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<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>
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<div class="sphx-glr-download-link-note admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Click <a class="reference internal" href="#sphx-glr-download-tutorials-text-mathtext-py"><span class="std std-ref">here</span></a> to download the full example code</p>
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<div class="sphx-glr-example-title section" id="writing-mathematical-expressions">
<span id="sphx-glr-tutorials-text-mathtext-py"></span><h1>Writing mathematical expressions<a class="headerlink" href="#writing-mathematical-expressions" title="Permalink to this headline">¶</a></h1>
<p>An introduction to writing mathematical expressions in Matplotlib.</p>
<p>You can use a subset TeX markup in any matplotlib text string by
placing it inside a pair of dollar signs ($).</p>
<p>Note that you do not need to have TeX installed, since matplotlib
ships its own TeX expression parser, layout engine and fonts. The
layout engine is a fairly direct adaptation of the layout algorithms
in Donald Knuth’s TeX, so the quality is quite good (matplotlib also
provides a <code class="docutils literal notranslate"><span class="pre">usetex</span></code> option for those who do want to call out to TeX
to generate their text (see <a class="reference internal" href="usetex.html#sphx-glr-tutorials-text-usetex-py"><span class="std std-ref">Text rendering With LaTeX</span></a>).</p>
<p>Any text element can use math text. You should use raw strings (precede the
quotes with an <code class="docutils literal notranslate"><span class="pre">'r'</span></code>), and surround the math text with dollar signs ($), as in
TeX. Regular text and mathtext can be interleaved within the same string.
Mathtext can use DejaVu Sans (default), DejaVu Serif, 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 notranslate"><span class="pre">mathtext.fontset</span></code> (see
<a class="reference internal" href="../introductory/customizing.html#sphx-glr-tutorials-introductory-customizing-py"><span class="std std-ref">Customizing Matplotlib with style sheets and rcParams</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 notranslate"><span class="pre">ps.fonttype</span></code> and <code class="docutils literal notranslate"><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 notranslate"><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 notranslate"><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="sa">r</span><span class="s1">'$\alpha > \beta$'</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 notranslate"><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 notranslate"><span class="pre">text.usetex</span></code> flag. See the <a class="reference internal" href="usetex.html#sphx-glr-tutorials-text-usetex-py"><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 notranslate"><span class="pre">'_'</span></code> and <code class="docutils literal notranslate"><span class="pre">'^'</span></code> symbols:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$\alpha_i > \beta_i$'</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 notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$\sum_{i=0}^\infty x_i$'</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 notranslate"><span class="pre">\frac{}{}</span></code>, <code class="docutils literal notranslate"><span class="pre">\binom{}{}</span></code> and <code class="docutils literal notranslate"><span class="pre">\stackrel{}{}</span></code> commands,
respectively:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$\frac</span><span class="si">{3}{4}</span><span class="s1"> \binom</span><span class="si">{3}{4}</span><span class="s1"> \stackrel</span><span class="si">{3}{4}</span><span class="s1">$'</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 notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$\frac{5 - \frac</span><span class="si">{1}{x}</span><span class="s1">}</span><span class="si">{4}</span><span class="s1">$'</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 notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$(\frac{5 - \frac</span><span class="si">{1}{x}</span><span class="s1">}</span><span class="si">{4}</span><span class="s1">)$'</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 notranslate"><span class="pre">\left</span></code> and <code class="docutils literal notranslate"><span class="pre">\right</span></code>
to inform the parser that those brackets encompass the entire object.:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$\left(\frac{5 - \frac</span><span class="si">{1}{x}</span><span class="s1">}</span><span class="si">{4}</span><span class="s1">\right)$'</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 notranslate"><span class="pre">\sqrt[]{}</span></code> command. For example:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$\sqrt</span><span class="si">{2}</span><span class="s1">$'</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 notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$\sqrt[3]</span><span class="si">{x}</span><span class="s1">$'</span>
</pre></div>
</div>
<img src="../../_images/mathmpl/math-6b6cc30aef.png" class="center" /></div>
<div class="section" id="fonts">
<span id="mathtext-fonts"></span><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 notranslate"><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 notranslate"><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 notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$s(t) = \mathcal</span><span class="si">{A}</span><span class="s1">\mathrm</span><span class="si">{sin}</span><span class="s1">(2 \omega t)$'</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 notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s1">'$s(t) = \mathcal</span><span class="si">{A}</span><span class="s1">\sin(2 \omega t)$'</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 calligraphy <code class="docutils literal notranslate"><span class="pre">A</span></code> is squished into the <code class="docutils literal notranslate"><span class="pre">sin</span></code>. You
can use a spacing command to add a little whitespace between them:</p>
