.. _TeX-support:

*****************************
MathJax TeX and LaTeX Support
*****************************

The support for :term:`TeX` and :term:`LaTeX` in MathJax consists of two
parts: the `tex2jax` preprocessor, and the `TeX` input processor.  The
first of these looks for mathematics within your web page (indicated by
math delimiters like ``$$...$$``) 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.

The `tex2jax` preprocessor can be configured to look for whatever
markers you want to use for your math delimiters.  See the
:ref:`tex2jax configuration options <configure-tex2jax>` section for
details on how to customize the action of `tex2jax`.

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 :ref:`TeX options
<configure-TeX>` section for details), but it can also be customized
through the use of extensions that define additional functionality
(see the :ref:`TeX and LaTeX extensions <tex-extensions>` below).

Note that the TeX input processor implements **only** 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 ``\emph`` or
``\begin{enumerate}...\end{enumerate}`` 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 `other options
<http://www.google.com/search?q=latex+to+html+converter>`_.


TeX and LaTeX math delimiters
=============================

By default, the `tex2jax` preprocesor defines the LaTeX math delimiters, 
which are ``\(...\)`` for in-line math, and ``\[...\]`` for displayed 
equations.  It also defines the TeX delimiters ``$$...$$`` for displayed 
equations, but it does **not** define ``$...$`` 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:

.. code-block:: javascript

    MathJax.Hub.Config({
      tex2jax: {
        inlineMath: [['$','$'], ['\\(','\\)']],
        processEscapes: true
      }
    });

Note that if you do this, you may want to also set ``processEscapes`` to
``true``, as in the example above, so that you can use ``\$`` to prevent a
dollar sign from being treated as a math delimiter within the text of your
web page.  (Note that within TeX mathematics, ``\$`` always has this
meaning; ``processEscapes`` only affects the treatment of the *opening*
math delimiter.)

See the ``config/default.js`` file, or the :ref:`tex2jax configuration
options <configure-tex2jax>` page, for additional configuration
parameters that you can specify for the `tex2jax` preprocessor,
which is the component of MathJax that identifies TeX notation within
the page).


TeX and LaTeX in HTML documents
===============================

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 ``<BR>``) 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 (``<``and ``>``), and
ampersands (``&``), which have special meaning to the browsers.  For
example,

.. code-block:: latex

	... when $x<y$ we have ...

will cause a problem, because the brower will think ``<y`` is the
beginning of a tag named ``y`` (even though there is no such tag in
HTML).  When this happens, the browser will think the tag continues up
to the next ``>`` 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 ``<y``.  This is one indication you can
use to spot this prooblem; it is a common error and should be avoided.

Usually, it is sufficient to simply put spaces around these symbols to
cause the browser to avoid them, so

.. code-block:: latex

	... when $x < y$ we have ...

should work.  Alternatively, you can use the HTML entities ``&lt;``,
``&gt;`` and ``&amp;`` to encode these characters so that the browser
will not interpret them, but MathJax will.  E.g.,

.. code-block:: latex

	  ... when $x &lt; y$ we have ...

Finally, there are ``\lt`` and ``\gt`` macros defined to make it
easier to enter ``<`` and ``>`` using TeX-like syntax:

.. code-block:: latex

        ... when $x \lt y$ we have ...

Keep in mind that the browser interprets your text before MathJax
does.


.. _tex-extensions:

TeX and LaTeX extensions
========================

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 ``\def`` and ``\newcommand`` macros are
implemented in the ``newcommand.js`` 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.

To enable any of the TeX extensions, simply add the appropriate string
(e.g., ``"AMSmath.js"``) to the `extensions` array in the ``TeX`` block
of your configuration.  If you use one of the combined configuration files,
like ``TeX-AMS_HTML``, 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

.. code-block:: html

    <script type="text/x-mathjax-config">
      MathJax.Hub.Config({ TeX: { extensions: ["autobold.js"] }});
    </script>
    <script type="text/javascript"
        src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML">
    </script>

will load the `autobold` TeX extension in addition to those already 
included in the ``TeX-AMS_HTML`` configuration file.

