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|
<!--
****************************************************************************
* Copyright(c) 2002-2012, John Forkosh Associates, Inc. All rights reserved.
* http://www.forkosh.com mailto: john@forkosh.com
* ==========================================================================
* This file is part of mimeTeX, which is free software. You may redistribute
* and/or modify it under the terms of the GNU General Public License,
* version 3 or later, as published by the Free Software Foundation.
* MimeTeX is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY, not even the implied warranty of MERCHANTABILITY.
* See the GNU General Public License for specific details.
* By using mimeTeX, you warrant that you have read, understood and
* agreed to these terms and conditions, and that you possess the legal
* right and ability to enter into this agreement and to use mimeTeX
* in accordance with it.
* Your mimetex.zip distribution file should contain the file COPYING,
* an ascii text copy of the GNU General Public License, version 3.
* If not, point your browser to http://www.gnu.org/licenses/
* or write to the Free Software Foundation, Inc.,
* 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
****************************************************************************
-->
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
"http://www.w3.org/TR/html4/loose.dtd">
<!-- "http://www.forkosh.com/loose.dtd" -->
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Preamble
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<html>
<head>
<title> mimeTeX user's manual </title>
<meta HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1">
<style type="text/css">
body { background-image: none; /* none; or url(); */
/*background-repeat: repeat-y;*/
/*background-attachment: fixed;*/ /* fixed; or scroll; */
background-color: #ffffff; color: #000000;
margin-left: 0.5em; margin-right: 0.1em;
font-size: large; /* or medium */
clear: both }
A:active { color: blue/*#0000FF*/; text-decoration: none }
A:link { color: blue/*#0000FF*/; text-decoration: none }
A:visited { color: blue/*#0000FF*/; text-decoration: none }
A:hover { color: red/*#FF0000*/; text-decoration: underline
/*font-style: italic; font-weight: bold;*/
/*font-size: normal; line-height: normal*/ }
h1 { color: maroon; text-decoration: underline;
font-style: normal; /* italic oblique */
font-size: xx-large;
padding-top: 2.0em;
letter-spacing: 0.25em }
h2 { color: maroon; text-decoration: underline;
font-style: normal; /* italic oblique */
font-size: x-large;
padding-top: 1.0em;
letter-spacing: 0.20em }
h3 { color: maroon; /*black; text-decoration: underline;*/
font-style: normal; /* italic oblique */
font-size: large;
margin-left: 1em;
padding-top: 0.5em;
letter-spacing: 0.15em }
center { padding-top: -0.1em; padding-bottom: -0.1em; }
table { font-size: large }
table.medium { font-size: medium }
dl { font-size: large;
margin-left: 3.0em; margin-right: 2.5em }
ol { margin-left: 3.0em; margin-right: 2.5em }
ul { margin-left: 3.0em; margin-right: 2.5em;
list-style-type: square }
ul ul { margin-left: -0.5em; margin-right: 3.5em;
list-style-type: disc }
pre { margin-left: 3.0em; font-size: medium; font-weight: bold }
pre.nobold { margin-left:3.0em; font-size:medium; font-weight:normal }
p { margin-left: 2.0em; margin-right: 1.5em }
p:first-letter
{ font-size: x-large; font-weight: bold;
color: maroon }
p.continue { margin-left: 2.0em; margin-right: 1.5em;
padding-top: -0.1em }
p.continue:first-letter
{ font-size: large; font-weight: normal;
color: black }
p.warning { color: red } /* defines p class=warning */
</style>
<style type="text/css">
a.info{
position:relative;
z-index:24;
/*background-color:#8692A5;*/
visibility: inherit;
text-decoration: none; }
a.info:hover{
z-index:25;
/*background-color:#999999;
color: #FFFF00;*/
text-decoration: none; }
a.info span{
display: none;
/*color: #FFFF00;*/ }
a.info:hover span{
display:block;
position:absolute;
top:2em;
left:2em;
/*width:15em;*/
border:1px solid #330066;
background-color:#FFFF99;
color:#660000;
text-align: left;
font-size: 13px;
font-weight: normal;
margin: 3px;
padding: 6px; }
a.info:link {
text-decoration: none;
/*color: #FFFF00;*/ /*themecolour1%0;*/ }
a.info:visited {
text-decoration: none;
/*color: #FFFF00;*/ /*themecolour1%0;*/ }
</style>
<script type="text/javascript">
<!--
// add/clear text to expression
function eqntext(eqn)
{ var eqnSrc = document.getElementById(eqn).src;
var texSrc = eqnSrc.substring(eqnSrc.indexOf('?')+1,eqnSrc.length);
addtext(texSrc); }
function addtext(text)
{ cleartext();
document.expression.formdata.value += unescape(text);
document.expression.formdata.focus(); }
function cleartext()
{ document.expression.formdata.value = "";
//document.inlineframe.value = "";
document.expression.formdata.focus(); }
-->
</script>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ php functions to use Vertical-Align: info from mimetex
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<?php
//$mimetexurl = "../cgi-bin/mimetex.cgi?";
$mimetexurl = "http://www.forkosh.com/mimetex.cgi?";
//$mimetexurl = "http://psi2star/cgi-bin/mimetex.cgi?";
function verticalalign( $expression ) {
global $mimetexurl;
// note: curl_init() stops at the first whitespace char in $url argument
$expression = ereg_replace(" ","~",$expression); // remove whitespace
$url = $mimetexurl . "\depth~" . $expression;
$valign = "0";
$options = array(
CURLOPT_RETURNTRANSFER => true, // return web page
CURLOPT_HEADER => true); // return headers
$ch = curl_init( $url );
//curl_setopt_array( $ch, $options );
curl_setopt( $ch, CURLOPT_RETURNTRANSFER, true );
curl_setopt( $ch, CURLOPT_HEADER, true );
$gif = curl_exec( $ch );
$errno = curl_errno( $ch );
$error = curl_error( $ch );
//$info = curl_getinfo( $ch );
curl_close( $ch );
//echo '<br> url= ',$url,'<br>',"\n";
//echo '<br> gif=<br>',$gif,'<br>',"\n";
if ( $errno == 0 ) {
$fields = explode("Vertical-Align:",$gif);
$vfield = trim($fields[1]);
$fldlen = strspn($vfield,"+-0123456789");
$valign = substr($vfield,0,$fldlen); }
else {
echo 'verticalalign> errno ',$errno,' = ',$error,'<br><br>',"\n"; }
return $valign;
}
function mimetextag( $label, $expression ) {
global $mimetexurl;
$valign = verticalalign($expression);
$url = $mimetexurl . $expression;
//echo ' valign=',$valign,' ',"\n";
echo '<a href="#preview" class="info"><img id="',$label,'" ';
echo ' onclick="eqntext(',"'",$label,"'",')" ';
echo ' src="',$url,'" ';
echo ' style="Vertical-Align:',$valign,'px" ';
echo ' alt="" border=0>';
echo '<span>',$expression,'</span>';
echo '</a>', "\n";
}
?>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ javascript from mathtran.org to render <img alt="tex:math expression">
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<!-- script type="text/javascript"
src="http://www.mathtran.org/js/mathtran_img.js"></script -->
</head>
<body>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Banner across top of page, containing title and two example mimeTeX images.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<br>
<hr size=4>
<center>
<table cellspacing=10>
<tr>
<td align="center">
<a href="#preview"><img id="imageBanr1" onclick="eqntext('imageBanr1')"
src="../cgi-bin/mimetex.cgi?\Large f=b_o+\frac{a_1}{b_1+\frac{a_2}
{b_2+\frac{a_3}{b_3+a_4}}}" alt="" border=0 align=middle></a> </td>
<td align="center" valign="middle">
<center> <font color="maroon" size=4>
<b><nobr>m i m e T e X m a n u a l</nobr></b> <br>
<font size=3>( for mimeTeX version
<a href="#preview"><img id="imageVer1" onclick="eqntext('imageVer1')"
src="../cgi-bin/mimetex.cgi?\small\versionnumber"
alt="" border=0 align=bottom></a> )</font> <br>
<font size=3> <b>Click for:</b>
<!-- <a href="http://www.forkosh.com" target="_top">homepage</a>,
<a href="http://www.forkosh.com/resume.html" target="_top">resume</a> -->
<a href="http://www.forkosh.com/mimetextutorial.html" target="_top">
LaTeX tutorial</a><br>
<a href="http://www.forkosh.com/mimetex.html" target="_top">
mimeTeX QuickStart</a><br>
<a href="http://www.forkosh.com/cgi-bin/weblist.cgi?-t=weblist
&-f=sources/weblistemplate.html&files=@sources/sourcecode/mimetex.lis
©right=2002-2011&counter=mimetex
&title=mimetex&description=m i m e T e X S o u r c e L i s t i n g"
target="_top">mimeTeX Source Listing</a><br>
<a href="http://www.forkosh.com/mimetex.zip">
<!-- jfa <a href="ftp://ftp.tex.ac.uk/tex-archive/support/mimetex/mimetex.zip"></a> -->
<font size=4>download mimeTeX</font></a></font>
</font> </center> </td>
<td align="center">
<a href="#preview"><img id="imageBanr2" onclick="eqntext('imageBanr2')"
src="../cgi-bin/mimetex.cgi?\Large\scr{J}^{ij}=\frac12\varepsilon_{ijk}
\left[\begin{array}{cc}\sigma_k&0\\0&\sigma_k\end{array}\right]"
alt="" border=0 align=middle></a> <br>
<a href="#examples">more_examples...</a> </td>
</tr>
<tr> <td align="center" colspan="3">
This page discusses mimeTeX, a program that displays math on the web.<br>
(<font size=3>See
<a href="http://www.americanscientist.org/issues/pub/2009/3/writing-math-on-the-web/1"
target="_top">Writing Math on the Web</a>
for a more general discussion.</font>)
</td> </tr>
</table>
</center>
<hr size=4>
<center><b><font color="maroon" size=3>
Copyright <font size=5>©</font> 2002-2012,
<a href="http://www.forkosh.com">John Forkosh Associates, Inc.</a> <br>
email: <a href="mailto:john@forkosh.com">john@forkosh.com</a>
</font></b> <br><br>
<a href="#preview"><img id="timestamp1" onclick="eqntext('timestamp1')"
src="../cgi-bin/mimetex.cgi?\normalsize\blue\begin{matrix}
\large\today\\\normalsize\today[3]\end{matrix}"
alt="" border=0 align=middle></a> </center>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Table of Contents
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<br> <center><b><font color="maroon" size=6>
<u> C o n t e n t s
</u></font></b> <br>
<table cellspacing=0 class="medium">
<tr>
<td valign="top" align="center" width=150>
<font size=3><b>- - - T u t o r i a l - - -</b></font> </td>
<td valign="top" align="center" colspan=3 width=450><font size=3><b>
- - - - - - - - - - - - - - R e f e r e n c e - - - - - - - - - - - - - -
</b></font></td>
</tr>
<tr>
<td valign="top" align="center" width=150> <font size=3>
<a href="#introduction"> (I) Introduction </a><br>
<a href="#quickstart"> a. Quick Start </a><br>
<a href="#examples"> b. Examples </a><br>
<a href="#scripts"> c. Scripts&Plugins </a><br>
<a href="#gpl"> d. GPL License </a> </font> </td>
<td valign="top" align="center" width=150> <font size=3>
<a href="#build"> (II) Building mimeTeX </a><br>
<a href="#compile"> a. Compile </a><br>
<a href="#install"> b. Install </a><br>
<a href="#options"> c. Compile Options </a><br>
<a href="#cmdline"> d. Command Line </a> </font> </td>
<td valign="top" align="center" width=150> <font size=3>
<a href="#reference"> (III) Syntax Reference </a><br>
<a href="#spaces"> a. Math & White Space </a><br>
<a href="#symbols"> b. Symbols, Sizes, Modes </a><br>
<a href="#delimiters"> c. Delimiters </a><br>
<a href="#accents"> d. Accents, Arrows, etc. </a><br>
<a href="#array"> e. \begin{array} </a><br>
<a href="#picture"> f. \picture( ){ } </a><br>
<a href="#commands"> g. Other Commands </a><br>
<a href="#exceptions"> h. Other Exceptions </a><br>
<a href="#messages"> i. Errors and Messages </a> </font> </td>
<td valign="top" align="center" width=150> <font size=3>
<a href="#appendices"> (IV) Appendices </a><br>
<a href="#fonts"> a. Fonts </a><br>
<a href="#makeraster"> b. make_raster() </a><br>
<a href="#gifsave"> c. gifsave.c </a>
<br><a href="#remarks"> Remarks </a> </font> </td>
</tr>
</table>
</center>
<!-- br -->
<p style="margin-left:3em;margin-right:3em;">
<font color="blue" size=3> This page contains more information
than you'll probably need to read. If you follow the
<font color="maroon">Installation and Usage Summary</font>
below, try installing mimeTeX immediately. <!-- If you need
more information, --> Or continue reading until you feel comfortable
trying to install mimeTeX. <!-- Return to this page as needed. -->
Prerequisites are: some knowledge of your OS's shell,
of installing cgi's, of LaTeX. </font>
<font color="maroon" size=3> <br>
<b>"</b><i>Computers are like Old Testament gods<b>:</b>
lots of rules and no mercy.</i><b>"</b><br>
<b>––</b> Joseph Campbell, The Power of Myth
(Doubleday 1988, page 18) </font> </p>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ Installation and Usage Summary
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<!-- br -->
<center>
<table border="0">
<tr> <!-- banner -->
<td align="left">
<!-- <b><font color="maroon" size=4>
<u> I n s t a l l a t i o n
a n d U s a g e S u m m a r y
</u></font></b> -->
<font size=4 color="maroon"><b>- - - - - - I n s t a l l a t i o n
a n d U s a g e S u m m a r y - - - - - -</b></font>
</td> </tr>
<tr>
<td valign="top"> <!-- summary -->
<table border="0" cellpadding="0" cellspacing="0" hspace="0" vspace="0">
<tr><td align="right" valign="top">
<a href="#build">Installation</a>: </td>
<td><font size=4> Download <a href="http://www.forkosh.com/mimetex.zip">
mimetex.zip</a> and then type <br>
<b> unzip mimetex.zip</b> <br>
<b> cc -DAA mimetex.c gifsave.c -lm -o mimetex.cgi</b>
<br>Now just <b>mv</b> mimetex.cgi to your <b>cgi-bin/</b>
directory, <br> set permissions as necessary, and you're all done.
</font></td></tr>
<tr><td colspan="2"> <font size="2"> </font> </td></tr>
<tr><td align="right" valign="top">
<a href="#introduction">Usage</a>: </td>
<td><font size=4> To see the image <br>
<a href="#preview"><img id="summary1" onclick="eqntext('summary1')"
src="../cgi-bin/mimetex.cgi?x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}"
alt="" border=0 align=middle></a> <br>
just write the tag <br>
<b> <img src="/cgi-bin/mimetex.cgi?<br>
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}"></b>
</font></td></tr>
</table>
</td>
</tr>
</table>
</center>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SECTION I. INTRODUCTION
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h1> <a name="introduction">(I) Introduction</a> </h1>
<p> <font color="maroon">MimeTeX, licensed under the
<a href="http://www.gnu.org/licenses/gpl.html" target="_top">gpl</a>,
lets you easily embed LaTeX math in your html pages.</font>
It parses a LaTeX math expression and immediately emits the
corresponding gif image, rather than the usual TeX dvi.
And mimeTeX is an entirely separate little program that doesn't use
TeX or its fonts in any way. It's just one cgi that you put in your
site's cgi-bin/ directory, with no other dependencies. So mimeTeX
is very easy to <a href="#build">install</a>. <br>
<nobr>
Just download <a href="http://www.forkosh.com/mimetex.zip">
mimetex.zip</a> and then type </nobr> <br>
<nobr><b>
unzip mimetex.zip</b></nobr> <br>
<nobr><b>
cc –DAA mimetex.c gifsave.c
–lm –o mimetex.cgi</b></nobr> <br>
<nobr>
Now just <b>mv</b> mimetex.cgi to your <b>cgi-bin/</b>
directory, </nobr> <br>
<nobr>
set permissions as necessary, and you're all done. </nobr> <br>
<br>
And mimeTeX is equally easy to <a href="#quickstart">use</a><b>:</b>
just place an html <img> tag in your document
wherever you want to see the corresponding LaTeX expression. <br>
<nobr>
For example, the <img> tag </nobr> <br>
<nobr><b>
<img
src="../cgi-bin/mimetex.cgi?f(x)=\int_{-\infty}^xe^{-t^2}dt" ></b></nobr><br>
<nobr>
immediately generates the corresponding gif image on-the-fly,</nobr><br>
<nobr>
displaying
<?php mimetextag('imageI1',
'\normalsize f(x)=\int\limits_{-\infty}^xe^{-t^2}dt'); ?>
wherever you put that tag.</nobr><br>
<br>
MimeTeX doesn't need intermediate dvi-to-gif conversion, and it doesn't
create separate gif files for each converted expression.
(But you can enable image caching with mimeTeX's
<b>-DCACHEPATH=\"<i>path/</i>\"</b>
<a href="#options">compile option</a>.)
And there's no inherent need to repeatedly write the
cumbersome <img> tag illustrated above.
You can write your own
<a href="#scripts">wrapper scripts</a>,
discussed below, around mimeTeX to simplify the notation. </p>
<h3> <a name="alternatives">
Alternative solutions<font size=5>...</font></a> </h3>
<p> MimeTeX's benefit over similar math-on-the-web solutions is, as
mentioned above, its easy installation. But if that's not a
problem for you, and if your site's server already has a LaTeX
distribution installed, and suitable image conversion utilities like
<a href="http://www.imagemagick.org" target="_top">ImageMagick</a>,
then you may prefer to look at a math rendering script like
<a href="http://www.mayer.dial.pipex.com/tex.htm#latexrender"
target="_top">latexrender</a>
which uses LaTeX to create higher quality images than mimeTeX
produces. For comparison,
<?php mimetextag('imageI2',
'\small f(x)=\int\limits_{-\infty}^xe^{-t^2}dt'); ?>,
with arbitrary mean
<?php mimetextag('imageI3','\normalsize\mu'); ?> and standard deviation
<?php mimetextag('imageI4','\normalsize\sigma'); ?>,
and at mimeTeX's next larger font size, looks like </p>
<center>
<table>
<tr align="center">
<td> <font size="4">latexrender</font> </td>
<td> <img src="../cgi-bin/mimetex.cgi?\hspace{30}"
alt="" border=0> </td>
<td> <font size="4">mimeTeX</font> </td>
</tr>
<tr align="center">
<td> <img src="http://www.forkosh.com/lrender.gif"
alt="" border=0 align=middle> </td>
<td> </td>
<td>
<?php mimetextag('imageI5',
'\normalsize f(x)={\Large\frac1{\sigma\sqrt{2\pi}}}
\int_{\small-\infty}^xe^{-\small\frac{(t-\mu)^2}{2\sigma^2}}dt'); ?>
</td>
</tr>
</table>
</center>
<p> Similar LaTeX-based solutions that you may want to look at are
<a href="http://www.mathtran.org" target="_top">mathtran</a>,
<a href="http://www.fourmilab.ch/webtools/textogif/textogif.html"
target="_top">textogif</a> and
<a href="http://www.math.uio.no/~martingu/gladtex/"
target="_top">gladTeX</a>. Additional discussion and several more
links are at <a href="http://www.tug.org/interest.html#web"
target="_top">www.tug.org/interest.html</a> and in the
<a href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=LaTeX2HTML"
target="_top">tex-faq</a>. </p>
<p> For example, <a href="http://www.mathtran.org" target="_top">mathtran</a>
is a public LaTeX web service that's
particularly easy to use by following these simple
<a href="http://www.mathtran.org/wiki/index.php/TeX_image"
target="_top">instructions</a>. In the <head> of your
html page, place the tag <br>
<script type="text/javascript" <br>
src="http://www.mathtran.org/js/mathtran_img.js"></script><br>
and in the <body>, wherever you want to see latex images,
place tags like <br>
<img alt=<b>"</b>tex:<i>any latex math expression</i><b>"</b>><br>
For comparison, <br>
<img alt="tex: f(x) = \frac1{\sigma\sqrt{2\pi}} <br>
\int_{-\infty}^x e^{-\frac{(t-\mu)^2}{2\sigma^2}}dt"> <br>
looks like </p>
<center>
<table>
<tr align="center">
<td> <font size="4">mathtran</font> </td>
<td> <img src="../cgi-bin/mimetex.cgi?\hspace{30}"
alt="" border=0> </td>
<td> <font size="4">mimeTeX</font> </td>
</tr>
<tr align="center">
<td> unavailable
<!-- img alt="tex:\displaystyle f(x) = \frac1{\sigma\sqrt{2\pi}}
\int_{-\infty}^x e^{-\frac{(t-\mu)^2}{2\sigma^2}}dt" --> <br> </td>
<td> </td>
<td>
<a href="#preview"><img id="imageP3" onclick="eqntext('imageP3')"
src="../cgi-bin/mimetex.cgi?\large
f(x)={\Large\frac1{\sigma\sqrt{2\pi}}}
\int_{\small-\infty}^xe^{-\small\frac{(t-\mu)^2}{2\sigma^2}}dt"
alt="" border=0 align=middle></a> </td>
</tr>
</table>
</center>
<!--
<p> The remainder of this introductory mimeTeX tutorial section contains </p>
<ul>
<li> First, a concise <a href="#quickstart">Quickstart</a> providing
just enough information for you to try rendering your own
expressions by <a href="#preview">Submitting Queries</a>
right from this page. </li>
<li> Then, a variety of additional <a href="#examples">Examples</a>
that more fully illustrate mimeTeX's capabilities
(later on, Section III comprises a more complete mimeTeX
<a href="#reference">Syntax Reference</a>). </li>
<li> Finally, the <a href="#gpl">gpl</a> license, whose terms
and conditions you must agree to before using mimeTeX.</li>
</ul>
-->
<p> You may now want to browse the additional <a href="#examples">Examples</a>
below before proceeding, to make sure mimeTeX suits your needs before you
spend more time learning to use it. </p>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
QUICKSTART
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h2> <a name="quickstart"> (Ia) Quick Start </a> </h2>
<p> <!-- Unlike MathML, --> MimeTeX is as TeX-like as possible (though
not 100% compliant), and you must already be familiar with LaTeX
math markup to use it. If you're not, many online LaTeX
<a href="http://www.tug.org/begin.html#doc" target="_top">turorials</a>
are readily available. You may also want to browse Andrew Roberts'
<a href="http://www.andy-roberts.net/misc/latex/latextutorial9.html"
target="_top">Latex Math I</a> and
<a href="http://www.andy-roberts.net/misc/latex/latextutorial10.html"
target="_top">Latex Math II</a>, or my own
<a href="http://www.forkosh.com/mimetextutorial.html" target="_top">
LaTeX math tutorial</a>.
Then, instead of continuing to read this page, you can <!-- may prefer
to play with mimeTeX yourself. In that case, --> just Submit any LaTeX
math expression you like in the Query Box below. I've started
you out with a little example already in the box, or <!-- , instead, -->
you can Click any of the <a href="#examples">Examples</a> below
to place that corresponding expression in the Query Box. </p>
<p> Meanwhile, here are just a few quickstart tips for Submitting
your own mimeTeX expressions in the Query Box below: </p>
<ul>
<li> MimeTeX currently has eight font sizes selected by
one of the usual directives <b>\tiny</b>
or <b>\small</b> or <b>\normalsize</b> ,
or <b>\large</b> (default) or <b>\Large</b>
or <b>\LARGE</b> , or <b>\huge</b> or <b>\Huge</b> .
Unlike standard LaTeX, font size directives may
appear within math mode expressions. They affect everything
to their right, except that their scope will be limited to any
<b>{ }</b>-enclosed subexpression in which they occur.
For example, "<b>a+\small b+c</b>"
renders
<a href="#preview"> <img id="imageBu" onclick="eqntext('imageBu')"
src="../cgi-bin/mimetex.cgi?\large a+\small b+c"
alt="" border=0 style="Vertical-Align:-2px"></a>,
whereas "<b>\small a+{\Large b+}c</b>"
renders
<a href="#preview"> <img id="imageBv" onclick="eqntext('imageBv')"
src="../cgi-bin/mimetex.cgi?\small a+{\Large b+}c"
alt="" border=0 style="Vertical-Align:-2px"></a>. </li>
<!-- <li> At smaller font sizes, try preceding your expression with
<b>\light</b> which adjusts mimeTeX's anti-aliasing
parameters to produce thinner lines that you may feel are
more legible, e.g.,<br>
<a href="#preview"><img id="imageIA1" onclick="eqntext('imageIA1')"
src="../cgi-bin/mimetex.cgi?\light\small\displaystyle
e^x=\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0
align=middle> </a>   versus
<a href="#preview"><img id="imageIA2" onclick="eqntext('imageIA2')"
src="../cgi-bin/mimetex.cgi?\small\displaystyle
e^x=\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0
align=middle> </a> </li> -->
<li> <!-- For displaystyle math mode limits illustrated above,
write either
<b>\displaystyle e^x=\sum_{n=0}^\infty\frac{x^n}{n!}</b>
or <b>e^x=\sum\limits_{n=0}^\infty\frac{x^n}{n!}</b>
in the usual way (ditto for <b>\int</b>, <b>\prod</b>,
<b>\cup</b>, <b>\cap</b>, etc). --> <!-- MimeTeX also recognizes
<b>\Bigint</b>, <b>\Bigsum</b>, <b>\Bigprod</b>, and several
similar extra symbols which are a little bigger, and which
automatically render displaystyle limits. -->
<!-- MimeTeX default-renders limits displaystyle at sizes
<b>\large</b> and larger (see the <b>-DDISPLAYSIZE=<i>n</i></b>
<a href="#options">compile option</a> below to change the
default). <b>\textstyle</b> overrides this default for
your entire expression, or <b>\nolimits</b> overrides it
for a single operator. -->
By default, mimeTeX renders limits textstyle
<a href="#preview"> <img id="imageB1" onclick="eqntext('imageB1')"
src="../cgi-bin/mimetex.cgi?\normalsize\textstyle
\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0
style="Vertical-Align:-5px"></a>
at sizes <b>\normalsize</b> and smaller,
and renders them displaystyle
<a href="#preview"> <img id="imageB2" onclick="eqntext('imageB2')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0
style="Vertical-Align:-15px"></a>
at sizes <b>\large</b> and larger.
The LaTeX directives <b>\displaystyle</b> or <b>\textstyle</b>,
and <b>\limits</b> or <b>\nolimits</b>, override mimeTeX's default
in the usual way. Or see the <b>-DDISPLAYSIZE=<i>n</i></b>
<a href="#options">compile option</a> below to change
the default. </li>
<!-- <li> As discussed in the <a href="#introduction">Introduction</a>,
you can replace cumbersome <img> tags with your own custom
tags or wrapper scripts. </li> -->
<li> <!-- And --> There are occasional exceptions where I couldn't
program mimeTeX to recognize valid LaTeX syntax.
One particular "gotcha" is that mimeTeX bindings
are pretty much left-to-right. Thus, for example, although
mimeTeX correctly interprets <b>\frac12</b> as well as
<b>\frac1{x^2}</b>, etc, the legal LaTeX expression
<b>x^\frac12</b> must be written <b>x^{\frac12}</b>.
Otherwise, mimeTeX interprets it as <b>{x^\frac}12</b>, i.e.,
the same way <b>x^\alpha12</b> would be interpreted, which is
nonsense for <b>\frac</b>. The same "gotcha" also applies to
other combinations of commands, e.g., you must write
<b>\sqrt{\frac\alpha\beta}</b>, or
<b>\frac\alpha{\sqrt\beta}</b>, etc.
The <a href="#reference">Syntax Reference</a> section
contains much additional information. <!-- Or you can just begin
playing with mimeTeX for yourself to see if it might have
any potential usefulness for you. --> </li>
<li> And there are various additional syntactic and cosmetic
differences between LaTeX and mimeTeX. For example,
bounding boxes for mimeTeX's character bitmaps don't
accommodate italic corrections. Therefore, an expression
like <b>\int\nolimits_a^b</b> renders
<a href="#preview"><img id="gotcha1" onclick="eqntext('gotcha1')"
src="../cgi-bin/mimetex.cgi?
\normalsize\displaystyle\int\nolimits_a^b"
alt="" border=0 align=middle></a> rather than
<a href="#preview"><img id="gotcha2" onclick="eqntext('gotcha2')"
src="../cgi-bin/mimetex.cgi?
\normalsize\displaystyle\smashmargin{2}{\int\nolimits_a}^b"
alt="" border=0 align=middle></a><b>.</b>
To render the latter image you have to write the somewhat
cumbersome expression <b>{\smashmargin2{\int\nolimits_a}^b}</b>
instead (see <a href="#smash">smash</a> below). </li>
<li> Besides such exceptions, mimeTeX
also provides various LaTeX extensions <!-- , i.e., LaTeX errors
permitted by mimetex. --> (such as font size
directives like <b>\Large</b> permitted within mimeTeX
math mode expressions, as discussed above).
<!-- , but flagged as errors by LaTeX. -->
<!-- But note well: if you take advantage of mimeTeX extensions,
your math mode expressions will no longer be accepted by
standard TeX engines. --> </li>
</ul>
<p> <a name="forminput"> </a> <a name="preview"> </a>
Now enter your own LaTeX expression, use the sample provided,
or Click any of the <a href="#examples">Examples</a>.
Then press the Submit button, and mimeTeX's rendering should be
displayed in the little window immediately below it. </p>
<center>
<table border="2" cellpadding="5" cellspacing="0">
<tr align="center"><td>
<form name="expression" action="../cgi-bin/mimetex.cgi"
method="get" target="inlineframe">
<table border="0" cellpadding="0" cellspacing="1">
<tr align="left"><td align="center">
<b>First enter your own LaTeX expression,
or Click any example...</b> <br>
<textarea name="formdata" rows="5" cols="72"
>\Large f(x)=\int_{-\infty}^x e^{-t^2}dt</textarea> <br>
</td></tr>
<tr align="center"><td>
<font size="-1"> <input type="button" onClick="cleartext()"
value="Clear Expression">
<input type="submit" value="Submit Expression"> </font>
</td></tr>
</table>
</form> </td></tr> <tr align="left"><td align="center">
<b>Now click Submit to see it rendered below...</b> <br>
<iframe name="inlineframe" align="middle" width="85%" height="110">
<p>iframe's not supported if you see this.</p>
</iframe>
</td></tr>
</table>
</center>
<p> You should see
<a href="#preview"><img id="imageIA3" onclick="eqntext('imageIA3')"
src="../cgi-bin/mimetex.cgi?\normalsize
f(x)=\int\limits_{-\infty}^x e^{-t^2}dt"
alt="" border=0 style="Vertical-Align:-11px"></a>
if you submit the sample expression already in the box.
Or see <a href="#messages">error messages</a> whenever an
unexpected image is displayed instead. And (as discussed
above) the <img> tag to embed this same integral anywhere
in your own document is <br>
<nobr><b>
<img
src="../cgi-bin/mimetex.cgi?f(x)=\int_{-\infty}^xe^{-t^2}dt" ></b></nobr><br>
</p>
<!-- p class="continue">
And recall that the typical mimeTeX <img> tag has the form </p>
<pre> <img src="../cgi-bin/mimetex.cgi?any valid LaTeX/mimeTeX expression"
alt="" border=0 align=middle></pre> <p class="continue">
where <b>../cgi-bin/mimetex.cgi</b> is the relative path from your html
page containing these tags to your compiled mimetex.cgi program, and
where <b>any valid LaTeX/mimeTeX expression</b>
is pretty much any valid LaTeX math expression: </p -->
<!-- ++++++++
<h3> <a name="errormessages">
Error messages<font size=5>...</font></a> </h3>
<p> Any (La)TeX error is typically also a mimeTeX error.
However, mimeTeX has no command line interface or
<b>.</b>log file for reporting errors. Its only
communication with you is through the mimeTeX image
rendered by your browser. So error messages are embedded
in that image whenever feasible. For example,
suppose you want to see
<a href="#preview"><img id="messages1" onclick="eqntext('messages1')"
src="../cgi-bin/mimetex.cgi?\normalsize\alpha\beta\gamma\delta"
alt="" border=0 align="bottom"></a>
but you mistakenly type <b>\alpha\bethe\gamma\delta</b>
instead. Then the image rendered is
<a href="#preview"><img id="messages2" onclick="eqntext('messages2')"
src="../cgi-bin/mimetex.cgi?\normalsize\alpha\bethe\gamma\delta"
alt="" border=0 align="bottom"></a>
indicating the unrecognized <b>[\bethe?]</b> where you wanted to type
<b>\beta</b> and had hoped to see
<a href="#preview"><img id="messages3" onclick="eqntext('messages3')"
src="../cgi-bin/mimetex.cgi?\normalsize\bf\beta"
alt="" border=0 align="bottom"></a><b>.</b>
If your expression contains some unprintable character
(meaning any character mimeTeX has no bitmap for),
then just
<a href="#preview"><img id="messages4" onclick="eqntext('messages4')"
src="../cgi-bin/mimetex.cgi?\small\bf[?]"
alt="" border=0 align="bottom"></a>
is displayed in the corresponding position. </p>
<p> The preceding example illustrates a pretty trivial error.