<div class="highlight-default notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><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><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 notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><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>
</div></blockquote>
<p>There are also three global “font sets” to choose from, which are
selected using the <code class="docutils literal notranslate"><span class="pre">mathtext.fontset</span></code> parameter in
<a class="reference internal" href="../introductory/customizing.html#matplotlibrc-sample"><span class="std std-ref">matplotlibrc</span></a>.</p>
<p><code class="docutils literal notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><span class="pre">\mathdefault{...}</span></code> or its alias
<code class="docutils literal notranslate"><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 notranslate"><span class="pre">mathtext.fontset</span></code> to <code class="docutils literal notranslate"><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 notranslate"><span class="pre">mathtext.it</span></code></td>
<td><code class="docutils literal notranslate"><span class="pre">\mathit{}</span></code> or default italic</td>
</tr>
<tr class="row-odd"><td><code class="docutils literal notranslate"><span class="pre">mathtext.rm</span></code></td>
<td><code class="docutils literal notranslate"><span class="pre">\mathrm{}</span></code> Roman (upright)</td>
</tr>
<tr class="row-even"><td><code class="docutils literal notranslate"><span class="pre">mathtext.tt</span></code></td>
<td><code class="docutils literal notranslate"><span class="pre">\mathtt{}</span></code> Typewriter (monospace)</td>
</tr>
<tr class="row-odd"><td><code class="docutils literal notranslate"><span class="pre">mathtext.bf</span></code></td>
<td><code class="docutils literal notranslate"><span class="pre">\mathbf{}</span></code> bold italic</td>
</tr>
<tr class="row-even"><td><code class="docutils literal notranslate"><span class="pre">mathtext.cal</span></code></td>
<td><code class="docutils literal notranslate"><span class="pre">\mathcal{}</span></code> calligraphic</td>
</tr>
<tr class="row-odd"><td><code class="docutils literal notranslate"><span class="pre">mathtext.sf</span></code></td>
<td><code class="docutils literal notranslate"><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 notranslate"><span class="pre">mathtext.fallback_to_cm</span></code> to <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\acute</span> <span class="pre">a</span></code> or <code class="docutils literal notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><span class="pre">\ddot</span> <span class="pre">a</span></code> or <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\dot</span> <span class="pre">a</span></code> or <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\grave</span> <span class="pre">a</span></code> or <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\hat</span> <span class="pre">a</span></code> or <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\tilde</span> <span class="pre">a</span></code> or <code class="docutils literal notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><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 notranslate"><span class="pre">\imath</span></code> is used to avoid the extra dot
over the i:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="sa">r</span><span class="s2">"$\hat i\ \ \hat \imath$"</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 notranslate"><span class="pre">\infty</span></code>,
<code class="docutils literal notranslate"><span class="pre">\leftarrow</span></code>, <code class="docutils literal notranslate"><span class="pre">\sum</span></code>, <code class="docutils literal notranslate"><span class="pre">\int</span></code>.</p>
<p><strong>Lower-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-5149852f08.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\alpha</span></code></td>
<td><img src="../../_images/mathmpl/math-59ed813421.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\beta</span></code></td>
<td><img src="../../_images/mathmpl/math-7d54d13fc9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\chi</span></code></td>
<td><img src="../../_images/mathmpl/math-e15357ad29.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\delta</span></code></td>
<td><img src="../../_images/mathmpl/math-41188a0c1b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\digamma</span></code></td>
<td><img src="../../_images/mathmpl/math-21b6ff3aa7.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\epsilon</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-0fa258552e.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\eta</span></code></td>
<td><img src="../../_images/mathmpl/math-ae65c1de79.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\gamma</span></code></td>
<td><img src="../../_images/mathmpl/math-ff6a67483e.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\iota</span></code></td>
<td><img src="../../_images/mathmpl/math-436efe52d1.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\kappa</span></code></td>
<td><img src="../../_images/mathmpl/math-3642ca147d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\lambda</span></code></td>
<td><img src="../../_images/mathmpl/math-3488de1d0a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\mu</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-79a0df421c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\nu</span></code></td>
<td><img src="../../_images/mathmpl/math-b555ccd28d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\omega</span></code></td>
<td><img src="../../_images/mathmpl/math-e22cc525ec.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\phi</span></code></td>
<td><img src="../../_images/mathmpl/math-2c7a9dac6d.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\pi</span></code></td>
<td><img src="../../_images/mathmpl/math-3fc9142b1d.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\psi</span></code></td>
<td><img src="../../_images/mathmpl/math-f2e3547a85.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\rho</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-293c147d21.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\sigma</span></code></td>
<td><img src="../../_images/mathmpl/math-f970af607c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\tau</span></code></td>
