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authorKarl Berry <karl@freefriends.org>2011-02-05 00:20:35 +0000
committerKarl Berry <karl@freefriends.org>2011-02-05 00:20:35 +0000
commit1a813fddccf1088251a3bf66876370618b724a8a (patch)
tree3caaac2202bc3a7c791b38f1c119d065ebea48d6 /Master/texmf-dist/doc/latex/isomath
parent4289e4647ab448dbce672649f32f107dda45c4aa (diff)
isomath 0.5 (2feb11)
git-svn-id: svn://tug.org/texlive/trunk@21296 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/isomath')
-rw-r--r--Master/texmf-dist/doc/latex/isomath/README.html322
-rw-r--r--Master/texmf-dist/doc/latex/isomath/README.txt26
-rw-r--r--Master/texmf-dist/doc/latex/isomath/isomath-test.pdfbin141853 -> 351869 bytes
-rw-r--r--Master/texmf-dist/doc/latex/isomath/isomath-test.tex190
-rw-r--r--Master/texmf-dist/doc/latex/isomath/isomath.html2478
-rw-r--r--Master/texmf-dist/doc/latex/isomath/isomath.pdfbin154436 -> 512685 bytes
-rw-r--r--Master/texmf-dist/doc/latex/isomath/isomath.sty.html670
-rw-r--r--Master/texmf-dist/doc/latex/isomath/isomath.sty.txt212
-rw-r--r--Master/texmf-dist/doc/latex/isomath/isomath.txt1110
9 files changed, 4043 insertions, 965 deletions
diff --git a/Master/texmf-dist/doc/latex/isomath/README.html b/Master/texmf-dist/doc/latex/isomath/README.html
index 1fc2b4360b2..35e0cf95488 100644
--- a/Master/texmf-dist/doc/latex/isomath/README.html
+++ b/Master/texmf-dist/doc/latex/isomath/README.html
@@ -1,17 +1,17 @@
<?xml version="1.0" encoding="utf-8" ?>
-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
-<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="generator" content="Docutils 0.8: http://docutils.sourceforge.net/" />
<title>isomath README</title>
-<meta name="date" content="2010-08-23" />
-<meta name="copyright" content="© 2008, 2010 Günter Milde &lt;milde&#64;users.berlios.de&gt;" />
+<meta name="date" content="2011-02-01" />
+<meta name="copyright" content="© 2008, 2011 Günter Milde &lt;milde&#64;users.berlios.de&gt;" />
<style type="text/css">
/*
:Author: David Goodger (goodger@python.org)
-:Id: $Id: html4css1.css 6387 2010-08-13 12:23:41Z milde $
+:Id: $Id: html4css1.css 6511 2011-01-03 14:49:11Z milde $
:Copyright: This stylesheet has been placed in the public domain.
Default cascading style sheet for the HTML output of Docutils.
@@ -191,7 +191,7 @@ img.align-center, .figure.align-center, object.align-center {
/* reset inner alignment in figures */
div.align-right {
- text-align: left }
+ text-align: inherit }
/* div.align-center * { */
/* text-align: left } */
@@ -337,13 +337,15 @@ body {
line-height:1.3;
/* http://ilovetypography.com/2008/02/28/a-guide-to-web-typography/
recommends "line-spacing that’s at least 140% of your text size" */
+ counter-reset: table;
+ /* counter-reset: figure; */
}
/* avoid long lines --> better reading */
/* OTOH: lines should not be too short because of missing hyphenation, */
div.document {
- max-width: 45em;
- margin: 0 auto;
+ max-width: 45em;
+ margin: auto;
}
/* separate items except for compact lists */
@@ -377,8 +379,7 @@ div.sidebar {
/* Special definition lists */
/* ======================== */
-/* start definition term on the same line as the label */
-
+/* bold definition term on the same line as the label */
dl.field-list > dt, dl.option-list > dt, dl.docinfo > dt,
dl.footnote > dt, dl.citation > dt, dl.description > dt {
clear: left;
@@ -386,31 +387,27 @@ dl.footnote > dt, dl.citation > dt, dl.description > dt {
margin: 0;
padding: 0;
padding-right: 0.5em;
-/* background: yellow; */
-}
-
-/* Definition list with the layout of a LaTeX `description` list */
-/* (bold label, continue on same line) */
-dl.description > dt {
font-weight: bold;
}
+/* except for these */
+dl.option-list > dt, dl.footnote > dt {
+ font-weight: normal;
+}
+
+
/* Field Lists */
/* ----------- */
-/* field names: bold, followed by a colon */
-dl.field-list > dt, dl.docinfo > dt {
- font-weight: bold;
-}
+/* field names followed by a colon */
dl.field-list > dt:after, dl.docinfo > dt:after {
content: ":";
}
/* Offset for field content (corresponds to the --field-name-limit option) */
dl.field-list > dd {
- margin-left: 8.5em;
+ margin-left: 9em; /* ca. 14 chars in the test examples */
padding-left: 0.5em;
-/* background: yellow; */
}
/* start field-body on a new line after long field names */
@@ -421,8 +418,8 @@ dl.field-list > dd p {
}
dl.field-list > dd > p:first-child,
-dl.field-list > dd > ol:first-child,
-dl.field-list > dd > ul:first-child,
+/* dl.field-list > dd > ol:first-child, */
+/* dl.field-list > dd > ul:first-child, */
dl.field-list > dd > dl:first-child {
display: inline-block;
}
@@ -453,16 +450,12 @@ dl.field-list.fix-labelwidth > dd:after {
/* docinfo */
-dl.docinfo {
- margin: 2em 2em; /* setting from html4css1.css */
- padding-left: 0;
-}
-
dl.docinfo > dd {
margin-left: 8em;
/* margin-bottom: 0.5em; */
}
+
/* option list */
dl.option-list {
@@ -495,8 +488,15 @@ dl.footnote {
/* border-color: black; */
}
+/* paragraph on same line as backrefs */
+dd > em {
+/* background: green; */
+ float: left;
+ margin-right: 1ex
+}
+
-/*
+/*
Ordered List (Enumeration)
--------------------------
@@ -513,7 +513,13 @@ ol {
/* Set the negative indent of the list label as feature of the list item */
ol > li {
text-indent: -40px; /* Mozillas default indent */
- margin-bottom: 1em;
+}
+/* reset for child elements */
+ol > li > * {
+ text-indent: 0px;
+ text-indent: 0;
+ margin-top: 0;
+ /* background: lightgreen; */
}
/* Label */
@@ -531,16 +537,6 @@ ol > li:before {
/* background: yellow; */
}
-/* objects nested in an ol */
-ol > li > p,
-ol > li > ol,
-ol > li > ul,
-ol > li > dl {
- text-indent: 0;
- margin-top: 0;
- /* background: lightgreen; */
-}
-
/* The list item's first line starts next to the label, without indent */
ol > li > p:first-child,
ol > li > ol:first-child,
@@ -574,96 +570,124 @@ ol.nested > li:before, ol.nested ol > li:before {
/* smaller font for super- and subscripts */
/* sub, sup {font-size: 70%;} */ /* Mozilla default is `smaller` */
-/* unordered lists */
-/* --------------- */
-
-/* drop bullets from Table of Contents */
-/* div.topic.contents ul { */
-/* list-style: none; */
-/* } */
/* Tables */
-/* ------ */
+/* ====== */
-/* borders for "normal" tables */
-table.table {
+/* margins and borders for "normal" tables */
+table {
+ margin-top: 0.5em ;
+ margin-bottom: 0.5em;
border-style: outset;
border-width: thin;
+ /* border-collapse: collapse; */
+}
+blockquote > table {
+ margin-top: 0em ;
+ margin-bottom: 0em;
}
-table.table td, table.table th {
+td, th {
border-style: inset;
border-width: thin;
+ /* text-align: left; */
+ padding: 0 1ex;
+}
+
+td > p:first-child, th > p:first-child {
+ margin-top: 0;
+}
+td > p, th > p {
+ margin-bottom: 0;
}
/* no borders for "borderless" tables */
-table.table.borderless, table.table.borderless * {
+table.borderless, table.borderless * {
border-style: none;
}
-/* numbered tables and figures*/
-body {
- counter-reset: table;
-/* counter-reset: figure; */
+/* "booktabs" style (no vertical lines) */
+table.booktabs {
+ border: 0;
+ border-top: 2px solid;
+ border-bottom: 2px solid;
+ border-collapse: collapse;
}
-table.numbered > caption:before {
- counter-increment: table;
- content: "Table " counter(table) ": ";
- font-weight: bold;
+table.booktabs * {
+ border: 0;
}
-
+table.booktabs th {
+ border-bottom: thin solid;
+}
+
table > caption {
text-align: left;
- padding: 2em 0 1em 0;
+/* padding: 2em 0 1em 0; */
}
+/* numbered tables*/
+table.numbered > caption:before {
+ counter-increment: table; /* defined/re-set in body */
+ content: "Table " counter(table) ": ";
+ font-weight: bold;
+}
-/* whitespace and line-wrapping in inline literals
- -----------------------------------------------
+/* literal text
+ ------------
*/
+/* whitespace and wrapping in inline literals */
/* possible values: normal, nowrap, pre, pre-wrap, pre-line */
-tt.docutils.literal {
+tt.literal {
white-space: pre-wrap;
}
+/* /* compensate for initial line-break (which is literal with XHTML 1.1) */ */
+/* pre.literal-block, pre.doctest-block { */
+/* margin-top: 0em ; */
+/* } */
+
+/* Table of Contents */
+
+/* don't indent like a topic */
+div.topic.contents {
+ margin: 0;
+}
+/* div.topic.contents ul { */
+/* list-style: none; */
+/* } */
+
+div.topic.contents a {
+ text-decoration: none; /* no underline for links */
+}
+
+/* section numbers */
+
+span.sectnum {
+ padding-right: 1ex;
+}
+
+/* admonitions */
+
+/* no padding for top and bottom */
+div.admonition, div.attention, div.caution, div.danger, div.error,
+div.hint, div.important, div.note, div.tip, div.warning {
+ padding: 0px 1em }
+
</style>
<style type="text/css">
-/*
-:Author: Guenter Milde
+/* Stylesheet for isomath documentation
:Copyright: 2008 G. Milde
This stylesheet is released under the GPL v. 2
-
-Stylesheet for the Math Fonts Overview "Matheschriften"
*/
-/* deutsche Tabellenbeschriftung */
-/* table.numbered > caption:before { */
-/* content: "Tabelle " counter(table) ": "; */
-/* } */
-
-/* booktabs Style */
-table.booktabs, table.booktabs td, table.booktabs th {
- border: 0 }
-table.booktabs {
- border-top: 2px solid;
- border-bottom: 2px solid;
-}
-table.booktabs th {
- border-bottom: 1px solid;
-}
-
-dl.docutils dt {
- font-weight: bold;
-}
+dl.docutils dt { font-weight: bold; }
/* docinfo */
-dl.docinfo > dt {
- display: none;
-}
+dl.docinfo > dt { display: none; }
dl.docinfo > dd {
margin-left: 0;
padding: 0 5%;
@@ -673,7 +697,6 @@ dl.docinfo > dt.author + dd {
text-align: center;
padding-bottom: 1em;
}
-
dt.date {
display: none;
}
@@ -692,17 +715,37 @@ a.reference.internal {
color: darkblue;
}
-/* +/- Listen mit field-list */
-dl.field-list > dt {
- font-family: monospace;
+a.reference.external {
+ text-decoration: underline;
+}
+
+/* a.reference.external:after { */
+/* content: "⎘"; */
+/* font-size: x-small; */
+/* vertical-align: super; */
+/* } */
+
+dl.footnote > dd {
+ margin-left: 1.2em;
}
-dl.field-list > dt:after {
- content: ""; /* drop trailing ':' */
+dl.footnote > dt {
+ font-size: small;
+ vertical-align: super;
}
-/* Offset for field content (corresponds to the --field-name-limit option) */
-dl.field-list > dd {
- margin-left: 1em;
- padding-left: 0.5em;
+
+a.footnote-reference > sup {
+ font-size: small;
+ vertical-align: super;
+ }
+
+td, th {
+ padding-bottom: 0.1ex;
+ padding-top: 0.1ex;
+}
+
+/* no borders for "borderless" tables */
+table.booktabs.borderless, table.booktabs.borderless * {
+ border-style: none;
}
</style>
@@ -713,89 +756,88 @@ dl.field-list > dd {
<dl class="docinfo simple">
<dt class="date">Date</dt>
-<dd>2010-08-23</dd>
+<dd class="date">2011-02-01</dd>
<dt class="copyright">Copyright</dt>
-<dd>© 2008, 2010 Günter Milde &lt;<a class="reference external" href="mailto:milde&#64;users.berlios.de">milde&#64;users.berlios.de</a>&gt;</dd>
+<dd class="copyright">© 2008, 2011 Günter Milde &lt;<a class="reference external" href="mailto:milde&#64;users.berlios.de">milde&#64;users.berlios.de</a>&gt;</dd>
<dt>Licence</dt>
-<dd>This work may be distributed and/or modified under the
+<dd><p>This work may be distributed and/or modified under the
conditions of the <a class="reference external" href="http://www.latex-project.org/lppl.txt">LaTeX Project Public License</a>, either
-version&nbsp;1.3 of this license or (at your option) any later version.</dd>
+version&nbsp;1.3 of this license or (at your option) any later version.</p>
+</dd>
</dl>
<div class="abstract topic">
<p class="topic-title first">Abstract</p>
-<p>The isomath package enables formatting Greek and Latin
+<p>The <cite>isomath</cite> package enables formatting Greek and Latin
letters as symbols for vectors, matrices, and tensors
in the typefaces recommended for scientific papers
-by the International Standard ISO 31.</p>
+by the International Standard ISO 80000-2.</p>
</div>
<div class="section" id="files">
<h1>Files</h1>
<table class="booktabs numbered align-left">
<colgroup>
-<col width="38%" />
-<col width="62%" />
+<col width="32%" />
+<col width="68%" />
</colgroup>
<tbody valign="top">
-<tr><td>README.txt</td>
-<td>Requirements, Installation, Usage</td>
+<tr><td><p>README.txt</p></td>
+<td><p>Requirements, Installation, Usage</p></td>
</tr>
-<tr><td>README.html</td>
-<td>browser friendly README</td>
+<tr><td><p>README.html</p></td>
+<td><p>browser friendly README</p></td>
</tr>
-<tr><td>isomath.sty</td>
-<td>literate source (LaTeX package)</td>
+<tr><td><p>isomath.sty</p></td>
+<td><p>literate source (the actual LaTeX package)</p></td>
</tr>
-<tr><td>isomath.sty.txt</td>
-<td>literate source (text version)</td>
+<tr><td><p>isomath.sty.txt</p></td>
+<td><p>literate source (text version)</p></td>
</tr>
-<tr><td>isomath.sty.html</td>
-<td>literate source (HTML)</td>
+<tr><td><p>isomath.sty.html</p></td>
+<td><p>literate source (HTML)</p></td>
</tr>
-<tr><td>isomath-doc.txt</td>
-<td>user documentation (source)</td>
+<tr><td><p>isomath.txt</p></td>
+<td><p>user documentation (source)</p></td>
</tr>
-<tr><td>isomath-doc.html</td>
-<td>user documentation (HTML)</td>
+<tr><td><p>isomath.html</p></td>
+<td><p>user documentation (HTML)</p></td>
</tr>
-<tr><td>isomath-doc.pdf</td>
-<td>user documentation (PDF)</td>
+<tr><td><p>isomath.pdf</p></td>
+<td><p>user documentation (PDF)</p></td>
</tr>
-<tr><td>isomath-test.tex</td>
-<td>Test example (source)</td>
+<tr><td><p>isomath-test.tex</p></td>
+<td><p>Test example (source)</p></td>
</tr>
-<tr><td>isomath-test.pdf</td>
-<td>Test example (PDF output)</td>
+<tr><td><p>isomath-test.pdf</p></td>
+<td><p>Test example (PDF output)</p></td>
</tr>
</tbody>
</table>
<p>The bidirectional text &lt;-&gt; code converter <a class="reference external" href="http://pylit.berlios.de">PyLit</a> can convert between
-<tt class="docutils literal">isomath.sty</tt> and <tt class="docutils literal">isomath.sty.txt</tt>.</p>
+<tt class="literal">isomath.sty</tt> and <tt class="literal">isomath.sty.txt</tt>.</p>
<p>The Python <a class="reference external" href="http://docutils.sourceforge.net/rst.html">Docutils</a> and pdflatex were used to generate the HTML and PDF
documentation from the <a class="reference external" href="http://docutils.sourceforge.net/rst.html">reStructuredText</a> sources.</p>
</div>
<div class="section" id="requirements">
<h1>Requirements</h1>
-<p>This package builds on and extends <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html">fixmath</a> by Walter Schmidt.
-It requires <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/kvoptions.html">kvoptions</a>.</p>
-<p>The <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/cmbright.html">cmbright</a> package is recommended for <em>sans-serif italic</em> and <em>sans-serif
+<p>This package builds on and extends <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a> by Walter Schmidt.
+It also requires <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kvoptions.html">kvoptions</a>.</p>
+<p>The <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/cmbright.html">cmbright</a> package is recommended for <em>sans-serif italic</em> and <em>sans-serif
bold italic</em> fonts matching with Computer Modern and derivatives.</p>
<p>All required packages are part of TeXLive and MikTeX.</p>
</div>
<div class="section" id="installation">
<h1>Installation</h1>
<ul>
-<li><p class="first">Unpack isomath.zip (preferabely in a <a class="reference external" href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=tds">TDS</a> documentation folder).</p>
-</li>
-<li><p class="first">Make sure LaTeX can find isomath.sty:</p>
-<p>Copy/Move/Link it to a suitable place in the <a class="reference external" href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=tds">TDS</a> and run <tt class="docutils literal">texhash</tt>
+<li><p>Unpack isomath.zip (preferably in a <a class="reference external" href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=tds">TDS</a> documentation folder).</p></li>
+<li><p>Make sure LaTeX can find isomath.sty:</p>
+<p>Copy/Move/Link it to a suitable place in the <a class="reference external" href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=tds">TDS</a> and run <tt class="literal">texhash</tt>
or place it in the current working directory (e.g. for testing).</p>
</li>
</ul>
</div>
<div class="section" id="usage">
<h1>Usage</h1>
-<pre class="literal-block">
-\usepackage{isomath}
+<pre class="literal-block">\usepackage{isomath}
</pre>
<p>Option description, more examples and usage hints are in the user
documentation.</p>
diff --git a/Master/texmf-dist/doc/latex/isomath/README.txt b/Master/texmf-dist/doc/latex/isomath/README.txt
index fd1231b6d9d..613161aac1d 100644
--- a/Master/texmf-dist/doc/latex/isomath/README.txt
+++ b/Master/texmf-dist/doc/latex/isomath/README.txt
@@ -1,17 +1,17 @@
isomath README
~~~~~~~~~~~~~~
-:Date: 2010-08-23
-:Copyright: © 2008, 2010 Günter Milde <milde@users.berlios.de>
+:Date: 2011-02-01
+:Copyright: © 2008, 2011 Günter Milde <milde@users.berlios.de>
:Licence: This work may be distributed and/or modified under the
conditions of the `LaTeX Project Public License`_, either
version 1.3 of this license or (at your option) any later version.
-:Abstract: The isomath package enables formatting Greek and Latin
+:Abstract: The `isomath` package enables formatting Greek and Latin
letters as symbols for vectors, matrices, and tensors
in the typefaces recommended for scientific papers
- by the International Standard ISO 31.
+ by the International Standard ISO 80000-2.
Files
=====
@@ -24,9 +24,9 @@ isomath.sty literate source (the actual LaTeX package)
isomath.sty.txt literate source (text version)
isomath.sty.html literate source (HTML)
-isomathtxt user documentation (source)
-isomathhtml user documentation (HTML)
-isomathpdf user documentation (PDF)
+isomath.txt user documentation (source)
+isomath.html user documentation (HTML)
+isomath.pdf user documentation (PDF)
isomath-test.tex Test example (source)
isomath-test.pdf Test example (PDF output)
@@ -53,7 +53,7 @@ All required packages are part of TeXLive and MikTeX.
Installation
============
-* Unpack isomath.zip (preferabely in a TDS_ documentation folder).
+* Unpack isomath.zip (preferably in a TDS_ documentation folder).
* Make sure LaTeX can find isomath.sty:
@@ -75,12 +75,12 @@ documentation.
==========
.. _LaTeX Project Public License: http://www.latex-project.org/lppl.txt
-.. _pylit: http://pylit.berlios.de
+.. _PyLit: http://pylit.berlios.de
.. _reStructuredText: http://docutils.sourceforge.net/rst.html
-.. _docutils: http://docutils.sourceforge.net/rst.html
+.. _Docutils: http://docutils.sourceforge.net/rst.html
-.. _cmbright: http://dante.ctan.org/CTAN/help/Catalogue/entries/cmbright.html
-.. _fixmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html
-.. _kvoptions: http://dante.ctan.org/CTAN/help/Catalogue/entries/kvoptions.html
+.. _cmbright: http://mirror.ctan.org/help/Catalogue/entries/cmbright.html
+.. _fixmath: http://mirror.ctan.org/help/Catalogue/entries/fixmath.html
+.. _kvoptions: http://mirror.ctan.org/help/Catalogue/entries/kvoptions.html
.. _TDS: http://www.tex.ac.uk/cgi-bin/texfaq2html?label=tds
diff --git a/Master/texmf-dist/doc/latex/isomath/isomath-test.pdf b/Master/texmf-dist/doc/latex/isomath/isomath-test.pdf
index 014321c05d9..07bc2bcc2c0 100644
--- a/Master/texmf-dist/doc/latex/isomath/isomath-test.pdf
+++ b/Master/texmf-dist/doc/latex/isomath/isomath-test.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/isomath/isomath-test.tex b/Master/texmf-dist/doc/latex/isomath/isomath-test.tex
index fd9c4267333..b640a4ff66b 100644
--- a/Master/texmf-dist/doc/latex/isomath/isomath-test.tex
+++ b/Master/texmf-dist/doc/latex/isomath/isomath-test.tex
@@ -1,4 +1,4 @@
-% isomath-test.tex: test and template for isomath.sty
+%isomath-test.tex: test and template for isomath.sty
% ===================================================
%
% Copyright © 2008 Günter Milde
@@ -9,9 +9,9 @@
% ::
\documentclass[a4paper]{article}
-\usepackage[LGR,T1]{fontenc}
-% \usepackage[T1]{fontenc}
+\usepackage[T1]{fontenc}
% \usepackage[utf8]{inputenc}
+\usepackage{amsmath}
\pagestyle{empty}
@@ -29,35 +29,37 @@
\newcommand*{\fontpackageoptions}{%
% default% with gfsneohellenic
% charter% with mathdesign
-garamond% with mathdesign
+% garamond% with mathdesign
% utopia% with mathdesign
}
\newcommand*{\fontpackage}{%
-% ae% \sfdefault is cmss
-% anttor% \sfdefault is cmss (use iwona)
-% arev% normal and sans identic (also in math)
-% beton% bitmap fonts
-% concmath%
-% cmbright% keeps \mathrm and \mathbf as CM (roman)
-% fourier% incompatible (uses private font encoding)
-% gfsneohellenic% (use option [default]) no bold
-% hfoldsty% bitmap fonts
-% iwona% sets cmss as sans font (use iwona)
-% kpfonts% no sans serif italic, needs reuseMathAlphabets
-% kerkis% no bold math, no sans serif (use iwona or arev?)
-% lmodern% \sfdefault is cmss
-% lucidabr% commercial, subset (no math) free as bitmap
-% lxfonts% normal and sans identic,
-mathdesign% \sfdefault is cmss, provides roman and roman-bold in OML
-% mathptmx% in mathnormal, Greek is larger than Latin!
-% mbtimes% \sfdefault is cmss
-% mathpazo% \sfdefault is cmss
-% pxfonts% needs reuseMathAlphabets, no sans-serif
-% tgpagella,qpxmath% \sfdefault is cmss
-% tgtermes,qtxmath% \sfdefault is cmss
-% txfonts% no sans-serif
-% zefonts%
+% ae,% \sfdefault is cmss
+% anttor,% \sfdefault is cmss (use iwona)
+% arev,% normal and sans identic (also in math)
+% beton,% bitmap fonts
+% concmath,%
+% cmbright,%
+% fourier,% incompatible (uses private font encoding)
+% gfsneohellenic,% (use option [default]) no bold
+% hfoldsty,% bitmap fonts
+% iwona,% sets cmss as sans font (use iwona)
+% kpfonts,% no sans serif italic
+% kerkis,% no bold math,
+% lmodern,% \sfdefault is cmss
+% lucidabr,% commercial, subset (no math) free as bitmap
+% lxfonts,% normal and sans identic,
+% mathdesign,% \sfdefault is cmss, provides roman and roman-bold in OML
+% mathptmx,% in mathnormal, Greek is larger than Latin!
+% mbtimes,% \sfdefault is cmss
+% mathpazo,% \sfdefault is cmss
+% pxfonts,% needs reuseMathAlphabets, no sans-serif
+tgcursor,% avoid bitmap tt
+tgheros,% avoid bitmap sf
+% tgpagella,% \sfdefault is cmss
+tgtermes,% \sfdefault is cmss
+% txfonts,% no sans-serif
+% zefonts%
}
% Isomath options
@@ -67,11 +69,12 @@ mathdesign% \sfdefault is cmss, provides roman and roman-bold in OML
\newcommand*{\isomathoptions}{%
% reuseMathAlphabets,%
-OMLmathrm,%
-OMLmathbf,%
+% OMLmathrm,%
+% OMLmathbf,%
% OMLmathsf,%
+OMLmathsfit,%
% OMLmathtt,%
-% OMLmathsans,%
+% OMLmathsans,% backwards compatibility option alias
% rmdefault=qtxmia,% TeX Gyre Termes math with alternative glyphs
% sfdefault=cmbr,% default
% sfdefault=iwona,% Iwona sans (Greek glyphs too close to roman)
@@ -85,7 +88,6 @@ OMLmathbf,%
% ::
\usepackage[\fontpackageoptions]{\fontpackage}
-
\usepackage[\isomathoptions]{isomath}
@@ -96,10 +98,16 @@ OMLmathbf,%
\renewcommand*{\vec}{\vectorsym}
-% Fall-back definition for \mathsans::
-\providecommand*{\mathsans}[1]%
-{\textsf{mathsans not defined, use \texttt{OMLmathsans} option}}
+% Fall-back definition for \mathsfit::
+
+\providecommand*{\mathsfit}[1]%
+{\textsf{mathsfit not defined, use \texttt{OMLmathsfit} option}}
+
+% use Arev as "heavy" sans serif font::
+
+\DeclareFontShape{OML}{fav}{bx}{it}{<-> s * [0.875] zavmbi7m}{}
+\SetMathAlphabet{\mathsfbfit}{bold}{OML}{fav}{bx}{it}
% Test sheet
@@ -113,22 +121,17 @@ OMLmathbf,%
% Print font package, isomath options, and resulting font families::
Fontpackage: [\fontpackageoptions]\{\fontpackage\}\\
-Isomath called with options: [\isomathoptions]\\
+Isomath: [\isomathoptions]\{isomath\}\\
Default font families:
\makeatletter
-\begin{tabular}[t]{rlrl}
- serif & \texttt{\rmdefault} &
- sans-serif & \texttt{\sfdefault}\\
- isomath-serif & \texttt{\isomath@rmdefault} &
- isomath-sf & \texttt{\isomath@sfdefault}\\
+\begin{tabular}[t]{lrlrl}
+ Text & serif & \textsf{\rmdefault} &
+ sans-serif & \textsf{\sfdefault}\\
+ Math & serif & \textsf{\isomath@rmdefault} &
+ sans-serif & \textsf{\isomath@sfdefault}\\
\end{tabular}
\makeatother
-\subsection*{Math alphabets}
-
-If there are other symbols in place of Greek letters in a math
-alphabet, it uses T1 or OT1 font encoding instead of OML.
