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version 1.2, 2006/03/24 23:08:33	version 1.4, 2008/12/04 12:17:13
Line 1	Line 1
<!--	<!--
****************************************************************************	****************************************************************************
* Copyright(c) 2002-2005, John Forkosh Associates, Inc. All rights reserved.	* Copyright(c) 2002-2008, 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	* 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,	* and/or modify it under the terms of the GNU General Public License,
* version 2 or later, as published by the Free Software Foundation.	* version 3 or later, as published by the Free Software Foundation.
* MimeTeX is distributed in the hope that it will be useful, but	* MimeTeX is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY, not even the implied warranty of MERCHANTABILITY.	* WITHOUT ANY WARRANTY, not even the implied warranty of MERCHANTABILITY.
* See the GNU General Public License for specific details.	* See the GNU General Public License for specific details.
Line 12	Line 13
* agreed to these terms and conditions, and that you possess the legal	* agreed to these terms and conditions, and that you possess the legal
* right and ability to enter into this agreement and to use mimeTeX	* right and ability to enter into this agreement and to use mimeTeX
* in accordance with it.	* in accordance with it.
* Your mimeTeX distribution should contain a copy of the GNU General	* Your mimetex.zip distribution file should contain the file COPYING,
* Public License. If not, write to the Free Software Foundation, Inc.,	* an ascii text copy of the GNU General Public License, version 3.
* 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA,	* If not, point your browser to http://www.gnu.org/licenses/
* or point your browser to http://www.gnu.org/licenses/gpl.html	* 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"	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
Line 99 Preamble	Line 101 Preamble
document.expression.formdata.focus(); }	document.expression.formdata.focus(); }
-->	-->
</script>	</script>

	<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
	+ 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>	</head>
<body>	<body>