Any non-trivial errors in your expression are likely to
go unrecognized and unreported by mimeTeX, and to render
unexpected images. While checking your input expression
for syntax errors, keep in mind the following points
about mimeTeX's behavior: </p>
<ul>
<li> An unmatched left brace <b>{</b> is matched
by mimeTeX with a "phantom" right brace <b>}</b>
that's imagined to be at the end of your expression. </li>
<li> Likewise, an unmatched <b>\left(</b>,
or <b>\left\{</b> or <b>\left\</b><i>anything</i>,
is matched by mimeTeX with a "phantom" <b>\right.</b>
at the end of your expression. </li>
<li> On the other hand, an unmatched right brace <b>}</b>
is displayed in place, as if you had typed \rbrace. </li>
<li> But an unmatched <b>\right\</b><i>anything</i>
is interpreted as an
<a href="http://www.forkosh.com/mimetexmanual.html?abbreviations"
target="_top">abbreviation</a> for <b>\</b>rightarrow
followed by <b>\</b><i>anything</i>. For example,
<b>\leff( abc \right) def</b> renders
<a href="#preview"><img id="messages5"
onclick="eqntext('messages5')"
src="../cgi-bin/mimetex.cgi?\small\leff(abc\right)def"
alt="" border=0 align="bottom"></a>.
</li>
</ul>
++++++++ -->
<!-- ++++++++
<h3> <a name="infomessages">
Informational messages<font size=5>...</font></a> </h3>
<p> The latest release of mimeTeX is version
<a href="#preview"><img id="messages11" onclick="eqntext('messages11')"
src="../cgi-bin/mimetex.cgi?\small\versionnumber"
alt="" border=0 align="bottom"></a>
which was last revised
<a href="#preview"><img id="messages12" onclick="eqntext('messages12')"
src="../cgi-bin/mimetex.cgi?\small\revisiondate"
alt="" border=0 align="bottom"></a>.
The special mimeTeX directive <b>\version</b>
displays that same information, </p>
<center>
<a href="#preview"><img id="messages13" onclick="eqntext('messages13')"
src="../cgi-bin/mimetex.cgi?\version"
alt="" border=0 align=middle></a>
</center>
<p> To check that your own release of mimeTeX is current,
type a url into your browser's locator window something like <br>
<b>http://www.<i>yourdomain</i>.com/cgi-bin/mimetex.cgi?\version</b> <br>
which will display the version and revision date of
mimeTeX installed on your server. </p>
++++++++ -->
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
EXAMPLES
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h2> <a name="examples"> (Ib) Examples </a> </h2>
<p> Here are various additional random examples further illustrating
mimeTeX's features and usage. To see how they're done, Click any
one of them to place its corresponding expression in the
<a href="#preview">Query Box</a> above. Then press Submit
to re-render it, or you can edit the expression first to suit
your own purposes. </p>
<table cellspacing=15>
<!-- first example: taylor series for e^x at various font sizes and colors
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5><a name="example1">(1)</a></font> </td>
<td align="left" colspan=4>
<a href="#preview">
<img id="example1a" onclick="eqntext('example1a')"
src="../cgi-bin/mimetex.cgi?\red\normalsize\displaystyle
e^x=\sum_{n=0}^\infty\frac{x^n}{n!}"
alt="" border=0 align=middle></a>    
<a href="#preview">
<img id="example1b" onclick="eqntext('example1b')"
src="../cgi-bin/mimetex.cgi?\green\large\displaystyle
e^x=\sum_{n=0}^\infty\frac{x^n}{n!}"
alt="" border=0 align=middle></a>    
<a href="#preview">
<img id="example1c" onclick="eqntext('example1c')"
src="../cgi-bin/mimetex.cgi?\blue\Large
e^x=\sum_{n=0}^\infty\frac{x^n}{n!}"
alt="" border=0 align=middle></a>    
<a href="#preview">
<img id="example1d" onclick="eqntext('example1d')"
src="../cgi-bin/mimetex.cgi?\reverse\opaque
\LARGE e^x=\sum_{n=0}^\infty\frac{x^n}{n!}"
alt="" border=0 align=middle></a>    
<a href="#preview">
<img id="example1e" onclick="eqntext('example1e')"
src="../cgi-bin/mimetex.cgi?\LARGE
e^x=\lim_{n\to\infty} \left(1+\frac xn\right)^n"
alt="" border=0 align=middle></a>
</td>
</tr>
<!-- second example
+++++++++++++++++++ -->
<tr>
<td>
<font size=5>(2)</font> </td>
<td align="left" colspan=4>
<a href="#preview">
<img id="example2" onclick="eqntext('example2')"
src="../cgi-bin/mimetex.cgi?\Large\frac{dv^m}{ds}=-\Gamma^m_{oo}v^{o^2}
=-g^{mn}\Gamma_{noo}v^{o^2}=\frac12g^{mn}g_{oo,n}v^{o^2}"
alt="" border=0 align=middle></a> </td>
</tr>
<!-- third example
++++++++++++++++++ -->
<tr>
<td>
<font size=5>(3)</font> </td>
<td align="left" colspan=4>
<a href="#preview">
<img id="example3" onclick="eqntext('example3')"
src="../cgi-bin/mimetex.cgi?\Large\varepsilon=\sum_{i=1}^{n-1}
\frac1{\Delta x}\int_{x_i}^{x_{i+1}}\left\{\frac1{\Delta x}\big[
(x_{i+1}-x)y_i^\ast+(x-x_i)y_{i+1}^\ast\big]-f(x)\right\}^2dx"
alt="" border=0 align=middle></a> </td>
</tr>
<!-- fourth example: solution to quadratic, definition of derivative
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(4)</font> </td>
<td align="left" colspan=4>
<table>
<tr>
<td align="left">
<a href="#preview">
<img id="example4a" onclick="eqntext('example4a')"
src="../cgi-bin/mimetex.cgi?\LARGE x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}"
alt="" border=0 align=middle></a> </td>
<td>
solution for quadratic </td>
</tr>
<tr> <td> <br> </td> </tr>
<tr>
<td align="left">
<a href="#preview">
<img id="example4b" onclick="eqntext('example4b')"
src="../cgi-bin/mimetex.cgi?\large f^\prime(x)\ =
\lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}"
alt="" border=0 align=middle></a> </td>
<td>
definition of derivative </td>
</tr>
</table> </td>
</tr>
<!-- fifth example: continued fraction
+++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(5)</font> </td>
<td align="left">
<a href="#preview">
<img id="example5" onclick="eqntext('example5')"
src="../cgi-bin/mimetex.cgi?\LARGE f=b_o+\frac{a_1}{b_1+
\frac{a_2}{b_2+\frac{a_3}{b_3+a_4}}}"
alt="" border=0 align=middle></a> </td>
<td>
illustrating <b>\frac{}{}</b> for continued fraction </td>
</tr>
<!-- sixth example: demonstrating \left\{ ... \right.
+++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(6)</font> </td>
<td align="left">
<a href="#preview">
<img id="example6" onclick="eqntext('example6')"
src="../cgi-bin/mimetex.cgi?\LARGE\tilde y=\left\{
{\ddot x\text{ if \vec x odd}\atop\hat{\,\bar x+1}\text{ if even}}\right."
alt="" border=0 align=middle></a> </td>
<td>
illustrating <b>\left\{...\right<font size=5>.</font></b>
<!-- we may write <b>\{...\.</b> --> <br>
and note the accents </td>
</tr>
<!-- seventh example: demonstrating \overbrace \underbrace
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(7)</font> </td>
<td align="center">
<a href="#preview">
<img id="example7" onclick="eqntext('example7')"
src="../cgi-bin/mimetex.cgi?\large\overbrace{a,...,a}^{\text{k a^,s}},
\underbrace{b,...,b}_{\text{l b^,s}}\hspace{10}
\normalsize\underbrace{\overbrace{a...a}^{\text{k a^,s}},
\overbrace{b...b}^{\text{l b^,s}}}_{\text{k+l elements}}"
alt="" border=0 align=middle></a> </td>
<td>
<b>\overbrace{}^{}</b> and <b>\underbrace{}_{}</b> <br>
(TeXbook page 181, Exercise 18.41) </td>
</tr>
<!-- eighth example: demonstrating \begin{array}
+++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(8)</font> </td>
<td align="left" colspan=3>
<table>
<tr>
<td align="left" colspan=2>
<a href="#preview">
<img id="example8a" onclick="eqntext('example8a')"
src="../cgi-bin/mimetex.cgi?\large\scr{J}^{i0}=+\frac i2
\left[\begin{array}{cc}\sigma_i&0\\0&-\sigma_i\end{array}\right]
\hspace{10}\scr{J}^{ij}=\frac12\varepsilon_{ijk}
\left[\begin{array}{cc}\sigma_k&0\\0&\sigma_k\end{array}\right]"
alt="" border=0 align=middle> </a> </td>
</tr>
<tr> <td> <br> </td> </tr>
<tr>
<td align="left">
<a href="#preview">
<img id="example8b" onclick="eqntext('example8b')"
src="../cgi-bin/mimetex.cgi?\large A\ =\ \normalsize\left(
\begin{array}{c.cccc}&1&2&\cdots&n\\
\hdash1&a_{11}&a_{12}&\cdots&a_{1n}\\
2&a_{21}&a_{22}&\cdots&a_{2n}\\
\vdots&\vdots&\vdots&\ddots&\vdots\\
n&a_{n1}&a_{n2}&\cdots&a_{nn}\end{array}\right)"
alt="" border=0 align=middle></a> </td>
<td>
demonstrating <a href="#array">\begin{array}</a>'s dashed lines </td>
</tr>
</table> </td>
</tr>
<!-- ninth example: block diagonal form using nested arrays
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5><a name="example9">(9)</a></font> </td>
<td align="left" colspan="2">
<a href="#preview">
<img id="example9c" onclick="eqntext('example9c')"
src="../cgi-bin/mimetex.cgi?\large
\left(\large\begin{array}{GC+45}
\varepsilon_x\\\varepsilon_y\\\varepsilon_z\\\gamma_{xy}\\
\gamma_{xz}\\\gamma_{yz}\end{array}\right)\ {\large=}
\ \left[\begin{array}{CC}
\begin{array}\frac1{E_{\fs{+1}x}}
&-\frac{\nu_{xy}}{E_{\fs{+1}x}}
&-\frac{\nu_{\fs{+1}xz}}{E_{\fs{+1}x}}\\
-\frac{\nu_{yx}}{E_y}&\frac1{E_{y}}&-\frac{\nu_{yz}}{E_y}\\
-\frac{\nu_{\fs{+1}zx}}{E_{\fs{+1}z}}&
-\frac{\nu_{zy}}{E_{\fs{+1}z}}
&\frac1{E_{\fs{+1}z}}\end{array} & {\LARGE 0} \\
{\LARGE 0} & \begin{array}\frac1{G_{xy}}&&\\
&\frac1{G_{\fs{+1}xz}}&\\&&\frac1{G_{yz}}\end{array}
\end{array}\right]
\ \left(\large\begin{array}
\sigma_x\\\sigma_y\\\sigma_z\\\tau_{xy}\\\tau_{xz}\\\tau_{yz}
\end{array}\right)"
alt="" border=0 align=middle></a> </td>
<td align="left">
Block diagonal form using nested <b>\begin{array}</b>'s.<br>
Also, note rows aligned across all three arrays.
</td>
</tr>
<!-- tenth example: demonstrating \begin{eqnarray} to align equations
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(10)</font> </td>
<td align="center">
<a href="#preview">
<img id="example10" onclick="eqntext('example10')"
src="../cgi-bin/mimetex.cgi?\large\left.\begin{eqnarray}
x+y+z&=&3\\2y&=&x+z\\2x+y&=&z\end{eqnarray}\right\}"
alt="" border=0 align=middle></a> </td>
<td>
using <a href="#array">\begin{eqnarray}</a> to align equations </td>
</tr>
<!-- eleventh example: demonstrating commutative diagram
using \longxxxarrow[] and \begin{array}
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(11)</font> </td>
<td align="center">
<a href="#preview">
<img id="example11" onclick="eqntext('example11')"
src="../cgi-bin/mimetex.cgi?\Large\begin{array}{rccclBCB}
&f&\longrightarrow[75]^{\alpha:{\normalsize f\rightarrow g}}&g\\
\large\gamma&\longdownarrow[50]&&\longdownarrow[50]&\large\gamma\\
&u&\longrightarrow[75]_\beta&v\end{array}"
alt="" border=0 align=middle></a> </td>
<td>
commutative diagram using <a href="#array">\begin{array}</a> </td>
</tr>
<!-- twelfth example: demonstrating \picture
+++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(12)</font> </td>
<td align="left">
<a href="#preview">
<img id="example12" onclick="eqntext('example12')"
src="../cgi-bin/mimetex.cgi?\large\hspace{5}\unitlength{1}
\picture(175,100){ (50,50){\circle(100)}
(1,50){\overbrace{\line(46)}^{3$\;\;a}}
(52,50){\line(125)} (50,52;115;2){\mid} (52,55){\longleftar[60]}
(130,56){\longrightar[35]} (116,58){\small r}
(c85,50;80;2){\small\bullet} (c85,36){\small -q} (c165,36){\small q}
(42,29){\underbrace{\line(32)}_{\scriptsize a^2/r\;\;\;}} }"
alt="" border=0 align=middle></a> </td>
<td valign="middle">
mimeTeX <a href="#picture">\picture(size){pic_elems}</a>
"environment", illustrating the image charge <b>- q</b>
for a grounded conducting sphere of radius <b>a</b> with
a charge <b>q</b> at distance <b>r > a</b> outside it. </td>
</tr>
<!-- thirteenth example: demonstrating \picture
+++++++++++++++++++++++++++++++++++++++++++++++++ -->
<tr>
<td>
<font size=5>(13)</font> </td>
<td align="left">
<a href="#preview">
<img id="example13" onclick="eqntext('example13')"
src="../cgi-bin/mimetex.cgi?\small\hspace{10}\unitlength{.75}
\picture(120,220){ (60,200){\circle(120,40)} (0,20){\line(0,180)}
(5,189;0,-30){\pict(110,20){(c20,10;70;2){
\pict(40,20){(20,10){\circle(40,20)}(c10,10)+(c30,10)-}} } }
(119,20){\line(0,180)} (60,20){\circle(120,40;34)}}"
alt="" border=0 align=middle></a> </td>
<td valign="middle"> <a href="#picture">\picture</a> "environment"
illustrating the surface polarization charge induced by a uniform
electric field. Inside the slab of material, the volume polarization
charge clearly vanishes. <br><br> The little
<img src="../cgi-bin/mimetex.cgi?\small\unitlength{.75} \pict(40,20){(20,10)
{\circle(40,20)}(c10,10)+(c30,10)-}" alt="" border=0 align=middle>
dipole image is drawn only once, then multiput across two columns, and
then that result is further multiput down the rows. MimeTeX \picture's
can be used as picture elements in other pictures, nested to any level.
The image at left is picture-in-picture-in-picture. </td>
</tr>
</table>
<!-- font examples
++++++++++++++++++ -->
<!-- font-size-examples-commented-out ---
<br><br>
<h3> Some font examples <font size=5>...</font></a> </h3>
<p> Finally, illustrated below are some examples of fonts and symbols
available with mimeTeX. All symbols and sizes from cmr, cmmi,
cmmib (use <b>\mathbf{ }</b>), cmsy, cmex, bbold (use
<b>\mathbb{ }</b>), rsfs (use <b>\mathscr{ }</b>),
stmary and cyrillic wncyr (use <b>{\cyr }</b> or
<b>\cyr{ }</b>) should be available, but they're not all shown.
And also not shown are various "constructed symbols" like \sqrt,
accents, etc. The illustrated font sizes are numbered 4=\Large,
3=\large and 2=\normalsize (not shown are 7=\Huge, 6=\huge,
5=\LARGE, 1=\small and 0=\tiny). </p>
<h3>cmmi latin uppercase, and lowercase</h3>
<p> <img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$A&4$B&4$C&4$D,&4$a&4$b&4$c&4$d\\
2$\rm~3:~&3$E&3$F&3$G&3$H&3$I&3$J&3$K&3$L,&3$e&3$f&3$g&3$h&3$i&3$j&3$k&3$l\\
2$\rm~2:~&2$M&2$N&2$O&2$P&2$Q&2$R&2$S&2$T&2$U&2$V&2$W&2$X&2$Y&2$Z,&
2$m&2$n&2$o&2$p&2$q&2$r&2$s&2$t&2$u&2$v&2$w&2$x&2$y&2$z}"
alt="" border=0 align=middle> </p>
<h3>calligraphic, and rsfs (<b>\cal{A}, \scr{B}, etc</b>)</h3>
<p> <img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$\calA&4$\calB&4$\calC&4$\calD&4$\calE&4$\calF&4$\calG,&
4$\scrA&4$\scrB&4$\scrC&4$\scrD&4$\scrE&4$\scrF&4$\scrG\\
2$\rm~3:~&3$\calH&3$\calI&3$\calJ&3$\calK&3$\calL&3$\calM&3$\calN&3$\calO&
3$\calP,&
3$\scrH&3$\scrI&3$\scrJ&3$\scrK&3$\scrL&3$\scrM&3$\scrN&3$\scrO&3$\scrP\\
2$\rm~2:~&2$\calQ&2$\calR&2$\calS&2$\calT&2$\calU&
2$\calV&2$\calW&2$\calX&2$\calY&2$\calZ,&
2$\scrQ&2$\scrR&2$\scrS&2$\scrT&2$\scrU&2$\scrV&2$\scrW&
2$\scrX&2$\scrY&2$\scrZ}"
alt="" border=0 align=middle> </p>
<h3>cmmi greek uppercase, and \var lowercase</h3>
<p> <img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$\Gamma&4$\Delta&4$\Theta&4$\Lambda&4$\Xi&4$\Pi&4$\Sigma&
4$\Upsilon&4$\Phi&4$\Psi&4$\Omega,&4$\rm~~&4$\varepsilon&4$\vartheta&4$\varpi&
4$\varrho&4$\varsigma&4$\varphi\\
2$\rm~3:~&3$\Gamma&3$\Delta&3$\Theta&3$\Lambda&3$\Xi&3$\Pi&3$\Sigma&
3$\Upsilon&3$\Phi&3$\Psi&3$\Omega,&~&3$\varepsilon&3$\vartheta&3$\varpi&
3$\varrho&3$\varsigma&3$\varphi\\
2$\rm~2:~&2$\Gamma&2$\Delta&2$\Theta&2$\Lambda&2$\Xi&2$\Pi&2$\Sigma&
2$\Upsilon&2$\Phi&2$\Psi&2$\Omega,&~&2$\varepsilon&2$\vartheta&2$\varpi&
2$\varrho&2$\varsigma&2$\varphi}"
alt="" border=0 align=middle> </p>
<h3>cmmi greek lowercase</h3>
<p> <img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$\alpha&4$\beta&4$\gamma&4$\delta&4$\epsilon&4$\zeta&
4$\eta&4$\theta&4$\iota&4$\kappa&4$\lambda&4$\mu&4$\nu&4$\xi&4$%%\omicron%%&
4$\pi&4$\rho&4$\sigma&4$\tau&4$\upsilon&4$\phi&4$\chi&4$\psi&4$\omega\\
2$\rm~3:~&3$\alpha&3$\beta&3$\gamma&3$\delta&3$\epsilon&3$\zeta&
3$\eta&3$\theta&3$\iota&3$\kappa&3$\lambda&3$\mu&3$\nu&3$\xi&3$%%\omicron%%&
3$\pi&3$\rho&3$\sigma&3$\tau&3$\upsilon&3$\phi&3$\chi&3$\psi&3$\omega\\
2$\rm~2:~&2$\alpha&2$\beta&2$\gamma&2$\delta&2$\epsilon&2$\zeta&
2$\eta&2$\theta&2$\iota&2$\kappa&2$\lambda&2$\mu&2$\nu&2$\xi&2$%%\omicron%%&
2$\pi&2$\rho&2$\sigma&2$\tau&2$\upsilon&2$\phi&2$\chi&2$\psi&2$\omega}"
alt="" border=0 align=middle> </p>
<h3>cmsy symbols at mimeTeX font size 3<br>
<font size="3">(operators shown large are automatically "promoted"<br>
to the larger size in \displaystyle mode)</font> </h3>
<p> <img src="../cgi-bin/mimetex.cgi?\array{3,r$1$\rm~chars~\\
1$\rm~0-15:~&-&\cdot&\times&\ast&\div&\diamond&\pm&\mp&
\oplus&\ominus&\otimes&\oslash&\odot&\bigcirc&\circ&\bullet\\
1$\rm~16-31:~&\asymp&\equiv&\subseteq&\supseteq&\leq&\geq&\preceq&\succeq&
\sim&\approx&\subset&\supset&\ll&\gg&\prec&\succ\\
1$\rm~32-47:~&\leftar&\rightar&\uparr&\downar&\leftrightar&\near&\sear&
\simeq&\Leftar&\Rightar&\Upar&\Downar&\Leftrightar&\nwar&\swar&\propto\\
1$\rm~48-63:~&\prime&\infty&\in&\ni&\triangle&\bigtriangledo&/&\'&
\forall&\exists&\neg&\emptyset&\Re&\Im&\top&\bot\\
1$\rm~64-100:~&\aleph&&\calA&4$.\,.\,.&\calZ&&\cup&\cap&
\uplus&\wedge&\vee&\vdash&\dashv&\lfloor&\rfloor&\lceil\\
1$\rm~101-116:~&\rceil&\lbrace&\rbrace&\langle&\rangle&\mid&\parallel&
\updownar&\Updownar&\setminus&\wr&\surd&\amalg&\nabla&\int&\sqcup\\
1$\rm~117-127:~&\sqcap&\sqsubseteq&\sqsupseteq&\S&\dag&\ddag&\P&\clubsuit&
\Diamond&\Heart&\spadesuit}" alt="" border=0 align=middle> </p>
<h3>a few other cmmi, cmr, stmary and wncyr symbols
at mimeTeX font size 4</h3>
<p> <img src="../cgi-bin/mimetex.cgi?\array{4,r$
1$\rm~cmmi:~&\leftharpoonup&\leftharpoondo&\rightharpoonup&\rightharpoondo&
\triangleright&\triangleleft&\star&\partial&
\flat&\natural&\sharp&\smile&\frown&\ell&\imath&\jmath&\wp&\vec\\
1$\rm~cmr:~&\ss&\ae&\oe&\AE&\OE \\
1$\rm~stmary:~&\moo&\Lbag&\Rbag&\lightning&\llbracket&\rrbracket&
\subsetpluseq&\supsetpluseq&\Yup&\Ydown\\
1$\rm~wncyr:~&\cyr A&\cyr a&\cyr B&\cyr b&\cyr V&\cyr v&\cyr G&\cyr g&
\cyr D&\cyr d&\cyr Dj&\cyr dj&\cyr\=E&\cyr\=e&\cyr Zh&\cyr zh}"
alt="" border=0 align=middle> </p>
--- end-of-font-size-examples-commented-out -->
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SCRIPTS & PLUGINS
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h2> <a name="scripts"> (Ic) Scripts & Plugins </a> </h2>
<p> Some useful scripts that automatically construct
mimeTeX <img> tags for you are illustrated below.
And you can also write your own scripts to simplify
the HTML notation required to incorporate mimeTeX
math images in your pages. </p>
<h3> <a name="plugins">
mimeTeX plugins<font size=5>...</font></a> </h3>
<!-- p> There's no inherent need to repeatedly write the cumbersome
<img> tag illustrated above. You can write your own <a href=
"http://java.sun.com/j2ee/1.4/docs/tutorial/doc/JSPIntro9.html#wp73314"
target="_top">custom tags</a>,
or write a wrapper script around mimeTeX to simplify the
notation. </p -->
<p style="margin-bottom:0"> <!-- For example, -->
The following javascript snippet (based on
<a href="http://www.mathtran.org" target="_top">mathtran</a>'s
<a href="http://www.mathtran.org/js/mathtran_img.js"
target="_top">mathtran_img.js</a>) lets you just write
<b><img alt="mimetex:c=\sqrt{a^2+b^2}"></b>
wherever you want to see <a href="#preview"><img id="imageJS1"
onclick="eqntext('imageJS1')" src="../cgi-bin/mimetex.cgi?
\normalsize c=\sqrt{a^2+b^2}" alt="" border=0
style="Vertical-Align:-1px"></a> </p>
<pre class="medium" style="margin-top:0;margin-bottom:0"
> <script type="text/javascript">
<!--
// Create a namespace to hold variables and functions
mimetex = new Object();
// Change this to use your server
mimetex.imgSrc = "http://www.<i>yourdomain</i>.com/cgi-bin/mimetex.cgi?";
// Transform the whole document: add src to each img with
// alt text starting with "mimetex:", unless img already has a src.
mimetex.init = function () {
if (! document.getElementsByTagName) return;
var objs = document.getElementsByTagName("img");
var len = objs.length;
for (i=0; i<len; i++) {
var img = objs[i];
if (img.alt.substring(0,8) == 'mimetex:')
if (!img.src) {
var tex_src = img.alt.substring(8);
img.src = mimetex.imgSrc + encodeURIComponent(tex_src);
// Append TEX to the class of the IMG.
img.className +=' tex'; }
}
mimetex.hideElementById("mimetex.error"); }
// Utility function
mimetex.hideElementById = function (id) {
var obj = document.getElementById(id);
if (obj) obj.style.display = 'none'; }
// resolve a cross-browser issue (see <a href="http://scottandrew.com/weblog/articles/cbs-events" target="_top">CBS events</a>)
mimetex.addEvent = function (obj, evType, fn, useCapture) {
if (obj.addEventListener) { //For Mozilla.
obj.addEventListener(evType, fn, useCapture);
return true; }
else if (obj.attachEvent) { //For Internet Explorer.
var r = obj.attachEvent("on"+evType, fn);
return r; }
}
// Initialize after entire document is loaded
mimetex.addEvent(window, 'load', mimetex.init, false);
-->
</script></pre>
<p style="margin-bottom:0">
Bulletin boards, wikis, etc, can also incorporate mimeTeX images
with short scripts. For example, if you're using
<a href="http://www.phpbb.com" target="_top">phpBB2</a>, then
<a href="http://www.themathforum.com/" target="_top">Jameson</a>
contributed the following typical one-line mod that lets you write
<b>[tex] c=\sqrt{a^2+b^2} [/tex]</b> to obtain the
same <a href="#preview"><img id="imageJS2"
onclick="eqntext('imageJS2')" src="../cgi-bin/mimetex.cgi?
\normalsize c=\sqrt{a^2+b^2}" alt="" border=0
style="Vertical-Align:-1px"></a> image illustrated above </p>
<pre class="medium" style="margin-top:0;margin-bottom:0"
> #--------[open]-----------------------------------------------------
/includes/bbcode.php
#--------[find]-----------------------------------------------------
// Remove our padding from the string..
#--------[before, add]----------------------------------------------
$text = preg_replace('/\[tex\](.*?)\[\/tex\]/ie',
"'<img src=\"/cgi-bin/mimetex.cgi?'.rawurlencode('$1').'\" align=\"middle\" />'",
$text);</pre>
<p class="continue" style="margin-top:0"> If you're using
<a href="http://www.phpbb.com" target="_top">phpBB3</a>,
then no mod is even needed.
Just click Postings from the Administrator Control Panel,
and add the custom BBCode <b>[tex]{TEXT}[/tex]</b>
with the HTML replacement
<b><img src="/cgi-bin/mimetex.cgi?{TEXT}" align=middle></b></p>
<p> Similarly, <a href="http://www.pmwiki.org/" target="_top">PmWiki</a>
also has a
<a href="http://www.pmwiki.org/wiki/Cookbook/MimeTeX" target="_top">
mimeTeX plugin</a> that lets you just write
<b>{$ f(x)=\int_{-\infty}^xe^{-t^2}dt $}</b>
to obtain that same image. Several other packages
also have similar mimeTeX plugins: </p>
<center><table>
<tr> <td align=center> <u> <b>Package</b> </u> </td>
<td> </td>
<td align=center> <u> <b>Plugin</b> </u> </td>
</tr>
<tr> <td align=center>
<a href="http://www.pmwiki.org" target="_top">
PmWiki</a> </td> <td> </td>
<td align=center>
<a href="http://www.pmwiki.org/wiki/Cookbook/MimeTeX"
target="_top">mimeTeX plugin</a> </td> </tr>
<tr> <td align=center>
<!-- a href="http://www.wikimedia.org/wiki/Main_Page" -->
<!-- a href="http://www.wikimediafoundation.org/wiki/Main_Page" -->
<a href="http://www.mediawiki.org/wiki/MediaWiki"
target="_top">MediaWiki</a> </td>
<td align=center> </td>
<td align=center>
<!-- a href="http://meta.wikimedia.org/wiki/Mimetex_alternative" -->
<a href="http://www.mediawiki.org/wiki/Mimetex_alternative"
target="_top">"mimeTeX alternative"</a> </td> </tr>
<!-- ***redirect loop***
<tr> <td align=center>
<a href="http://www.unitorganizer.com/mathwiki/index.php/Main_Page"
target="_top">MathWiki</a> </td> <td> </td>
<td align=center> <a href=
"http://www.unitorganizer.com/mathwiki/index.php/MimetexParser"
target="_top">"mimeTeX Parser"</a> </td> </tr>
-->
<tr> <td align=center>
<a href="http://forums.punbb.org/" target="_top">PunBB</a> </td>
<td> </td> <td align=center>
<a href="http://www.math-linux.com/spip.php?article44"
target="_top">mimeTeX plugin</a> </td> </tr>
<tr> <td align=center>
<!-- a href="http://www.sixapart.com/movabletype/" -->
<a href="http://www.movabletype.com/"
target="_top">Movable Type</a> </td> <td> </td>
<td align=center> <a href=
"http://www.unitorganizer.com/myblog/2006/08/creating_equations_in_movable.html"
target="_top">mimeTeX plugin</a> </td> </tr>
<tr> <td align=center>
<a href="http://wordpress.org/" target="_top">WordPress</a> </td>
<td> </td> <td align=center> <a href=
"http://www.anlak.com/?page_id=66" target="_top">
<!-- "http://sixthform.info/steve/wordpress/index.php?p=13&page=2" -->
mimeTeX plugin</a> <!-- (see item 9) --> </td> </tr>
<tr> <td align=center>
<a href="http://www.joomla.org/"
target="_top">Joomla</a> </td> <td> </td>
<td align=center> <a href=
"http://extensions.joomla.org/component/option,com_mtree/task,viewlink/link_id,5932/Itemid,35/"
target="_top">mimeTeX plugin</a> </td> </tr>
<tr> <td align=center>
<a href="http://mambo-foundation.org/"
target="_top">Mambo</a> </td> <td> </td>
<td align=center> <a href=
"http://webscripts.softpedia.com/script/Modules/Joomla-Mambo-Modules/MimeTeX-Bot-9250.html"
target="_top">"mimeTeX bot"</a> </td> </tr>
<!--- dead links --->
<!-- tr> <td align=center>
<a href="http://www.phpbb.com" target="_top">phpBB</a> </td>
<td> </td> <td align=center>
<a href=
"http://www.themathforum.com/math/showthread.php?p=621#post621"
target="_top">mimeTeX plugin</a> </td> </tr -->
<!-- tr> <td align=center>
<a href="http://www.mamboserver.com/" target="_top">Mambo</a> </td>
<td> </td> <td align=center>
<a href="http://mamboxchange.com/projects/mimetexbot/"
target="_top">"mimeTeX bot"</a> </td> </tr -->
</table></center>
<p> <b>Please note:</b> If you're writing your own plugin for mimeTeX,
please don't write php code using <b>system( )</b>, or any other
shell escape mechanism, just to cache images. Use mimeTeX's
<b>-DCACHEPATH=\"<i>path/</i>\"</b>
<a href="#options">compile option</a> instead.
<b>system( )</b> raises security
issues, either real ones if used carelessly, or just in the minds of
system administrators. Either way, I've received many emails from
people unable to use mimeTeX because of unnecessary <b>system( )</b>
calls prohibited by security-conscious sysadmins. MimeTeX itself poses
minimal risk when used as illustrated above, but you're responsible
for any plugin/wrapper script you write around it. </p>
<h3> <a name="valignment">
Vertical alignment<font size=5>...</font></a> </h3>
<p> An image like
<a href="#preview"><img id="imageAV1" onclick="eqntext('imageAV1')"
src="../cgi-bin/mimetex.cgi?
\normalsize f(x)=\int\limits_{-\infty}^xe^{-t^2}dt"
alt="" border=0 align=middle></a>
doesn't look as good as the same image
<a href="#preview"><img id="imageAV2" onclick="eqntext('imageAV2')"
src="../cgi-bin/mimetex.cgi?