<td><img src="../../_images/mathmpl/math-5dc8912759.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\theta</span></code></td>
<td><img src="../../_images/mathmpl/math-ac7cfff3a1.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\upsilon</span></code></td>
<td><img src="../../_images/mathmpl/math-a88976d8dd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\varepsilon</span></code></td>
<td><img src="../../_images/mathmpl/math-67a8f5ca79.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\varkappa</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-a79325da6f.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\varphi</span></code></td>
<td><img src="../../_images/mathmpl/math-5e94f6d1ef.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\varpi</span></code></td>
<td><img src="../../_images/mathmpl/math-d6c1d2bb14.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\varrho</span></code></td>
<td><img src="../../_images/mathmpl/math-92fc1ff85f.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\varsigma</span></code></td>
<td><img src="../../_images/mathmpl/math-d11bf19a50.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\vartheta</span></code></td>
<td><img src="../../_images/mathmpl/math-1859062b14.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\xi</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-d51bb4d6d4.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\zeta</span></code></td>
<td> </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="13%" />
<col width="13%" />
<col width="13%" />
<col width="13%" />
<col width="13%" />
<col width="13%" />
<col width="13%" />
<col width="13%" />
</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 notranslate"><span class="pre">\Delta</span></code></td>
<td><img src="../../_images/mathmpl/math-4eacc6ba71.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Gamma</span></code></td>
<td><img src="../../_images/mathmpl/math-a57791e0e2.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Lambda</span></code></td>
<td><img src="../../_images/mathmpl/math-28d3e90e31.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Omega</span></code></td>
<td><img src="../../_images/mathmpl/math-cebfe4186d.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\Phi</span></code></td>
<td><img src="../../_images/mathmpl/math-3b938a5601.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Pi</span></code></td>
<td><img src="../../_images/mathmpl/math-d44376b8c3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Psi</span></code></td>
<td><img src="../../_images/mathmpl/math-076bf05243.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Sigma</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-98c28d2d1b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Theta</span></code></td>
<td><img src="../../_images/mathmpl/math-43a44ec8e4.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\Upsilon</span></code></td>
<td><img src="../../_images/mathmpl/math-376450e92a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Xi</span></code></td>
<td><img src="../../_images/mathmpl/math-ab04245089.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\mho</span></code></td>
<td><img src="../../_images/mathmpl/math-9544659959.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\nabla</span></code></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="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-d115134b0c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\aleph</span></code></td>
<td><img src="../../_images/mathmpl/math-b1d46891d0.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\beth</span></code></td>
<td><img src="../../_images/mathmpl/math-ad0c7d5fd3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\daleth</span></code></td>
<td><img src="../../_images/mathmpl/math-4a68c72624.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\gimel</span></code></td>
<td> </td>
<td> </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 notranslate"><span class="pre">/</span></code></td>
<td><img src="../../_images/mathmpl/math-1f9db75fdb.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">[</span></code></td>
<td><img src="../../_images/mathmpl/math-0c8ba18b43.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\Downarrow</span></code></td>
<td><img src="../../_images/mathmpl/math-d00ab41d80.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\Uparrow</span></code></td>
<td><img src="../../_images/mathmpl/math-2480720752.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\Vert</span></code></td>
<td><img src="../../_images/mathmpl/math-b6a35dc0d4.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\downarrow</span></code></td>
<td><img src="../../_images/mathmpl/math-46c392f788.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\langle</span></code></td>
<td><img src="../../_images/mathmpl/math-6c35839641.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\lceil</span></code></td>
<td><img src="../../_images/mathmpl/math-145ca7a5e7.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\lfloor</span></code></td>
<td><img src="../../_images/mathmpl/math-554199c05b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\llcorner</span></code></td>
<td><img src="../../_images/mathmpl/math-057e1a984d.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\rangle</span></code></td>
<td><img src="../../_images/mathmpl/math-cbd4824a55.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\rceil</span></code></td>
<td><img src="../../_images/mathmpl/math-c8d83de344.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\rfloor</span></code></td>
<td><img src="../../_images/mathmpl/math-de64de5819.png" style="position: relative; bottom: --2px"/> <code class="docutils literal notranslate"><span class="pre">\ulcorner</span></code></td>
<td><img src="../../_images/mathmpl/math-f1bfb0bbf7.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\uparrow</span></code></td>
<td><img src="../../_images/mathmpl/math-4f8107394b.png" style="position: relative; bottom: --2px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\vert</span></code></td>
<td><img src="../../_images/mathmpl/math-f81f19a962.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\{</span></code></td>
<td><img src="../../_images/mathmpl/math-ee61bb7cf9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\|</span></code></td>