Line 117 Banner across top of page, containing ti	Line 125 Banner across top of page, containing ti
<td align="center" valign="middle">	<td align="center" valign="middle">
<center> <font color="maroon" size=4>	<center> <font color="maroon" size=4>
<b><nobr>m i m e T e X   m a n u a l</nobr></b> <br>	<b><nobr>m i m e T e X   m a n u a l</nobr></b> <br>
<font size=3>( for mimeTeX version 1.60 )</font> <br>	<font size=3>( for mimeTeX version 1.70 )</font> <br>
<font size=3> <b>Click for:</b>	<font size=3> <b>Click for:</b>
<!-- <a href="http://www.forkosh.com" target="_top">homepage</a>,	<!-- <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/resume.html" target="_top">resume</a> -->
Line 126 Banner across top of page, containing ti	Line 134 Banner across top of page, containing ti
<a href="http://www.forkosh.com/mimetex.html" target="_top">	<a href="http://www.forkosh.com/mimetex.html" target="_top">
mimeTeX QuickStart</a><br>	mimeTeX QuickStart</a><br>
<a href="http://www.forkosh.com/mimetex.zip">	<a href="http://www.forkosh.com/mimetex.zip">
<!-- jfa <a href="ftp://ftp.tex.ac.uk/tex-archive/support/mimetex/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 size=4>download mimeTeX</font></a></font>
</font> </center> </td>	</font> </center> </td>
<td align="center">	<td align="center">
Line 140 Banner across top of page, containing ti	Line 148 Banner across top of page, containing ti
</center>	</center>
<hr size=4>	<hr size=4>
<center><b><font color="maroon" size=3>	<center><b><font color="maroon" size=3>
Copyright <font size=5>©</font> 2002-2005,	Copyright <font size=5>©</font> 2002-2008,
<a href="http://www.forkosh.com">John Forkosh Associates, Inc.</a> <br>	<a href="http://www.forkosh.com">John Forkosh Associates, Inc.</a> <br>
email: <a href="mailto:john@forkosh.com">john@forkosh.com</a>	email: <a href="mailto:john@forkosh.com">john@forkosh.com</a>
</font></b> <br><br>	</font></b> <br><br>
Line 219 Table of Contents	Line 227 Table of Contents
<b>     unzip mimetex.zip</b> <br>	<b>     unzip mimetex.zip</b> <br>
<b>     cc -DAA mimetex.c gifsave.c -lm -o mimetex.cgi</b>	<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>	<br>Now just <b>mv</b> mimetex.cgi to your <b>cgi-bin/</b>
directory, <br> and you're all done. </font></td></tr>	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 colspan="2"> <font size="2"> </font> </td></tr>
<tr><td align="right" valign="top">	<tr><td align="right" valign="top">
<a href="#introduction">Usage</a>:     </td>	<a href="#introduction">Usage</a>:     </td>
Line 261 SECTION I. INTRODUCTION	Line 270 SECTION I. INTRODUCTION
<a href="#preview"><img id="imageI1" onclick="eqntext('imageI1')"	<a href="#preview"><img id="imageI1" onclick="eqntext('imageI1')"
src="../cgi-bin/mimetex.cgi?\normalsize	src="../cgi-bin/mimetex.cgi?\normalsize
f(x)=\int\limits_{-\infty}^xe^{-t^2}dt"	f(x)=\int\limits_{-\infty}^xe^{-t^2}dt"
alt="" border=0 align=middle></a> wherever you put that <img&gt tag.	alt="" border=0 style="Vertical-Align:-11px"></a>
	wherever you put that <img&gt tag.
MimeTeX doesn't need intermediate dvi-to-gif conversion, and it doesn't	MimeTeX doesn't need intermediate dvi-to-gif conversion, and it doesn't
create separate gif files for each converted expression. </p>	create separate gif files for each converted expression.
	(But you can enable image caching with mimeTeX's
<p> There's also no inherent need to repeatedly write the cumbersome	<b>-DCACHEPATH=\"<i>path/</i>\"</b>
<img> tag illustrated above. You can write your own custom	<a href="#options">compile option</a>.) </p>
tags, or write a wrapper script around mimeTeX to simplify the
notation. For example,	<h3> <a name="plugins">
<a href="http://www.pmichaud.com/wiki/PmWiki/PmWiki" target="_top">	mimeTeX plugins<font size=5>...</font></a> </h3>
PmWiki</a> already has a	<p> There's no inherent need to repeatedly write the cumbersome
<a href="http://www.pmichaud.com/wiki/Cookbook/MimeTeX" target="_top">	<img> tag illustrated above. You can write your own <a href=
mimeTeX plugin</a> that lets you just write	"http://java.sun.com/j2ee/1.4/docs/tutorial/doc/JSPIntro9.html#wp73314"
<b>{$ f(x)=\int_{-\infty}^xe^{-t^2}dt $}</b>	target="_top">custom tags</a>,
to obtain the same image. Or, if you're using	or write a wrapper script around mimeTeX to simplify the
<a href="http://www.phpbb.com" target="_top">phpBB</a>, then	notation. </p>
<a href="http://www.themathforum.com" target="_top">Jameson</a>
contributed the following one-line mod that lets you just write	<p style="margin-bottom:0"> For example,
<b>[tex] ... [/tex]</b> to obtain mimeTeX images: </p>	the following javascript snippet (based on
<pre class="medium"> #--------[open]-----------------------------------------------------	<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	/includes/bbcode.php
#--------[find]-----------------------------------------------------	#--------[find]-----------------------------------------------------
// Remove our padding from the string..	// Remove our padding from the string..
Line 287 SECTION I. INTRODUCTION	Line 358 SECTION I. INTRODUCTION
$text = preg_replace('/\[tex\](.*?)\[\/tex\]/ie',	$text = preg_replace('/\[tex\](.*?)\[\/tex\]/ie',
"'<img src=\"/cgi-bin/mimetex.cgi?'.rawurlencode('$1').'\" align=\"middle\" />'",	"'<img src=\"/cgi-bin/mimetex.cgi?'.rawurlencode('$1').'\" align=\"middle\" />'",
$text);</pre>	$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.pmichaud.com/wiki/PmWiki/PmWiki"
	target="_top">PmWiki</a> also has a
	<a href="http://www.pmichaud.com/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.pmichaud.com/wiki/PmWiki/PmWiki" target="_top">
	PmWiki</a> </td> <td>   </td>
	<td align=center>
	<a href="http://www.pmichaud.com/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"
	target="_top">Wikimedia</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>
	<!--- 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:-11px"></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. </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 . $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 . $expression;
	echo ' <img src="',$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:-5px"></a>
	correctly aligned. <!-- Besides making you escape backslashes
	(each \ must be written \\), -->
	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>, 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. </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	<p> MimeTeX's benefit over similar math-on-the-web solutions is, as
mentioned above, its easy installation. But if that's not a	mentioned above, its easy installation. But if that's not a
problem for you, and if your site's server already has a LaTeX	problem for you, and if your site's server already has a LaTeX
Line 301 SECTION I. INTRODUCTION	Line 547 SECTION I. INTRODUCTION
<a href="#preview"><img id="imageI2" onclick="eqntext('imageI2')"	<a href="#preview"><img id="imageI2" onclick="eqntext('imageI2')"
src="../cgi-bin/mimetex.cgi?\normalsize	src="../cgi-bin/mimetex.cgi?\normalsize
f(x)=\int\limits_{-\infty}^xe^{-t^2}dt"	f(x)=\int\limits_{-\infty}^xe^{-t^2}dt"
alt="" border=0 align=middle></a>, with arbitrary mean	alt="" border=0 style="Vertical-Align:-11px"></a>,
	with arbitrary mean
<a href="#preview"><img id="imageI3" onclick="eqntext('imageI3')"	<a href="#preview"><img id="imageI3" onclick="eqntext('imageI3')"
src="../cgi-bin/mimetex.cgi?\large\mu" alt="" border=0 align=middle></a>	src="../cgi-bin/mimetex.cgi?\large\mu" alt="" border=0
and standard deviation	style="Vertical-Align:-5px"></a> and standard deviation
<a href="#preview"><img id="imageI4" onclick="eqntext('imageI4')"	<a href="#preview"><img id="imageI4" onclick="eqntext('imageI4')"
src="../cgi-bin/mimetex.cgi?\large\sigma" alt="" border=0	src="../cgi-bin/mimetex.cgi?\large\sigma" alt="" border=0
align=middle></a>, and at mimeTeX's next larger font size, looks like </p>	style="Vertical-Align:0px"></a>,
	and at mimeTeX's next larger font size, looks like </p>
<center>	<center>
<table>	<table>
<tr align="center">	<tr align="center">
<td> <font size="4">mimeTeX</font> </td>	<td> <font size="4">latexrender</font> </td>
<td> <img src="../cgi-bin/mimetex.cgi?\hspace{30}"	<td> <img src="../cgi-bin/mimetex.cgi?\hspace{30}"
alt="" border=0> </td>	alt="" border=0> </td>
<td> <font size="4">latexrender</font> </td>	<td> <font size="4">mimeTeX</font> </td>
</tr>	</tr>
<tr align="center">	<tr align="center">
	<td> <img src="http://www.forkosh.com/lrender.gif"
	alt="" border=0 align=middle> </td>
	<td>   </td>
<td>	<td>
<a href="#preview"><img id="imageI5" onclick="eqntext('imageI5')"	<a href="#preview"><img id="imageI5" onclick="eqntext('imageI5')"
src="../cgi-bin/mimetex.cgi?\large	src="../cgi-bin/mimetex.cgi?\large
f(x)={\Large\frac1{\sigma\sqrt{2\pi}}}	f(x)={\Large\frac1{\sigma\sqrt{2\pi}}}
\int_{\small-\infty}^xe^{\small-\frac{(t-\mu)^2}{2\sigma^2}}dt"	\int_{\small-\infty}^xe^{-\small\frac{(t-\mu)^2}{2\sigma^2}}dt"
alt="" border=0 align=middle></a> </td>	alt="" border=0 align=middle></a> </td>
<td>   </td>
<td> <img src="http://www.forkosh.com/lrender.gif"
alt="" border=0 align=middle> </td>
</tr>	</tr>
</table>	</table>
</center>	</center>
<p> Similar LaTeX-based solutions that you may want to look at are	<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"	<a href="http://www.fourmilab.ch/webtools/textogif/textogif.html"
target="_top">textogif</a> and	target="_top">textogif</a> and
<a href="http://www.math.uio.no/~martingu/gladtex/"	<a href="http://www.math.uio.no/~martingu/gladtex/"
Line 338 SECTION I. INTRODUCTION	Line 587 SECTION I. INTRODUCTION
target="_top">www.tug.org/interest.html</a> and in the	target="_top">www.tug.org/interest.html</a> and in the
<a href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=LaTeX2HTML"	<a href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=LaTeX2HTML"
target="_top">tex-faq</a>. </p>	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> <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>	<p> The remainder of this introductory mimeTeX tutorial section contains </p>
<ul>	<ul>
Line 368 QUICKSTART	Line 660 QUICKSTART
math markup to use it. If you're not, many online 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>	<a href="http://www.tug.org/begin.html#doc" target="_top">turorials</a>
are readily available. You may also want to browse Andrew Roberts'	are readily available. You may also want to browse Andrew Roberts'
<a href="http://www.comp.leeds.ac.uk/andyr/misc/latex/latextutorial9.html"	<a href="http://www.andy-roberts.net/misc/latex/latextutorial9.html"
target="_top">Latex Math I</a> and	target="_top">Latex Math I</a> and
<a href="http://www.comp.leeds.ac.uk/andyr/misc/latex/latextutorial10.html"	<a href="http://www.andy-roberts.net/misc/latex/latextutorial10.html"
target="_top">Latex Math II</a>, or my own	target="_top">Latex Math II</a>, or my own
<a href="http://www.forkosh.com/mimetextutorial.html" target="_top">	<a href="http://www.forkosh.com/mimetextutorial.html" target="_top">
LaTeX math tutorial</a>.	LaTeX math tutorial</a>.
Line 397 QUICKSTART	Line 689 QUICKSTART
renders	renders
<a href="#preview"> <img id="imageBu" onclick="eqntext('imageBu')"	<a href="#preview"> <img id="imageBu" onclick="eqntext('imageBu')"
src="../cgi-bin/mimetex.cgi?\large a+\small b+c"	src="../cgi-bin/mimetex.cgi?\large a+\small b+c"
alt="" border=0 align=bottom></a>,   whereas	alt="" border=0 style="Vertical-Align:-2px"></a>,
"<b>\small a+{\Large b+}c</b>"   renders	whereas   "<b>\small a+{\Large b+}c</b>"
	renders
<a href="#preview"> <img id="imageBv" onclick="eqntext('imageBv')"	<a href="#preview"> <img id="imageBv" onclick="eqntext('imageBv')"
src="../cgi-bin/mimetex.cgi?\small a+{\Large b+}c"	src="../cgi-bin/mimetex.cgi?\small a+{\Large b+}c"
alt="" border=0 align=bottom></a>. </li>	alt="" border=0 style="Vertical-Align:-2px"></a>. </li>
<!-- <li> At smaller font sizes, try preceding your expression with	<!-- <li> At smaller font sizes, try preceding your expression with
<b>\light</b>   which adjusts mimeTeX's anti-aliasing	<b>\light</b>   which adjusts mimeTeX's anti-aliasing
parameters to produce thinner lines that you may feel are	parameters to produce thinner lines that you may feel are
Line 432 QUICKSTART	Line 725 QUICKSTART
By default, mimeTeX renders limits textstyle	By default, mimeTeX renders limits textstyle
<a href="#preview"> <img id="imageB1" onclick="eqntext('imageB1')"	<a href="#preview"> <img id="imageB1" onclick="eqntext('imageB1')"
src="../cgi-bin/mimetex.cgi?\normalsize\textstyle	src="../cgi-bin/mimetex.cgi?\normalsize\textstyle
\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0 align=middle></a>	\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0
at sizes <b>\normalsize</b> and smaller,	style="Vertical-Align:-5px"></a>
	at sizes <b>\normalsize</b> and smaller,
and renders them displaystyle	and renders them displaystyle
<a href="#preview"> <img id="imageB2" onclick="eqntext('imageB2')"	<a href="#preview"> <img id="imageB2" onclick="eqntext('imageB2')"
src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle	src="../cgi-bin/mimetex.cgi?\normalsize\displaystyle
\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0 align=middle></a>	\sum_{n=0}^\infty\frac{x^n}{n!}" alt="" border=0
at sizes <b>\large</b> and larger.	style="Vertical-Align:-15px"></a>
	at sizes <b>\large</b> and larger.
The LaTeX directives <b>\displaystyle</b> or <b>\textstyle</b>,	The LaTeX directives <b>\displaystyle</b> or <b>\textstyle</b>,
and <b>\limits</b> or <b>\nolimits</b>, override mimeTeX's default	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>	in the usual way. Or see the <b>-DDISPLAYSIZE=<i>n</i></b>
Line 480 QUICKSTART	Line 775 QUICKSTART
<a href="#preview"><img id="imageIA3" onclick="eqntext('imageIA3')"	<a href="#preview"><img id="imageIA3" onclick="eqntext('imageIA3')"
src="../cgi-bin/mimetex.cgi?\normalsize	src="../cgi-bin/mimetex.cgi?\normalsize
f(x)=\int\limits_{-\infty}^x e^{-t^2}dt"	f(x)=\int\limits_{-\infty}^x e^{-t^2}dt"
alt="" border=0 align=middle></a> if you submit the sample expression	alt="" border=0 style="Vertical-Align:-11px"></a>
already in the box. </p>	if you submit the sample expression already in the box. </p>