\normalsize f(x)=\int\limits_{-\infty}^xe^{-t^2}dt"
alt="" border=0 style="Vertical-Align:-26px"></a>
that's vertically aligned with your surrounding text.
Along with several standard
<a href="http://www.w3.org/Protocols/rfc2616/rfc2616-sec14.html">
HTTP header fields</a>, mimeTeX also emits a special
<b>Vertical-Align: –<i>nn</i></b>
header, where <b>–<i>nn</i></b> is the number of pixels
(usually negative as illustrated) needed for a
<b>style="Vertical-Align: –<i>nn</i> px"</b>
attribute in the <b><img></b> tag used to
render your expression. This Vertical-Align: header
is obtained by placing the directive <b>\depth</b>
anywhere in your expression. </p>
<p> But mimeTeX's special Vertical-Align: header
is unrecognized and ignored by your browser. You have to get the
header, interpret it, and write the corresponding <img> tag.
The only feasible way to do all this is using a scripting language,
as illustrated by the following, rather naive, php code </p>
<pre class="medium" style="margin-top:.5em;margin-bottom:.5em"
> <?php
$mimetexurl = "http://www.<i>yourdomain</i>.com/cgi-bin/mimetex.cgi?";
function verticalalign( $expression ) {
global $mimetexurl;
// note: curl_init() stops at the first whitespace char in $url argument
$expression = ereg_replace(" ","~",$expression); // so remove whitespace
$url = $mimetexurl . "\depth~" . $expression;
$valign = "0";
$ch = curl_init( $url );
curl_setopt( $ch, CURLOPT_RETURNTRANSFER, true );
curl_setopt( $ch, CURLOPT_HEADER, true );
$gif = curl_exec( $ch );
$errno = curl_errno( $ch );
curl_close( $ch );
if ( $errno == 0 ) {
$fields = explode("Vertical-Align:",$gif);
$vfield = trim($fields[1]);
$fldlen = strspn($vfield,"+-0123456789");
$valign = substr($vfield,0,$fldlen); }
return $valign;
}
function mimetextag( $expression ) {
global $mimetexurl;
$valign = verticalalign($expression);
$url = $mimetexurl . "\depth~" . $expression;
echo ' <img src="',$url,'" ';
echo ' style="Vertical-Align:',$valign,'px" ';
echo ' alt="" border=0>', "\n";
}
?></pre>
<p> Now you can write
<?php mimetextag('\frac12\left(a^2+b^2\right)'); ?>
wherever you want to see
<a href="#preview"><img id="imageAV5" onclick="eqntext('imageAV5')"
src="../cgi-bin/mimetex.cgi?
\normalsize\frac12\left(a^2+b^2\right)"
alt="" border=0 style="Vertical-Align:-7px"></a>
correctly aligned. Note that the php code automatically
prepends <b>\depth</b> to your expression for you.
<!-- Besides making you escape backslashes
(each \ must be written \\), -->
(Also note that this code calls mimeTeX twice to render each
expression, once to get the Vertical-Align: header and build
an <img> tag, and then again to render that tag.
If you're a good php programmer and write better code,
please email me a copy.) </p>
<p> If you're using mimeTeX's
<b>-DCACHEPATH=\"<i>path</i>/\"</b>
<a href="#options">compile option</a>, you can request
that all images be cached with Vertical-Align: headers,
whether or not they contain the \depth directive. Prefix your
<b><i>path</i>/</b> with a leading <b>%</b> and write
<b>-DCACHEPATH=\"%<i>path</i>/\"</b> instead.
That leading <b>%</b> won't become part of your cache
directory's <b><i>path</i>/</b>, but it will signal mimeTeX
to cache headers along with each image. (In this case,
the directive <b>\nodepth</b> suppresses
mimeTeX's header caching for that image.)
<!-- Otherwise, the Vertical-Align: information is lost,
and attempts to align cached images will fail. --> </p>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
GPL
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h2> <a name="gpl"> (Id) GPL License </a> </h2>
<font color="black">
<b>"</b><i>My grandfather once told me there are two kinds of people:<br>
    Those who do the work and those who take the credit.<br>
    He told me to try to be in the first group; there was much
less competition.</i><b>"</b><br>
Indira Gandhi, the late Prime Minister of India</font> <br>
<p> MimeTeX's copyright is registered by me with the US Copyright Office,
and I hereby license it to you under the terms and conditions of the
<a href="http://www.gnu.org/licenses/gpl.html" target="_top">GPL</a>.
There is no official support of any kind whatsoever,
and you use mimeTeX entirely at your own risk, with no guarantee
of any kind, in particular with no warranty of merchantability. </p>
<p> By using mimeTeX, you warrant that you have read, understood
and agreed to these terms and conditions, and that you <!-- are at least
18 years of age and --> possess the legal right and ability to enter
into this agreement and to use mimeTeX in accordance with it. </p>
<p> Hopefully, the law and ethics regarding computer programs will
evolve to make this kind of obnoxious banter unnecessary.
In the meantime, please forgive me my paranoia. </p>
<p> To protect your own intellectual property, I recommend (both are pdf)
<a href="http://www.copyright.gov/circs/circ01.pdf"
target="_top">Copyright Basics</a> from The Library of Congress,
in particular <a href="http://www.copyright.gov/circs/circ61.pdf"
target="_top">Circular 61</a>, Copyright Registration for
Computer Programs.
<!-- and similarly,
<a href="http://www.abanet.org/intelprop/comm106/106copy.html"
target="_top">Copyright Basics</a> from The American Bar Association. -->
Very briefly, download
<a href="http://www.copyright.gov/forms/formtxi.pdf">Form TX</a>
and follow the included instructions.
In principle, you automatically own the copyright
to anything you write the moment it's on paper. In practice,
if the matter comes under dispute, the courts look _very_ favorably
on you for demonstrating your intent by registering the copyright.
<!-- For example, courts will stop unauthorized use of unregistered
material, but monetary damages are awarded _only_ if you
register the copyright before infringement occurs. --> </p>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SECTION II. BUILDING MIMETEX
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h1> <a name="build"> (II) Building mimeTeX </a> </h1>
<!-- <center> -->
<table border="0" cellpadding="0" cellspacing="0">
<tr><td><center><hr size="2">Very quickly --- download
<a href="http://www.forkosh.com/mimetex.zip">
<!-- jfa <a href="ftp://ftp.tex.ac.uk/tex-archive/support/mimetex/mimetex.zip"></a> -->
mimetex.zip</a> and then type
<table border="0" cellpadding="0" cellspacing="0">
<tr align="left">
<td><img src="../cgi-bin/mimetex.cgi?\hspace{50}" alt="" border=0></td>
<td><b>unzip mimetex.zip</b> <br>
<b>cc -DAA mimetex.c gifsave.c -lm -o mimetex.cgi</b></td>
</tr></table>
Now <b>mv</b> mimetex.cgi to your <b>cgi-bin/</b>
directory, and you're all done. <br>
Read the rest of this section for more detailed
information.<hr size="2"></center></td>
<td><img src="../cgi-bin/mimetex.cgi?\hspace{150}" alt="" border=0></td>
</tr></table>
<!-- </center> -->
<p> I've built and run mimeTeX under Linux and NetBSD using gcc. The source
code is ansi-standard C, and should compile and run under all
environments without change. Instructions below
are for Unix. Modify them as necessary for your particular situation
(note the -DWINDOWS switch if applicable). </p>
<h2> <a name="compile"> (IIa) Download and Compile </a> </h2>
<p> The steps needed to download and compile mimeTeX are </p>
<ul>
<li> Download and unzip
<a href="http://www.forkosh.com/mimetex.zip">
<!-- jfa <a href="ftp://ftp.tex.ac.uk/tex-archive/support/mimetex/mimetex.zip"></a> -->
mimetex.zip</a> in any convenient working directory.
Your working directory should now contain <center>
<table cellpadding=0 cellspacing=0>
<tr><td width=100>README</td> <td>mimeTeX release notes</td></tr>
<tr><td>COPYING</td> <td>GPL license, under which you may use
mimeTeX</td></tr>
<tr><td>mimetex.c</td> <td>mimeTeX source program and all required
functions</td></tr>
<tr><td>mimetex.h</td> <td>header file for mimetex.c (and for
gfuntype.c)</td></tr>
<tr><td>gfuntype.c</td> <td>parses output from <b>gftype -i</b>
and writes bitmap data</td></tr>
<tr><td>texfonts.h</td> <td>output from several <b>gfuntype</b> runs,
needed by mimetex.c</td></tr>
<tr><td>gifsave.c</td> <td>gif library by Sverre H. Huseby
<a href="http://shh.thathost.com"
target="_top">http://shh.thathost.com</a>
</td></tr>
<tr><td>mimetex.html</td> <td>this file, the mimeTeX
user's manual</td></tr>
</table></center>
Note: all files use Unix line termination, i.e., linefeeds
(without carriage returns) signal line endings. Conversion for
Windows PC's, Macs, VMS, etc, can usually be accomplished by
unzip's -a option, i.e., unzip -a mimetex.zip
<br> <br> </li>
<li> To compile an executable that emits anti-aliased gif images
(which is recommended for most uses), just type the following
command from the Unix shell <br>
<b>cc -DAA mimetex.c gifsave.c -lm -o mimetex.cgi</b> </li>
<li> Or, to compile an executable that emit gif images
without anti-aliasing <br>
<b>cc -DGIF mimetex.c gifsave.c -lm -o mimetex.cgi</b> </li>
<li> Alternatively, to compile an executable that emits mime xbitmaps<br>
<b>cc -DXBITMAP mimetex.c -lm -o mimetex.cgi</b> </li>
<li> Compile Notes: <ul>
<li> If (and only if) you're compiling a Windows executable with
the <b>-DAA</b> or <b>-DGIF</b> option (but not -DXBITMAP), then
add <b>-DWINDOWS</b> . For example, <br>
<nobr> <b>gcc -DAA -DWINDOWS
mimetex.c gifsave.c -lm -o mimetex.exe</b> </nobr> <br>
The above Unix-like syntax works with
<a href="http://www.mingw.org" target="_top">MinGW</a> and
<a href="http://www.delorie.com/djgpp/" target="_top">djgpp</a>
Windows compilers, but probably not with most others,
where it's only intended as a "template". <br>
Explanation: mimeTeX writes gif bytes directly to stdout, as usual
for cgi's. But Windows treats stdout as a character stream,
interpreting any hex 0A byte as an <lf>, and automatically
preceding it with a spurious hex 0D <cr> byte. The
-DWINDOWS switch compiles in a non-portable, Windows-specific
_setmode() call that sets stdout to binary mode. </li>
<li> If you're compiling for Windows and would prefer
to install mimeTeX as a Win32 DLL, see the
<a href="http://www.codeproject.com/dotnet/Eq2Img.asp">
Code Project</a> developed by
<a href="http://www.shitalshah.com">Shital Shah</a>, and
download <a href="http://www.shitalshah.com/dev/eq2img_all.zip">
eq2img_all.zip</a> containing Shital's latest code. </li>
<li> If you install mimeTeX on one server and try to use it
from another, you may instead see messages like <br>
<img src="../cgi-bin/mimetex.cgi?\message{3}"
alt="" align="middle" border=0> <br>
In this case, compile mimetex.cgi with the -DNOREFCHECK switch,
<i>e.g.</i>,<br>
<nobr> <b>cc -DAA -DNOREFCHECK
mimetex.c gifsave.c -lm -o mimetex.cgi</b> </nobr> <br>
and read the -DREFLEVELS=<i>n</i> discussion under
<a href="#options">compile options</a> below. </li>
<!-- <li> If you're compiling on Sun or VMS, and see about a zillion
irritating warnings, try adding <b>-DSIGNEDCHAR</b>
(for VMS, that's cc/define=(AA,SIGNEDCHAR) mimetex.c) </li> -->
</ul> <br> </li>
<li> The gfuntype program is only needed if you plan to change the
font information in texfonts.h, as explained in
<a href="#fonts">Appendix IVa</a> below.
In that case, compile gfuntype with the command <br>
<b>cc gfuntype.c mimetex.c -lm -o gfuntype</b> </li>
</ul>
<p> That's all there is to compiling mimeTeX.
Several other optional compile-line <a href="#options">options</a>
available for mimetex.c are discussed below. </p>
<p> Immediately after compiling mimeTeX, test your new executable
by typing <b>./mimetex.cgi "x^2+y^2"</b>
from the Unix shell (or <b>mimetex "x^2+y^2"</b>
from the Windows Command Prompt), which should emit
two "ascii rasters" something like the following </p> <pre>
Ascii dump of bitmap image... Hex dump of colormap indexes...
...........**....................**... ..........1**1...................1**1..
..........*..*......*...........*..*.. ..........*23*......*............*23*..
.............*......*..............*.. .............*......*...............*..
....****.....*......*.....*..*.....*.. ...1****....2*......*.....2*..*....2*..
...*.*.*....*.......*....**..*....*... ...*.*.*...1*.......*.....**..*...1*...
.....*.....*.*..********..*..*...*.*.. ....1*1...2*.*..********..3*..*..2*.*..
.....*....****......*.....*..*..****.. ....2*2...****......*......*12*..****..
..*.*.*.............*.....*.*......... ..*.*.*.............*......*.*2........
...****.............*.....***......... ..1****.............*......***.........
....................*.......*......... ....................*........*.........
.........................*.*.......... ..........................*.*1.........
.........................**........... ..........................**1..........
The 5 colormap indexes denote rgb vals...
.-->255 1-->196 2-->186 3-->177 *-->0</pre>
<p class="continue"> <b>(</b>The right-hand illustration shows asterisks
in the same positions as the left-hand one, along with anti-aliased
grayscale colormap indexes assigned to neighboring pixels, and with
the rgb value for each index.<b>)</b> Just typing <b>./mimetex.cgi</b>
without an argument should produce ascii rasters for the default
expression <b>f(x)=x^2</b>. If you see these two ascii rasters then
your binary's good. Otherwise, you must find and fix the problem
before proceeding. </p>
<h2> <a name="install"> (IIb) Install </a> </h2>
<p> Once you've successfully tested mimetex.cgi from the Unix shell
(or mimetex.exe from the Windows Command Prompt),
the steps needed to install mimeTeX are </p>
<ul>
<li> <b>mv</b> mimetex.cgi (or <b>move</b> mimetex.exe)
to your server's <b>cgi-bin/</b> directory, wherever cgi
programs are expected. </li>
<li> Now you may need to <b>chmod 755 mimetex.cgi</b>
and/or <b>chown</b> it, too, depending on your server's
requirements. Contact your system administrator or ISP
if you're not already familiar with this information. </li>
<li> Once mimetex.cgi is moved to your server's <b>cgi-bin/</b>
directory, with permissions and owner set as necessary,
you're all done. </li>
</ul>
<p> Immediately after installing mimeTeX, test your new mimetex.cgi
by typing a url into your browser's locator window something like <br>
<b>http://www.<i>yourdomain</i>.com/cgi-bin/mimetex.cgi?x^2+y^2</b> <br>
which should display
<img src="../cgi-bin/mimetex.cgi?\normalsize x^2+y^2" alt="" border=0
style="Vertical-Align:-3px">
in the upper-left corner of your window,
just like clicking this link does, which tests my mimetex.cgi, <br>
<a href="http://www.forkosh.com/cgi-bin/mimetex.cgi?x^2+y^2"
target="_top">http://www.forkosh.com/cgi-bin/mimetex.cgi?x^2+y^2</a><br>
If you see the same <img src="../cgi-bin/mimetex.cgi?
\normalsize x^2+y^2" alt="" border=0 style="Vertical-Align:-3px">
image from the <b><i>yourdomain</i></b> link, then you've completed
a successful mimeTeX installation. </p>
<p> If you don't see the image, then your installation failed.
If your earlier post-compilation "ascii raster" test
succeeeded, then the problem is probably some server-specific
installation requirement. First make sure you installed mimetex.cgi
in the correct <b>cgi-bin/</b> directory, set the correct <b>chmod</b>
permissions, and typed the correct url into your browser's locator
window. Then contact your system administrator or ISP,
and ask how to install cgi programs on your server. </p>
<p> After you've successfully installed mimeTeX, and both preceeding tests
have succeeded, you can optionally "regression test"
all mimeTeX features as follows: </p>
<ul>
<li> <b>mv</b> mimetex.html (this file) to your server's
<b>htdocs/</b> directory </li>
<li> Paths to <b>cgi-bin/</b> and <b>htdocs/</b> directories
are typically <b><i>path</i>/www/cgi-bin/</b> and
<b><i>path</i>/www/htdocs/</b>, so I set up mimtex.html
to access mimetex.cgi from the relative path <b>../cgi-bin/</b>.
If your directories are non-conforming, you may have to edit
the few dozen occurrences of <b>../cgi-bin/mimetex.cgi</b>
in your mimetex.html page. Sometimes a suitable symlink works;
if not, you'll have to edit. Globally changing
<b>../cgi-bin/mimetex.cgi</b> usually works. </li>
<li> Now visit your page
<b>http://www.<i>yourdomain</i>.com/mimetex.html</b> </li>
<li> Once your mimetex.html displays properly, you can assume
everything is working, and can begin authoring html documents
using mimetex.cgi to render your own math. </li>
</ul>
<p> That's all there is to installing mimeTeX. </p>.
<h2> <a name="options"> (IIc) Additional Compile-Line Options </a></h2>
<p> In addition to -DAA or -DGIF or -DXBITMAP (along with -DWINDOWS
when necessary) on the mimetex.c compile line, as discussed above,
you may also optionally include the following -D switches,
whose functionality is discussed below. </p>
<dl>
<dt> <b>-DAA</b> </dt>
<dd> As already discussed, -DAA turns on anti-aliasing.
It also sets default values for individual anti-aliasing
parameters discussed below. If you specify -DAA
then you needn't specify the individual parameters unless
you want to override the defaults. <br>
Anti-aliasing can't be applied to mime
xbitmaps, so don't specify -DAA if you also specify -DXBITMAP. <br>
And mimeTeX's anti-aliasing only works
well on white (or light gray) backgrounds. Your html file
probably contains a <body> tag of the form
<body bgcolor="#ffffff" text="#000000">
which specifies black text on a pure white background.
The background can be grayed down to maybe bgcolor="#e7e7e7",
but much darker will begin to show white rings around
mimeTeX's anti-aliased characters. This page is displayed
using bgcolor="#ffffff". </dd>
<dt> <b>-DCENTERWT=<i>n</i> <br>
-DADJACENTWT=<i>j</i> <br>
-DCORNERWT=<i>k</i></b> </dt>
<dd> MimeTeX currently provides a lowpass filtering
algorithm for anti-aliasing, which is applied to the
existing set of bitmap fonts. This lowpass filter applies
weights <img src="../cgi-bin/mimetex.cgi?
\tiny\begin{pmatrix}1&2&1\\2&\,8\,&2\\1&2&1\end{pmatrix}"
alt="" border=0 align=middle> to neighboring pixels. The defaults
weights are CENTERWT=8, ADJACENTWT=2 and CORNERWT=1,
which you can adjust to control anti-aliasing. </dd>
<dt> <b>-DCACHEPATH=\"<i>path/</i>\"</b> </dt>
<dd> This option saves each rendered image to a file in directory
<b><i>path/</i></b>, which mimeTeX reads rather than
re-rendering the same image every time it's given
the same LaTeX expression. Sometimes mimeTeX disables caching,
e.g., expressions containing <b>\input{ }</b> are
re-rendered since the contents of the inputted file may have
changed. If compiled without <b>-DCACHEPATH=\"<i>path/</i>\"</b>
mimeTeX always re-renders expressions. This usually isn't too
cpu intensive, but if you have unusually high hit rates then
image caching may be helpful. The <b><i>path/</i></b>
is relative to mimetex.cgi, and must be writable by it.
Files created under <b><i>path/</i></b> are named
<b><i>filename</i>.gif</b>, where <b><i>filename</i></b>
is the 32-character MD5 hash of your LaTeX expression. <br>
If you're also using mimeTeX's
<a href="#valignment">Vertical-Align:</a> feature, prefix your
<b><i>path</i>/</b> with a leading <b>%</b> and write
<b>-DCACHEPATH=\"%<i>path</i>/\"</b>
instead. That leading <b>%</b> won't become part of
your cache directory's <b><i>path</i>/</b>, but it will signal
mimeTeX to cache headers along with each image.
Otherwise, the Vertical-Align: information is lost,
and attempts to align cached images will fail. <br>
When caching a new image, mimeTeX also
updates the file <b><i>path/</i>mimetex.log</b> containing
a timestamp, filename and LaTeX expression for each new file
created. A sample entry looks like
<pre>---------------------------------------------------------------------
2008-09-07:11:29:53am f8ccc8dd93c8eeb1d9c40b353ef781e0.gif
\LARGE x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
---------------------------------------------------------------------</pre></dd>
<dt><b>-DDEFAULTSIZE=<i>n</i></b> </dt>
<dd> MimeTeX currently has eight font sizes numbered 0-7,
and always starts out in DEFAULTSIZE, whose default value is 3.
Specify -DDEFAULTSIZE=2 on the compile line if you prefer
mimeTeX to start in default size 2, etc. </dd>
<dt><b>-DDISPLAYSIZE=<i>n</i></b> </dt>
<dd> By default, operator limits like <b>\int_a^b</b> are rendered
<b>\textstyle</b> <a href="#preview">
<img id="displaysize1" onclick="eqntext('displaysize1')"
src="../cgi-bin/mimetex.cgi?
\normalsize\displaystyle\smashmargin{2}{\int\nolimits_a}^b"
alt="" border=0 align=middle></a> at font sizes <b>\normalsize</b>
and smaller, and rendered <b>\displaystyle</b> <a href="#preview">
<img id="displaysize2" onclick="eqntext('displaysize2')"
src="../cgi-bin/mimetex.cgi?\large\int_a^b"
alt="" border=0 align=middle></a> at font sizes <b>\large</b> and
larger. This default corresponds to <b>-DDISPLAYSIZE=3</b>,
which you can adjust; e.g., <b>-DDISPLAYSIZE=0</b> always defaults
to <b>\displaystyle</b>, and <b>99</b> (or any large number)
always defaults to <b>\textstyle</b>. Note that explicit
<b>\textstyle</b>, <b>\displaystyle</b>, <b>\limits</b> or
<b>\nolimits</b> directives in an expression always override
the <b>DISPLAYSIZE</b> default. </dd>
<dt><b>-DGAMMA=<i>gammacorrection</i></b> </dt>
<dd> Applies <b><i>gammacorrection</i></b> to antialiased
gif images. Default is 1.25 (rather than the standard 2.2).
Specify 0.0 to turn off gamma correction (1.0 makes no
gamma correction but doesn't actually turn it off). </dd>
<dt><b>-DINPUTOK</b> </dt>
<dd> To enhance mimeTeX's security, the
<a href="#input">\input{ }</a> command is disabled
by default when you compile mimeTeX. Note that the
<a href="#counter">\counter</a> and
<a href="#environment">\environment</a> commands are
also disabled by default, and <b>-DINPUTOK</b> enables
all three commands simultaneously. (Compile mimeTeX with
<b>-DCOUNTEROK</b> to enable only \counter, or with
<b>-DENVIRONOK</b> to enable only \environment.) <br>
Compiling mimeTeX with the
<b>-DINPUTOK</b> switch enables \input{ } for all users,
subject only to your <b>-DPATHPREFIX</b> restrictions,
discussed below. And the following two switches give you
additional control over \input{ }'s usage... </dd>
<dt> <b>-DINPUTPATH=\"<i>path</i>\" <i>-or-</i><br>
-DINPUTPATH=\"<i>path1,path2,etc</i>\"</b> </dt>
<dd> Permits <b>\input{<i>filename</i>}</b> for specific
<i>filename</i>'s, even when the \input{ } command
is otherwise disabled (for security). <br>
If INPUTPATH is defined, mimeTeX
performs a case-insensitive test of \input{ }'s
<i>filename</i> argument, to verify that it contains
the authorized 'path' as a substring. <br>
If given several 'path's (second form)
then <i>filename</i> must contain either 'path1' or
'path2', or etc, as a (case-insensitive) substring. <br>
If <i>filename</i> doesn't contain
a substring matching any of these path(s), then mimeTeX emits
an error message image instead of reading <i>filename</i>. </dd>
<dt> <b>-DINPUTREFERER=\"<i>domain</i>\" <i>-or-</i><br>
-DINPUTREFERER=\"<i>domain1,domain2,etc</i>\"</b> </dt>
<dd> Permits <b>\input{ }</b> for users from specific
<i>domain</i>'s, even when the \input{ } command
is otherwise disabled (for security). <br>
If INPUTREFERER is defined
but INPUTOK is not defined, then mimeTeX
performs a case-insensitive test of the user's
HTTP_REFERER environment variable, to verify that it contains
the authorized 'domain' as a substring. <br>
If given several 'domain's (second form)
then HTTP_REFERER must contain either 'domain1' or
'domain2', or etc, as a (case-insensitive) substring. <br>
If HTTP_REFERER doesn't contain
a substring matching any of these domain(s), then mimeTeX renders
an error message image instead of reading <i>filename</i>. <br>
Finally, if HTTP_REFERER is not found as
an environment variable, then mimeTeX renders the
same error message image. </dd>
<dt><b><a id="newcommands">-DNEWCOMMANDS=\"<i>newcommands.h</i>\"</a>
</b> </dt>
<dd> LaTeX-like <b>\newcommand</b>'s are available in mimeTeX,
via the following facility to help you define your
own "new commands" during compilation. Edit a file named
newcommands.h (or any filename you specify between
<b>\"...\"</b>'s with the <b>-DNEWCOMMANDS=\"<i>filename</i>\"</b>
switch). For newcommands _without_
arguments, your file should contain one or more lines
like the following examples:
<pre>{ "\\iint", NULL, "{\\int\\int}" },
{ "\\rightleftharpoons",NULL,"{\\rightharpoonup\\atop\\leftharpoondown}" },
{ "\\ldots", NULL, "{\\Large.\\hspace1.\\hspace1.}" },
{ "\\cr", NULL, "\\\\" },
{ "\\neq", NULL, "{\\not=}" },</pre>
For newcommands _without_ arguments, as illustrated above,
the general form of each line in your file should be
<b>{ "\\<i>command</i>", NULL, "{<i>replacement</i>}" },</b>
Don't forget a comma at the end of every line,
and write a double backslash <b>\\</b>
between quotes <b>"...\\..."</b> wherever you actually
want a single backslash <b>\</b>. The only effect
of the above examples (without arguments) is simple string
substitution, i.e., every occurrence of <b>\<i>command</i></b>
is replaced by <b>{<i>replacement</i>}</b>. Note that the
<b>{ }</b>'s surrounding <b><i>replacement</i></b>
aren't required, but are usually a good idea (the case
of <b>\cr</b> illustrated above is one exception, where
<b>{ }</b>'s would defeat the purpose).
<br> To define newcommands _with_ arguments,
change the <b>NULL</b> after the <b>\\<i>command</i></b>
to define your command's arguments as illustrated by the
following example:
<pre>{ "\\lvec", "2n", "#2_1,\\cdots,#2_{#1}" },</pre>
In this case the <b>NULL</b> has been replaced by <b>"2n"</b>
(note the mandatory surrounding quotes <b>"..."</b>). This
example corresponds to the similar one discussed in TLC2 on
page 845. The first character inside the <b>"..."</b>s is
<b>2</b> indicating the number of arguments,
which may be <b>1</b> thru <b>9</b>. If there are no
subsequent characters followng this one, then all arguments are
mandatory, enclosed in <b>{ }</b>'s as usual. Otherwise,
any subsequent characters signal that the first argument
is optional, enclosed in <b>[ ]</b>'s if given. And
these subsequent characters comprise the first argument's
default value if it's not explicitly given. The illustrated
example's first argument is optional with default value
<b>n</b> as shown. In this case that's just a single
character, but you can write any length default you like.
<br> To see many additional examples, search for the
uppercase string NEWCOMMANDS in mimetex.c, and look below that.
All the above examples are already there. </dd>
<dt> <b>-DNOREFMAXLEN=<i>n</i></b> </dt>
<dd> The environment variable HTTP_REFERER identifies the
domain a request originates from. If HTTP_REFERER is not
defined, then NOREFMAXLEN is the maximum length query string
permitted from unidentified domains. It defaults to 9999,
i.e., any query string is permitted, since
mail and various other legitimate programs often don't
supply an HTTP_REFERER. See -DREFERER and -DREFLEVELS
below for further discussion, and also see -DNOREFSAFELEN
immediately below. </dd>
<dt> <b>-DNOREFSAFELEN=<i>n</i></b> </dt>
<dd> If you compile mimeTeX with either the -DREFERER or
-DREFLEVELS switch (discussed below), then the default
NOREFMAXLEN value 9999 is replaced by the (usually much
shorter) NOREFSAFELEN value whose default is 24. </dd>
<dt> <b>-DOPAQUE</b> </dt>
<dd> By default, mimeTeX renders gif images with black symbols
on a transparent white background. Defining OPAQUE renders
images on an opaque background instead. </dd>
<dt> <b>-DPATHPREFIX=\"<i>path/</i>\"</b> </dt>
<dd> The <a href="#input">\input{ }</a> and
<a href="#counter">\counter{ }</a> commands discussed below
require filename arguments which, by default, point to files
residing in the same cgi-bin/ directory as your mimetex.cgi.
Moreover, for security, absolute paths with leading <b>/</b>'s
or <b>\</b>'s, and paths with <b>../</b>'s or <b>..\</b>'s,
are not permitted. Instead, compile mimetex with PATHPREFIX
defined as <i>path</i><b>/</b> if you want input files in some
other directory. And make sure your <i>path</i><b>/</b> ends
with <b>/</b> (or with <b>\</b> for Windows). </dd>
<dt> <b>-DPLUSBLANK <i>-or-</i><br>
-DPLUSNOTBLANK</b> </dt>
<dd> mimeTeX receives your LaTeX math expression as a url
query string, in which blank spaces are often encoded
as <b>%20</b> or as plus signs <b>+</b>, and
where actual plus signs are often encoded as <b>%2B</b>.
But these conventions aren't always respected,
and even when they are blank spaces may be either
<b>%20</b> or <b>+</b>. The only ambiguity for
mimeTeX is whether or not to translate plus signs <b>+</b>
back to blank spaces. <br>
If you know how your applications behave,
then define PLUSBLANK to always translate plus signs <b>+</b>
to blank spaces, or define PLUSNOTBLANK to never translate. <br>
Otherwise, if you define neither,
mimeTeX applies some common-sense rules to decide whether or
not to translate. These usually work, but can't be guaranteed.
If your query string contains actual blank spaces or
blanks encoded as <b>%20</b>, then plus signs <b>+</b>
aren't translated. Otherwise, if your query string
contains <b>%2B</b>, then plus signs <b>+</b> are
translated. If neither <b>%20</b> nor <b>%2B</b>, or both
<b>%20</b> and <b>%2B</b>, occur in your query string,
then the situation is ambiguous. In this case, if mimeTeX
finds two or more plus signs <b>++</b> with no intervening
space, then they're translated; otherwise they're not. </dd>
<dt> <b>-DREFERER=\"<i>domain</i>\" <i>-or-</i><br>
-DREFERER=\"<i>domain1,domain2,etc</i>\"</b> </dt>
<dd> Blocks mimeTeX requests from unauthorized domains that
are using your mimetex.cgi (hence your server's resources)
without permission. <br>
If compiled with -DREFERER, then mimeTeX
performs a case-insensitive test of the environment variable
HTTP_REFERER to verify that it contains the authorized 'domain'
as a substring. For example, if -DREFERER=\"\",<br>
If given several 'domain's (second form)
then HTTP_REFERER must contain either 'domain1' or
'domain2', or etc, as a (case-insensitive) substring. <br>
If HTTP_REFERER doesn't contain a substring
matching any of these domain(s), then mimeTeX emits the error
message image<br>
<img src="../cgi-bin/mimetex.cgi?\message{0}"
alt="" align="middle" border=0> <br>
instead of the requested image. You can manually
modify this invalid_referer_msg, which is msgtable[0]
defined immediately above function main(),
to personalize the error message displayed for your own site. <br>
Finally, if you specify <b>-DREFERER</b>
(or -DREFLEVELS discussed immediately below) but HTTP_REFERER
is not found as an environment variable, then
mimeTeX correctly generates images whose QUERY_STRING's
contain 24 or fewer characters. For 25 or more
characters, mimeTeX generates an error.
See -DNOREFMAXLEN and -DNOREFSAFELEN above to change
the 24 limit. </dd>
<dt><b>-DREFLEVELS=<i>n</i></b> <i>-or-</i><br>
<b>-DNOREFCHECK</b> </dt>
<dd> Besides <b>-DREFERER</b> discussed immediately above,
mimeTeX can block requests from HTTP_REFERER's that
don't match your HTTP_HOST, <i>i.e.</i>, from pages on
different servers than your mimetex.cgi image. <br>
The default value of REFLEVELS is 3,
meaning the topmost three levels of HTTP_REFERER and
HTTP_HOST must match. For example, phy.cam.ac.uk matches
math.cam.ac.uk because they share the same topmost three
levels cam.ac.uk. So a page installed at the physics
department can use a mimetex.cgi installed at the math
department. If you always want a complete match, compile
mimeTeX with <b>-DREFLEVELS=99</b> or any large number.