<td><img src="../../_images/mathmpl/math-19097cff83.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\}</span></code></td>
<td><img src="../../_images/mathmpl/math-d35c7fd4db.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">]</span></code></td>
<td><img src="../../_images/mathmpl/math-dfa04fb947.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><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="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-db9b9e0126.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\bigcap</span></code></td>
<td><img src="../../_images/mathmpl/math-52ee117ecd.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\bigcup</span></code></td>
<td><img src="../../_images/mathmpl/math-a31bc74ee2.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\bigodot</span></code></td>
<td><img src="../../_images/mathmpl/math-011efae7a0.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\bigoplus</span></code></td>
<td><img src="../../_images/mathmpl/math-e8cf7f5844.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\bigotimes</span></code></td>
<td><img src="../../_images/mathmpl/math-8f896d9410.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\biguplus</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-1de8afe642.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\bigvee</span></code></td>
<td><img src="../../_images/mathmpl/math-888740ee66.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\bigwedge</span></code></td>
<td><img src="../../_images/mathmpl/math-1bb3130224.png" style="position: relative; bottom: -9px"/> <code class="docutils literal notranslate"><span class="pre">\coprod</span></code></td>
<td><img src="../../_images/mathmpl/math-1610e87ea8.png" style="position: relative; bottom: -19px"/> <code class="docutils literal notranslate"><span class="pre">\int</span></code></td>
<td><img src="../../_images/mathmpl/math-ce75170225.png" style="position: relative; bottom: -19px"/> <code class="docutils literal notranslate"><span class="pre">\oint</span></code></td>
<td><img src="../../_images/mathmpl/math-e661b1289d.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\prod</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-f6fb720d82.png" style="position: relative; bottom: -10px"/> <code class="docutils literal notranslate"><span class="pre">\sum</span></code></td>
<td> </td>
<td> </td>
<td> </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="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-a174a79fa7.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Pr</span></code></td>
<td><img src="../../_images/mathmpl/math-c7d2b9a8fd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\arccos</span></code></td>
<td><img src="../../_images/mathmpl/math-bab33d6e68.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\arcsin</span></code></td>
<td><img src="../../_images/mathmpl/math-f8ee41a28a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\arctan</span></code></td>
<td><img src="../../_images/mathmpl/math-510e2aecba.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\arg</span></code></td>
<td><img src="../../_images/mathmpl/math-a539c63e58.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\cos</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-46d99aa165.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\cosh</span></code></td>
<td><img src="../../_images/mathmpl/math-06c793e494.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\cot</span></code></td>
<td><img src="../../_images/mathmpl/math-993151c5de.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\coth</span></code></td>
<td><img src="../../_images/mathmpl/math-c72f36312c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\csc</span></code></td>
<td><img src="../../_images/mathmpl/math-efdcd0e7c3.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\deg</span></code></td>
<td><img src="../../_images/mathmpl/math-a4f974e6ac.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\det</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-4ceaca4089.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\dim</span></code></td>
<td><img src="../../_images/mathmpl/math-9b8a721035.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\exp</span></code></td>
<td><img src="../../_images/mathmpl/math-705a921d5a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\gcd</span></code></td>
<td><img src="../../_images/mathmpl/math-ec200f4f3a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\hom</span></code></td>
<td><img src="../../_images/mathmpl/math-d78d7b5c1b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\inf</span></code></td>
<td><img src="../../_images/mathmpl/math-9c3c23a23d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\ker</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-0c0d015405.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\lg</span></code></td>
<td><img src="../../_images/mathmpl/math-441aa359eb.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\lim</span></code></td>
<td><img src="../../_images/mathmpl/math-2f010c89dd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\liminf</span></code></td>
<td><img src="../../_images/mathmpl/math-a9a0109ea9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\limsup</span></code></td>
<td><img src="../../_images/mathmpl/math-a5edc7016a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\ln</span></code></td>
<td><img src="../../_images/mathmpl/math-e5cdb1d314.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\max</span></code></td>
<td><img src="../../_images/mathmpl/math-bf7d25e347.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\min</span></code></td>
<td><img src="../../_images/mathmpl/math-a0b5414d31.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sec</span></code></td>
<td><img src="../../_images/mathmpl/math-d8d19f17ef.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sin</span></code></td>
<td><img src="../../_images/mathmpl/math-fce9663ad9.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sinh</span></code></td>
<td><img src="../../_images/mathmpl/math-358f2a2131.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\sup</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-fb3512b848.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\tan</span></code></td>
