b.png" style="position: relative; bottom: -3px"/></td>
</tr>
</tbody>
</table>
</div></blockquote>
<p>In addition, there are two special accents that automatically adjust
to the width of the symbols below:</p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="48%" />
<col width="52%" />
</colgroup>
<thead valign="bottom">
<tr class="row-odd"><th class="head">Command</th>
<th class="head">Result</th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td><code class="docutils literal"><span class="pre">\widehat{xyz}</span></code></td>
<td><img src="../_images/mathmpl/math-8e4b9eb82b.png" style="position: relative; bottom: -7px"/></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">\widetilde{xyz}</span></code></td>
<td><img src="../_images/mathmpl/math-bf67fbdaae.png" style="position: relative; bottom: -7px"/></td>
</tr>
</tbody>
</table>
</div></blockquote>
<p>Care should be taken when putting accents on lower-case i’s and j’s.
Note that in the following <code class="docutils literal"><span class="pre">\imath</span></code> is used to avoid the extra dot
over the i:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="s2">r"$\hat i\ \ \hat \imath$"</span>
</pre></div>
</div>
<img src="../_images/mathmpl/math-80117b16d3.png" class="center" /></div>
<div class="section" id="symbols">
<h2>Symbols<a class="headerlink" href="#symbols" title="Permalink to this headline">¶</a></h2>
<p>You can also use a large number of the TeX symbols, as in <code class="docutils literal"><span class="pre">\infty</span></code>,
<code class="docutils literal"><span class="pre">\leftarrow</span></code>, <code class="docutils literal"><span class="pre">\sum</span></code>, <code class="docutils literal"><span class="pre">\int</span></code>.</p>
<p><strong>Lower-case Greek</strong></p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="20%" />
<col width="20%" />
<col width="20%" />
<col width="20%" />
<col width="20%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-5149852f08.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\alpha</span></code></td>
<td><img src="../_images/mathmpl/math-59ed813421.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\beta</span></code></td>
<td><img src="../_images/mathmpl/math-7d54d13fc9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\chi</span></code></td>
<td><img src="../_images/mathmpl/math-e15357ad29.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\delta</span></code></td>
<td><img src="../_images/mathmpl/math-41188a0c1b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\digamma</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-21b6ff3aa7.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\epsilon</span></code></td>
<td><img src="../_images/mathmpl/math-0fa258552e.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\eta</span></code></td>
<td><img src="../_images/mathmpl/math-ae65c1de79.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\gamma</span></code></td>
<td><img src="../_images/mathmpl/math-ff6a67483e.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\iota</span></code></td>
<td><img src="../_images/mathmpl/math-436efe52d1.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\kappa</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-3642ca147d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\lambda</span></code></td>
<td><img src="../_images/mathmpl/math-3488de1d0a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\mu</span></code></td>
<td><img src="../_images/mathmpl/math-79a0df421c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\nu</span></code></td>
<td><img src="../_images/mathmpl/math-b555ccd28d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\omega</span></code></td>
<td><img src="../_images/mathmpl/math-e22cc525ec.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\phi</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-2c7a9dac6d.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\pi</span></code></td>
<td><img src="../_images/mathmpl/math-3fc9142b1d.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\psi</span></code></td>
<td><img src="../_images/mathmpl/math-f2e3547a85.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\rho</span></code></td>
<td><img src="../_images/mathmpl/math-293c147d21.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\sigma</span></code></td>
<td><img src="../_images/mathmpl/math-f970af607c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\tau</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-5dc8912759.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\theta</span></code></td>
<td><img src="../_images/mathmpl/math-ac7cfff3a1.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\upsilon</span></code></td>
<td><img src="../_images/mathmpl/math-a88976d8dd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\varepsilon</span></code></td>
<td><img src="../_images/mathmpl/math-67a8f5ca79.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\varkappa</span></code></td>
<td><img src="../_images/mathmpl/math-a79325da6f.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\varphi</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-5e94f6d1ef.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\varpi</span></code></td>
<td><img src="../_images/mathmpl/math-d6c1d2bb14.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\varrho</span></code></td>
<td><img src="../_images/mathmpl/math-92fc1ff85f.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\varsigma</span></code></td>
<td><img src="../_images/mathmpl/math-d11bf19a50.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\vartheta</span></code></td>
<td><img src="../_images/mathmpl/math-1859062b14.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\xi</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-d51bb4d6d4.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\zeta</span></code></td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