If HTTP_REFERER is not found, then the same 24
character limit discussed immediately above remains in effect. <br>
To completely disable the REFLEVELS check,
compile mimeTeX with <b>-DNOREFCHECK</b> (or with
<b>-DREFLEVELS=0</b>). Or, if you supply a specific
<b>-DREFERER</b> list of authorized domains, as discussed
immediately above, then the REFLEVELS check is automatically
disabled. </dd>
<dt><b>-DSECURITY=<i>n</i></b> </dt>
<dd> This is essentially a "paranoid" setting that defaults
to a high value 999, which inhibits some optional logging
activity. <b>-DCACHEPATH=<i>path</i>/</b> isn't affected,
since you're explicitly supplying a <b><i>path</i>/</b>
you want files written to. But, for example, you must set
<b>-DSECURITY=5</b> (or less) to permit the <b>\counter</b>
command to create a new counter file. A malicious user
could conceivably flood your file system by submitting
zillions of <b>\counter{<i>filename</i>}</b> commands
to mimeTeX, each with a different <b><i>filename</i></b>. </dd>
<dt><b>-DSMASHMARGIN=<i>n</i> <i>-or-</i><br>
-DNOSMASH</b> </dt>
<dd> TeX typically renders an expression like
<b>\frac12\int_{a+b+c}^{d+e+f}g(x)dx</b> as <a href="#preview">
<img id="nosmash1" onclick="eqntext('nosmash1')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\nosmash\frac12\int_{a+b+c}^{d+e+f}g(x)dx"
alt="" border=0 align=middle></a>. MimeTeX tries to remove extra
whitespace, rendering the same expression as <a href="#preview">
<img id="nosmash2" onclick="eqntext('nosmash2')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\smash\frac12\int_{a+b+c}^{d+e+f}{g(x)}dx"
alt="" border=0 align=middle></a> instead.
Compile with <b>-DNOSMASH</b> if you prefer the typical TeX
behavior as mimeTeX's default. Or, to adjust the minimum
number of pixels between smashed symbols (default is 3),
compile with <b>-DSMASHMARGIN=<i>n</i></b>.
See <a href="#smash">Smash</a> for further discussion. </dd>
<dt> <b>-DWARNINGS=<i>n</i> <i>-or-</i> <br>
-DNOWARNINGS</b> </dt>
<dd> If an expression submitted to mimeTeX contains an
unrecognzied escape sequence, e.g., "y=x+\abc+1", then
mimeTeX generates a gif image containing an embedded
warning in the form "y=x+[\abc?]+1". Or, if an expression
contains an unrecognized character, i.e., one for which mimeTeX
has no corresponding bitmap, then the embedded warning is [?].
If you want these warnings suppressed, either <b>-DWARNINGS=0</b>
or <b>-DNOWARNINGS</b> on the compile line tells mimeTeX to treat
unrecognized/undisplayable input as white space. </dd>
<dt> <b>-DWHITE</b> </dt>
<dd> MimeTeX usually renders black symbols on a white
background. This option renders white symbols on
a transparent black background instead (or on an opaque
black background when combined with <b>-DOPAQUE</b> ). </dd>
<dt> <a name="adswitches"> </a> <font color="black" size="5">
<br> <b>Advertising switches</b><font size=5>...</font></font>
<br> </dt>
<dd style="margin-left:0em;"> The next three switches
set up a mimeTeX web service that embeds advertising messages
along with rendered images.
<!-- See <a href="#webservice">mimeTeX web service</a>
above for further discussion. --> <br> <br> </dd>
<dt> <a name="adfrequencyswitch"> </a>
<b>–DADFREQUENCY=0</b> </dt>
<dd> If ADFREQUENCY is defined as a positive number <b><i>n</i></b>,
then one request out of every <b><i>n</i></b> submitted to mimeTeX
is randomly selected to be displayed along with a pre-defined
"advertisement". For example, if your expression is
<b>\large\int_0^xe^{-x^2}dx</b>, then the default
advertisement displays <br>
<a href="#preview"><img id="adswitch1" onclick="eqntext('adswitch1')"
src="../cgi-bin/mimetex.cgi?\large\advertisement
\int_0^xe^{-x^2}dx" alt="" align="middle" border=0></a>
instead of just
<a href="#preview"><img id="adswitch2" onclick="eqntext('adswitch2')"
src="../cgi-bin/mimetex.cgi?\large
\int_0^xe^{-x^2}dx" alt="" align="middle" border=0></a> <br>
See the <b>–DADVERTISEMENT</b> switch <!-- immediately -->
below for instructions to define your own advertisement replacing
my default. </dd>
<dt> <a name="adhostswitch"> </a>
<b>–DHOST_SHOWAD=\"\\000\"</b> </dt>
<dd> Advertisement messages are usually displayed randomly,
in one request to mimeTeX out of every <b><i>n</i></b>,
as defined by the <b>–DADFREQUENCY</b> switch above.
But if a HOST_SHOWAD string is also defined,
then advertisements are only displayed when mimeTeX is running
on a host whose HTTP_HOST (or SERVER_NAME) environment variable
contains that string. For example,
<b>–DHOST_SHOWAD=\"mathsite\"</b> displays advertisements
on www.mathsite.com but never on www.mathhouse.com .
The default HOST_SHOWAD value is an empty string,
which displays advertisements on any host. </dd>
<dt> <a name="advertisementswitch"> </a>
<b>–DADVERTISEMENT=\"</b><i>filename</i><b>\"</b> </dt>
<dd> To define your own advertisement, replacing my default
illustrated immediately above, edit a file containing lines
of the form <br>
<nobr> <b>"\\</b>begin{gather}{\\small\\text<b>"</b></nobr><br>
<nobr> <b>"</b>{\\fbox{\\begin{gather}<b>"</b></nobr><br>
<nobr> <b>"</b>mime\\TeX rendering courtesy of\\\\<b>"</b></nobr><br>
<nobr> <b>"</b>http://www.forkosh.com/mimetex.html \\end{gather}}}\\\\<b>"</b></nobr><br>
<nobr> <b>"</b> %%expression%%<b>"</b></nobr><br>
<nobr> <b>"\\</b>end{gather}<b>"</b></nobr><br>
Every line in your file must be enclosed in <b>"</b>quotes<b>"</b>,
and all backslashes written as double-backslashes <b>\\</b>.
Note <b>\\\\</b> at the end of the third and fourth lines,
which LaTeX sees as <b>\\</b>. The entire example shows how my
default advertisement is defined. <br>
Your advertisement may consist of any valid
mimeTeX commands you like. But it must somewhere contain the line <br>
<nobr> <b>"</b> %%expression%% <b>"</b></nobr><br>
which is replaced by the user's expression. <br>
Once mimeTeX is compiled with your advertisement,
test it by submitting an expression like
<b>\advertisement x^2+y^2</b> containing the special
mimeTeX \advertisement directive, which forces that
expression to be rendered with your advertisement. In this case
(and with my default advertisement message) we see <br>
<a href="#preview"><img id="adswitch3" onclick="eqntext('adswitch3')"
src="../cgi-bin/mimetex.cgi?\advertisement x^2+y^2"
alt="" align="middle" border=0></a> instead of
just
<a href="#preview"><img id="adswitch4" onclick="eqntext('adswitch4')"
src="../cgi-bin/mimetex.cgi?x^2+y^2" alt="" border=0></a> <br>
regardless of your ADFREQUENCY value. </dd>
</dl>
<h2> <a name="cmdline"> (IId) Command Line Features </a> </h2>
<p> MimeTeX usually runs from a browser, obtaining its input expression
from a query_string. But you can also run mimeTeX from your Unix
shell, supplying all input from the command line. This was briefly
illustrated above, where you were advised to test your newly-compiled
mimeTeX executable from the command line before installing it. </p>
<p> In addition to such simple testing, mimeTeX also provides some
possibly useful functionality from the command line. In particular,
you can store a gif (or xbitmap) image of any expression to a file.
No syntax checking is applied to command-line arguments, so enter
them carefully. (Likewise, plus signs <b>+</b> are never
translated to blank spaces, nor is any other <b>%xx</b> url decoding
performed on command-line arguments.) </p>
<p> The complete command-line syntax for mimeTeX is </p>
<pre>
./mimetex [ -d ] dump gif image on stdout,
[ -e export_file ] or write gif image to export_file
[ expression expression, e.g., "x^2+y^2",
| -f input_file ] or read expression from input_file
[ -g1 -d ] dump .pbm-formatted image on stdout
[ -g1 -e export_file ] or write .pbm image to export_file
[ -g2 -d ] dump anti-aliased .pgm image on stdout
[ -g2 -e export_file ] or write .pgm image to export_file
[ -m msglevel ] verbosity of debugging output
[ -o ] render image with opaque background
[ -s fontsize ] default fontsize, 0-5
-d Rather than printing ascii debugging output, mimeTeX
dumps the actual gif (or xbitmap) to stdout, e.g.,
./mimetex -d "x^2+y^2" > expression.gif
creates expression.gif containing an image of x^2+y^2
-e export_file Like -d but writes the actual gif
(or xbitmap) directly to export_file, e.g.,
./mimetex -e expression.gif "x^2+y^2"
creates file expression.gif containing an image of x^2+y^2
expression Place LaTeX expression directly on command
line, with no -switch preceding it, as in the example
immediately above, or.....
-f input_file .....read expression from input_file
(and automatically assume -d switch). The input_file
may contain the expression on one line or spread out
over many lines. MimeTeX will concatanate all lines
from input_file to construct one long expression.
Blanks, tabs, and newlines are just ignored.
-g1 -d dumps a .pbm-formatted portable bitmap image to stdout.
Note that this is the bitmap image _before_ anti-aliasing.
-g1 -e export_file Like -g1 -d but writes the .pbm-formatted
portable bitmap directly to export_file, e.g.,
./mimetex -g1 -e expression.pbm "x^2+y^2"
creates file expression.pbm containing a bitmap image
of x^2+y^2 before anti-aliasing.
-g2 -d dumps a .pgm-formatted portable graphic image to stdout.
Note that this is the bytemap image _after_ anti-aliasing.
-g2 -e export_file Like -g2 -d but writes the .pgm-formatted
portable graphic image directly to export_file, e.g.,
./mimetex -g3 -e expression.pgm "x^2+y^2"
creates file expression.pgm containing a bytemap image
of x^2+y^2 after anti-aliasing.
-m msglevel 0-99, controls verbosity/message level for
debugging output (usually used only while testing code).
-o Rather than the default transparent gif background,
the rendered image will contain black symbols on an
opaque white background (or vice versa if compiled
with -DWHITE). For example, if you have ImageMagick's
display utility,
./mimetex -o -d "x^2+y^2" | display &
opens a small window containing the rendered expression.
(Note: if you already compiled mimeTeX with -DOPAQUE
then -o renders images on a transparent background.)
-s fontsize 0-7, font size. Font size can also be specified
within the expression by a directive, e.g., \Large f(x)=x^2
displays f(x)=x^2 at font size 4, overriding -s.
Default font size is 3.
</pre>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SECTION III. SYNTAX REFERENCE
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h1> <a name="reference"> (III) Syntax Reference </a> </h1>
<p> Since mimeTeX's syntax is as TeX-like as possible, we'll mostly discuss
the occasional differences.
<!-- (which exist only to simplify my programming
task, not to impose any syntactic aesthetics of mine on you). -->
This section contains short paragraphs that each discuss some aspect
of mimeTeX where your LaTeX experience might not be precisely
duplicated. </p>
<p> Anything not discussed here that still doesn't behave like you expect
is probably just not implemented. That includes (La)TeX packages
(though a few ams commands like \begin{gather} and \begin{pmatrix}
are recognized), non-standard fonts, etc. You can try out any
questionable syntax by <a href="#forminput">Submit</a>ting a query
to quickly see whether or not it works. And you might want to
occasionally re-browse the <a href="#examples">Examples</a> above,
which may better illustrate implemented features. </p>
<h2> <a name="spaces"> (IIIa) \unitlength{ }, Math Spaces and Whitespace
</a> </h2>
<h3> <a name="unitlength">\unitlength<font size=5>...</font></a> </h3>
<p> Lengths in mimeTeX are all ultimately expressed in number of pixels.
Various commands discussed below require length arguments, including </p>
<ul>
<li> <a href="#mathspace">\hspace{ }</a> </li>
<li> <a href="#mathspace">\hfill{ }</a> </li>
<li> <a href="#raiserotate">\raisebox{ }{ }</a> </li>
<li> <a href="#circleline">\line( , )</a> and
<a href="#circleline">\circle( , )</a> </li>
<li> <a href="#arrows">\longrightarrow[ ]</a> </li>
</ul> <p class="continue">
(the \long<i>xxx</i>arrow [ ]-arguments are optional mimeTeX
extensions to LaTeX) MimeTeX's length-type arguments never
take units, e.g., {10pt} and {1cm} are both invalid. Lengths always
refer to number of pixels, optionally scaled by a user-specified
<b>\unitlength</b>. </p>
<p> MimeTeX's <b>\unitlength{ }</b> command lets you specify
the number of pixels per "length unit", e.g.,
<b>\unitlength{10} \hspace{2.5}</b> renders a 25-pixel space.
Both <b>\unitlength{ }</b> and <b>\hspace{ }</b>'s
length arguments may be integers or may contain decimal points.
Ditto for all other mimeTeX commands that take length arguments.
The default <b>\unitlength</b> is, you guessed it, <b>1</b>. </p>
<p> A specified <b>\unitlength</b> applies to all subsequent terms,
i.e., everything to its right. And several <b>\unitlength</b>'s
may be specified in the same expression, each one overriding
those to its left. But if one or more <b>\unitlength</b>'s
appear within a <b>{ }</b>-enclosed subexpression, then terms
following its closing right <b>}</b> revert to the <b>\unitlength</b>
in effect before its opening left <b>{</b>. For example, </p> <center>
<b>A\hspace{10} {\unitlength{2.5}B\hspace{10}C} \hspace{10}D</b>
produces
<a href="#preview"><img id="unitlength1" onclick="eqntext('unitlength1')"
src="../cgi-bin/mimetex.cgi?\large A\hspace{10}
{\unitlength{2.5}B\hspace{10}C}\hspace{10}D"
alt="" border=0 align=middle></a> </center> <p class="continue">
which has a 10-pixel space between <b>A</b> and <b>B</b>, then
25 pixels between <b>B</b> and <b>C</b>, and finally
another 10 pixels between <b>C</b> and <b>D</b>. </p>
<h3> <a name="mathspace">Math Spaces<font size=5>...</font></a> </h3>
<p> Except inside <a href="#textboxes">text boxes</a>,
unescaped blanks, tildes (a <b>~</b>), and all other usual
<a href="#whitespace">whitespace</a> characters are completely
ignored by mimeTeX, just like they are in LaTeX math mode.
As usual, you must explicitly write one of the recognized math
spaces to put extra visible space in your rendered expressions. </p>
<p> MimeTeX recognizes math spaces <b>\/ \, \: \;</b>
as well as <b>\quad</b> and <b>\qquad</b> ,
and also a backslashed blank
<img src="../cgi-bin/mimetex.cgi?1$\backsl\raise{-5}{\rotate{-90}]}"
alt="" border=0 align=middle>
(i.e., a <b>\</b> followed by a blank).
For example,
<b>(a\/b\,c\:d\;e\ f\quad g\qquad h)</b>
  renders
<a href="#preview"><img id="spacing2" onclick="eqntext('spacing2')"
src="../cgi-bin/mimetex.cgi?(a\/b\,c\:d\;e\ f\quad g\qquad h)"
alt="" border=0 align="middle"></a>.
In mimeTeX, you may also write <b>\hspace{10}</b>
to insert a 10-pixel (or any other number) space, scaled by any
preceding <a href="#unitlength">\unitlength</a>, as illustrated
just above. </p>
<p> For negative spaces, <b>\!</b> produces a small (two
pixel) negative space, e.g., <b>a=b</b> renders
<img src="../cgi-bin/mimetex.cgi?a=b"alt="" border=0 align="bottom">
whereas <b>a\!=b</b> renders
<img src="../cgi-bin/mimetex.cgi?a\!=b"alt="" border=0 align="bottom">
and <b>a\!\!=b</b> renders
<img src="../cgi-bin/mimetex.cgi?a\!\!=b"alt="" border=0 align="bottom">.
For large negative space, <b>\hspace{-10}</b> permits
a negative argument. But it stops at the first pixel to its left
rather than "erasing" pixels. If you don't want to stop, use
<b>\hspace*{-10}</b> instead. For example,
<b>ABC\hspace*{-20}-DEF</b> renders
<img src="../cgi-bin/mimetex.cgi?ABC\hspace*{-20}-DEF"
alt="" border=0 align="bottom">, erasing all of the <b>C</b>
and the right half of the <b>B</b>. </p>
<!--
<p> Although some browsers occasionally misinterpret typed blank spaces
inside html query_string's, mimeTeX also recognizes escaped blanks
<img src="../cgi-bin/mimetex.cgi?\small\backsl\raise{-5}{\rotate{-90}]}"
alt="" border=0 align=middle> (a <b>\</b> followed by a blank) as math
spaces, just in case you can safely use them. </p>
-->
<p> MimeTeX also supports <b>\hfill{<i>textwidth</i>}</b>, where
<b><i>textwidth</i></b> is roughly equivalent to LaTeX's
<b>\textwidth</b>, i.e., it's the total number of pixels, scaled by
<a href="#unitlength">\unitlength</a>, that your entire rendered
expression will span. However, if <b>\hfill{ }</b> appears
within a <b>{ }</b>-enclosed subexpression, then it applies
only to that subexpression. For example, </p> <center>
<b>{abc \hfill{75} def} \hfill{150} ghi</b>
produces
<a href="#preview"><img id="mathspace1" onclick="eqntext('mathspace1')"
src="../cgi-bin/mimetex.cgi?\large{abc\hfill{75}def}\hfill{150}ghi"
alt="" border=0 align=middle></a> </center> <p class="continue">
The first/inner <b>\hfill{75}</b> inserts exactly enough whitespace so
that subexpression "<b><i>abc def</i></b>" spans 75 pixels.
Then the second/outer <b>\hfill{150}</b> inserts exactly enough
whitespace so that the entire expression spans 150 pixels.
Without explicit <b>{ }</b>-nesting, mimeTeX evaluates expressions
left-to-right (sinistrally), e.g., <b>...\hfill{150}...\hfill{75}...</b>
is exactly equivalent to <b>...\hfill{150}{...\hfill{75}...}</b>.
Notice that, this time, the second/right <b><i>textwidth</i></b>
argument is necessarily smaller than the first/left. </p>
<p> Finally, mimeTeX begins a new line whenever you write <b>\\</b> .
And you may optionally write <b>\\[10]</b> to put a 10-pixel (or any
other number) vertical space, scaled by
<a href="#unitlength">\unitlength</a>, between lines.
<a href="#array">\begin{eqnarray}</a> also splits long
equations over several lines, as illustrated by
<a href="#example10">Example 10</a> above.
But when that's not the best solution, you can also write,
for example, </p> <center>
<b>y=a+b+c+d\\\hspace{50}+e+f+g+h</b>
to produce
<a href="#preview"><img id="mathspace2" onclick="eqntext('mathspace2')"
src="../cgi-bin/mimetex.cgi?\large y=a+b+c+d\\\hspace{50}+e+f+g+h"
alt="" border=0 align=middle></a> </center>
<p> However, mimeTeX can't correctly handle automatically-sized delimiters
across linebreaks, e.g., </p> <center>
<b>y=\left\{a+b+c+d\\\hspace{50}+e+f+g+h\right\}</b>
produces
<a href="#preview"><img id="mathspace3" onclick="eqntext('mathspace3')"
src="../cgi-bin/mimetex.cgi?\large y=\{a+b+c+d\\
\hspace{50}+e+f+g+h\}" alt="" border=0 align=middle></a> <br>
whereas you probably wanted
<a href="#preview"><img id="mathspace4" onclick="eqntext('mathspace4')"
src="../cgi-bin/mimetex.cgi?\large y=\big{a+b+c+d\\
\hspace{50}+e+f+g+h\big}" alt="" border=0 align=middle></a>
</center> <p class="continue">
which I produced using <b>\big{...\\...\big}</b> instead
of <b>\left\{...\\...\right\}</b>. Expressions of the
form <b>\left...\right \\ \left...\right</b> should all be
rendered properly. It's only <b>\left...\\...\right</b> that will
look odd. </p>
<h3> <a name="whitespace">Whitespace, Comments,
and some other characters<font size=5>...</font></a> </h3>
<p> Some browsers occasionally misinterpret typed blank spaces
inside html query_string's. In that case, you can write
tildes (a <b>~</b>) wherever blanks are required or desired,
e.g., <b>\alpha~w</b> instead of <b>\alpha w</b>, or
<b>\frac~xy</b> or <b>\sqrt~z</b>, etc. MimeTeX correctly
interprets both blanks and <b>~</b>'s, and all
other usual whitespace characters. So use whatever's convenient
as long as it's correctly interpreted inside query_string's by your
browser. </p>
<p> Similarly, some browsers occasionally misinterpret linebreaks/newlines
inside the middle of long html query_string's.
For example, </p>
<pre><img src="../cgi-bin/mimetex.cgi?f(x)=\frac1{\sigma\sqrt{2\pi}}
\int\limits_{-\infty}^xe^{-\frac{(t-\mu)^2}{2\sig^2}}dt"
alt="" border=0 align=middle> </pre><p class="continue">
breaks a long query_string over two lines. If your browser interprets
this correctly, then mimeTeX will render it correctly, too. Otherwise,
you'll have to enter long expressions on one big long line. </p>
<p> If you can break long query_string's over several lines, then you may
find mimeTeX's <b>%%comments%%</b> feature useful, too. Note that
comments must be preceded <i>and followed</i> by two <b>%</b>'s
rather than LaTeX's usual one. The above example could be written </p>
<pre><img src="../cgi-bin/mimetex.cgi?f(x)=\frac1{\sigma\sqrt{2\pi}} %%normalization%%
\int\limits_{-\infty}^xe^{-\frac{(t-\mu)^2}{2\sig^2}}dt %%integral%%"
alt="" border=0 align=middle> </pre>
<p> Besides whitespace, browsers may misinterpret embedded apostrophes,
and especially quotes, within query strings. The <b>a's</b> and
<b>b's</b> in <a href="#example7">Example 7</a> above actually use
superscripted commas for apostrophes, i.e., <b>a^,s</b> and <b>b^,s</b>,
and you can also use LaTeX <b>\prime</b>'s, as in <b>a^\prime s</b>.
For quotes, you can use <b>^{,,}</b> since <b>"</b> almost certainly
won't work. To help make things easier, in addition to the usual
LaTeX <b>\prime</b>, mimeTeX also recognizes <b>\apostrophe</b> and
<b>\quote</b> and <b>\percent</b>, all with the obvious meanings. </p>
<h2> <a name="symbols"> (IIIb) Math Symbols, Sizes, and Modes </a></h2>
<h3> <a name="characters">Character Sets<font size=5>...</font></a> </h3>
<p> The <a href="http://www.ctan.org/tex-archive/info/symbols/comprehensive/"
target="_top"> Comprehensive LaTeX Symbol List </a>
illustrates some 6,000 symbols supported by LaTeX. For complete
information about the subset of these characters and math symbols
available in mimeTeX, you'll need to browse through the bottom
1500-or-so lines of <b>mimetex.h</b>. And several additional
symbols like <b>\ldots</b> and <b>\AA</b> and <b>\hbar</b> are
defined by the mimeTeX preprocessor, function <b>mimeprep( )</b>
in <b>mimetex.c</b> <br>
I haven't exhaustively checked all the name-number matchings for
the thousand-or-so symbols in mimetex.h. You can eaily correct
any minor mistake you find in what I hope is an obvious manner.
The fonts <a href="#fonts">Appendix IVa</a> below provides
additional information. </p>
<p> Generally speaking, I've tried to
encode the cmr10, cmmi10, cmmib10, cmsy10, cmex10, bbold10, rsfs10,
stmary10 and wncyr10 families with "names", e.g., <b>\alpha \beta
\forall \sqcup</b>, etc, identical to your LaTeX expectations.
For example, the calligraphic symbols in cmsy10 are accessed by
writing <b>\mathcal{A} \mathcal{B} \mathcal{XYZ}</b>. Similarly,
write <b>\mathbf{A}</b> for the cmmib fonts, write <b>\mathscr{A}</b>
for rsfs10, write <b>\mathbb{R}</b> for bbold10, and write
<b>{\cyr Khrushchev}</b> or <b>\cyr{Khrushchev}</b> to see
<a href="#preview"><img id="cyrillic1" onclick="eqntext('cyrillic1')"
src="../cgi-bin/mimetex.cgi?\large\cyr Khrushchev"
alt="" border=0 align="middle"></a>.
Most LaTeX distributions supply stmaryrd.dvi and stmaryrd.sty
that both document the names of the stmary10 symbols.
Similarly, amsfndoc.dvi documents the names of the wncyr10
cyrillic symbols and ligatures. </p>
<!-- But there are various additions and omissions and exceptions
vis-a-vis LaTeX. For example, </p>
<ul>
<li> "Large" operators like \int are often also available as
\Bigint, and similarly for \sum \prod \cup \cap, etc.
If you find a \Bigxxx in mimetex.h then you'll also find the
corresponding \xxx. \Bigxxx operators are somewhat larger
than their \xxx counterparts, and they automatically render
super/subscripts in <a href="#modes">displaystyle</a>. </li>
</ul> -->
<p> In addition to extra LaTeX symbols like <b>\ldots</b>, <b>\AA</b>
and <b>\hbar</b>, mentioned above, the mimeTeX preprocessor
<b>mimeprep( )</b> also recognizes various html special
characters like <b>&lt;</b>, <b>&gt;</b>, <b>&nbsp;</b>,
<b>&quot;</b>, <b>&amp;</b>, etc. Some web tools apparently
translate characters like, e.g., <b>></b> to <b>&gt;</b>,
even inside quoted query_string's, so mimeTeX's preprocessor
translates them back to LaTeX symbols for you. Moreover, html
misinterprets quotes <b>"</b> inside a quoted
query string as the end of the query string. So, for example,
the cyrillic ligature <b>\"E</b> has to be written in the
even more cumbersome form <b>\&quot;E</b> inside a query
string. </p>
<p> Illustrated below are some of the character sets and math symbols
supported by mimeTeX, starting with several roman character fonts.