-
% A teststring with Latin and Greek letters::
\newcommand{\teststring}{%
@@ -143,8 +146,15 @@ A,B,C,
v,w,
% is there a true italic form of a and g?
a,g,
+% digits
+0,1,9
}
+\subsection*{Math alphabets}
+
+If there are other symbols in place of Greek letters in a math
+alphabet, it uses T1 or OT1 font encoding instead of OML.
+
\begin{eqnarray*}
\mbox{mathnormal} & & \teststring \\
\mbox{mathit} & & \mathit{\teststring}\\
@@ -155,28 +165,29 @@ a,g,
\end{eqnarray*}
New alphabets bold-italic, sans-serif-italic, and sans-serif-bold-italic.
\begin{eqnarray*}
-\mbox{mathbold} & & \mathbold{\teststring}\\
-\mbox{mathsans} & & \mathsans{\teststring}\\
-\mbox{mathboldsans} & & \mathboldsans{\teststring}
+\mbox{mathbfit} & & \mathbfit{\teststring}\\
+\mbox{mathsfit} & & \mathsfit{\teststring}\\
+\mbox{mathsfbfit} & & \mathsfbfit{\teststring}
\end{eqnarray*}
%
Do the math alphabets match?
$
\mathnormal {a x \alpha \omega}
-\mathbold {a x \alpha \omega}
-\mathboldsans{a x \alpha \omega}
+\mathbfit {a x \alpha \omega}
+\mathsfbfit{a x \alpha \omega}
\quad
-\mathboldsans{T C \Theta \Gamma}
-\mathbold {T C \Theta \Gamma}
+\mathsfbfit{T C \Theta \Gamma}
+\mathbfit {T C \Theta \Gamma}
\mathnormal {T C \Theta \Gamma}
$
\subsection*{Vector symbols}
-Symbols for vectors are boldface italic:
-$\vec{\lambda}=\vec{e}_{1}\cdot\vec{a}$.
-
+Alphabetic symbols for vectors are boldface italic,
+$\vec{\lambda}=\vec{e}_{1}\cdot\vec{a}$,
+while numeric ones (e.g. the zero vector) are bold upright,
+$\vec{a} + \vec{0} = \vec{a}$.
\subsection*{Matrix symbols}
@@ -203,4 +214,71 @@ The permittivity tensor describes the coupling of electric field and
displacement: \[
\vec{D}=\epsilon_{0}\tensorsym{\epsilon}_{\mathrm{r}}\vec{E}\]
+
+\subsection*{Bold math version}
+
+The ``bold'' math version is selected with the commands
+\verb+\boldmath+ or \verb+\mathversion{bold}+
+\boldmath
+
+
+\begin{eqnarray*}
+\mbox{mathnormal} & & \teststring \\
+\mbox{mathit} & & \mathit{\teststring}\\
+\mbox{mathrm} & & \mathrm{\teststring}\\
+\mbox{mathbf} & & \mathbf{\teststring}\\
+\mbox{mathsf} & & \mathsf{\teststring}\\
+\mbox{mathtt} & & \mathtt{\teststring}
+\end{eqnarray*}
+ New alphabets bold-italic, sans-serif-italic, and sans-serif-bold-italic.
+\begin{eqnarray*}
+\mbox{mathbfit} & & \mathbfit{\teststring}\\
+\mbox{mathsfit} & & \mathsfit{\teststring}\\
+\mbox{mathsfbfit} & & \mathsfbfit{\teststring}
+\end{eqnarray*}
+%
+Do the math alphabets match?
+
+$
+\mathnormal {a x \alpha \omega}
+\mathbfit {a x \alpha \omega}
+\mathsfbfit{a x \alpha \omega}
+\quad
+\mathsfbfit{T C \Theta \Gamma}
+\mathbfit {T C \Theta \Gamma}
+\mathnormal {T C \Theta \Gamma}
+$
+
+\subsection*{Vector symbols}
+
+Alphabetic symbols for vectors are boldface italic,
+$\vec{\lambda}=\vec{e}_{1}\cdot\vec{a}$,
+while numeric ones (e.g. the zero vector) are bold upright,
+$\vec{a} + \vec{0} = \vec{a}$.
+
+
+\subsection*{Matrix symbols}
+
+Symbols for matrices are boldface italic, too:%
+\footnote{However, matrix symbols are usually capital letters whereas vectors
+are small ones. Exceptions are physical Quantities like the force
+vector $\vec{F}$ or the electrical field $\vec{E}$.%
+}
+$\matrixsym{\Lambda}=\matrixsym{E}\cdot\matrixsym{A}.$
+
+
+\subsection*{Tensor symbols}
+
+Symbols for tensors are sans-serif bold italic,
+
+\[
+ \tensorsym{\alpha} = \tensorsym{e}\cdot\tensorsym{a}
+ \quad \Longleftrightarrow \quad
+ \alpha_{ijl} = e_{ijk}\cdot a_{kl}.
+\]
+
+The permittivity tensor describes the coupling of electric field and
+displacement: \[
+\vec{D}=\epsilon_{0}\tensorsym{\epsilon}_{\mathrm{r}}\vec{E}\]
+
\end{document}
diff --git a/Master/texmf-dist/doc/latex/isomath/isomath.html b/Master/texmf-dist/doc/latex/isomath/isomath.html
new file mode 100644
index 00000000000..3ed67206bc3
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/isomath/isomath.html
@@ -0,0 +1,2478 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
+<meta name="generator" content="Docutils 0.8: http://docutils.sourceforge.net/" />
+<title>isomath: Math for scientists</title>
+<meta name="author" content="Günter Milde" />
+<meta name="date" content="2011-01-14" />
+<meta name="copyright" content="© 2008, 2011 Günter Milde" />
+<style type="text/css">
+
+/*
+:Author: David Goodger (goodger@python.org)
+:Id: $Id: html4css1.css 6511 2011-01-03 14:49:11Z milde $
+:Copyright: This stylesheet has been placed in the public domain.
+
+Default cascading style sheet for the HTML output of Docutils.
+
+See http://docutils.sf.net/docs/howto/html-stylesheets.html for how to
+customize this style sheet.
+*/
+
+/* used to remove borders from tables and images */
+.borderless, table.borderless td, table.borderless th {
+ border: 0 }
+
+table.borderless td, table.borderless th {
+ /* Override padding for "table.docutils td" with "! important".
+ The right padding separates the table cells. */
+ padding: 0 0.5em 0 0 ! important }
+
+.first {
+ /* Override more specific margin styles with "! important". */
+ margin-top: 0 ! important }
+
+.last, .with-subtitle {
+ margin-bottom: 0 ! important }
+
+.hidden {
+ display: none }
+
+a.toc-backref {
+ text-decoration: none ;
+ color: black }
+
+blockquote.epigraph {
+ margin: 2em 5em ; }
+
+dl.docutils dd {
+ margin-bottom: 0.5em }
+
+object[type="image/svg+xml"], object[type="application/x-shockwave-flash"] {
+ overflow: hidden;
+}
+
+/* Uncomment (and remove this text!) to get bold-faced definition list terms
+dl.docutils dt {
+ font-weight: bold }
+*/
+
+div.abstract {
+ margin: 2em 5em }
+
+div.abstract p.topic-title {
+ font-weight: bold ;
+ text-align: center }
+
+div.admonition, div.attention, div.caution, div.danger, div.error,
+div.hint, div.important, div.note, div.tip, div.warning {
+ margin: 2em ;
+ border: medium outset ;
+ padding: 1em }
+
+div.admonition p.admonition-title, div.hint p.admonition-title,
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+ font-weight: bold ;
+ font-family: sans-serif }
+
+div.attention p.admonition-title, div.caution p.admonition-title,
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+div.warning p.admonition-title {
+ color: red ;
+ font-weight: bold ;
+ font-family: sans-serif }
+
+/* Uncomment (and remove this text!) to get reduced vertical space in
+ compound paragraphs.
+div.compound .compound-first, div.compound .compound-middle {
+ margin-bottom: 0.5em }
+
+div.compound .compound-last, div.compound .compound-middle {
+ margin-top: 0.5em }
+*/
+
+div.dedication {
+ margin: 2em 5em ;
+ text-align: center ;
+ font-style: italic }
+
+div.dedication p.topic-title {
+ font-weight: bold ;
+ font-style: normal }
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+div.figure {
+ margin-left: 2em ;
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+ clear: both;
+ font-size: smaller }
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+ display: block ;
+ margin-top: 1em ;
+ margin-bottom: 1em }
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+div.line-block div.line-block {
+ margin-top: 0 ;
+ margin-bottom: 0 ;
+ margin-left: 1.5em }
+
+div.sidebar {
+ margin: 0 0 0.5em 1em ;
+ border: medium outset ;
+ padding: 1em ;
+ background-color: #ffffee ;
+ width: 40% ;
+ float: right ;
+ clear: right }
+
+div.sidebar p.rubric {
+ font-family: sans-serif ;
+ font-size: medium }
+
+div.system-messages {
+ margin: 5em }
+
+div.system-messages h1 {
+ color: red }
+
+div.system-message {
+ border: medium outset ;
+ padding: 1em }
+
+div.system-message p.system-message-title {
+ color: red ;
+ font-weight: bold }
+
+div.topic {
+ margin: 2em }
+
+h1.section-subtitle, h2.section-subtitle, h3.section-subtitle,
+h4.section-subtitle, h5.section-subtitle, h6.section-subtitle {
+ margin-top: 0.4em }
+
+h1.title {
+ text-align: center }
+
+h2.subtitle {
+ text-align: center }
+
+hr.docutils {
+ width: 75% }
+
+img.align-left, .figure.align-left, object.align-left {
+ clear: left ;
+ float: left ;
+ margin-right: 1em }
+
+img.align-right, .figure.align-right, object.align-right {
+ clear: right ;
+ float: right ;
+ margin-left: 1em }
+
+img.align-center, .figure.align-center, object.align-center {
+ display: block;
+ margin-left: auto;
+ margin-right: auto;
+}
+
+.align-left {
+ text-align: left }
+
+.align-center {
+ clear: both ;
+ text-align: center }
+
+.align-right {
+ text-align: right }
+
+/* reset inner alignment in figures */
+div.align-right {
+ text-align: inherit }
+
+/* div.align-center * { */
+/* text-align: left } */
+
+ol.simple, ul.simple {
+ margin-bottom: 1em }
+
+ol.arabic {
+ list-style: decimal }
+
+ol.loweralpha {
+ list-style: lower-alpha }
+
+ol.upperalpha {
+ list-style: upper-alpha }
+
+ol.lowerroman {
+ list-style: lower-roman }
+
+ol.upperroman {
+ list-style: upper-roman }
+
+p.attribution {
+ text-align: right ;
+ margin-left: 50% }
+
+p.caption {
+ font-style: italic }
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+p.credits {
+ font-style: italic ;
+ font-size: smaller }
+
+p.label {
+ white-space: nowrap }
+
+p.rubric {
+ font-weight: bold ;
+ font-size: larger ;
+ color: maroon ;
+ text-align: center }
+
+p.sidebar-title {
+ font-family: sans-serif ;
+ font-weight: bold ;
+ font-size: larger }
+
+p.sidebar-subtitle {
+ font-family: sans-serif ;
+ font-weight: bold }
+
+p.topic-title {
+ font-weight: bold }
+
+pre.address {
+ margin-bottom: 0 ;
+ margin-top: 0 ;
+ font: inherit }
+
+pre.literal-block, pre.doctest-block {
+ margin-left: 2em ;
+ margin-right: 2em }
+
+span.classifier {
+ font-family: sans-serif ;
+ font-style: oblique }
+
+span.classifier-delimiter {
+ font-family: sans-serif ;
+ font-weight: bold }
+
+span.interpreted {
+ font-family: sans-serif }
+
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+ white-space: nowrap }
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+ white-space: pre }
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+span.problematic {
+ color: red }
+
+span.section-subtitle {
+ /* font-size relative to parent (h1..h6 element) */
+ font-size: 80% }
+
+table.citation {
+ border-left: solid 1px gray;
+ margin-left: 1px }
+
+table.docinfo {
+ margin: 2em 4em }
+
+table.docutils {
+ margin-top: 0.5em ;
+ margin-bottom: 0.5em }
+
+table.footnote {
+ border-left: solid 1px black;
+ margin-left: 1px }
+
+table.docutils td, table.docutils th,
+table.docinfo td, table.docinfo th {
+ padding-left: 0.5em ;
+ padding-right: 0.5em ;
+ vertical-align: top }
+
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+ font-weight: bold ;
+ text-align: left ;
+ white-space: nowrap ;
+ padding-left: 0 }
+
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+h4 tt.docutils, h5 tt.docutils, h6 tt.docutils {
+ font-size: 100% }
+
+ul.auto-toc {
+ list-style-type: none }
+
+</style>
+<style type="text/css">
+
+/* html4css2.css: Cascading style sheet for Docutils' html4strict writer. */
+/* */
+/* :Author: Günter Milde */
+/* :Copyright: © 2009 Günter Milde. */
+/* Released without warranties or conditions of any kind */
+/* under the terms of the Apache License, Version 2.0 */
+/* http://www.apache.org/licenses/LICENSE-2.0 */
+/* */
+/* This stylesheet supplements the Docutils standard style 'html4css1.css'. */
+/* It uses CSS 2.1 elements (supported by up-to-date versions of popular */
+/* browsers). */
+
+/* General rules */
+/* ============= */
+
+body {
+ padding: 0 5%;
+ margin: 8px 0;
+ line-height:1.3;
+ /* http://ilovetypography.com/2008/02/28/a-guide-to-web-typography/
+ recommends "line-spacing that’s at least 140% of your text size" */
+ counter-reset: table;
+ /* counter-reset: figure; */
+}
+
+/* avoid long lines --> better reading */
+/* OTOH: lines should not be too short because of missing hyphenation, */
+div.document {
+ max-width: 45em;
+ margin: auto;
+}
+
+/* separate items except for compact lists */
+dl > dd {
+ margin-bottom: 1em;
+}
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+ margin-top: 0;
+ margin-bottom: 0;
+/* background: magenta; */
+}
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+ margin-top: 0;
+ margin-bottom: 0;
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+
+/* space around paragraphs */
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+ margin: 0;
+}
+
+/* Sidebar */
+/* ------- */
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+div.sidebar {
+ margin-right: -5%;
+}
+
+/* Special definition lists */
+/* ======================== */
+
+/* bold definition term on the same line as the label */
+dl.field-list > dt, dl.option-list > dt, dl.docinfo > dt,
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+ float: left;
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+ padding: 0;
+ padding-right: 0.5em;
+ font-weight: bold;
+}
+/* except for these */
+dl.option-list > dt, dl.footnote > dt {
+ font-weight: normal;
+}
+
+
+
+/* Field Lists */
+/* ----------- */
+
+/* field names followed by a colon */
+dl.field-list > dt:after, dl.docinfo > dt:after {
+ content: ":";
+}
+
+/* Offset for field content (corresponds to the --field-name-limit option) */
+dl.field-list > dd {
+ margin-left: 9em; /* ca. 14 chars in the test examples */
+ padding-left: 0.5em;
+}
+
+/* start field-body on a new line after long field names */
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+ width: 100%;
+/* display: inline-block; */
+/* background: yellow; */
+}
+
+dl.field-list > dd > p:first-child,
+/* dl.field-list > dd > ol:first-child, */
+/* dl.field-list > dd > ul:first-child, */
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+ display: inline-block;
+}
+
+/* field-list variants:: */
+
+/* example for custom field-name width */
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+ margin-left: 5em;
+}
+
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+dl.field-list.run-in > dd p {
+ display: block;
+}
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+ overflow: hidden;
+}
+dl.field-list.fix-labelwidth > dd:after {
+ /* a "stopper" to prevent next dd floating up too far */
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+ display: block;
+ clear: left;
+}
+
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+ margin-left: 8em;
+/* margin-bottom: 0.5em; */
+}
+
+
+/* option list */
+
+dl.option-list {
+ margin-left: 1em;
+ padding-left: 0;
+}
+
+dl.option-list > dd {
+ margin-left: 8em;
+ /* margin-bottom: 0.5em; */
+}
+
+/* start description on a new line after long options */
+dl.option-list > dd p {
+ width: 100%;
+ display: inline-block;
+}
+
+/* footnotes */
+
+a.footnote-reference, a.fn-backref {
+ text-decoration: inherit; /* do not underline footnote links */
+}
+
+dl.footnote {
+ /* line on the left */
+ padding-left: 1ex;
+ border-left: solid;
+ border-left-width: thin;
+ /* border-color: black; */
+}
+
+/* paragraph on same line as backrefs */
+dd > em {
+/* background: green; */
+ float: left;
+ margin-right: 1ex
+}
+
+
+/*
+Ordered List (Enumeration)
+--------------------------
+
+Use counters to replace the deprecated start attribute. Make sure the
+resulting list resembles the list-style 'outside' with a hanging indent.
+*/
+
+/* New ordered list: reset counter, suppress the default label */
+ol {
+ counter-reset: item;
+ list-style-type: none ! important;
+}
+
+/* Set the negative indent of the list label as feature of the list item */
+ol > li {
+ text-indent: -40px; /* Mozillas default indent */
+}
+/* reset for child elements */
+ol > li > * {
+ text-indent: 0px;
+ text-indent: 0;
+ margin-top: 0;
+ /* background: lightgreen; */
+}
+
+/* Label */
+ol > li:before {
+ /* increment and typeset counter(s), */
+ counter-increment: item;
+ content: counter(item) ".";
+ /* display next to the content (aligned top-right), */
+ display: inline-block;
+ text-align: right;
+ vertical-align: top;
+ /* sum must match ol>li {text-indent:} (40px is Mozillas default) */
+ width: 35px;
+ padding-right: 5px;
+/* background: yellow; */
+}
+
+/* The list item's first line starts next to the label, without indent */
+ol > li > p:first-child,
+ol > li > ol:first-child,
+ol > li > ul:first-child,
+ol > li > dl:first-child {
+ display: inline-block;
+ /* background: lightblue; */
+}
+
+/* default separator variants */
+ol.loweralpha > li:before {
+ content: counter(item, lower-alpha) ")";
+}
+ol.upperalpha > li:before {
+ content: counter(item, upper-alpha) ".";
+}
+ol.lowerroman > li:before {
+ content: "(" counter(item, lower-roman) ")";
+}
+ol.upperroman > li:before {
+ content: counter(item, upper-roman) ")";
+}
+/* nested counters (1, 1.1, 1.1.1, etc) */
+/* nested enumerated lists "inherit" the class attribute, other lists not */
+ol.nested > li:before, ol.nested ol > li:before {
+ content: counters(item, ".") " ";
+}
+
+/* TODO: prefix, suffix? */
+
+/* smaller font for super- and subscripts */
+/* sub, sup {font-size: 70%;} */ /* Mozilla default is `smaller` */
+
+
+/* Tables */
+/* ====== */
+
+/* margins and borders for "normal" tables */
+table {
+ margin-top: 0.5em ;
+ margin-bottom: 0.5em;
+ border-style: outset;
+ border-width: thin;
+ /* border-collapse: collapse; */
+}
+blockquote > table {
+ margin-top: 0em ;
+ margin-bottom: 0em;
+}
+
+td, th {
+ border-style: inset;
+ border-width: thin;
+ /* text-align: left; */
+ padding: 0 1ex;
+}
+
+td > p:first-child, th > p:first-child {
+ margin-top: 0;
+}
+td > p, th > p {
+ margin-bottom: 0;
+}
+
+/* no borders for "borderless" tables */
+table.borderless, table.borderless * {
+ border-style: none;
+}
+
+/* "booktabs" style (no vertical lines) */
+table.booktabs {
+ border: 0;
+ border-top: 2px solid;
+ border-bottom: 2px solid;
+ border-collapse: collapse;
+}
+
+table.booktabs * {
+ border: 0;
+}
+table.booktabs th {
+ border-bottom: thin solid;
+}
+
+table > caption {
+ text-align: left;
+/* padding: 2em 0 1em 0; */
+}
+
+/* numbered tables*/
+table.numbered > caption:before {
+ counter-increment: table; /* defined/re-set in body */
+ content: "Table " counter(table) ": ";
+ font-weight: bold;
+}
+
+
+/* literal text
+ ------------
+*/
+/* whitespace and wrapping in inline literals */
+/* possible values: normal, nowrap, pre, pre-wrap, pre-line */
+tt.literal {
+ white-space: pre-wrap;
+}
+
+/* /* compensate for initial line-break (which is literal with XHTML 1.1) */ */
+/* pre.literal-block, pre.doctest-block { */
+/* margin-top: 0em ; */
+/* } */
+
+/* Table of Contents */
+
+/* don't indent like a topic */
+div.topic.contents {
+ margin: 0;
+}
+/* div.topic.contents ul { */
+/* list-style: none; */
+/* } */
+
+div.topic.contents a {
+ text-decoration: none; /* no underline for links */
+}
+
+/* section numbers */
+
+span.sectnum {
+ padding-right: 1ex;
+}
+
+/* admonitions */
+
+/* no padding for top and bottom */
+div.admonition, div.attention, div.caution, div.danger, div.error,
+div.hint, div.important, div.note, div.tip, div.warning {
+ padding: 0px 1em }
+
+</style>
+<style type="text/css">
+
+/* Stylesheet for isomath documentation
+:Copyright: 2008 G. Milde
+ This stylesheet is released under the GPL v. 2
+*/
+
+dl.docutils dt { font-weight: bold; }
+
+/* docinfo */
+
+dl.docinfo > dt { display: none; }
+dl.docinfo > dd {
+ margin-left: 0;
+ padding: 0 5%;
+}
+dl.docinfo > dt.author + dd {
+ font-size: larger;
+ text-align: center;
+ padding-bottom: 1em;
+}
+dt.date {
+ display: none;
+}
+dt.date + dd {
+ font-weight: bold;
+ text-align: center;
+ padding-bottom: 1em;
+}
+
+div.abstract {
+ padding: 0 5%;
+}
+
+a.reference.internal {
+ text-decoration: none;
+ color: darkblue;
+}
+
+a.reference.external {
+ text-decoration: underline;
+}
+
+/* a.reference.external:after { */
+/* content: "⎘"; */
+/* font-size: x-small; */
+/* vertical-align: super; */
+/* } */
+
+dl.footnote > dd {
+ margin-left: 1.2em;
+}
+dl.footnote > dt {
+ font-size: small;
+ vertical-align: super;
+}
+
+a.footnote-reference > sup {
+ font-size: small;
+ vertical-align: super;
+ }
+
+td, th {
+ padding-bottom: 0.1ex;
+ padding-top: 0.1ex;
+}
+
+/* no borders for "borderless" tables */
+table.booktabs.borderless, table.booktabs.borderless * {
+ border-style: none;
+}
+
+</style>
+</head>
+<body>
+<div class="document" id="isomath-math-for-scientists">
+<h1 class="title">isomath: Math for scientists</h1>
+
+<dl class="docinfo simple">
+<dt class="author">Author</dt>
+<dd class="author">Günter Milde</dd>
+<dt class="date">Date</dt>
+<dd class="date">2011-01-14</dd>
+<dt class="copyright">Copyright</dt>
+<dd class="copyright">© 2008, 2011 Günter Milde</dd>
+<dt>Licence</dt>
+<dd><p>This work may be distributed and/or modified under the
+conditions of the <a class="reference external" href="http://www.latex-project.org/lppl.txt">LaTeX Project Public License</a>, either
+version&nbsp;1.3 of this license or (at your option) any later version.</p>
+</dd>
+</dl>
+<div class="abstract topic">
+<p class="topic-title first">Abstract</p>
+<p>The <cite>isomath</cite> package sets up an “ISO math style” allowing the
+use of Greek and Latin letters as symbols for scalars,
+vectors, matrices, and tensors in the typefaces recommended
+for scientific papers by the International Standard
+ISO&nbsp;80000-2.</p>
+</div>
+<!-- -*- rst-mode -*- -->
+<div class="contents topic" id="contents">
+<p class="topic-title first">Contents</p>
+<ul class="auto-toc simple">
+<li><p><a class="reference internal" href="#features" id="id30"><span class="sectnum">1</span> Features</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#iso-math-style" id="id31"><span class="sectnum">1.1</span> ISO math style</a></p></li>
+<li><p><a class="reference internal" href="#new-math-alphabets" id="id32"><span class="sectnum">1.2</span> New math alphabets</a></p></li>
+<li><p><a class="reference internal" href="#semantic-markup" id="id33"><span class="sectnum">1.3</span> Semantic markup</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#usage" id="id34"><span class="sectnum">2</span> Usage</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#options" id="id35"><span class="sectnum">2.1</span> Options</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#rmdefault" id="id36"><span class="sectnum">2.1.1</span> rmdefault</a></p></li>
+<li><p><a class="reference internal" href="#sfdefault" id="id37"><span class="sectnum">2.1.2</span> sfdefault</a></p></li>
+<li><p><a class="reference internal" href="#scaled" id="id38"><span class="sectnum">2.1.3</span> scaled</a></p></li>
+<li><p><a class="reference internal" href="#reusemathalphabets" id="id39"><span class="sectnum">2.1.4</span> reuseMathAlphabets</a></p></li>
+<li><p><a class="reference internal" href="#omlmathrm-omlmathbf-omlmathsf-omlmathsfit-omlmathtt" id="id40"><span class="sectnum">2.1.5</span> OMLmathrm, OMLmathbf, OMLmathsf, OMLmathsfit, OMLmathtt</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#examples" id="id41"><span class="sectnum">2.2</span> Examples</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#how-to-get-upright-small-greek-letters" id="id42"><span class="sectnum">2.2.1</span> How to get upright small Greek letters</a></p></li>
+</ul>
+</li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#related-packages" id="id43"><span class="sectnum">3</span> Related packages</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#requirements" id="id44"><span class="sectnum">3.1</span> Requirements</a></p></li>
+<li><p><a class="reference internal" href="#recommendations" id="id45"><span class="sectnum">3.2</span> Recommendations</a></p></li>
+<li><p><a class="reference internal" href="#alternatives" id="id46"><span class="sectnum">3.3</span> Alternatives</a></p></li>
+<li><p><a class="reference internal" href="#conflicts" id="id47"><span class="sectnum">3.4</span> Conflicts</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#background" id="id48"><span class="sectnum">4</span> Background</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#math-font-selection" id="id49"><span class="sectnum">4.1</span> Math font selection</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#math-alphabets" id="id50"><span class="sectnum">4.1.1</span> Math alphabets</a></p></li>
+<li><p><a class="reference internal" href="#math-versions" id="id51"><span class="sectnum">4.1.2</span> Math versions</a></p></li>
+<li><p><a class="reference internal" href="#math-styles" id="id52"><span class="sectnum">4.1.3</span> Math styles</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#math-letter-fonts" id="id53"><span class="sectnum">4.2</span> Math letter fonts</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#oml-font-encoding" id="id54"><span class="sectnum">4.2.1</span> OML font encoding</a></p></li>
+<li><p><a class="reference internal" href="#oml-support" id="id55"><span class="sectnum">4.2.2</span> OML Support</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#unicode-mathematical-typesetting" id="id56"><span class="sectnum">4.3</span> Unicode mathematical typesetting</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#unicode-math-alphabets" id="id57"><span class="sectnum">4.3.1</span> Unicode math alphabets</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#naming-scheme" id="id58"><span class="sectnum">4.3.1.1</span> Naming scheme</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#the-unicode-math-package" id="id59"><span class="sectnum">4.3.2</span> The unicode-math package</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#conclusions-and-outlook" id="id60"><span class="sectnum">4.4</span> Conclusions and outlook</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#references" id="id61"><span class="sectnum">5</span> References</a></p></li>
+</ul>
+</div>
+<div class="section" id="features">
+<h1><a class="toc-backref" href="#id30"><span class="sectnum">1</span> Features</a></h1>
+<!-- How do you write the stress tensor ``$\sigma$`` in a
+`sans-serif bold italic` typeface, as recommended by [typefaces]_? -->
+<p>Leading international scientific organisations recommend math layout
+rules in line with the International Standard <a class="citation-reference" href="#iso-80000-2" id="id1">[ISO-80000-2]</a> in their
+style guides, e. g., <a class="citation-reference" href="#typefaces" id="id2">[typefaces]</a>, <a class="citation-reference" href="#checklist" id="id3">[checklist]</a>, <a class="citation-reference" href="#si" id="id4">[SI]</a>, <a class="citation-reference" href="#fonts-for-symbols" id="id5">[fonts_for_symbols]</a>,
+<a class="citation-reference" href="#red-book" id="id6">[Red-Book]</a>, <a class="citation-reference" href="#green-book" id="id7">[Green-Book]</a>:</p>
+<ul class="simple">
+<li><p>The overall rule is that symbols representing physical quantities
+(or variables) are italic, but symbols representing units, or
+labels, are roman.</p></li>
+<li><p>Symbols for vectors are boldface italic, symbols for tensors are
+sans-serif bold italic, and symbols for matrices are boldface
+italic.</p></li>
+<li><p>The above rules apply equally to letter symbols from both the Greek
+and the Latin alphabet.</p></li>
+</ul>
+<p>The traditional TeX <a class="reference internal" href="#math-style">math style</a> deviates from this rules in some
+points:</p>
+<ul class="simple">
+<li><p>capital Greek letters default to upright shape,</p></li>
+<li><p>small Greek letters are excluded from font changes with the <a class="reference internal" href="#math-alphabets">math
+alphabets</a>.</p></li>
+<li><p>The <tt class="literal">\vec</tt> command produces an arrow accent.</p></li>
+</ul>
+<p>The <cite>isomath</cite> package implements an <a class="reference internal" href="#iso-math-style">ISO math style</a> and provides
+<a class="reference internal" href="#new-math-alphabets">new math alphabets</a> with bold italic and sans-serif bold italic
+typeshape that can be used for vector and tensor symbols.</p>
+<div class="section" id="iso-math-style">
+<span id="equal-treatment-of-latin-and-greek"></span><h2><a class="toc-backref" href="#id31"><span class="sectnum">1.1</span> ISO math style</a></h2>
+<p>The required package <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a> changes the default math layout to the
+“ISO” <a class="reference internal" href="#math-style">math style</a>:</p>
+<ul class="simple">
+<li><p>Uppercase Greek letters are typeset italic by default.</p></li>
+<li><p>Both, Greek and Latin letters change shape if a different
+<a class="reference internal" href="#math-alphabet">math alphabet</a> is used.</p></li>
+</ul>
+<p>However, fixmath works only for the Computer Modern font family.
