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<div class="section" id="mathjax-tex-and-latex-support">
<span id="tex-support"></span><h1>MathJax TeX and LaTeX Support<a class="headerlink" href="#mathjax-tex-and-latex-support" title="Permalink to this headline">¶</a></h1>
<p>The support for <a class="reference internal" href="glossary.html#term-tex"><em class="xref std std-term">TeX</em></a> and <a class="reference internal" href="glossary.html#term-latex"><em class="xref std std-term">LaTeX</em></a> in MathJax consists of two
parts: the <cite>tex2jax</cite> preprocessor, and the <cite>TeX</cite> input processor. The
first of these looks for mathematics within your web page (indicated by
math delimiters like <tt class="docutils literal"><span class="pre">$$...$$</span></tt>) and marks the mathematics for later
processing by MathJax. The TeX input processor is what converts the TeX
notation into MathJax’s internal format, where one of MathJax’s output
processors then displays it in the web page.</p>
<p>The <cite>tex2jax</cite> preprocessor can be configured to look for whatever
markers you want to use for your math delimiters. See the
<a class="reference internal" href="options/tex2jax.html#configure-tex2jax"><em>tex2jax configuration options</em></a> section for
details on how to customize the action of <cite>tex2jax</cite>.</p>
<p>The TeX input processor handles conversion of your mathematical
notation into MathJax’s internal format (which is essentially MathML),
and so acts as a TeX to MathML converter. The TeX input processor has
few configuration options (see the <a class="reference internal" href="options/TeX.html#configure-tex"><em>TeX options</em></a> section for details), but it can also be customized
through the use of extensions that define additional functionality
(see the <a class="reference internal" href="#tex-extensions"><em>TeX and LaTeX extensions</em></a> below).</p>
<p>Note that the TeX input processor implements <strong>only</strong> the math-mode
macros of TeX and LaTeX, not the text-mode macros. MathJax expects
that you will use standard HTML tags to handle formatting the text of
your page; it only handles the mathematics. So, for example, MathJax
does not implement <tt class="docutils literal"><span class="pre">\emph</span></tt> or
<tt class="docutils literal"><span class="pre">\begin{enumerate}...\end{enumerate}</span></tt> or other text-mode macros or
environments. You must use HTML to handle such formatting tasks. If
you need a LaTeX-to-HTML converter, you should consider <a class="reference external" href="http://www.google.com/search?q=latex+to+html+converter">other options</a>.</p>
<div class="section" id="tex-and-latex-math-delimiters">
<h2>TeX and LaTeX math delimiters<a class="headerlink" href="#tex-and-latex-math-delimiters" title="Permalink to this headline">¶</a></h2>
<p>By default, the <cite>tex2jax</cite> preprocesor defines the LaTeX math delimiters,
which are <tt class="docutils literal"><span class="pre">\(...\)</span></tt> for in-line math, and <tt class="docutils literal"><span class="pre">\[...\]</span></tt> for displayed
equations. It also defines the TeX delimiters <tt class="docutils literal"><span class="pre">$$...$$</span></tt> for displayed
equations, but it does <strong>not</strong> define <tt class="docutils literal"><span class="pre">$...$</span></tt> as in-line math
delimiters. That is because dollar signs appear too often in
non-mathematical settings, which could cause some text to be treated
as mathematics unexpectedly. For example, with single-dollar
delimiters, ”... the cost is $2.50 for the first one, and $2.00 for
each additional one ...” would cause the phrase “2.50 for the first
one, and” to be treated as mathematics since it falls between dollar
signs. For this reason, if you want to use single-dollars for in-line
math mode, you must enable that explicitly in your configuration:</p>
<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">MathJax</span><span class="p">.</span><span class="nx">Hub</span><span class="p">.</span><span class="nx">Config</span><span class="p">({</span>
<span class="nx">tex2jax</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">inlineMath</span><span class="o">:</span> <span class="p">[[</span><span class="s1">'$'</span><span class="p">,</span><span class="s1">'$'</span><span class="p">],</span> <span class="p">[</span><span class="s1">'\\('</span><span class="p">,</span><span class="s1">'\\)'</span><span class="p">]],</span>
<span class="nx">processEscapes</span><span class="o">:</span> <span class="kc">true</span>
<span class="p">}</span>
<span class="p">});</span>
</pre></div>
</div>
<p>Note that if you do this, you may want to also set <tt class="docutils literal"><span class="pre">processEscapes</span></tt> to
<tt class="docutils literal"><span class="pre">true</span></tt>, as in the example above, so that you can use <tt class="docutils literal"><span class="pre">\$</span></tt> to prevent a
dollar sign from being treated as a math delimiter within the text of your
web page. (Note that within TeX mathematics, <tt class="docutils literal"><span class="pre">\$</span></tt> always has this
meaning; <tt class="docutils literal"><span class="pre">processEscapes</span></tt> only affects the treatment of the <em>opening</em>
math delimiter.)</p>
<p>See the <tt class="docutils literal"><span class="pre">config/default.js</span></tt> file, or the <a class="reference internal" href="options/tex2jax.html#configure-tex2jax"><em>tex2jax configuration
options</em></a> page, for additional configuration
parameters that you can specify for the <cite>tex2jax</cite> preprocessor,
which is the component of MathJax that identifies TeX notation within
the page).</p>
</div>
<div class="section" id="tex-and-latex-in-html-documents">
<h2>TeX and LaTeX in HTML documents<a class="headerlink" href="#tex-and-latex-in-html-documents" title="Permalink to this headline">¶</a></h2>
<p>Keep in mind that your mathematics is part of an HTML document, so you
need to be aware of the special characters used by HTML as part of its
markup. There cannot be HTML tags within the math delimiters (other
than <tt class="docutils literal"><span class="pre"><BR></span></tt>) as TeX-formatted math does not include HTML tags.
Also, since the mathematics is initially given as text on the page,
you need to be careful that your mathematics doesn’t look like HTML
tags to the browser (which parses the page before MathJax gets to see
it). In particular, that means that you have to be careful about
things like less-than and greater-than signs (<tt class="docutils literal"><span class="pre"><``and</span> <span class="pre">``></span></tt>), and
ampersands (<tt class="docutils literal"><span class="pre">&</span></tt>), which have special meaning to the browsers. For
example,</p>
<div class="highlight-latex"><div class="highlight"><pre>... when <span class="s">$</span><span class="nb">x<y</span><span class="s">$</span> we have ...
</pre></div>
</div>
<p>will cause a problem, because the brower will think <tt class="docutils literal"><span class="pre"><y</span></tt> is the
beginning of a tag named <tt class="docutils literal"><span class="pre">y</span></tt> (even though there is no such tag in
HTML). When this happens, the browser will think the tag continues up
to the next <tt class="docutils literal"><span class="pre">></span></tt> in the document (typically the end of the next
actual tag in the HTML file), and you may notice that you are missing
part of the text of the document. In the example above, the `` we
have ...`` will not be displayed because the browser thinks it is
part of the tag starting at <tt class="docutils literal"><span class="pre"><y</span></tt>. This is one indication you can
use to spot this prooblem; it is a common error and should be avoided.</p>
<p>Usually, it is sufficient to simply put spaces around these symbols to
cause the browser to avoid them, so</p>
<div class="highlight-latex"><div class="highlight"><pre>... when <span class="s">$</span><span class="nb">x < y</span><span class="s">$</span> we have ...