The blackboard bold font contains many characters besides
<b>a-z,A-Z</b>. Calligraphic and script fonts contain
uppercase <b>A-Z</b> only. </p>
<center><a href="#preview"><img id="roman8" onclick="eqntext('roman8')"
src="../cgi-bin/mimetex.cgi?\large
\begin{array}{|c+57|c|c|c0|c|c|c|c|c| C25 C+15} \hline
\large \textrm{a-z} & \small \backslash\textrm{text} &
\small \backslash\textrm{mathbb} & &
\large \textrm{A-Z} & \small \backslash\textrm{text} &
\small \backslash\textrm{mathbb} & \small \backslash\textrm{mathcal} &
\small \backslash\textrm{mathscr} \\ \hline
a&\text{a}&\mathbb{a}& &A&\text{A}&\mathbb{A}&\mathcal{A}&\mathscr{A}\\
b&\text{b}&\mathbb{b}& &B&\text{B}&\mathbb{B}&\mathcal{B}&\mathscr{B}\\
c&\text{c}&\mathbb{c}& &C&\text{C}&\mathbb{C}&\mathcal{C}&\mathscr{C}\\
d&\text{d}&\mathbb{d}& &D&\text{D}&\mathbb{D}&\mathcal{D}&\mathscr{D}\\
e&\text{e}&\mathbb{e}& &E&\text{E}&\mathbb{E}&\mathcal{E}&\mathscr{E}\\
f&\text{f}&\mathbb{f}& &F&\text{F}&\mathbb{F}&\mathcal{F}&\mathscr{F}\\
g&\text{g}&\mathbb{g}& &G&\text{G}&\mathbb{G}&\mathcal{G}&\mathscr{G}\\
h&\text{h}&\mathbb{h}& &H&\text{H}&\mathbb{H}&\mathcal{H}&\mathscr{H}\\
i&\text{i}&\mathbb{i}& &I&\text{I}&\mathbb{I}&\mathcal{I}&\mathscr{I}\\
j&\text{j}&\mathbb{j}& &J&\text{J}&\mathbb{J}&\mathcal{J}&\mathscr{J}\\
k&\text{k}&\mathbb{k}& &K&\text{K}&\mathbb{K}&\mathcal{K}&\mathscr{K}\\
l&\text{l}&\mathbb{l}& &L&\text{L}&\mathbb{L}&\mathcal{L}&\mathscr{L}\\
m&\text{m}&\mathbb{m}& &M&\text{M}&\mathbb{M}&\mathcal{M}&\mathscr{M}\\
n&\text{n}&\mathbb{n}& &N&\text{N}&\mathbb{N}&\mathcal{N}&\mathscr{N}\\
o&\text{o}&\mathbb{o}& &O&\text{O}&\mathbb{O}&\mathcal{O}&\mathscr{O}\\
p&\text{p}&\mathbb{p}& &P&\text{P}&\mathbb{P}&\mathcal{P}&\mathscr{P}\\
q&\text{q}&\mathbb{q}& &Q&\text{Q}&\mathbb{Q}&\mathcal{Q}&\mathscr{Q}\\
r&\text{r}&\mathbb{r}& &R&\text{R}&\mathbb{R}&\mathcal{R}&\mathscr{R}\\
s&\text{s}&\mathbb{s}& &S&\text{S}&\mathbb{S}&\mathcal{S}&\mathscr{S}\\
t&\text{t}&\mathbb{t}& &T&\text{T}&\mathbb{T}&\mathcal{T}&\mathscr{T}\\
u&\text{u}&\mathbb{u}& &U&\text{U}&\mathbb{U}&\mathcal{U}&\mathscr{U}\\
v&\text{v}&\mathbb{v}& &V&\text{V}&\mathbb{V}&\mathcal{V}&\mathscr{V}\\
w&\text{w}&\mathbb{w}& &W&\text{W}&\mathbb{W}&\mathcal{W}&\mathscr{W}\\
x&\text{x}&\mathbb{x}& &X&\text{X}&\mathbb{X}&\mathcal{X}&\mathscr{X}\\
y&\text{y}&\mathbb{y}& &Y&\text{Y}&\mathbb{Y}&\mathcal{Y}&\mathscr{Y}\\
z&\text{z}&\mathbb{z}& &Z&\text{Z}&\mathbb{Z}&\mathcal{Z}&\mathscr{Z}\\
\hline \end{array}"
alt="" border=0 align="middle"></a></center>
<p> Characters from the Greek alphabet supported by mimeTeX,
along with <b>\mathbb{ }</b> versions, are
illustrated next. For example, <b>\mathbb{\lambda}</b>
renders
<a href="#preview"><img id="bblambda" onclick="eqntext('bblambda')"
src="../cgi-bin/mimetex.cgi?\large\mathbb{\lambda}"
alt="" border=0 align="bottom"></a>. </p>
<center><a href="#preview"><img id="greek2" onclick="eqntext('greek2')"
src="../cgi-bin/mimetex.cgi?\large
\begin{array}{|l98c28c28|l98c28c28|l98c28c28|}
\hline \; \\
\hspace{10}\backslash\textrm{Gamma} & \Gamma & \mathbb{\Gamma} &
\hspace{10}\backslash\textrm{Delta} & \Delta & \mathbb{\Delta} &
\hspace{10}\backslash\textrm{Theta} & \Theta & \mathbb{\Theta} \\
\hspace{10}\backslash\textrm{Lambda} & \Lambda & \mathbb{\Lambda} &
\hspace{10}\backslash\textrm{Xi} & \Xi & \mathbb{\Xi} &
\hspace{10}\backslash\textrm{Pi} & \Pi & \mathbb{\Pi} \\
\hspace{10}\backslash\textrm{Sigma} & \Sigma & \mathbb{\Sigma} &
\hspace{10}\backslash\textrm{Upsilon} & \Upsilon & \mathbb{\Upsilon}&
\hspace{10}\backslash\textrm{Phi} & \Phi & \mathbb{\Phi} \\
\hspace{10}\backslash\textrm{Psi} & \Psi & \mathbb{\Psi} &
\hspace{10}\backslash\textrm{Omega} & \Omega & \mathbb{\Omega} \\
\; \\ \hline \; \\
\hspace{10}\backslash\textrm{alpha} & \alpha & \mathbb{\alpha} &
\hspace{10}\backslash\textrm{beta} & \beta & \mathbb{\beta} &
\hspace{10}\backslash\textrm{gamma} & \gamma & \mathbb{\gamma} \\
\hspace{10}\backslash\textrm{delta} & \delta & \mathbb{\delta} &
\hspace{10}\backslash\textrm{epsilon} & \epsilon & \mathbb{\epsilon}&
\hspace{10}\backslash\textrm{zeta} & \zeta & \mathbb{\zeta} \\
\hspace{10}\backslash\textrm{eta} & \eta & \mathbb{\eta} &
\hspace{10}\backslash\textrm{theta} & \theta & \mathbb{\theta} &
\hspace{10}\backslash\textrm{iota} & \iota & \mathbb{\iota} \\
\hspace{10}\backslash\textrm{kappa} & \kappa & \mathbb{\kappa} &
\hspace{10}\backslash\textrm{lambda} & \lambda & \mathbb{\lambda} &
\hspace{10}\backslash\textrm{mu} & \mu & \mathbb{\mu} \\
\hspace{10}\backslash\textrm{nu} & \nu & \mathbb{\nu} &
\hspace{10}\backslash\textrm{xi} & \xi & \mathbb{\xi} &
\hspace{10}\backslash\textrm{pi} & \pi & \mathbb{\pi} \\
\hspace{10}\backslash\textrm{rho} & \rho & \mathbb{\rho} &
\hspace{10}\backslash\textrm{sigma} & \sigma & \mathbb{\sigma} &
\hspace{10}\backslash\textrm{tau} & \tau & \mathbb{\tau} \\
\hspace{10}\backslash\textrm{upsilon} & \upsilon & \mathbb{\upsilon}&
\hspace{10}\backslash\textrm{phi} & \phi & \mathbb{\phi} &
\hspace{10}\backslash\textrm{chi} & \chi & \mathbb{\chi} \\
\hspace{10}\backslash\textrm{psi} & \psi & \mathbb{\psi} &
\hspace{10}\backslash\textrm{omega} & \omega & \mathbb{\omega} \\
\; \\ \hline \; \\
\hspace{10}\backslash\textrm{varepsilon} & \varepsilon & &
\hspace{10}\backslash\textrm{vartheta} & \vartheta & &
\hspace{10}\backslash\textrm{varpi} & \varpi & \\
\hspace{10}\backslash\textrm{varrho} & \varrho & &
\hspace{10}\backslash\textrm{varsigma} & \varsigma & &
\hspace{10}\backslash\textrm{varphi} & \varphi & \\
\; \\ \hline
\end{array}"
alt="" border=0 align="middle"></a></center>
<p> Finally, some of the math symbols supported by mimeTeX are illustrated
below. Operators shown in two sizes are automatically
"promoted" to the larger size in   <b>\displaystyle</b>
mode. For example,
<b>f(x)=\int_{-\infty}^x e^{-t^2}dt</b> renders
<a href="#preview"><img id="mathsy1" onclick="eqntext('mathsy1')"
src="../cgi-bin/mimetex.cgi?\textstyle f(x)=\int_{-\infty}^x e^{-t^2}dt"
alt="" border=0 align="middle"></a>
whereas
<b>\displaystyle f(x)=\int_{-\infty}^x e^{-t^2}dt</b>
renders
<a href="#preview"><img id="mathsy2" onclick="eqntext('mathsy2')"
src="../cgi-bin/mimetex.cgi?\displaystyle
f(x)=\int_{-\infty}^x e^{-t^2}dt" alt="" border=0 align="middle"></a>
</p>
<center><a href="#preview"><img id="mthtbl1" onclick="eqntext('mthtbl1')"
src="../cgi-bin/mimetex.cgi?\large\textstyle
\begin{array}{|l98c28c28|l98c28c28|l98c28c28|}
\hline \; \\
\hspace{10}\backslash\textrm{cdot} & \cdot & &
\hspace{10}\backslash\textrm{times} & \times & &
\hspace{10}\backslash\textrm{ast} & \ast & \\
\hspace{10}\backslash\textrm{div} & \div & &
\hspace{10}\backslash\textrm{diamond} & \diamond & &
\hspace{10}\backslash\textrm{pm} & \pm & \\
\hspace{10}\backslash\textrm{mp} & \mp & &
\hspace{10}\backslash\textrm{oplus} & \oplus & \Bigoplus &
\hspace{10}\backslash\textrm{ominus} & \ominus & \\
\hspace{10}\backslash\textrm{otimes} & \otimes & \Bigotimes &
\hspace{10}\backslash\textrm{oslash} & \oslash & &
\hspace{10}\backslash\textrm{odot} & \odot & \Bigodot \\
\hspace{10}\backslash\textrm{bigcirc} & \bigcirc & &
\hspace{10}\backslash\textrm{circ} & \circ & &
\hspace{10}\backslash\textrm{bullet} & \bullet & \\
\hspace{10}\backslash\textrm{asymp} & \asymp & &
\hspace{10}\backslash\textrm{equiv} & \equiv & &
\hspace{10}\backslash\textrm{subseteq} & \subseteq & \\
\hspace{10}\backslash\textrm{supseteq} & \supseteq & &
\hspace{10}\backslash\textrm{leq} & \leq & &
\hspace{10}\backslash\textrm{geq} & \geq & \\
\hspace{10}\backslash\textrm{preceq} & \preceq & &
\hspace{10}\backslash\textrm{succeq} & \succeq & &
\hspace{10}\backslash\textrm{sim} & \sim & \\
\hspace{10}\backslash\textrm{approx} & \approx & &
\hspace{10}\backslash\textrm{subset} & \subset & &
\hspace{10}\backslash\textrm{supset} & \supset & \\
\hspace{10}\backslash\textrm{ll} & \ll & &
\hspace{10}\backslash\textrm{gg} & \gg & &
\hspace{10}\backslash\textrm{prec} & \prec & \\
\hspace{10}\backslash\textrm{succ} & \succ & &
\hspace{10}\normalsize\backslash\textrm{leftarrow} & \leftarrow & &
\hspace{10}\normalsize\backslash\textrm{rightarrow} & \rightarrow & \\
\hspace{10}\normalsize\backslash\textrm{uparrow} & \uparrow & &
\hspace{10}\normalsize\backslash\textrm{downarrow} & \downarrow & &
\hspace{10}\normalsize\backslash\textrm{leftrightarrow}&&\leftrightarrow\\
\hspace{10}\backslash\textrm{nearrow} & \nearrow & &
\hspace{10}\backslash\textrm{searrow} & \searrow & &
\hspace{10}\backslash\textrm{simeq} & \simeq & \\
\hspace{10}\normalsize\backslash\textrm{Leftarrow} & \Leftarrow & &
\hspace{10}\normalsize\backslash\textrm{Rightarrow} & \Rightarrow & &
\hspace{10}\normalsize\backslash\textrm{Uparrow} & \Uparrow & \\
\hspace{10}\normalsize\backslash\textrm{Downarrow} & \Downarrow & &
\hspace{10}\normalsize\backslash\textrm{Leftrightarrow}&&\Leftrightarrow&
\hspace{10}\backslash\textrm{nwarrow} & \nwarrow & \\
\hspace{10}\backslash\textrm{swarrow} & \swarrow & &
\hspace{10}\backslash\textrm{propto} & \propto & &
\hspace{10}\backslash\textrm{prime} & \prime & \\
\hspace{10}\backslash\textrm{infty} & \infty & &
\hspace{10}\backslash\textrm{in} & \in & &
\hspace{10}\backslash\textrm{ni} & \ni & \\
\hspace{10}\backslash\textrm{triangle} & \triangle & &
\hspace{10}\normalsize\backslash\textrm{bigtriangledown}&&\bigtriangledown&
\hspace{10}\backslash^\prime & \' & \\
\hspace{10}\textrm{/} & / & &
\hspace{10}\backslash\textrm{forall} & \forall & &
\hspace{10}\backslash\textrm{exists} & \exists & \\
\hspace{10}\backslash\textrm{neg} & \neg & &
\hspace{10}\backslash\textrm{emptyset} & \emptyset & &
\hspace{10}\backslash\textrm{Re} & \Re & \\
\hspace{10}\backslash\textrm{Im} & \Im & &
\hspace{10}\backslash\textrm{top} & \top & &
\hspace{10}\backslash\textrm{bot} & \bot & \\
\hspace{10}\backslash\textrm{aleph} & \aleph & &
\hspace{10}\normalsize\backslash\textrm{mathcal\lbrace A\rbrace}&\;\mathcal{A}&....&
.... \normalsize\backslash\textrm{mathcal\lbrace Z\rbrace}&\;\mathcal{Z}&\\
\; \\ \hline
\end{array}"
alt="" border=0 align="middle"></a><br>
<a href="#preview"><img id="mthtbl2" onclick="eqntext('mthtbl2')"
src="../cgi-bin/mimetex.cgi?\large\textstyle
\begin{array}{|l98c28c28|l98c28c28|l98c28c28|}
\hline \; \\
\hspace{10}\backslash\textrm{cup} & \cup & \Bigcup &
\hspace{10}\backslash\textrm{cap} & \cap & \Bigcap &
\hspace{10}\backslash\textrm{uplus} & \uplus & \Biguplus \\
\hspace{10}\backslash\textrm{wedge} & \wedge & \Bigwedge &
\hspace{10}\backslash\textrm{vee} & \vee & \Bigvee &
\hspace{10}\backslash\textrm{vdash} & \vdash & \\
\hspace{10}\backslash\textrm{dashv} & \dashv & &
\hspace{10}\backslash\textrm{lfloor} & \lfloor & &
\hspace{10}\backslash\textrm{rfloor} & \rfloor & \\
\hspace{10}\backslash\textrm{lceil} & \lceil & &
\hspace{10}\backslash\textrm{rceil} & \rceil & &
\hspace{10}\backslash\textrm{lbrace} & \lbrace & \\
\hspace{10}\backslash\textrm{rbrace} & \rbrace & &
\hspace{10}\backslash\textrm{langle} & \langle & &
\hspace{10}\backslash\textrm{rangle} & \rangle & \\
\hspace{10}\backslash\textrm{mid} & \mid & &
\hspace{10}\backslash\textrm{parallel} & \parallel & &
\hspace{10}\normalsize\backslash\textrm{updownarrow}& & \updownarrow \\
\hspace{10}\normalsize\backslash\textrm{Updownarrow}& & \Updownarrow &
\hspace{10}\backslash\textrm{setminus} & \setminus & &
\hspace{10}\backslash\textrm{wr} & \wr & \\
\hspace{10}\backslash\textrm{surd} & \raisebox{15}\surd & &
\hspace{10}\backslash\textrm{amalg} & \amalg & &
\hspace{10}\backslash\textrm{nabla} & \nabla & \\
\hspace{10}\backslash\textrm{int} & \int & \Bigint &
\hspace{10}\backslash\textrm{sqcup} & \sqcup & \Bigsqcup &
\hspace{10}\backslash\textrm{sqcap} & \sqcap & \\
\hspace{10}\normalsize\backslash\textrm{sqsubseteq} & \sqsubseteq & &
\hspace{10}\normalsize\backslash\textrm{sqsupseteq} & \sqsupseteq & &
\hspace{10}\backslash\textrm{S} & \S & \\
\hspace{10}\backslash\textrm{dag} & \dag & &
\hspace{10}\backslash\textrm{ddag} & \ddag & &
\hspace{10}\backslash\textrm{P} & \P & \\
\hspace{10}\backslash\textrm{clubsuit} & \clubsuit & &
\hspace{10}\backslash\textrm{Diamond} & \Diamond & &
\hspace{10}\backslash\textrm{Heart} & \Heart & \\
\hspace{10}\backslash\textrm{spadesuit} & \spadesuit & \\
\; \\ \hline
\end{array}"
alt="" border=0 align="middle"></a><br>
<a href="#preview"><img id="mthtbl3" onclick="eqntext('mthtbl3')"
src="../cgi-bin/mimetex.cgi?\large\textstyle
\begin{array}{|l98c28c28|l98c28c28|l98c28c28|}
\hline \; \\
\hspace{10}\backslash\textrm{oint} & \oint & \Bigoint &
\hspace{10}\backslash\textrm{sum} & \sum & \Bigsum &
\hspace{10}\backslash\textrm{prod} & \prod & \Bigprod \\
\hspace{10}\backslash\textrm{coprod} & \coprod & \Bigcoprod \\
\; \\ \hline \; \\
\hspace{10}\normalsize\backslash\textrm{leftharpoonup} &&\leftharpoonup&
\normalsize\backslash\textrm{leftharpoondown} &&\;\leftharpoondown&
\hspace{10}\normalsize\backslash\textrm{rightharpoonup}&&\rightharpoonup\\
\normalsize\backslash\textrm{rightharpoondown}&&\;\rightharpoondown&
\hspace{10}\normalsize\backslash\textrm{triangleright} &&\triangleright&
\hspace{10}\normalsize\backslash\textrm{triangleleft} &&\triangleleft\\
\normalsize\backslash\textrm{rightleftharpoons}&&\;\rightleftharpoons&
\hspace{10}\backslash\textrm{star} & \LARGE{\star} & &
\hspace{10}\backslash\textrm{partial} & \partial & \\
\hspace{10}\backslash\textrm{flat} & \flat & &
\hspace{10}\backslash\textrm{natural} & \natural & &
\hspace{10}\backslash\textrm{sharp} & \sharp & \\
\hspace{10}\backslash\textrm{smile} & \smile & &
\hspace{10}\backslash\textrm{frown} & \frown & &
\hspace{10}\backslash\textrm{ell} & \ell & \\
\hspace{10}\backslash\textrm{imath} & \imath & &
\hspace{10}\backslash\textrm{jmath} & \jmath & &
\hspace{10}\backslash\textrm{wp} & \wp & \\
\; \\ \hline \; \\
\hspace{10}\backslash\textrm{ss} & \ss & &
\hspace{10}\backslash\textrm{ae} & \ae & &
\hspace{10}\backslash\textrm{oe} & \oe & \\
\hspace{10}\backslash\textrm{AE} & \AE & &
\hspace{10}\backslash\textrm{OE} & \OE & \\
\; \\ \hline \; \\
\hspace{10}\backslash\textrm{AA} & \AA & &
\hspace{10}\backslash\textrm{aa} & \aa & &
\hspace{10}\backslash\textrm{hbar} & \hbar & \\
\hspace{10}\backslash\textrm{ldots} & \ldots & &
\hspace{10}\backslash\textrm{cdots} & \cdots & &
\hspace{10}\backslash\textrm{vdots} & \vdots & \\
\hspace{10}\backslash\textrm{ddots} & \ddots & &
\hspace{10}\backslash\textrm{angle} & \angle & &
\hspace{10}\backslash\textrm{iint} & \iint & \Bigiint \\
\; \\ \hline
\end{array}"
alt="" border=0 align="middle"></a></center>
<h3> <a name="sizes">Font Sizes<font size=5>...</font></a> </h3>
<p> MimeTeX currently has eight font sizes, numbered 0-7, with default 3.
This font size numbering corresponds to the usual LaTeX directives
<b>\tiny</b>, <b>\small</b>, <b>\normalsize</b>,
<b>\large</b> (default), <b>\Large</b>,
<b>\LARGE</b>, <b>\huge</b> and <b>\Huge</b>.
These directives can be placed anywhere in a mimeTeX expression,
and they change font size from that point forwards. However, as usual,
a font size change inside a <b>{ }</b>-subexpression remains
in effect only within that subexpression. </p>
<p> In mimeTeX you may also write <b>\fontsize{0}...\fontsize{7}</b> or
the shorter <b>\fs{0},...,\fs{7}</b> for <b>\tiny,...,\Huge</b>.
And since these arguments are all single digits, the even shorter
form <b>\fs0,...,\fs7</b> works equally well. For example, </p>
<center> <table cellpadding=0>
<tr align=center>
<td align="left"> <b>0</b>:
<img src="../cgi-bin/mimetex.cgi?<b>\tiny</b> f(x)=x^2">
produces... </td>
<td> <a href="#preview"><img id="sizes0" onclick="eqntext('sizes0')"
src="../cgi-bin/mimetex.cgi?\tiny f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
<tr align=center>
<td align="left"> <b>1</b>:
<img src="../cgi-bin/mimetex.cgi?<b>\fs1</b> f(x)=x^2"> </td>
<td> <a href="#preview"><img id="sizes1" onclick="eqntext('sizes1')"
src="../cgi-bin/mimetex.cgi?\fs1 f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
<tr align=center>
<td align="left"> <b>2</b>:
<img src="../cgi-bin/mimetex.cgi?<b>\normalsize</b> f(x)=x^2"> </td>
<td> <a href="#preview"><img id="sizes1" onclick="eqntext('sizes1')"
src="../cgi-bin/mimetex.cgi?\normalsize f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
<tr align=center>
<td align="left"> <b>3</b>:
<img src="../cgi-bin/mimetex.cgi?<b></b>f(x)=x^2"> </td>
<td> <a href="#preview"><img id="sizes3" onclick="eqntext('sizes3')"
src="../cgi-bin/mimetex.cgi?f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
<tr align=center>
<td align="left"> <b>4</b>:
<img src="../cgi-bin/mimetex.cgi?<b>\Large</b> f(x)=x^2"> </td>
<td> <a href="#preview"><img id="sizes4" onclick="eqntext('sizes4')"
src="../cgi-bin/mimetex.cgi?\Large f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
<tr align=center>
<td align="left"> <b>5</b>:
<img src="../cgi-bin/mimetex.cgi?<b>\fs5</b> f(x)=x^2"> </td>
<td> <a href="#preview"><img id="sizes5" onclick="eqntext('sizes5')"
src="../cgi-bin/mimetex.cgi?\fs5f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
<tr align=center>
<td align="left"> <b>6</b>:
<img src="../cgi-bin/mimetex.cgi?<b>\huge</b> f(x)=x^2"> </td>
<td> <a href="#preview"><img id="sizes6" onclick="eqntext('sizes6')"
src="../cgi-bin/mimetex.cgi?\huge f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
<tr align=center>
<td align="left"> <b>7</b>:
<img src="../cgi-bin/mimetex.cgi?<b>\fs7</b> f(x)=x^2"> </td>
<td> <a href="#preview"><img id="sizes7" onclick="eqntext('sizes7')"
src="../cgi-bin/mimetex.cgi?\fs7 f(x)=x^2"
alt="" border=0 align=middle></a> </td> </tr>
</table> </center> <p class="continue">
rendering <b>f(x)=x^2</b> in mimeTeX font sizes
<b>0</b> (\tiny or \fs0), <b>1</b> (\small or \fs1),
<b>2</b> (\normalsize or \fs2), <b>3</b> (default \large),
<b>4</b> (\Large or \fs4), <b>5</b> (\LARGE or \fs5),
<b>6</b> (\huge or \fs6) and <b>7</b> (\Huge or \fs7). </p>
<p> You'll soon notice that exponents and \frac's and \atop's
are automatically rendered one size smaller than their base
expressions. For example, </p> <center>
<b>\Large y=e^{x^2}</b> produces
<a href="#preview"><img id="sizes4" onclick="eqntext('sizes4')"
src="../cgi-bin/mimetex.cgi?\Large y=e^{x^2}"
alt="" border=0 align=middle></a> </center> <p class="continue">
rendering the <b>"y=e"</b> in font size 4 (\Large), the <b>"x"</b> in
font size 3 (\large), and the <b>"2"</b> in font size 2 (\normalsize).
If you get below font size 0, the font size remains 0. </p>
<p> Explicit size declarations override mimeTeX's default sizing behavior.
You can rewrite the preceding example as, say, </p> <center>
<b>\Large y=e^{\normalsize x^{\tiny2}}</b> which now produces
<a href="#preview"><img id="sizes5" onclick="eqntext('sizes5')"
src="../cgi-bin/mimetex.cgi?\Large y=e^{\normalsize x^{\tiny2}}"
alt="" border=0 align=middle></a> </center> <p class="continue">
rendering the <b>"y=e"</b> in font size 4 (\Large unchanged),
the <b>"x"</b> in font size 2 (\normalsize), and the <b>"2"</b>
in font size 0 (\tiny). </p>
<p> Preceding an <b>\fs{ }</b> size argument with <b>+</b> or
<b>-</b> specifies "relative" sizing. For example,
<b>\large\text{abc{\fs{-2}def}ghi}</b> produces
<a href="#preview"><img id="sizes6" onclick="eqntext('sizes6')"
src="../cgi-bin/mimetex.cgi?\large\text{abc{\fs{-2}def}ghi}"
alt="" border=0 align=middle></a>, rendering the <b>"def"</b>
in font size 1 (two sizes smaller than \large). Note that
<b>\fs{-2}</b> affects only the subexpression in which it appears,
and that its braces are no longer optional since <b>-2</b> contains
two characters. For exponents (or any other size-changing commands
like \frac), </p> <center>
<b>\Large y=e^{\fs{-1}x^2}</b> produces
<a href="#preview"><img id="sizes7" onclick="eqntext('sizes7')"
src="../cgi-bin/mimetex.cgi?\Large y=e^{\fs{-1}x^2}"
alt="" border=0 align=middle></a> </center> <p class="continue">
rendering the <b>"y=e"</b> in font size 4 (\Large), as usual.
The <b>"x"</b> would usually be rendered one size smaller,
in font size 3, and your <b>\fs{-1}</b> is applied to that,
resulting in font size 2. And the final <b>"2"</b> is rendered,
by the usual rules, one size smaller than the <b>"x"</b>,
in font size 1. </p>
<p> Finally, illustrated below are some examples of fonts and symbols
at several mimeTeX sizes. All symbols and sizes from cmr, cmmi,
cmmib (use <b>\mathbf{ }</b>), cmsy, cmex, bbold (use
<b>\mathbb{ }</b>), rsfs (use <b>\mathscr{ }</b>),
stmary and cyrillic wncyr (use <b>{\cyr }</b> or
<b>\cyr{ }</b>) should be available, but they're not all shown.
<!-- And also not shown are various "constructed symbols" like \sqrt,
accents, etc. --> The illustrated font sizes are numbered 4=\Large,
3=\large and 2=\normalsize (not shown are 7=\Huge, 6=\huge,
5=\LARGE, 1=\small and 0=\tiny). </p>
<center> <table cellspacing="7">
<tr> <td align="left">
<font size="4">cmmi latin uppercase, and lowercase</font>
<br><img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$A&4$B&4$C&4$D,&4$a&4$b&4$c&4$d\\
2$\rm~3:~&3$E&3$F&3$G&3$H&3$I&3$J&3$K&3$L,&3$e&3$f&3$g&3$h&3$i&3$j&3$k&3$l\\
2$\rm~2:~&2$M&2$N&2$O&2$P&2$Q&2$R&2$S&2$T&2$U&2$V&2$W&2$X&2$Y&2$Z,&
2$m&2$n&2$o&2$p&2$q&2$r&2$s&2$t&2$u&2$v&2$w&2$x&2$y&2$z}"
alt="" border=0 align=middle>
</td> <tr>
<tr> <td align="left">
<font size="4">calligraphic, and rsfs (<b>\cal{A}, \scr{B}, etc</b>)</font>
<br><img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$\calA&4$\calB&4$\calC&4$\calD&4$\calE&4$\calF&4$\calG,&
4$\scrA&4$\scrB&4$\scrC&4$\scrD&4$\scrE&4$\scrF&4$\scrG\\
2$\rm~3:~&3$\calH&3$\calI&3$\calJ&3$\calK&3$\calL&3$\calM&3$\calN&3$\calO&
3$\calP,&
3$\scrH&3$\scrI&3$\scrJ&3$\scrK&3$\scrL&3$\scrM&3$\scrN&3$\scrO&3$\scrP\\
2$\rm~2:~&2$\calQ&2$\calR&2$\calS&2$\calT&2$\calU&
2$\calV&2$\calW&2$\calX&2$\calY&2$\calZ,&
2$\scrQ&2$\scrR&2$\scrS&2$\scrT&2$\scrU&2$\scrV&2$\scrW&
2$\scrX&2$\scrY&2$\scrZ}"
alt="" border=0 align=middle>
</td> <tr>
<tr> <td align="left">
<font size="4">cmmi greek uppercase, and \var lowercase</font>
<br><img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$\Gamma&4$\Delta&4$\Theta&4$\Lambda&4$\Xi&4$\Pi&4$\Sigma&
4$\Upsilon&4$\Phi&4$\Psi&4$\Omega,&4$\rm~~&4$\varepsilon&4$\vartheta&4$\varpi&
4$\varrho&4$\varsigma&4$\varphi\\
2$\rm~3:~&3$\Gamma&3$\Delta&3$\Theta&3$\Lambda&3$\Xi&3$\Pi&3$\Sigma&
3$\Upsilon&3$\Phi&3$\Psi&3$\Omega,&~&3$\varepsilon&3$\vartheta&3$\varpi&
3$\varrho&3$\varsigma&3$\varphi\\
2$\rm~2:~&2$\Gamma&2$\Delta&2$\Theta&2$\Lambda&2$\Xi&2$\Pi&2$\Sigma&
2$\Upsilon&2$\Phi&2$\Psi&2$\Omega,&~&2$\varepsilon&2$\vartheta&2$\varpi&
2$\varrho&2$\varsigma&2$\varphi}"
alt="" border=0 align=middle>
</td> <tr>
<tr> <td align="left">
<font size="4">cmmi greek lowercase</font>
<br><img src="../cgi-bin/mimetex.cgi?\array{r$
2$\rm~size~4:~&4$\alpha&4$\beta&4$\gamma&4$\delta&4$\epsilon&4$\zeta&
4$\eta&4$\theta&4$\iota&4$\kappa&4$\lambda&4$\mu&4$\nu&4$\xi&4$%%\omicron%%&
4$\pi&4$\rho&4$\sigma&4$\tau&4$\upsilon&4$\phi&4$\chi&4$\psi&4$\omega\\
2$\rm~3:~&3$\alpha&3$\beta&3$\gamma&3$\delta&3$\epsilon&3$\zeta&
3$\eta&3$\theta&3$\iota&3$\kappa&3$\lambda&3$\mu&3$\nu&3$\xi&3$%%\omicron%%&
3$\pi&3$\rho&3$\sigma&3$\tau&3$\upsilon&3$\phi&3$\chi&3$\psi&3$\omega\\
2$\rm~2:~&2$\alpha&2$\beta&2$\gamma&2$\delta&2$\epsilon&2$\zeta&
2$\eta&2$\theta&2$\iota&2$\kappa&2$\lambda&2$\mu&2$\nu&2$\xi&2$%%\omicron%%&
2$\pi&2$\rho&2$\sigma&2$\tau&2$\upsilon&2$\phi&2$\chi&2$\psi&2$\omega}"
alt="" border=0 align=middle>
</td> <tr>
<tr> <td align="left">
<font size="4">cmsy symbols at mimeTeX font size 3</font><br>
<font size="3">(operators shown large are automatically "promoted"<br>
to the larger size in \displaystyle mode)</font>
<br><img src="../cgi-bin/mimetex.cgi?\array{3,r$1$\rm~chars~\\
1$\rm~0-15:~&-&\cdot&\times&\ast&\div&\diamond&\pm&\mp&
\oplus&\ominus&\otimes&\oslash&\odot&\bigcirc&\circ&\bullet\\
1$\rm~16-31:~&\asymp&\equiv&\subseteq&\supseteq&\leq&\geq&\preceq&\succeq&
\sim&\approx&\subset&\supset&\ll&\gg&\prec&\succ\\
1$\rm~32-47:~&\leftar&\rightar&\uparr&\downar&\leftrightar&\near&\sear&
\simeq&\Leftar&\Rightar&\Upar&\Downar&\Leftrightar&\nwar&\swar&\propto\\
1$\rm~48-63:~&\prime&\infty&\in&\ni&\triangle&\bigtriangledo&/&\'&
\forall&\exists&\neg&\emptyset&\Re&\Im&\top&\bot\\
1$\rm~64-100:~&\aleph&&\calA&4$.\,.\,.&\calZ&&\cup&\cap&
\uplus&\wedge&\vee&\vdash&\dashv&\lfloor&\rfloor&\lceil\\
1$\rm~101-116:~&\rceil&\lbrace&\rbrace&\langle&\rangle&\mid&\parallel&
\updownar&\Updownar&\setminus&\wr&\surd&\amalg&\nabla&\int&\sqcup\\
1$\rm~117-127:~&\sqcap&\sqsubseteq&\sqsupseteq&\S&\dag&\ddag&\P&\clubsuit&
\Diamond&\Heart&\spadesuit}" alt="" border=0 align=middle>
</td> <tr>
<tr> <td align="left">
<font size="4">a few other cmmi, cmr, stmary and wncyr symbols
at mimeTeX font size 4</font>
<br><img src="../cgi-bin/mimetex.cgi?\array{4,r$
1$\rm~cmmi:~&\leftharpoonup&\leftharpoondo&\rightharpoonup&\rightharpoondo&
\triangleright&\triangleleft&\star&\partial&
\flat&\natural&\sharp&\smile&\frown&\ell&\imath&\jmath&\wp&\vec\\
1$\rm~cmr:~&\ss&\ae&\oe&\AE&\OE \\
1$\rm~stmary:~&\moo&\Lbag&\Rbag&\lightning&\llbracket&\rrbracket&
\subsetpluseq&\supsetpluseq&\Yup&\Ydown\\
1$\rm~wncyr:~&\cyr A&\cyr a&\cyr B&\cyr b&\cyr V&\cyr v&\cyr G&\cyr g&
\cyr D&\cyr d&\cyr Dj&\cyr dj&\cyr\=E&\cyr\=e&\cyr Zh&\cyr zh}"
alt="" border=0 align=middle>
</td> <tr>
</table> </center>
<h3> <a name="modes">Modes<font size=5>...</font></a> </h3>
<p> MimeTeX is always in a math-like mode, so you needn't surround
expressions with <b>$...$</b>'s for <b>\textstyle</b>,
or <b>$$...$$</b>'s for <b>\displaystyle</b>.
<!-- or <b>\[...\]</b>'s, etc. In fact, mimeTeX interprets <b>$</b>
as a "preamble" terminator (e.g., see <a href="#array">\array</a>
below), and interprets <b>\[...\]</b> as an abbreviation for
<b>\left[...\right]</b>. -->
By default, operator limits like <b>\int_a^b</b> are rendered
<b>\textstyle</b> <a href="#preview">
<img id="modes99a" onclick="eqntext('modes99a')"
src="../cgi-bin/mimetex.cgi?\normalsize\int_a^b"
alt="" border=0 align=middle></a> at font sizes <b>\normalsize</b>
and smaller, and rendered <b>\displaystyle</b> <a href="#preview">
<img id="modes99b" onclick="eqntext('modes99b')"
src="../cgi-bin/mimetex.cgi?\large\int_a^b"
alt="" border=0 align=middle></a> at font sizes <b>\large</b> and
larger (see the <b>-DDISPLAYSIZE</b>
<a href="#options">compile option</a> to change this default).
And when <b>\displaystyle</b> is invoked (either implicitly at font size
<b>\large</b> or larger, or if you explicitly write <b>\displaystyle</b>
at any font size), then operators <b>\int</b>, <b>\sum</b>,
<b>\prod</b>, etc, are automatically promoted to larger sizes.
<!-- their <a href="#characters">\Bigxxx</a> counterparts. -->
<!-- Conversely, <b>\displaystyle</b> is applied to all
<a href="#characters">\Bigxxx</a> operators regardless of font size. -->
<!-- i.e., super/subscripts are placed directly above/below
<b>\Bigsum</b>, but "alongside" <b>\sum</b>. -->
For example, </p> <center>
<!-- <b>\Bigsum_{i=1}^ni=\frac{n(n+1)}2</b> produces
<a href="#preview"><img id="modes1a" onclick="eqntext('modes1a')"
src="../cgi-bin/mimetex.cgi?
\normalsize\Bigsum_{i=1}^ni=\frac{n(n+1)}2"
alt="" border=0 align=middle></a>, <br> -->
<b>\normalsize \sum_{i=1}^ni=\frac{n(n+1)}2</b>
produces
<a href="#preview"><img id="modes2a" onclick="eqntext('modes2a')"
src="../cgi-bin/mimetex.cgi?\normalsize\sum_{i=1}^ni=\frac{n(n+1)}2"
alt="" border=0 align=middle></a>, whereas <br>
<b>\displaystyle \normalsize \sum_{i=1}^ni=\frac{n(n+1)}2</b>
produces
<a href="#preview"><img id="modes1b" onclick="eqntext('modes1b')"
src="../cgi-bin/mimetex.cgi?
\normalsize\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2"
alt="" border=0 align=middle></a>, </center>
<p class=continue> and <!-- replacing <b>\Bigsum</b> with the smaller
<b>\sum</b> symbol, --> </p> <center>
<b>\large \sum_{i=1}^ni=\frac{n(n+1)}2</b> produces
<a href="#preview"><img id="modes1b" onclick="eqntext('modes1b')"
src="../cgi-bin/mimetex.cgi?\large\sum_{i=1}^ni=\frac{n(n+1)}2"
alt="" border=0 align=middle></a>, whereas <br>
<b>\textstyle \large \sum_{i=1}^ni=\frac{n(n+1)}2</b>
produces
<a href="#preview"><img id="modes2b" onclick="eqntext('modes2b')"
src="../cgi-bin/mimetex.cgi?\textstyle\large
\sum_{i=1}^ni=\frac{n(n+1)}2" alt="" border=0 align=middle></a>.