+With <cite>isomath</cite>,</p>
+<ul class="simple">
+<li><p>the used math fonts are configurable (using the <a class="reference internal" href="#rmdefault">rmdefault</a> and
+<a class="reference internal" href="#sfdefault">sfdefault</a> options), and</p></li>
+<li><p>upright Greek letters can be made available through the common
+<tt class="literal">\math*</tt> alphabets via the <a class="reference internal" href="#omlmath">OMLmath*</a> options if the
+corresponding fonts support the <a class="reference internal" href="#oml-font-encoding">OML font encoding</a>.</p></li>
+</ul>
+<div class="caution">
+<p class="admonition-title">Caution!</p>
+<p>Using Greek letters in standard <a class="reference internal" href="#math-alphabets">math alphabets</a>, e. g.,
+<tt class="literal"><span class="pre">\mathrm{\pi}</span></tt>, can lead to garbage, as the standard math
+alphabets are usually taken from text fonts that have ligatures and
+non-alpha symbols in place of the small Greek letters.
+Do not use small Greek letters in the standard math alphabet commands
+<tt class="literal">mathit</tt>, <tt class="literal">mathrm</tt>, <tt class="literal">mathbf</tt>, <tt class="literal">mathsf</tt>, and <tt class="literal">mathtt</tt>
+unless you use the <a class="reference internal" href="#omlmath">OMLmath*</a> options.</p>
+<p>Some packages provide alternative macros or options for upright
+Greek letters (cf.&nbsp;<a class="reference internal" href="#table-6">Table&nbsp;6</a>).</p>
+</div>
+</div>
+<div class="section" id="new-math-alphabets">
+<h2><a class="toc-backref" href="#id32"><span class="sectnum">1.2</span> New math alphabets</a></h2>
+<p><cite>Isomath</cite> defines three new <a class="reference internal" href="#math-alphabets">math alphabets</a>:</p>
+<blockquote>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="21%" />
+<col width="31%" />
+<col width="47%" />
+</colgroup>
+<tbody valign="top">
+<tr><td><p><tt class="literal">\mathbfit</tt></p></td>
+<td><p>boldface italic</p></td>
+<td><p>vector and matrix symbols</p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathsfit</tt></p></td>
+<td><p>sans-serif italic</p></td>
+<td><p>optional (see OMLmath*_ options)</p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathsfbfit</tt></p></td>
+<td><p>sans-serif bold italic</p></td>
+<td><p>tensor symbols</p></td>
+</tr>
+</tbody>
+</table>
+</blockquote>
+<p>The <a class="reference internal" href="#rmdefault">rmdefault</a> and <a class="reference internal" href="#sfdefault">sfdefault</a> <a class="reference internal" href="#options">options</a> set the font family used for
+these alphabets.</p>
+<div class="caution">
+<p class="admonition-title">Caution!</p>
+<p>Using the new math alphabets for numbers can result in <span class="target" id="upright-old-style-numbers">upright
+old-style numbers</span> instead of italic ones, because some italic math
+fonts (e. g., cmr, cmbr) have old-style numbers in place of italic
+digits.</p>
+</div>
+<p>For compatibility with earlier versions and <a class="reference internal" href="#related-packages">related packages</a>, the
+new math alphabets are also available under the aliases
+<tt class="literal">\mathbold</tt>, <tt class="literal">\mathsans</tt>, and <tt class="literal">\mathboldsans</tt>.</p>
+</div>
+<div class="section" id="semantic-markup">
+<h2><a class="toc-backref" href="#id33"><span class="sectnum">1.3</span> Semantic markup</a></h2>
+<p>The following commands set the argument in an ISO-conforming math alphabet:</p>
+<blockquote>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="39%" />
+<col width="61%" />
+</colgroup>
+<tbody valign="top">
+<tr><td><p><tt class="literal">\vectorsym, \matrixsym</tt></p></td>
+<td><p>bold&nbsp;italic for Greek and Latin letters,
+bold&nbsp;upright for numbers</p></td>
+</tr>
+<tr><td><p><tt class="literal">\tensorsym</tt></p></td>
+<td><p>sans-serif bold italic</p></td>
+</tr>
+</tbody>
+</table>
+</blockquote>
+</div>
+</div>
+<div class="section" id="usage">
+<h1><a class="toc-backref" href="#id34"><span class="sectnum">2</span> Usage</a></h1>
+<p>Make sure that LaTeX can find <tt class="literal">isomath.sty</tt> and load it with
+<tt class="literal">\usepackage</tt> (see also <a class="reference internal" href="#options">Options</a> and <a class="reference internal" href="#examples">Examples</a>).</p>
+<div class="section" id="options">
+<h2><a class="toc-backref" href="#id35"><span class="sectnum">2.1</span> Options</a></h2>
+<div class="section" id="rmdefault">
+<h3><a class="toc-backref" href="#id36"><span class="sectnum">2.1.1</span> rmdefault</a></h3>
+<p>Family for serif math fonts (<tt class="literal">\mathrm</tt>, <tt class="literal">\mathbf</tt>, <tt class="literal">\mathit</tt>,
+<tt class="literal">\mathbfit</tt>). The default is to use the corresponding text font
+family (the value of <tt class="literal">\rmdefault</tt>). The font must be available in
+<a class="reference internal" href="#oml-font-encoding">OML font encoding</a> (cf. <a class="reference internal" href="#table-3">Table&nbsp;3</a>).</p>
+</div>
+<div class="section" id="sfdefault">
+<h3><a class="toc-backref" href="#id37"><span class="sectnum">2.1.2</span> sfdefault</a></h3>
+<p>Family for sans-serif math fonts. The default is <tt class="literal">cmbr</tt> because many
+sans-serif fonts define the Computer Roman font <cite>cmm</cite> as OML substitution
+(see <a class="reference internal" href="#table-4">Table&nbsp;4</a>).</p>
+<p>There are only few sans serif fonts in <a class="reference internal" href="#oml-font-encoding">OML font encoding</a>:</p>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="14%" />
+<col width="15%" />
+<col width="71%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>Name</p></th>
+<th class="head"><p>Package</p></th>
+<th class="head"><p>Comment</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p><tt class="literal">cmbr</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/cmbright.html">cmbright</a></p></td>
+<td><p><cite>Computer Modern Bright</cite>, bitmap, slightly lighter
+than cmss (Type 1 fonts with <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/hfbright.html">hfbright</a>)</p></td>
+</tr>
+<tr><td><p><tt class="literal">fav</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/arev.html">arev</a></p></td>
+<td><p><cite>Arev</cite> (<cite>Vera Sans</cite>) with math extension,
+large x-height</p></td>
+</tr>
+<tr><td><p><tt class="literal">iwona</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/iwona.html">iwona</a></p></td>
+<td><p>Humanistic Sans Serif,
+some shapes very similar to roman</p></td>
+</tr>
+<tr><td><p><tt class="literal">hvm</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/hvmath.html">hvmath</a></p></td>
+<td><p><cite>Helvetica Math</cite>, commercial, free bitmap version</p></td>
+</tr>
+<tr><td><p><tt class="literal">llcmss</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/lxfonts.html">lxfonts</a></p></td>
+<td><p><cite>LX Fonts</cite>, very wide, eccentric, large x-height,
+new in 2008</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="section" id="scaled">
+<h3><a class="toc-backref" href="#id38"><span class="sectnum">2.1.3</span> scaled</a></h3>
+<p>To improve the chances of configuring a matching sans serif math font,
+the fonts, <tt class="literal">fav</tt>, <tt class="literal">llcmss</tt>, and <tt class="literal">iwona</tt> can be scaled with the
+<tt class="literal">scaled</tt> option (cf. <a class="reference internal" href="#examples">Examples</a>).</p>
+</div>
+<div class="section" id="reusemathalphabets">
+<h3><a class="toc-backref" href="#id39"><span class="sectnum">2.1.4</span> reuseMathAlphabets</a></h3>
+<p>The definition of new math alphabets can lead to a “<a class="reference internal" href="#too-many-math-alphabets-used-in-version-normal">too many math
+alphabets used in version normal</a>” error. As a workaround, this
+option tells <cite>isomath</cite> to re-use the existing <tt class="literal">\mathbf</tt> and
+<tt class="literal">\mathsf</tt> alphabets for italic bold and sans-serif bold.<a class="footnote-reference" href="#id9" id="id8"><sup>1</sup></a></p>
+<dl class="footnote"><dt class="label"><a class="fn-backref" href="#id8">1</a></dt>
+<dd id="id9">
+<p class="first last">To access the upright shapes, the corresponding <tt class="literal">\textbf</tt> and
+<tt class="literal">\textsf</tt> commands might be used. However, this toggles the
+math-mode off and might use a different font, so watch for
+side-effects.</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="omlmathrm-omlmathbf-omlmathsf-omlmathsfit-omlmathtt">
+<span id="omlmath"></span><h3><a class="toc-backref" href="#id40"><span class="sectnum">2.1.5</span> OMLmathrm, OMLmathbf, OMLmathsf, OMLmathsfit, OMLmathtt</a></h3>
+<p>With Greek letters defined as <tt class="literal">\mathalpha</tt>, the letter fonts are
+expected to be in <a class="reference internal" href="#oml-font-encoding">OML font encoding</a>. The predefined
+<a class="reference internal" href="#math-alphabets">math alphabets</a>, however, use OT1 encoded text fonts. These fonts
+have ligatures and accents in place of the small Greek letters.
+The <tt class="literal">\mathsfit</tt> alphabet is not required for ISO conforming math.</p>
+<p>The <tt class="literal">OMLmath*</tt> options bind the corresponding <tt class="literal">\math*</tt> command to an
+OML-encoded font.
+This enables use of small Greek letters in <a class="reference internal" href="#math-alphabet">math alphabet</a> commands,
+e. g., <tt class="literal"><span class="pre">\mathrm{\pi}</span></tt> <em>if an OML encoded font is available</em>.
+<a class="reference internal" href="#table-3">Table&nbsp;3</a> lists font families supporting the OML encoding.</p>
+<div class="caution">
+<p class="admonition-title">Caution!</p>
+<p>If no matching OML encoded font is found, LaTeX's substitute
+mechanism kicks in and selects a font with different font attributes
+(for all letters, not only Greek). Currently, only the <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a>
+package provides upright fonts in OML encoding. Many font packages
+define an <em>italic</em> font as OML substitute for roman fonts.</p>
+<p>With some packages, these options can result in a “<a class="reference internal" href="#too-many-math-alphabets-used-in-version-normal">too many math
+alphabets used in version normal</a>” error.</p>
+</div>
+</div>
+</div>
+<div class="section" id="examples">
+<h2><a class="toc-backref" href="#id41"><span class="sectnum">2.2</span> Examples</a></h2>
+<ul>
+<li><p>Redefine the standard <tt class="literal">\vec</tt> command to set its argument in an
+ISO-conforming math alphabet.:</p>
+<pre class="literal-block">\usepackage{isomath}
+\renewcommand{\vec}{\vectorsym}
+</pre>
+</li>
+<li><p>Use scaled <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/arev.html">arev</a> fonts for the sans serif alphabets
+(adapt the scaling factor to your needs):</p>
+<pre class="literal-block">\usepackage[sfdefault=fav,scaled=0.875]{isomath}
+</pre>
+</li>
+<li><p>Define the <tt class="literal">\mathsfit</tt> sans-serif italic math alphabet:</p>
+<pre class="literal-block">\usepackage[OMLmathsfit]{isomath}
+</pre>
+</li>
+<li><p>The <tt class="literal">\mathbfit</tt> and <tt class="literal">\mathsfbfit</tt> alphabets do not have a different
+weight in the <tt class="literal">bold</tt> <a class="reference internal" href="#math-version">math version</a> because the number of LaTeX math
+fonts providing <cite>extrabold</cite> or <cite>ultrabold</cite> series is negligible.</p>
+<p>As a workaround, use the heavier <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/arev.html">arev</a> font, scaled to 0,875, in the
+bold version of <tt class="literal">\mathsfbfit</tt>:</p>
+<pre class="literal-block">\usepackage{isomath}
+\DeclareFontShape{OML}{fav}{bx}{it}{&lt;-&gt; s * [0.875] zavmbi7m}{}
+\SetMathAlphabet{\mathsfbfit}{bold}{OML}{fav}{bx}{it}
+</pre>
+</li>
+</ul>
+<p>See also the <tt class="literal"><span class="pre">isomath-test.tex</span></tt> test document.</p>
+<div class="section" id="how-to-get-upright-small-greek-letters">
+<h3><a class="toc-backref" href="#id42"><span class="sectnum">2.2.1</span> How to get upright small Greek letters</a></h3>
+<p>Of the following methods, only the first requires <cite>isomath</cite>:</p>
+<ol class="loweralpha">
+<li><p>Use <cite>isomath</cite> and the <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a> package:</p>
+<pre class="literal-block">\usepackage[utopia]{mathdesign}
+\usepackage[OMLmathrm,OMLmathbf]{isomath}
+</pre>
+<p>Now, e. g., <tt class="literal"><span class="pre">\mathrm{\pi}</span></tt> and <tt class="literal"><span class="pre">\mathbf{\pi}</span></tt> work as
+expected.</p>
+</li>
+<li><p>To get upright small Greek letters without affecting other fonts,
+set the math alphabet manually to one of the three <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a>
+fonts, e. g.:</p>
+<pre class="literal-block">\SetMathAlphabet{\mathbf}{normal}{OML}{mdput}{b}{n}
+</pre>
+<p>(check if the letter shapes match with the rest of the document).</p>
+</li>
+<li><p>Use a package that provides macros for upright Greek letters
+in math:</p>
+<blockquote>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="26%" />
+<col width="74%" />
+</colgroup>
+<tbody valign="top">
+<tr><td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fourier.html">fourier</a></p></td>
+<td><p><tt class="literal">\otheralpha ... \otherOmega</tt></p></td>
+</tr>
+<tr><td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a></p></td>
+<td><p><tt class="literal">\alphaup ... \Omegaup</tt></p></td>
+</tr>
+<tr><td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a></p></td>
+<td><p><tt class="literal">\alphaup ... \Omegaup</tt></p></td>
+</tr>
+<tr><td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/upgreek.html">upgreek</a></p></td>
+<td><p><tt class="literal">\upalpha ... \upOmega</tt></p></td>
+</tr>
+</tbody>
+</table>
+</blockquote>
+</li>
+<li><p>Use an upright text character (requires a matching LGR-encoded
+Greek text font). The following lines redefine <tt class="literal">\pi</tt> to set
+the mathematical constant pi upright:</p>
+<pre class="literal-block">\usepackage[LGR,T1]{fontenc}
+\usepackage[greek,british]{babel}
+\usepackage{amsmath}
+\let\mathpi\pi
+\renewcommand{\pi}{\text{\textrm{\greektext p }}}
+</pre>
+</li>
+</ol>
+</div>
+</div>
+</div>
+<div class="section" id="related-packages">
+<h1><a class="toc-backref" href="#id43"><span class="sectnum">3</span> Related packages</a></h1>
+<div class="section" id="requirements">
+<h2><a class="toc-backref" href="#id44"><span class="sectnum">3.1</span> Requirements</a></h2>
+<dl class="docutils">
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a></dt>
+<dd><p>by Walter Schmidt defines Greek letters as alphabetic symbols.</p>
+</dd>
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kvoptions.html">kvoptions</a></dt>
+<dd><p>by Heiko Oberdiek facilitates the setup of package options
+and provides a key=value interface (based on <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/keyval.html">keyval</a>).</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="recommendations">
+<h2><a class="toc-backref" href="#id45"><span class="sectnum">3.2</span> Recommendations</a></h2>
+<dl class="docutils">
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/cmbright.html">cmbright</a></dt>
+<dd><p>by Walter Schmidt provides sans serif and sans-serif bold fonts
+for the <tt class="literal">\mathsfit</tt> and <tt class="literal">\mathsfbfit</tt> alphabets that match
+with Computer Modern and derivatives. Free Type 1 versions of the
+fonts are provided by <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/hfbright.html">hfbright</a>.</p>
+</dd>
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/arev.html">arev</a></dt>
+<dd><p>by Stephen Hartke provides the not-so-light <cite>Arev</cite> sans serif font
+with letters that are clearly distinguishable from the roman or
+italic counterparts (important if used to distinguish vectors and
+tensors).</p>
+<p><cite>Arev</cite> has a large x-height. For many fonts, either small or capital
+letters will not match in size.</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="alternatives">
+<h2><a class="toc-backref" href="#id46"><span class="sectnum">3.3</span> Alternatives</a></h2>
+<p>See <a class="reference internal" href="#table-2">Table&nbsp;2</a> for other packages that implement the “ISO” <a class="reference internal" href="#math-style">math
+style</a> and <a class="reference internal" href="#table-6">Table&nbsp;6</a> for packages that provide bold italic
+math fonts.</p>
+<dl class="docutils">
+<dt><a class="reference internal" href="#in-line-math-versions">“In-line math versions”</a></dt>
+<dd><p>can be used as ISO-conforming replacement for <tt class="literal">\vec</tt>:</p>
+<ul class="simple">
+<li><p><tt class="literal">\boldsymbol</tt> from <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amsbsy.html">amsbsy</a> (part of <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amsmath.html">amsmath</a>, the
+near-indispensable adjunct to serious mathematical typesetting in
+LaTeX),</p></li>
+<li><p><tt class="literal">\bm</tt> from the <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/bm.html">bm</a> package. Combining <cite>bm</cite> and <cite>isomath</cite> may
+lead to the <a class="reference internal" href="#too-many-math-alphabets-used-in-version-normal">too many math alphabets used in version normal</a> error.</p></li>
+</ul>
+</dd>
+<dt><tt class="literal">\text</tt></dt>
+<dd><p>from <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amsmath.html">amsmath</a> can be used to get, e. g., upright or sans-serif
+bold italic Greek symbols from a text font into a formula (see
+<a class="reference internal" href="#how-to-get-upright-small-greek-letters">How to get upright small Greek letters</a>).</p>
+</dd>
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></dt>
+<dd><p>for XeTeX and LuaTeX allows mathematical typesetting using OpenType
+math fonts. It supports the “ISO” <a class="reference internal" href="#math-style">math style</a> and all mathematical
+characters in the Unicode standard.</p>
+<p>unicode-math cannot be used together with <cite>isomath</cite>. It can, however,
+replace all of isomath's functionality. See the discussion of <a class="reference internal" href="#the-unicode-math-package">the
+unicode-math package</a> below.</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="conflicts">
+<h2><a class="toc-backref" href="#id47"><span class="sectnum">3.4</span> Conflicts</a></h2>
+<dl class="docutils">
+<dt>“<span class="target" id="too-many-math-alphabets-used-in-version-normal">too many math alphabets used in version normal</span>”</dt>
+<dd><p>This error occurs if the combination of packages tries to load more
+than 16 fonts into the <tt class="literal">normal</tt> <a class="reference internal" href="#math-version">math version</a>.</p>
+<p><cite>Isomath</cite> can reduce the number of math alphabet definitions with the
+<a class="reference internal" href="#reusemathalphabets">reuseMathAlphabets</a> option (see there for side-effects).</p>
+<p>Examples for problematic combinations:</p>
+<ul class="simple">
+<li><p>The <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/pxfonts.html">pxfonts</a>, and <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/txfonts.html">txfonts</a> packages define many
+additional math alphabets.</p></li>
+<li><p>The <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/bm.html">bm</a> package normally allocates several symbol fonts for bold
+and heavy fonts. Their number can be customized by defining
+<tt class="literal">\bmmax</tt> and <tt class="literal">\hmmax</tt> before loading the package.</p></li>
+</ul>
+</dd>
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fourier.html">fourier</a></dt>
+<dd><p>provides upright and italic Greek letters, but uses non-standard
+math font encodings. It cannot be used with <cite>isomath</cite>.</p>
+<p>However, it is possible to use the non-alphanumeric symbols from
+<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fourier.html">fourier</a> together with math alphabets from another package, e.g
+<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a>:</p>
+<pre class="literal-block">\usepackage{fourier}
+\usepackage[OMLmathbf,rmdefault=mdput,
+ sfdefault=arev,scaled=0.85]{isomath}
+</pre>
+</dd>
+</dl>
+</div>
+</div>
+<div class="section" id="background">
+<h1><a class="toc-backref" href="#id48"><span class="sectnum">4</span> Background</a></h1>
+<p>This section discusses LaTeX <a class="reference internal" href="#math-font-selection">math font selection</a>, suitable
+<a class="reference internal" href="#math-letter-fonts">math letter fonts</a> for the ISO math style, and the relation of LaTeX and
+<a class="reference internal" href="#unicode-mathematical-typesetting">Unicode mathematical typesetting</a>.</p>
+<div class="section" id="math-font-selection">
+<h2><a class="toc-backref" href="#id49"><span class="sectnum">4.1</span> Math font selection</a></h2>
+<p>There are three complementary methods to set font attributes in LaTeX
+math mode: <cite>LaTeX 2e font selection</cite> <a class="citation-reference" href="#fntguide" id="id10">[fntguide]</a> describes <a class="reference internal" href="#math-alphabets">math
+alphabets</a> and <a class="reference internal" href="#math-versions">math versions</a>, several extension packages
+provide alternative <a class="reference internal" href="#math-styles">math styles</a> (cf. <a class="reference internal" href="#table-2">Table&nbsp;2</a>).</p>
+<div class="section" id="math-alphabets">
+<span id="math-alphabet"></span><h3><a class="toc-backref" href="#id50"><span class="sectnum">4.1.1</span> Math alphabets</a></h3>
+<p>Math alphabets are a counterpart to the <a class="reference internal" href="#mathematical-alphanumeric-symbols">mathematical alphanumeric
+symbols</a> block in Unicode. Both are “to be used for mathematical
+variables where style variations are important semantically”.
+The font guide <a class="citation-reference" href="#fntguide" id="id11">[fntguide]</a> defines in
+section&nbsp;3:</p>
+<blockquote>
+<p>Some math fonts are selected explicitly by one-argument commands
+such as <tt class="literal">\mathsf{max}</tt> or <tt class="literal">\mathbf{vec}</tt>; such fonts are called
+<em>math alphabets</em>.</p>
+<p>Math fonts [...] have the same five attributes as text fonts:
+encoding, family, series, shape and size. However, there are no
+commands that allow the attributes to be individually changed.