The main extensions are described below.  

AMSmath and AMSsymbols
----------------------

The `AMSmath` extension implements AMS math environments and macros, and
the `AMSsymbols` 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 `extensions` array in the TeX block.

.. code-block:: javascript

    TeX: {
      extensions: ["AMSmath.js", "AMSsymbols.js", ...]
    }

See the list of control sequences at the end of this document for details
about what commands are implemented in these extensions.

If you are not using one of the combined configuration files, the `AMSmath`
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 `AMSsymbols` extension
is not loaded automatically, so you must include it explicitly if you want
to use the macros it defines.


Autobold
--------

The `autobold` extension adds ``\boldsymbol{...}`` around mathematics that
appears in a section of an HTML page that is in bold.

.. code-block:: javascript

    TeX: {
      extensions: ["autobold.js"]
    }

This extension is **not** loaded by the combined configuration files.


noErrors
--------

The `noErrors` 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).

This extension is loaded by all the combined configuration files that
include the TeX input processor.  To enable the `noErrors` extension in
your own configuration, or to modify its parameters, add something like the
following to your :meth:`MathJax.Hub.Config()` call:

.. code-block:: javascript
 
    TeX: {
      extensions: ["noErrors.js"],
      noErrors: {
        inlineDelimiters: ["",""],   // or ["$","$"] or ["\\(","\\)"]
        multiLine: true,             // false for TeX on all one line
        style: {
          "font-family": "serif",
          "font-size":   "80%",
          "color":       "black",
          "border":      "1px solid" 
          // add any additional CSS styles that you want
          //  (be sure there is no extra comma at the end of the last item)
        }
      }
    }
 
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.

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

.. code-block:: javascript

    TeX: {
      noErrors: {
        inlineDelimiters: ["$","$"],   // or ["",""] or ["\\(","\\)"]
        multiLine: false,
        style: {
          "font-size": "normal",
          "border": ""
        }
      }
    }
  
You may also wish to set the font family, as the default is "serif"


noUndefined
-----------

The `noUndefined` extension causes undefined control sequences to be
shown as their macro names rather than generating error messages. So
``$X_{\xxx}$`` would display as an "X" with a subscript consiting of the
text ``\xxx`` in red.

This extension is loaded by all the combined configuration files that
include the TeX input processor.  To enable the `noUndefined` extension 
in your own configuration, or to modify its parameters, add something like 
the following ro your :meth:`MathJax.Hub.Config()` call:

.. code-block:: javascript

    TeX: {
      extensions: ["noUndefined.js"],
      noUndefined: {
        attributes: {
          mathcolor: "red",
          mathbackground: "#FFEEEE",
          mathsize: "90%"
        }
      }
    }

The ``attributes`` setting specifies attributes to apply to the
``mtext`` element that encodes the name of the undefined macro.  The
default values set ``mathcolor`` to ``"red"``, but do not set any
other attributes.  This example sets the background to a light pink,
and reduces the font size slightly.


Unicode support
---------------

The `unicode` extension implements a ``\unicode{}`` 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.
  
Examples:

.. code-block:: latex 

    \unicode{65}                        % the character 'A'
    \unicode{x41}                       % the character 'A'
    \unicode[.55,0.05]{x22D6}           % less-than with dot, with height .55em and depth 0.05em
    \unicode[.55,0.05][Geramond]{x22D6} % same taken from Geramond font
    \unicode[Garamond]{x22D6}           % same, but with default height, depth of .8em,.2em
    
Once a size and font are provided for a given unicode point, they need
not be specified again in subsequent ``\unicode{}`` calls for that
character.

The result of ``\unicode{...}`` will have TeX class `ORD` (i.e., it
will act like a variable).  Use ``\mathbin{...}``, ``\mathrel{...}``,
etc., to specify a different class.

Note that a font list can be given in the ``\unicode{}`` macro, but
Internet Explorer has a buggy implementation of the ``font-family``
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 `Internet-Options/Font` panel.  For
this reason, the default font list for the ``\unicode{}`` macro is
``STIXGeneral, 'Arial Unicode MS'``, so if the user has :term:`STIX`
fonts, the symbol will be taken from that (almost all the symbols are
in `STIXGeneral`), otherwise MathJax tries `Arial Unicode MS`.