</pre></div>
</div>
<p>should work. Alternatively, you can use the HTML entities <tt class="docutils literal"><span class="pre">&lt;</span></tt>,
<tt class="docutils literal"><span class="pre">&gt;</span></tt> and <tt class="docutils literal"><span class="pre">&amp;</span></tt> to encode these characters so that the browser
will not interpret them, but MathJax will. E.g.,</p>
<div class="highlight-latex"><div class="highlight"><pre>... when <span class="s">$</span><span class="nb">x &lt; y</span><span class="s">$</span> we have ...
</pre></div>
</div>
<p>Finally, there are <tt class="docutils literal"><span class="pre">\lt</span></tt> and <tt class="docutils literal"><span class="pre">\gt</span></tt> macros defined to make it
easier to enter <tt class="docutils literal"><span class="pre"><</span></tt> and <tt class="docutils literal"><span class="pre">></span></tt> using TeX-like syntax:</p>
<div class="highlight-latex"><div class="highlight"><pre>... when <span class="s">$</span><span class="nb">x </span><span class="nv">\lt</span><span class="nb"> y</span><span class="s">$</span> we have ...
</pre></div>
</div>
<p>Keep in mind that the browser interprets your text before MathJax
does.</p>
</div>
<div class="section" id="tex-and-latex-extensions">
<span id="tex-extensions"></span><h2>TeX and LaTeX extensions<a class="headerlink" href="#tex-and-latex-extensions" title="Permalink to this headline">¶</a></h2>
<p>While MathJax includes nearly all of the Plain TeX math macros, and
many of the LaTeX macros and environments, not everything is
implemented in the core TeX input processor. Some less-used commands
are defined in extensions to the TeX processor. MathJax will load
some extensions automatically when you first use the commands they
implement (for example, the <tt class="docutils literal"><span class="pre">\def</span></tt> and <tt class="docutils literal"><span class="pre">\newcommand</span></tt> macros are
implemented in the <tt class="docutils literal"><span class="pre">newcommand.js</span></tt> extension, but MathJax loads
this extension itself when you use those macros). Not all extensions
are set up to load automatically, however, so you may need to request
some extensions explicitly yourself.</p>
<p>To enable any of the TeX extensions, simply add the appropriate string
(e.g., <tt class="docutils literal"><span class="pre">"AMSmath.js"</span></tt>) to the <cite>extensions</cite> array in the <tt class="docutils literal"><span class="pre">TeX</span></tt> block
of your configuration. If you use one of the combined configuration files,
like <tt class="docutils literal"><span class="pre">TeX-AMS_HTML</span></tt>, this will already include several of the extensions
automatically, but you can include others using a mathjax configuration
script prior to loading MathJax. For example</p>
<div class="highlight-html"><div class="highlight"><pre><span class="nt"><script </span><span class="na">type=</span><span class="s">"text/x-mathjax-config"</span><span class="nt">></span>
<span class="nx">MathJax</span><span class="p">.</span><span class="nx">Hub</span><span class="p">.</span><span class="nx">Config</span><span class="p">({</span> <span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span> <span class="nx">extensions</span><span class="o">:</span> <span class="p">[</span><span class="s2">"autobold.js"</span><span class="p">]</span> <span class="p">}});</span>
<span class="nt"></script></span>
<span class="nt"><script </span><span class="na">type=</span><span class="s">"text/javascript"</span>
<span class="na">src=</span><span class="s">"http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML"</span><span class="nt">></span>
<span class="nt"></script></span>
</pre></div>
</div>
<p>will load the <cite>autobold</cite> TeX extension in addition to those already
included in the <tt class="docutils literal"><span class="pre">TeX-AMS_HTML</span></tt> configuration file.</p>
<p>The main extensions are described below.</p>
<div class="section" id="amsmath-and-amssymbols">
<h3>AMSmath and AMSsymbols<a class="headerlink" href="#amsmath-and-amssymbols" title="Permalink to this headline">¶</a></h3>
<p>The <cite>AMSmath</cite> extension implements AMS math environments and macros, and
the <cite>AMSsymbols</cite> extension implements macros for accessing the AMS symbol
fonts. These are already included in the combined configuration files that
load the TeX input processor. To use these extensions in your own
configurations, add them to the <cite>extensions</cite> array in the TeX block.</p>
<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">extensions</span><span class="o">:</span> <span class="p">[</span><span class="s2">"AMSmath.js"</span><span class="p">,</span> <span class="s2">"AMSsymbols.js"</span><span class="p">,</span> <span class="p">...]</span>
<span class="p">}</span>
</pre></div>
</div>
<p>See the list of control sequences at the end of this document for details
about what commands are implemented in these extensions.</p>
<p>If you are not using one of the combined configuration files, the <cite>AMSmath</cite>
extension will be loaded automatically when you first use one of the math
environments it defines, but you will have to load it explicitly if you
want to use the other macros that it defines. The <cite>AMSsymbols</cite> extension
is not loaded automatically, so you must include it explicitly if you want
to use the macros it defines.</p>
</div>
<div class="section" id="autobold">
<h3>Autobold<a class="headerlink" href="#autobold" title="Permalink to this headline">¶</a></h3>
<p>The <cite>autobold</cite> extension adds <tt class="docutils literal"><span class="pre">\boldsymbol{...}</span></tt> around mathematics that
appears in a section of an HTML page that is in bold.</p>
<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">extensions</span><span class="o">:</span> <span class="p">[</span><span class="s2">"autobold.js"</span><span class="p">]</span>
<span class="p">}</span>
</pre></div>
</div>
<p>This extension is <strong>not</strong> loaded by the combined configuration files.</p>
</div>
<div class="section" id="noerrors">
<h3>noErrors<a class="headerlink" href="#noerrors" title="Permalink to this headline">¶</a></h3>
<p>The <cite>noErrors</cite> extension prevents TeX error messages from being
displayed and shows the original TeX code instead. You can configure
whether the dollar signs are shown or not for in-line math, and
whether to put all the TeX on one line or use multiple lines (if the
original text contained line breaks).</p>
<p>This extension is loaded by all the combined configuration files that
include the TeX input processor. To enable the <cite>noErrors</cite> extension in
your own configuration, or to modify its parameters, add something like the
following to your <tt class="xref py py-meth docutils literal"><span class="pre">MathJax.Hub.Config()</span></tt> call:</p>