<td><img src="../../_images/mathmpl/math-8e6df07c24.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\tanh</span></code></td>
<td> </td>
<td> </td>
<td> </td>
<td> </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="25%" />
<col width="25%" />
<col width="25%" />
<col width="25%" />
</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 notranslate"><span class="pre">\Bumpeq</span></code></td>
<td><img src="../../_images/mathmpl/math-2a327a85e8.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Cap</span></code></td>
<td><img src="../../_images/mathmpl/math-0fbbe481d0.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Cup</span></code></td>
<td><img src="../../_images/mathmpl/math-2303577dee.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\Doteq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-70e89758da.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\Join</span></code></td>
<td><img src="../../_images/mathmpl/math-3d85215bfa.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Subset</span></code></td>
<td><img src="../../_images/mathmpl/math-191c6ba7fa.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Supset</span></code></td>
<td><img src="../../_images/mathmpl/math-219444d8f5.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Vdash</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-7db176731c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\Vvdash</span></code></td>
<td><img src="../../_images/mathmpl/math-c957a5ae9f.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\approx</span></code></td>
<td><img src="../../_images/mathmpl/math-cf8f5e2275.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\approxeq</span></code></td>
<td><img src="../../_images/mathmpl/math-4ea8b1e13e.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\ast</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-23c4970a1a.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\asymp</span></code></td>
<td><img src="../../_images/mathmpl/math-ea0303ad72.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\backepsilon</span></code></td>
<td><img src="../../_images/mathmpl/math-b1d77626bb.png" style="position: relative; bottom: -0px"/> <code class="docutils literal notranslate"><span class="pre">\backsim</span></code></td>
<td><img src="../../_images/mathmpl/math-af3bc8ac21.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\backsimeq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-71771b9385.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\barwedge</span></code></td>
<td><img src="../../_images/mathmpl/math-937e2c148d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\because</span></code></td>
<td><img src="../../_images/mathmpl/math-51ae43b24b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\between</span></code></td>
<td><img src="../../_images/mathmpl/math-3b72c12de0.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\bigcirc</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-e98739824f.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\bigtriangledown</span></code></td>
<td><img src="../../_images/mathmpl/math-52ddd6655e.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\bigtriangleup</span></code></td>
<td><img src="../../_images/mathmpl/math-679967c920.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\blacktriangleleft</span></code></td>
<td><img src="../../_images/mathmpl/math-2ff97d8581.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\bot</span></code></td>
<td><img src="../../_images/mathmpl/math-88c0703f35.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\bowtie</span></code></td>
<td><img src="../../_images/mathmpl/math-0cc3cb6c41.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\boxdot</span></code></td>
<td><img src="../../_images/mathmpl/math-b5a379f4e8.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\boxminus</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-3e25be9041.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\boxplus</span></code></td>
<td><img src="../../_images/mathmpl/math-d3219d7443.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\boxtimes</span></code></td>
<td><img src="../../_images/mathmpl/math-ef7a046183.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\bullet</span></code></td>
<td><img src="../../_images/mathmpl/math-c5baac4e57.png" /> <code class="docutils literal notranslate"><span class="pre">\bumpeq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-f0c7f8f01c.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\cap</span></code></td>
<td><img src="../../_images/mathmpl/math-5a90bc5099.png" style="position: relative; bottom: --1px"/> <code class="docutils literal notranslate"><span class="pre">\cdot</span></code></td>
<td><img src="../../_images/mathmpl/math-f9b0df773f.png" style="position: relative; bottom: -1px"/> <code class="docutils literal notranslate"><span class="pre">\circ</span></code></td>
<td><img src="../../_images/mathmpl/math-5af298e692.png" /> <code class="docutils literal notranslate"><span class="pre">\circeq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-e4d9d4c64b.png" style="position: relative; bottom: -1px"/> <code class="docutils literal notranslate"><span class="pre">\coloneq</span></code></td>
<td><img src="../../_images/mathmpl/math-b43c061111.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\cong</span></code></td>
<td><img src="../../_images/mathmpl/math-20b287ac85.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\cup</span></code></td>
<td><img src="../../_images/mathmpl/math-c0df1e9b19.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\curlyeqprec</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-995f666935.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\curlyeqsucc</span></code></td>
<td><img src="../../_images/mathmpl/math-615de138a6.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\curlyvee</span></code></td>
<td><img src="../../_images/mathmpl/math-5af1fa6042.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\curlywedge</span></code></td>
<td><img src="../../_images/mathmpl/math-9b12241d0c.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\dag</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-9e1beabce9.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\dashv</span></code></td>