<p> And the <img> tag to embed this same integral anywhere	<p> And the <img> tag to embed this same integral anywhere
in your own document is </p>	in your own document is </p>
Line 563 EXAMPLES	Line 858 EXAMPLES
alt="" border=0 align=middle></a> &nbsp &nbsp	alt="" border=0 align=middle></a> &nbsp &nbsp
<a href="#preview">	<a href="#preview">
<img id="example1d" onclick="eqntext('example1d')"	<img id="example1d" onclick="eqntext('example1d')"
src="../cgi-bin/mimetex.cgi?\reverse\opaque\light	src="../cgi-bin/mimetex.cgi?\reverse\opaque
\LARGE e^x=\sum_{n=0}^\infty\frac{x^n}{n!}"	\LARGE e^x=\sum_{n=0}^\infty\frac{x^n}{n!}"
alt="" border=0 align=middle></a> &nbsp &nbsp	alt="" border=0 align=middle></a> &nbsp &nbsp
<a href="#preview">	<a href="#preview">
Line 840 using \longxxxarrow[] and \begin{array}	Line 1135 using \longxxxarrow[] and \begin{array}
available with mimeTeX. All symbols and sizes from cmr, cmmi,	available with mimeTeX. All symbols and sizes from cmr, cmmi,
cmmib (use <b>\mathbf{ }</b>), cmsy, cmex, bbold (use	cmmib (use <b>\mathbf{ }</b>), cmsy, cmex, bbold (use
<b>\mathbb{ }</b>), rsfs (use <b>\mathscr{ }</b>),	<b>\mathbb{ }</b>), rsfs (use <b>\mathscr{ }</b>),
and stmary should be available, but they're not all shown.	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,	And also not shown are various "constructed symbols" like \sqrt,
accents, etc. The illustrated font sizes are numbered 4=\Large,	accents, etc. The illustrated font sizes are numbered 4=\Large,
3=\large and 2=\normalsize (not shown are 7=\Huge, 6=\huge,	3=\large and 2=\normalsize (not shown are 7=\Huge, 6=\huge,
Line 912 to the larger size in \displaystyle mode	Line 1208 to the larger size in \displaystyle mode
1$\rm~117-127:~&\sqcap&\sqsubseteq&\sqsupseteq&\S&\dag&\ddag&\P&\clubsuit&	1$\rm~117-127:~&\sqcap&\sqsubseteq&\sqsupseteq&\S&\dag&\ddag&\P&\clubsuit&
\Diamond&\Heart&\spadesuit}" alt="" border=0 align=middle> </p>	\Diamond&\Heart&\spadesuit}" alt="" border=0 align=middle> </p>

<h3>a few other cmmi, cmr, and stmary symbols at mimeTeX font size 4</h3>	<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$	<p> <img src="../cgi-bin/mimetex.cgi?\array{4,r$
1$\rm~cmmi:~&\leftharpoonup&\leftharpoondo&\rightharpoonup&\rightharpoondo&	1$\rm~cmmi:~&\leftharpoonup&\leftharpoondo&\rightharpoonup&\rightharpoondo&
\triangleright&\triangleleft&\star&\partial&	\triangleright&\triangleleft&\star&\partial&
\flat&\natural&\sharp&\smile&\frown&\ell&\imath&\jmath&\wp&\vec\\	\flat&\natural&\sharp&\smile&\frown&\ell&\imath&\jmath&\wp&\vec\\
1$\rm~cmr:~&\ss&\ae&\oe&\AE&\OE \\	1$\rm~cmr:~&\ss&\ae&\oe&\AE&\OE \\
1$\rm~stmary:~&\moo&\Lbag&\Rbag&\lightning&\llbracket&\rrbracket&	1$\rm~stmary:~&\moo&\Lbag&\Rbag&\lightning&\llbracket&\rrbracket&
\subsetpluseq&\supsetpluseq&\Yup&\Ydown}"	\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>	alt="" border=0 align=middle> </p>