<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">extensions</span><span class="o">:</span> <span class="p">[</span><span class="s2">"noErrors.js"</span><span class="p">],</span>
<span class="nx">noErrors</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">inlineDelimiters</span><span class="o">:</span> <span class="p">[</span><span class="s2">""</span><span class="p">,</span><span class="s2">""</span><span class="p">],</span> <span class="c1">// or ["$","$"] or ["\\(","\\)"]</span>
<span class="nx">multiLine</span><span class="o">:</span> <span class="kc">true</span><span class="p">,</span> <span class="c1">// false for TeX on all one line</span>
<span class="nx">style</span><span class="o">:</span> <span class="p">{</span>
<span class="s2">"font-family"</span><span class="o">:</span> <span class="s2">"serif"</span><span class="p">,</span>
<span class="s2">"font-size"</span><span class="o">:</span> <span class="s2">"80%"</span><span class="p">,</span>
<span class="s2">"color"</span><span class="o">:</span> <span class="s2">"black"</span><span class="p">,</span>
<span class="s2">"border"</span><span class="o">:</span> <span class="s2">"1px solid"</span>
<span class="c1">// add any additional CSS styles that you want</span>
<span class="c1">// (be sure there is no extra comma at the end of the last item)</span>
<span class="p">}</span>
<span class="p">}</span>
<span class="p">}</span>
</pre></div>
</div>
<p>Display-style math is always shown in multi-line format, and without
delimiters, as it will already be set off in its own centered
paragraph, like standard display mathematics.</p>
<p>The default settings place the invalid TeX in a multi-line box with a
black border. If you want it to look as though the TeX is just part of
the paragraph, use</p>
<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">noErrors</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">inlineDelimiters</span><span class="o">:</span> <span class="p">[</span><span class="s2">"$"</span><span class="p">,</span><span class="s2">"$"</span><span class="p">],</span> <span class="c1">// or ["",""] or ["\\(","\\)"]</span>
<span class="nx">multiLine</span><span class="o">:</span> <span class="kc">false</span><span class="p">,</span>
<span class="nx">style</span><span class="o">:</span> <span class="p">{</span>
<span class="s2">"font-size"</span><span class="o">:</span> <span class="s2">"normal"</span><span class="p">,</span>
<span class="s2">"border"</span><span class="o">:</span> <span class="s2">""</span>
<span class="p">}</span>
<span class="p">}</span>
<span class="p">}</span>
</pre></div>
</div>
<p>You may also wish to set the font family, as the default is “serif”</p>
</div>
<div class="section" id="noundefined">
<h3>noUndefined<a class="headerlink" href="#noundefined" title="Permalink to this headline">¶</a></h3>
<p>The <cite>noUndefined</cite> extension causes undefined control sequences to be
shown as their macro names rather than generating error messages. So
<tt class="docutils literal"><span class="pre">$X_{\xxx}$</span></tt> would display as an “X” with a subscript consiting of the
text <tt class="docutils literal"><span class="pre">\xxx</span></tt> in red.</p>
<p>This extension is loaded by all the combined configuration files that
include the TeX input processor. To enable the <cite>noUndefined</cite> extension
in your own configuration, or to modify its parameters, add something like
the following ro your <tt class="xref py py-meth docutils literal"><span class="pre">MathJax.Hub.Config()</span></tt> call:</p>
<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">extensions</span><span class="o">:</span> <span class="p">[</span><span class="s2">"noUndefined.js"</span><span class="p">],</span>
<span class="nx">noUndefined</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">attributes</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">mathcolor</span><span class="o">:</span> <span class="s2">"red"</span><span class="p">,</span>
<span class="nx">mathbackground</span><span class="o">:</span> <span class="s2">"#FFEEEE"</span><span class="p">,</span>
<span class="nx">mathsize</span><span class="o">:</span> <span class="s2">"90%"</span>
<span class="p">}</span>
<span class="p">}</span>
<span class="p">}</span>
</pre></div>
</div>
<p>The <tt class="docutils literal"><span class="pre">attributes</span></tt> setting specifies attributes to apply to the
<tt class="docutils literal"><span class="pre">mtext</span></tt> element that encodes the name of the undefined macro. The
default values set <tt class="docutils literal"><span class="pre">mathcolor</span></tt> to <tt class="docutils literal"><span class="pre">"red"</span></tt>, but do not set any
other attributes. This example sets the background to a light pink,
and reduces the font size slightly.</p>
</div>
<div class="section" id="unicode-support">
<h3>Unicode support<a class="headerlink" href="#unicode-support" title="Permalink to this headline">¶</a></h3>
<p>The <cite>unicode</cite> extension implements a <tt class="docutils literal"><span class="pre">\unicode{}</span></tt> extension to TeX
that allows arbitrary unicode code points to be entered in your
mathematics. You can specify the height and depth of the character
(the width is determined by the browser), and the default font from
which to take the character.</p>
<p>Examples:</p>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\unicode</span><span class="nb">{</span>65<span class="nb">}</span> <span class="c">% the character 'A'</span>
<span class="k">\unicode</span><span class="nb">{</span>x41<span class="nb">}</span> <span class="c">% the character 'A'</span>
<span class="k">\unicode</span><span class="na">[.55,0.05]</span><span class="nb">{</span>x22D6<span class="nb">}</span> <span class="c">% less-than with dot, with height .55em and depth 0.05em</span>
<span class="k">\unicode</span><span class="na">[.55,0.05][Geramond]</span><span class="nb">{</span>x22D6<span class="nb">}</span> <span class="c">% same taken from Geramond font</span>
<span class="k">\unicode</span><span class="na">[Garamond]</span><span class="nb">{</span>x22D6<span class="nb">}</span> <span class="c">% same, but with default height, depth of .8em,.2em</span>
</pre></div>
</div>
<p>Once a size and font are provided for a given unicode point, they need
not be specified again in subsequent <tt class="docutils literal"><span class="pre">\unicode{}</span></tt> calls for that
character.</p>
<p>The result of <tt class="docutils literal"><span class="pre">\unicode{...}</span></tt> will have TeX class <cite>ORD</cite> (i.e., it
will act like a variable). Use <tt class="docutils literal"><span class="pre">\mathbin{...}</span></tt>, <tt class="docutils literal"><span class="pre">\mathrel{...}</span></tt>,
etc., to specify a different class.</p>
<p>Note that a font list can be given in the <tt class="docutils literal"><span class="pre">\unicode{}</span></tt> macro, but