+Instead, the conversion from math fonts to these five attributes is
+controlled by the <a class="reference internal" href="#math-version">math version</a>.</p>
+<p>The <span class="target" id="predefined-math-alphabets">predefined math alphabets</span> are:</p>
+<blockquote>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="43%" />
+<col width="58%" />
+</colgroup>
+<tbody valign="top">
+<tr><td><p><tt class="literal">\mathnormal</tt></p></td>
+<td><p>default<a class="footnote-reference" href="#mathnormal" id="id12"><sup>2</sup></a></p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathrm</tt></p></td>
+<td><p>roman<a class="footnote-reference" href="#roman" id="id13"><sup>3</sup></a></p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathbf</tt></p></td>
+<td><p>bold roman</p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathsf</tt></p></td>
+<td><p>sans serif</p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathit</tt></p></td>
+<td><p>text italic</p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathtt</tt></p></td>
+<td><p>typewriter</p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathcal</tt></p></td>
+<td><p>calligraphic</p></td>
+</tr>
+</tbody>
+</table>
+</blockquote>
+</blockquote>
+<dl class="footnote"><dt class="label"><a class="fn-backref" href="#id12">2</a></dt>
+<dd id="mathnormal">
+<p class="first last"><tt class="literal">\mathnormal</tt> is used by default for alphanumeric
+characters in math mode. It sets the letter shape according to
+character class and <a class="reference internal" href="#math-style">math style</a>. (<a class="reference internal" href="#table-1">Table&nbsp;1</a> shows the default
+letter shapes for common math styles).</p>
+</dd>
+<dt class="label"><a class="fn-backref" href="#id13">3</a></dt>
+<dd id="roman">
+<p class="first last">The specifier “roman” is ambiguous: roman shape
+stands for <em>upright</em>, while roman type stands for <em>serif</em> (as
+opposed to sans serif).</p>
+</dd>
+</dl>
+<p>Many packages define additional math alphabets (cf. <a class="reference internal" href="#table-6">Table&nbsp;6</a>).</p>
+<p>In contrast to the similar named text commands, math alphabets are
+<em>not</em> orthogonal, e. g., the code <tt class="literal"><span class="pre">$\mathit{\mathbf{a}}$</span></tt> sets the
+letter <tt class="literal">a</tt> in <strong>upright</strong> bold type.</p>
+</div>
+<div class="section" id="math-versions">
+<span id="math-version"></span><h3><a class="toc-backref" href="#id51"><span class="sectnum">4.1.2</span> Math versions</a></h3>
+<p>The number of mathematical symbols exceeds the maximal number of
+characters in a TeX font file by an order of magnitude.<a class="footnote-reference" href="#max" id="id14"><sup>4</sup></a>
+Grouping math fonts with common characteristics in math versions
+simplifies the setting of font attributes for mathematical expressions.</p>
+<p><em>Math versions</em> set up “math symbol fonts” for non-alphanumeric
+symbols and bind the <a class="reference internal" href="#math-alphabet">math alphabet</a> commands to fonts using default
+values for non-specified font attributes. TeX limits the number of
+(symbol + alphanumeric) fonts per math version to 16.</p>
+<p>The predefined math versions are <tt class="literal">normal</tt> and <tt class="literal">bold</tt> with the
+defaults:</p>
+<blockquote>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="31%" />
+<col width="38%" />
+<col width="31%" />
+</colgroup>
+<tbody valign="top">
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">normal</tt></p></td>
+<td><p><tt class="literal">bold</tt></p></td>
+</tr>
+<tr><td><p><em>type</em></p></td>
+<td><p>serif</p></td>
+<td><p>serif</p></td>
+</tr>
+<tr><td><p><em>weight</em></p></td>
+<td><p>medium</p></td>
+<td><p>bold</p></td>
+</tr>
+<tr><td><p><em>shape</em></p></td>
+<td><p>upright</p></td>
+<td><p>upright</p></td>
+</tr>
+</tbody>
+</table>
+</blockquote>
+<p>Packages can define additional math versions, e. g., the <a class="reference external" href="http://phong.informatik.uni-leipzig.de/~kuska/wri_texmf_4.2.zip">wrisym</a> package
+defines a <tt class="literal">mono</tt> math version. A <tt class="literal">sans</tt> math version example is
+available from a <a class="reference external" href="http://newsgroups.derkeiler.com/Archive/Comp/comp.text.tex/2007-09/msg00181.html">comp.text.tex post</a></p>
+<p>Math versions are intended for mathematical content in a special
+context, e. g., a bold section heading.
+Setting a math version resembles the individual selection of text
+font attributes (bold, sans-serif, monospaced).</p>
+<p>Math versions can only be changed outside of math mode. The commands
+<tt class="literal">\boldsymbol</tt> (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amsmath.html">amsmath</a>) and <tt class="literal">\bm</tt> (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/bm.html">bm</a>) behave like <span class="target" id="in-line-math-versions">“in-line
+math versions”</span>: they typeset their argument using the fonts of the
+<tt class="literal">bold</tt> math version but can be used inside math mode.</p>
+<p>Example: four ways to set the letter <tt class="literal">a</tt> in a bold
+sans-serif font:</p>
+<pre class="literal-block">% Text Math:
+\textbf{\textsf{a}} $\bm{\mathsf{a}}$
+\bfseries \textsf{a} \mathversion{bold} $\mathsf{a}$
+</pre>
+<dl class="footnote"><dt class="label"><a class="fn-backref" href="#id14">4</a></dt>
+<dd id="max">
+<p class="first last">Unicode provides about 2500 math characters. Font files used
+by 8-bit TeX engines can hold up to 256 characters. The standard
+math fonts adhere to the original limit of 128 characters.</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="math-styles">
+<span id="math-style"></span><h3><a class="toc-backref" href="#id52"><span class="sectnum">4.1.3</span> Math styles</a></h3>
+<p>A <em>math style</em> is a document-level feature that determines the default
+letter shape in math mode (i. e. the shape attribute of letters in the
+<tt class="literal">\mathnormal</tt> <a class="reference internal" href="#math-alphabet">math alphabet</a>).</p>
+<table class="booktabs numbered align-left" id="table-1">
+<caption>Default letter shapes for common math styles</caption>
+<colgroup>
+<col width="30%" />
+<col width="18%" />
+<col width="18%" />
+<col width="18%" />
+<col width="18%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>math style</p></th>
+<th class="head"><p>latin</p></th>
+<th class="head"><p>Latin</p></th>
+<th class="head"><p>greek</p></th>
+<th class="head"><p>Greek</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p>TeX</p></td>
+<td><p>it</p></td>
+<td><p>it</p></td>
+<td><p>it</p></td>
+<td><p>up</p></td>
+</tr>
+<tr><td><p>ISO</p></td>
+<td><p>it</p></td>
+<td><p>it</p></td>
+<td><p>it</p></td>
+<td><p>it</p></td>
+</tr>
+<tr><td><p>French</p></td>
+<td><p>it</p></td>
+<td><p>up</p></td>
+<td><p>up</p></td>
+<td><p>up</p></td>
+</tr>
+<tr><td><p>upright</p></td>
+<td><p>up</p></td>
+<td><p>up</p></td>
+<td><p>up</p></td>
+<td><p>up</p></td>
+</tr>
+</tbody>
+</table>
+<p>LaTeX defaults to the “TeX” math style (without naming it such).
+Alternative math styles are introduced by extension packages
+(<a class="reference internal" href="#table-2">Table&nbsp;2</a>).</p>
+<table class="booktabs numbered align-left" id="table-2">
+<caption>Packages providing math styles</caption>
+<colgroup>
+<col width="18%" />
+<col width="20%" />
+<col width="62%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>math style</p></th>
+<th class="head"><p>Package</p></th>
+<th class="head"><p>Option(s)</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p>ISO</p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a></p></td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p>isomath</p></td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a></p></td>
+<td><p>slantedGreeks</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://pctex.com/files/managed/b/bf/lucimatxAbbrev.pdf">lucimatx</a></p></td>
+<td><p>math-style=iso</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a></p></td>
+<td><p>greekuppercase=italicized</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathpazo.html">mathpazo</a></p></td>
+<td><p>slantedGreek</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathptmx.html">mathptmx</a></p></td>
+<td><p>slantedGreek</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+<td><p>math-style=ISO</p></td>
+</tr>
+<tr><td><p>French</p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fourier.html">fourier</a></p></td>
+<td><p>upright</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a></p></td>
+<td><p>frenchstyle (or upright)</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://pctex.com/files/managed/b/bf/lucimatxAbbrev.pdf">lucimatx</a></p></td>
+<td><p>math-style=french</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a></p></td>
+<td><p>uppercase=upright, greeklowercase=upright</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+<td><p>math-style=french</p></td>
+</tr>
+<tr><td><p>upright</p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/eulervm.html">eulervm</a></p></td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://pctex.com/files/managed/b/bf/lucimatxAbbrev.pdf">lucimatx</a></p></td>
+<td><p>math-style=upright</p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+<td><p>math-style=upright</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+</div>
+<div class="section" id="math-letter-fonts">
+<h2><a class="toc-backref" href="#id53"><span class="sectnum">4.2</span> Math letter fonts</a></h2>
+<p>The equal treatment of Latin and Greek letters in the <a class="reference internal" href="#iso-math-style">ISO math
+style</a> is simplest achieved with a font that contains all required
+letters in one file.</p>
+<p>There is only one established LaTeX font encoding that contains Latin and
+Greek letters, the <a class="reference internal" href="#oml-font-encoding">OML font encoding</a>. The standard Greek font
+encoding <cite>T7</cite> is just a “reserved name” and the de-facto standard
+Greek text font encoding <cite>LGR</cite> has no Latin letters. Unfortunately,
+<a class="reference internal" href="#oml-support">OML support</a> is limited to a few (mostly italic) fonts.</p>
+<div class="section" id="oml-font-encoding">
+<h3><a class="toc-backref" href="#id54"><span class="sectnum">4.2.1</span> OML font encoding</a></h3>
+<p>The <cite>LaTeX font encodings</cite> guide <a class="citation-reference" href="#encguide" id="id15">[encguide]</a> names the OML encoding
+<cite>TeX math italic</cite> and defines:</p>
+<blockquote>
+<p>The <span class="target" id="oml">OML</span> encoding contains italic Latin and Greek letters for use in
+mathematical formulas (typically used for variables) together with some
+symbols.</p>
+</blockquote>
+<p>The reference to <em>italic</em> shape is odd:</p>
+<ul class="simple">
+<li><p>No other font encoding is specific to the font shape.</p></li>
+<li><p>The different font selection and the semantic of font features in
+math do not interfere with the font <em>encoding</em>: Both,
+<tt class="literal">\DeclareSymbolFont</tt> and <tt class="literal">\DeclareMathAlphabet</tt> require a
+shape argument. Thus it is possible to set up OML encoded math
+alphabets in roman {n} as well as italic {it} shape without
+conflicts.</p></li>
+</ul>
+<p>This seems to be more a remnant of pre-NFSS times than a necessary
+restriction – there is only one OML encoded font in Knuth's Computer
+Modern fonts: <cite>Computer Modern Math Italic</cite> (cmmi).</p>
+<p>Proposals:</p>
+<ul>
+<li><p>Drop the <em>italic</em> from the definition. Optionally add an explanation:</p>
+<blockquote>
+<p>The OML encoding contains Latin and Greek letters for use in
+mathematical formulas (typically used for variables) together with
+some symbols. It first appeared in the <cite>Computer Modern Math
+Italic</cite> (cmmi) font.</p>
+</blockquote>
+</li>
+<li><p>The name <cite>TeX math italic</cite> can be interpreted as “the encoding
+<strong>of</strong> <cite>Computer Modern Math Italic</cite>” rather than “an encoding
+<strong>for</strong> math italic” fonts.</p>
+<p>A less confusing name would be <cite>TeX math letters</cite> or <cite>Original/Old
+Math Letters</cite>. The latter would also explain the acronym OML.</p>
+</li>
+</ul>
+</div>
+<div class="section" id="oml-support">
+<h3><a class="toc-backref" href="#id55"><span class="sectnum">4.2.2</span> OML Support</a></h3>
+<p>Unfortunately, support for the OML encoding is missing for many font
+families even if the text font defines Greek letters.
+Supported font families can be found searching for <tt class="literal"><span class="pre">oml*.fd</span></tt> files
+and grepping for <tt class="literal"><span class="pre">DeclareFont.*OML</span></tt> in <tt class="literal">*.sty</tt> files.</p>
+<p><a class="reference internal" href="#table-3">Table&nbsp;3</a> lists the findings for a selection of TeXLive&nbsp;2009 + some
+additionally installed font packages.</p>
+<ul class="simple">
+<li><p>If there is an alias (substitution) from the text font to a
+math-variant, only the text font is listed.</p></li>
+<li><p>Many text fonts define substitutions also for upright shape,
+however mapping to an italic variant of the OML encoded font. These
+are not listed as supporting <tt class="literal">m/n</tt> or <tt class="literal">bx/n</tt> here.</p></li>
+</ul>
+<table class="booktabs numbered align-left" id="table-3">
+<caption>Font families supporting the OML encoding</caption>
+<colgroup>
+<col width="19%" />
+<col width="40%" />
+<col width="10%" />
+<col width="12%" />
+<col width="9%" />
+<col width="10%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>Name</p></th>
+<th class="head"><p>Family</p></th>
+<th class="head"><p>m/it</p></th>
+<th class="head"><p>bx/it</p></th>
+<th class="head"><p>m/n</p></th>
+<th class="head"><p>bx/n</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p>aer</p></td>
+<td><p>AE (Almost European)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>antt</p></td>
+<td><p>Antykwa Torunska</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>cmr</p></td>
+<td><p>Computer Modern Roman</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ccr</p></td>
+<td><p>Concrete</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>cmbr</p></td>
+<td><p>Computer Modern Bright</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>hlh</p></td>
+<td><p>Lucida</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>hfor</p></td>
+<td><p>CM with old-style digits</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>iwona</p></td>
+<td><p>Iwona (sans serif)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkp</p></td>
+<td><p>Kepler Serif</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkpl</p></td>
+<td><p>Kepler Serif</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkpvos</p></td>
+<td><p>Kepler Serif</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkplvos</p></td>
+<td><p>Kepler Serif</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>llcmm</p></td>
+<td><p>LX Fonts (sans serif)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>lmr</p></td>
+<td><p>Latin Modern Roman</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>mak</p></td>
+<td><p>Kerkis</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>kurier</p></td>
+<td><p>Kurier</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>mdbch</p></td>
+<td><p>Math Design Charter</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+</tr>
+<tr><td><p>mdput</p></td>
+<td><p>Math Design Utopia</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+</tr>
+<tr><td><p>mdugm</p></td>
+<td><p>Math Design Garamond</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+</tr>
+<tr><td><p>neohellenic</p></td>
+<td><p>GFS Neohellenic</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>plcm</p></td>
+<td><p>CM (PLaTeX)</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ptmom</p></td>
+<td><p>Times (Omega or MB-Times)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ptmomu</p></td>
+<td><p>Times (Omega or MB-Times)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ptmcm</p></td>
+<td><p>Times (psfont)</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>pxr</p></td>
+<td><p>Palatino (pxfonts)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>qpl</p></td>
+<td><p>Palatino/Pagella (qpxmath)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>qtm</p></td>
+<td><p>Times/Termes (qtxmath)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>txr</p></td>
+<td><p>Times (txfonts)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>udidot</p></td>
+<td><p>Didot (gfsdidot)</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ywclm</p></td>
+<td><p>(greektex)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>zavm</p></td>
+<td><p>Arev (Vera Sans-Serif)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>zesfcm</p></td>
+<td><p>(efont)</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>zplm</p></td>
+<td><p>Palatino (mathpazo)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>zpple</p></td>
+<td><p>Palatino</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ztmcm</p></td>
+<td><p>Times (mathptmv)</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>zer</p></td>
+<td><p>Computer Modern (zefonts)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+</tbody>
+</table>
+<p><a class="reference internal" href="#table-4">Table&nbsp;4</a> lists some fonts that define <tt class="literal">cmm</tt> as OML substitution.
+With <cite>isomath</cite>, a better matching substitution can be set using the
+<a class="reference internal" href="#rmdefault">rmdefault</a> or <a class="reference internal" href="#sfdefault">sfdefault</a> options.</p>
+<table class="booktabs numbered align-left" id="table-4">
+<caption>Non-CM fonts with <tt class="literal">cmm</tt> as OML substitution</caption>
+<colgroup>
+<col width="30%" />
+<col width="70%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>Family</p></th>
+<th class="head"><p>Name</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p>bch</p></td>
+<td><p>Charter (psnfss)</p></td>
+</tr>
+<tr><td><p>pag</p></td>
+<td><p>Avant Garde (psnfss)</p></td>
+</tr>
+<tr><td><p>pbk</p></td>
+<td><p>Bookman (psnfss)</p></td>
+</tr>
+<tr><td><p>pcr</p></td>
+<td><p>Courier (psnfss)</p></td>
+</tr>
+<tr><td><p>phv</p></td>
+<td><p>Helvetica (psnfss)</p></td>
+</tr>
+<tr><td><p>pnc</p></td>
+<td><p>New Century Schoolbook (psnfss)</p></td>
+</tr>
+<tr><td><p>ppl</p></td>
+<td><p>Palatino (psnfss)</p></td>
+</tr>
+<tr><td><p>ptm</p></td>
+<td><p>Times Roman (psnfss)</p></td>
+</tr>
+<tr><td><p>put</p></td>
+<td><p>Utopia (psnfss)</p></td>
+</tr>
+<tr><td><p>pzc</p></td>
+<td><p>Zapf Chancery (psnfss)</p></td>
+</tr>
+<tr><td><p>uag</p></td>
+<td><p>Avant Garde (avantgar)</p></td>
+</tr>
+<tr><td><p>ubk</p></td>
+<td><p>Bookman (bookman)</p></td>
+</tr>
+<tr><td><p>ucr</p></td>
+<td><p>Courier (courier)</p></td>
+</tr>
+<tr><td><p>ucrs</p></td>
+<td><p>Courier</p></td>
+</tr>
+<tr><td><p>unc</p></td>
+<td><p>New Courier (nctrsbk)</p></td>
+</tr>
+<tr><td><p>uni</p></td>
+<td><p>Universal (universa)</p></td>
+</tr>
+<tr><td><p>uhv</p></td>
+<td><p>Helvetica (helvetic)</p></td>
+</tr>
+<tr><td><p>upl</p></td>
+<td><p>Palatino (palatino)</p></td>
+</tr>
+<tr><td><p>utm</p></td>
+<td><p>Times (times)</p></td>
+</tr>
+<tr><td><p>uzc</p></td>
+<td><p>Zapf Chancery (zapfchan)</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+</div>
+<div class="section" id="unicode-mathematical-typesetting">
+<h2><a class="toc-backref" href="#id56"><span class="sectnum">4.3</span> Unicode mathematical typesetting</a></h2>
+<p>The technical report <a class="citation-reference" href="#tr25" id="id16">[tr25]</a> presents an in-depth discussion of the
+mathematics character repertoire of the Unicode Standard as well as
+mathematical notation in general.</p>
+<p>This section compares <a class="reference internal" href="#math-font-selection">math font selection</a> in LaTeX and Unicode.
+It suggests a set of 14 math alphabets that covers all Unicode
+<a class="reference internal" href="#mathematical-alphanumeric-symbols">mathematical alphanumeric symbols</a> and discusses compatibility
+issues between math typesetting with traditional (8-bit) TeX engines
+versus <a class="reference internal" href="#the-unicode-math-package">the unicode-math package</a> for Unicode-enabled TeX engines
+(XeTeX, LuaTeX).</p>
+<div class="section" id="unicode-math-alphabets">
+<span id="mathematical-alphanumeric-symbols"></span><h3><a class="toc-backref" href="#id57"><span class="sectnum">4.3.1</span> Unicode math alphabets</a></h3>
+<p>Chapter 2 <cite>Mathematical Character Repertoire</cite> of <a class="citation-reference" href="#tr25" id="id17">[tr25]</a> lists 14
+<cite>Mathematical Alphabets</cite> in Table 2.1. These mathematical alphabets are a
+superset of the predefined <a class="reference internal" href="#math-alphabets">math alphabets</a> in the LaTeX core.</p>
+<p>Unicode assignes code points to most letters of the mathematical
+alphabets in the <a class="reference external" href="http://www.unicode.org/charts/PDF/U1D400.pdf">mathematical alphanumeric symbols Unicode block</a>.
+The plain (upright, serifed) letters have been unified with the
+existing characters in the Basic Latin and Greek blocks.</p>
+<p><a class="reference internal" href="#table-5">Table&nbsp;5</a> maps the 14 Unicode mathematical alphabets to LaTeX commands
+according to the <a class="reference internal" href="#naming-scheme">naming scheme</a> below. <a class="reference internal" href="#table-6">Table&nbsp;6</a> lists the status of
+LaTeX support for the mathematical alphanumeric symbols. Full support is
+provided by <a class="reference internal" href="#the-unicode-math-package">the unicode-math package</a>.</p>
+<table class="booktabs numbered align-left" id="table-5">
+<caption>Mapping Unicode <a class="reference internal" href="#mathematical-alphanumeric-symbols">mathematical alphanumeric symbols</a> to LaTeX
+math alphabets.</caption>
+<colgroup>
+<col width="16%" />
+<col width="13%" />
+<col width="20%" />
+<col width="28%" />
+<col width="23%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>serifs</p></th>
+<th class="head"><p>weight</p></th>
+<th class="head"><p>shape</p></th>
+<th class="head"><p>symbols</p></th>
+<th class="head"><p>math alphabet</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p><em>serif</em></p></td>
+<td><p><em>medium</em></p></td>
+<td><p><em>upright</em></p></td>
+<td><p>Latin/Greek/digits<a class="footnote-reference" href="#up" id="id18"><sup>5</sup></a></p></td>
+<td><p><tt class="literal">\mathrm</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p>bold</p></td>
+<td>&nbsp;</td>
+<td><p>Latin/Greek/digits</p></td>
+<td><p><tt class="literal">\mathbf</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td>&nbsp;</td>
+<td><p>italic</p></td>
+<td><p>Latin/Greek</p></td>
+<td><p><tt class="literal">\mathit</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p>bold</p></td>
+<td><p>italic</p></td>
+<td><p>Latin/Greek</p></td>
+<td><p><tt class="literal">\mathbfit</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td>&nbsp;</td>
+<td><p>script</p></td>
+<td><p>Latin</p></td>
+<td><p><tt class="literal">\mathcal</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p>bold</p></td>
+<td><p>script</p></td>
+<td><p>Latin</p></td>
+<td><p><tt class="literal">\mathbfcal</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td>&nbsp;</td>
+<td><p>fraktur</p></td>
+<td><p>Latin</p></td>
+<td><p><tt class="literal">\mathfrak</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td>&nbsp;</td>
+<td><p>double-struck</p></td>
+<td><p>Latin/digits</p></td>
+<td><p><tt class="literal">\mathbb</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p>bold</p></td>
+<td><p>fraktur</p></td>
+<td><p>Latin</p></td>
+<td><p><tt class="literal">\mathbffrak</tt></p></td>
+</tr>
+<tr><td><p>sans serif</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td><p>Latin/digits</p></td>
+<td><p><tt class="literal">\mathsf</tt></p></td>
+</tr>
+<tr><td><p>sans serif</p></td>
+<td><p>bold</p></td>
+<td>&nbsp;</td>
+<td><p>Latin/Greek/digits</p></td>
+<td><p><tt class="literal">\mathsfbf</tt></p></td>
+</tr>
+<tr><td><p>sans serif</p></td>
+<td>&nbsp;</td>
+<td><p>italic</p></td>
+<td><p>Latin</p></td>
+<td><p><tt class="literal">\mathsfit</tt></p></td>
+</tr>
+<tr><td><p>sans serif</p></td>
+<td><p>bold</p></td>
+<td><p>italic</p></td>
+<td><p>Latin/Greek</p></td>
+<td><p><tt class="literal">\mathsfbfit</tt></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td>&nbsp;</td>
+<td><p>monospace</p></td>
+<td><p>Latin/digits</p></td>
+<td><p><tt class="literal">\mathtt</tt></p></td>
+</tr>
+</tbody>
+</table>
+<dl class="footnote"><dt class="label">5</dt>
+<dd id="up">
+<em>(<a class="fn-backref" href="#id18">1</a>, <a class="fn-backref" href="#id19">2</a>)</em> <p class="last">plain standard characters outside the
+<cite>mathematical alphanumeric symbols</cite> Unicode block.</p>
+</dd>
+</dl>
+<div class="section" id="naming-scheme">
+<h4><a class="toc-backref" href="#id58"><span class="sectnum">4.3.1.1</span> Naming scheme</a></h4>
+<p>The naming scheme is an extension of the predefined <a class="reference internal" href="#math-alphabet">math alphabet</a>
+commands with the short-cuts</p>
+<blockquote>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="14%" />
+<col width="86%" />
+</colgroup>
+<tbody valign="top">
+<tr><td><p>bf</p></td>
+<td><p>bold,</p></td>
+</tr>
+<tr><td><p>it</p></td>
+<td><p>italic,</p></td>
+</tr>
+<tr><td><p>cal</p></td>
+<td><p>script (calligraphic),</p></td>
+</tr>
+<tr><td><p>frak</p></td>
+<td><p>fraktur,</p></td>
+</tr>
+<tr><td><p>bb</p></td>
+<td><p>double-struck (blackboard bold),</p></td>
+</tr>
+<tr><td><p>sf</p></td>
+<td><p>sans serif</p></td>
+</tr>
+</tbody>
+</table>
+</blockquote>
+<p>combined to commands in the form <tt class="literal"><span class="pre">\math&lt;type&gt;&lt;weight&gt;&lt;shape&gt;</span></tt>.</p>
+<p>The &lt;<em>type</em>&gt;, &lt;<em>weight</em>&gt;, and &lt;<em>shape</em>&gt; specifiers are optional
+(defaults depend on the <a class="reference internal" href="#math-version">math version</a>). Their order matches the
+names of Unicode <a class="reference internal" href="#mathematical-alphanumeric-symbols">Mathematical Alphanumeric Symbols</a>.</p>
+<p>Examples:</p>
+<pre class="literal-block">\mathbf{d} % MATHEMATICAL BOLD SMALL D
+\mathsfbfit{d} % MATHEMATICAL SANS-SERIF BOLD ITALIC SMALL D.