Line 953 Indira Gandhi, the late Prime Minister o	Line 1252 Indira Gandhi, the late Prime Minister o

<p> To protect your own intellectual property, I recommend	<p> To protect your own intellectual property, I recommend
<a href="http://lcweb.loc.gov/copyright/circs/circ1.html"	<a href="http://lcweb.loc.gov/copyright/circs/circ1.html"
target="_top">Copyright Basics</a> from The Library of Congress, and	target="_top">Copyright Basics</a> from The Library of Congress,
similarly, <a href="http://www.abanet.org/intelprop/comm106/106copy.html"	in particular <a href="http://www.copyright.gov/circs/circ61.html"
target="_top">Copyright Basics</a> from The American Bar Association.	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	Very briefly, download
<a href="http://www.copyright.gov/forms/formtxi.pdf">Form TX</a>	<a href="http://www.copyright.gov/forms/formtxi.pdf">Form TX</a>
and follow the included instructions.	and follow the included instructions.
In principle, you automatically own the copyright	In principle, you automatically own the copyright
to anything you write the moment it's on paper. In practice,	to anything you write the moment it's on paper. In practice,
if the matter comes under dispute, the courts look _very_ favorably	if the matter comes under dispute, the courts look _very_ favorably
on you for demonstrating your intent by registering the copyright. </p>	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>


<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++	<!-- +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Line 975 SECTION II. BUILDING MIMETEX	Line 1280 SECTION II. BUILDING MIMETEX
<table border="0" cellpadding="0" cellspacing="0">	<table border="0" cellpadding="0" cellspacing="0">
<tr><td><center><hr size="2">Very quickly   ---   download	<tr><td><center><hr size="2">Very quickly   ---   download
<a href="http://www.forkosh.com/mimetex.zip">	<a href="http://www.forkosh.com/mimetex.zip">
<!-- jfa <a href="ftp://ftp.tex.ac.uk/tex-archive/support/mimetex/mimetex.zip"> -->	<!-- jfa <a href="ftp://ftp.tex.ac.uk/tex-archive/support/mimetex/mimetex.zip"></a> -->
mimetex.zip</a> and then type	mimetex.zip</a> and then type
<table border="0" cellpadding="0" cellspacing="0">	<table border="0" cellpadding="0" cellspacing="0">
<tr align="left">	<tr align="left">
Line 1003 SECTION II. BUILDING MIMETEX	Line 1308 SECTION II. BUILDING MIMETEX
<ul>	<ul>
<li> Download and unzip	<li> Download and unzip
<a href="http://www.forkosh.com/mimetex.zip">	<a href="http://www.forkosh.com/mimetex.zip">
<!-- jfa <a href="ftp://ftp.tex.ac.uk/tex-archive/support/mimetex/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.	mimetex.zip</a> in any convenient working directory.
Your working directory should now contain <center>	Your working directory should now contain <center>
<table cellpadding=0 cellspacing=0>	<table cellpadding=0 cellspacing=0>
<tr><td width=100>README</td> <td>mimeTeX release notes</td></tr>	<tr><td width=100>README</td> <td>mimeTeX release notes</td></tr>
<tr><td>LICENSE</td> <td>GPL license, under which you may use	<tr><td>COPYING</td> <td>GPL license, under which you may use
mimeTeX</td></tr>	mimeTeX</td></tr>
<tr><td>mimetex.c</td> <td>mimeTeX source program and all required	<tr><td>mimetex.c</td> <td>mimeTeX source program and all required
functions</td></tr>	functions</td></tr>
Line 1137 Ascii dump of bitmap image...	Line 1442 Ascii dump of bitmap image...
<b>http://www.<i>yourdomain</i>.com/cgi-bin/mimetex.cgi?x^2+y^2</b> <br>	<b>http://www.<i>yourdomain</i>.com/cgi-bin/mimetex.cgi?x^2+y^2</b> <br>
which should display	which should display
<img src="../cgi-bin/mimetex.cgi?\normalsize x^2+y^2" alt="" border=0	<img src="../cgi-bin/mimetex.cgi?\normalsize x^2+y^2" alt="" border=0
align=middle>   in the upper-left corner of your window,	style="Vertical-Align:-3px">
	in the upper-left corner of your window,
just like clicking this link does, which tests my mimetex.cgi, <br>	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"	<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>	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?	If you see the same   <img src="../cgi-bin/mimetex.cgi?
\normalsize x^2+y^2" alt="" border=0 align=middle>   image	\normalsize x^2+y^2" alt="" border=0 style="Vertical-Align:-3px">
from the <b><i>yourdomain</i></b> link, then you've completed	image from the <b><i>yourdomain</i></b> link, then you've completed
a successful mimeTeX installation. </p>	a successful mimeTeX installation. </p>