Internet Explorer has a buggy implementation of the <tt class="docutils literal"><span class="pre">font-family</span></tt>
CSS attribute where it only looks in the first font in the list that
is actually installed on the system, and if the required glyph is not
in that font, it does not look at later fonts, but goes directly to
the default font as set in the <cite>Internet-Options/Font</cite> panel. For
this reason, the default font list for the <tt class="docutils literal"><span class="pre">\unicode{}</span></tt> macro is
<tt class="docutils literal"><span class="pre">STIXGeneral,</span> <span class="pre">'Arial</span> <span class="pre">Unicode</span> <span class="pre">MS'</span></tt>, so if the user has <a class="reference internal" href="glossary.html#term-stix"><em class="xref std std-term">STIX</em></a>
fonts, the symbol will be taken from that (almost all the symbols are
in <cite>STIXGeneral</cite>), otherwise MathJax tries <cite>Arial Unicode MS</cite>.</p>
<p>The <cite>unicode</cite> extension is loaded automatically when you first use the
<tt class="docutils literal"><span class="pre">\unicode{}</span></tt> macro, so you do not need to add it to the <cite>extensions</cite>
array. You can configure the extension as follows:</p>
<div class="highlight-javascript"><div class="highlight"><pre><span class="nx">TeX</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">unicode</span><span class="o">:</span> <span class="p">{</span>
<span class="nx">fonts</span><span class="o">:</span> <span class="s2">"STIXGeneral, 'Arial Unicode MS'"</span>
<span class="p">}</span>
<span class="p">}</span>
</pre></div>
</div>
</div>
</div>
<div class="section" id="supported-latex-commands">
<span id="tex-commands"></span><h2>Supported LaTeX commands<a class="headerlink" href="#supported-latex-commands" title="Permalink to this headline">¶</a></h2>
<p>This is a long list of the TeX macros supported by MathJax. If the
macro is defined in an extension, the name of the extension follows
the macro name. If the extension is in brackets, the extension will
be loaded automatically when the macro or environment is first used.</p>
<div class="section" id="symbols">
<h3>Symbols<a class="headerlink" href="#symbols" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre>#
<span class="c">%</span>
<span class="nb">&</span>
<span class="nb">^</span>
<span class="nb">_</span>
<span class="nb">{</span>
<span class="nb">}</span>
~
<span class="k">\ </span> (backslash-space)
<span class="k">\!</span>
<span class="k">\#</span>
<span class="k">\$</span>
<span class="k">\%</span>
<span class="k">\&</span>
<span class="k">\,</span>
<span class="k">\:</span>
<span class="k">\;</span>
<span class="k">\></span>
<span class="k">\\</span>
<span class="k">\_</span>
<span class="k">\{</span>
<span class="k">\|</span>
<span class="k">\}</span>
</pre></div>
</div>
</div>
<div class="section" id="a">
<h3>A<a class="headerlink" href="#a" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\above</span>
<span class="k">\abovewithdelims</span>
<span class="k">\acute</span>
<span class="k">\aleph</span>
<span class="k">\alpha</span>
<span class="k">\amalg</span>
<span class="k">\And</span>
<span class="k">\angle</span>
<span class="k">\approx</span>
<span class="k">\approxeq</span> AMSsymbols
<span class="k">\arccos</span>
<span class="k">\arcsin</span>
<span class="k">\arctan</span>
<span class="k">\arg</span>
<span class="k">\array</span>
<span class="k">\Arrowvert</span>
<span class="k">\arrowvert</span>
<span class="k">\ast</span>
<span class="k">\asymp</span>
<span class="k">\atop</span>
<span class="k">\atopwithdelims</span>
</pre></div>
</div>
</div>
<div class="section" id="b">
<h3>B<a class="headerlink" href="#b" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\backepsilon</span> AMSsymbols
<span class="k">\backprime</span> AMSsymbols
<span class="k">\backsim</span> AMSsymbols
<span class="k">\backsimeq</span> AMSsymbols
<span class="k">\backslash</span>
<span class="k">\backslash</span>
<span class="k">\bar</span>
<span class="k">\barwedge</span> AMSsymbols
<span class="k">\Bbb</span>
<span class="k">\Bbbk</span> AMSsymbols
<span class="k">\because</span> AMSsymbols
<span class="k">\begin</span>
<span class="k">\beta</span>
<span class="k">\beth</span> AMSsymbols
<span class="k">\between</span> AMSsymbols
<span class="k">\bf</span>
<span class="k">\Big</span>
<span class="k">\big</span>
<span class="k">\bigcap</span>
<span class="k">\bigcirc</span>
<span class="k">\bigcup</span>
<span class="k">\Bigg</span>
<span class="k">\bigg</span>
<span class="k">\Biggl</span>
<span class="k">\biggl</span>
<span class="k">\Biggm</span>
<span class="k">\biggm</span>
<span class="k">\Biggr</span>
<span class="k">\biggr</span>
<span class="k">\Bigl</span>
<span class="k">\bigl</span>
<span class="k">\Bigm</span>
<span class="k">\bigm</span>
<span class="k">\bigodot</span>
<span class="k">\bigoplus</span>
<span class="k">\bigotimes</span>
<span class="k">\Bigr</span>
<span class="k">\bigr</span>
<span class="k">\bigsqcup</span>
<span class="k">\bigstar</span> AMSsymbols
<span class="k">\bigtriangledown</span>
<span class="k">\bigtriangleup</span>
<span class="k">\biguplus</span>
<span class="k">\bigvee</span>
<span class="k">\bigwedge</span>
<span class="k">\binom</span> AMSmath
<span class="k">\blacklozenge</span> AMSsymbols
<span class="k">\blacksquare</span> AMSsymbols
<span class="k">\blacktriangle</span> AMSsymbols
<span class="k">\blacktriangledown</span> AMSsymbols
<span class="k">\blacktriangleleft</span> AMSsymbols
<span class="k">\blacktriangleright</span> AMSsymbols
<span class="k">\bmod</span>
<span class="k">\boldsymbol</span> [boldsymbol]
<span class="k">\bot</span>
<span class="k">\bowtie</span>
<span class="k">\Box</span> AMSsymbols
<span class="k">\boxdot</span> AMSsymbols
<span class="k">\boxed</span> AMSmath
<span class="k">\boxminus</span> AMSsymbols
<span class="k">\boxplus</span> AMSsymbols
<span class="k">\boxtimes</span> AMSsymbols
<span class="k">\brace</span>
<span class="k">\bracevert</span>
<span class="k">\brack</span>
<span class="k">\breve</span>
<span class="k">\buildrel</span>
<span class="k">\bullet</span>
<span class="k">\Bumpeq</span> AMSsymbols
<span class="k">\bumpeq</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="c">
<h3>C<a class="headerlink" href="#c" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\cal</span>
<span class="k">\cap</span>
<span class="k">\Cap</span> AMSsymbols
<span class="k">\cases</span>
<span class="k">\cdot</span>
<span class="k">\cdotp</span>
<span class="k">\cdots</span>
<span class="k">\centerdot</span> AMSsymbols
<span class="k">\cfrac</span> AMSmath
<span class="k">\check</span>
<span class="k">\checkmark</span> AMSsymbols
<span class="k">\chi</span>
<span class="k">\choose</span>
<span class="k">\circ</span>
<span class="k">\circeq</span> AMSsymbols
<span class="k">\circlearrowleft</span> AMSsymbols
<span class="k">\circlearrowright</span> AMSsymbols
<span class="k">\circledast</span> AMSsymbols