+</pre>
+<table class="booktabs numbered align-left" id="table-6">
+<caption>LaTeX support for <a class="reference internal" href="#mathematical-alphanumeric-symbols">mathematical alphanumeric symbols</a>.</caption>
+<colgroup>
+<col width="18%" />
+<col width="38%" />
+<col width="43%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>style</p></th>
+<th class="head"><p>math alphabet</p></th>
+<th class="head"><p>package, comment</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p>plain<a class="footnote-reference" href="#up" id="id19"><sup>5</sup></a></p></td>
+<td><p><tt class="literal">\mathrm</tt></p></td>
+<td><p>predefined<a class="footnote-reference" href="#no-g" id="id20"><sup>6</sup></a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\mathup</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+</tr>
+<tr><td><p>bf</p></td>
+<td><p><tt class="literal">\mathbf</tt></p></td>
+<td><p>predefined<a class="footnote-reference" href="#no-g" id="id21"><sup>6</sup></a></p></td>
+</tr>
+<tr><td><p>it</p></td>
+<td><p><tt class="literal">\mathit</tt></p></td>
+<td><p>predefined<a class="footnote-reference" href="#no-g" id="id22"><sup>6</sup></a></p></td>
+</tr>
+<tr><td><p>bf it</p></td>
+<td><p><tt class="literal">\mathbfit</tt></p></td>
+<td><p>isomath<a class="footnote-reference" href="#digits" id="id23"><sup>7</sup></a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\mathbold</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathpazo.html">mathpazo</a>,
+<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathptmx.html">mathptmx</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/tmmath.html">tmmath</a><a class="footnote-reference" href="#digits" id="id24"><sup>7</sup></a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\boldsymbol</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amsmath.html">amsmath</a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\bm</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/bm.html">bm</a></p></td>
+</tr>
+<tr><td><p>cal</p></td>
+<td><p><tt class="literal">\mathcal</tt></p></td>
+<td><p>predefined<a class="footnote-reference" href="#script" id="id25"><sup>8</sup></a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\mathscr</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathrsfs.html">mathrsfs</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/euscript.html">euscript</a>,
+<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a></p></td>
+</tr>
+<tr><td><p>bf cal</p></td>
+<td><p><tt class="literal">\mathbfscr</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+</tr>
+<tr><td><p>frak</p></td>
+<td><p><tt class="literal">\mathfrak</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amssymb.html">amssymb</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amsfonts.html">amsfonts</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/eufrak.html">eufrak</a></p></td>
+</tr>
+<tr><td><p>bf frak</p></td>
+<td><p><tt class="literal">\mathbffrak</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+</tr>
+<tr><td><p>bb</p></td>
+<td><p><tt class="literal">\mathbb</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amssymb.html">amssymb</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/bbold.html">bbold</a>,
+<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathbbol.html">mathbbol</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mbboard.html">mbboard</a>,
+<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathpazo.html">mathpazo</a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\mathbbm</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/bbm.html">bbm</a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\mathds</tt></p></td>
+<td><p>dsfont (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/doublestoke.html">doublestoke</a>)</p></td>
+</tr>
+<tr><td><p>sf</p></td>
+<td><p><tt class="literal">\mathsf</tt></p></td>
+<td><p>predefined<a class="footnote-reference" href="#no-g" id="id26"><sup>6</sup></a></p></td>
+</tr>
+<tr><td><p>sf bf</p></td>
+<td><p><tt class="literal">\mathbfsfup</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+</tr>
+<tr><td><p>sf it</p></td>
+<td><p><tt class="literal">\mathsfit</tt></p></td>
+<td><p>isomath<a class="footnote-reference" href="#digits" id="id27"><sup>7</sup></a></p></td>
+</tr>
+<tr><td><p>sf bf it</p></td>
+<td><p><tt class="literal">\mathsfbfit</tt></p></td>
+<td><p>isomath<a class="footnote-reference" href="#digits" id="id28"><sup>7</sup></a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\mathbold</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/cmbright.html">cmbright</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/hvmath.html">hvmath</a></p></td>
+</tr>
+<tr><td><!-- -->
+</td>
+<td><p><tt class="literal">\mathbfsfit</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a></p></td>
+</tr>
+<tr><td><p>tt</p></td>
+<td><p><tt class="literal">\mathtt</tt></p></td>
+<td><p>predefined<a class="footnote-reference" href="#no-g" id="id29"><sup>6</sup></a></p></td>
+</tr>
+</tbody>
+</table>
+<dl class="footnote"><dt class="label">6</dt>
+<dd id="no-g">
+<em>(<a class="fn-backref" href="#id20">1</a>, <a class="fn-backref" href="#id21">2</a>, <a class="fn-backref" href="#id22">3</a>, <a class="fn-backref" href="#id26">4</a>, <a class="fn-backref" href="#id29">5</a>)</em> <p class="last">no small Greek, full Greek with <a class="reference internal" href="#omlmath">OMLmath*</a> options.</p>
+</dd>
+<dt class="label">7</dt>
+<dd id="digits">
+<em>(<a class="fn-backref" href="#id23">1</a>, <a class="fn-backref" href="#id24">2</a>, <a class="fn-backref" href="#id27">3</a>, <a class="fn-backref" href="#id28">4</a>)</em> <p class="last">Some italic math fonts (e. g., cmr, cmbr) have old-style
+numbers in place of italic digits.</p>
+</dd>
+<dt class="label"><a class="fn-backref" href="#id25">8</a></dt>
+<dd id="script">
+<p class="first last">no small Latin, formal script with <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/calrsfs.html">calrsfs</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/eucal.html">eucal</a>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fourier.html">fourier</a></p>
+</dd>
+</dl>
+</div>
+</div>
+<div class="section" id="the-unicode-math-package">
+<h3><a class="toc-backref" href="#id59"><span class="sectnum">4.3.2</span> The unicode-math package</a></h3>
+<p>Users of UTF-8 enabled TeX engines (XeTeX, LuaTeX) can typeset
+mathematics with the experimental <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a> package by Will
+Robertson. It provides a LaTeX interface to OpenType fonts with math
+support, e. g., <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/asana-math.html">Asana Math</a>, Cambria Math, <a class="reference external" href="https://github.com/khaledhosny/euler-otf">New Euler</a> or <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/xits.html">XITS</a>, with
+commands to access the complete mathematics character repertoire of the
+Unicode Standard</p>
+<p>LaTeX <a class="reference internal" href="#math-font-selection">math font selection</a> methods with unicode-math:</p>
+<dl class="docutils">
+<dt><a class="reference internal" href="#math-alphabets">math alphabets</a></dt>
+<dd><p>map to a range of the <a class="reference internal" href="#mathematical-alphanumeric-symbols">mathematical alphanumeric symbols</a> block in the
+current font (or a substitution defined with the <tt class="literal">range</tt> math font
+option).</p>
+<p>Some command names differ from the <a class="reference internal" href="#predefined-math-alphabets">predefined math alphabets</a> or the
+above <a class="reference internal" href="#naming-scheme">naming scheme</a>:</p>
+<table class="booktabs numbered align-left">
+<colgroup>
+<col width="50%" />
+<col width="50%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>LaTeX</p></th>
+<th class="head"><p>unicode-math</p></th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td><p><tt class="literal">\mathbf</tt></p></td>
+<td><p><tt class="literal">\mathbfup</tt></p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathsf</tt></p></td>
+<td><p><tt class="literal">\mathsfup</tt></p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathsfbf</tt></p></td>
+<td><p><tt class="literal">\mathbfsfup</tt></p></td>
+</tr>
+<tr><td><p><tt class="literal">\mathsfbfit</tt></p></td>
+<td><p><tt class="literal">\mathbfsfit</tt></p></td>
+</tr>
+</tbody>
+</table>
+<p>With unicode-math, <tt class="literal">\mathbf</tt>, <tt class="literal">\mathsf</tt>, and <tt class="literal">\mathsfbf</tt>
+behave similar to <a class="reference internal" href="#in-line-math-versions">“in-line math versions”</a>: they consider the
+<a class="reference internal" href="#math-style">math style</a> for upright vs. italic shape. Compatibility can be
+achieved via the options <tt class="literal"><span class="pre">bold-style=upright</span></tt> and
+<tt class="literal"><span class="pre">sans-style=upright</span></tt>.</p>
+<p><tt class="literal">\mathbfsfit</tt> reverses the order of the <tt class="literal">sf</tt> and <tt class="literal">bf</tt> selectors,
+so that, e. g., the Unicode character <cite>MATHEMATICAL SANS-SERIF BOLD
+ITALIC CAPITAL A</cite> is selected by the non-mnemonic <tt class="literal">\mathbfsfit{A}</tt>.</p>
+</dd>
+<dt><a class="reference internal" href="#math-versions">math versions</a></dt>
+<dd><p>are not directly supported but easy to emulate.</p>
+<p>As Unicode fonts can hold all math symbols in a single font file, a
+single <tt class="literal"><span class="pre">\setmathfont[&lt;font</span> <span class="pre">features&gt;]{&lt;font</span> name&gt;}</tt> can replace
+the <tt class="literal"><span class="pre">\mathversion{&lt;mathversion&gt;}</span></tt> command if a complete OpenType
+math font in the desired version is available.</p>
+<p>However, complete OpenType math fonts are rare. Therefore
+unicode-math supports using multiple fonts with the <tt class="literal">range</tt>
+option. This way one can emulate, e. g., the <tt class="literal">bold</tt> math version
+via:</p>
+<pre class="literal-block">\renewcommand{\boldmath}{%
+ \setmathfont{XITS Bold}%
+ \setmathfont[range={&quot;1D400-&quot;1F020}]{XITS Math}%
+ \setmathfont[range=\mathup-&gt;\mathbfup]{XITS Math}%
+ \setmathfont[range=\mathsfit-&gt;\mathbfsfit]{XITS Math}%
+ % ...
+}
+</pre>
+<p>It would be nice if unicode-math could provide a <tt class="literal">\newmathversion</tt>
+command similar to the <tt class="literal">\newfontfamily</tt> in <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fontspec.html">fontspec</a> for such setups.</p>
+<p>For alphanumerical characters, the <tt class="literal">\mathbf</tt>, <tt class="literal">\mathsf</tt>, and
+<tt class="literal">\mathsfbf</tt> behave like <a class="reference internal" href="#in-line-math-versions">“in-line math versions”</a>.</p>
+</dd>
+<dt><a class="reference internal" href="#math-styles">math styles</a></dt>
+<dd><p>are supported with the <tt class="literal"><span class="pre">math-style</span></tt> package option that accepts the
+values <tt class="literal">TeX</tt>, <tt class="literal">ISO</tt>, <tt class="literal">french</tt>, <tt class="literal">upright</tt>, and <tt class="literal">literal</tt>.</p>
+</dd>
+</dl>
+</div>
+</div>
+<div class="section" id="conclusions-and-outlook">
+<h2><a class="toc-backref" href="#id60"><span class="sectnum">4.4</span> Conclusions and outlook</a></h2>
+<p>It is hoped, that in the future more fonts families will support the
+OML encoding in normal and bold weight as well as upright and italic
+shape. This would be a major step towards a LaTeX equivalent of the
+<a class="reference internal" href="#mathematical-alphanumeric-symbols">mathematical alphanumeric symbols</a> Unicode block.</p>
+<p>This should be (relatively) easy to achieve via virtual fonts when the
+glyphs for the Greek letters already exist. Examples are Latin Modern,
+Kerkis, GFS Neohellenic, LX Fonts and KP-Serif.</p>
+<p>Alternatively, the T7 encoding could be used for math alphabets (if it
+ever happens to materialise).</p>
+<p>Upright small Greek letters in <tt class="literal">\mathrm</tt> would enable the
+specification of the constant pi, Myons, Pions, alpha-particles,
+photons, and neutrinos with <a class="reference internal" href="#math-alphabets">math alphabets</a>. (With <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a>
+fonts, this is already possible today.)</p>
+<p>With the development of the <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a> package, an interesting
+alternative for ISO-conforming math typesetting became available to
+users of Unicode-enabled TeX engines (XeTeX or LuaTeX).</p>
+</div>
+</div>
+<div class="section" id="references">
+<h1><a class="toc-backref" href="#id61"><span class="sectnum">5</span> References</a></h1>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id1">[ISO-80000-2]</a></dt>
+<dd id="iso-80000-2">
+<p class="first last"><cite>Quantities and units – Part 2: Mathematical signs
+and symbols to be used in the natural sciences and technology</cite>:
+<a class="reference external" href="http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=31887">http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=31887</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label">[ISO-31]</dt>
+<dd id="iso-31">
+<p class="first last"><cite>Quantities and units</cite>, Superseded by [ISO-80000].</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id2">[typefaces]</a></dt>
+<dd id="typefaces">
+<p class="first last">National Institute of Standards and Technology (<a class="reference external" href="http://physics.nist.gov/">NIST</a>),
+<cite>Typefaces for Symbols in Scientific Manuscripts</cite>:
+<a class="reference external" href="http://physics.nist.gov/cuu/pdf/typefaces.pdf">http://physics.nist.gov/cuu/pdf/typefaces.pdf</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id3">[checklist]</a></dt>
+<dd id="checklist">
+<p class="first last">National Institute of Standards and Technology (<a class="reference external" href="http://physics.nist.gov/">NIST</a>),
+<cite>SI Unit rules and style conventions</cite>
+Check List for Reviewing Manuscripts:
+<a class="reference external" href="http://physics.nist.gov/cuu/Units/checklist.html">http://physics.nist.gov/cuu/Units/checklist.html</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id5">[fonts_for_symbols]</a></dt>
+<dd id="fonts-for-symbols">
+<p class="first last">International Union of Pure and Applied
+Chemistry (<a class="reference external" href="http://iupac.org/">IUPAC</a>), <cite>On the use of italic and roman fonts for symbols
+in scientific text</cite>, (Revised December 1999):
+<a class="reference external" href="http://old.iupac.org/standing/idcns/fonts_for_symbols.html">http://old.iupac.org/standing/idcns/fonts_for_symbols.html</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id4">[SI]</a></dt>
+<dd id="si">
+<p class="first last">Bureau international des poids et mesures (<a class="reference external" href="http://www.bipm.org/">BIPM</a>),
+<cite>The International System of Units (SI)</cite>:
+<a class="reference external" href="http://www.bipm.org/en/si/si_brochure/">http://www.bipm.org/en/si/si_brochure/</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id7">[Green-Book]</a></dt>
+<dd id="green-book">
+<p class="first last">International Union of Pure and Applied Chemistry (<a class="reference external" href="http://iupac.org/">IUPAC</a>),
+<cite>Quantities, Units and Symbols in Physical Chemistry</cite>,
+3rd edition, RSC Publishing, Cambridge 2007:
+[ISBN 0 85404 433 7; ISBN-13 978 0 85404 433 7].</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id6">[Red-Book]</a></dt>
+<dd id="red-book">
+<p class="first last">International Union of Pure and Applied Physics (<a class="reference external" href="http://www.iupap.org/">IUPAP</a>),
+<cite>Symbols, Units, Nomenclature and Fundamental Constants in Physics</cite>:
+<a class="reference external" href="http://metrology.wordpress.com/measurement-process-index/iupap-red-book/index-iupap-red-book/">http://metrology.wordpress.com/measurement-process-index/iupap-red-book/index-iupap-red-book/</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id15">[encguide]</a></dt>
+<dd id="encguide">
+<p class="first last">Frank Mittelbach, Robin Fairbairns, Werner Lemberg,
+LaTeX3 Project Team, <cite>LaTeX font encodings</cite>:
+<a class="reference external" href="http://mirror.ctan.org/macros/latex/doc/encguide.pdf">http://mirror.ctan.org/macros/latex/doc/encguide.pdf</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label">[fntguide]</dt>
+<dd id="fntguide">
+<em>(<a class="fn-backref" href="#id10">1</a>, <a class="fn-backref" href="#id11">2</a>)</em> <p class="last">LaTeX3 Project Team, <cite>LaTeX 2e font selection</cite>:
+<a class="reference external" href="http://mirror.ctan.org/macros/latex/doc/fntguide.pdf">http://mirror.ctan.org/macros/latex/doc/fntguide.pdf</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label">[tr25]</dt>
+<dd id="tr25">
+<em>(<a class="fn-backref" href="#id16">1</a>, <a class="fn-backref" href="#id17">2</a>)</em> <p class="last">Barbara Beeton, Asmus Freytag, Murray Sargent III,
+<cite>Unicode Support for Mathematics</cite>, Unicode Technical Report #25:
+<a class="reference external" href="http://www.unicode.org/reports/tr25/">http://www.unicode.org/reports/tr25/</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label">[beeton:2000]</dt>
+<dd id="beeton-2000">
+<p class="first last">Barbara Beeton:
+<cite>Unicode and math, a combination whose time has come – Finally!</cite>,
+TUGBoat, 21#3, 2000:
+<a class="reference external" href="http://www.tug.org/TUGboat/Articles/tb21-3/tb68beet.pdf">http://www.tug.org/TUGboat/Articles/tb21-3/tb68beet.pdf</a>.</p>
+</dd>
+</dl>
+<!-- see also
+[koma-mail] Custom font substitution: http://www.komascript.de/node/823. -->
+<!-- Links
+===== -->
+</div>
+</div>
+</body>
+</html>
diff --git a/Master/texmf-dist/doc/latex/isomath/isomath.pdf b/Master/texmf-dist/doc/latex/isomath/isomath.pdf
index 161ef30edb6..b91d0a8ef3a 100644
--- a/Master/texmf-dist/doc/latex/isomath/isomath.pdf
+++ b/Master/texmf-dist/doc/latex/isomath/isomath.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/isomath/isomath.sty.html b/Master/texmf-dist/doc/latex/isomath/isomath.sty.html
index 8a9e5af86af..8d459c5d09e 100644
--- a/Master/texmf-dist/doc/latex/isomath/isomath.sty.html
+++ b/Master/texmf-dist/doc/latex/isomath/isomath.sty.html
@@ -1,6 +1,6 @@
<?xml version="1.0" encoding="utf-8" ?>
-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
-<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="generator" content="Docutils 0.8: http://docutils.sourceforge.net/" />
@@ -10,7 +10,7 @@
/*
:Author: David Goodger (goodger@python.org)
-:Id: $Id: html4css1.css 6387 2010-08-13 12:23:41Z milde $
+:Id: $Id: html4css1.css 6511 2011-01-03 14:49:11Z milde $
:Copyright: This stylesheet has been placed in the public domain.
Default cascading style sheet for the HTML output of Docutils.
@@ -190,7 +190,7 @@ img.align-center, .figure.align-center, object.align-center {
/* reset inner alignment in figures */
div.align-right {
- text-align: left }
+ text-align: inherit }
/* div.align-center * { */
/* text-align: left } */
@@ -341,8 +341,8 @@ body {
/* avoid long lines --> better reading */
/* OTOH: lines should not be too short because of missing hyphenation, */
div.document {
- max-width: 45em;
- margin: 0 auto;
+ max-width: 45em;
+ margin: auto;
}
/* separate items except for compact lists */
@@ -376,8 +376,7 @@ div.sidebar {
/* Special definition lists */
/* ======================== */
-/* start definition term on the same line as the label */
-
+/* bold definition term on the same line as the label */
dl.field-list > dt, dl.option-list > dt, dl.docinfo > dt,
dl.footnote > dt, dl.citation > dt, dl.description > dt {
clear: left;
@@ -385,31 +384,27 @@ dl.footnote > dt, dl.citation > dt, dl.description > dt {
margin: 0;
padding: 0;
padding-right: 0.5em;
-/* background: yellow; */
-}
-
-/* Definition list with the layout of a LaTeX `description` list */
-/* (bold label, continue on same line) */
-dl.description > dt {
font-weight: bold;
}
+/* except for these */
+dl.option-list > dt, dl.footnote > dt {
+ font-weight: normal;
+}
+
+
/* Field Lists */
/* ----------- */
-/* field names: bold, followed by a colon */
-dl.field-list > dt, dl.docinfo > dt {
- font-weight: bold;
-}
+/* field names followed by a colon */
dl.field-list > dt:after, dl.docinfo > dt:after {
content: ":";
}
/* Offset for field content (corresponds to the --field-name-limit option) */
dl.field-list > dd {
- margin-left: 8.5em;
+ margin-left: 9em; /* ca. 14 chars in the test examples */
padding-left: 0.5em;
-/* background: yellow; */
}
/* start field-body on a new line after long field names */
@@ -420,8 +415,8 @@ dl.field-list > dd p {
}
dl.field-list > dd > p:first-child,
-dl.field-list > dd > ol:first-child,
-dl.field-list > dd > ul:first-child,
+/* dl.field-list > dd > ol:first-child, */
+/* dl.field-list > dd > ul:first-child, */
dl.field-list > dd > dl:first-child {
display: inline-block;
}
@@ -452,16 +447,12 @@ dl.field-list.fix-labelwidth > dd:after {
/* docinfo */
-dl.docinfo {
- margin: 2em 2em; /* setting from html4css1.css */
- padding-left: 0;
-}
-
dl.docinfo > dd {
margin-left: 8em;
/* margin-bottom: 0.5em; */
}
+
/* option list */
dl.option-list {
@@ -486,7 +477,7 @@ a.footnote-reference, a.fn-backref {
text-decoration: inherit; /* do not underline footnote links */
}
-dl.footnote, dl.citation {
+dl.footnote {
/* line on the left */
padding-left: 1ex;
border-left: solid;
@@ -494,8 +485,15 @@ dl.footnote, dl.citation {
/* border-color: black; */
}
+/* paragraph on same line as backrefs */
+dd > em {
+/* background: green; */
+ float: left;
+ margin-right: 1ex
+}
+
-/*
+/*
Ordered List (Enumeration)
--------------------------
@@ -512,7 +510,6 @@ ol {
/* Set the negative indent of the list label as feature of the list item */
ol > li {
text-indent: -40px; /* Mozillas default indent */
- margin-bottom: 1em;
}
/* Label */
@@ -573,96 +570,120 @@ ol.nested > li:before, ol.nested ol > li:before {
/* smaller font for super- and subscripts */
/* sub, sup {font-size: 70%;} */ /* Mozilla default is `smaller` */
-/* unordered lists */
-/* --------------- */
-
-/* drop bullets from Table of Contents */
-/* div.topic.contents ul { */
-/* list-style: none; */
-/* } */
/* Tables */
-/* ------ */
+/* ====== */
/* borders for "normal" tables */
-table.table {
+table {
+ margin-top: 0.5em ;
+ margin-bottom: 0.5em;
border-style: outset;
border-width: thin;
+ /* border-collapse: collapse; */
}
-table.table td, table.table th {
+td, th {
border-style: inset;
border-width: thin;
+ /* text-align: left; */
+ padding: 0 1ex;
+}
+
+td > p:first-child, th > p:first-child {
+ margin-top: 0;
+}
+td > p, th > p {
+ margin-bottom: 0;
}
/* no borders for "borderless" tables */
-table.table.borderless, table.table.borderless * {
+table.borderless, table.borderless * {
border-style: none;
}
+/* "booktabs" style (no vertical lines) */
+table.booktabs {
+ border: 0;
+ border-top: 2px solid;
+ border-bottom: 2px solid;
+ border-collapse: collapse;
+}
+
+table.booktabs * {
+ border: 0;
+}
+table.booktabs th {
+ border-bottom: thin solid;
+}
+
+table > caption {
+ text-align: left;
+/* padding: 2em 0 1em 0; */
+}
+
/* numbered tables and figures*/
body {
counter-reset: table;
- counter-reset: figure;
+/* counter-reset: figure; */
}
table.numbered > caption:before {
counter-increment: table;
- content: "table " counter(table) ": ";
+ content: "Table " counter(table) ": ";
font-weight: bold;
}
-
-table > caption {
- text-align: left;
- padding: 2em 0 1em 0;
-}
-
/* whitespace and line-wrapping in inline literals
-----------------------------------------------
*/
/* possible values: normal, nowrap, pre, pre-wrap, pre-line */
-tt.docutils.literal {
+tt.literal {
white-space: pre-wrap;
}
+
+/* Table of Contents */
+
+/* don't indent like a topic */
+div.topic.contents {
+ margin: 0;
+}
+/* div.topic.contents ul { */
+/* list-style: none; */
+/* } */
+
+div.topic.contents a {
+ text-decoration: none; /* no underline for links */
+}
+
+/* section numbers */
+
+span.sectnum {
+ padding-right: 1ex;
+}
+
+/* admonitions */
+
+/* no padding for top and bottom */
+div.admonition, div.attention, div.caution, div.danger, div.error,
+div.hint, div.important, div.note, div.tip, div.warning {
+ padding: 0px 1em }
+
</style>
<style type="text/css">
-/*
-:Author: Guenter Milde
+/* Stylesheet for isomath documentation
:Copyright: 2008 G. Milde
This stylesheet is released under the GPL v. 2
-
-Stylesheet for the Math Fonts Overview "Matheschriften"
*/
-/* deutsche Tabellenbeschriftung */
-/* table.numbered > caption:before { */
-/* content: "Tabelle " counter(table) ": "; */
-/* } */
-
-/* booktabs Style */
-table.booktabs, table.booktabs td, table.booktabs th {
- border: 0 }
-table.booktabs {
- border-top: 2px solid;
- border-bottom: 2px solid;
-}
-table.booktabs th {
- border-bottom: 1px solid;
-}
-
-dl.docutils dt {
- font-weight: bold;
-}
+dl.docutils dt { font-weight: bold; }
/* docinfo */
-dl.docinfo > dt {
- display: none;
-}
+dl.docinfo > dt { display: none; }
dl.docinfo > dd {
margin-left: 0;
padding: 0 5%;
@@ -672,7 +693,6 @@ dl.docinfo > dt.author + dd {
text-align: center;
padding-bottom: 1em;
}
-
dt.date {
display: none;
}
@@ -691,17 +711,53 @@ a.reference.internal {
color: darkblue;
}
-/* +/- Listen mit field-list */
-dl.field-list > dt {
- font-family: monospace;
+a.reference.external {
+ text-decoration: underline;
}
+
+/* a.reference.external:after { */
+/* content: "⎘"; */
+/* font-size: x-small; */
+/* vertical-align: super; */
+/* } */
+
+dl.field-list {
+ margin-left: 2em;
+}
dl.field-list > dt:after {
content: ""; /* drop trailing ':' */
}
-/* Offset for field content (corresponds to the --field-name-limit option) */
-dl.field-list > dd {
- margin-left: 1em;
- padding-left: 0.5em;
+
+dl.footnote > dd {
+ margin-left: 1.2em;
+}
+dl.footnote > dt {
+ font-size: small;
+ vertical-align: super;
+}
+
+a.footnote-reference > sup {
+ font-size: small;
+ vertical-align: super;
+ }
+
+td, th {
+ padding-bottom: 0.1ex;
+ padding-top: 0.1ex;
+}
+
+em.bfit {
+ font-weight: bold;
+ font-family: serif;
+}
+em.sfbfit {
+ font-weight: bold;
+ font-family: sans-serif;
+}
+
+/* no borders for "borderless" tables */
+table.booktabs.borderless, table.booktabs.borderless * {
+ border-style: none;
}
</style>
@@ -712,16 +768,16 @@ dl.field-list > dd {
<dl class="docinfo">
<dt class="copyright">Copyright</dt>
-<dd>© 2008, 2010 Günter Milde</dd>
+<dd class="copyright">© 2008, 2010 Günter Milde</dd>
<dt>Licence</dt>
-<dd>This work may be distributed and/or modified under the
+<dd><p>This work may be distributed and/or modified under the
conditions of the <a class="reference external" href="http://www.latex-project.org/lppl.txt">LaTeX Project Public License</a>, either
-version&nbsp;1.3 of this license or (at your option) any later version.</dd>
+version&nbsp;1.3 of this license or (at your option) any later version.</p>
+</dd>
<dt>Identification</dt>
-<dd><pre class="literal-block">
-\NeedsTeXFormat{LaTeX2e}
+<dd><pre class="literal-block">\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{isomath}
-[2010/08/23 v0.4 math according to ISO 31]
+[2011/02/01 v0.5 ISO math style]
</pre>
</dd>
</dl>
@@ -730,359 +786,389 @@ version&nbsp;1.3 of this license or (at your option) any later version.</dd>
<p>The <cite>isomath</cite> package enables formatting Greek and Latin
letters as symbols for vectors, matrices, and tensors
in the typefaces recommended for scientific papers
-by the International Standard ISO 31.</p>
+by the International Standard ISO&nbsp;80000-2.</p>
+</div>
+<div class="contents topic" id="contents">
+<p class="topic-title first">Contents</p>
+<ul class="simple">
+<li><p><a class="reference internal" href="#history" id="id3">History</a></p></li>
+<li><p><a class="reference internal" href="#requirements" id="id4">Requirements</a></p>
+<ul>
+<li><p><a class="reference internal" href="#fixmath-sty" id="id5">fixmath.sty</a></p></li>
+<li><p><a class="reference internal" href="#kvoptions-sty" id="id6">kvoptions.sty</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#options" id="id7">Options</a></p>
+<ul>
+<li><p><a class="reference internal" href="#rmdefault" id="id8">rmdefault</a></p></li>
+<li><p><a class="reference internal" href="#sfdefault" id="id9">sfdefault</a></p></li>
+<li><p><a class="reference internal" href="#scaled" id="id10">scaled</a></p></li>
+<li><p><a class="reference internal" href="#reusemathalphabets" id="id11">reuseMathAlphabets</a></p></li>
+<li><p><a class="reference internal" href="#omlmath" id="id12">OMLmath*</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#declarations" id="id13">Declarations</a></p>
+<ul>
+<li><p><a class="reference internal" href="#math-alphabets" id="id14">Math alphabets</a></p>
+<ul>
+<li><p><a class="reference internal" href="#mathbfit" id="id15">mathbfit</a></p></li>
+<li><p><a class="reference internal" href="#mathsfit" id="id16">mathsfit</a></p></li>
+<li><p><a class="reference internal" href="#mathsfbfit" id="id17">mathsfbfit</a></p></li>
+<li><p><a class="reference internal" href="#redefine-standard-alphabets" id="id18">Redefine standard alphabets</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#command-aliases" id="id19">Command aliases</a></p>
+<ul>
+<li><p><a class="reference internal" href="#vectorsym" id="id20">\vectorsym</a></p></li>
+<li><p><a class="reference internal" href="#matrixsym" id="id21">\matrixsym</a></p></li>
+<li><p><a class="reference internal" href="#tensorsym" id="id22">\tensorsym</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#font-mappings" id="id23">Font mappings</a></p>
+<ul>
+<li><p><a class="reference internal" href="#common-family-name-for-text-and-math" id="id24">Common family name for text and math</a></p></li>
+<li><p><a class="reference internal" href="#scaling" id="id25">Scaling</a></p></li>
+</ul>
+</li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#references" id="id26">References</a></p></li>
+</ul>
</div>
<div class="section" id="history">
-<h1><a class="toc-backref" href="#id1">History</a></h1>
-<table class="borderless borderless numbered align-left">
+<h1><a class="toc-backref" href="#id3">History</a></h1>
+<table class="borderless booktabs numbered align-left">
<colgroup>
<col width="4%" />
<col width="17%" />
<col width="79%" />
</colgroup>
<tbody valign="top">
-<tr><td>0.1</td>
-<td>2008-09-25</td>
-<td>first public version.</td>
+<tr><td><p>0.1</p></td>
+<td><p>2008-09-25</p></td>
+<td><p>first public version.</p></td>
</tr>
-<tr><td>0.2</td>
-<td>2008-10-02</td>
-<td>bugfix: a usage example was uncommented;</td>
+<tr><td><p>0.2</p></td>
+<td><p>2008-10-02</p></td>
+<td><p>bugfix: a usage example was uncommented;</p></td>
+</tr>
+<tr><td><p></p></td>
+<td>&nbsp;</td>
+<td><p>updated documentation;</p></td>
+</tr>
+<tr><td><p></p></td>
+<td>&nbsp;</td>
+<td><p>define mathsans only if OMLmathsans is true;</p></td>
</tr>
-<tr><td></td>
+<tr><td><p></p></td>
<td>&nbsp;</td>
-<td>updated documentation;</td>
+<td><p>option reuseMathalphabets -&gt; reuseMathAlphabets.</p></td>
</tr>
-<tr><td></td>
+<tr><td><p>0.3</p></td>
+<td><p>2009-06-19</p></td>
+<td><p>documentation update;</p></td>
+</tr>
+<tr><td><p></p></td>
<td>&nbsp;</td>
-<td>define mathsans only if OMLmathsans is true;</td>
+<td><p>fix OMLmathrm and OMLmathsans definitions;</p></td>
</tr>
-<tr><td></td>
+<tr><td><p></p></td>
<td>&nbsp;</td>
-<td>option reuseMathalphabets -&gt; reuseMathAlphabets.</td>
+<td><p>switch license to LPP.</p></td>
</tr>
-<tr><td>0.3</td>
-<td>2009-06-19</td>
-<td>documentation update;</td>
+<tr><td><p>0.4</p></td>
+<td><p>2010-08-23</p></td>
+<td><p>split user documentation from literate source;</p></td>
</tr>
-<tr><td></td>
+<tr><td><p></p></td>
<td>&nbsp;</td>
-<td>fix OMLmathrm and OMLmathsans definitions;</td>
+<td><p>option <tt class="literal">scaled</tt>;</p></td>
</tr>
-<tr><td></td>
+<tr><td><p></p></td>
<td>&nbsp;</td>
-<td>switch license to LPP.</td>
+<td><p>documentation update.</p></td>
+</tr>
+<tr><td><p>0.5</p></td>
+<td><p>2011-01-04</p></td>
+<td><p>math alphabet names matching Unicode;</p></td>
</tr>
-<tr><td>0.4</td>
-<td>2010-08-23</td>
-<td>split user documentation from literate source;</td>
+<tr><td><p></p></td>
+<td>&nbsp;</td>
+<td><p>documentation review and extension;</p></td>
</tr>
-<tr><td></td>
+<tr><td><p></p></td>
<td>&nbsp;</td>
-<td>option <tt class="docutils literal">scaled</tt>;</td>
+<td><p>bold alphabet variants in <tt class="literal">bold</tt> math version;</p></td>
</tr>
-<tr><td></td>
+<tr><td><p></p></td>
<td>&nbsp;</td>
-<td>documentation update.</td>
+<td><p>upright numbers with <tt class="literal">\vectorsym</tt>.</p></td>
</tr>
</tbody>
</table>
-<div class="contents topic" id="contents">
-<p class="topic-title first">Contents</p>
-<ul class="simple">
-<li><a class="reference internal" href="#history" id="id1">History</a></li>
-<li><a class="reference internal" href="#requirements" id="id2">Requirements</a><ul>
-<li><a class="reference internal" href="#fixmath-sty" id="id3">fixmath.sty</a></li>
-<li><a class="reference internal" href="#kvoptions-sty" id="id4">kvoptions.sty</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#options" id="id5">Options</a><ul>
-<li><a class="reference internal" href="#rmdefault" id="id6">rmdefault</a></li>
-<li><a class="reference internal" href="#sfdefault" id="id7">sfdefault</a></li>
-<li><a class="reference internal" href="#scaled" id="id8">scaled</a></li>
-<li><a class="reference internal" href="#reusemathalphabets" id="id9">reuseMathAlphabets</a></li>
-<li><a class="reference internal" href="#omlmath" id="id10">OMLmath*</a></li>
-<li><a class="reference internal" href="#process-options" id="id11">Process Options</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#declarations" id="id12">Declarations</a><ul>
-<li><a class="reference internal" href="#math-alphabets" id="id13">Math alphabets</a><ul>
-<li><a class="reference internal" href="#mathbold" id="id14">mathbold</a></li>
-<li><a class="reference internal" href="#mathsans" id="id15">mathsans</a></li>
-<li><a class="reference internal" href="#mathboldsans" id="id16">mathboldsans</a></li>
-<li><a class="reference internal" href="#redefine-standard-alphabets" id="id17">Redefine standard alphabets</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#command-aliases" id="id18">Command aliases</a><ul>
-<li><a class="reference internal" href="#vectorsym" id="id19">\vectorsym</a></li>
-<li><a class="reference internal" href="#matrixsym" id="id20">\matrixsym</a></li>
-<li><a class="reference internal" href="#tensorsym" id="id21">\tensorsym</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#font-mappings" id="id22">Font mappings</a><ul>
-<li><a class="reference internal" href="#scaling" id="id23">Scaling</a></li>
-</ul>
-</li>
-</ul>
-</li>
-</ul>
-</div>
</div>
<div class="section" id="requirements">
-<h1><a class="toc-backref" href="#id2">Requirements</a></h1>
+<h1><a class="toc-backref" href="#id4">Requirements</a></h1>
<div class="section" id="fixmath-sty">
-<h2><a class="toc-backref" href="#id3">fixmath.sty</a></h2>
-<p>The package <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html">fixmath</a> by Walter Schmidt defines Greek letters as symbols
-of type <tt class="docutils literal">\mathalpha</tt> and takes them from the <tt class="docutils literal">letters</tt> SymbolFont in
-<tt class="docutils literal">\mathnormal</tt> (as opposed to <tt class="docutils literal">operators</tt> in <tt class="docutils literal">fontmath.ltx</tt>).</p>
-<p><a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html">fixmath</a> also defines the <tt class="docutils literal">\mathbold</tt> alphabet, setting it to <tt class="docutils literal">cmm</tt>.