</tbody>
</table>
</div></blockquote>
<p><strong>Upper-case Greek</strong></p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="17%" />
<col width="17%" />
<col width="17%" />
<col width="17%" />
<col width="17%" />
<col width="17%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-e3168b0fff.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Delta</span></code></td>
<td><img src="../_images/mathmpl/math-4eacc6ba71.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Gamma</span></code></td>
<td><img src="../_images/mathmpl/math-a57791e0e2.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Lambda</span></code></td>
<td><img src="../_images/mathmpl/math-28d3e90e31.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Omega</span></code></td>
<td><img src="../_images/mathmpl/math-cebfe4186d.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\Phi</span></code></td>
<td><img src="../_images/mathmpl/math-3b938a5601.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Pi</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-d44376b8c3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Psi</span></code></td>
<td><img src="../_images/mathmpl/math-076bf05243.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Sigma</span></code></td>
<td><img src="../_images/mathmpl/math-98c28d2d1b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Theta</span></code></td>
<td><img src="../_images/mathmpl/math-43a44ec8e4.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\Upsilon</span></code></td>
<td><img src="../_images/mathmpl/math-376450e92a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Xi</span></code></td>
<td><img src="../_images/mathmpl/math-ab04245089.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\mho</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-9544659959.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\nabla</span></code></td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
</tbody>
</table>
</div></blockquote>
<p><strong>Hebrew</strong></p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="25%" />
<col width="25%" />
<col width="25%" />
<col width="25%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-d115134b0c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\aleph</span></code></td>
<td><img src="../_images/mathmpl/math-b1d46891d0.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\beth</span></code></td>
<td><img src="../_images/mathmpl/math-ad0c7d5fd3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\daleth</span></code></td>
<td><img src="../_images/mathmpl/math-4a68c72624.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\gimel</span></code></td>
</tr>
</tbody>
</table>
</div></blockquote>
<p><strong>Delimiters</strong></p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="17%" />
<col width="17%" />
<col width="17%" />
<col width="17%" />
<col width="17%" />
<col width="17%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-9d750cc7d9.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">/</span></code></td>
<td><img src="../_images/mathmpl/math-1f9db75fdb.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">[</span></code></td>
<td><img src="../_images/mathmpl/math-0c8ba18b43.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\Downarrow</span></code></td>
<td><img src="../_images/mathmpl/math-d00ab41d80.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\Uparrow</span></code></td>
<td><img src="../_images/mathmpl/math-2480720752.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\Vert</span></code></td>
<td><img src="../_images/mathmpl/math-b6a35dc0d4.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\backslash</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-56b7078922.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\downarrow</span></code></td>
<td><img src="../_images/mathmpl/math-46c392f788.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\langle</span></code></td>
<td><img src="../_images/mathmpl/math-6c35839641.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\lceil</span></code></td>
<td><img src="../_images/mathmpl/math-145ca7a5e7.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\lfloor</span></code></td>
<td><img src="../_images/mathmpl/math-554199c05b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\llcorner</span></code></td>
<td><img src="../_images/mathmpl/math-057e1a984d.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\lrcorner</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-ef94320557.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\rangle</span></code></td>
<td><img src="../_images/mathmpl/math-cbd4824a55.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\rceil</span></code></td>
<td><img src="../_images/mathmpl/math-c8d83de344.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\rfloor</span></code></td>
<td><img src="../_images/mathmpl/math-de64de5819.png" style="position: relative; bottom: --2px"/> <code class="docutils literal"><span class="pre">\ulcorner</span></code></td>
<td><img src="../_images/mathmpl/math-f1bfb0bbf7.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\uparrow</span></code></td>
<td><img src="../_images/mathmpl/math-4f8107394b.png" style="position: relative; bottom: --2px"/> <code class="docutils literal"><span class="pre">\urcorner</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-e12e277d39.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\vert</span></code></td>
<td><img src="../_images/mathmpl/math-f81f19a962.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\{</span></code></td>
<td><img src="../_images/mathmpl/math-ee61bb7cf9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\|</span></code></td>
<td><img src="../_images/mathmpl/math-19097cff83.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\}</span></code></td>