<p> If you don't see the image, then your installation failed.	<p> If you don't see the image, then your installation failed.
Line 1230 Ascii dump of bitmap image...	Line 1536 Ascii dump of bitmap image...
is relative to mimetex.cgi, and must be writable by it.	is relative to mimetex.cgi, and must be writable by it.
Files created under <b><i>path/</i></b> are named	Files created under <b><i>path/</i></b> are named
<b><i>filename</i>.gif</b>, where <b><i>filename</i></b>	<b><i>filename</i>.gif</b>, where <b><i>filename</i></b>
is the 32-character MD5 hash of the LaTeX expression. <br>	is the 32-character MD5 hash of your LaTeX expression. <br>
When caching a new image, mimeTeX also	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	updates the file <b><i>path/</i>mimetex.log</b> containing
a timestamp, filename and LaTeX expression for each new file	a timestamp, filename and LaTeX expression for each new file
created. A sample entry looks like	created. A sample entry looks like
<pre>---------------------------------------------------------------------	<pre>---------------------------------------------------------------------
2004-08-07:09:00:53am f8ccc8dd93c8eeb1d9c40b353ef781e0.gif	2008-09-07:11:29:53am f8ccc8dd93c8eeb1d9c40b353ef781e0.gif
\LARGE x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}	\LARGE x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
---------------------------------------------------------------------</pre></dd>	---------------------------------------------------------------------</pre></dd>
<dt><b>-DDEFAULTSIZE=<i>n</i></b> </dt>	<dt><b>-DDEFAULTSIZE=<i>n</i></b> </dt>
Line 1262 Ascii dump of bitmap image...	Line 1577 Ascii dump of bitmap image...
<b>\textstyle</b>, <b>\displaystyle</b>, <b>\limits</b> or	<b>\textstyle</b>, <b>\displaystyle</b>, <b>\limits</b> or
<b>\nolimits</b> directives in an expression always override	<b>\nolimits</b> directives in an expression always override
the <b>DISPLAYSIZE</b> default. </dd>	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>-DNEWCOMMANDS=\"<i>newcommands.h</i>\"</b> </dt>	<dt><b>-DNEWCOMMANDS=\"<i>newcommands.h</i>\"</b> </dt>
<dd> LaTeX-like <b>\newcommand</b>'s are available in mimeTeX,	<dd> LaTeX-like <b>\newcommand</b>'s are available in mimeTeX,
via the following facility to help you define your	via the following facility to help you define your
Line 1313 Ascii dump of bitmap image...	Line 1633 Ascii dump of bitmap image...
<br>     To see many additional examples, search for the	<br>     To see many additional examples, search for the
uppercase string NEWCOMMANDS in mimetex.c, and look below that.	uppercase string NEWCOMMANDS in mimetex.c, and look below that.
All the above examples are already there. </dd>	All the above examples are already there. </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>	<dt> <b>-DPATHPREFIX=\"<i>path/</i>\"</b> </dt>
<dd> The <a href="#input">\input{ }</a> and	<dd> The <a href="#input">\input{ }</a> and
<a href="#counter">\counter{ }</a> commands discussed below	<a href="#counter">\counter{ }</a> commands discussed below
Line 1324 Ascii dump of bitmap image...	Line 1648 Ascii dump of bitmap image...
defined as <i>path</i><b>/</b> if you want input files in some	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	other directory. And make sure your <i>path</i><b>/</b> ends
with <b>/</b> (or with <b>\</b> for Windows). </dd>	with <b>/</b> (or with <b>\</b> for Windows). </dd>
<dt> <b>-DREFERER=\"<i>domain</i>\" or <br>	<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>	-DREFERER=\"<i>domain1,domain2,etc</i>\"</b> </dt>
<dd> Blocks mimeTeX requests from unauthorized domains that	<dd> Blocks mimeTeX requests from unauthorized domains that
are using your mimetex.cgi (hence your server's resources)	are using your mimetex.cgi (hence your server's resources)
Line 1355 Ascii dump of bitmap image...	Line 1705 Ascii dump of bitmap image...
could conceivably flood your file system by submitting	could conceivably flood your file system by submitting
zillions of <b>\counter{<i>filename</i>}</b> commands	zillions of <b>\counter{<i>filename</i>}</b> commands
to mimeTeX, each with a different <b><i>filename</i></b>. </dd>	to mimeTeX, each with a different <b><i>filename</i></b>. </dd>
<dt><b>-DSMASHMARGIN=<i>n</i> or <br>	<dt><b>-DSMASHMARGIN=<i>n</i>       <i>-or-</i><br>
-DNOSMASH</b> </dt>	-DNOSMASH</b> </dt>
<dd> TeX typically renders an expression like	<dd> TeX typically renders an expression like
<b>\frac12\int_{a+b+c}^{d+e+f}g(x)dx</b> as <a href="#preview">	<b>\frac12\int_{a+b+c}^{d+e+f}g(x)dx</b> as <a href="#preview">
Line 1373 Ascii dump of bitmap image...	Line 1723 Ascii dump of bitmap image...
number of pixels between smashed symbols (default is 3),	number of pixels between smashed symbols (default is 3),
compile with <b>-DSMASHMARGIN=<i>n</i></b>.	compile with <b>-DSMASHMARGIN=<i>n</i></b>.
See <a href="#smash">Smash</a> for further discussion. </dd>	See <a href="#smash">Smash</a> for further discussion. </dd>
<dt> <b>-DWARNINGS=<i>n</i> or <br>	<dt> <b>-DWARNINGS=<i>n</i>       <i>-or-</i> <br>
-DNOWARNINGS</b> </dt>	-DNOWARNINGS</b> </dt>
<dd> If an expression submitted to mimeTeX contains an	<dd> If an expression submitted to mimeTeX contains an
unrecognzied escape sequence, e.g., "y=x+\abc+1", then	unrecognzied escape sequence, e.g., "y=x+\abc+1", then
Line 1387 Ascii dump of bitmap image...	Line 1737 Ascii dump of bitmap image...
<dt> <b>-DWHITE</b> </dt>	<dt> <b>-DWHITE</b> </dt>
<dd> MimeTeX usually renders black symbols on a white	<dd> MimeTeX usually renders black symbols on a white
background. This option renders white symbols on	background. This option renders white symbols on
a black background instead. </dd>	a transparent black background instead (or on an opaque
	black background when combined with <b>-DOPAQUE</b> ). </dd>
</dl>	</dl>


Line 1403 Ascii dump of bitmap image...	Line 1754 Ascii dump of bitmap image...
possibly useful functionality from the command line. In particular,	possibly useful functionality from the command line. In particular,
you can store a gif (or xbitmap) image of any expression to a file.	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	No syntax checking is applied to command-line arguments, so enter
them carefully. </p>	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>	<p> The complete command-line syntax for mimeTeX is </p>
<pre>	<pre>
Line 1468 Ascii dump of bitmap image...	Line 1821 Ascii dump of bitmap image...
display utility,	display utility,
./mimetex -o -d "x^2+y^2" \| display &	./mimetex -o -d "x^2+y^2" \| display &
opens a small window containing the rendered expression.	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	-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	within the expression by a directive, e.g., \Large f(x)=x^2
Line 1555 SECTION III. SYNTAX REFERENCE	Line 1910 SECTION III. SYNTAX REFERENCE
As usual, you must explicitly write one of the recognized math	As usual, you must explicitly write one of the recognized math
spaces to put extra visible space in your rendered expressions. </p>	spaces to put extra visible space in your rendered expressions. </p>

<p> MimeTeX recognizes math spaces <b>\, \: \;</b> as well as	<p> MimeTeX recognizes math spaces <b>\/ \, \: \;</b>
<b>\/</b> and <b>\quad</b> and <b>\qquad</b> . You may also	as well as <b>\quad</b> and <b>\qquad</b> ,
write <b>\hspace{10}</b> to insert a 10-pixel (or any other number)	and also a backslashed blank
space, scaled by any preceding <a href="#unitlength">\unitlength</a>,	<img src="../cgi-bin/mimetex.cgi?1$\backsl\raise{-5}{\rotate{-90}]}"
as illustrated just above. There are no negative spaces. </p>	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>
	&nbsp 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	<p> Although some browsers occasionally misinterpret typed blank spaces
inside html query_string's, mimeTeX also recognizes escaped blanks	inside html query_string's, mimeTeX also recognizes escaped blanks
<img src="../cgi-bin/mimetex.cgi?\small\backsl\raise{-5}{\rotate{-90}]}"	<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	alt="" border=0 align=middle> (a <b>\</b> followed by a blank) as math
spaces, just in case you can safely use them. </p>	spaces, just in case you can safely use them. </p>
	-->