<!-- instead. --> </center>
<p> As usual, <b>\nolimits</b> turns displaystyle off (or textstyle on)
for the operator immediately preceding it. For example, </p> <center>
<b>\large \sum\nolimits_{i=1}^ni=\frac{n(n+1)}2</b>
produces
<a href="#preview"><img id="modes3" onclick="eqntext('modes3')"
src="../cgi-bin/mimetex.cgi?
\large\sum\nolimits_{i=1}^ni=\frac{n(n+1)}2"
alt="" border=0 align=middle></a></center> <p class="continue">
and likewise, <b>\limits</b> turns displaystyle on for the operator
immediately preceding it. For example, </p> <center>
<b>\normalsize \sum\limits_{i=1}^ni=\frac{n(n+1)}2</b>
produces
<a href="#preview"><img id="modes4" onclick="eqntext('modes4')"
src="../cgi-bin/mimetex.cgi?
\normalsize\sum\limits_{i=1}^ni=\frac{n(n+1)}2"
alt="" border=0 align=middle></a> </center>
<p> By the way, <b>\limits</b> affects <i><b>_any_</b></i> character
or subexpression immediately preceding it. For example, </p> <center>
<b>A^i_j</b> produces
<a href="#preview"><img id="modes5" onclick="eqntext('modes5')"
src="../cgi-bin/mimetex.cgi?\large A^i_j"
alt="" border=0 align=middle></a> as usual, whereas <br>
<b>A\limits^i_j</b> produces
<a href="#preview"><img id="modes6" onclick="eqntext('modes6')"
src="../cgi-bin/mimetex.cgi?\large A\limits^i_j"
alt="" border=0 align=middle></a> instead. </center>
<p class="continue">Likewise, for subexpressions, </p> <center>
<b>\widehat{xyz}\limits^a</b> produces
<a href="#preview"><img id="modes7" onclick="eqntext('modes7')"
src="../cgi-bin/mimetex.cgi?\large\widehat{xyz}\limits^a"
alt="" border=0 align=middle></a> </center> <p class="continue">
This side effect may occasionally be useful. For example, </p> <center>
<b>x\rightarrow\limits^gy</b> produces
<a href="#preview"><img id="modes8" onclick="eqntext('modes8')"
src="../cgi-bin/mimetex.cgi?\large x\rightarrow\limits^gy"
alt="" border=0 align=middle></a> </center> <p class="continue">
(mimeTeX automatically centers super/subscripts above/below
the long and Long <a href="#arrows">arrow</a> forms) </p>
<p> The <b>\displaystyle</b> command turns on displaystyle math mode for
the entire expression (or <b>{ }</b>-enclosed subexpression),
affecting <b><i>_all_</i></b> super/subscripts to the right
of the \displaystyle, except for character classes Ordinary and
Variable (TeXbook page 154). Similarly, <b>\textstyle</b> turns
off displaystyle math mode. For example, </p> <center>
<b>\sum_1^n {\displaystyle\sum_1^k\sum_1^lx_i^j} \sum_1^m</b>
produces
<a href="#preview"><img id="modes9" onclick="eqntext('modes9')"
src="../cgi-bin/mimetex.cgi?\normalsize\sum_1^n
{\displaystyle\sum_1^k\sum_1^lx_i^j}\sum_1^m"
alt="" border=0 align=middle></a> </center> <p class="continue">
Note that <b>\sum</b>'s within the subexpression are all affected by
the beginning <b>\displaystyle</b>, but not the Variable <b>x_i^j</b>.
An explicit <b>x\limits_i^j</b> always affects any preceding term. </p>
<h3> <a name="textboxes">text boxes<font size=5>...</font></a> </h3>
<p> Finally, mimeTeX also has a text-like/roman mode
entered by writing either <b>\text{anything at all}</b>
or the equivalent LaTeX-2.09-like command
<b>{\rm anything at all}</b>, both of which render
<b>anything at all</b> in roman (font family cmr10).
<b>\mbox{ }</b> and several similar LaTeX commands are
recognized by mimeTeX as synonyms for <b>\text{ }</b>.
For italic, write <b>\textit{anything at all}</b> or
<b>{\it anything at all}</b>, both of which render
<b>anything at all</b> in italic (font family cmmi10).
All four forms respect spaces between words, except that the
first/required space after <b>{\rm etc}</b> and
<b>{\it etc}</b> is still ignored. <!-- Math <b>$...$</b>
subexpressions inside <b>\mbox{ }</b> or <b>\text{ }</b>
are treated in the usual way. --> For example, </p> <center>
<b>anything at all</b> just produces
<a href="#preview"><img id="textboxes1" onclick="eqntext('textboxes1')"
src="../cgi-bin/mimetex.cgi?\normalsize anything at all"
alt="" border=0 align=middle></a> whereas <br> <br>
<b>\text{anything at all}</b> produces
<a href="#preview"><img id="textboxes2" onclick="eqntext('textboxes2')"
src="../cgi-bin/mimetex.cgi?\normalsize\text{anything at all}"
alt="" border=0 align=middle></a> and <br> <br>
<b>\textit{anything at all}</b> produces
<a href="#preview"><img id="textboxes3" onclick="eqntext('textboxes3')"
src="../cgi-bin/mimetex.cgi?\normalsize\textit{anything at all}"
alt="" border=0 align=middle></a> instead. </center>
<p> You don't usually surround mimeTeX expressions with <b>$</b>'s,
but that works in the usual way for <b>\text{ }</b> and
<b>\mbox{ }</b>, rendering the <b>$...$</b>-enclosed
subexpression in mathmode. For example, </p> <center>
<b>n=\left\{m/2\text{ if $m$ even}
\\(m+1)/2\text{ if $m$ odd}\right.</b>
produces
<a href="#preview"><img id="textboxes9" onclick="eqntext('textboxes9')"
src="../cgi-bin/mimetex.cgi?
n=\left\{m/2\text{ if $m$ even}\\(m+1)/2\text{ if $m$ odd}\right."
alt="" border=0 align=middle></a> </center>
<h2> <a name="delimiters"> (IIIc) Delimiters </a> </h2>
<h3> <a name="parens">Parentheses and Braces
(delimiters)<font size=5>...</font></a> </h3>
<p> LaTeX's <b>\left( ... \right)</b> and the other 21
standard LaTeX delimiters are also recognized by mimeTeX.
And mimeTeX also recognizes an etex-like <b>\middle</b>.
<!-- may be written exactly
like that, or may be abbreviated <b>\(</b> and <b>\)</b> in mimeTeX.
Not all <b>\left</b> and <b>\right</b> LaTeX delimiters are currently
available in mimeTeX, but those that are can be written in the usual
way, or can be abbreviated as described above. One exception is
that <b>\left\|...\right\|</b> must instead be abbreviated
<b>\=...\=</b> or can be written in full <b>\left\|...\right\|</b>
as usual. Also, <b>\left\langle...\right\rangle</b> is abbreviated
<b>\<...\></b> . </p> -->
<!-- <p> Mixing abbreviated and unabbreviated delimiters within
a matching pair is not allowed, e.g., \left(...\) <b>_won't_</b> work.
But you can mix nested pairs, e.g., <b>\left(...\(...\)...\right)</b>
will work as long as the matching delimiters comprising each pair are
either both abbreviated or both unabbreviated. </p>
<p> --> Several of the most common automatically sized delimiters
are illustrated below... </p> <center>
<!-- <table cellpadding=3 cellspacing=0 border=1> -->
<table cellspacing=0 cellpadding=2 border=1>
<tr align=center>
<!-- <td> <b>LaTeX or <br> mimeTeX</b> </td> -->
<td> <b>Delimiter</b> </td>
<!-- <td> <b>or mimeTeX <br> abbreviation</b> </td> -->
<td> <b>example...</b> </td>
<td> <b>...renders</b> </td>
</tr>
<tr align=center>
<td> \left( ... \right) </td>
<!-- <td> \( ... \) </td> -->
<td> \left( \frac1{1-x^2} \right)^2 </td>
<td> <a href="#preview"><img id="parens1" onclick="eqntext('parens1')"
src="../cgi-bin/mimetex.cgi?\Large\left(\frac1{1-x^2}\right)^2"
alt="" border=0 align=middle></a> </td>
</tr>
<tr align=center>
<td> \left[ ... \right] </td>
<!-- <td> \[ ... \] </td> -->
<td> \left[ \frac1{\sqrt2}x - y \right]^n </td>
<td> <a href="#preview"><img id="parens2" onclick="eqntext('parens2')"
src="../cgi-bin/mimetex.cgi?\Large
\left[ \frac1{\sqrt2}x - y \right]^n"
alt="" border=0 align=middle></a> </td>
</tr>
<tr align=center>
<td> \left\{ ... \right\} </td>
<!-- <td> \{ ... \} </td> -->
<td> \left\{ 1^2,2^2,3^2,\ldots \right\} </td>
<td> <a href="#preview"><img id="parens3" onclick="eqntext('parens3')"
src="../cgi-bin/mimetex.cgi?
\large\left\{1^2,2^2,3^2,\ldots\right\}"
alt="" border=0 align=middle></a> </td>
</tr>
<tr align=center>
<td> \left\langle ...<br>
... \right\rangle </td>
<!-- <td> \< ... \> </td> -->
<td> \left\langle \varphi \middle| \hat H <br>
\middle| \phi \right\rangle </td>
<td> <a href="#preview"><img id="parens4" onclick="eqntext('parens4')"
src="../cgi-bin/mimetex.cgi?\Large
\left\langle\varphi\middle|\hat H\middle|\phi\right\rangle"
alt="" border=0 align=middle></a> </td>
</tr>
<tr align=center>
<td> \left| ... \right| </td>
<!-- <td> \| ... \| </td> -->
<td> \left| \begin{matrix} a_1 & a_2 \\<br>
a_3 & a_4 \end{matrix} \right|</td>
<td> <a href="#preview"><img id="parens5" onclick="eqntext('parens5')"
src="../cgi-bin/mimetex.cgi?\large
\left|\begin{matrix}a_1&a_2\\a_3&a_4\end{matrix}\right|"
alt="" border=0 align=middle></a> </td>
</tr>
<tr align=center>
<td> \left\| ... \right\| </td>
<!-- <td> \= ... \= </td> -->
<td> \left\|x^2-y^2\right\| </td>
<td> <a href="#preview"><img id="parens6" onclick="eqntext('parens6')"
src="../cgi-bin/mimetex.cgi?\large\left\|x^2-y^2\right\|"
alt="" border=0 align=middle></a> </td>
</tr>
<tr align=center>
<td> \left\{ ...
\right<font size="5"><b>.</b></font> </td>
<!-- <td> \{ ... \<b>.</b> </td> -->
<td> y=\left\{ \text{this\\that}
\right<font size="5"><b>.</b></font> </td>
<td> <a href="#preview"><img id="parens7" onclick="eqntext('parens7')"
src="../cgi-bin/mimetex.cgi?
\large y=\left\{\text{this\\that}\right."
alt="" border=0 align=middle></a> </td>
</tr>
<tr align=center>
<td> \left<font size="5"><b>.</b></font>
... \right\} </td>
<!-- <td> \<b>.</b> ... \} </td> -->
<td> \left<font size="5"><b>.</b></font>
\text{this\\that} \right\}=y </td>
<td> <a href="#preview"><img id="parens8" onclick="eqntext('parens8')"
src="../cgi-bin/mimetex.cgi?
\large\left.\text{this\\that}\right\}=y"
alt="" border=0 align=middle></a> </td>
</tr>
</table> </center>
<p> <b><u>Notes... </u></b> </p>
<ol compact type=1>
<!-- <li> The other LaTeX delimiters, i.e., floor's, ceil's,
arrows, etc, can't yet be sized to fit. </li> -->
<li> <a href="#sizes">Size declarations</a> inside any of the
above delimiter pairs affect only the enclosed subexpression,
e.g., <b>\Large w=\left(\small x+y\right)+z</b> produces
<a href="#preview"><img id="parens9" onclick="eqntext('parens9')"
src="../cgi-bin/mimetex.cgi?\Large w=\left(\small x+y\right)+z"
alt="" border=0 align=middle></a> </li>
<li> An expression may contain as many etex-like <b>\middle</b>'s as
you like, and in mimeTeX the surrounding <b>\left...\right</b>
isn't required. When omitted, the scope of <b>\middle</b> is
either the entire expression or the <b>{ }</b>-enclosed
subexpression in which the <b>\middle</b>'s occur. For example,
<b>\frac{a+1}b \middle/ \middle(\frac{c+1}d \middle/ \frac{e+1}f\middle)</b>
renders
<img src="../cgi-bin/mimetex.cgi?\large
\frac{a+1}b\middle/\middle(\frac{c+1}d\middle/\frac{e+1}f\middle)"
border=0 align=middle>. </li>
<li> In the last two examples, note that mimeTeX recognizes the
<b>\\</b> in <b>\text{this\\that}</b>
as a linebreak. For example, <b>x=1\\y=2\\z=3</b> renders
<a href="#preview"><img id="parens9b" onclick="eqntext('parens9b')"
src="../cgi-bin/mimetex.cgi?\small x=1\\y=2\\z=3"
alt="" border=0 align=middle></a> </li>
<!-- <li> An abbreviated left delimiter must be paired with the same
"type" of matching right delimiter, e.g., <b>\[...\]</b> works
whereas <b>\[...\)</b> doesn't work. To render an "unmatched"
pair of delimiters you must use the unabbreviated form, e.g.,
<b>\left[...\right)</b> works fine. </li> -->
<!-- <li> Similarly, "unusual" delimiter abbreviations like
<b>\)...\(</b> also don't work in mimeTeX. That is,
<b>(, [, <, {,</b> etc, must always be "left"
in mimeTeX, and <b>), ], >, },</b> etc,
must always be "right". To render "unusual" delimiter pairs you
must use the unabbreviated form, e.g., <b>\left)...\right[</b>
works fine. </li> -->
<!-- <li> <b>\right.</b> may be paired with any of the automatically
sized delimiters, and may optionally be abbreviated as <b>\.</b>
The same <b>\.</b> also serves as an abbreviation
for <b>\left.</b> MimeTeX correctly interprets your
intention if you correctly balance delimiters. For example,
either <b>y=\left\{{this\atop that}\right.</b> or
<b>y=\{{this\atop that}\.</b> renders the usual useful
construction
<a href="#preview"><img id="parens10" onclick="eqntext('parens10')"
src="../cgi-bin/mimetex.cgi?
\normalsize y=\{\text{this\atop that}\."
alt="" border=0 align=middle></a> illustrated above. </li> -->
<!-- <li> However, abbreviated <b>\.</b>'s cannot be nested in mimeTeX,
e.g., <b>\[\(...\.\.</b> doesn't work. Instead, unabbreviated
<b>\left.</b> and <b>\right.</b> may be nested, e.g.,
<b>\left[\left(...\right.\right.</b> works fine. </li> -->
<!-- <li> Simply nested abbreviations like <b>\[\(...\)\]</b> work
fine in mimeTeX. But abbreviated delimiters like <b>\|...\|</b>
and <b>\=...\=</b>, whose left and right forms are
identical, cannot be nested. To nest these delimiters you
must use the corresponding unabbreviated <b>\left|..\right|</b>
and <b>\left\|...\right\|</b>. </li> -->
<!-- <li> All <b>\left(...\right)</b>'s (and abbreviated
<b>\(...\)</b>'s), etc, must be correctly balanced,
which may include being matched with <b>\left.</b>
or <b>\right.</b> (or abbreviated <b>\.</b>).
And, to repeat, you may <b>_not_</b> mix
abbreviated and unabbreviated \(...\right), etc, within a
matching pair. </li> -->
</ol>
<p> Besides the <b>\left...\right</b> delimiters discussed above,
mimeTeX also supports constructions like
<b>\left\int_a^b...\right<b>.</b></b> , which automatically
sizes the <b>\left\int</b> to accommodate everything between it
and its matching <b>\right<b>.</b></b> delimiter.
The <b>\right</b> delimiter needn't necessarily be
the <b>\right<b>.</b></b> illustrated, e.g.,
<b>\left\int_a^b x^2dx =\frac{x^3}3\right|_a^b</b>
produces
<a href="#preview"><img id="parens11" onclick="eqntext('parens11')"
src="../cgi-bin/mimetex.cgi?\large
\left\int_a^bx^2dx=\frac{x^3}3\right|_a^b" border=0 alt=""
align=middle></a>. <!-- Except for Opening (TeX class 4) and
Closing (class 5) delimiter characters like <b>( )</b> and
<b>[ ]</b> and <b>\{ \}</b>, limits are default-rendered
\displaystyle, which is why <b>\right|\nolimits_a^b</b> was required. -->
You can also write <b>\left\sum</b>, <b>\left\prod</b>,
<b>\left\cup</b>, etc, for many of the symbols in CMEX10 and STMARY10.
And any symbol that works with <b>\left</b> will also work
with <b>\right</b> . <!-- But mimeTeX abbreviations like
<b>\(...\)</b> for <b>\left(...\right)</b>
won't work with any of these CMEX10 symbols. You'll have to write
the usual unabbreviated <b>\left...\right</b> form. --> </p>
<p> Unescaped <b>( )</b>'s and <b>[ ]</b>'s and <b>| |</b>'s
and <b>< ></b>'s don't need to be balanced since mimeTeX just
displays them like ordinary characters without any special significance.
Ditto for the usual four <b>\big(</b> and <b>\Big(</b> and <b>\bigg(</b>
and <b>\Bigg(</b>, and for their four right <b>)</b> counterparts, which
just display <b>(...)</b>'s at fixed larger sizes, and also have no
special significance. All four big <b>[ ]</b>'s and
<b>< ></b>'s and <b>{ }</b>'s are also available
as ordinary characters. </p>
<p> As usual, unescaped <b>{...}</b>'s aren't displayed at all,
must be balanced, and have the usual special LaTeX significance.
MimeTeX interprets escaped <b>\{...\}</b>'s as abbreviations
for <b>\left\{...\right\}</b> and therefore always sizes them to fit.
If you need displayed but unsized <b>{...}</b>'s, write
<b>\lbrace...\rbrace</b> or any of the four <b>\big{...\big}</b>'s. </p>
<h2> <a name="accents"> (IIId) Accents, Functions, Arrows,
Raise and rotate, Compose, Abbreviations, etc. </a> </h2>
<h3> Accents<font size=5>...</font> </h3>
<p class="continue">
<b>\vec{ } \hat{ } \bar{ } \tilde{ } \dot{ }
\ddot{ }</b> and <b>\acute{ } \grave{ }
\breve{ } \check{ }</b> are the only accents currently
supported. The first four are all "wide". For example, you can write
<b>\widehat{ }</b> if you like, but there's absolutely no
difference either way (and <b>\bar{ }</b> and
<b>\overline{ }</b> are identical). The last four accents
only take a single character argument. <p>
<p> Other accent-like directives available in mimeTeX are
<b>\underline{ } \cancel{ } \sout{ }</b>,
as well as
<b>\overset{ }{ } \underset{ }{ }</b>
and the more ususal
<b>\overbrace{ }^{ } \underbrace{ }_{ }</b>.
And <b>\not</b> also works on the single character immediately
following it. Some of these directives are discussed in more detail
below. </p>
<h3> <a name="functions">Function names<font size=5>...</font></a> </h3>
<p> All 32 usual LaTeX function names <b>\arccos</b>,...,<b>\tanh</b>
are recognized by mimeTeX and treated in the usual way. MimeTeX
also recognizes <b>\tr</b> for the trace, and also <b>\bmod</b>
and <b>\pmod</b>. And those functions that normally take "limits"
also behave as expected, e.g., </p> <center>
<b>\lim_{n\to\infty}S_n=S</b> produces
<a href="#preview"><img id="functions1" onclick="eqntext('functions1')"
src="../cgi-bin/mimetex.cgi?\large\lim_{n\to\infty}S_n=S"
alt="" border=0 align=middle></a> </center>
<h3> <a name="arrows">long Arrows<font size=5>...</font></a> </h3>
<p> All mimeTeX \long and \Long arrows take an optional [width] argument
that explicitly sets the arrow's width in pixels, scaled by
<a href="#unitlength">\unitlength</a>. For example,
<b>\longrightarrow[50]</b> draws a 50-pixel wide arrow
<a href="#preview"><img id="arrows1" onclick="eqntext('arrows1')"
src="../cgi-bin/mimetex.cgi?\longrightarrow[50]" alt="" border=0
align=middle></a>, whereas just <b>\longrightarrow</b> calculates
a default width
<a href="#preview"><img id="arrows2" onclick="eqntext('arrows2')"
src="../cgi-bin/mimetex.cgi?\longrightarrow" alt="" border=0
align=middle></a>, as usual. And, in addition to the usual
right, left and leftright arrows, there are also \long (and \Long) up,
down and updown arrows that take an optional [height] argument, also
scaled by any preceding <a href="#unitlength">\unitlength</a>. </p>
<p> In the event that you actually want to place an []-enclosed expression
immediately following an "unsized" long arrow, just place a <b>~</b> or
any white space after the arrow, e.g., <b>f:x\longrightarrow~[0,1]</b>
produces
<a href="#preview"><img id="arrows3" onclick="eqntext('arrows3')"
src="../cgi-bin/mimetex.cgi?\normalsize f:x\longrightarrow~[0,1]"
alt="" border=0 align=middle></a>. Without any intervening white space,
mimeTeX would have "eaten" the [0,1]. </p>
<p> Super/subscripts immediately following all long/Long left/right arrows
are displayed the same way <a href="#modes">\limits</a> displays them,
e.g., </p> <center>
<b>x\longrightarrow^gy</b> produces
<a href="#preview"><img id="arrows4" onclick="eqntext('arrows4')"
src="../cgi-bin/mimetex.cgi?\large x\longrightarrow^gy"
alt="" border=0 align=middle></a> <br>
<b>x\longrightarrow[50]^gy</b> produces
<a href="#preview"><img id="arrows5" onclick="eqntext('arrows5')"
src="../cgi-bin/mimetex.cgi?\large x\longrightarrow[50]^gy"
alt="" border=0 align=middle></a> </center> <p class="continue">
Subscripted long arrows can occasionally be useful, too, as in
<a href="#example11">Example 11</a> above, e.g., </p> <center>
<b>u\longrightarrow[50]_\beta v</b> produces
<a href="#preview"><img id="arrows6" onclick="eqntext('arrows6')"
src="../cgi-bin/mimetex.cgi?\large u\longrightarrow[50]_\beta^{\,}v"
alt="" border=0 align=middle></a> </center> <p class="continue">
To defeat this default behavior, e.g., <b>\longrightarrow\nolimits^g</b>
displays super/subscripts in the usual way. </p>
<p> Super/subscripts immediately following all long/Long up/down arrows
are treated correspondingly, i.e., superscripts are vertically
centered to the arrow's left, and subscripts to its right.
For example, </p> <center>
<b>\longuparrow[30]^\gamma</b> produces
<a href="#preview"><img id="arrows7" onclick="eqntext('arrows7')"
src="../cgi-bin/mimetex.cgi?\large\longuparrow[30]^\gamma"
alt="" border=0 align=middle></a> <br>
<b>\longdownarrow[30]_\gamma</b> produces
<a href="#preview"><img id="arrows8" onclick="eqntext('arrows8')"
src="../cgi-bin/mimetex.cgi?\large\longdownarrow[30]_\gamma"
alt="" border=0 align=middle></a> </center> <p class="continue">
whose occasional usefulness is also illustrated by
<a href="#example11">Example 11</a>. And as before, to defeat
this default behavior, e.g., <b>\longuparrow\nolimits^\gamma</b>
displays super/subscripts in the usual way. </p>
<h3> <a name="raiserotate">\raisebox{ }{ } and
\rotatebox{ }{ } and \reflectbox[ ]{ }
<font size=5>...</font></a> </h3>
<p> The <b>\raisebox{<i>height</i>}{<i>expression</i>}</b>
and <b>\rotatebox{<i>angle</i>}{<i>expression</i>}</b>
and <b>\reflectbox[<i>axis</i>]{<i>expression</i>}</b>
commands help you fine-tune and manipulate mimeTeX renderings: </p>
<ul>
<li> <b>\raisebox</b>'s <b><i>height</i></b> argument is number
of pixels, scaled by <a href="#unitlength">\unitlength</a>,
and can be positive or negative. </li>
<li> <b>\rotatebox</b>'s <b><i>angle</i></b> argument is number
of degrees, and can also be positive (for clockwise) or
negative, but must be a multiple of 90. </li>
<li> <b>\reflectbox</b>'s optional <b><i>axis</i></b> argument
defaults to 1 if not given, which reflects horizontally
(the usual LaTeX behavior), or reflects vertically if
specified as 2. </li>
<li> For all three commands, the <b><i>expression</i></b>
can be any valid LaTeX/mimeTeX expression. </li>
</ul>
<p> For example, mimeTeX's preprocessor
defines the LaTeX <b>?`</b> symbol, an upside-down question
mark, like </p> <center>
<b>abc\raisebox{-2}{\rotatebox{180}?}def</b> produces
<a href="#preview"><img id="raiserot1" onclick="eqntext('raiserot1')"
src="../cgi-bin/mimetex.cgi?
\large\rm abc\raiseb{-2}{\rotateb{180}{\LARGE?}}def"
alt="" border=0 align=middle></a> </center>
<p> Using <b>\reflectbox[2]{ }</b> instead of
<b>\rotatebox{180}{ }</b> would result in the slightly
different </p> <center>
<b>abc\raisebox{-2}{\reflectbox[2]?}def</b> produces
<a href="#preview"><img id="raiserot2" onclick="eqntext('raiserot2')"
src="../cgi-bin/mimetex.cgi?
\large\rm abc\raiseb{-2}{\reflectb[2]{\LARGE?}}def"
alt="" border=0 align="bottom"></a> </center>
<h3> <a name="compose">\compose{ }{ }<font size=5>...</font></a></h3>
<p class="continue">
<b>\compose[<i>offset</i>]{<i>base</i>}{<i>overlay</i>}</b>
superimposes the <b><i>overlay</i></b> expression on top of the
<b><i>base</i></b> expression, displaying the result.
The superimposed <b><i>overlay</i></b> is centered, both
horizontally and vertically, on the <b><i>base</i></b> image,
with the composite image baseline
<!-- the same as the <b><i>base</i></b>. -->
completely ignored.
That means the <b><i>base</i></b> remains positioned in your expression
just as if it had been rendered alone, while the <b><i>overlay</i></b>
is moved around, vertically as well as horizontally, to accommodate it.
For example, </p> <center>
<b>\compose{\LARGE O}{\normalsize c}</b> renders
<a href="#preview"><img id="compose1" onclick="eqntext('compose1')"
src="../cgi-bin/mimetex.cgi?\compose{\LARGE O}{\normalsize c}"
alt="" border=0 align="bottom"></a> </center>
<p> Optionally, the <b><i>overlay</i></b> is horizontally
<b><i>offset</i></b> by the specified number of pixels
(positive offsets to the right, negative to the left).
For example, </p> <center>
<b>\compose[-4]{\LARGE O}{\normalsize c}</b> renders
<a href="#preview"><img id="compose2" onclick="eqntext('compose2')"
src="../cgi-bin/mimetex.cgi?\compose[-4]{\LARGE O}{\normalsize c}"
alt="" border=0 align="bottom"></a> </center>
<p> Vertical offset can be obtained using a <b>\raisebox</b>
in either the <b><i>base</i></b> or <b><i>overlay</i></b>
expression, or in both. (Although, note that
<b>\compose{\raisebox{10}{<i>base</i>}}{<i>overlay</i>}</b>
renders identically to
<b>\raisebox{10}{\compose{<i>base</i>}{<i>overlay</i>}}</b>,
so applying <b>\raisebox</b> to the <b><i>base</i></b>
expression is typically unnecessary.)
Vertical <b><i>overlay</i></b> offset is relative to the
centered image, as discussed immediately above,
i.e., <b>\compose{<i>base</i>}{\raisebox{0}{<i>overlay</i>}}</b>
has no effect at all, and the <b><i>overlay</i></b> image
remains centered on the <b><i>base</i></b>.
For example, </p> <center>
<b>abc\compose{\LARGE O}{\raisebox{5}{\normalsize c}}def</b>
renders
<a href="#preview"><img id="compose3" onclick="eqntext('compose3')"
src="../cgi-bin/mimetex.cgi?
abc\compose{\LARGE O}{\raisebox{5}{\normalsize c}}def"
alt="" border=0 align="bottom"></a>, and <br>
<b>abc\compose{\raisebox{10}{\LARGE O}}{\raisebox{-20}{\normalsize c}}def</b>
renders
<a href="#preview"><img id="compose3" onclick="eqntext('compose3')"
src="../cgi-bin/mimetex.cgi?abc
\compose{\raisebox{10}{\LARGE O}}{\raisebox{-20}{\normalsize c}}def"
alt="" border=0 align="bottom"></a></center>
<p> Separately or in some judicious combination, <b>\compose</b> and
<b>\raisebox</b> and <b>\rotatebox</b> and <b>\reflectbox</b>,
discussed above, perhaps along with <b>\rule</b> and <b>\eval</b>
discussed immediately below, may help you construct special symbols
not "natively" available with mimeTeX's limited set of built-in font
families. This can be especially useful in conjunction with the
<a href="#newcommands">–DNEWCOMMANDS</a> compile-time
<a href="#options">option</a> discussed above. </p>
<h3> <a name="rule">\rule{ }{ }<font size=5>...</font></a></h3>
<p class="continue">
<b>\rule{<i>width</i>}{<i>height</i>}</b> behaves in the usual way,
rendering a black rectangle <b><i>width</i></b> pixels wide and
<b><i>height</i></b> pixels high, with its base on the established
baseline. For example, </p> <center>
<b>\frac12xyz\rule{10}{20}ghi</b> produces
<a href="#preview"><img id="rule1" onclick="eqntext('rule1')"
src="../cgi-bin/mimetex.cgi?\frac12xyz\rule{10}{20}ghi"
alt="" border=0 align=middle></a> </center>
<p> The mimeTeX version of <b>\rule</b> has an optional
<b>[<i>lift</i>]</b> argument, so that its full form is
<b>\rule[<i>lift</i>]{<i>width</i>}{<i>height</i>}</b>.
<b><i>lift</i></b> moves the rule's baseline by the specified
number of pixels, up if positive or down if negative.
For example, </p> <center>
<b>\frac12xyz\rule[5]{10}{20}ghi</b> produces
<a href="#preview"><img id="rule2" onclick="eqntext('rule2')"
src="../cgi-bin/mimetex.cgi?\frac12xyz\rule[5]{10}{20}ghi"
alt="" border=0 align=middle></a> and <br>
<b>\frac12xyz\rule[-15]{10}{20}ghi</b> produces
<a href="#preview"><img id="rule3" onclick="eqntext('rule3')"
src="../cgi-bin/mimetex.cgi?\frac12xyz\rule[-15]{10}{20}ghi"
alt="" border=0 align=middle></a> </center>
<h3> <a name="evaluate">\eval{ }<font size=5>...</font></a> </h3>
<p class="continue"> mimeTeX can evaluate arithmetic expressions,
which is a feature intended primarily for use in
<a href="#newcommands">\newcommand's</a> discussed above.
Expressions can be built up from the following elements </p>
<ul>
<li> digits <b>0</b>-<b>9</b>
and numbers composed of uninterrupted (no whitespace)
sequences of digits, </li>
<li> binary operators
<b>+</b>, <b>-</b>, <b>*</b>, <b>/</b>, <b>%</b>
(<b>+</b> and <b>-</b> can be unary, preceding
the first number in an expression, and <b>%</b> is
the modulo operator), </li>
<li> balanced <b>(</b> ... <b>)</b>
parentheses nested to any level (see below), </li>
<li> whitespace anywhere
(except between digits comprising a number), </li>
<li> One additional construction interpreted by <b>\eval{ }</b>
is similar to (but not identical to) the
<a href="http://wikipedia.org/wiki/Conditional_(programming)#As_a_ternary_operator"
target="_top">?: conditional</a>, as follows.
The expression <b>(i?v0:v1:v2:<i>etc</i>)</b>, usually
parenthesized as illustrated, evaluates to <b>v0</b>
if <b>i</b> evaluates to <b>0</b>, or evaluates to <b>v1</b>
if <b>i</b> evaluates to <b>1</b>, etc. If <b>i < 0</b>
then <b>v0</b> is used, and if <b>i</b> is too large, the last
<b>v</b> is used. All components, <b>i</b> and all <b>v</b>'s,
can themselves be expressions, even another
<b>(i?v0:v1:v2:<i>etc</i>)</b>, which in this case must be
parenthesized. The only situation where parentheses aren't
required is when <b>i?v0:v1:v2:<i>etc</i></b> comprises
your entire expression.