<td><img src="../../_images/mathmpl/math-f0fa40854a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\ddag</span></code></td>
<td><img src="../../_images/mathmpl/math-765d4eae57.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\diamond</span></code></td>
<td><img src="../../_images/mathmpl/math-a1903b29fd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\divideontimes</span></code></td>
<td><img src="../../_images/mathmpl/math-a5b22dbdac.png" /> <code class="docutils literal notranslate"><span class="pre">\doteq</span></code></td>
<td><img src="../../_images/mathmpl/math-ff23293ae5.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\doteqdot</span></code></td>
<td><img src="../../_images/mathmpl/math-397b5fc155.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\dotplus</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-d5242ce585.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\doublebarwedge</span></code></td>
<td><img src="../../_images/mathmpl/math-a4f1a69c76.png" style="position: relative; bottom: -1px"/> <code class="docutils literal notranslate"><span class="pre">\eqcirc</span></code></td>
<td><img src="../../_images/mathmpl/math-17826fcd24.png" style="position: relative; bottom: -1px"/> <code class="docutils literal notranslate"><span class="pre">\eqcolon</span></code></td>
<td><img src="../../_images/mathmpl/math-c104febab3.png" style="position: relative; bottom: -2px"/> <code class="docutils literal notranslate"><span class="pre">\eqsim</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-45eaae26d2.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\eqslantgtr</span></code></td>
<td><img src="../../_images/mathmpl/math-c3fea548da.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\eqslantless</span></code></td>
<td><img src="../../_images/mathmpl/math-cc1340c453.png" style="position: relative; bottom: -1px"/> <code class="docutils literal notranslate"><span class="pre">\equiv</span></code></td>
<td><img src="../../_images/mathmpl/math-7965c0c1af.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\fallingdotseq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-a41c184ca6.png" style="position: relative; bottom: -0px"/> <code class="docutils literal notranslate"><span class="pre">\frown</span></code></td>
<td><img src="../../_images/mathmpl/math-0bf42a25bb.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\geq</span></code></td>
<td><img src="../../_images/mathmpl/math-9b14251f65.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\geqq</span></code></td>
<td><img src="../../_images/mathmpl/math-1fca7a951f.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\geqslant</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-f9990bc9cf.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\gg</span></code></td>
<td><img src="../../_images/mathmpl/math-a3de1e5b51.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\ggg</span></code></td>
<td><img src="../../_images/mathmpl/math-04c47dcb6e.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\gnapprox</span></code></td>
<td><img src="../../_images/mathmpl/math-a3f9f1f014.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\gneqq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-793d9cedd0.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\gnsim</span></code></td>
<td><img src="../../_images/mathmpl/math-207852189a.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\gtrapprox</span></code></td>
<td><img src="../../_images/mathmpl/math-9336896bb3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\gtrdot</span></code></td>
<td><img src="../../_images/mathmpl/math-4cd21f8ba6.png" style="position: relative; bottom: -9px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\gtreqqless</span></code></td>
<td><img src="../../_images/mathmpl/math-8e388594ad.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\gtrless</span></code></td>
<td><img src="../../_images/mathmpl/math-9d5e427aeb.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\gtrsim</span></code></td>
<td><img src="../../_images/mathmpl/math-58e3fcf6fd.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\in</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-0e049fe80b.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\intercal</span></code></td>
<td><img src="../../_images/mathmpl/math-1a503a50f2.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\leftthreetimes</span></code></td>
<td><img src="../../_images/mathmpl/math-aca311c641.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\leq</span></code></td>
<td><img src="../../_images/mathmpl/math-d87b34b699.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\leqq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-764751dad5.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\leqslant</span></code></td>
<td><img src="../../_images/mathmpl/math-b8571a3cc2.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\lessapprox</span></code></td>
<td><img src="../../_images/mathmpl/math-6cb5c3c310.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\lessdot</span></code></td>
<td><img src="../../_images/mathmpl/math-1632a38331.png" style="position: relative; bottom: -9px"/> <code class="docutils literal notranslate"><span class="pre">\lesseqgtr</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-d367d088c6.png" style="position: relative; bottom: -11px"/> <code class="docutils literal notranslate"><span class="pre">\lesseqqgtr</span></code></td>
<td><img src="../../_images/mathmpl/math-268c486057.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\lessgtr</span></code></td>
<td><img src="../../_images/mathmpl/math-b53ab799d1.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\lesssim</span></code></td>
<td><img src="../../_images/mathmpl/math-f5e02865f3.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\ll</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-2303518311.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\lll</span></code></td>
<td><img src="../../_images/mathmpl/math-c408639f33.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\lnapprox</span></code></td>
<td><img src="../../_images/mathmpl/math-38bf4cf10d.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\lneqq</span></code></td>
<td><img src="../../_images/mathmpl/math-ad67ff4a6f.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\lnsim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-f557917efd.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\ltimes</span></code></td>