<td><img src="../_images/mathmpl/math-d35c7fd4db.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">]</span></code></td>
<td><img src="../_images/mathmpl/math-dfa04fb947.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">|</span></code></td>
</tr>
</tbody>
</table>
</div></blockquote>
<p><strong>Big symbols</strong></p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="20%" />
<col width="20%" />
<col width="20%" />
<col width="20%" />
<col width="20%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-db9b9e0126.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\bigcap</span></code></td>
<td><img src="../_images/mathmpl/math-52ee117ecd.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\bigcup</span></code></td>
<td><img src="../_images/mathmpl/math-a31bc74ee2.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\bigodot</span></code></td>
<td><img src="../_images/mathmpl/math-011efae7a0.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\bigoplus</span></code></td>
<td><img src="../_images/mathmpl/math-e8cf7f5844.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\bigotimes</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-8f896d9410.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\biguplus</span></code></td>
<td><img src="../_images/mathmpl/math-1de8afe642.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\bigvee</span></code></td>
<td><img src="../_images/mathmpl/math-888740ee66.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\bigwedge</span></code></td>
<td><img src="../_images/mathmpl/math-1bb3130224.png" style="position: relative; bottom: -9px"/> <code class="docutils literal"><span class="pre">\coprod</span></code></td>
<td><img src="../_images/mathmpl/math-1610e87ea8.png" style="position: relative; bottom: -19px"/> <code class="docutils literal"><span class="pre">\int</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-ce75170225.png" style="position: relative; bottom: -19px"/> <code class="docutils literal"><span class="pre">\oint</span></code></td>
<td><img src="../_images/mathmpl/math-e661b1289d.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\prod</span></code></td>
<td><img src="../_images/mathmpl/math-f6fb720d82.png" style="position: relative; bottom: -10px"/> <code class="docutils literal"><span class="pre">\sum</span></code></td>
<td> </td>
<td> </td>
</tr>
</tbody>
</table>
</div></blockquote>
<p><strong>Standard function names</strong></p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="25%" />
<col width="25%" />
<col width="25%" />
<col width="25%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-a174a79fa7.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Pr</span></code></td>
<td><img src="../_images/mathmpl/math-c7d2b9a8fd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\arccos</span></code></td>
<td><img src="../_images/mathmpl/math-bab33d6e68.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\arcsin</span></code></td>
<td><img src="../_images/mathmpl/math-f8ee41a28a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\arctan</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-510e2aecba.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\arg</span></code></td>
<td><img src="../_images/mathmpl/math-a539c63e58.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\cos</span></code></td>
<td><img src="../_images/mathmpl/math-46d99aa165.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\cosh</span></code></td>
<td><img src="../_images/mathmpl/math-06c793e494.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\cot</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-993151c5de.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\coth</span></code></td>
<td><img src="../_images/mathmpl/math-c72f36312c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\csc</span></code></td>
<td><img src="../_images/mathmpl/math-efdcd0e7c3.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\deg</span></code></td>
<td><img src="../_images/mathmpl/math-a4f974e6ac.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\det</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-4ceaca4089.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\dim</span></code></td>
<td><img src="../_images/mathmpl/math-9b8a721035.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\exp</span></code></td>
<td><img src="../_images/mathmpl/math-705a921d5a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\gcd</span></code></td>
<td><img src="../_images/mathmpl/math-ec200f4f3a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\hom</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-d78d7b5c1b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\inf</span></code></td>
<td><img src="../_images/mathmpl/math-9c3c23a23d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\ker</span></code></td>
<td><img src="../_images/mathmpl/math-0c0d015405.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\lg</span></code></td>
<td><img src="../_images/mathmpl/math-441aa359eb.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\lim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-2f010c89dd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\liminf</span></code></td>
<td><img src="../_images/mathmpl/math-a9a0109ea9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\limsup</span></code></td>
<td><img src="../_images/mathmpl/math-a5edc7016a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\ln</span></code></td>
<td><img src="../_images/mathmpl/math-e5cdb1d314.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\log</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-fb64cdd50f.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\max</span></code></td>
<td><img src="../_images/mathmpl/math-bf7d25e347.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\min</span></code></td>