+<h2><a class="toc-backref" href="#id5">fixmath.sty</a></h2>
+<p>The package <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a> by Walter Schmidt defines Greek letters as symbols
+of type <tt class="literal">\mathalpha</tt> and takes them from the <tt class="literal">letters</tt> SymbolFont in
+<tt class="literal">\mathnormal</tt> (as opposed to <tt class="literal">operators</tt> in <tt class="literal">fontmath.ltx</tt>).</p>
+<p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a> also defines the <tt class="literal">\mathbold</tt> alphabet, setting it to <tt class="literal">cmm</tt>.
This definition will be overwritten with a configurable value for
the font family below.</p>
-<pre class="literal-block">
-\RequirePackage{fixmath}
+<pre class="literal-block">\RequirePackage{fixmath}
</pre>
</div>
<div class="section" id="kvoptions-sty">
-<h2><a class="toc-backref" href="#id4">kvoptions.sty</a></h2>
-<p>The <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/kvoptions.html">kvoptions</a> package in the <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/oberdiek.html">oberdiek</a> bundle facilitates the setup of
-package options and provides a key=value interface (based on <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/keyval.html">keyval</a>):</p>
-<pre class="literal-block">
-\RequirePackage{kvoptions}
+<h2><a class="toc-backref" href="#id6">kvoptions.sty</a></h2>
+<p>The <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kvoptions.html">kvoptions</a> package in the <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/oberdiek.html">oberdiek</a> bundle facilitates the setup of
+package options and provides a key=value interface (based on <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/keyval.html">keyval</a>):</p>
+<pre class="literal-block">\RequirePackage{kvoptions}
</pre>
</div>
</div>
<div class="section" id="options">
-<h1><a class="toc-backref" href="#id5">Options</a></h1>
+<h1><a class="toc-backref" href="#id7">Options</a></h1>
<div class="section" id="rmdefault">
-<h2><a class="toc-backref" href="#id6">rmdefault</a></h2>
+<h2><a class="toc-backref" href="#id8">rmdefault</a></h2>
<p>Family for roman math fonts. Must be available in OML
encoding. The default is to use the corresponding text font family
-(<tt class="docutils literal">\rmdefault</tt>).</p>
-<pre class="literal-block">
-\DeclareStringOption[\rmdefault]{rmdefault}
+(<tt class="literal">\rmdefault</tt>).</p>
+<pre class="literal-block">\DeclareStringOption[\rmdefault]{rmdefault}
</pre>
</div>
<div class="section" id="sfdefault">
-<h2><a class="toc-backref" href="#id7">sfdefault</a></h2>
+<h2><a class="toc-backref" href="#id9">sfdefault</a></h2>
<p>Family for sans-serif math fonts. The default selects <cite>CM Bright</cite>, as
most sans serif fonts are not available in OML encoding:</p>
-<pre class="literal-block">
-\DeclareStringOption[cmbr]{sfdefault}
+<pre class="literal-block">\DeclareStringOption[cmbr]{sfdefault}
</pre>
</div>
<div class="section" id="scaled">
-<h2><a class="toc-backref" href="#id8">scaled</a></h2>
-<p>The sans-serif fonts, <tt class="docutils literal">fav</tt> (Arev), <tt class="docutils literal">llcmss</tt> (LX Fonts), and
-<tt class="docutils literal">iwona</tt> can be scaled with the <tt class="docutils literal">scaled</tt> option.</p>
-<pre class="literal-block">
-\DeclareStringOption[1.0]{scaled}
-% Use a key definition like in inconsolata.sty (cf. also helvet.sty)?
-% \define&#64;key{isomath}{scaled}[1.0]{\def\isomath&#64;scaled{s*[#1]}}
+<h2><a class="toc-backref" href="#id10">scaled</a></h2>
+<p>The sans-serif fonts, <tt class="literal">fav</tt> (Arev), <tt class="literal">llcmss</tt> (LX Fonts), and
+<tt class="literal">iwona</tt> can be scaled with the <tt class="literal">scaled</tt> option.</p>
+<pre class="literal-block">\DeclareStringOption[1.0]{scaled}
</pre>
</div>
<div class="section" id="reusemathalphabets">
-<h2><a class="toc-backref" href="#id9">reuseMathAlphabets</a></h2>
+<h2><a class="toc-backref" href="#id11">reuseMathAlphabets</a></h2>
<p>The definition of new <a class="reference internal" href="#math-alphabets">math alphabets</a> can lead to a “too many math
alphabets used in version normal” error.</p>
<p>As a workaround, this option tells <cite>isomath</cite> to re-use the existing
-<tt class="docutils literal">\mathbf</tt> and <tt class="docutils literal">\mathsf</tt> alphabets for <em>italic</em> bold and sans-serif
+<tt class="literal">\mathbf</tt> and <tt class="literal">\mathsf</tt> alphabets for <em>italic</em> bold and sans-serif
bold.</p>
-<pre class="literal-block">
-\DeclareBoolOption{reuseMathAlphabets}
+<pre class="literal-block">\DeclareBoolOption{reuseMathAlphabets}
</pre>
</div>
<div class="section" id="omlmath">
-<h2><a class="toc-backref" href="#id10">OMLmath*</a></h2>
+<h2><a class="toc-backref" href="#id12">OMLmath*</a></h2>
<p>The following options cause <cite>isomath</cite> to (re)define the corresponding
<a class="reference internal" href="#math-alphabets">math alphabets</a> in OML encoding:</p>
-<pre class="literal-block">
-\DeclareBoolOption{OMLmathrm}
+<pre class="literal-block">\DeclareBoolOption{OMLmathrm}
\DeclareBoolOption{OMLmathbf}
\DeclareBoolOption{OMLmathsf}
-\DeclareBoolOption{OMLmathsans}
+\DeclareBoolOption{OMLmathsfit}
\DeclareBoolOption{OMLmathtt}
+% backwards compatibility option alias
+\DeclareVoidOption{OMLmathsans}{\isomath&#64;OMLmathsfittrue}
</pre>
<p>Setting these options enables access to small Greek letters in
-different shapes with e.g. <tt class="docutils literal">\mathrm{\pi}</tt> <strong>if an OML encoded font
-is available</strong>. Currently, only the <a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/mathdesign.html">mathdesign</a> fonts support roman in
+different shapes with e.g. <tt class="literal"><span class="pre">\mathrm{\pi}</span></tt> <em>if an OML encoded font
+is available</em>. Currently, only the <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a> fonts support roman in
OML encoding.</p>
<p>With some packages, these options can result in a “too many math alphabets
used in version normal” error.</p>
-</div>
-<div class="section" id="process-options">
-<h2><a class="toc-backref" href="#id11">Process Options</a></h2>
-<p>Process the options with <tt class="docutils literal">kvoptions</tt> extensions:</p>
-<pre class="literal-block">
-\ProcessKeyvalOptions*
+<hr class="docutils" />
+<p>Process the options with <tt class="literal">kvoptions</tt> extensions:</p>
+<pre class="literal-block">\ProcessKeyvalOptions*
</pre>
</div>
</div>
<div class="section" id="declarations">
-<h1><a class="toc-backref" href="#id12">Declarations</a></h1>
+<h1><a class="toc-backref" href="#id13">Declarations</a></h1>
<div class="section" id="math-alphabets">
-<h2><a class="toc-backref" href="#id13">Math alphabets</a></h2>
+<h2><a class="toc-backref" href="#id14">Math alphabets</a></h2>
<p>In math, LaTeX uses “absolute” fontnames instead of a selection by
family, shape, and weight because typefaces have a semantic meaning
-(see <a class="reference external" href="http://dante.ctan.org/CTAN/macros/latex/doc/fntguide.pdf">fntguide</a>).</p>
+<a class="citation-reference" href="#fntguide" id="id1">[fntguide]</a>.</p>
<p><cite>isomath</cite> defines a math alphabet for every required font variant and
optionally re-defines the standard math alphabets in <cite>OML</cite> font encoding.</p>
<p>Unfortunately, the number of math alphabets in one math version is
limited to 16, so we have to be carefull not to exceed this. The
-<tt class="docutils literal">reuseMathAlphabets</tt> option reduces this number by two, with the
-side effect of italic shape with <tt class="docutils literal">\mathbf</tt> and <tt class="docutils literal">\mathsf</tt> commands:</p>
-<pre class="literal-block">
-\ifisomath&#64;reuseMathAlphabets
+<tt class="literal">reuseMathAlphabets</tt> option reduces the number of math alphabet
+definitions by two, with the side effect of italic shape with
+<tt class="literal">\mathbf</tt> and <tt class="literal">\mathsf</tt> commands:</p>
+<pre class="literal-block">\ifisomath&#64;reuseMathAlphabets
\PackageWarningNoLine{isomath}{%
- Re-using math alphabet `mathsf' for \protect \mathboldsans
- \MessageBreak and `mathbf' for \protect \mathbold
+ Re-using math alphabet `mathsf' for \protect \mathsfbfit
+ \MessageBreak and `mathbf' for \protect \mathbfit
}
\fi
</pre>
-<div class="section" id="mathbold">
-<h3><a class="toc-backref" href="#id14">mathbold</a></h3>
-<p>The <em>italic bold</em> math alphabet is named <tt class="docutils literal">\mathbold</tt> like in
-<a class="reference external" href="http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html">fixmath</a> and related packages. With the <a class="reference internal" href="#reusemathalphabets">reuseMathAlphabets</a> option,
-the roman bold math alphabet <tt class="docutils literal">\mathbf</tt> is redefined and
-<tt class="docutils literal">\mathbold</tt> made an alias (overwriting existing definitions):</p>
-<pre class="literal-block">
-\ifisomath&#64;reuseMathAlphabets
+<div class="section" id="mathbfit">
+<h3><a class="toc-backref" href="#id15">mathbfit</a></h3>
+<p>The <em>bold italic</em> math alphabet is named <tt class="literal">\mathbfit</tt> like in
+<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a> (with an alias <tt class="literal">\mathbold</tt> like in <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a> and
+related packages). With the <a class="reference internal" href="#reusemathalphabets">reuseMathAlphabets</a> option, the roman bold
+math alphabet <tt class="literal">\mathbf</tt> is redefined and <tt class="literal">\mathbfit</tt> made an
+alias. The series selector <tt class="literal">bx</tt> (bold extended) is used, because it
+is better supported than <tt class="literal">b</tt>. (Is there any LaTeX math font
+distinguishing between <tt class="literal">b</tt> and <tt class="literal">bx</tt>?)</p>
+<pre class="literal-block">\ifisomath&#64;reuseMathAlphabets
\DeclareMathAlphabet{\mathbf}{OML}{\isomath&#64;rmdefault}{bx}{it}
- \def\mathbold{\mathbf}
+ \def\mathbfit{\mathbf}
\else
- \DeclareMathAlphabet{\mathbold}{OML}{\isomath&#64;rmdefault}{bx}{it}
+ \DeclareMathAlphabet{\mathbfit}{OML}{\isomath&#64;rmdefault}{bx}{it}
\fi
</pre>
+<p>alias (overwriting the definition from fixmath):</p>
+<pre class="literal-block">\renewcommand{\mathbold}{\mathbfit}
+</pre>
</div>
-<div class="section" id="mathsans">
-<h3><a class="toc-backref" href="#id15">mathsans</a></h3>
-<p>For <em>italic sans-serif</em>, we define a new alphabet named <tt class="docutils literal">\mathsans</tt> (in
-analogy to <tt class="docutils literal">\mathbold</tt>). As this typeface is not required by ISO 31, it
-is only defined if the <tt class="docutils literal">OMLmathsans</tt> option is set:</p>
-<pre class="literal-block">
-\ifisomath&#64;OMLmathsans
- \DeclareMathAlphabet{\mathsans}{OML}{\isomath&#64;sfdefault}{m}{it}
+<div class="section" id="mathsfit">
+<h3><a class="toc-backref" href="#id16">mathsfit</a></h3>
+<p>For <em>sans-serif italic</em>, we define a new alphabet <tt class="literal">\mathsfit</tt> (with
+the alias <tt class="literal">\mathsans</tt> in analogy to <tt class="literal">\mathbold</tt>). As this typeface
+is not required by ISO 80000-2 and TeX limits the number of math alphabets
+to 16 per math version, it is only defined if the <tt class="literal">OMLmathsfit</tt> or
+<tt class="literal">OMLmathsans</tt> option is set:</p>
+<pre class="literal-block">\ifisomath&#64;OMLmathsfit
+ \DeclareMathAlphabet{\mathsfit}{OML}{\isomath&#64;sfdefault}{m}{it}
+ \SetMathAlphabet{\mathsfit}{bold}{OML}{\isomath&#64;sfdefault}{bx}{it}
+ \def\mathsans{\mathsfit}
\fi
</pre>
</div>
-<div class="section" id="mathboldsans">
-<h3><a class="toc-backref" href="#id16">mathboldsans</a></h3>
-<p>A <em>sans serif slanted bold</em> alphabet is needed for tensor symbols.
+<div class="section" id="mathsfbfit">
+<h3><a class="toc-backref" href="#id17">mathsfbfit</a></h3>
+<p>The <em>sans serif bold italic</em> alphabet is used for tensor symbols.
+Following the Unicode math name scheme it is called
+<tt class="literal"><span class="pre">\mathsfbfit``(with</span> the backwards compatibility alias <span class="pre">``\mathboldsans</span></tt>).
With the <a class="reference internal" href="#reusemathalphabets">reuseMathAlphabets</a> option, the upright sans serif math
-alphabet <tt class="docutils literal">\mathsf</tt> is redefined and <tt class="docutils literal">\mathboldsans</tt> made an
-alias:</p>
-<pre class="literal-block">
-\ifisomath&#64;reuseMathAlphabets
+alphabet <tt class="literal">\mathsf</tt> is redefined and <tt class="literal">\mathsfbfit</tt> made an
+alias to it:</p>
+<pre class="literal-block">\ifisomath&#64;reuseMathAlphabets
\DeclareMathAlphabet{\mathsf}{OML}{\isomath&#64;sfdefault}{bx}{it}
- \def\mathboldsans{\mathsf}
+ \def\mathsfbfit{\mathsf}
\else
- \DeclareMathAlphabet{\mathboldsans}{OML}{\isomath&#64;sfdefault}{bx}{it}
+ \DeclareMathAlphabet{\mathsfbfit}{OML}{\isomath&#64;sfdefault}{bx}{it}
\fi
+\def\mathboldsans{\mathsfbfit}
</pre>
</div>
<div class="section" id="redefine-standard-alphabets">
-<h3><a class="toc-backref" href="#id17">Redefine standard alphabets</a></h3>
+<h3><a class="toc-backref" href="#id18">Redefine standard alphabets</a></h3>
<p>Redefine standard alphabets in <cite>OML</cite> font encoding
if the corresponding <a class="reference internal" href="#omlmath">OMLmath*</a> option is true:</p>
-<pre class="literal-block">
-\ifisomath&#64;OMLmathrm
+<pre class="literal-block">\ifisomath&#64;OMLmathrm
\SetMathAlphabet{\mathrm}{normal}{OML}{\isomath&#64;rmdefault}{m}{n}
+ \SetMathAlphabet{\mathrm}{bold}{OML}{\isomath&#64;rmdefault}{bx}{n}
\fi
\ifisomath&#64;OMLmathbf
- \SetMathAlphabet{\mathbf}{normal}{OML}{\isomath&#64;rmdefault}{b}{n}
+ \SetMathAlphabet{\mathbf}{normal}{OML}{\isomath&#64;rmdefault}{bx}{n}
\fi
\ifisomath&#64;OMLmathsf
\SetMathAlphabet{\mathsf}{normal}{OML}{\isomath&#64;sfdefault}{m}{n}
+ \SetMathAlphabet{\mathsf}{bold}{OML}{\isomath&#64;sfdefault}{bx}{n}
\fi
\ifisomath&#64;OMLmathtt
\SetMathAlphabet{\mathtt}{normal}{OML}{\ttdefault}{m}{n}
+ \SetMathAlphabet{\mathtt}{bold}{OML}{\ttdefault}{bx}{n}
\fi
</pre>
</div>
</div>
<div class="section" id="command-aliases">
-<h2><a class="toc-backref" href="#id18">Command aliases</a></h2>
+<h2><a class="toc-backref" href="#id19">Command aliases</a></h2>
<p>The following macros allow semantic markup of mathematical symbols.