The `unicode` extension is loaded automatically when you first use the
``\unicode{}`` macro, so you do not need to add it to the `extensions`
array.  You can configure the extension as follows:

.. code-block:: javascript

    TeX: {
      unicode: {
        fonts: "STIXGeneral, 'Arial Unicode MS'"
      }
    }


.. _tex-commands:

Supported LaTeX commands
========================

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.

Symbols
-------
    
.. code-block:: latex

    #
    %
    &
    ^
    _
    {
    }
    ~

    \   (backslash-space)
    \!
    \#
    \$
    \%
    \&
    \,
    \:
    \;
    \>
    \\
    \_
    \{
    \|
    \}
   
A
-

.. code-block:: latex
    
    \above
    \abovewithdelims
    \acute
    \aleph
    \alpha
    \amalg
    \And
    \angle
    \approx
    \approxeq               AMSsymbols
    \arccos
    \arcsin
    \arctan
    \arg
    \array
    \Arrowvert
    \arrowvert
    \ast
    \asymp
    \atop
    \atopwithdelims

B
-

.. code-block:: latex
    
    \backepsilon            AMSsymbols
    \backprime              AMSsymbols
    \backsim                AMSsymbols
    \backsimeq              AMSsymbols
    \backslash
    \backslash
    \bar
    \barwedge               AMSsymbols
    \Bbb
    \Bbbk                   AMSsymbols
    \because                AMSsymbols
    \begin
    \beta
    \beth                   AMSsymbols
    \between                AMSsymbols
    \bf
    \Big
    \big
    \bigcap
    \bigcirc
    \bigcup
    \Bigg
    \bigg
    \Biggl
    \biggl
    \Biggm
    \biggm
    \Biggr
    \biggr
    \Bigl
    \bigl
    \Bigm
    \bigm
    \bigodot
    \bigoplus
    \bigotimes
    \Bigr
    \bigr
    \bigsqcup
    \bigstar                AMSsymbols
    \bigtriangledown
    \bigtriangleup
    \biguplus
    \bigvee
    \bigwedge
    \binom                  AMSmath
    \blacklozenge           AMSsymbols
    \blacksquare            AMSsymbols
    \blacktriangle          AMSsymbols
    \blacktriangledown      AMSsymbols
    \blacktriangleleft      AMSsymbols
    \blacktriangleright     AMSsymbols
    \bmod
    \boldsymbol            [boldsymbol]
    \bot
    \bowtie
    \Box                    AMSsymbols
    \boxdot                 AMSsymbols
    \boxed                  AMSmath
    \boxminus               AMSsymbols
    \boxplus                AMSsymbols
    \boxtimes               AMSsymbols
    \brace
    \bracevert
    \brack
    \breve
    \buildrel
    \bullet
    \Bumpeq                 AMSsymbols
    \bumpeq                 AMSsymbols

C
-

.. code-block:: latex
    
    \cal
    \cap
    \Cap                    AMSsymbols
    \cases
    \cdot
    \cdotp
    \cdots
    \centerdot              AMSsymbols
    \cfrac                  AMSmath
    \check
    \checkmark              AMSsymbols
    \chi
    \choose
    \circ
    \circeq                 AMSsymbols
    \circlearrowleft        AMSsymbols
    \circlearrowright       AMSsymbols
    \circledast             AMSsymbols
    \circledcirc            AMSsymbols
    \circleddash            AMSsymbols
    \circledR               AMSsymbols
    \circledS               AMSsymbols
    \class                 [HTML]           non-standard
    \clubsuit
    \colon
    \color
    \complement             AMSsymbols
    \cong
    \coprod
    \cos
    \cosh
    \cot
    \coth
    \cr
    \csc
    \cssId                 [HTML]           non-standard
    \cup
    \Cup                    AMSsymbols
    \curlyeqprec            AMSsymbols
    \curlyeqsucc            AMSsymbols
    \curlyvee               AMSsymbols
    \curlywedge             AMSsymbols
    \curvearrowleft         AMSsymbols
    \curvearrowright        AMSsymbols