<td><img src="../../_images/mathmpl/math-96c9a8ca95.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\mid</span></code></td>
<td><img src="../../_images/mathmpl/math-b5ae8c62a3.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\models</span></code></td>
<td><img src="../../_images/mathmpl/math-608c4a02ea.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\nVDash</span></code></td>
<td><img src="../../_images/mathmpl/math-4d5d5f4ffb.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\nVdash</span></code></td>
<td><img src="../../_images/mathmpl/math-8aa32761da.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\napprox</span></code></td>
<td><img src="../../_images/mathmpl/math-92306485fb.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\ncong</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-6e6c5971ad.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\ne</span></code></td>
<td><img src="../../_images/mathmpl/math-da1122f776.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\neq</span></code></td>
<td><img src="../../_images/mathmpl/math-da1122f776.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\neq</span></code></td>
<td><img src="../../_images/mathmpl/math-989088989a.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\nequiv</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-07c03ece9c.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\ngeq</span></code></td>
<td><img src="../../_images/mathmpl/math-c2c43a5762.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\ngtr</span></code></td>
<td><img src="../../_images/mathmpl/math-7e90b124a8.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\ni</span></code></td>
<td><img src="../../_images/mathmpl/math-1c2ed5670a.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\nleq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-c9136df47e.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\nless</span></code></td>
<td><img src="../../_images/mathmpl/math-4c5d76f523.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\nmid</span></code></td>
<td><img src="../../_images/mathmpl/math-9afe2d20f8.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\notin</span></code></td>
<td><img src="../../_images/mathmpl/math-e63a2108d5.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\nparallel</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-201b65e42c.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\nprec</span></code></td>
<td><img src="../../_images/mathmpl/math-37454f1e25.png" style="position: relative; bottom: -0px"/> <code class="docutils literal notranslate"><span class="pre">\nsim</span></code></td>
<td><img src="../../_images/mathmpl/math-b045970090.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\nsubset</span></code></td>
<td><img src="../../_images/mathmpl/math-e2dcef116c.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\nsubseteq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-0dc1c96f16.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\nsucc</span></code></td>
<td><img src="../../_images/mathmpl/math-0d1363d575.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\nsupset</span></code></td>
<td><img src="../../_images/mathmpl/math-8963eae853.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\nsupseteq</span></code></td>
<td><img src="../../_images/mathmpl/math-2eaa265b46.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\ntriangleleft</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-343170b287.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\ntrianglelefteq</span></code></td>
<td><img src="../../_images/mathmpl/math-813dcf0a93.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\ntriangleright</span></code></td>
<td><img src="../../_images/mathmpl/math-df6899ad3e.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\ntrianglerighteq</span></code></td>
<td><img src="../../_images/mathmpl/math-a55f718abe.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\nvDash</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-fefbb15af0.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\nvdash</span></code></td>
<td><img src="../../_images/mathmpl/math-b8348856ea.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\odot</span></code></td>
<td><img src="../../_images/mathmpl/math-497b831b05.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\ominus</span></code></td>
<td><img src="../../_images/mathmpl/math-cfcebc2ef8.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\oplus</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-6fd5eead33.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\oslash</span></code></td>
<td><img src="../../_images/mathmpl/math-3d7ac4bb5c.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\otimes</span></code></td>
<td><img src="../../_images/mathmpl/math-305e05a6ab.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\parallel</span></code></td>
<td><img src="../../_images/mathmpl/math-86ea2beb93.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\perp</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-62d5e1ef75.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\pitchfork</span></code></td>
<td><img src="../../_images/mathmpl/math-813255d42d.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\pm</span></code></td>
<td><img src="../../_images/mathmpl/math-2a54002803.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\prec</span></code></td>
<td><img src="../../_images/mathmpl/math-6f127405a3.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\precapprox</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-5686c5a93f.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\preccurlyeq</span></code></td>
<td><img src="../../_images/mathmpl/math-c6975aea0e.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\preceq</span></code></td>
<td><img src="../../_images/mathmpl/math-53e4edd44d.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\precnapprox</span></code></td>
<td><img src="../../_images/mathmpl/math-b7c281dd54.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\precnsim</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-58f182e47e.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\precsim</span></code></td>