-The argument is typeset as proposed by ISO 31 and
-<a class="reference external" href="http://physics.nist.gov/Document/typefaces.pdf">Typefaces for Symbols in Scientific Manuscripts</a>.</p>
+The argument is typeset as proposed by ISO 80000-2 and
+<a class="reference external" href="http://physics.nist.gov/cuu/pdf/typefaces.pdf">Typefaces for Symbols in Scientific Manuscripts</a>.</p>
<div class="section" id="vectorsym">
-<h3><a class="toc-backref" href="#id19">\vectorsym</a></h3>
-<p>Symbols for vectors are typeset <em>boldface italic</em>:</p>
-<pre class="literal-block">
-\newcommand{\vectorsym}{\mathbold}
+<h3><a class="toc-backref" href="#id20">\vectorsym</a></h3>
+<p>Alphabetic vectors symbols are typeset <em>boldface italic</em> while numeric
+ones (e.g. zero vector) are typeset <em>boldface upright</em>. The number
+test is a simplified version from the LaTeX FAQ
+<a class="reference external" href="http://mail.tug.org/texlive/Contents/live/texmf-dist/doc/generic/FAQ-en/html/FAQ-isitanum.html">Is the argument a number?</a>
+It fails if a number is followed by a non-number, e.g. <tt class="literal">\vectorsym{1a}</tt>,
+but this is no valid vector symbol and would look strange with the
+<tt class="literal">\vec</tt> accent, too.</p>
+<pre class="literal-block">\providecommand*{\vectorsym}[1]{%
+ \ifnum9&lt;1#1%
+ \mathbf{#1}%
+ \else%
+ \mathbfit{#1}%
+ \fi}
</pre>
<p>For easier writing or to make existing documents conform to the standard,
-you might want to re-define the standard <tt class="docutils literal">\vec</tt> command after loading this
-package (cf. the Examples section of the documentation).</p>
-<p>Attention: Some fonts (CM, Latin Modern, ...) have old-style figures in
-their math italic version. The Null vector must not be written <tt class="docutils literal">\vec{0}</tt>
-in this case. Use e.g. <tt class="docutils literal">\mathbf{0}</tt>, <tt class="docutils literal">\boldsymbol{0}</tt> (with AMS math) or
-<tt class="docutils literal">\bm{0}</tt> (with boldmath). The latter two variants provide also a failsafe
-alias for a bold vector.</p>
+you might want to re-define the standard <tt class="literal">\vec</tt> command after loading this
+package.</p>
</div>
<div class="section" id="matrixsym">
-<h3><a class="toc-backref" href="#id20">\matrixsym</a></h3>
+<h3><a class="toc-backref" href="#id21">\matrixsym</a></h3>
<p>Symbols for matrices are typeset <em>boldface italic</em>, i. e. in the same face
as vectors.</p>
-<pre class="literal-block">
-\newcommand{\matrixsym}{\mathbold}
+<pre class="literal-block">\providecommand*{\matrixsym}{\vectorsym}
</pre>
</div>
<div class="section" id="tensorsym">
-<h3><a class="toc-backref" href="#id21">\tensorsym</a></h3>
+<h3><a class="toc-backref" href="#id22">\tensorsym</a></h3>
<p>Symbols for tensors are <em>sans-serif bold italic</em>:</p>
-<pre class="literal-block">
-\newcommand{\tensorsym}{\mathboldsans}
+<pre class="literal-block">\providecommand*{\tensorsym}{\mathsfbfit}
</pre>
</div>
</div>
<div class="section" id="font-mappings">
-<h2><a class="toc-backref" href="#id22">Font mappings</a></h2>
+<h2><a class="toc-backref" href="#id23">Font mappings</a></h2>
+<p>Substitutions needed for the math alphabet definitions and setup for
+scaled fonts. For details about the font definition macros see
+<a class="citation-reference" href="#fntguide" id="id2">[fntguide]</a>.</p>
+<div class="section" id="common-family-name-for-text-and-math">
+<h3><a class="toc-backref" href="#id24">Common family name for text and math</a></h3>
<p>Some font packages provide matching text and math font but do not
-define a substitution in their <tt class="docutils literal">*.fd</tt> files.</p>
-<p>We define the substitutions needed for the math alphabet definitions
-in this package. Ideally, these should become part of the package's
-<tt class="docutils literal">*.fd</tt> files.</p>
-<p>For details about the font definition macros see the <a class="reference external" href="http://dante.ctan.org/CTAN/macros/latex/doc/fntguide.pdf">fntguide</a>.</p>
-<p>Mathpazo (Palatino) ppl &lt;-&gt; zplm</p>
-<pre class="literal-block">
-\DeclareFontFamily{OML}{ppl}{\skewchar\font127}
+define a substitution in their <tt class="literal">*.fd</tt> files. Ideally, the following
+mappings should be moved there.</p>
+<p>Mathpazo (Palatino) ppl ↔ zplm</p>
+<pre class="literal-block">\DeclareFontFamily{OML}{ppl}{\skewchar\font127}
\DeclareFontShape{OML}{ppl}{m}{it}{&lt;-&gt; ssub * zplm/m/it}{}
\DeclareFontShape{OML}{ppl}{bx}{it}{&lt;-&gt; ssub * zplm/b/it}{}
</pre>
+</div>
<div class="section" id="scaling">
-<h3><a class="toc-backref" href="#id23">Scaling</a></h3>
-<p>Scale the <tt class="docutils literal">fav</tt> (Arev), <tt class="docutils literal">llcmss</tt> (LX Fonts), and <tt class="docutils literal">iwona</tt> fonts
-by the value of the <tt class="docutils literal">scaled</tt> option.</p>
-<p>To get scaled versions of a font, you cannot use the <tt class="docutils literal">ssub</tt>
-<cite>size function</cite>, but must use the empty function or <tt class="docutils literal">s</tt> with the font
+<h3><a class="toc-backref" href="#id25">Scaling</a></h3>
+<p>Scale the <tt class="literal">fav</tt> (Arev), <tt class="literal">llcmss</tt> (LX Fonts), and <tt class="literal">iwona</tt> fonts
+by the value of the <a class="reference internal" href="#scaled">scaled</a> option.</p>
+<p>To get scaled versions of a font, you cannot use the <tt class="literal">ssub</tt>
+<cite>size function</cite>, but must use the empty function or <tt class="literal">s</tt> with the font
file as argument [found by experiment, GM&nbsp;2010-01-28].</p>
-<p>Arev (see omlzavm.fd): fav &lt;-&gt; zavm</p>
-<pre class="literal-block">
-\DeclareFontFamily{OML}{fav}{\skewchar\font127}
+<p>Arev (see omlzavm.fd): fav ↔ zavm</p>
+<pre class="literal-block">\DeclareFontFamily{OML}{fav}{\skewchar\font127}
\DeclareFontShape{OML}{fav}{m}{it}{&lt;-&gt; s * [\isomath&#64;scaled] zavmri7m}{}
\DeclareFontShape{OML}{fav}{bx}{it}{&lt;-&gt; s * [\isomath&#64;scaled] zavmbi7m}{}
</pre>
-<p>LX Fonts (see lxfonts.sty): llcmss -&gt; llcmm</p>
-<pre class="literal-block">
-\DeclareFontFamily{OML}{llcmss}{\skewchar\font'177}
+<p>LX Fonts (see lxfonts.sty): llcmss ↔ llcmm</p>
+<pre class="literal-block">\DeclareFontFamily{OML}{llcmss}{\skewchar\font'177}
\DeclareFontShape{OML}{llcmss}{m}{it}{&lt;-&gt; s * [\isomath&#64;scaled] lcmmi8}{}
\DeclareFontShape{OML}{llcmss}{bx}{it}{&lt;-&gt; s * [\isomath&#64;scaled] lcmmib8}{}
</pre>
-<p>Ivona (see <tt class="docutils literal">omliwona.fd</tt>):</p>
-<pre class="literal-block">
-\DeclareFontFamily{OML}{iwona}{}
+<p>Ivona (see <tt class="literal">omliwona.fd</tt>) iwona ↔ mi-iwona:</p>
+<pre class="literal-block">\DeclareFontFamily{OML}{iwona}{}
\DeclareFontShape{OML}{iwona}{m}{it}{&lt;-&gt; s * [\isomath&#64;scaled] mi-iwonari}{}
\DeclareFontShape{OML}{iwona}{bx}{it}{&lt;-&gt; s * [\isomath&#64;scaled] mi-iwonabi}{}
</pre>
-<p>No declarations below this point:</p>
-<pre class="literal-block">
-\endinput
-</pre>
-<!-- Links -->
-<!-- ***** -->
</div>
</div>
</div>
+<div class="section" id="references">
+<h1><a class="toc-backref" href="#id26">References</a></h1>
+<dl class="citation"><dt class="label">[fntguide]</dt>
+<dd id="fntguide">
+<em>(<a class="fn-backref" href="#id1">1</a>, <a class="fn-backref" href="#id2">2</a>)</em> <p class="last"><cite>LaTeX 2e font selection</cite>:
+<a class="reference external" href="http://mirror.ctan.org/macros/latex/doc/fntguide.pdf">http://mirror.ctan.org/macros/latex/doc/fntguide.pdf</a>.</p>
+</dd>
+</dl>
+</div>
</div>
</body>
</html>
diff --git a/Master/texmf-dist/doc/latex/isomath/isomath.sty.txt b/Master/texmf-dist/doc/latex/isomath/isomath.sty.txt
index 2c7405d7988..df34d12eee9 100644
--- a/Master/texmf-dist/doc/latex/isomath/isomath.sty.txt
+++ b/Master/texmf-dist/doc/latex/isomath/isomath.sty.txt
@@ -1,6 +1,11 @@
isomath.sty: Math for scientists
********************************
+:Abstract: The `isomath` package enables formatting Greek and Latin
+ letters as symbols for vectors, matrices, and tensors
+ in the typefaces recommended for scientific papers
+ by the International Standard ISO 80000-2.
+
:Copyright: © 2008, 2010 Günter Milde
:Licence: This work may be distributed and/or modified under the
conditions of the `LaTeX Project Public License`_, either
@@ -11,13 +16,10 @@ isomath.sty: Math for scientists
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{isomath}
- [2010/08/23 v0.4 math according to ISO 31]
+ [2011/02/01 v0.5 ISO math style]
+
+.. contents::
-:Abstract: The `isomath` package enables formatting Greek and Latin
- letters as symbols for vectors, matrices, and tensors
- in the typefaces recommended for scientific papers
- by the International Standard ISO 31.
-
History
=======
@@ -35,10 +37,12 @@ History
0.4 2010-08-23 split user documentation from literate source;
\ option ``scaled``;
\ documentation update.
+0.5 2011-01-04 math alphabet names matching Unicode;
+\ documentation review and extension;
+\ bold alphabet variants in ``bold`` math version;
+\ upright numbers with ``\vectorsym``.
=== ============ ========================================================
-.. contents::
-
Requirements
============
@@ -46,13 +50,12 @@ Requirements
fixmath.sty
-----------
The package fixmath_ by Walter Schmidt defines Greek letters as symbols
-of type ``\mathalpha`` and takes them from the ``letters`` SymbolFont in
+of type ``\mathalpha`` and takes them from the ``letters`` symbol font in
``\mathnormal`` (as opposed to ``operators`` in ``fontmath.ltx``).
fixmath_ also defines the ``\mathbold`` alphabet, setting it to ``cmm``.
-This definition will be overwritten with a configurable value for
-the font family below.
-::
+This definition is be overwritten with a configurable value for
+the font family below. ::
\RequirePackage{fixmath}
@@ -91,9 +94,6 @@ The sans-serif fonts, ``fav`` (Arev), ``llcmss`` (LX Fonts), and
::
\DeclareStringOption[1.0]{scaled}
- % Use a key definition like in inconsolata.sty (cf. also helvet.sty)?
- % \define@key{isomath}{scaled}[1.0]{\def\isomath@scaled{s*[#1]}}
-
reuseMathAlphabets
------------------
@@ -107,28 +107,29 @@ bold.
\DeclareBoolOption{reuseMathAlphabets}
-
OMLmath*
--------
-The following options cause `isomath` to (re)define the corresponding
+The following options cause `isomath` to (re)define the corresponding
`math alphabets`_ in OML encoding::
\DeclareBoolOption{OMLmathrm}
\DeclareBoolOption{OMLmathbf}
\DeclareBoolOption{OMLmathsf}
- \DeclareBoolOption{OMLmathsans}
+ \DeclareBoolOption{OMLmathsfit}
\DeclareBoolOption{OMLmathtt}
+ % backwards compatibility option alias
+ \DeclareVoidOption{OMLmathsans}{\isomath@OMLmathsfittrue}
Setting these options enables access to small Greek letters in
-different shapes with e.g. ``\mathrm{\pi}`` **if an OML encoded font
-is available**. Currently, only the mathdesign_ fonts support roman in
+different shapes with e.g. ``\mathrm{\pi}`` *if an OML encoded font
+is available*. Currently, only the mathdesign_ fonts support roman in
OML encoding.
With some packages, these options can result in a “too many math alphabets
used in version normal” error.
-Process Options
----------------
+--------------------------------------------------------
+
Process the options with ``kvoptions`` extensions::
\ProcessKeyvalOptions*
@@ -137,66 +138,80 @@ Process the options with ``kvoptions`` extensions::
Declarations
============
-
Math alphabets
--------------
In math, LaTeX uses “absolute” fontnames instead of a selection by
family, shape, and weight because typefaces have a semantic meaning
-(see fntguide_).
+[fntguide]_.
`isomath` defines a math alphabet for every required font variant and
optionally re-defines the standard math alphabets in `OML` font encoding.
Unfortunately, the number of math alphabets in one math version is
-limited to 16, so we have to be carefull not to exceed this. The
-``reuseMathAlphabets`` option reduces this number by two, with the
-side effect of italic shape with ``\mathbf`` and ``\mathsf`` commands::
+limited to 16, so we have to be careful not to exceed this. The
+``reuseMathAlphabets`` option reduces the number of math alphabet
+definitions by two, with the side effect of italic shape with
+``\mathbf`` and ``\mathsf`` commands::
\ifisomath@reuseMathAlphabets
\PackageWarningNoLine{isomath}{%
- Re-using math alphabet `mathsf' for \protect \mathboldsans
- \MessageBreak and `mathbf' for \protect \mathbold
+ Re-using math alphabet `mathsf' for \protect \mathsfbfit
+ \MessageBreak and `mathbf' for \protect \mathbfit
}
\fi
-mathbold
+mathbfit
~~~~~~~~
-The *italic bold* math alphabet is named ``\mathbold`` like in
-fixmath_ and related packages. With the reuseMathAlphabets_ option,
-the roman bold math alphabet ``\mathbf`` is redefined and
-``\mathbold`` made an alias (overwriting existing definitions)::
+The *bold italic* math alphabet is named ``\mathbfit`` like in
+unicode-math_ (with an alias ``\mathbold`` like in fixmath_ and
+related packages). With the reuseMathAlphabets_ option, the roman bold
+math alphabet ``\mathbf`` is redefined and ``\mathbfit`` made an
+alias. The series selector ``bx`` (bold extended) is used, because it
+is better supported than ``b``. (Is there any LaTeX math font
+distinguishing between ``b`` and ``bx``?) ::
\ifisomath@reuseMathAlphabets
\DeclareMathAlphabet{\mathbf}{OML}{\isomath@rmdefault}{bx}{it}
- \def\mathbold{\mathbf}
+ \def\mathbfit{\mathbf}
\else
- \DeclareMathAlphabet{\mathbold}{OML}{\isomath@rmdefault}{bx}{it}
+ \DeclareMathAlphabet{\mathbfit}{OML}{\isomath@rmdefault}{bx}{it}
\fi
-mathsans
-~~~~~~~~
-For *italic sans-serif*, we define a new alphabet named ``\mathsans`` (in
-analogy to ``\mathbold``). As this typeface is not required by ISO 31, it
-is only defined if the ``OMLmathsans`` option is set::
+alias (overwriting the definition from fixmath)::
- \ifisomath@OMLmathsans
- \DeclareMathAlphabet{\mathsans}{OML}{\isomath@sfdefault}{m}{it}
+ \renewcommand{\mathbold}{\mathbfit}
+
+mathsfit
+~~~~~~~~
+For *sans-serif italic*, we define a new alphabet ``\mathsfit`` (with
+the alias ``\mathsans`` in analogy to ``\mathbold``). As this typeface
+is not required by ISO 80000-2 and TeX limits the number of math alphabets
+to 16 per math version, it is only defined if the ``OMLmathsfit`` or
+``OMLmathsans`` option is set::
+
+ \ifisomath@OMLmathsfit
+ \DeclareMathAlphabet{\mathsfit}{OML}{\isomath@sfdefault}{m}{it}
+ \SetMathAlphabet{\mathsfit}{bold}{OML}{\isomath@sfdefault}{bx}{it}
+ \def\mathsans{\mathsfit}
\fi
-mathboldsans
+mathsfbfit
~~~~~~~~~~~~
-A *sans serif slanted bold* alphabet is needed for tensor symbols.
+The *sans serif bold italic* alphabet is used for tensor symbols.
+Following the Unicode math name scheme it is called
+``\mathsfbfit``(with the backwards compatibility alias ``\mathboldsans``).
With the reuseMathAlphabets_ option, the upright sans serif math
-alphabet ``\mathsf`` is redefined and ``\mathboldsans`` made an
-alias::
+alphabet ``\mathsf`` is redefined and ``\mathsfbfit`` made an
+alias to it::
\ifisomath@reuseMathAlphabets
\DeclareMathAlphabet{\mathsf}{OML}{\isomath@sfdefault}{bx}{it}
- \def\mathboldsans{\mathsf}
+ \def\mathsfbfit{\mathsf}
\else
- \DeclareMathAlphabet{\mathboldsans}{OML}{\isomath@sfdefault}{bx}{it}
+ \DeclareMathAlphabet{\mathsfbfit}{OML}{\isomath@sfdefault}{bx}{it}
\fi
+ \def\mathboldsans{\mathsfbfit}
Redefine standard alphabets
~~~~~~~~~~~~~~~~~~~~~~~~~~~
@@ -206,68 +221,78 @@ if the corresponding `OMLmath*`_ option is true::
\ifisomath@OMLmathrm
\SetMathAlphabet{\mathrm}{normal}{OML}{\isomath@rmdefault}{m}{n}
+ \SetMathAlphabet{\mathrm}{bold}{OML}{\isomath@rmdefault}{bx}{n}
\fi
\ifisomath@OMLmathbf
- \SetMathAlphabet{\mathbf}{normal}{OML}{\isomath@rmdefault}{b}{n}
+ \SetMathAlphabet{\mathbf}{normal}{OML}{\isomath@rmdefault}{bx}{n}
\fi
\ifisomath@OMLmathsf
\SetMathAlphabet{\mathsf}{normal}{OML}{\isomath@sfdefault}{m}{n}
+ \SetMathAlphabet{\mathsf}{bold}{OML}{\isomath@sfdefault}{bx}{n}
\fi
\ifisomath@OMLmathtt
\SetMathAlphabet{\mathtt}{normal}{OML}{\ttdefault}{m}{n}
+ \SetMathAlphabet{\mathtt}{bold}{OML}{\ttdefault}{bx}{n}
\fi
Command aliases
---------------
The following macros allow semantic markup of mathematical symbols.
-The argument is typeset as proposed by ISO 31 and
+The argument is typeset as proposed by ISO 80000-2 and
`Typefaces for Symbols in Scientific Manuscripts`_.
\\vectorsym
~~~~~~~~~~~
-Symbols for vectors are typeset *boldface italic*::
-
- \newcommand{\vectorsym}{\mathbold}
+Alphabetic vectors symbols are typeset *boldface italic* while numeric
+ones (e.g. zero vector) are typeset *boldface upright*. The number
+test is a simplified version from the LaTeX FAQ
+`Is the argument a number?
+<http://mail.tug.org/texlive/Contents/live/texmf-dist/doc/generic/FAQ-en/html/FAQ-isitanum.html>`__
+It fails if a number is followed by a non-number, e.g. ``\vectorsym{1a}``,
+but this is no valid vector symbol and would look strange with the
+``\vec`` accent, too. ::
+
+ \providecommand*{\vectorsym}[1]{%
+ \ifnum9<1#1%
+ \mathbf{#1}%
+ \else%
+ \mathbfit{#1}%
+ \fi}
For easier writing or to make existing documents conform to the standard,
you might want to re-define the standard ``\vec`` command after loading this
-package (cf. the Examples section of the documentation).
-
-Attention: Some fonts (CM, Latin Modern, ...) have old-style figures in
-their math italic version. The Null vector must not be written ``\vec{0}``
-in this case. Use e.g. ``\mathbf{0}``, ``\boldsymbol{0}`` (with AMS math) or
-``\bm{0}`` (with boldmath). The latter two variants provide also a failsafe
-alias for a bold vector.
+package.
\\matrixsym
~~~~~~~~~~~
Symbols for matrices are typeset *boldface italic*, i. e. in the same face
as vectors. ::
- \newcommand{\matrixsym}{\mathbold}
-
+ \providecommand*{\matrixsym}{\vectorsym}
\\tensorsym
~~~~~~~~~~~
Symbols for tensors are *sans-serif bold italic*::
- \newcommand{\tensorsym}{\mathboldsans}
+ \providecommand*{\tensorsym}{\mathsfbfit}
+
-
Font mappings
-------------
-Some font packages provide matching text and math font but do not
-define a substitution in their ``*.fd`` files.
+Substitutions needed for the math alphabet definitions and setup for
+scaled fonts. For details about the font definition macros see
+[fntguide]_.
-We define the substitutions needed for the math alphabet definitions
-in this package. Ideally, these should become part of the package's
-``*.fd`` files.
+Common family name for text and math
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-For details about the font definition macros see the fntguide_.
+Some font packages provide matching text and math font but do not
+define a substitution in their ``*.fd`` files. Ideally, the following
+mappings should be moved there.
-Mathpazo (Palatino) ppl <-> zplm ::
+Mathpazo (Palatino) ppl ↔ zplm ::
\DeclareFontFamily{OML}{ppl}{\skewchar\font127}
\DeclareFontShape{OML}{ppl}{m}{it}{<-> ssub * zplm/m/it}{}
@@ -277,50 +302,51 @@ Mathpazo (Palatino) ppl <-> zplm ::
Scaling
~~~~~~~
Scale the ``fav`` (Arev), ``llcmss`` (LX Fonts), and ``iwona`` fonts
-by the value of the ``scaled`` option.
+by the value of the scaled_ option.
To get scaled versions of a font, you cannot use the ``ssub``
`size function`, but must use the empty function or ``s`` with the font
file as argument [found by experiment, GM 2010-01-28].
-Arev (see omlzavm.fd): fav <-> zavm ::
+Arev (see omlzavm.fd): fav ↔ zavm ::
\DeclareFontFamily{OML}{fav}{\skewchar\font127}
\DeclareFontShape{OML}{fav}{m}{it}{<-> s * [\isomath@scaled] zavmri7m}{}
\DeclareFontShape{OML}{fav}{bx}{it}{<-> s * [\isomath@scaled] zavmbi7m}{}
-LX Fonts (see lxfonts.sty): llcmss -> llcmm ::
+LX Fonts (see lxfonts.sty): llcmss ↔ llcmm ::
\DeclareFontFamily{OML}{llcmss}{\skewchar\font'177}
\DeclareFontShape{OML}{llcmss}{m}{it}{<-> s * [\isomath@scaled] lcmmi8}{}
\DeclareFontShape{OML}{llcmss}{bx}{it}{<-> s * [\isomath@scaled] lcmmib8}{}
-Ivona (see ``omliwona.fd``)::
+Iwona (see ``omliwona.fd``) iwona ↔ mi-iwona::
\DeclareFontFamily{OML}{iwona}{}
\DeclareFontShape{OML}{iwona}{m}{it}{<-> s * [\isomath@scaled] mi-iwonari}{}
\DeclareFontShape{OML}{iwona}{bx}{it}{<-> s * [\isomath@scaled] mi-iwonabi}{}
-No declarations below this point::
-
- \endinput
-.. Links
-.. *****
+References
+==========
+
+.. [fntguide] `LaTeX 2e font selection`:
+ http://mirror.ctan.org/macros/latex/doc/fntguide.pdf.
.. _LaTeX Project Public License: http://www.latex-project.org/lppl.txt
-.. _arev: http://dante.ctan.org/CTAN/help/Catalogue/entries/arev.html
-.. _cmbright: http://dante.ctan.org/CTAN/help/Catalogue/entries/cmbright.html
-.. _fixmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html
-.. _fntguide: http://dante.ctan.org/CTAN/macros/latex/doc/fntguide.pdf
-.. _hvmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/hvmath.html
-.. _iwona: http://dante.ctan.org/CTAN/help/Catalogue/entries/iwona.html
-.. _keyval: http://dante.ctan.org/CTAN/help/Catalogue/entries/keyval.html
-.. _kvoptions: http://dante.ctan.org/CTAN/help/Catalogue/entries/kvoptions.html
-.. _lxfonts: http://dante.ctan.org/CTAN/help/Catalogue/entries/lxfonts.html
-.. _mathdesign: http://dante.ctan.org/CTAN/help/Catalogue/entries/mathdesign.html
+.. _arev: http://mirror.ctan.org/help/Catalogue/entries/arev.html
+.. _cmbright: http://mirror.ctan.org/help/Catalogue/entries/cmbright.html
+.. _fixmath: http://mirror.ctan.org/help/Catalogue/entries/fixmath.html
+.. _hvmath: http://mirror.ctan.org/help/Catalogue/entries/hvmath.html
+.. _iwona: http://mirror.ctan.org/help/Catalogue/entries/iwona.html
+.. _keyval: http://mirror.ctan.org/help/Catalogue/entries/keyval.html
+.. _kvoptions: http://mirror.ctan.org/help/Catalogue/entries/kvoptions.html
+.. _lxfonts: http://mirror.ctan.org/help/Catalogue/entries/lxfonts.html
+.. _mathdesign: http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html
.. _mathematical alphanumeric symbols:
http://www.unicode.org/charts/PDF/U1D400.pdf
-.. _oberdiek: http://dante.ctan.org/CTAN/help/Catalogue/entries/oberdiek.html
+.. _oberdiek: http://mirror.ctan.org/help/Catalogue/entries/oberdiek.html
.. _`Typefaces for Symbols in Scientific Manuscripts`:
- http://physics.nist.gov/Document/typefaces.pdf
+ http://physics.nist.gov/cuu/pdf/typefaces.pdf
+.. _unicode-math:
+ http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html
diff --git a/Master/texmf-dist/doc/latex/isomath/isomath.txt b/Master/texmf-dist/doc/latex/isomath/isomath.txt
index ad3697083c4..23100dcacfe 100644
--- a/Master/texmf-dist/doc/latex/isomath/isomath.txt
+++ b/Master/texmf-dist/doc/latex/isomath/isomath.txt
@@ -4,148 +4,162 @@ isomath: Math for scientists
****************************
:Author: Günter Milde
-:Date: 2010-08-23
-:Copyright: © 2008, 2010 Günter Milde
+:Date: 2011-01-14
+:Copyright: © 2008, 2011 Günter Milde
:Licence: This work may be distributed and/or modified under the
conditions of the `LaTeX Project Public License`_, either
version 1.3 of this license or (at your option) any later version.
-:Abstract: The isomath package enables formatting Greek and Latin
- letters as symbols for vectors, matrices, and tensors
- in the typefaces recommended for scientific papers
- by the International Standard ISO 31.
+:Abstract: The `isomath` package sets up an “ISO math style” allowing the
+ use of Greek and Latin letters as symbols for scalars,
+ vectors, matrices, and tensors in the typefaces recommended
+ for scientific papers by the International Standard
+ ISO 80000-2.
.. contents::
.. sectnum::
-Motivation
-----------
+
+Features
+--------
.. How do you write the stress tensor ``$\sigma$`` in a
- sans-serif bold italic typeface, as recommended by [typefaces]_?
+ `sans-serif bold italic` typeface, as recommended by [typefaces]_?
-Scientific organisations like IUPAP_, IUPAC_, NIST_, BIPM_, and others
-recommend typesetting math according to the International Standard ISO 31
-`Quantities and units` [ISO-31]_.\ [#]_
+Leading international scientific organisations recommend math layout
+rules in line with the International Standard [ISO-80000-2]_ in their
+style guides, e. g., [typefaces]_, [checklist]_, [SI]_, [fonts_for_symbols]_,
+[Red-Book]_, [Green-Book]_:
-.. [#] Summaries of these rules are free available, see [typefaces]_,
- [checklist]_, [fonts_for_symbols]_, and [SI-brochure]_.
+* The overall rule is that symbols representing physical quantities
+ (or variables) are italic, but symbols representing units, or
+ labels, are roman.
-The traditional `LaTeX math style` deviates in some points from this rules:
+* Symbols for vectors are boldface italic, symbols for tensors are
+ sans-serif bold italic, and symbols for matrices are boldface
+ italic.
-* The ``\vec`` command produces an array accent, while ISO 31 recommends
- a bold italic typeface for vector symbols.
+* The above rules apply equally to letter symbols from both the Greek
+ and the Latin alphabet.
-* Greek letters are excluded from font changes with the math
- alphabets, while the ISO 31 rules apply equally to letters from the
- Greek and Latin alphabet.
+The traditional TeX `math style`_ deviates from this rules in some
+points:
-* There is no provision for typesetting of Greek letters in bold italic
- style recommended for vectors.
+* capital Greek letters default to upright shape,
-* There is no provision for typesetting letters in sans-serif bold italic
- recommended for typesetting tensor symbols.
+* small Greek letters are excluded from font changes with the `math
+ alphabets`_.
-Some of these points are adressed by `related packages`_, however
-there is currently no package (known to the author) that defines the
-sans-serif bold italic math alphabet needed for tensor symbols.
+* The ``\vec`` command produces an arrow accent.
+The `isomath` package implements an `ISO math style`_ and provides
+`new math alphabets`_ with bold italic and sans-serif bold italic
+typeshape that can be used for vector and tensor symbols.
-Features
---------
.. _`equal treatment of Latin and Greek`:
-Equal treatment of Latin and Greek letters
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+ISO math style
+~~~~~~~~~~~~~~
-This feature is provided by the required package fixmath_ which
-ensures that:
+The required package fixmath_ changes the default math layout to the
+“ISO” `math style`_:
-+ Both, Greek and Latin letters change shape if a different
- math alphabet is used.
++ Uppercase Greek letters are typeset italic by default.