D
-

.. code-block:: latex
    
    \dagger
    \daleth                 AMSsymbols
    \dashleftarrow          AMSsymbols
    \dashrightarrow         AMSsymbols
    \dashv
    \dbinom                 AMSmath
    \ddagger
    \ddddot                 AMSmath
    \dddot                  AMSmath
    \ddot
    \ddots
    \DeclareMathOperator    AMSmath
    \def                   [newcommand]
    \deg
    \Delta
    \delta
    \det
    \dfrac                  AMSmath
    \diagdown               AMSsymbols
    \diagup                 AMSsymbols
    \diamond
    \Diamond                AMSsymbols
    \diamondsuit
    \digamma                AMSsymbols
    \dim
    \displaylines
    \displaystyle
    \div
    \divideontimes          AMSsymbols
    \dot
    \doteq
    \Doteq                  AMSsymbols
    \doteqdot               AMSsymbols
    \dotplus                AMSsymbols
    \dots
    \dotsb
    \dotsc
    \dotsi
    \dotsm
    \dotso
    \doublebarwedge         AMSsymbols
    \doublecap              AMSsymbols
    \doublecup              AMSsymbols
    \Downarrow
    \downarrow
    \downdownarrows         AMSsymbols
    \downharpoonleft        AMSsymbols
    \downharpoonright       AMSsymbols

E
-

.. code-block:: latex
    
    \ell
    \emptyset
    \end
    \enspace
    \epsilon
    \eqalign
    \eqalignno
    \eqcirc                 AMSsymbols
    \eqsim                  AMSsymbols
    \eqslantgtr             AMSsymbols
    \eqslantless            AMSsymbols
    \equiv
    \eta
    \eth                    AMSsymbols
    \exists
    \exp

F
-

.. code-block:: latex
    
    \fallingdotseq          AMSsymbols
    \fbox
    \Finv                   AMSsymbols
    \flat
    \forall
    \frac
    \frac                   AMSmath
    \frak
    \frown

G
-

.. code-block:: latex
    
    \Game                   AMSsymbols
    \Gamma
    \gamma
    \gcd
    \ge
    \genfrac                AMSmath
    \geq
    \geqq                   AMSsymbols
    \geqslant               AMSsymbols
    \gets
    \gg
    \ggg                    AMSsymbols
    \gggtr                  AMSsymbols
    \gimel                  AMSsymbols
    \gnapprox               AMSsymbols
    \gneq                   AMSsymbols
    \gneqq                  AMSsymbols
    \gnsim                  AMSsymbols
    \grave
    \gt
    \gt
    \gtrapprox              AMSsymbols
    \gtrdot                 AMSsymbols
    \gtreqless              AMSsymbols
    \gtreqqless             AMSsymbols
    \gtrless                AMSsymbols
    \gtrsim                 AMSsymbols
    \gvertneqq              AMSsymbols

H
-

.. code-block:: latex
    
    \hat
    \hbar
    \hbox
    \hdashline
    \heartsuit
    \hline
    \hom
    \hookleftarrow
    \hookrightarrow
    \hphantom
    \href                  [HTML]
    \hskip
    \hslash                 AMSsymbols
    \hspace
    \Huge
    \huge
    \idotsint               AMSmath

I
-

.. code-block:: latex
    
    \iff
    \iiiint                 AMSmath
    \iiint
    \iint
    \Im
    \imath
    \impliedby              AMSsymbols
    \implies                AMSsymbols
    \in
    \inf
    \infty
    \injlim                 AMSmath
    \int
    \intercal               AMSsymbols
    \intop
    \iota
    \it