<p> MimeTeX also supports <b>\hfill{<i>textwidth</i>}</b>, where	<p> MimeTeX also supports <b>\hfill{<i>textwidth</i>}</b>, where
<b><i>textwidth</i></b> is roughly equivalent to LaTeX's	<b><i>textwidth</i></b> is roughly equivalent to LaTeX's
Line 1574 SECTION III. SYNTAX REFERENCE	Line 1958 SECTION III. SYNTAX REFERENCE
expression will span. However, if <b>\hfill{ }</b> appears	expression will span. However, if <b>\hfill{ }</b> appears
within a <b>{ }</b>-enclosed subexpression, then it applies	within a <b>{ }</b>-enclosed subexpression, then it applies
only to that subexpression. For example, </p> <center>	only to that subexpression. For example, </p> <center>
<b>{abc \hfill{50} def} \hfill{100} ghi</b>	<b>{abc \hfill{75} def} \hfill{150} ghi</b>
produces	produces
<a href="#preview"><img id="mathspace1" onclick="eqntext('mathspace1')"	<a href="#preview"><img id="mathspace1" onclick="eqntext('mathspace1')"
src="../cgi-bin/mimetex.cgi?\large{abc\hfill{50}def}\hfill{100}ghi"	src="../cgi-bin/mimetex.cgi?\large{abc\hfill{75}def}\hfill{150}ghi"
alt="" border=0 align=middle></a> </center> <p class="continue">	alt="" border=0 align=middle></a> </center> <p class="continue">
The first/inner <b>\hfill{50}</b> inserts exactly enough whitespace so	The first/inner <b>\hfill{75}</b> inserts exactly enough whitespace so
that subexpression "<b><i>abc  def</i></b>" spans 50 pixels.	that subexpression "<b><i>abc  def</i></b>" spans 75 pixels.
Then the second/outer <b>\hfill{100}</b> inserts exactly enough	Then the second/outer <b>\hfill{150}</b> inserts exactly enough
whitespace so that the entire expression spans 100 pixels.	whitespace so that the entire expression spans 150 pixels.
Without explicit <b>{ }</b>-nesting, mimeTeX evaluates expressions	Without explicit <b>{ }</b>-nesting, mimeTeX evaluates expressions
left-to-right (sinistrally), e.g., <b>...\hfill{100}...\hfill{50}...</b>	left-to-right (sinistrally), e.g., <b>...\hfill{150}...\hfill{75}...</b>
is exactly equivalent to <b>...\hfill{100}{...\hfill{50}...}</b>.	is exactly equivalent to <b>...\hfill{150}{...\hfill{75}...}</b>.
Notice that, this time, the second/right <b><i>textwidth</i></b>	Notice that, this time, the second/right <b><i>textwidth</i></b>
argument is necessarily smaller than the first/left. </p>	argument is necessarily smaller than the first/left. </p>

Line 1675 and some other characters<font size=5>..	Line 2059 and some other characters<font size=5>..
defined by the mimeTeX preprocessor, function <b>mimeprep( )</b>	defined by the mimeTeX preprocessor, function <b>mimeprep( )</b>
in <b>mimetex.c</b>     Generally speaking, I've tried to	in <b>mimetex.c</b>     Generally speaking, I've tried to
encode the cmr10, cmmi10, cmmib10, cmsy10, cmex10, bbold10, rsfs10,	encode the cmr10, cmmi10, cmmib10, cmsy10, cmex10, bbold10, rsfs10,
and stmary10 families with "names", e.g., <b>\alpha \beta	stmary10 and wncyr10 families with "names", e.g., <b>\alpha \beta
\forall \sqcup</b>, etc, identical to your LaTeX expectations.	\forall \sqcup</b>, etc, identical to your LaTeX expectations.
For example, the calligraphic symbols in cmsy10 are accessed by	For example, the calligraphic symbols in cmsy10 are accessed by
writing <b>\mathcal{A} \mathcal{B} \mathcal{XYZ}</b>. Similarly,	writing <b>\mathcal{A} \mathcal{B} \mathcal{XYZ}</b>. Similarly,
write <b>\mathbf{A}</b> for the cmmib fonts, write <b>\mathscr{A}</b>	write <b>\mathbf{A}</b> for the cmmib fonts, write <b>\mathscr{A}</b>
for rsfs10, and write <b>\mathbb{R}</b> for bbold10.	for rsfs10, write <b>\mathbb{R}</b> for bbold10, and write
And see stmaryrd.dvi or stmaryrd.sty, supplied with most LaTeX	<b>{\cyr Khrushchev}</b> or <b>\cyr{Khrushchev}</b> to see
distributions, for the names of the stmary10 symbols. </p>	<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	<!-- But there are various additions and omissions and exceptions
vis-a-vis LaTeX. For example, </p>	vis-a-vis LaTeX. For example, </p>
<ul>	<ul>
Line 1706 and some other characters<font size=5>..	Line 2096 and some other characters<font size=5>..
<b>&quot;</b>, <b>&amp;</b>, etc. Some web tools apparently	<b>&quot;</b>, <b>&amp;</b>, etc. Some web tools apparently
translate characters like, e.g., <b>></b> to <b>&gt;</b>,	translate characters like, e.g., <b>></b> to <b>&gt;</b>,
even inside quoted query_string's, so mimeTeX's preprocessor	even inside quoted query_string's, so mimeTeX's preprocessor
translates them back to LaTeX symbols for you. </p>	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>

<h3> <a name="sizes">Font Sizes<font size=5>...</font></a> </h3>	<h3> <a name="sizes">Font Sizes<font size=5>...</font></a> </h3>

Line 1953 and some other characters<font size=5>..	Line 2348 and some other characters<font size=5>..
<b>anything at all</b> in italic (font family cmmi10).	<b>anything at all</b> in italic (font family cmmi10).
All four forms respect spaces between words, except that the	All four forms respect spaces between words, except that the
first/required space after <b>{\rm etc}</b> and	first/required space after <b>{\rm etc}</b> and
<b>{\it etc}</b> is still ignored. For example, </p> <center>	<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	<b>anything at all</b>   just produces
<a href="#preview"><img id="textboxes1" onclick="eqntext('textboxes1')"	<a href="#preview"><img id="textboxes1" onclick="eqntext('textboxes1')"
src="../cgi-bin/mimetex.cgi?\normalsize anything at all"	src="../cgi-bin/mimetex.cgi?\normalsize anything at all"
Line 1967 and some other characters<font size=5>..	Line 2364 and some other characters<font size=5>..
src="../cgi-bin/mimetex.cgi?\normalsize\textit{anything at all}"	src="../cgi-bin/mimetex.cgi?\normalsize\textit{anything at all}"
alt="" border=0 align=middle></a>     instead. </center>	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>	<h2> <a name="delimiters"> (IIIc) Delimiters   </a> </h2>

Line 2165 and some other characters<font size=5>..	Line 2574 and some other characters<font size=5>..
<b>[ ]</b> and <b>\{ \}</b>, limits are default-rendered	<b>[ ]</b> and <b>\{ \}</b>, limits are default-rendered
\displaystyle, which is why <b>\right\|\nolimits_a^b</b> was required. -->	\displaystyle, which is why <b>\right\|\nolimits_a^b</b> was required. -->
You can also write <b>\left\sum</b>, <b>\left\prod</b>,	You can also write <b>\left\sum</b>, <b>\left\prod</b>,
<b>\left\cup</b>, etc, for many of the symbols in CMEX10.	<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	And any symbol that works with <b>\left</b> will also work
with <b>\right</b> . <!-- But mimeTeX abbreviations like	with <b>\right</b> . <!-- But mimeTeX abbreviations like
<b>$...$</b>   for   <b>\left(...\right)</b>	<b>$...$</b>   for   <b>\left(...\right)</b>
Line 2291 Raise and rotate, Compose, Abb	Line 2700 Raise and rotate, Compose, Abb
displays super/subscripts in the usual way. </p>	displays super/subscripts in the usual way. </p>