For example, <br> <nobr>
<b>\eval{1+2?10:11:12:13:14:15}</b> renders
<a href="#preview"><img id="eval1" onclick="eqntext('eval1')"
src="../cgi-bin/mimetex.cgi?\large\eval{1+2?10:11:12:13:14:15}"
alt="" border=0 align=bottom></a></nobr></li>
<li> and <u> most importantly, </u>
the built-in variables<br>
<b>fs</b> for current fontsize and<br>
<b>unitlength</b> for unitlength<br>
which provide the capability for useful constructions,
as follows... </li>
</ul>
<p> All optional <b>[</b> <b>]</b> and mandatory
<b>{</b> <b>}</b> numeric arguments for
<a href="#rule">\rule[lift]{width}{height}</a>,
<a href="#compose">\compose[offset]{ }{ }</a>,
<a href="#raiserotate">\raisebox{height}{ }</a>,
<a href="#raiserotate">\rotatebox{angle}{ }</a>, and
<a href="#arrows">\longarrow[width]</a>
can be expressions as described above, rather than just
numeric constants. By using the <b>fs</b> variable, you can
construct <a href="#newcommands">\newcommand</a>
expressions that properly scale with font size.
For example, the <b>\mapsto</b> symbol is not explicitly provided
in any mimeTeX font, but is instead constructed by the
embedded <a href="#newcommands">\newcommand</a><br>
<nobr> <b>
{ "\\mapsto", NULL, "{\\rule[fs/2]{1}{5+fs}\\hspace{-99}\\to}" },</b>
</nobr><br>
where \rule's [lift]=fs/2 and {height}=5+fs are scaled by
font size to render symbols<br>
<a href="#preview"><img id="eval2" onclick="eqntext('eval2')"
src="../cgi-bin/mimetex.cgi?\small\text\begin{array}{rrl}
\backslash tiny & fs=\tiny\eval{fs} & \tiny\mapsto \\
\backslash small & fs=\small\eval{fs} & \small\mapsto \\
\backslash normalsize & fs=\normal\eval{fs} & \normal\mapsto\\
\backslash large & fs=\large\eval{fs} & \large\mapsto \\
etc. & &
\end{array}" alt="" border=0 align=middle></a><br>
whose rendering automatically varies appropriately with font size.
This kind of <a href="#newcommands">\newcommand</a> construction
is the primary use intended for mimeTeX's expression evaluation feature.
</p>
<p> But mimeTeX also provides the <b>\eval{<i>expression</i>}</b>
command to make the expression evaluation feature render
"visible" results. It's not particularly useful,
but an expression like <b>1+2+3+4+5=\eval{1+2+3+4+5}</b>
renders
<a href="#preview"><img id="eval2" onclick="eqntext('eval2')"
src="../cgi-bin/mimetex.cgi?\small 1+2+3+4+5=\eval{1+2+3+4+5}"
alt="" border=0 align="bottom"></a>. </p>
<p> Finally, one little "gotcha" is mimeTeX's
order of evaluation when interpreting expressions.
Parentheses are respected as you'd expect. But within
<b>(</b>...<b>)</b> parentheses, or in an
unparenthesized expression, mimeTeX finds the first (reading
from the left) operator, then iteratively evaluates the
separate subexpressions to that operator's left and to its right,
and then finally combines those two separate results.
So an expression like <b>2*3+4</b> renders <b>14</b>,
and you need to write <b>(2*3)+4</b> to get <b>10</b>.
</p>
<h3> <a name="magstep"> \magstep{ } and
\magbox{ }{ }<font size=5>...</font></a> </h3>
<p class="continue">
<b>\magstep{<i>magnification</i>}</b>, placed anywhere
within an expression, magnifies the entire expression
by an integer factor <b>1<=<i>magnification</i><=10</b>
in both width and height.
Each single pixel thus becomes a square box, <i>e.g.</i>,
for <b><i>magnification</i>=2</b> each single pixel becomes
a four-pixel square box with dimensions <b>2</b>-by-<b>2</b>.
This compromises mimeTeX's anti-aliasing algorithm,
and the resulting image is both hazy/blurry and jagged/staircased
compared to an unmagnified image of the same expression.
For example, at <b>\LARGE</b> size,<br>
<nobr>  
<b>f(x)=x^2</b>
renders
<a href="#preview"><img id="magbox1" onclick="eqntext('magbox1')"
src="../cgi-bin/mimetex.cgi?\LARGE f(x)=x^2"
alt="" border=0 align="absmiddle"></a> and </nobr><br>
<nobr>  
<b>\magstep{2} f(x)=x^2</b>
renders
<a href="#preview"><img id="magbox2" onclick="eqntext('magbox2')"
src="../cgi-bin/mimetex.cgi?\LARGE\magstep{2} f(x)=x^2"
alt="" border=0 align="absmiddle"></a> , whereas </nobr><br>
at mimeTeX's largest "native" font size, <br>
<nobr>  
<b>\Huge f(x)=x^2</b>
renders
<a href="#preview"><img id="magbox3" onclick="eqntext('magbox3')"
src="../cgi-bin/mimetex.cgi?\HUGE f(x)=x^2"
alt="" border=0 align="absmiddle"></a> . </nobr><br>
Nevertheless, if you still want to render images larger than
mimeTeX's <b>\Huge</b> size, then <b>\magstep{<i>magnification</i>}</b>
may render almost-acceptable results. </p>
<p> To magnify just part of an expression,
you can use <b>\magbox{<i>magnification</i>}{<i>expression</i>}</b>,
which only magnifies each pixel within the enclosed
<b>{<i>expression</i>}</b>, again
by an integer factor <b>1<=<i>magnification</i><=10</b>
in both width and height, and also adjusts the baseline accordingly.
But <b>\magbox</b> is applied directly to mimeTeX's black-and-white
bitmap <u><b><i> before anti-aliasing </i></b></u>.
At the present time, this virtually completely defeats
mimeTeX's anti-aliasing algorithm, and the resulting image
exhibits even more pronounced jagged-line/staircase effects.
For example, <br>
<nobr>  
<b>\LARGE f(x)={\magbox{2}{x}}^2</b>
renders
<a href="#preview"><img id="magbox5" onclick="eqntext('magbox5')"
src="../cgi-bin/mimetex.cgi?\LARGE f(x)={\magbox{2}{x}}^2"
alt="" border=0 align="absmiddle"></a>.</nobr><br>
</p>
<h3> <a name="abbreviations">Abbreviations<font size=5>...</font></a> </h3>
<p class="continue">
<b>\ga</b> displays <b>\gamma</b>, but just <b>\g</b> displays
<b>\gg</b> (<b>>></b>). That is, mimeTeX selects the
shortest symbol or command which begins with whatever you type.
This feature can help shorten an otherwise very long line,
but it may be a bit dangerous. </p>
<p> The mimeTeX <a href="#symbols">preprocessor</a>, briefly mentioned
above, is responsible for recognizing several LaTeX symbols like
<b>\ldots</b> and several commands like <b>\atop</b> .
These symbols and commands cannot be abbreviated. The special
html characters like <b>&nbsp;</b> are also recognized by
the preprocessor and cannot be abbreviated. </p>
<h3> <a name="colors">Colors<font size=5>...</font></a> </h3>
<p> Rudimentary color commands are provided by mimeTeX. You can write
<b>\color{red}</b> or <b>\color{green}</b> or<b>\color{blue}</b>
(which may be abbreviated <b>\red</b> or <b>\green</b> or
<b>\blue</b>) anywhere in an expression to render the entire
expression in the specified color. That is,
<b>abc{\red def}ghi</b> renders the entire expression red,
not just the <b>def</b> part. Also, note that mimeTeX's "green"
is actually color <b>#00FF00</b>, which the html standard more
accurately calls "lime". For example, </p> <center>
<b>\blue e^x=\sum_{n=0}^\infty\frac{x^n}{n!}</b> produces
<a href="#preview"><img id="colors1" onclick="eqntext('colors1')"
src="../cgi-bin/mimetex.cgi?
\Large\color{blue} e^x=\sum_{n=0}^\infty\frac{x^n}{n!}"
alt="" border=0 align=middle></a> </center>
<h3> <a name="smash">"Smash"<font size=5>...</font></a> </h3>
<p> TeX represents characters by boxes, with no idea how ink will be
distributed inside. So an expression like
<b>\frac12\int_{a+b+c}^{d+e+f}g(x)dx</b> is typically rendered as
<a href="#preview"><img id="smash1" onclick="eqntext('smash1')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\nosmash\frac12\int_{a+b+c}^{d+e+f}{g(x)dx}"
alt="" border=0 align=middle></a>.
But mimeTeX knows the character shapes of its fonts, and therefore tries
to remove extra whitespace, rendering the same expression as
<a href="#preview"><img id="smash2" onclick="eqntext('smash2')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\smash\frac12\int_{a+b+c}^{d+e+f}{g(x)}dx"
alt="" border=0 align=middle></a> instead. </p>
<p> Precede any expression with the mimeTeX directive <b>\nosmash</b>
to render it without "smashing". Or compile mimetex.c with the
<b>-DNOSMASH</b> <a href="#options">option</a> if you prefer
the typical TeX behavior as mimeTeX's default. In this case,
precede any expression with <b>\smash</b> to render it "smashed".
And note that explicit space like <b>\hspace{10}</b>
or <b>\;</b> , etc, is never smashed. </p>
<p> The scope of <b>\smash</b> and <b>\nosmash</b> is the
<b>{ }</b>-enclosed subexpression in which the directive occurs.
For example, if you want the <b><i>g(x)</i></b> part of the
preceding example smashed, but not the <b>1/2</b> part,
then the expression
<b>\nosmash\frac12{\smash\int_{a+b+c}^{d+e+f}g(x)dx}</b>
renders as
<a href="#preview"><img id="smash3" onclick="eqntext('smash3')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\nosmash\frac12{\smash\int_{a+b+c}^{d+e+f}{g(x)dx}}"
alt="" border=0 align=middle></a>.
<!-- Moreover, explicit space like
<b>\hspace{10}</b> or <b>\;</b>, etc, is never smashed.
So <b>{\frac12\;\;}\int_{a+b+c}^{d+e+f}g(x)dx</b> renders as
<a href="#preview"><img id="smash4" onclick="eqntext('smash4')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
{\frac12\;\;}\int_{a+b+c}^{d+e+f}{g(x)dx}"
alt="" border=0 align=middle></a>. --> </p>
<p> For finer-grained control, note that <b>\smash</b> is shorthand
for the default <b>\smashmargin{+3}</b> (and <b>\nosmash</b> is
shorthand for <b>\smashmargin{0}</b>). <b>\smashmargin</b>'s value
is the minimum number of pixels between smashed symbols. The leading
<b>+</b> is optional. If present, the font size (\tiny=0,...,\Huge=7)
is added to the specified minimum. Compile mimetex.c with the
<b>-DSMASHMARGIN=<i>n</i></b> <a href="#options">option</a> to change
the default from <b>3</b> to <b><i>n</i></b>. Compare the preceding
example with the over-smashed <b>\smashmargin{1}</b>
<a href="#preview"><img id="smash5" onclick="eqntext('smash5')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\smashmargin1\frac12\int_{a+b+c}^{d+e+f}{g(x)}dx"
alt="" border=0 align=middle></a> instead. </p>
<p> Smashing is in "beta testing" and some expressions still don't look
quite right when smashed, e.g., <b>1^2,2^2,3^2,\ldots</b> renders as
<a href="#preview"><img id="smash6" onclick="eqntext('smash6')"
src="../cgi-bin/mimetex.cgi?\Large1^2,2^2,3^2,\ldots"
alt="" border=0 align=middle></a>. Just compile with <b>-DNOSMASH</b>
if you come across numerous annoying situations. </p>
<h3> <a name="not">\not and \cancel and \sout<font size=5>...</font></a> </h3>
<p> The usual LaTeX <b>\not</b> "slashes" the single symbol
following it, e.g., <b>i\not\partial\equiv i\not\nabla</b>
produces <a href="#preview">
<img id="not1" onclick="eqntext('not1')"
src="../cgi-bin/mimetex.cgi?\normalsize i\not\partial\equiv i\not\nabla"
alt="" border=0 align=middle></a>. </p>
<p> For arbitrary expressions, mimeTeX provides <b>\cancel</b>
which draws a line from the upper-right to lower-left corner of its
argument, e.g., <b>a\cancel{x^2}=bx^{\not3}</b> produces
<a href="#preview"><img id="not2" onclick="eqntext('not2')"
src="../cgi-bin/mimetex.cgi?\large a\cancel{x^2}=bx^{\not3}"
alt="" border=0 align=bottom></a>. </p>
<p> Finally, similar to the <b>ulem.sty</b> package, <b>\sout</b>
draws a horizontal strikeout line through its argument,
e.g., <b>\sout{abcdefg}</b> produces <a href="#preview">
<img id="not3" onclick="eqntext('not3')"
src="../cgi-bin/mimetex.cgi?\normalsize\sout{abcdefg}"
alt="" border=0 align=middle></a>. MimeTeX's <b>\sout</b> also
takes an optional argument that adjusts the vertical position of its
strikeout line by the specified number of pixels, e.g.,
<b>\sout[+2]{abcdefg}</b> produces <a href="#preview">
<img id="not4" onclick="eqntext('not4')"
src="../cgi-bin/mimetex.cgi?\normalsize\sout[+2]{abcdefg}"
alt="" border=0 align=middle></a> and
<b>\sout[-2]{abcdefg}</b> produces
<a href="#preview"><img id="not5" onclick="eqntext('not5')"
src="../cgi-bin/mimetex.cgi?\normalsize\sout[-2]{abcdefg}"
alt="" border=0 align=middle></a>. </p>
<h2> <a name="array"> (IIIe) \begin{array}{lcr}...\end{array} Environment
</a> </h2>
<p> Rendering vectors and matrices, aligning equations, etc, is all done
using the customary LaTeX environment
<b>\begin{array}{lcr} a&b&c\\d&e&f\\etc \end{array}</b>
which you can write in exactly that form. MimeTeX also
recognizes the following array-like environments </p>
<center> <table cellpadding="1" cellspacing="1">
<tr> <td align="left"> <b>\begin{array}{lcr}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{array}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{matrix}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{matrix}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{tabular}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{tabular}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{pmatrix}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{pmatrix}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{bmatrix}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{bmatrix}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{Bmatrix}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{Bmatrix}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{vmatrix}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{vmatrix}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{Vmatrix}</b> </td>
<td align="center"> <b>a&b&c \\ d&e&f \\ etc</b> </td>
<td align="left"> <b>\end{Vmatrix}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{eqnarray}</b> </td>
<td align="center"> <b>a&=&b \\ c&=&d \\ etc</b> </td>
<td align="left"> <b>\end{eqnarray}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{align}</b> </td>
<td align="center"> <b>a&=b \\ c&=d \\ etc</b> </td>
<td align="left"> <b>\end{align}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{cases}</b> </td>
<td align="center"> <b>a&b \\ c&d \\ etc</b> </td>
<td align="left"> <b>\end{cases}</b> </td> </tr>
<tr> <td align="left"> <b>\begin{gather}</b> </td>
<td align="center"> <b>a \\ b \\ etc</b> </td>
<td align="left"> <b>\end{gather}</b> </td> </tr>
</table> </center> <p class="continue">
There's a built-in maximum of 64 columns and 64 rows. Nested
array environments, e.g.,
<b>\begin{pmatrix}a&\begin{matrix}1&2\\3&4\end{matrix}\\c&d\end{pmatrix}</b>,
are permitted. </p>
<p> MimeTeX also provides the abbreviation
<b>\array{lcr$a&b&c\\d&e&f\\etc}</b>
which has exactly the same effect as
<b>\begin{array}{lcr} a&b&c\\d&e&f\\etc \end{array}</b>.
And the <b>lcr$</b> "preamble" in <b>\array{lcr$etc}</b> is optional.
In that case, <b>\array{a&b&c\\d&e&f\\etc}</b>
has exactly the same effect as
<b>\begin{matrix} a&b&c\\d&e&f\\etc \end{matrix}</b>.
You can also write <b>\(\array{etc}\)</b> to "manually abbreviate"
the pmatrix environment, or <b>\array{rcl$etc}</b> to abbreviate
eqnarray, but mimeTeX has no explicit abbreviations for these
other environments. For example, </p> <center>
<b>\begin{matrix}a_1&a_2&a_3\\b_1&b_2&b_3\\c_1&c_2&c_3\end{matrix}</b>
produces
<a href="#preview"><img id="array1" onclick="eqntext('array1')"
src="../cgi-bin/mimetex.cgi?\large\begin{matrix}a_1&a_2&a_3\\
b_1&b_2&b_3\\c_1&c_2&c_3\end{matrix}"
alt="" border=0 align=middle></a> </center>
<p> Solid <b>\hline</b>'s (but not \cline's) and vertical <b>l|c|r</b> bars
are available, as usual. For dashed lines and bars,
<b>\begin{array}</b> provides the additional features <b>\hdash</b>
and <b>l.c.r</b> . <b>\hline</b> and <b>\hdash</b> may not be
abbreviated. For example, </p> <center>
<b>\begin{array}{c.c|c} a_1&a_2&a_3 \\\hdash b_1&b_2&b_3 <br>
\\\hline c_1&c_2&c_3 \end{array}</b> produces <br>
<a href="#preview"> <img id="array22" onclick="eqntext('array22')"
src="../cgi-bin/mimetex.cgi?\large\begin{array}{c.c|c}
a_1&a_2&a_3\\\hdash b_1&b_2&b_3\\\hline c_1&c_2&c_3\end{array}"
alt="" border="0" align="middle"> </a> </center>
<p> The default font size is unchanged by <b>\array{ }</b>, but you
can explicitly control it in the usual way, e.g.,
<b>{\Large\begin{matrix}...\end{matrix}}</b> renders the entire array
in font size 4. In addition, any <b>&...&</b> cell may contain font
size declarations which are always local to that cell,
e.g., <b>&\fs{-1}...&</b> renders that one cell one font size smaller
than current. </p>
<p> The <b>{lcr}</b> in <b>\begin{array}{lcr}</b> sets left,center,right
<i>"horizontal justification"</i> down columns of an array,
as usual. And "vertical justification" across rows defaults
to what we'll call <b><i>baseline</i></b>, i.e., aligned equations,
as in <a href="#example10">Example 10</a> above, display properly.
But the down arrows (for
<a href="#preview"><img id="array3" onclick="eqntext('array3')"
src="../cgi-bin/mimetex.cgi?\small\array{C$\gamma&\Large\downarr}"
alt="" border=0 align=middle></a> and for
<a href="#preview"><img id="array4" onclick="eqntext('array4')"
src="../cgi-bin/mimetex.cgi?\small\array{C$\Large\downarr&\beta}"
alt="" border=0 align=middle></a>)
in <a href="#example11">Example 11</a> require
<i>"vertical centering"</i> across the middle row of that
array. So, in addition to lowercase <b>lcr</b>, mimeTeX's <b>{lcr}</b>
in <b>\begin{array}{lcr}</b> may also contain uppercase <b>BC</b> to
set "<b>B</b>"aseline or "<b>C</b>"enter vertical justification across
the corresponding rows. For example, <b>\begin{array}{rccclBCB}</b>
sets baseline justification for the first and third rows, and center
justification for the second row. Without any <b>BC</b>'s,
all rows default to the usual <b>B</b> baseline justification. </p>
<p> MimeTeX has no <b>\arraycolsep</b> or <b>\arraystretch</b> parameters.
Instead, <b>\begin{array}{lc25rB35C}</b> sets the absolute width
of the second column to 25 pixels, and the absolute height of the
first row to 35 pixels, as illustrated by
<a href="#example9">Example 9</a>. Any number following
an <b>lcrBC</b> specification sets the width of that one column
(for <b>lcr</b>), or the height of that one row (for <b>BC</b>). <br>
<img src="../cgi-bin/mimetex.cgi?\hspace{35}" alt="" border=0>
You can optionally precede the number with a <b>+</b> sign,
which "propagates" that value forward to all subsequent columns for
<b>lcr</b>, or all subsequent rows for <b>BC</b>. For example,
<b>\begin{array}{lc+25rB+35C}</b> sets the absolute width of
column 2 and all subsequent columns to 25 pixels,
and the absolute height of row 1 and all subsequent rows
to 35 pixels. After absolute sizing has been set, the special
value <b>0</b> reverts to automatic sizing for that one row or
column, and <b>+0</b> reverts to automatic sizing for all subsequent
rows or columns. For example, <b>\begin{array}{c+25ccc+35ccc+0}</b>
sets the absolute widths of columns 1-3 to 25 pixels,
columns 4-6 to 35 pixels, and then reverts to automatic
sizing for columns 7 and all subsequent columns. <br>
<img src="../cgi-bin/mimetex.cgi?\hspace{35}" alt="" border=0>
The "propagation" introduced by <b>+</b> is local to the
<b>\begin{array}</b> in which it occurs. So you have to repeat
the same specifications if you want rows aligned across several
arrays on the same line (or columns aligned on several lines
separated by <b>\\</b>). Instead, a lowercase <b>g</b> globally
copies your column specifications to all subsequent arrays,
and an uppercase <b>G</b> globally copies your row specifications.
And <b>gG</b> copies both column and row specifications. For example,
<b>\begin{array}{GC+25}</b> sets the height of all rows in this
array to 25 pixels, and ditto for all subsequent arrays to its right.
Explicit specifications in subsequent arrays override previous global
values. <br>
<img src="../cgi-bin/mimetex.cgi?\hspace{35}" alt="" border=0>
Click one of the following examples to see illustrations
of the above discussion: </p> <center>
<a href="#preview"> <img id="array31" onclick="eqntext('array31')"
src="../cgi-bin/mimetex.cgi?\large
\left( \begin{array}{GC+30}
\cos\frac\theta2 & i\,\sin\frac\theta2\\
i\,\sin\frac\theta2 & \cos\frac\theta2 \end{array} \right)
\left( \begin{array}
z & x_{\tiny-} \\ x_{\tiny+} & -z \end{array} \right)
\hfill{300}\text{\normalsize Example 1}"
alt="" border="0" align="middle"> </a> <br>
<a href="#preview"> <img id="array32" onclick="eqntext('array32')"
src="../cgi-bin/mimetex.cgi?\large
\left( \begin{array}{GC+30gc+40}
\cos\frac\theta2 & i\,\sin\frac\theta2 \\
i\,\sin\frac\theta2 & \cos\frac\theta2 \end{array} \right)
\left( \begin{array}
z & x_{\tiny-} \\ x_{\tiny+} & -z \end{array} \right)
\hfill{300}\text{\normalsize Example 2}"
alt="" border="0" align="middle"> </a> </center>
<p> See <a href="#example8">Examples 8-11</a> above for several
additional <b>\begin{array}{lcr}</b> applications. </p>
<h2> <a name="picture"> (IIIf) \picture( ){ } "Environment",
including \line( ){ } and \circle( ) </a> </h2>
<p> Besides <b>\begin{array}{lcr}</b>, mimeTeX also tries to emulate the
familiar LaTeX picture environment with the somewhat similar<br>
<b> \picture(width[,height])
{ (loc1){pic_elem1} (loc2){pic_elem2} ... }</b><br>
as illustrated by <a href="#example12">Examples 12-13</a> above.
Arguments surrounded by <b>[ ]</b>'s are optional.
If the optional <b>[,height]</b> is omitted, then <b>height=width</b>
is assumed. Locations <b>(loc1)</b> and <b>(loc2) ...</b> each
denote either a <b>\put(loc)</b> or a <b>\multiput(loc)</b>,
and each location is of the form <b>([c]x,y[;xinc,yinc[;num]])</b>. </p>
<p> A <b>\put(loc)</b> is denoted by a location of the form <b>([c]x,y)</b>
where <b>x,y</b> denotes the coordinate where the lower-left corner
of the subsequent picture_element will be placed, unless the letter
<b>c</b> precedes the <b>x</b>-number, in which case <b>cx,y</b>
denotes the center point instead. The very lower-left corner of the
entire picture is always <b>0,0</b>, and the upper-right corner is
<b>width-1,height-1</b>. Note, for example, that you'd never want
to specify location <b>c0,0</b> since the picture_element would be
mostly out-of-bounds (only its upper-right quadrant would be
in-bounds). </p>
<p> A <b>\multiput(loc)</b> starts like a <b>\put(loc)</b>, but location
<b>[c]x,y</b> is followed by <b>;xinc,yinc[;num]</b> indicating the
<b>x,y-inc</b>rements applied to each of <b>num</b> repetitions
of picture_element. If <b>;num</b> is omitted, repetitions continue
until the picture_element goes out-of-bounds of the specified
<b>width[,height]</b>. Note that <b>x,y</b> are always positive or
zero, but <b>xinc,yinc</b> may be postive, zero or negative. </p>
<p> The <b>\picture(,){...}</b> parameters <b>width, height, x, y, xinc,
yinc</b> may be either integer or may contain a decimal point,
and they're all scaled by <a href="#unitlength">\unitlength</a>.
The <b>num</b> parameter must be integer. </p>
<p> Picture_element's <b>{pic_elem1}</b> and <b>{pic_elem2} ...</b>
may be any expressions recognized by mimeTeX, even including other
<b>\picture</b>'s nested to any level. </p>
<h3> <a name="circleline">\line( ){ } and
\circle( )<font size=5>...</font></a> </h3>
<p> To help draw useful picture_element's, mimeTeX provides several
drawing commands, <b>\line(xinc,yinc)[{xlen}]</b> and
<b>\circle(xdiam[,ydiam][;arc])</b>. Although primarily intended
for use in <b>\picture</b>'s, you can use them in any mimeTeX
expression, e.g., <b>abc\circle(20)def</b> produces
<a href="#preview"><img id="circleline1" onclick="eqntext('circleline1')"
src="../cgi-bin/mimetex.cgi?\large abc\circle(20)def"
alt="" border="0" align="middle"></a>. </p>
<p> Without its optional <b>{xlen}</b> parameter, the expression
<b>(x,y){\line(xinc,yinc)}</b> draws a straight line from point
<b>x,y</b> to point <b>x+xinc,y+yinc</b>. The <b>inc</b>'s
can be positive, zero or negative. Don't prefix location <b>x,y</b>
with a leading <b>c</b> for <b>\line</b>'s; the intended "corner"
is determined by the signs of <b>xinc</b> and <b>yinc</b>.
If given, the optional <b>{xlen}</b> parameter rescales the length
of the line so its x-projection is <b>xlen</b> and its slope is
unchanged. </p>
<p> Without optional <b>,ydiam</b> and <b>;arc</b>, the expression
<b>(x,y){\circle(xdiam)}</b> draws a circle of diameter <b>xdiam</b>
centered at <b>x,y</b>. Don't prefix location <b>x,y</b> with a
leading <b>c</b> for <b>\circle</b>'s; centering is assumed.
If <b>,ydiam</b> is also given, then <b>(x,y){\circle(xdiam,ydiam)}</b>
draws the ellipse inscribed in a rectangle of width <b>xdiam</b>
and height <b>ydiam</b> centered at <b>x,y</b>. <br>
Finally, <b>;arc</b> specifies the arc to be
drawn, in one of two ways. An <b>;arc</b> argument given in the
form <b>;1234</b> interprets each digit as a quadrant to be drawn,
with <b>1</b> the upper-right quadrant and then proceeding
counterclockwise, e.g., <b>\circle(12;34)</b> specifies the
lower half of a circle whose diameter is twelve. <br>
Alternatively, an <b>;arc</b> argument given in
the form <b>45,180</b> or <b>-60,120</b> specifies the endpoints of
the desired arc in degrees, with <b>0</b> the positive x-axis and
then proceeding counterclockwise. The first number must always
be smaller than the second (negative numbers are allowed), and the
arc is drawn counterclockwise starting from the smaller number. </p>
<p> Besides <a href="#example12">Examples 12-13</a> above,
it's hard to resist illustrating<br>
<font size=4><b>
\unitlength{.6} \picture(100) {<br>
(50,50){\circle(99)} %%head%%<br>
(20,55;50,0;2){\fs{+1}\hat\bullet} %%eyes%%<br>
(50,40){\bullet} %%nose%%<br>
(50,35){\circle(50,25;34)} %%upper lip%%<br>
(50,35){\circle(50,45;34)} %%lower lip%% }</b></font></p>
<center>
<a href="#preview"><img id="circleline2" onclick="eqntext('circleline2')"
src="../cgi-bin/mimetex.cgi?\normalsize\unitlength{.6}\picture(100){
(50,50){\circle(99)} (20,55;50,0;2){\fs{+1}\hat\bullet} (50,40){\bullet}
(50,35){\circle(50,25;34)} (50,35){\circle(50,45;34)}}"
alt="" border=0 align=middle></a><br>Have a nice day!</center>
<h2> <a name="commands"> (IIIg) Other mimeTeX Commands </a> </h2>
<p> Various and sundry other LaTeX-like commands are also provided
by mimeTeX. In addition to features explicitly discussed below,
mimeTeX supports the usual sub<b>_</b>scripts and super<b>^</b>scripts,
and most of the typical LaTeX commands, many already discussed
above, including </p>
<ul>
<li> <b>\frac{ }{ }</b> and <b>{ \over }</b> </li>
<li> <b>{ \atop }</b> and <b>{ \choose }</b> </li>
<li> <b>\sqrt{ }</b> </li>
<li> <b>\lim_{ }</b> and all the usual LaTeX function names </li>
<li> <b>\hat{ }</b> and <b>\widehat{ }</b>
and many of the usual LaTeX accents </li>
<li> <b>\overbrace{ }^{ }</b> and
<b>\underbrace{ }_{ }</b> </li>
<li> <b>\overline{ }</b> and <b>\underline{ }</b> </li>
</ul> <p class="continue">
All these typical commands should behave as they usually do
in LaTeX, and won't be discussed further. Short discussions
of some other commands follow. </p>
<h3> <a name="stackrel">\overset{ }{ } or
\stackrel{ }{ } and
\underset{ }{ } or \relstack{ }{ }
<font size=5>...</font></a> </h3>
<p class="continue">
<b>\stackrel{ }{ }</b> behaves as usual in LaTeX,
rendering its first argument one font size smaller and centered above
its second. And the amsmath-style <b>\overset{ }{ }</b> is
identical. For example, </p> <center>
<b>"\vec x\overset{\rm def}=(x_1\ldots x_n)"</b>
produces
<a href="#preview"><img id="stackrel1" onclick="eqntext('stackrel1')"
src="../cgi-bin/mimetex.cgi?
\Large\vec x\,\overset{\small\rm def}=
\,(x_1\ldots x_n)" alt="" border=0 align=middle></a> </center>
<p> "Conversely" to <b>\stackrel{ }{ }</b>, mimeTeX provides
<b>\relstack{ }{ }</b>, which renders its second argument
one font size smaller and centered below its first.
And the amsmath-style <b>\underset{ }{ }</b> renders its
first argument one font size smaller and centered below its second.
For example, the <b>\log</b> function name doesn't treat
limits like <b>\lim_</b>, but you can write, for example, </p> <center>
<b>"\underset{\rm base 2}\log32=5"</b> to render
<a href="#preview"><img id="stackrel2" onclick="eqntext('stackrel2')"
src="../cgi-bin/mimetex.cgi?
\Large\underset{\small\rm base 2}\log32\,=\,5"
alt="" border=0 align=middle></a> </center>
<p> MimeTeX's <b>\limits</b> provides an easier but non-standard
alternative to achieve the same effect. For example, </p> <center>
<b>"\vec x =\limits^{\rm def} (x_1\ldots x_n)"</b>
produces
<a href="#preview"><img id="stackrel3" onclick="eqntext('stackrel3')"
src="../cgi-bin/mimetex.cgi?\Large\vec x\,=\limits^{\small\rm def}
\,(x_1\ldots x_n)" alt="" border=0 align=middle></a> <br><br>
and <b>"\log\limits_{\rm base 2}32=5"</b>
produces
<a href="#preview"><img id="stackrel4" onclick="eqntext('stackrel4')"
src="../cgi-bin/mimetex.cgi?
\Large\log\limits_{\small\rm base 2}32\,=\,5"
alt="" border=0 align=middle></a> </center>
<h3> <a name="fbox">\fbox{ }<font size=5>...</font></a> </h3>
<p> In case html border attributes aren't suitable, mimeTeX provides
the usual <b>\fbox{<i>expression</i>}</b> command, e.g., </p> <center>
<b>"\fbox{x=\frac12}"</b> produces
<a href="#preview"><img id="fbox1" onclick="eqntext('fbox1')"
src="../cgi-bin/mimetex.cgi?\Large\fbox{x=\frac12}"
alt="" border=0 align=middle></a> </center>
<p> You can also write <b>\fbox[<i>width</i>]{<i>expression</i>}</b>
to explicitly set the box's width, or you can write
<b>\fbox[<i>width</i>][<i>height</i>]{<i>expression</i>}</b>
to explicitly set both width and height. </p>
<h3> <a name="today">\today and \calendar<font size=5>...</font></a> </h3>
<p class="continue"> <b>\today</b> renders
<a href="#preview"><img id="today1" onclick="eqntext('today1')"
src="../cgi-bin/mimetex.cgi?\normalsize\today"
border=0 align=middle></a>
in the usual LaTeX text mode way.