J
-

.. code-block:: latex
    
    \jmath
    \Join                   AMSsymbols

K
-

.. code-block:: latex
    
    \kappa
    \ker
    \kern

L
-

.. code-block:: latex
    
    \Lambda
    \lambda
    \land
    \langle
    \LARGE
    \Large
    \large
    \LaTeX
    \lbrace
    \lbrack
    \lceil
    \ldotp
    \ldots
    \le
    \leadsto                AMSsymbols
    \left
    \Leftarrow
    \leftarrow
    \leftarrowtail          AMSsymbols
    \leftharpoondown
    \leftharpoonup
    \leftleftarrows         AMSsymbols
    \Leftrightarrow
    \leftrightarrow
    \leftrightarrows        AMSsymbols
    \leftrightharpoons      AMSsymbols
    \leftrightsquigarrow    AMSsymbols
    \leftroot
    \leftthreetimes         AMSsymbols
    \leq
    \leqalignno
    \leqq                   AMSsymbols
    \leqslant               AMSsymbols
    \lessapprox             AMSsymbols
    \lessdot                AMSsymbols
    \lesseqgtr              AMSsymbols
    \lesseqqgtr             AMSsymbols
    \lessgtr                AMSsymbols
    \lesssim                AMSsymbols
    \lfloor
    \lg
    \lgroup
    \lhd                    AMSsymbols
    \lim
    \liminf
    \limits
    \limsup
    \ll
    \llap
    \llcorner               AMSsymbols
    \Lleftarrow             AMSsymbols
    \lll                    AMSsymbols
    \llless                 AMSsymbols
    \lmoustache
    \ln
    \lnapprox               AMSsymbols
    \lneq                   AMSsymbols
    \lneqq                  AMSsymbols
    \lnot
    \lnsim                  AMSsymbols
    \log
    \Longleftarrow
    \longleftarrow
    \Longleftrightarrow
    \longleftrightarrow
    \longmapsto
    \Longrightarrow
    \longrightarrow
    \looparrowleft          AMSsymbols
    \looparrowright         AMSsymbols
    \lor
    \lower
    \lozenge                AMSsymbols
    \lrcorner               AMSsymbols
    \Lsh                    AMSsymbols
    \lt
    \lt
    \ltimes                 AMSsymbols
    \lVert                  AMSmath
    \lvert                  AMSmath
    \lvertneqq              AMSsymbols

M
-

.. code-block:: latex
    
    \maltese                AMSsymbols
    \mapsto
    \mathbb
    \mathbf
    \mathbin
    \mathcal
    \mathchoice            [mathchoice]
    \mathclose
    \mathfrak
    \mathinner
    \mathit
    \mathop
    \mathopen
    \mathord
    \mathpunct
    \mathrel
    \mathring               AMSmath
    \mathrm
    \mathscr
    \mathsf
    \mathstrut
    \mathtt
    \matrix
    \max
    \mbox
    \measuredangle          AMSsymbols
    \mho                    AMSsymbols
    \mid
    \min
    \mit
    \mkern
    \mod
    \models
    \moveleft
    \moveright
    \mp
    \mskip
    \mspace
    \mu
    \multimap               AMSsymbols

N
-

.. code-block:: latex
    
    \nabla
    \natural
    \ncong                  AMSsymbols
    \ne
    \nearrow
    \neg
    \negmedspace            AMSmath
    \negthickspace          AMSmath
    \negthinspace
    \neq
    \newcommand            [newcommand]
    \newenvironment        [newcommand]
    \newline
    \nexists                AMSsymbols
    \ngeq                   AMSsymbols
    \ngeqq                  AMSsymbols
    \ngeqslant              AMSsymbols
    \ngtr                   AMSsymbols
    \ni
    \nLeftarrow             AMSsymbols
    \nleftarrow             AMSsymbols
    \nLeftrightarrow        AMSsymbols
    \nleftrightarrow        AMSsymbols
    \nleq                   AMSsymbols
    \nleqq                  AMSsymbols
    \nleqslant              AMSsymbols
    \nless                  AMSsymbols
    \nmid                   AMSsymbols
    \nobreakspace           AMSmath
    \nolimits
    \normalsize
    \not
    \notag                  AMSmath
    \notag                 [AMSmath]
    \notin
    \nparallel              AMSsymbols
    \nprec                  AMSsymbols
    \npreceq                AMSsymbols
    \nRightarrow            AMSsymbols
    \nrightarrow            AMSsymbols
    \nshortmid              AMSsymbols
    \nshortparallel         AMSsymbols
    \nsim                   AMSsymbols
    \nsubseteq              AMSsymbols
    \nsubseteqq             AMSsymbols
    \nsucc                  AMSsymbols
    \nsucceq                AMSsymbols
    \nsupseteq              AMSsymbols
    \nsupseteqq             AMSsymbols
    \ntriangleleft          AMSsymbols
    \ntrianglelefteq        AMSsymbols
    \ntriangleright         AMSsymbols
    \ntrianglerighteq       AMSsymbols
    \nu
    \nVDash                 AMSsymbols
    \nVdash                 AMSsymbols
    \nvDash                 AMSsymbols
    \nvdash                 AMSsymbols
    \nwarrow