<h3> <a name="raiserotate">\raisebox{ }{ } and	<h3> <a name="raiserotate">\raisebox{ }{ } and
\rotatebox{ }{ }<font size=5>...</font></a> </h3>	\rotatebox{ }{ } and \reflectbox[ ]{ }
	<font size=5>...</font></a> </h3>

<p> The <b>\raisebox{<i>height</i>}{<i>expression</i>}</b>	<p> The <b>\raisebox{<i>height</i>}{<i>expression</i>}</b>
and <b>\rotatebox{<i>angle</i>}{<i>expression</i>}</b>	and <b>\rotatebox{<i>angle</i>}{<i>expression</i>}</b>
commands help you fine-tune and manipulate mimeTeX renderings.	and <b>\reflectbox[<i>axis</i>]{<i>expression</i>}</b>
The <b><i>height</i></b> argument is number of pixels, scaled by	commands help you fine-tune and manipulate mimeTeX renderings: </p>
<a href="#unitlength">\unitlength</a>, and can be positive	<ul>
or negative. The <b><i>angle</i></b> argument is number of degrees,	<li> <b>\raisebox</b>'s <b><i>height</i></b> argument is number
and can also be positive (for clockwise) or negative, but must be a	of pixels, scaled by <a href="#unitlength">\unitlength</a>,
multiple of 90. Finally, the <b><i>expression</i></b> can be any	and can be positive or negative. </li>
valid LaTeX/mimeTeX expression. For example, mimeTeX's preprocessor	<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	defines the LaTeX <b>?`</b> symbol, an upside-down question
mark, like </p> <center>	mark, like </p> <center>
<b>abc\raisebox{-2}{\rotatebox{180}?}def</b>   produces	<b>abc\raisebox{-2}{\rotatebox{180}?}def</b>   produces
Line 2309 Raise and rotate, Compose, Abb	Line 2729 Raise and rotate, Compose, Abb
src="../cgi-bin/mimetex.cgi?	src="../cgi-bin/mimetex.cgi?
\large\rm abc\raiseb{-2}{\rotateb{180}{\LARGE?}}def"	\large\rm abc\raiseb{-2}{\rotateb{180}{\LARGE?}}def"
alt="" border=0 align=middle></a> </center>	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=middle></a> </center>

<h3> <a name="compose">\compose{ }{ }<font size=5>...</font></a></h3>	<h3> <a name="compose">\compose{ }{ }<font size=5>...</font></a></h3>

Line 2325 Raise and rotate, Compose, Abb	Line 2753 Raise and rotate, Compose, Abb
alt="" border=0 align=middle></a> </center>	alt="" border=0 align=middle></a> </center>

<p> Separately or in some judicious combination, <b>\compose</b> and	<p> Separately or in some judicious combination, <b>\compose</b> and
<b>\raisebox</b> and <b>\rotatebox</b> should help you construct	<b>\raisebox</b> and <b>\rotatebox</b> and <b>\reflectbox</b>
special symbols not "natively" available with mimeTeX's limited	should help you construct special symbols not "natively" available
set of built-in font families. This can be especially useful	with mimeTeX's limited set of built-in font families.
in conjunction with the <b>-DNEWCOMMANDS</b> compile-time	This can be especially useful in conjunction with the
	<b>-DNEWCOMMANDS</b> compile-time
<a href="#options">option</a> discussed above. </p>	<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="abbreviations">Abbreviations<font size=5>...</font></a> </h3>	<h3> <a name="abbreviations">Abbreviations<font size=5>...</font></a> </h3>

<p class="continue">	<p class="continue">
Line 2498 Raise and rotate, Compose, Abb	Line 2954 Raise and rotate, Compose, Abb
<tr> <td align="left"> <b>\begin{align}</b> </td>	<tr> <td align="left"> <b>\begin{align}</b> </td>
<td align="center"> <b>a&=b \\ c&=d \\ etc</b> </td>	<td align="center"> <b>a&=b \\ c&=d \\ etc</b> </td>
<td align="left"> <b>\end{align}</b> </td> </tr>	<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>	<tr> <td align="left"> <b>\begin{gather}</b> </td>
<td align="center"> <b>a \\ b \\ etc</b> </td>	<td align="center"> <b>a \\ b \\ etc</b> </td>
<td align="left"> <b>\end{gather}</b> </td> </tr>	<td align="left"> <b>\end{gather}</b> </td> </tr>
Line 2756 Raise and rotate, Compose, Abb	Line 3215 Raise and rotate, Compose, Abb
in LaTeX, and won't be discussed further. Short discussions	in LaTeX, and won't be discussed further. Short discussions
of some other commands follow. </p>	of some other commands follow. </p>

<h3> <a name="stackrel">\stackrel{ }{ } and	<h3> <a name="stackrel">\overset{ }{ } or
\relstack{ }{ }<font size=5>...</font></a> </h3>	\stackrel{ }{ }   and
	\underset{ }{ } or \relstack{ }{ }
	<font size=5>...</font></a> </h3>

<p class="continue">	<p class="continue">
<b>\stackrel{ }{ }</b> behaves as usual in LaTeX,	<b>\stackrel{ }{ }</b> behaves as usual in LaTeX,
rendering its first argument one font size smaller and centered above	rendering its first argument one font size smaller and centered above
its second. And the amsmath-style <b>\overset{ }{ }</b> is	its second. And the amsmath-style <b>\overset{ }{ }</b> is
identical. For example, </p> <center>	identical. For example, </p> <center>
<b>"\vec x\stackrel{\rm def}=(x_1\ldots x_n)"</b>	<b>"\vec x\overset{\rm def}=(x_1\ldots x_n)"</b>
produces	produces
<a href="#preview"><img id="stackrel1" onclick="eqntext('stackrel1')"	<a href="#preview"><img id="stackrel1" onclick="eqntext('stackrel1')"
src="../cgi-bin/mimetex.cgi?	src="../cgi-bin/mimetex.cgi?
\Large\vec x\,\stackrel{\small\rm def}=	\Large\vec x\,\overset{\small\rm def}=
\,(x_1\ldots x_n)" alt="" border=0 align=middle></a> </center>	\,(x_1\ldots x_n)" alt="" border=0 align=middle></a> </center>

<p> "Conversely" to <b>\stackrel{ }{ }</b>, mimeTeX provides	<p> "Conversely" to <b>\stackrel{ }{ }</b>, mimeTeX provides
Line 2778 Raise and rotate, Compose, Abb	Line 3239 Raise and rotate, Compose, Abb
first argument one font size smaller and centered below its second.	first argument one font size smaller and centered below its second.
For example, the <b>\log</b> function name doesn't treat	For example, the <b>\log</b> function name doesn't treat
limits like <b>\lim_</b>, but you can write, for example, </p> <center>	limits like <b>\lim_</b>, but you can write, for example, </p> <center>
<b>"\relstack{\log}{\rm base 2}32=5"</b>   to render	<b>"\underset{\rm base 2}\log32=5"</b>   to render
<a href="#preview"><img id="stackrel2" onclick="eqntext('stackrel2')"	<a href="#preview"><img id="stackrel2" onclick="eqntext('stackrel2')"
src="../cgi-bin/mimetex.cgi?	src="../cgi-bin/mimetex.cgi?
\Large\relstack\log{\small\rm base 2}32\,=\,5"	\Large\underset{\small\rm base 2}\log32\,=\,5"
alt="" border=0 align=middle></a> </center>	alt="" border=0 align=middle></a> </center>