<td><img src="../_images/mathmpl/math-a0b5414d31.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sec</span></code></td>
<td><img src="../_images/mathmpl/math-d8d19f17ef.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sin</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-fce9663ad9.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sinh</span></code></td>
<td><img src="../_images/mathmpl/math-358f2a2131.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\sup</span></code></td>
<td><img src="../_images/mathmpl/math-fb3512b848.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\tan</span></code></td>
<td><img src="../_images/mathmpl/math-8e6df07c24.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\tanh</span></code></td>
</tr>
</tbody>
</table>
</div></blockquote>
<p><strong>Binary operation and relation symbols</strong></p>
<blockquote>
<div><table border="1" class="docutils">
<colgroup>
<col width="33%" />
<col width="33%" />
<col width="33%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-f610b8e469.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\Bumpeq</span></code></td>
<td><img src="../_images/mathmpl/math-2a327a85e8.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Cap</span></code></td>
<td><img src="../_images/mathmpl/math-0fbbe481d0.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Cup</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-2303577dee.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\Doteq</span></code></td>
<td><img src="../_images/mathmpl/math-70e89758da.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\Join</span></code></td>
<td><img src="../_images/mathmpl/math-3d85215bfa.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Subset</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-191c6ba7fa.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Supset</span></code></td>
<td><img src="../_images/mathmpl/math-219444d8f5.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Vdash</span></code></td>
<td><img src="../_images/mathmpl/math-7db176731c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\Vvdash</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-c957a5ae9f.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\approx</span></code></td>
<td><img src="../_images/mathmpl/math-cf8f5e2275.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\approxeq</span></code></td>
<td><img src="../_images/mathmpl/math-4ea8b1e13e.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\ast</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-23c4970a1a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\asymp</span></code></td>
<td><img src="../_images/mathmpl/math-ea0303ad72.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\backepsilon</span></code></td>
<td><img src="../_images/mathmpl/math-b1d77626bb.png" style="position: relative; bottom: -0px"/> <code class="docutils literal"><span class="pre">\backsim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-af3bc8ac21.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\backsimeq</span></code></td>
<td><img src="../_images/mathmpl/math-71771b9385.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\barwedge</span></code></td>
<td><img src="../_images/mathmpl/math-937e2c148d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\because</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-51ae43b24b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\between</span></code></td>
<td><img src="../_images/mathmpl/math-3b72c12de0.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\bigcirc</span></code></td>
<td><img src="../_images/mathmpl/math-e98739824f.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\bigtriangledown</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-52ddd6655e.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\bigtriangleup</span></code></td>
<td><img src="../_images/mathmpl/math-679967c920.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\blacktriangleleft</span></code></td>
<td><img src="../_images/mathmpl/math-2ff97d8581.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\blacktriangleright</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-d2bc160257.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\bot</span></code></td>
<td><img src="../_images/mathmpl/math-88c0703f35.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\bowtie</span></code></td>
<td><img src="../_images/mathmpl/math-0cc3cb6c41.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\boxdot</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-b5a379f4e8.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\boxminus</span></code></td>
<td><img src="../_images/mathmpl/math-3e25be9041.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\boxplus</span></code></td>
<td><img src="../_images/mathmpl/math-d3219d7443.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\boxtimes</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-ef7a046183.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\bullet</span></code></td>
<td><img src="../_images/mathmpl/math-c5baac4e57.png" /> <code class="docutils literal"><span class="pre">\bumpeq</span></code></td>
<td><img src="../_images/mathmpl/math-f0c7f8f01c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\cap</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-5a90bc5099.png" style="position: relative; bottom: --1px"/> <code class="docutils literal"><span class="pre">\cdot</span></code></td>
<td><img src="../_images/mathmpl/math-f9b0df773f.png" style="position: relative; bottom: -1px"/> <code class="docutils literal"><span class="pre">\circ</span></code></td>
<td><img src="../_images/mathmpl/math-5af298e692.png" /> <code class="docutils literal"><span class="pre">\circeq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-e4d9d4c64b.png" style="position: relative; bottom: -1px"/> <code class="docutils literal"><span class="pre">\coloneq</span></code></td>