That's <b>\today</b>'s default format#1. MimeTeX has
an optional format argument so that, for example,
<b>\blue\today[2]</b> renders
<a href="#preview"><img id="today2" onclick="eqntext('today2')"
src="../cgi-bin/mimetex.cgi?\normalsize\blue\today[2]"
border=0 align=middle></a>,
showing both date and time. And
<b>\red\today[3]</b> renders
<a href="#preview"><img id="today3" onclick="eqntext('today3')"
src="../cgi-bin/mimetex.cgi?\normalsize\red\today[3]"
border=0 align=bottom></a>,
showing time only. </p>
<p> To accommodate time zones, you may also write, for example,
<b>\small\blue\today[2,+3]</b>, which renders
<a href="#preview"><img id="today4" onclick="eqntext('today4')"
src="../cgi-bin/mimetex.cgi?\small\blue\today[2,+3]"
border=0 align=middle></a>,
adding three hours to format#2.
The arguments may be in either order. The time zone increment
must always be preceded by either <b>+</b> or <b>-</b>,
and must be in the range <b>-</b>23 to <b>+</b>23. </p>
<p class="continue"> <b>\calendar</b> renders a calendar for
the current month, as illustrated by the left-hand image below.
For a different month, the optional argument  
<b>\small\blue\calendar[2001,9]</b> renders the right-hand
image, for the requested year and month. Years must be
1973<b>...</b>2099 and months must be 1<b>...</b>12. </p>
<center>
<a href="#preview"><img id="today5" onclick="eqntext('today5')"
src="../cgi-bin/mimetex.cgi?\normalsize\calendar"
border=0 align=middle> </a>
<a href="#preview"><img id="today6" onclick="eqntext('today6')"
src="../cgi-bin/mimetex.cgi?\small\blue\calendar[2001,9]"
border=0 align=middle> </a> </center>
<p> The default calendar emphasizes the current day of the current month,
while any other month emphasizes no day. Day emphasis is controlled
by an optional third argument. <b>\calendar[0,0,1]</b>
emphasizes the first day of the current month, and
<b>\calendar[2001,9,11]</b> emphasizes the eleventh
day of that month. <b>\calendar[0,0,99]</b>
renders the current month with no day emphasized. </p>
<h3> <a name="input">\input{ }<font size=5>...</font></a> </h3>
<p class="continue">
<b>\input{<i>filename</i>}</b> behaves just like the corresponding
LaTeX command, reading the entire contents of <b><i>filename</i></b>
into your expression at the point where the <b>\input</b> command
occurs. By default, <b><i>filename</i></b> resides in the same
directory as mimetex.cgi. Moreover, for security, absolute paths
with leading <b>/</b>'s or <b>\</b>'s, and paths with <b>../</b>'s
or <b>..\</b>'s, are not permitted. See the <b>-DPATHPREFIX</b>
<a href="#options">compile option</a>, discussed above,
if you want <b>\input</b> files in some other directory.
In any case, if <b><i>filename</i></b> isn't found, then
<b>\input</b> tries to read <b><i>filename</i>.tex</b> instead.</p>
<p> And for further security, <b>\input{ }</b> is disabled by default
unless mimeTeX is compiled with either the <b>-DINPUTOK</b> or
<b>-DINPUTPATH</b> or <b>-DINPUTREFERER</b>
<a href="#options">compile option</a> discussed above.
When it's disabled, the command <b>\input{<i>filename</i>}</b>
renders the error message
<b>[\input{<i>filename</i>} not permitted]</b> . </p>
<p> MimeTeX also supports the optional form
<b>\input{<i>filename:tag</i>}</b>. In this case,
<b><i>filename</i></b> is read as before, but only those characters
between <b><<i>tag</i>>...</<i>tag</i>></b> are placed
into your expression. This permits you to have one file containing
many different <b><<i>tag</i>></b>'s, e.g., one file containing
all the questions and/or answers to a homework assignment or a quiz,
etc. </p>
<h3> <a name="counter">\counter[ ]{ }
<font size=5>...</font></a> </h3>
<p> The bottom-right corner of this page contains a page hit counter
that's maintained using mimeTeX's
<b>\counter[<i>logfile</i>]{<i>counterfile</i>:<i>tag</i>}</b>
command. As with <b>\input</b>, described immediately above,
both the required <b><i>counterfile</i></b> and the optional
<b><i>logfile</i></b> are the names of files that reside in the
same directory as your mimetex.cgi executable, unless you compiled
mimetex with the <b>-DPATHPREFIX</b>
<a href="#options">compile option</a>. Before using
the <b>\counter</b> command, Unix "touch" and "chmod" those files
so they're mimeTeX readable and writable. </p>
<p> Also as with <b>\input</b>, for security <b>\counter</b> is
disabled by default unless mimeTeX is compiled with either
the <b>-DINPUTOK</b> or the <b>-DCOUNTEROK</b>
<a href="#options">compile option</a>
(notice that <b>-DINPUTOK</b> also enables <b>\counter</b>).
If you've compiled mimeTeX with <b>\counter</b> enabled,
then it behaves as <nobr>follows...</nobr> </p>
<p> If <b><i>counterfile</i></b> isn't readable and writable,
then the <b>\counter</b> command always displays
<b>1<sup><u>st</u></sup></b>. Otherwise, it maintains a
line in <b><i>counterfile</i></b> of the form
<b><<i>tag</i>> <i>value</i> </<i>tag</i>></b>
where <b><i>value</i></b> is initialized as <b>1_</b> if the
specified <b><<i>tag</i>></b> line doesn't already exist,
and then incremented on each subsequent call. That trailing
underscore on the value in the file, e.g., <b>99_</b>, tells
mimeTeX to display <b>99<sup><u>th</u></sup></b> with an
ordinal suffix. Edit the value in the file and remove the
underscore if you don't want the ordinal suffix displayed.
Finally, mimeTeX makes no effort to lock files or
records (tags), so be careful using <b>\counter</b>
if your hit rates are high enough so that frequent collisions
are likely. </p>
<p> The same <b><i>counterfile</i></b> can contain as many different
<b><<i>tag</i>></b> lines as you like, so counters for
all the pages on your site can be maintained in one file.
MimeTeX also maintains a special <b><timestamp></b> tag
in <b><i>counterfile</i></b> that logs the the date/time and
name of the most recently updated tag. </p>
<p> Somewhat more detailed log information can be accumulated in
the optional <b><i>logfile</i></b>. If you provide that
filename, mimeTeX writes a line to it of the form
<b>2008-09-07:12:59:33pm <<i>tag</i>>=99 192.168.1.1 <i>http_referer</i></b>
containing a timestamp, the counter tag and its current value,
and the user's IP address and http_referer page if they're
available. </p>
<p> The page hit counter displayed at the bottom-right corner
of this page is maintained by the command
<b>\counter[counters.log]{counters.txt:mimetex.html}</b>.
After compiling and installing your
own mimetex.cgi and your own copy of this page, that counter will
continually show <b>1<sup><u>st</u></sup></b>'s
unless/until you "touch" and "chmod" counters.txt (and, optionally,
counters.log) in your mimetex.cgi directory. </p>
<h3> <a name="environment">\environment
<font size=5>...</font></a> </h3>
<p> Submitting the expression <b>\environment</b>
to mimeTeX renders </p> <center>
<img id="environ1"
src="../cgi-bin/mimetex.cgi?\nocaching\environment"
align="middle" border=0> </center>
<p class="continue"> displaying the http environment variables
known to mimeTeX. This is primarily a programming aid,
showing information available to mimeTeX that might facilitate
future enhancements. </p>
<p> As with <b>\input</b> and <b>\counter</b> above,
for security <b>\environment</b> is
disabled by default unless mimeTeX is compiled with either
the <b>-DINPUTOK</b> or the <b>-DENVIRONOK</b>
<a href="#options">compile option</a>
(notice that <b>-DINPUTOK</b> also enables <b>\environment</b>). </p>
<h2> <a name="exceptions"> (IIIh) Other Exceptions
to LaTeX Syntax </a> </h2>
<h3> Binding Exceptions<font size=5>...</font> </h3>
<p> MimeTeX's bindings are pretty much left-to-right. For example,
although mimeTeX correctly interprets <b>\frac12</b> as well as
<b>\frac{1}{2}</b>, etc, the legal LaTeX expression <b>x^\frac12</b>
must be written <b>x^{\frac12}</b>. Otherwise, mimeTeX interprets
it as <b>{x^\frac}12</b>, i.e., the same way <b>x^\alpha12</b>
would be interpreted, which is entirely wrong for <b>\frac</b>.
The same requirement also applies to other combinations of commands,
e.g., you must write <b>\sqrt{\frac\alpha\beta}</b>, etc. </p>
<h2> <a name="messages"> (IIIi) mimeTeX Errors
and Messages </a> </h2>
<h3> mimeTeX Errors<font size=5>...</font> </h3>
<p> Any (La)TeX error is typically also a mimeTeX error.
However, mimeTeX has no command line interface or
<b>.</b>log file for reporting errors. Its only
communication with you is through the mimeTeX image
rendered by your browser. So error messages are embedded
in that image whenever feasible. For example,
suppose you want to see
<a href="#preview"><img id="messages1" onclick="eqntext('messages1')"
src="../cgi-bin/mimetex.cgi?\normalsize\alpha\beta\gamma\delta"
border=0 align=bottom></a>, but you mistakenly type
<b>\alpha\bethe\gamma\delta</b> instead.
Then the image rendered is
<a href="#preview"><img id="messages2" onclick="eqntext('messages2')"
src="../cgi-bin/mimetex.cgi?\normalsize\alpha\bethe\gamma\delta"
border=0 align=bottom></a>, indicating the unrecognized
<b>[\bethe?]</b> where you wanted to type <b>\beta</b>
and hoped to see
<a href="#preview"><img id="messages3" onclick="eqntext('messages3')"
src="../cgi-bin/mimetex.cgi?\normalsize\bf\beta"
border=0 align=bottom></a>.
If your expression contains some unprintable character
(meaning any character mimeTeX has no bitmap for),
then just
<a href="#preview"><img id="messages4" onclick="eqntext('messages4')"
src="../cgi-bin/mimetex.cgi?\small\bf[?]"
border=0 align=bottom></a> is displayed in the
corresponding position. </p>
<p> The preceding example illustrates a pretty trivial error.
Any non-trivial errors in your expression are likely to
go unrecognized and unreported by mimeTeX, and to render
unexpected images. While checking your input expression
for syntax errors, keep in mind the following points
about mimeTeX's behavior: </p>
<ul>
<li> An unmatched left brace <b>{</b> is matched
by mimeTeX with a "phantom" right brace <b>}</b>
that's imagined to be at the end of your expression. </li>
<li> Likewise, an unmatched <b>\left(</b>,
or <b>\left\{</b> or <b>\left\</b><i>anything</i>,
is matched by mimeTeX with a "phantom" <b>\right.</b>
at the end of your expression. </li>
<li> On the other hand, an unmatched right brace <b>}</b>
is displayed in place, as if you had typed \rbrace. </li>
<li> But an unmatched <b>\right\</b><i>anything</i>
is interpreted as an abbreviation for <b>\</b>rightarrow
followed by <b>\</b><i>anything</i>. For example,
<b>\leff( abc \right) def</b> renders
<a href="#preview"><img id="messages5"
onclick="eqntext('messages5')"
src="../cgi-bin/mimetex.cgi?\small\leff(abc\right)def"
border=0 align=bottom></a>. </li>
</ul> <!-- p class="continue">
</p -->
<h3> mimeTeX Messages<font size=5>...</font> </h3>
<!--
<p> The special mimeTeX directive <b>\version</b>
displays the following information </p>
<center>
<a href="#preview"><img id="messages6" onclick="eqntext('messages6')"
src="../cgi-bin/mimetex.cgi?\version"
border=0 align=middle> </a> </center>
-->
<p> The latest release of mimeTeX is version
<a href="#preview"><img id="messages11" onclick="eqntext('messages11')"
src="../cgi-bin/mimetex.cgi?\small\versionnumber"
alt="" border=0 align="bottom"></a>
which was last revised
<a href="#preview"><img id="messages12" onclick="eqntext('messages12')"
src="../cgi-bin/mimetex.cgi?\small\revisiondate"
alt="" border=0 align="bottom"></a>.
The special mimeTeX directive <b>\version</b>
displays that same information, </p>
<center>
<a href="#preview"><img id="messages13" onclick="eqntext('messages13')"
src="../cgi-bin/mimetex.cgi?\version"
alt="" border=0 align=middle></a> </center>
<p> To check that your own release of mimeTeX is current,
type a url into your browser's locator window something like <br>
<b>http://www.<i>yourdomain</i>.com/cgi-bin/mimetex.cgi?\version</b> <br>
which will display the version and revision date of
mimeTeX installed on your server. </p>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SECTION IV. APPENDICES
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h1> <a name="appendices"> (IV) Appendices </a> </h1>
<p> Programming information to help you modify mimeTeX's behavior,
and to use its functionality in your own programs, is provided
by these appendices. The currently available appendices discuss
(a)how to modify or extend mimeTeX's fonts, (b)how to use
mimeTeX's principal function, make_raster(), and (c)how to use
<a href="http://shh.thathost.com" target="_top">Sverre Huseby's</a>
gifsave.c library. </p>
<h2> <a name="fonts"> (IVa) mimeTeX Fonts </a> </h2>
<p> The font information mimeTeX uses to render characters is
derived from .gf font files (usually generated by <b>metafont</b>
running against .mf files), which are then run through
<b>gftype -i</b> and finally through my <b>gfuntype</b> program
(supplied with your mimeTeX distribution). </p>
<p> The final output from each such sequence of three runs
(metafont > gftype -i > gfuntype) gives mimeTeX the
bitmap information it needs to render one particular font
family at one particular size. The file <b>texfonts.h</b>
supplied with your mimeTeX distribution collects the output
from 72 such (sequences of) runs, representing nine font
families at eight sizes each. </p>
<p> This collection of information in texfonts.h is
"wired" into mimeTeX through tables maintained in <b>mimetex.h</b>.
To change mimeTeX's fonts, you'll have to first modify (or totally
replace) texfonts.h using your own gfuntype output, and then
change mimetex.h to reflect your texfonts.h modifications. </p>
<p> This appendix provides a brief description of the above
process, though you'll probably need at least some previous
C programming experience to confidently accomplish it.
Your motivation might be to add more fonts to mimeTeX,
to change the font sizes I chose, or to add more
font sizes, etc. MimeTeX's design permits all this to be
easily done once you understand the process. </p>
<p> Running <b>metafont</b> to generate a <b>.gf</b> file from <b>.mf</b>
source will usually be your very first step. A typical such run
might be </p>
<!-- <b>mf '\mode=onetz; mag=magstep(.5); input cmmi10'</b> --> <center>
<b>mf '\mode=preview; mag=magstep(-16.393225); input cmmi10'</b></center>
<p class="continue"> which in this case generates output file
<b>cmmi10.131gf</b> (which is mimeTeX's font size 3 for the
cmmi family). </p>
<p> Given the cmmi10.131gf file from this metafont run
(or substitute any other .gf file you like), next run </p>
<center><b>gftype -i cmmi10.131gf > typeout</b></center>
<p class="continue"> where <b>typeout</b> can be any temporary
filename you like. </p>
<p> Finally, run <b>gfuntype</b> against the typeout file
you just generated with the command </p>
<center><b>gfuntype -n cmmi131 typeout cmmi131.h</b></center>
<p class="continue"> to generate the final output file <b>cmmi131.h</b>
(or any filename you supply as the last arg). This
contains the cmmi data in an array whose name is taken
from the <b>-n</b> arg you supplied to gfuntype. </p>
<p> The above sequence of three runs resulted in output file
<b>cmmi131.h</b>, containing the font information mimeTeX needs
for one font family (cmmi) at one font size (3). Repeat this
sequence of three runs for each font size and each font family.
Then pull all the output files into one big <b>texfonts.h</b> file
(or write a small texfonts.h which just #include's them all). </p>
<p> For your information, the 72 sequences of runs represented
in the texfonts.h file supplied with your mimeTeX distribution
correspond to the following eight inital metafont runs for cmr10 </p>
<!--
1 (.100gf) mf '\mode=nextscrn; input cmr10'
2 (.118gf) mf '\mode=lview; input cmr10'
3 (.131gf) mf '\mode=onetz; mag=magstep(.5); input cmr10'
4 (.160gf) mf '\mode=itoh; input cmr10'
5 (.180gf) mf '\mode=lqlores; input cmr10'
-->
<pre> size=0 (.83gf) mf '\mode=eighthre; input cmr10'
1 (.100gf) mf '\mode=preview; mag=magstep(-17.874274); input cmr10'
2 (.118gf) mf '\mode=preview; mag=magstep(-16.966458); input cmr10'
3 (.131gf) mf '\mode=preview; mag=magstep(-16.393225); input cmr10'
4 (.160gf) mf '\mode=preview; mag=magstep(-15.296391); input cmr10'
5 (.180gf) mf '\mode=preview; mag=magstep(-14.650373); input cmr10'
6 (.210gf) mf '\mode=preview; mag=magstep(-13.804885); input cmr10'
7 (.250gf) mf '\mode=preview; mag=magstep(-12.848589); input cmr10'</pre>
<p class="continue">
Then ditto for the eight other font families cmmi10, cmmib10, cmsy10,
cmex10, bbold10, rsfs10, stmary10 and wncyr10. And to generate other
<b>.</b><i>dpi</i><b>gf</b> font sizes, calculate magsteps
<img src="../cgi-bin/mimetex.cgi?\normalsize\frac{\log(dpi/2602)}{\log1.2}"
alt="" align=middle border=0>. All the subsequent gftype and
gfuntype runs just follow the standard format described above. </p>
<p> To incorporate all this font information you just generated into
mimeTeX, edit your <b>mimetex.h</b> file and find the table that looks
something like </p><pre>static fontfamily aafonttable[] = {
/* ----------------------------------------------------------------------------------------
family size=0, 1, 2, 3, 4, 5, 6, 7
----------------------------------------------------------------------------------------- */
{ CMR10,{ cmr83, cmr100, cmr118, cmr131, cmr160, cmr180, cmr210, cmr250}},
{ CMMI10,{ cmmi83, cmmi100, cmmi118, cmmi131, cmmi160, cmmi180, cmmi210, cmmi250}},
{ CMMIB10,{ cmmib83, cmmib100, cmmib118, cmmib131, cmmib160, cmmib180, cmmib210, cmmib250}},
{ CMSY10,{ cmsy83, cmsy100, cmsy118, cmsy131, cmsy160, cmsy180, cmsy210, cmsy250}},
{ CMEX10,{ cmex83, cmex100, cmex118, cmex131, cmex160, cmex180, cmex210, cmex250}},
{ RSFS10,{ rsfs83, rsfs100, rsfs118, rsfs131, rsfs160, rsfs180, rsfs210, rsfs250}},
{ BBOLD10,{ bbold83, bbold100, bbold118, bbold131, bbold160, bbold180, bbold210, bbold250}},
{STMARY10,{stmary83,stmary100,stmary118,stmary131,stmary160,stmary180,stmary210,stmary250}},
{ CYR10,{ wncyr83, wncyr100, wncyr118, wncyr131, wncyr160, wncyr180, wncyr210, wncyr250}},
{ -999,{ NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL}}
} ; /* --- end-of-fonttable[] --- */</pre><p class="continue">
Note the 72 names <b>cmr83...wncyr250</b> in the table. These must
correspond to (or must be changed to) the names following the <b>-n</b>
switch you specified for your gfuntype runs. </p>
<p> If you want more than eight font sizes, first build up texfonts.h
with all the necessary information. Then change LARGESTSIZE (and
probably NORMALSIZE) in mimetex.h, and finally edit the above aafonttable[]
by extending the columns in each row up to your largest size. </p>
<p> You can also add new rows by #define'ing a new family,
and then adding a whole lot of character definitions at the bottom
of mimetex.h, all in the obvious way (i.e., it should become obvious
after reviewing mimetex.h). A new row would be required,
for example, to make another font available in mimeTeX. </p>
<p> One small problem with the above procedure is that the default
gftype program supplied with most TeX distributions
can't emit the long lines needed to display mimeTeX's larger font sizes.
<a href="http://www.forkosh.com/gftype.zip"
target="_top">gftype.zip</a> contains a statically linked linux
executable modified to emit the necessary long lines.
It may or may not run on your intel linux machine.
If not, you'll need to compile your own version from source.
The following instructions are for Unix/Linux: <br>
First, download both
<!-- http://www.ctan.org/tex-archive/systems/web2c/web-7.5.3.tar.gz -->
<a href="http://www.forkosh.com/web-7.5.3.tar.gz"
target="_top">web-7.5.3.tar.gz</a> and
<!-- http://www.ctan.org/tex-archive/systems/web2c/web2c-7.5.3.tar.gz -->
<a href="http://www.forkosh.com/web2c-7.5.3.tar.gz"
target="_top">web2c-7.5.3.tar.gz</a>
<!-- or more recent versions. --> (note: these files are no longer
explicitly archived by <a href="http://www.ctan.org/"
target="_top">ctan</a>, having been superceded
by <a href="http://www.ctan.org/tex-archive/systems/texlive"
target="_top">texlive</a> sources, so the preceding two links
point to copies kept on my site, www.forkosh.com).
Then untar both gzipped tar files,
cd web2c-7.5.3/ and run ./configure
and make in the usual way (make may fail before
completion if you don't have all needed fonts installed,
but it will create and compile gftype.c before failing). Now edit
texk/web2c/gftype.c and notice three lines very near the top
that #define maxrow (79)   and similarly for
maxcol and linelength. Change all three 79's to 1024, and
then re-run make. The new texk/web2c/gftype executable
image can emit the long lines needed for mimeTeX's larger font sizes. </p>
<p> Finally, the Unix/Linux bash shell script
<a href="http://www.forkosh.com/texfonts.sh"
target="_top">texfonts.sh</a> generates file texfonts.h
containing the information for all 72 mimeTeX fonts discussed above
(and, optionally, an extra 1200dpi cmr font used to test mimeTeX's
supersampling algorithm). You'll need to understand and edit this
script to use it meaningfully. But it helps automate mimeTeX's font
generation procedure in case you want to experiment with different
fonts. (Note that metafont emits a complaint while generating the
83dpi rsfs font. Just press <CR> and it completes
successfully.) </p>
<h2> <a name="makeraster"> (IVb) mimeTeX's make_raster()
function </a> </h2>
<p> MimeTeX converts an input LaTeX math expression to a corresponding GIF
image in two steps. First, it converts the input LaTeX expression to a
corresponding bitmap raster. Then <a href="http://shh.thathost.com"
target="_top">Sverre Huseby's</a> gifsave library, discussed
<a href="#gifsave">below</a>, converts that bitmap to the emitted gif.
Though you never explicitly see that bitmap, it's mimeTeX's principal
result. MimeTeX is written so any program can easily use its
expression-to-bitmap conversion capability with just a single line of code.
The following complete program demonstrates the simplest such use. </p>
<pre> #include <stdio.h>
#include "mimetex.h"
int main ( int argc, char *argv[] )
{
raster *rp = make_raster(argv[1],NORMALSIZE);
type_raster(rp,stdout); /* display ascii image of raster */
}</pre>
<p> Cut-and-paste the above sample code from this file to, say,
mimedemo.c (and fix the brackets around stdio.h). Then compile <br>
cc -DTEXFONTS mimedemo.c mimetex.c -lm -o mimedemo <br>
and run it from your unix shell command line like <br>
./mimedemo "x^2+y^2" </p>
<p> MimeTeX's expression-to-bitmap conversion is accomplished by the
make_raster() call, whose first argument is just a pointer to a
(null-terminated) string containing any mimeTeX-compliant LaTeX
expression, and whose second argument is the mimeTeX font size
to use (overridden if your expression contains a preamble).
The ascii display of the bitmap raster returned by make_raster()
results from the subsequent call to type_raster(). That's all
this program does, but you could use make_raster()'s returned bitmap
for any other purpose you have in mind. </p>
<p> MimeTeX's primary purpose is to emit either xbitmaps or gif images
rather than ascii displays. And mimeTeX has anti-aliasing and various
other options that further complicate its main() function compared to
the simple example above. The example below demonstrates mimeTeX
usage in the slightly more realistic situation where an input expression
is converted to a gif, without anti-aliasing, and emitted on stdout. </p>
<pre> #include <stdio.h>
#include <stdlib.h>
#include "mimetex.h"
/* --- global needed by callback function, below, for gifsave.c --- */
static raster *rp = NULL; /* 0/1 bitmap raster image */
/* --- callback function to return pixel value at col x, row y --- */
int GetPixel ( int x, int y ) /* pixel value will be 0 or 1 */
{ return (int)getpixel(rp,y,x); } /* just use getpixel() macro */
/* --- main() entry point --- */
int main ( int argc, char *argv[] )
{
/* --- get LaTeX expression from either browser query or command-line --- */
char *query = getenv("QUERY_STRING"), /* check for query string */
*expression = (query!=NULL? query : /* input either from query */
(argc>1? argv[1] : "f(x)=x^2")); /* or from command line */
/* ---- mimeTeX converts expression to bitmap raster ---- */
rp = make_raster(expression,NORMALSIZE); /* mimeTeX rasterizes expression */
/* ---- convert returned bitmap raster to gif, and emit it on stdout ---- */
if ( query != NULL ) /* Content-type line for browser */
fprintf( stdout, "Content-type: image/gif\n\n" );
/* --- initialize gifsave library and colors, and set transparent bg --- */
GIF_Create(NULL, rp->width, rp->height, 2, 8); /* init for black/white */
GIF_SetColor(0, 255, 255, 255); /* always set background white */
GIF_SetColor(1, 0, 0, 0); /* and foreground black */
GIF_SetTransparent(0); /* and set transparent background */
/* --- finally, emit compressed gif image (to stdout) --- */
GIF_CompressImage(0, 0, -1, -1, GetPixel);
GIF_Close();
}</pre>
<p> Cut-and-paste as before, compile like <br>
cc -DTEXFONTS mimedemo.c mimetex.c gifsave.c -lm -o mimedemo <br>
and run it like the first example, but this time you may want to redirect
stdout <br>
./mimedemo "x^2+y^2"
<b>></b> mimedemo.gif <br>
since output is now a gif image consisting of mostly unprintable bytes.
Input is typically from the command line as illustrated, but this example
checks for a browser query string too. That means you could actually
replace mimetex.cgi with this executable, though anti-aliasing wouldn't
be available. </p>
<p> Of course, this example's intent isn't to replace the mimetex.cgi
executable, but rather to illustrate GIFSAVE library usage, documented
in detail below. And this example also illustrates usage of several
mimeTeX raster structure elements, like rp->width and rp->height.
So you'll probably also want to refer to mimetex.h, which contains those
raster structures and other relevant definitions. For instance, the
example's GetPixel() callback function illustrates usage of the getpixel()
macro in mimetex.h, to retrieve individual pixels by their x,y-coordinates.
And there's a similar setpixel() macro in mimetex.h to store pixels.
After completing all this reading, you'll be prepared to begin using
mimeTeX functions in your own code. </p>
<h2> <a name="gifsave">
(IVc)</a> <a href="http://shh.thathost.com" target="_top">Sverre Huseby's</a>
gifsave.c library </h2>
<p> The information below is taken from the README file accompanying
<a href="http://shh.thathost.com" target="_top">Sverre Huseby's</a>
distribution of GIFSAVE. I've made a few small editorial modifications,
including descriptions of the several minor changes necessary
to support mimeTeX. And the mimeTeX example program immediately above
uses GIFSAVE in a very straightforward way that should help clarify
any questions which may remain after reading the documentation below. </p>
<pre>
INTRODUCTION
============
The GIFSAVE functions make it possible to save GIF images from
your own C programs.
GIFSAVE creates simple GIF files following the GIF87a standard.
Interlaced images cannot be created. There should only be
one image per file.
GIFSAVE consists of five functions, all returning type int,
and no separate header file is required.
The functions should be called in the order listed below
for each GIF-file. One file must be closed before a new one
can be created.
GIF_Create() creates new GIF-files. It takes parameters
specifying filename, screen size, number of colors,
and color resolution.
GIF_SetColor() sets up red, green, blue color components.
It should be called once for each possible color.
GIF_SetTransparent() is optional. If called, it sets the
color number of the color that should be transparent,
i.e., the background color shows through this one.
GIF_CompressImage() performs the compression of the image.
It accepts parameters describing the position and size
of the image on screen, and a user defined callback
function that is supposed to fetch the pixel values.
GIF_Close() terminates and closes the file.
To use these functions, you must also write a callback
function that returns the pixel values for each point
in the image.
THE FUNCTIONS
=============
GIF_Create()
------------
Function Creates a new GIF-file, and stores info on
the screen.
Syntax int GIF_Create(
char *filename,
int width, int height,
int numcolors, int colorres
);
Remarks Creates a new (or overwrites an existing)
GIF-file with the given filename. No
.GIF-extension is added.
If filename is passed as a NULL pointer,
output is directed to stdout.
The width- and height- parameters specify
the size of the image in pixels.
numcolors is the number of colors used in
the image.
colorres is number of bits used to encode a
primary color (red, green or blue).
In GIF-files, colors are built by combining
given amounts of each primary color.
On VGA-cards, each color is built by
combining red, green and blue values in
the range [0, 63]. Encoding the number 63
would require 6 bits, so colorres would be
set to 6.
Return value GIF_OK - OK
GIF_ERRCREATE - Error creating file
GIF_ERRWRITE - Error writing to file
GIF_OUTMEM - Out of memory
GIF_SetColor()
--------------
Function Specifies the primary color component of a
color used in the image.
Syntax void GIF_SetColor(
int colornum,
int red, int green, int blue
);
Remarks This function updates the colortable-values
for color number colornum in the image.
Should be called for each color in the range
[0, numcolors]
with red, green and blue components in the
range [0, (2^colorres)-1]
colorres and colornum are values previousely
given to the function GIF_Create().
Return value None
GIF_SetTransparent()
--------------------
Function Specifies the color number of the color
that should be considered transparent.
Syntax void GIF_SetTransparent(
int colornum
);
Remarks Need not be called at all. But if called,
should be called only once with colornum in
the range [0, numcolors] i.e., colornum
must be one of the values previously
given to GIF_SetColor().
Return value None
GIF_CompressImage()
-------------------
Function Compresses an image and stores it in the
current file.
Syntax int GIF_CompressImage(
int left, int top,
int width, int height,
int (*getpixel)(int x, int y)
);
Remarks The left- and top- parameters indicate the
image offset from the upper left corner of
the screen. They also give the start values
for calls to the userdefined callback
function.
width and height give the size of the image.
A value of -1 indicates the equivalent screen
size given in the call to GIF_Create().
If the image is supposed to cover the entire
screen, values 0, 0, -1, -1 should be given.
GIF_CompressImage() obtains the pixel values
by calling a user specified function. This
function is passed in the parameter getpixel.
See "callback()" further down for a
description of this function.
Return value GIF_OK - OK
GIF_ERRWRITE - Error writing to file
GIF_OUTMEM - Out of memory
GIF_Close()
-----------
Function Closes the GIF-file.
Syntax int GIF_Close(void);
Remarks This function writes a terminating descriptor
to the file, and then closes it. Also frees
memory used by the other functions of GIFSAVE.
Return value GIF_OK - OK
GIF_ERRWRITE - Error writing to file
THE CALLBACK FUNCTION
=====================
callback()
----------
Function Obtains pixel-values for the
GIF_CompressImage() -function.
Syntax int callback(int x, int y);
Remarks This function must be written by the
programmer. It should accept two integer
parameters specifying a point in the image,
and return the pixel value at this point.
The ranges for these parameters are as
follows
x : [img_left, img_left + img_width - 1]
y : [img_top, img_top + img_height - 1]
where img_left, img_top, img_width and
img_height are the values left, top, width
and height passed to GIF_CompressImage().
An example; if the screen has width 640 and
height 350, and the image covers the entire
screen, x will be in the range [0, 639]
and y in the range [0, 349].
callback() need not get its values from the
screen. The values can be fetched from a
memory array, they can be calculated for
each point requested, etc.
The function is passed as a parameter to
GIF_CompressImage(), and can thus have any
name, not only callback().
Return value Pixel value at the point requested. Should
be in the range [0, numcolors-1] where
numcolors is as specified to GIF_Create().
</pre>
<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
CONCLUDING REMARKS
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -->
<h1 id="remarks"> Concluding Remarks </h1>
<p> I hope you find mimeTeX useful. If so, a contribution to your
country's <a href="http://www.tug.org" target="_top">TeX Users Group</a>,
or to the <a href="http://www.gnu.org" target="_top">GNU</a> project, is
suggested, especially if you're a company that's currently profitable. </p>
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