<span class="k">\circledcirc</span> AMSsymbols
<span class="k">\circleddash</span> AMSsymbols
<span class="k">\circledR</span> AMSsymbols
<span class="k">\circledS</span> AMSsymbols
<span class="k">\class</span> [HTML] non-standard
<span class="k">\clubsuit</span>
<span class="k">\colon</span>
<span class="k">\color</span>
<span class="k">\complement</span> AMSsymbols
<span class="k">\cong</span>
<span class="k">\coprod</span>
<span class="k">\cos</span>
<span class="k">\cosh</span>
<span class="k">\cot</span>
<span class="k">\coth</span>
<span class="k">\cr</span>
<span class="k">\csc</span>
<span class="k">\cssId</span> [HTML] non-standard
<span class="k">\cup</span>
<span class="k">\Cup</span> AMSsymbols
<span class="k">\curlyeqprec</span> AMSsymbols
<span class="k">\curlyeqsucc</span> AMSsymbols
<span class="k">\curlyvee</span> AMSsymbols
<span class="k">\curlywedge</span> AMSsymbols
<span class="k">\curvearrowleft</span> AMSsymbols
<span class="k">\curvearrowright</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="d">
<h3>D<a class="headerlink" href="#d" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\dagger</span>
<span class="k">\daleth</span> AMSsymbols
<span class="k">\dashleftarrow</span> AMSsymbols
<span class="k">\dashrightarrow</span> AMSsymbols
<span class="k">\dashv</span>
<span class="k">\dbinom</span> AMSmath
<span class="k">\ddagger</span>
<span class="k">\ddddot</span> AMSmath
<span class="k">\dddot</span> AMSmath
<span class="k">\ddot</span>
<span class="k">\ddots</span>
<span class="k">\DeclareMathOperator</span> AMSmath
<span class="k">\def</span> [newcommand]
<span class="k">\deg</span>
<span class="k">\Delta</span>
<span class="k">\delta</span>
<span class="k">\det</span>
<span class="k">\dfrac</span> AMSmath
<span class="k">\diagdown</span> AMSsymbols
<span class="k">\diagup</span> AMSsymbols
<span class="k">\diamond</span>
<span class="k">\Diamond</span> AMSsymbols
<span class="k">\diamondsuit</span>
<span class="k">\digamma</span> AMSsymbols
<span class="k">\dim</span>
<span class="k">\displaylines</span>
<span class="k">\displaystyle</span>
<span class="k">\div</span>
<span class="k">\divideontimes</span> AMSsymbols
<span class="k">\dot</span>
<span class="k">\doteq</span>
<span class="k">\Doteq</span> AMSsymbols
<span class="k">\doteqdot</span> AMSsymbols
<span class="k">\dotplus</span> AMSsymbols
<span class="k">\dots</span>
<span class="k">\dotsb</span>
<span class="k">\dotsc</span>
<span class="k">\dotsi</span>
<span class="k">\dotsm</span>
<span class="k">\dotso</span>
<span class="k">\doublebarwedge</span> AMSsymbols
<span class="k">\doublecap</span> AMSsymbols
<span class="k">\doublecup</span> AMSsymbols
<span class="k">\Downarrow</span>
<span class="k">\downarrow</span>
<span class="k">\downdownarrows</span> AMSsymbols
<span class="k">\downharpoonleft</span> AMSsymbols
<span class="k">\downharpoonright</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="e">
<h3>E<a class="headerlink" href="#e" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\ell</span>
<span class="k">\emptyset</span>
<span class="k">\end</span>
<span class="k">\enspace</span>
<span class="k">\epsilon</span>
<span class="k">\eqalign</span>
<span class="k">\eqalignno</span>
<span class="k">\eqcirc</span> AMSsymbols
<span class="k">\eqsim</span> AMSsymbols
<span class="k">\eqslantgtr</span> AMSsymbols
<span class="k">\eqslantless</span> AMSsymbols
<span class="k">\equiv</span>
<span class="k">\eta</span>
<span class="k">\eth</span> AMSsymbols
<span class="k">\exists</span>
<span class="k">\exp</span>
</pre></div>
</div>
</div>
<div class="section" id="f">
<h3>F<a class="headerlink" href="#f" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\fallingdotseq</span> AMSsymbols
<span class="k">\fbox</span>
<span class="k">\Finv</span> AMSsymbols
<span class="k">\flat</span>
<span class="k">\forall</span>
<span class="k">\frac</span>
<span class="k">\frac</span> AMSmath
<span class="k">\frak</span>
<span class="k">\frown</span>
</pre></div>
</div>
</div>
<div class="section" id="g">
<h3>G<a class="headerlink" href="#g" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\Game</span> AMSsymbols
<span class="k">\Gamma</span>
<span class="k">\gamma</span>
<span class="k">\gcd</span>
<span class="k">\ge</span>
<span class="k">\genfrac</span> AMSmath
<span class="k">\geq</span>
<span class="k">\geqq</span> AMSsymbols
<span class="k">\geqslant</span> AMSsymbols
<span class="k">\gets</span>
<span class="k">\gg</span>
<span class="k">\ggg</span> AMSsymbols
<span class="k">\gggtr</span> AMSsymbols
<span class="k">\gimel</span> AMSsymbols
<span class="k">\gnapprox</span> AMSsymbols
<span class="k">\gneq</span> AMSsymbols
<span class="k">\gneqq</span> AMSsymbols
<span class="k">\gnsim</span> AMSsymbols
<span class="k">\grave</span>
<span class="k">\gt</span>
<span class="k">\gt</span>
<span class="k">\gtrapprox</span> AMSsymbols
<span class="k">\gtrdot</span> AMSsymbols
<span class="k">\gtreqless</span> AMSsymbols
<span class="k">\gtreqqless</span> AMSsymbols
<span class="k">\gtrless</span> AMSsymbols
<span class="k">\gtrsim</span> AMSsymbols
<span class="k">\gvertneqq</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="h">
<h3>H<a class="headerlink" href="#h" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\hat</span>
<span class="k">\hbar</span>
<span class="k">\hbox</span>
<span class="k">\hdashline</span>
<span class="k">\heartsuit</span>
<span class="k">\hline</span>
<span class="k">\hom</span>
<span class="k">\hookleftarrow</span>
<span class="k">\hookrightarrow</span>
<span class="k">\hphantom</span>
<span class="k">\href</span> [HTML]
<span class="k">\hskip</span>
<span class="k">\hslash</span> AMSsymbols
<span class="k">\hspace</span>
<span class="k">\Huge</span>
<span class="k">\huge</span>
<span class="k">\idotsint</span> AMSmath
</pre></div>
</div>
</div>
<div class="section" id="i">
<h3>I<a class="headerlink" href="#i" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\iff</span>
<span class="k">\iiiint</span> AMSmath
<span class="k">\iiint</span>
<span class="k">\iint</span>
<span class="k">\Im</span>
<span class="k">\imath</span>
<span class="k">\impliedby</span> AMSsymbols
<span class="k">\implies</span> AMSsymbols
<span class="k">\in</span>
<span class="k">\inf</span>
<span class="k">\infty</span>
<span class="k">\injlim</span> AMSmath
<span class="k">\int</span>
<span class="k">\intercal</span> AMSsymbols
<span class="k">\intop</span>
<span class="k">\iota</span>
<span class="k">\it</span>
</pre></div>
</div>
</div>
<div class="section" id="j">
<h3>J<a class="headerlink" href="#j" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\jmath</span>
<span class="k">\Join</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="k">
<h3>K<a class="headerlink" href="#k" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\kappa</span>
<span class="k">\ker</span>
<span class="k">\kern</span>
</pre></div>