<td><img src="../_images/mathmpl/math-b43c061111.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\cong</span></code></td>
<td><img src="../_images/mathmpl/math-20b287ac85.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\cup</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-c0df1e9b19.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\curlyeqprec</span></code></td>
<td><img src="../_images/mathmpl/math-995f666935.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\curlyeqsucc</span></code></td>
<td><img src="../_images/mathmpl/math-615de138a6.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\curlyvee</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-5af1fa6042.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\curlywedge</span></code></td>
<td><img src="../_images/mathmpl/math-9b12241d0c.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\dag</span></code></td>
<td><img src="../_images/mathmpl/math-9e1beabce9.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\dashv</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-f0fa40854a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\ddag</span></code></td>
<td><img src="../_images/mathmpl/math-765d4eae57.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\diamond</span></code></td>
<td><img src="../_images/mathmpl/math-a1903b29fd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\div</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-3df678db55.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\divideontimes</span></code></td>
<td><img src="../_images/mathmpl/math-a5b22dbdac.png" /> <code class="docutils literal"><span class="pre">\doteq</span></code></td>
<td><img src="../_images/mathmpl/math-ff23293ae5.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\doteqdot</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-397b5fc155.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\dotplus</span></code></td>
<td><img src="../_images/mathmpl/math-d5242ce585.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\doublebarwedge</span></code></td>
<td><img src="../_images/mathmpl/math-a4f1a69c76.png" style="position: relative; bottom: -1px"/> <code class="docutils literal"><span class="pre">\eqcirc</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-17826fcd24.png" style="position: relative; bottom: -1px"/> <code class="docutils literal"><span class="pre">\eqcolon</span></code></td>
<td><img src="../_images/mathmpl/math-c104febab3.png" style="position: relative; bottom: -2px"/> <code class="docutils literal"><span class="pre">\eqsim</span></code></td>
<td><img src="../_images/mathmpl/math-45eaae26d2.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\eqslantgtr</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-c3fea548da.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\eqslantless</span></code></td>
<td><img src="../_images/mathmpl/math-cc1340c453.png" style="position: relative; bottom: -1px"/> <code class="docutils literal"><span class="pre">\equiv</span></code></td>
<td><img src="../_images/mathmpl/math-7965c0c1af.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\fallingdotseq</span></code></td>
</tr>
</tbody>
</table>
<table border="1" class="docutils">
<colgroup>
<col width="33%" />
<col width="33%" />
<col width="33%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-a41c184ca6.png" style="position: relative; bottom: -0px"/> <code class="docutils literal"><span class="pre">\frown</span></code></td>
<td><img src="../_images/mathmpl/math-0bf42a25bb.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\geq</span></code></td>
<td><img src="../_images/mathmpl/math-9b14251f65.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\geqq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-1fca7a951f.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\geqslant</span></code></td>
<td><img src="../_images/mathmpl/math-f9990bc9cf.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\gg</span></code></td>
<td><img src="../_images/mathmpl/math-a3de1e5b51.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\ggg</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-04c47dcb6e.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\gnapprox</span></code></td>
<td><img src="../_images/mathmpl/math-a3f9f1f014.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\gneqq</span></code></td>
<td><img src="../_images/mathmpl/math-793d9cedd0.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\gnsim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-207852189a.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\gtrapprox</span></code></td>
<td><img src="../_images/mathmpl/math-9336896bb3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\gtrdot</span></code></td>
<td><img src="../_images/mathmpl/math-4cd21f8ba6.png" style="position: relative; bottom: -9px"/> <code class="docutils literal"><span class="pre">\gtreqless</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-18a0084a2d.png" style="position: relative; bottom: -11px"/> <code class="docutils literal"><span class="pre">\gtreqqless</span></code></td>
<td><img src="../_images/mathmpl/math-8e388594ad.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\gtrless</span></code></td>
<td><img src="../_images/mathmpl/math-9d5e427aeb.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\gtrsim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-58e3fcf6fd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\in</span></code></td>
<td><img src="../_images/mathmpl/math-0e049fe80b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\intercal</span></code></td>
<td><img src="../_images/mathmpl/math-1a503a50f2.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\leftthreetimes</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-aca311c641.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\leq</span></code></td>