<td><img src="../../_images/mathmpl/math-4225d47da8.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\propto</span></code></td>
<td><img src="../../_images/mathmpl/math-03cbb97a54.png" style="position: relative; bottom: -4px"/> <code class="docutils literal notranslate"><span class="pre">\rightthreetimes</span></code></td>
<td><img src="../../_images/mathmpl/math-8f609835cb.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><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 notranslate"><span class="pre">\rtimes</span></code></td>
<td><img src="../../_images/mathmpl/math-10ab63f88f.png" style="position: relative; bottom: -0px"/> <code class="docutils literal notranslate"><span class="pre">\sim</span></code></td>
<td><img src="../../_images/mathmpl/math-f5e3901a47.png" style="position: relative; bottom: -1px"/> <code class="docutils literal notranslate"><span class="pre">\simeq</span></code></td>
<td><img src="../../_images/mathmpl/math-cd5adea2d9.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\slash</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-11c6bdf228.png" style="position: relative; bottom: -0px"/> <code class="docutils literal notranslate"><span class="pre">\smile</span></code></td>
<td><img src="../../_images/mathmpl/math-2fc0f7c957.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sqcap</span></code></td>
<td><img src="../../_images/mathmpl/math-f3f9a5c2b6.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sqcup</span></code></td>
<td><img src="../../_images/mathmpl/math-32710445c4.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sqsubset</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-32710445c4.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sqsubset</span></code></td>
<td><img src="../../_images/mathmpl/math-6462f633f1.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\sqsubseteq</span></code></td>
<td><img src="../../_images/mathmpl/math-b373234f3b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sqsupset</span></code></td>
<td><img src="../../_images/mathmpl/math-b373234f3b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\sqsupset</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-301349a96f.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\sqsupseteq</span></code></td>
<td><img src="../../_images/mathmpl/math-3ea081f1d9.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\star</span></code></td>
<td><img src="../../_images/mathmpl/math-d7ee7c1348.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\subset</span></code></td>
<td><img src="../../_images/mathmpl/math-ab35a80a37.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\subseteq</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-329584d288.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\subseteqq</span></code></td>
<td><img src="../../_images/mathmpl/math-26f9e5316b.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\subsetneq</span></code></td>
<td><img src="../../_images/mathmpl/math-d6c1dc73f3.png" style="position: relative; bottom: -9px"/> <code class="docutils literal notranslate"><span class="pre">\subsetneqq</span></code></td>
<td><img src="../../_images/mathmpl/math-3b5db3b36b.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\succ</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-29a7c6603c.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\succapprox</span></code></td>
<td><img src="../../_images/mathmpl/math-764af5d0f7.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\succcurlyeq</span></code></td>
<td><img src="../../_images/mathmpl/math-f083286645.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\succeq</span></code></td>
<td><img src="../../_images/mathmpl/math-12e9272240.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\succnapprox</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-22a812f02e.png" style="position: relative; bottom: -8px"/> <code class="docutils literal notranslate"><span class="pre">\succnsim</span></code></td>
<td><img src="../../_images/mathmpl/math-f313a5f9af.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\succsim</span></code></td>
<td><img src="../../_images/mathmpl/math-7a88315c05.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\supset</span></code></td>
<td><img src="../../_images/mathmpl/math-b15f9f29ec.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\supseteq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-2b42f15859.png" style="position: relative; bottom: -7px"/> <code class="docutils literal notranslate"><span class="pre">\supseteqq</span></code></td>
<td><img src="../../_images/mathmpl/math-0ebac5d490.png" style="position: relative; bottom: -6px"/> <code class="docutils literal notranslate"><span class="pre">\supsetneq</span></code></td>
<td><img src="../../_images/mathmpl/math-7cafbba6d3.png" style="position: relative; bottom: -9px"/> <code class="docutils literal notranslate"><span class="pre">\supsetneqq</span></code></td>
<td><img src="../../_images/mathmpl/math-21e977e4ec.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\therefore</span></code></td>
</tr>
<tr class="row-odd"><td><img src="../../_images/mathmpl/math-ae7023d9db.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\times</span></code></td>
<td><img src="../../_images/mathmpl/math-f0fe2a4a9f.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\top</span></code></td>
<td><img src="../../_images/mathmpl/math-7a5bdaf004.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\triangleleft</span></code></td>
<td><img src="../../_images/mathmpl/math-3234da3142.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\trianglelefteq</span></code></td>
</tr>
<tr class="row-even"><td><img src="../../_images/mathmpl/math-5325d825f0.png" /> <code class="docutils literal notranslate"><span class="pre">\triangleq</span></code></td>
<td><img src="../../_images/mathmpl/math-61187783ee.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\triangleright</span></code></td>
<td><img src="../../_images/mathmpl/math-229058201e.png" style="position: relative; bottom: -5px"/> <code class="docutils literal notranslate"><span class="pre">\trianglerighteq</span></code></td>
<td><img src="../../_images/mathmpl/math-8c6a0f04b9.png" style="position: relative; bottom: -3px"/> <code class="docutils literal notranslate"><span class="pre">\uplus</span></code></td>
</tr>