</div>
</div>
<div class="section" id="l">
<h3>L<a class="headerlink" href="#l" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\Lambda</span>
<span class="k">\lambda</span>
<span class="k">\land</span>
<span class="k">\langle</span>
<span class="k">\LARGE</span>
<span class="k">\Large</span>
<span class="k">\large</span>
<span class="k">\LaTeX</span>
<span class="k">\lbrace</span>
<span class="k">\lbrack</span>
<span class="k">\lceil</span>
<span class="k">\ldotp</span>
<span class="k">\ldots</span>
<span class="k">\le</span>
<span class="k">\leadsto</span> AMSsymbols
<span class="k">\left</span>
<span class="k">\Leftarrow</span>
<span class="k">\leftarrow</span>
<span class="k">\leftarrowtail</span> AMSsymbols
<span class="k">\leftharpoondown</span>
<span class="k">\leftharpoonup</span>
<span class="k">\leftleftarrows</span> AMSsymbols
<span class="k">\Leftrightarrow</span>
<span class="k">\leftrightarrow</span>
<span class="k">\leftrightarrows</span> AMSsymbols
<span class="k">\leftrightharpoons</span> AMSsymbols
<span class="k">\leftrightsquigarrow</span> AMSsymbols
<span class="k">\leftroot</span>
<span class="k">\leftthreetimes</span> AMSsymbols
<span class="k">\leq</span>
<span class="k">\leqalignno</span>
<span class="k">\leqq</span> AMSsymbols
<span class="k">\leqslant</span> AMSsymbols
<span class="k">\lessapprox</span> AMSsymbols
<span class="k">\lessdot</span> AMSsymbols
<span class="k">\lesseqgtr</span> AMSsymbols
<span class="k">\lesseqqgtr</span> AMSsymbols
<span class="k">\lessgtr</span> AMSsymbols
<span class="k">\lesssim</span> AMSsymbols
<span class="k">\lfloor</span>
<span class="k">\lg</span>
<span class="k">\lgroup</span>
<span class="k">\lhd</span> AMSsymbols
<span class="k">\lim</span>
<span class="k">\liminf</span>
<span class="k">\limits</span>
<span class="k">\limsup</span>
<span class="k">\ll</span>
<span class="k">\llap</span>
<span class="k">\llcorner</span> AMSsymbols
<span class="k">\Lleftarrow</span> AMSsymbols
<span class="k">\lll</span> AMSsymbols
<span class="k">\llless</span> AMSsymbols
<span class="k">\lmoustache</span>
<span class="k">\ln</span>
<span class="k">\lnapprox</span> AMSsymbols
<span class="k">\lneq</span> AMSsymbols
<span class="k">\lneqq</span> AMSsymbols
<span class="k">\lnot</span>
<span class="k">\lnsim</span> AMSsymbols
<span class="k">\log</span>
<span class="k">\Longleftarrow</span>
<span class="k">\longleftarrow</span>
<span class="k">\Longleftrightarrow</span>
<span class="k">\longleftrightarrow</span>
<span class="k">\longmapsto</span>
<span class="k">\Longrightarrow</span>
<span class="k">\longrightarrow</span>
<span class="k">\looparrowleft</span> AMSsymbols
<span class="k">\looparrowright</span> AMSsymbols
<span class="k">\lor</span>
<span class="k">\lower</span>
<span class="k">\lozenge</span> AMSsymbols
<span class="k">\lrcorner</span> AMSsymbols
<span class="k">\Lsh</span> AMSsymbols
<span class="k">\lt</span>
<span class="k">\lt</span>
<span class="k">\ltimes</span> AMSsymbols
<span class="k">\lVert</span> AMSmath
<span class="k">\lvert</span> AMSmath
<span class="k">\lvertneqq</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="m">
<h3>M<a class="headerlink" href="#m" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\maltese</span> AMSsymbols
<span class="k">\mapsto</span>
<span class="k">\mathbb</span>
<span class="k">\mathbf</span>
<span class="k">\mathbin</span>
<span class="k">\mathcal</span>
<span class="k">\mathchoice</span> [mathchoice]
<span class="k">\mathclose</span>
<span class="k">\mathfrak</span>
<span class="k">\mathinner</span>
<span class="k">\mathit</span>
<span class="k">\mathop</span>
<span class="k">\mathopen</span>
<span class="k">\mathord</span>
<span class="k">\mathpunct</span>
<span class="k">\mathrel</span>
<span class="k">\mathring</span> AMSmath
<span class="k">\mathrm</span>
<span class="k">\mathscr</span>
<span class="k">\mathsf</span>
<span class="k">\mathstrut</span>
<span class="k">\mathtt</span>
<span class="k">\matrix</span>
<span class="k">\max</span>
<span class="k">\mbox</span>
<span class="k">\measuredangle</span> AMSsymbols
<span class="k">\mho</span> AMSsymbols
<span class="k">\mid</span>
<span class="k">\min</span>
<span class="k">\mit</span>
<span class="k">\mkern</span>
<span class="k">\mod</span>
<span class="k">\models</span>
<span class="k">\moveleft</span>
<span class="k">\moveright</span>
<span class="k">\mp</span>
<span class="k">\mskip</span>
<span class="k">\mspace</span>
<span class="k">\mu</span>
<span class="k">\multimap</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="n">
<h3>N<a class="headerlink" href="#n" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\nabla</span>
<span class="k">\natural</span>
<span class="k">\ncong</span> AMSsymbols
<span class="k">\ne</span>
<span class="k">\nearrow</span>
<span class="k">\neg</span>
<span class="k">\negmedspace</span> AMSmath
<span class="k">\negthickspace</span> AMSmath
<span class="k">\negthinspace</span>
<span class="k">\neq</span>
<span class="k">\newcommand</span> [newcommand]
<span class="k">\newenvironment</span> [newcommand]
<span class="k">\newline</span>
<span class="k">\nexists</span> AMSsymbols
<span class="k">\ngeq</span> AMSsymbols
<span class="k">\ngeqq</span> AMSsymbols
<span class="k">\ngeqslant</span> AMSsymbols
<span class="k">\ngtr</span> AMSsymbols
<span class="k">\ni</span>
<span class="k">\nLeftarrow</span> AMSsymbols
<span class="k">\nleftarrow</span> AMSsymbols
<span class="k">\nLeftrightarrow</span> AMSsymbols
<span class="k">\nleftrightarrow</span> AMSsymbols
<span class="k">\nleq</span> AMSsymbols
<span class="k">\nleqq</span> AMSsymbols
<span class="k">\nleqslant</span> AMSsymbols
<span class="k">\nless</span> AMSsymbols
<span class="k">\nmid</span> AMSsymbols
<span class="k">\nobreakspace</span> AMSmath
<span class="k">\nolimits</span>
<span class="k">\normalsize</span>
<span class="k">\not</span>
<span class="k">\notag</span> AMSmath
<span class="k">\notag</span> [AMSmath]
<span class="k">\notin</span>
<span class="k">\nparallel</span> AMSsymbols
<span class="k">\nprec</span> AMSsymbols
<span class="k">\npreceq</span> AMSsymbols
<span class="k">\nRightarrow</span> AMSsymbols
<span class="k">\nrightarrow</span> AMSsymbols
<span class="k">\nshortmid</span> AMSsymbols
<span class="k">\nshortparallel</span> AMSsymbols
<span class="k">\nsim</span> AMSsymbols
<span class="k">\nsubseteq</span> AMSsymbols
<span class="k">\nsubseteqq</span> AMSsymbols
<span class="k">\nsucc</span> AMSsymbols
<span class="k">\nsucceq</span> AMSsymbols
<span class="k">\nsupseteq</span> AMSsymbols
<span class="k">\nsupseteqq</span> AMSsymbols
<span class="k">\ntriangleleft</span> AMSsymbols
<span class="k">\ntrianglelefteq</span> AMSsymbols
<span class="k">\ntriangleright</span> AMSsymbols
<span class="k">\ntrianglerighteq</span> AMSsymbols
<span class="k">\nu</span>
<span class="k">\nVDash</span> AMSsymbols
<span class="k">\nVdash</span> AMSsymbols