<td><img src="../_images/mathmpl/math-d87b34b699.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\leqq</span></code></td>
<td><img src="../_images/mathmpl/math-764751dad5.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\leqslant</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-b8571a3cc2.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\lessapprox</span></code></td>
<td><img src="../_images/mathmpl/math-6cb5c3c310.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\lessdot</span></code></td>
<td><img src="../_images/mathmpl/math-1632a38331.png" style="position: relative; bottom: -9px"/> <code class="docutils literal"><span class="pre">\lesseqgtr</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-d367d088c6.png" style="position: relative; bottom: -11px"/> <code class="docutils literal"><span class="pre">\lesseqqgtr</span></code></td>
<td><img src="../_images/mathmpl/math-268c486057.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\lessgtr</span></code></td>
<td><img src="../_images/mathmpl/math-b53ab799d1.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\lesssim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-f5e02865f3.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\ll</span></code></td>
<td><img src="../_images/mathmpl/math-2303518311.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\lll</span></code></td>
<td><img src="../_images/mathmpl/math-c408639f33.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\lnapprox</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-38bf4cf10d.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\lneqq</span></code></td>
<td><img src="../_images/mathmpl/math-ad67ff4a6f.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\lnsim</span></code></td>
<td><img src="../_images/mathmpl/math-f557917efd.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\ltimes</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-96c9a8ca95.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\mid</span></code></td>
<td><img src="../_images/mathmpl/math-b5ae8c62a3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\models</span></code></td>
<td><img src="../_images/mathmpl/math-608c4a02ea.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\mp</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-e0ca686f62.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\nVDash</span></code></td>
<td><img src="../_images/mathmpl/math-4d5d5f4ffb.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\nVdash</span></code></td>
<td><img src="../_images/mathmpl/math-8aa32761da.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\napprox</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-92306485fb.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\ncong</span></code></td>
<td><img src="../_images/mathmpl/math-6e6c5971ad.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\ne</span></code></td>
<td><img src="../_images/mathmpl/math-da1122f776.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\neq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-da1122f776.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\neq</span></code></td>
<td><img src="../_images/mathmpl/math-989088989a.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\nequiv</span></code></td>
<td><img src="../_images/mathmpl/math-07c03ece9c.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\ngeq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-c2c43a5762.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\ngtr</span></code></td>
<td><img src="../_images/mathmpl/math-7e90b124a8.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\ni</span></code></td>
<td><img src="../_images/mathmpl/math-1c2ed5670a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\nleq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-c9136df47e.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\nless</span></code></td>
<td><img src="../_images/mathmpl/math-4c5d76f523.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\nmid</span></code></td>
<td><img src="../_images/mathmpl/math-9afe2d20f8.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\notin</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-e63a2108d5.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\nparallel</span></code></td>
<td><img src="../_images/mathmpl/math-201b65e42c.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\nprec</span></code></td>
<td><img src="../_images/mathmpl/math-37454f1e25.png" style="position: relative; bottom: -0px"/> <code class="docutils literal"><span class="pre">\nsim</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-b045970090.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\nsubset</span></code></td>
<td><img src="../_images/mathmpl/math-e2dcef116c.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\nsubseteq</span></code></td>
<td><img src="../_images/mathmpl/math-0dc1c96f16.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\nsucc</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-0d1363d575.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\nsupset</span></code></td>
<td><img src="../_images/mathmpl/math-8963eae853.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\nsupseteq</span></code></td>
<td><img src="../_images/mathmpl/math-2eaa265b46.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\ntriangleleft</span></code></td>
</tr>
</tbody>
</table>
<table border="1" class="docutils">
<colgroup>
<col width="33%" />
<col width="33%" />
<col width="33%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><img src="../_images/mathmpl/math-343170b287.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\ntrianglelefteq</span></code></td>