O
-

.. code-block:: latex
    
    \odot
    \oint
    \oldstyle
    \Omega
    \omega
    \omicron
    \ominus
    \operatorname           AMSmath
    \oplus
    \oslash
    \otimes
    \over
    \overbrace
    \overleftarrow
    \overleftrightarrow
    \overline
    \overrightarrow
    \overset
    \overwithdelims
    \owns

P
-

.. code-block:: latex
    
    \parallel
    \partial
    \perp
    \phantom
    \Phi
    \phi
    \Pi
    \pi
    \pitchfork              AMSsymbols
    \pm
    \pmatrix
    \pmb
    \pmod
    \pod
    \Pr
    \prec
    \precapprox             AMSsymbols
    \preccurlyeq            AMSsymbols
    \preceq
    \precnapprox            AMSsymbols
    \precneqq               AMSsymbols
    \precnsim               AMSsymbols
    \precsim                AMSsymbols
    \prime
    \prod
    \projlim                AMSmath
    \propto
    \Psi
    \psi

Q
-

.. code-block:: latex
    
    \qquad
    \quad

R
-

.. code-block:: latex
    
    \raise
    \rangle
    \rbrace
    \rbrack
    \rceil
    \Re
    \renewcommand          [newcommand]
    \require                               non-standard
    \restriction            AMSsymbols
    \rfloor
    \rgroup
    \rhd                    AMSsymbols
    \rho
    \right
    \Rightarrow
    \rightarrow
    \rightarrowtail         AMSsymbols
    \rightharpoondown
    \rightharpoonup
    \rightleftarrows        AMSsymbols
    \rightleftharpoons
    \rightleftharpoons      AMSsymbols
    \rightrightarrows       AMSsymbols
    \rightsquigarrow        AMSsymbols
    \rightthreetimes        AMSsymbols
    \risingdotseq           AMSsymbols
    \rlap
    \rm
    \rmoustache
    \root
    \Rrightarrow            AMSsymbols
    \Rsh                    AMSsymbols
    \rtimes                 AMSsymbols
    \Rule                                  non-standard
    \rVert                  AMSmath
    \rvert                  AMSmath

S
-

.. code-block:: latex
    
    \S
    \scr
    \scriptscriptstyle
    \scriptsize
    \scriptstyle
    \searrow
    \sec
    \setminus
    \sf
    \sharp
    \shortmid               AMSsymbols
    \shortparallel          AMSsymbols
    \shoveleft              AMSmath
    \shoveright             AMSmath
    \sideset                AMSmath
    \Sigma
    \sigma
    \sim
    \simeq
    \sin
    \sinh
    \skew
    \small
    \smallfrown             AMSsymbols
    \smallint
    \smallsetminus          AMSsymbols
    \smallsmile             AMSsymbols
    \smash
    \smile
    \Space
    \space
    \spadesuit
    \sphericalangle         AMSsymbols
    \sqcap
    \sqcup
    \sqrt
    \sqsubset               AMSsymbols
    \sqsubseteq
    \sqsupset               AMSsymbols
    \sqsupseteq
    \square                 AMSsymbols
    \stackrel
    \star
    \strut
    \style                 [HTML]          non-stanard
    \subset
    \Subset                 AMSsymbols
    \subseteq
    \subseteqq              AMSsymbols
    \subsetneq              AMSsymbols
    \subsetneqq             AMSsymbols
    \substack               AMSmath
    \succ
    \succapprox             AMSsymbols
    \succcurlyeq            AMSsymbols
    \succeq
    \succnapprox            AMSsymbols
    \succneqq               AMSsymbols
    \succnsim               AMSsymbols
    \succsim                AMSsymbols
    \sum
    \sup
    \supset
    \Supset                 AMSsymbols
    \supseteq
    \supseteqq              AMSsymbols
    \supsetneq              AMSsymbols
    \supsetneqq             AMSsymbols
    \surd
    \swarrow