<span class="k">\nvDash</span> AMSsymbols
<span class="k">\nvdash</span> AMSsymbols
<span class="k">\nwarrow</span>
</pre></div>
</div>
</div>
<div class="section" id="o">
<h3>O<a class="headerlink" href="#o" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\odot</span>
<span class="k">\oint</span>
<span class="k">\oldstyle</span>
<span class="k">\Omega</span>
<span class="k">\omega</span>
<span class="k">\omicron</span>
<span class="k">\ominus</span>
<span class="k">\operatorname</span> AMSmath
<span class="k">\oplus</span>
<span class="k">\oslash</span>
<span class="k">\otimes</span>
<span class="k">\over</span>
<span class="k">\overbrace</span>
<span class="k">\overleftarrow</span>
<span class="k">\overleftrightarrow</span>
<span class="k">\overline</span>
<span class="k">\overrightarrow</span>
<span class="k">\overset</span>
<span class="k">\overwithdelims</span>
<span class="k">\owns</span>
</pre></div>
</div>
</div>
<div class="section" id="p">
<h3>P<a class="headerlink" href="#p" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\parallel</span>
<span class="k">\partial</span>
<span class="k">\perp</span>
<span class="k">\phantom</span>
<span class="k">\Phi</span>
<span class="k">\phi</span>
<span class="k">\Pi</span>
<span class="k">\pi</span>
<span class="k">\pitchfork</span> AMSsymbols
<span class="k">\pm</span>
<span class="k">\pmatrix</span>
<span class="k">\pmb</span>
<span class="k">\pmod</span>
<span class="k">\pod</span>
<span class="k">\Pr</span>
<span class="k">\prec</span>
<span class="k">\precapprox</span> AMSsymbols
<span class="k">\preccurlyeq</span> AMSsymbols
<span class="k">\preceq</span>
<span class="k">\precnapprox</span> AMSsymbols
<span class="k">\precneqq</span> AMSsymbols
<span class="k">\precnsim</span> AMSsymbols
<span class="k">\precsim</span> AMSsymbols
<span class="k">\prime</span>
<span class="k">\prod</span>
<span class="k">\projlim</span> AMSmath
<span class="k">\propto</span>
<span class="k">\Psi</span>
<span class="k">\psi</span>
</pre></div>
</div>
</div>
<div class="section" id="q">
<h3>Q<a class="headerlink" href="#q" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\qquad</span>
<span class="k">\quad</span>
</pre></div>
</div>
</div>
<div class="section" id="r">
<h3>R<a class="headerlink" href="#r" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\raise</span>
<span class="k">\rangle</span>
<span class="k">\rbrace</span>
<span class="k">\rbrack</span>
<span class="k">\rceil</span>
<span class="k">\Re</span>
<span class="k">\renewcommand</span> [newcommand]
<span class="k">\require</span> non-standard
<span class="k">\restriction</span> AMSsymbols
<span class="k">\rfloor</span>
<span class="k">\rgroup</span>
<span class="k">\rhd</span> AMSsymbols
<span class="k">\rho</span>
<span class="k">\right</span>
<span class="k">\Rightarrow</span>
<span class="k">\rightarrow</span>
<span class="k">\rightarrowtail</span> AMSsymbols
<span class="k">\rightharpoondown</span>
<span class="k">\rightharpoonup</span>
<span class="k">\rightleftarrows</span> AMSsymbols
<span class="k">\rightleftharpoons</span>
<span class="k">\rightleftharpoons</span> AMSsymbols
<span class="k">\rightrightarrows</span> AMSsymbols
<span class="k">\rightsquigarrow</span> AMSsymbols
<span class="k">\rightthreetimes</span> AMSsymbols
<span class="k">\risingdotseq</span> AMSsymbols
<span class="k">\rlap</span>
<span class="k">\rm</span>
<span class="k">\rmoustache</span>
<span class="k">\root</span>
<span class="k">\Rrightarrow</span> AMSsymbols
<span class="k">\Rsh</span> AMSsymbols
<span class="k">\rtimes</span> AMSsymbols
<span class="k">\Rule</span> non-standard
<span class="k">\rVert</span> AMSmath
<span class="k">\rvert</span> AMSmath
</pre></div>
</div>
</div>
<div class="section" id="s">
<h3>S<a class="headerlink" href="#s" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\S</span>
<span class="k">\scr</span>
<span class="k">\scriptscriptstyle</span>
<span class="k">\scriptsize</span>
<span class="k">\scriptstyle</span>
<span class="k">\searrow</span>
<span class="k">\sec</span>
<span class="k">\setminus</span>
<span class="k">\sf</span>
<span class="k">\sharp</span>
<span class="k">\shortmid</span> AMSsymbols
<span class="k">\shortparallel</span> AMSsymbols
<span class="k">\shoveleft</span> AMSmath
<span class="k">\shoveright</span> AMSmath
<span class="k">\sideset</span> AMSmath
<span class="k">\Sigma</span>
<span class="k">\sigma</span>
<span class="k">\sim</span>
<span class="k">\simeq</span>
<span class="k">\sin</span>
<span class="k">\sinh</span>
<span class="k">\skew</span>
<span class="k">\small</span>
<span class="k">\smallfrown</span> AMSsymbols
<span class="k">\smallint</span>
<span class="k">\smallsetminus</span> AMSsymbols
<span class="k">\smallsmile</span> AMSsymbols
<span class="k">\smash</span>
<span class="k">\smile</span>
<span class="k">\Space</span>
<span class="k">\space</span>
<span class="k">\spadesuit</span>
<span class="k">\sphericalangle</span> AMSsymbols
<span class="k">\sqcap</span>
<span class="k">\sqcup</span>
<span class="k">\sqrt</span>
<span class="k">\sqsubset</span> AMSsymbols
<span class="k">\sqsubseteq</span>
<span class="k">\sqsupset</span> AMSsymbols
<span class="k">\sqsupseteq</span>
<span class="k">\square</span> AMSsymbols
<span class="k">\stackrel</span>
<span class="k">\star</span>
<span class="k">\strut</span>
<span class="k">\style</span> [HTML] non-stanard
<span class="k">\subset</span>
<span class="k">\Subset</span> AMSsymbols
<span class="k">\subseteq</span>
<span class="k">\subseteqq</span> AMSsymbols
<span class="k">\subsetneq</span> AMSsymbols
<span class="k">\subsetneqq</span> AMSsymbols
<span class="k">\substack</span> AMSmath
<span class="k">\succ</span>
<span class="k">\succapprox</span> AMSsymbols
<span class="k">\succcurlyeq</span> AMSsymbols
<span class="k">\succeq</span>
<span class="k">\succnapprox</span> AMSsymbols
<span class="k">\succneqq</span> AMSsymbols
<span class="k">\succnsim</span> AMSsymbols
<span class="k">\succsim</span> AMSsymbols
<span class="k">\sum</span>
<span class="k">\sup</span>
<span class="k">\supset</span>
<span class="k">\Supset</span> AMSsymbols
<span class="k">\supseteq</span>
<span class="k">\supseteqq</span> AMSsymbols
<span class="k">\supsetneq</span> AMSsymbols
<span class="k">\supsetneqq</span> AMSsymbols
<span class="k">\surd</span>
<span class="k">\swarrow</span>
</pre></div>
</div>
</div>
<div class="section" id="t">
<h3>T<a class="headerlink" href="#t" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\tag</span> AMSmath
<span class="k">\tag</span> [AMSmath]
<span class="k">\tan</span>
<span class="k">\tanh</span>
<span class="k">\tau</span>
<span class="k">\tbinom</span> AMSmath
<span class="k">\TeX</span>
<span class="k">\text</span>
<span class="k">\textbf</span>
<span class="k">\textit</span>
<span class="k">\textrm</span>
<span class="k">\textstyle</span>
<span class="k">\tfrac</span> AMSmath
<span class="k">\therefore</span> AMSsymbols