<td><img src="../_images/mathmpl/math-813dcf0a93.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\ntriangleright</span></code></td>
<td><img src="../_images/mathmpl/math-df6899ad3e.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\ntrianglerighteq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-a55f718abe.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\nvDash</span></code></td>
<td><img src="../_images/mathmpl/math-fefbb15af0.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\nvdash</span></code></td>
<td><img src="../_images/mathmpl/math-b8348856ea.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\odot</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-497b831b05.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\ominus</span></code></td>
<td><img src="../_images/mathmpl/math-cfcebc2ef8.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\oplus</span></code></td>
<td><img src="../_images/mathmpl/math-6fd5eead33.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\oslash</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-3d7ac4bb5c.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\otimes</span></code></td>
<td><img src="../_images/mathmpl/math-305e05a6ab.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\parallel</span></code></td>
<td><img src="../_images/mathmpl/math-86ea2beb93.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\perp</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-62d5e1ef75.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\pitchfork</span></code></td>
<td><img src="../_images/mathmpl/math-813255d42d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\pm</span></code></td>
<td><img src="../_images/mathmpl/math-2a54002803.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\prec</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-6f127405a3.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\precapprox</span></code></td>
<td><img src="../_images/mathmpl/math-5686c5a93f.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\preccurlyeq</span></code></td>
<td><img src="../_images/mathmpl/math-c6975aea0e.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\preceq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-53e4edd44d.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\precnapprox</span></code></td>
<td><img src="../_images/mathmpl/math-b7c281dd54.png" style="position: relative; bottom: -8px"/> <code class="docutils literal"><span class="pre">\precnsim</span></code></td>
<td><img src="../_images/mathmpl/math-58f182e47e.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\precsim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-4225d47da8.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\propto</span></code></td>
<td><img src="../_images/mathmpl/math-03cbb97a54.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\rightthreetimes</span></code></td>
<td><img src="../_images/mathmpl/math-8f609835cb.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\risingdotseq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-61a5f3fde0.png" style="position: relative; bottom: -4px"/> <code class="docutils literal"><span class="pre">\rtimes</span></code></td>
<td><img src="../_images/mathmpl/math-10ab63f88f.png" style="position: relative; bottom: -0px"/> <code class="docutils literal"><span class="pre">\sim</span></code></td>
<td><img src="../_images/mathmpl/math-f5e3901a47.png" style="position: relative; bottom: -1px"/> <code class="docutils literal"><span class="pre">\simeq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-cd5adea2d9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\slash</span></code></td>
<td><img src="../_images/mathmpl/math-11c6bdf228.png" style="position: relative; bottom: -0px"/> <code class="docutils literal"><span class="pre">\smile</span></code></td>
<td><img src="../_images/mathmpl/math-2fc0f7c957.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sqcap</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-f3f9a5c2b6.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sqcup</span></code></td>
<td><img src="../_images/mathmpl/math-32710445c4.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sqsubset</span></code></td>
<td><img src="../_images/mathmpl/math-32710445c4.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sqsubset</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-6462f633f1.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\sqsubseteq</span></code></td>
<td><img src="../_images/mathmpl/math-b373234f3b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sqsupset</span></code></td>
<td><img src="../_images/mathmpl/math-b373234f3b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\sqsupset</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-301349a96f.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\sqsupseteq</span></code></td>
<td><img src="../_images/mathmpl/math-3ea081f1d9.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\star</span></code></td>
<td><img src="../_images/mathmpl/math-d7ee7c1348.png" style="position: relative; bottom: -3px"/> <code class="docutils literal"><span class="pre">\subset</span></code></td>
</tr>
<tr class="row-even"><td><img src="../_images/mathmpl/math-ab35a80a37.png" style="position: relative; bottom: -5px"/> <code class="docutils literal"><span class="pre">\subseteq</span></code></td>
<td><img src="../_images/mathmpl/math-329584d288.png" style="position: relative; bottom: -7px"/> <code class="docutils literal"><span class="pre">\subseteqq</span></code></td>
<td><img src="../_images/mathmpl/math-26f9e5316b.png" style="position: relative; bottom: -6px"/> <code class="docutils literal"><span class="pre">\subsetneq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../_images/mathmpl/math-d6c1dc73f3.png" style="position: relative; bottom: -9px"/> <code class="docutils literal"><span class="pre">\subsetneqq</span></code></td>