T
-

.. code-block:: latex
    
    \tag                    AMSmath
    \tag                   [AMSmath]
    \tan
    \tanh
    \tau
    \tbinom                 AMSmath
    \TeX
    \text
    \textbf
    \textit
    \textrm
    \textstyle
    \tfrac                  AMSmath
    \therefore              AMSsymbols
    \Theta
    \theta
    \thickapprox            AMSsymbols
    \thicksim               AMSsymbols
    \thinspace
    \tilde
    \times
    \tiny
    \Tiny                                  non-standard
    \to
    \top
    \triangle
    \triangledown           AMSsymbols
    \triangleleft
    \trianglelefteq         AMSsymbols
    \triangleq              AMSsymbols
    \triangleright
    \trianglerighteq        AMSsymbols
    \tt
    \twoheadleftarrow       AMSsymbols
    \twoheadrightarrow      AMSsymbols

U
-

.. code-block:: latex
    
    \ulcorner               AMSsymbols
    \underbrace
    \underleftarrow
    \underleftrightarrow
    \underline
    \underrightarrow
    \underset
    \unicode               [unicode]       non-standard
    \unlhd                  AMSsymbols
    \unrhd                  AMSsymbols
    \Uparrow
    \uparrow
    \Updownarrow
    \updownarrow
    \upharpoonleft          AMSsymbols
    \upharpoonright         AMSsymbols
    \uplus
    \uproot
    \Upsilon
    \upsilon
    \upuparrows             AMSsymbols
    \urcorner               AMSsymbols

V
-

.. code-block:: latex
    
    \varDelta               AMSsymbols
    \varepsilon
    \varGamma               AMSsymbols
    \varinjlim              AMSmath
    \varkappa               AMSsymbols
    \varLambda              AMSsymbols
    \varliminf              AMSmath
    \varlimsup              AMSmath
    \varnothing             AMSsymbols
    \varOmega               AMSsymbols
    \varphi
    \varPhi                 AMSsymbols
    \varpi
    \varPi                  AMSsymbols
    \varprojlim             AMSmath
    \varpropto              AMSsymbols
    \varPsi                 AMSsymbols
    \varrho
    \varsigma
    \varSigma               AMSsymbols
    \varsubsetneq           AMSsymbols
    \varsubsetneqq          AMSsymbols
    \varsupsetneq           AMSsymbols
    \varsupsetneqq          AMSsymbols
    \vartheta
    \varTheta               AMSsymbols
    \vartriangle            AMSsymbols
    \vartriangleleft        AMSsymbols
    \vartriangleright       AMSsymbols
    \varUpsilon             AMSsymbols
    \varXi                  AMSsymbols
    \vcenter
    \vdash
    \Vdash                  AMSsymbols
    \vDash                  AMSsymbols
    \vdots
    \vec
    \vee
    \veebar                 AMSsymbols
    \verb                  [verb]
    \Vert
    \vert
    \vphantom
    \Vvdash                 AMSsymbols

W
-

.. code-block:: latex
    
    \wedge
    \widehat
    \widetilde
    \wp
    \wr

X
-

.. code-block:: latex
    
    \Xi
    \xi
    \xleftarrow             AMSmath
    \xrightarrow            AMSmath

Y
-

.. code-block:: latex
    
    \yen                    AMSsymbols

Z
-

.. code-block:: latex
    
    \zeta


Environments
------------

LaTeX environments of the form ``\begin{XXX} ... \end{XXX}`` are
preovided where ``XXX`` is one of the following:

.. code-block:: latex

    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