<span class="k">\Theta</span>
<span class="k">\theta</span>
<span class="k">\thickapprox</span> AMSsymbols
<span class="k">\thicksim</span> AMSsymbols
<span class="k">\thinspace</span>
<span class="k">\tilde</span>
<span class="k">\times</span>
<span class="k">\tiny</span>
<span class="k">\Tiny</span> non-standard
<span class="k">\to</span>
<span class="k">\top</span>
<span class="k">\triangle</span>
<span class="k">\triangledown</span> AMSsymbols
<span class="k">\triangleleft</span>
<span class="k">\trianglelefteq</span> AMSsymbols
<span class="k">\triangleq</span> AMSsymbols
<span class="k">\triangleright</span>
<span class="k">\trianglerighteq</span> AMSsymbols
<span class="k">\tt</span>
<span class="k">\twoheadleftarrow</span> AMSsymbols
<span class="k">\twoheadrightarrow</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="u">
<h3>U<a class="headerlink" href="#u" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\ulcorner</span> AMSsymbols
<span class="k">\underbrace</span>
<span class="k">\underleftarrow</span>
<span class="k">\underleftrightarrow</span>
<span class="k">\underline</span>
<span class="k">\underrightarrow</span>
<span class="k">\underset</span>
<span class="k">\unicode</span> [unicode] non-standard
<span class="k">\unlhd</span> AMSsymbols
<span class="k">\unrhd</span> AMSsymbols
<span class="k">\Uparrow</span>
<span class="k">\uparrow</span>
<span class="k">\Updownarrow</span>
<span class="k">\updownarrow</span>
<span class="k">\upharpoonleft</span> AMSsymbols
<span class="k">\upharpoonright</span> AMSsymbols
<span class="k">\uplus</span>
<span class="k">\uproot</span>
<span class="k">\Upsilon</span>
<span class="k">\upsilon</span>
<span class="k">\upuparrows</span> AMSsymbols
<span class="k">\urcorner</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="v">
<h3>V<a class="headerlink" href="#v" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\varDelta</span> AMSsymbols
<span class="k">\varepsilon</span>
<span class="k">\varGamma</span> AMSsymbols
<span class="k">\varinjlim</span> AMSmath
<span class="k">\varkappa</span> AMSsymbols
<span class="k">\varLambda</span> AMSsymbols
<span class="k">\varliminf</span> AMSmath
<span class="k">\varlimsup</span> AMSmath
<span class="k">\varnothing</span> AMSsymbols
<span class="k">\varOmega</span> AMSsymbols
<span class="k">\varphi</span>
<span class="k">\varPhi</span> AMSsymbols
<span class="k">\varpi</span>
<span class="k">\varPi</span> AMSsymbols
<span class="k">\varprojlim</span> AMSmath
<span class="k">\varpropto</span> AMSsymbols
<span class="k">\varPsi</span> AMSsymbols
<span class="k">\varrho</span>
<span class="k">\varsigma</span>
<span class="k">\varSigma</span> AMSsymbols
<span class="k">\varsubsetneq</span> AMSsymbols
<span class="k">\varsubsetneqq</span> AMSsymbols
<span class="k">\varsupsetneq</span> AMSsymbols
<span class="k">\varsupsetneqq</span> AMSsymbols
<span class="k">\vartheta</span>
<span class="k">\varTheta</span> AMSsymbols
<span class="k">\vartriangle</span> AMSsymbols
<span class="k">\vartriangleleft</span> AMSsymbols
<span class="k">\vartriangleright</span> AMSsymbols
<span class="k">\varUpsilon</span> AMSsymbols
<span class="k">\varXi</span> AMSsymbols
<span class="k">\vcenter</span>
<span class="k">\vdash</span>
<span class="k">\Vdash</span> AMSsymbols
<span class="k">\vDash</span> AMSsymbols
<span class="k">\vdots</span>
<span class="k">\vec</span>
<span class="k">\vee</span>
<span class="k">\veebar</span> AMSsymbols
<span class="k">\verb</span> [verb]
<span class="k">\Vert</span>
<span class="k">\vert</span>
<span class="k">\vphantom</span>
<span class="k">\Vvdash</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="w">
<h3>W<a class="headerlink" href="#w" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\wedge</span>
<span class="k">\widehat</span>
<span class="k">\widetilde</span>
<span class="k">\wp</span>
<span class="k">\wr</span>
</pre></div>
</div>
</div>
<div class="section" id="x">
<h3>X<a class="headerlink" href="#x" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\Xi</span>
<span class="k">\xi</span>
<span class="k">\xleftarrow</span> AMSmath
<span class="k">\xrightarrow</span> AMSmath
</pre></div>
</div>
</div>
<div class="section" id="y">
<h3>Y<a class="headerlink" href="#y" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\yen</span> AMSsymbols
</pre></div>
</div>
</div>
<div class="section" id="z">
<h3>Z<a class="headerlink" href="#z" title="Permalink to this headline">¶</a></h3>
<div class="highlight-latex"><div class="highlight"><pre><span class="k">\zeta</span>
</pre></div>
</div>
</div>
<div class="section" id="environments">
<h3>Environments<a class="headerlink" href="#environments" title="Permalink to this headline">¶</a></h3>
<p>LaTeX environments of the form <tt class="docutils literal"><span class="pre">\begin{XXX}</span> <span class="pre">...</span> <span class="pre">\end{XXX}</span></tt> are
preovided where <tt class="docutils literal"><span class="pre">XXX</span></tt> is one of the following:</p>
<div class="highlight-latex"><div class="highlight"><pre>align [AMSmath]
align* [AMSmath]
alignat [AMSmath]
alignat* [AMSmath]
aligned [AMSmath]
alignedat [AMSmath]
array
Bmatrix
bmatrix
cases
eqnarray
eqnarray*
equation
equation*
gather [AMSmath]
gather* [AMSmath]
gathered [AMSmath]
matrix
multline [AMSmath]
multline* [AMSmath]
pmatrix
smallmatrix AMSmath
split [AMSmath]
subarray AMSmath
Vmatrix
vmatrix
</pre></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
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<h3><a href="index.html">Table Of Contents</a></h3>
<ul>
<li><a class="reference internal" href="#">MathJax TeX and LaTeX Support</a><ul>
<li><a class="reference internal" href="#tex-and-latex-math-delimiters">TeX and LaTeX math delimiters</a></li>
<li><a class="reference internal" href="#tex-and-latex-in-html-documents">TeX and LaTeX in HTML documents</a></li>
<li><a class="reference internal" href="#tex-and-latex-extensions">TeX and LaTeX extensions</a><ul>
<li><a class="reference internal" href="#amsmath-and-amssymbols">AMSmath and AMSsymbols</a></li>
<li><a class="reference internal" href="#autobold">Autobold</a></li>
<li><a class="reference internal" href="#noerrors">noErrors</a></li>
<li><a class="reference internal" href="#noundefined">noUndefined</a></li>
<li><a class="reference internal" href="#unicode-support">Unicode support</a></li>
</ul>
</li>
<li><a class="reference internal" href="#supported-latex-commands">Supported LaTeX commands</a><ul>
<li><a class="reference internal" href="#symbols">Symbols</a></li>
<li><a class="reference internal" href="#a">A</a></li>
<li><a class="reference internal" href="#b">B</a></li>
<li><a class="reference internal" href="#c">C</a></li>
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<li><a class="reference internal" href="#x">X</a></li>
<li><a class="reference internal" href="#y">Y</a></li>
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