<p> MimeTeX's <b>\limits</b> provides an easier but non-standard	<p> MimeTeX's <b>\limits</b> provides an easier but non-standard
Line 2930 Raise and rotate, Compose, Abb	Line 3391 Raise and rotate, Compose, Abb
<p> Somewhat more detailed log information can be accumulated in	<p> Somewhat more detailed log information can be accumulated in
the optional <b><i>logfile</i></b>. If you provide that	the optional <b><i>logfile</i></b>. If you provide that
filename, mimeTeX writes a line to it of the form	filename, mimeTeX writes a line to it of the form
<b>2004-09-20:12:59:33pm <<i>tag</i>>=99 192.168.1.1 <i>http_referer</i></b>	<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,	containing a timestamp, the counter tag and its current value,
and the user's IP address and http_referer page if they're	and the user's IP address and http_referer page if they're
available. </p>	available. </p>
Line 2987 SECTION IV. APPENDICES	Line 3448 SECTION IV. APPENDICES
bitmap information it needs to render one particular font	bitmap information it needs to render one particular font
family at one particular size. The file <b>texfonts.h</b>	family at one particular size. The file <b>texfonts.h</b>
supplied with your mimeTeX distribution collects the output	supplied with your mimeTeX distribution collects the output
from 56 such (sequences of) runs, representing seven font	from 72 such (sequences of) runs, representing nine font
families at eight sizes each. </p>	families at eight sizes each. </p>

<p> This collection of information in   texfonts.h   is	<p> This collection of information in   texfonts.h   is
Line 3034 SECTION IV. APPENDICES	Line 3495 SECTION IV. APPENDICES
Then pull all the output files into one big <b>texfonts.h</b> file	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>	(or write a small texfonts.h which just #include's them all). </p>

<p> For your information, the 64 sequences of runs represented	<p> For your information, the 72 sequences of runs represented
in the texfonts.h file supplied with your mimeTeX distribution	in the texfonts.h file supplied with your mimeTeX distribution
correspond to the following eight inital metafont runs for cmr10 </p>	correspond to the following eight inital metafont runs for cmr10 </p>
<!--	<!--
Line 3053 SECTION IV. APPENDICES	Line 3514 SECTION IV. APPENDICES
6 (.210gf) mf '\mode=preview; mag=magstep(-13.804885); 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>	7 (.250gf) mf '\mode=preview; mag=magstep(-12.848589); input cmr10'</pre>
<p class="continue">	<p class="continue">
Then ditto for the seven other font families cmmi10, cmmib10, cmsy10,	Then ditto for the eight other font families cmmi10, cmmib10, cmsy10,
cmex10, bbold10, rsfs10, stmary10. And to generate other	cmex10, bbold10, rsfs10, stmary10 and wncyr10. And to generate other
<b>.</b><i>dpi</i><b>gf</b> font sizes, calculate magsteps	<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}"	<img src="../cgi-bin/mimetex.cgi?\normalsize\frac{\log(dpi/2602)}{\log1.2}"
alt="" align=middle border=0>.   All the subsequent gftype and	alt="" align=middle border=0>.   All the subsequent gftype and
Line 3074 SECTION IV. APPENDICES	Line 3535 SECTION IV. APPENDICES
{ RSFS10,{ rsfs83, rsfs100, rsfs118, rsfs131, rsfs160, rsfs180, rsfs210, rsfs250}},	{ RSFS10,{ rsfs83, rsfs100, rsfs118, rsfs131, rsfs160, rsfs180, rsfs210, rsfs250}},
{ BBOLD10,{ bbold83, bbold100, bbold118, bbold131, bbold160, bbold180, bbold210, bbold250}},	{ BBOLD10,{ bbold83, bbold100, bbold118, bbold131, bbold160, bbold180, bbold210, bbold250}},
{STMARY10,{stmary83,stmary100,stmary118,stmary131,stmary160,stmary180,stmary210,stmary250}},	{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}}	{ -999,{ NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL}}
} ; /* --- end-of-fonttable[] --- */</pre><p class="continue">	} ; /* --- end-of-fonttable[] --- */</pre><p class="continue">
Note the 64 names <b>cmr83...stmary250</b> in the table. These must	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>	correspond to (or must be changed to) the names following the <b>-n</b>
switch you specified for your   gfuntype   runs. </p>	switch you specified for your   gfuntype   runs. </p>

Line 3115 SECTION IV. APPENDICES	Line 3577 SECTION IV. APPENDICES
<p> Finally, the Unix/Linux bash shell script	<p> Finally, the Unix/Linux bash shell script
<a href="http://www.forkosh.com/texfonts.sh"	<a href="http://www.forkosh.com/texfonts.sh"
target="_top">texfonts.sh</a> generates file   texfonts.h	target="_top">texfonts.sh</a> generates file   texfonts.h
containing the information for all 64 mimeTeX fonts discussed above	containing the information for all 72 mimeTeX fonts discussed above
(and, optionally, an extra 1200dpi cmr font used to test mimeTeX's	(and, optionally, an extra 1200dpi cmr font used to test mimeTeX's
supersampling algorithm). You'll need to understand and edit this	supersampling algorithm). You'll need to understand and edit this
script to use it meaningfully. But it helps automate mimeTeX's font	script to use it meaningfully. But it helps automate mimeTeX's font
Line 3148 function   </a> </h2>	Line 3610 function   </a> </h2>

<p> Cut-and-paste the above sample code from this file to, say,	<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>	mimedemo.c (and fix the brackets around stdio.h). Then compile <br>
cc mimedemo.c mimetex.c -lm -o mimedemo <br>
	cc -DTEXFONTS mimedemo.c mimetex.c -lm -o mimedemo <br>
and run it from your unix shell command line like <br>	and run it from your unix shell command line like <br>
./mimedemo   "x^2+y^2" </p>	./mimedemo   "x^2+y^2" </p>

Line 3203 function   </a> </h2>	Line 3666 function   </a> </h2>
}</pre>	}</pre>

<p> Cut-and-paste as before, compile like <br>	<p> Cut-and-paste as before, compile like <br>
cc mimedemo.c mimetex.c gifsave.c
-lm -o mimedemo <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	and run it like the first example, but this time you may want to redirect
stdout <br>	stdout <br>
./mimedemo   "x^2+y^2"	./mimedemo   "x^2+y^2"
Line 3487 Footer across bottom of page	Line 3950 Footer across bottom of page
<hr size=4>	<hr size=4>
<table> <tr>	<table> <tr>
<td> <font size=3 color="maroon"> <b>	<td> <font size=3 color="maroon"> <b>
<nobr>Copyright <font size=5>©</font> 2002-2005,	<nobr>Copyright <font size=5>©</font> 2002-2008,
<a href="http://www.forkosh.com">John Forkosh Associates, Inc.</a>	<a href="http://www.forkosh.com">John Forkosh Associates, Inc.</a>
</nobr><br>	</nobr><br>
email: <a href="mailto:john@forkosh.com">john@forkosh.com</a>	email: <a href="mailto:john@forkosh.com">john@forkosh.com</a>

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