-+ By default, uppercase Greek letters are typeset in italic style.
++ Both, Greek and Latin letters change shape if a different
+ `math alphabet`_ is used.
-However, `fixmath` works only for Computer Modern. With `isomath`,
+However, fixmath works only for the Computer Modern font family.
+With `isomath`,
+ the used math fonts are configurable (using the rmdefault_ and
sfdefault_ options), and
+ upright Greek letters can be made available through the common
- ``\math*`` alphabets via the OMLmath_ options, if the
+ ``\math*`` alphabets via the `OMLmath*`_ options if the
corresponding fonts support the `OML font encoding`_.
-Caution:
- Placing Greek letters in a ``\math*`` macro, e. g.
- ``\mathrm{k\Omega}``, can lead to garbage, as the standard math
+.. Caution::
+
+ Using Greek letters in standard `math alphabets`_, e. g.,
+ ``\mathrm{\pi}``, can lead to garbage, as the standard math
alphabets are usually taken from text fonts that have ligatures and
non-alpha symbols in place of the small Greek letters.
- Do not use Greek letters in the standard math alphabet commands
+ Do not use small Greek letters in the standard math alphabet commands
``mathit``, ``mathrm``, ``mathbf``, ``mathsf``, and ``mathtt``
- unless you use the OMLmath_ options.\ [#]_
+ unless you use the `OMLmath*`_ options.
- .. [#] Some packages provide ``\up*`` or ``\var*`` macros for
- upright Greek letters so the above example could be written
- ``\mathrm{k}\upOmega``.
+ Some packages provide alternative macros or options for upright
+ Greek letters (cf. `Table 6`_).
New math alphabets
~~~~~~~~~~~~~~~~~~
-New math alphabets are defined:
+`Isomath` defines three new `math alphabets`_:
+
+ .. class:: borderless
-:``\mathbold``: boldface italic (vector and matrix symbols),
-:``\mathboldsans``: sans-serif bold italic (tensor symbols).
-:``\mathsans``: sans-serif italic (optional),
+ =============== ====================== =================================
+ ``\mathbfit`` boldface italic vector and matrix symbols
+ ``\mathsfit`` sans-serif italic optional (see OMLmath*_ options)
+ ``\mathsfbfit`` sans-serif bold italic tensor symbols
+ =============== ====================== =================================
-The rmdefault_ and sfdefault_ options set the font family used for
+The rmdefault_ and sfdefault_ options_ set the font family used for
these alphabets.
+.. Caution::
-Command aliases
-~~~~~~~~~~~~~~~
-The command aliases ``\vectorsym``, ``\matrixsym``, and ``\tensorsym``
-allow semantic markup. They print the argument in an ISO-conforming
-typeface.
+ Using the new math alphabets for numbers can result in _`upright
+ old-style numbers` instead of italic ones, because some italic math
+ fonts (e. g., cmr, cmbr) have old-style numbers in place of italic
+ digits.
+For compatibility with earlier versions and `related packages`_, the
+new math alphabets are also available under the aliases
+``\mathbold``, ``\mathsans``, and ``\mathboldsans``.
-Font mappings
-~~~~~~~~~~~~~
+Semantic markup
+~~~~~~~~~~~~~~~
+The following commands set the argument in an ISO-conforming math alphabet:
-Some font definitions are added for font families which have an OML
-encoded counterpart but no substitution definition in their ``*.fd``
-files.
+ .. class:: borderless
-Usage
------
+ ========================== ========================================
+ ``\vectorsym, \matrixsym`` bold italic for Greek and Latin letters,
+ bold upright for numbers
-Make sure that LaTeX can find ``isomath.sty`` and insert the command::
+ ``\tensorsym`` sans-serif bold italic
+ ========================== ========================================
- \usepackage{isomath}
-in the document preamble (see also Examples_).
+Usage
+-----
+Make sure that LaTeX can find ``isomath.sty`` and load it with
+``\usepackage`` (see also Options_ and Examples_).
Options
~~~~~~~
rmdefault
'''''''''
-Family for serif math fonts (roman and kursive). The default is to use the
-corresponding text font family (the value of ``\rmdefault``). The font
-must be available in `OML font encoding`_.
+Family for serif math fonts (``\mathrm``, ``\mathbf``, ``\mathit``,
+``\mathbfit``). The default is to use the corresponding text font
+family (the value of ``\rmdefault``). The font must be available in
+`OML font encoding`_ (cf. `Table 3`_).
sfdefault
'''''''''
Family for sans-serif math fonts. The default is ``cmbr`` because many
sans-serif fonts define the Computer Roman font `cmm` as OML substitution
-(see `Table 2`_).
+(see `Table 4`_).
-There are only few sans serif `fonts that support the OML
-encoding`_:
+There are only few sans serif fonts in `OML font encoding`_:
-.. class:: booktab
+.. class:: borderless
========== =========== ===================================================
Name Package Comment
@@ -153,27 +167,27 @@ Name Package Comment
``cmbr`` cmbright_ `Computer Modern Bright`, bitmap, slightly lighter
than cmss (Type 1 fonts with hfbright_)
``fav`` arev_ `Arev` (`Vera Sans`) with math extension,
- large x-hight
+ large x-height
``iwona`` iwona_ Humanistic Sans Serif,
some shapes very similar to roman
``hvm`` hvmath_ `Helvetica Math`, commercial, free bitmap version
-``llcmss`` lxfonts_ `LX Fonts`, very wide, excentric, large x-hight,
+``llcmss`` lxfonts_ `LX Fonts`, very wide, eccentric, large x-height,
new in 2008
========== =========== ===================================================
scaled
''''''
-As the choice of sans serif math fonts is very limited,
-the fonts, ``fav``, ``llcmss``, and ``iwona`` can be scaled
-with the ``scaled`` option (see examples_).
+To improve the chances of configuring a matching sans serif math font,
+the fonts, ``fav``, ``llcmss``, and ``iwona`` can be scaled with the
+``scaled`` option (cf. Examples_).
reuseMathAlphabets
''''''''''''''''''
The definition of new math alphabets can lead to a “`too many math
alphabets used in version normal`_” error. As a workaround, this
-option tells ``isomath`` to re-use the existing ``\mathbf`` and
+option tells `isomath` to re-use the existing ``\mathbf`` and
``\mathsf`` alphabets for italic bold and sans-serif bold. [#]_
.. [#] To access the upright shapes, the corresponding ``\textbf`` and
@@ -181,63 +195,110 @@ option tells ``isomath`` to re-use the existing ``\mathbf`` and
math-mode off and might use a different font, so watch for
side-effects.
-OMLmath
-''''''''
+.. _OMLmath*:
+
+OMLmathrm, OMLmathbf, OMLmathsf, OMLmathsfit, OMLmathtt
+'''''''''''''''''''''''''''''''''''''''''''''''''''''''
-With Greek letters defined as ``\mathalpha``, the math alphabets are
-expected to be in `OML font encoding`_. Unfortunately, the standard
-math alphabets are usually taken from OT1 or T1 encoded fonts that
-have ligatures and accents in place of the Greek letters.
+With Greek letters defined as ``\mathalpha``, the letter fonts are
+expected to be in `OML font encoding`_. The predefined
+`math alphabets`_, however, use OT1 encoded text fonts. These fonts
+have ligatures and accents in place of the small Greek letters.
+The ``\mathsfit`` alphabet is not required for ISO conforming math.
-The following options cause isomath to (re)define math alphabets in OML
-encoding::
+The ``OMLmath*`` options bind the corresponding ``\math*`` command to an
+OML-encoded font.
+This enables use of small Greek letters in `math alphabet`_ commands,
+e. g., ``\mathrm{\pi}`` *if an OML encoded font is available*.
+`Table 3`_ lists font families supporting the OML encoding.
- OMLmathrm, OMLmathbf, OMLmathsf, OMLmathsans, OMLmathtt
+.. caution::
-Setting these options enables access to small Greek letters in
-different shapes with e.g. ``\mathrm{\pi}`` **if an OML encoded font
-is available**. Currently, only the mathdesign_ package provides
-upright `fonts that support the OML encoding`_. Many font packages
-define an italic font as replacement for a roman font in OML encoding.
+ If no matching OML encoded font is found, LaTeX's substitute
+ mechanism kicks in and selects a font with different font attributes
+ (for all letters, not only Greek). Currently, only the mathdesign_
+ package provides upright fonts in OML encoding. Many font packages
+ define an *italic* font as OML substitute for roman fonts.
+
+ With some packages, these options can result in a “`too many math
+ alphabets used in version normal`_” error.
-With some packages, these options can result in a “`too many math alphabets
-used in version normal`_” error.
Examples
~~~~~~~~
-* Use `isomath` with the default settings::
+* Redefine the standard ``\vec`` command to set its argument in an
+ ISO-conforming math alphabet.::
\usepackage{isomath}
+ \renewcommand{\vec}{\vectorsym}
+
+* Use scaled arev_ fonts for the sans serif alphabets
+ (adapt the scaling factor to your needs)::
-* Define also a slanted sans-serif math alphabet::
+ \usepackage[sfdefault=fav,scaled=0.875]{isomath}
- \usepackage[OMLmathsans]{isomath}
+* Define the ``\mathsfit`` sans-serif italic math alphabet::
-* Use the heavier `Arev` sans serif fonts::
+ \usepackage[OMLmathsfit]{isomath}
- \usepackage[sfdefault=fav,scaled=0.875]{isomath}
- (Adapt the scaling factor to your needs.)
+* The ``\mathbfit`` and ``\mathsfbfit`` alphabets do not have a different
+ weight in the ``bold`` `math version`_ because the number of LaTeX math
+ fonts providing `extrabold` or `ultrabold` series is negligible.
-* Redefine the standard ``\vec`` macro to typeset its argument in `bold
- italic`::
+ As a workaround, use the heavier arev_ font, scaled to 0,875, in the
+ bold version of ``\mathsfbfit``::
\usepackage{isomath}
- \renewcommand{\vec}{\vectorsym}
+ \DeclareFontShape{OML}{fav}{bx}{it}{<-> s * [0.875] zavmbi7m}{}
+ \SetMathAlphabet{\mathsfbfit}{bold}{OML}{fav}{bx}{it}
- (Use ``\bm`` or ``boldmath`` for for the zero and unit vectors, as
- ``\vec{0}`` and ``\vec{1}`` will give undesired results.)
+See also the ``isomath-test.tex`` test document.
-* The mathdesign_ package provides an OML encoded *bold roman* font but does
- not set it up for ``\mathbf``. To set it up, write e.g.::
+How to get upright small Greek letters
+''''''''''''''''''''''''''''''''''''''
- \usepackage[charter]{mathdesign}
- \usepackage[OMLmathbf]{isomath}
+Of the following methods, only the first requires `isomath`:
- Now, e.g. ``\mathbf{\pi}`` produces a bold upright pi symbol.
+a) Use `isomath` and the mathdesign_ package::
+
+ \usepackage[utopia]{mathdesign}
+ \usepackage[OMLmathrm,OMLmathbf]{isomath}
+
+ Now, e. g., ``\mathrm{\pi}`` and ``\mathbf{\pi}`` work as
+ expected.
+
+b) To get upright small Greek letters without affecting other fonts,
+ set the math alphabet manually to one of the three mathdesign_
+ fonts, e. g.::
+
+ \SetMathAlphabet{\mathbf}{normal}{OML}{mdput}{b}{n}
+
+ (check if the letter shapes match with the rest of the document).
+
+c) Use a package that provides macros for upright Greek letters
+ in math:
+
+ .. class:: borderless
+
+ ============= =====================================
+ fourier_ ``\otheralpha ... \otherOmega``
+ kpfonts_ ``\alphaup ... \Omegaup``
+ mathdesign_ ``\alphaup ... \Omegaup``
+ upgreek_ ``\upalpha ... \upOmega``
+ ============= =====================================
+
+d) Use an upright text character (requires a matching LGR-encoded
+ Greek text font). The following lines redefine ``\pi`` to set
+ the mathematical constant pi upright::
+
+ \usepackage[LGR,T1]{fontenc}
+ \usepackage[greek,british]{babel}
+ \usepackage{amsmath}
+ \let\mathpi\pi
+ \renewcommand{\pi}{\text{\textrm{\greektext p }}}
-See also the ``isomath-test.tex`` test document.
Related packages
@@ -250,7 +311,7 @@ fixmath_
by Walter Schmidt defines Greek letters as alphabetic symbols.
kvoptions_
- (in the oberdiek_ bundle) facilitates the setup of package options
+ by Heiko Oberdiek facilitates the setup of package options
and provides a key=value interface (based on keyval_).
@@ -258,65 +319,62 @@ Recommendations
~~~~~~~~~~~~~~~
cmbright_
- provides *sans serif* and *sans-serif bold* fonts for the
- ``\mathsans`` and ``\mathboldsans`` alphabets that match with
- Computer Modern and derivatives. Free Type 1 versions of the fonts
- with hfbright_.
+ by Walter Schmidt provides sans serif and sans-serif bold fonts
+ for the ``\mathsfit`` and ``\mathsfbfit`` alphabets that match
+ with Computer Modern and derivatives. Free Type 1 versions of the
+ fonts are provided by hfbright_.
arev_
- provides *sans serif* somewhat heavier letters that are clearly
- distinguishable from the roman or italic counterparts (important if
- used to distinguish vectors and tensors). However, `Arev` has a
- large x-hight, so for most default fonts, either small or capital
+ by Stephen Hartke provides the not-so-light `Arev` sans serif font
+ with letters that are clearly distinguishable from the roman or
+ italic counterparts (important if used to distinguish vectors and
+ tensors).
+
+ `Arev` has a large x-height. For many fonts, either small or capital
letters will not match in size.
Alternatives
~~~~~~~~~~~~
-If the only requirement is a bold italic font for (Latin and Greek) vector
-symbols, there are established alternatives to `isomath`:
-
-* Packages that support `equal treatment of Latin and Greek`_ and
- provide the ``\mathbold`` alphabet (but not ``\mathsansbold``) in
- `OML font encoding`_:
+See `Table 2`_ for other packages that implement the “ISO” `math
+style`_ and `Table 6`_ for packages that provide bold italic
+math fonts.
- Roman
- * eulervm_ (Euler Math),
- * fixmath_ (Computer Modern),
- * mathpazo_ (Palatino),
- * tmmath_ (TM-Math/Times).
+`“In-line math versions”`_
+ can be used as ISO-conforming replacement for ``\vec``:
- Sans serif
- * arev_ (Arev/Vera Sans),
- * cmbright_ (CM Bright),
- * hvmath_ (HV-Math/Helvetica),
+ * ``\boldsymbol`` from `amsbsy`_ (part of `amsmath`_, the
+ near-indispensable adjunct to serious mathematical typesetting in
+ LaTeX),
+ * ``\bm`` from the `bm`_ package. Combining `bm` and `isomath` may
+ lead to the `too many math alphabets used in version normal`_ error.
-* Packages that provide commands which can be used as replacement for
- ``\vec``:
-
- * `amsbsy`_ (part of `amsmath`_, the near-indispensable adjunct to serious
- mathematical typesetting in LaTeX) defines ``\boldmath``,
+``\text``
+ from `amsmath`_ can be used to get, e. g., upright or sans-serif
+ bold italic Greek symbols from a text font into a formula (see
+ `How to get upright small Greek letters`_).
- * `bm`_ defines a command ``\bm`` which makes its argument bold (more
- careful than amsbsy's ``\boldmath``). Combining `bm` and `isomath` may
- lead to the `too many math alphabets used in version normal`_ error.
+unicode-math_
+ for XeTeX and LuaTeX allows mathematical typesetting using OpenType
+ math fonts. It supports the “ISO” `math style`_ and all mathematical
+ characters in the Unicode standard.
-The ``\text`` macro from `amsmath`_ can be used to get e.g. upright or
-sans-serif bold slanted Greek symbols from a text font into a formula.
+ unicode-math cannot be used together with `isomath`. It can, however,
+ replace all of isomath's functionality. See the discussion of `the
+ unicode-math package`_ below.
Conflicts
~~~~~~~~~
-* “_`too many math alphabets used in version normal`”
-
+“_`too many math alphabets used in version normal`”
This error occurs if the combination of packages tries to load more
- than 16 fonts into the ‘normal’ math version.
+ than 16 fonts into the ``normal`` `math version`_.
- It can be avoided with the reuseMathAlphabets_ option (see there
- for side-effects).
+ `Isomath` can reduce the number of math alphabet definitions with the
+ reuseMathAlphabets_ option (see there for side-effects).
Examples for problematic combinations:
@@ -327,13 +385,13 @@ Conflicts
and heavy fonts. Their number can be customized by defining
``\bmmax`` and ``\hmmax`` before loading the package.
-* The `fourier`_ package for math typesetting with Utopia defines its own,
- incompatible math font encodings. It cannot be used with ``isomath`` but
- provides other means to typeset upright or italic Greek (see its
- documentation).
+fourier_
+ provides upright and italic Greek letters, but uses non-standard
+ math font encodings. It cannot be used with `isomath`.
- However, it is possible to use the symbols from `fourier`_ together
- with math alphabets from another package, e.g `mathdesign`_::
+ However, it is possible to use the non-alphanumeric symbols from
+ `fourier`_ together with math alphabets from another package, e.g
+ `mathdesign`_::
\usepackage{fourier}
\usepackage[OMLmathbf,rmdefault=mdput,
@@ -343,43 +401,197 @@ Conflicts
Background
----------
-Letter symbols
-~~~~~~~~~~~~~~
+This section discusses LaTeX `math font selection`_, suitable
+`math letter fonts`_ for the ISO math style, and the relation of LaTeX and
+`Unicode mathematical typesetting`_.
-IUPAC_'s [fonts_for_symbols]_ guide says:
- 2. The overall rule is that symbols representing physical quantities (or
- variables) are italic, but symbols representing units, or labels, are
- roman. […]
+Math font selection
+~~~~~~~~~~~~~~~~~~~
- 3. The above rule applies equally to letter symbols from both the Greek
- and the Latin alphabet, […].
+There are three complementary methods to set font attributes in LaTeX
+math mode: `LaTeX 2e font selection` [fntguide]_ describes `math
+alphabets`_ and `math versions`_, several extension packages
+provide alternative `math styles`_ (cf. `Table 2`_).
-In contrast, the standard LaTeX style treats Greek letter symbols
+.. _math alphabet:
-* as invariant operators,
+Math alphabets
+''''''''''''''
-* with lower case italic and upper case upright.
+Math alphabets are a counterpart to the `mathematical alphanumeric
+symbols`_ block in Unicode. Both are “to be used for mathematical
+variables where style variations are important semantically”.
+The font guide [fntguide]_ defines in
+section 3:
-A possible fix (established by fixmath_) is using a common font for
-Greek and Latin letters. There is one established font encoding
-providing Latin and Greek letters: the `OML font encoding`_. However,
+ Some math fonts are selected explicitly by one-argument commands
+ such as ``\mathsf{max}`` or ``\mathbf{vec}``; such fonts are called
+ *math alphabets*.
-* support_ for OML is limited to a few (mostly italic) fonts.
+ Math fonts [...] have the same five attributes as text fonts:
+ encoding, family, series, shape and size. However, there are no
+ commands that allow the attributes to be individually changed.
+ Instead, the conversion from math fonts to these five attributes is
+ controlled by the `math version`_.
-* The widely supported but non-standard `LGR` font encoding has Greek
- but no Latin letters, while
+ The _`predefined math alphabets` are:
-* the standard Greek font encoding `T7` is just a “reserved name”.
+ .. class:: borderless
+ ================= ===============
+ ``\mathnormal`` default [#mathnormal]_
+ ``\mathrm`` roman [#roman]_
+ ``\mathbf`` bold roman
+ ``\mathsf`` sans serif
+ ``\mathit`` text italic
+ ``\mathtt`` typewriter
+ ``\mathcal`` calligraphic
+ ================= ===============
-OML font encoding
+.. [#mathnormal] ``\mathnormal`` is used by default for alphanumeric
+ characters in math mode. It sets the letter shape according to
+ character class and `math style`_. (`Table 1`_ shows the default
+ letter shapes for common math styles).
+
+.. [#roman] The specifier “roman” is ambiguous: roman shape
+ stands for *upright*, while roman type stands for *serif* (as
+ opposed to sans serif).
+
+Many packages define additional math alphabets (cf. `Table 6`_).
+
+In contrast to the similar named text commands, math alphabets are
+*not* orthogonal, e. g., the code ``$\mathit{\mathbf{a}}$`` sets the
+letter ``a`` in **upright** bold type.
+
+
+.. _math version:
+
+Math versions
+'''''''''''''
+
+The number of mathematical symbols exceeds the maximal number of
+characters in a TeX font file by an order of magnitude. [#max]_
+Grouping math fonts with common characteristics in math versions
+simplifies the setting of font attributes for mathematical expressions.
+
+*Math versions* set up “math symbol fonts” for non-alphanumeric
+symbols and bind the `math alphabet`_ commands to fonts using default
+values for non-specified font attributes. TeX limits the number of
+(symbol + alphanumeric) fonts per math version to 16.
+
+The predefined math versions are ``normal`` and ``bold`` with the
+defaults:
+
+ .. class:: borderless
+
+ ======== ========== ========
+ .. ``normal`` ``bold``
+ *type* serif serif
+ *weight* medium bold
+ *shape* upright upright
+ ======== ========== ========
+
+Packages can define additional math versions, e. g., the wrisym_ package
+defines a ``mono`` math version. A ``sans`` math version example is
+available from a `comp.text.tex post
+<http://newsgroups.derkeiler.com/Archive/Comp/comp.text.tex/2007-09/msg00181.html>`__
+
+Math versions are intended for mathematical content in a special
+context, e. g., a bold section heading.
+Setting a math version resembles the individual selection of text
+font attributes (bold, sans-serif, monospaced).
+
+Math versions can only be changed outside of math mode. The commands
+``\boldsymbol`` (amsmath_) and ``\bm`` (bm_) behave like _`“in-line
+math versions”`: they typeset their argument using the fonts of the
+``bold`` math version but can be used inside math mode.
+
+Example: four ways to set the letter ``a`` in a bold
+sans-serif font::
+
+ % Text Math:
+ \textbf{\textsf{a}} $\bm{\mathsf{a}}$
+ \bfseries \textsf{a} \mathversion{bold} $\mathsf{a}$
+
+.. [#max] Unicode provides about 2500 math characters. Font files used
+ by 8-bit TeX engines can hold up to 256 characters. The standard
+ math fonts adhere to the original limit of 128 characters.
+
+.. _math style:
+
+Math styles
+'''''''''''
+
+A *math style* is a document-level feature that determines the default
+letter shape in math mode (i. e. the shape attribute of letters in the
+``\mathnormal`` `math alphabet`_).
+
+.. _Table 1:
+
+.. table:: Default letter shapes for common math styles
+
+ ============ ======= ======= ======= =======
+ math style latin Latin greek Greek
+ ============ ======= ======= ======= =======
+ TeX it it it up
+ ISO it it it it
+ French it up up up
+ upright up up up up
+ ============ ======= ======= ======= =======
+
+LaTeX defaults to the “TeX” math style (without naming it such).
+Alternative math styles are introduced by extension packages
+(`Table 2`_).
+
+.. _Table 2:
+
+.. table:: Packages providing math styles
+
+ ============ ============= ==================================
+ math style Package Option(s)
+ ============ ============= ==================================
+ ISO fixmath_
+ .. isomath
+ .. kpfonts_ slantedGreeks
+ .. lucimatx_ math-style=iso
+ .. mathdesign_ greekuppercase=italicized
+ .. mathpazo_ slantedGreek
+ .. mathptmx_ slantedGreek
+ .. unicode-math_ math-style=ISO
+
+ French fourier_ upright
+ .. kpfonts_ frenchstyle (or upright)
+ .. lucimatx_ math-style=french
+ .. mathdesign_ uppercase=upright, greeklowercase=upright
+ .. unicode-math_ math-style=french
+
+ upright eulervm_
+ .. lucimatx_ math-style=upright
+ .. unicode-math_ math-style=upright
+ ============ ============= ==================================
+
+
+Math letter fonts
~~~~~~~~~~~~~~~~~
+The equal treatment of Latin and Greek letters in the `ISO math
+style`_ is simplest achieved with a font that contains all required
+letters in one file.
+
+There is only one established LaTeX font encoding that contains Latin and
+Greek letters, the `OML font encoding`_. The standard Greek font
+encoding `T7` is just a “reserved name” and the de-facto standard
+Greek text font encoding `LGR` has no Latin letters. Unfortunately,
+`OML support`_ is limited to a few (mostly italic) fonts.
+
+OML font encoding
+'''''''''''''''''
+
The `LaTeX font encodings` guide [encguide]_ names the OML encoding
`TeX math italic` and defines:
- The OML encoding contains italic Latin and Greek letters for use in
+ The _`OML` encoding contains italic Latin and Greek letters for use in
mathematical formulas (typically used for variables) together with some
symbols.
@@ -394,9 +606,9 @@ The reference to *italic* shape is odd:
alphabets in roman {n} as well as italic {it} shape without
conflicts.
-This seems to be a remnant of pre-NFSS times – there is only one OML
-encoded font in Knuth's Computer Modern fonts: `Computer Modern Math
-Italic` (cmmi) – rather than a necessary restriction.
+This seems to be more a remnant of pre-NFSS times than a necessary
+restriction – there is only one OML encoded font in Knuth's Computer
+Modern fonts: `Computer Modern Math Italic` (cmmi).
Proposals:
@@ -415,16 +627,16 @@ Proposals:
Math Letters`. The latter would also explain the acronym OML.
-Support
-'''''''
+OML Support
+'''''''''''
Unfortunately, support for the OML encoding is missing for many font
-families even if the base font contains all Greek letters.
-
+families even if the text font defines Greek letters.
Supported font families can be found searching for ``oml*.fd`` files
and grepping for ``DeclareFont.*OML`` in ``*.sty`` files.
-`Table 1`_ lists the findings for a selection of TeXLive + some
-additonally installed font packages.
+
+`Table 3`_ lists the findings for a selection of TeXLive 2009 + some
+additionally installed font packages.
* If there is an alias (substitution) from the text font to a
math-variant, only the text font is listed.
@@ -433,57 +645,57 @@ additonally installed font packages.
however mapping to an italic variant of the OML encoded font. These
are not listed as supporting ``m/n`` or ``bx/n`` here.
-`Table 2`_ lists some fonts that define ``cmm`` as OML substitution.
-With isomath, a better matching substitution can be set using the
-rmdefault_ or sfdefault_ options.
-
-.. _Table 1:
+.. _Table 3:
-.. table:: _`Fonts that support the OML encoding`
+.. table:: Font families supporting the OML encoding
============= =========================== ======= ======== ====== =======
Name Family m/it bx/it m/n bx/n
============= =========================== ======= ======== ====== =======
- aer AE (Almost European) x x
- antt Antykwa Torunska x x
- cmr Computer Modern Roman x x
- ccr Concrete x x
- cmbr Computer Modern Bright x x
- hlh Lucida x x
- hfor CM with old-style digits x x
- iwona Iwona (sans serif) x x
- jkp Kepler Serif x x
- jkpl Kepler Serif x x
- jkpvos Kepler Serif x x
- jkplvos Kepler Serif x x
- llcmm LXfonts (sans serif) x x
- lmr Latin Modern Roman x x
- mak Kerkis x
- kurier Kurier x x
- mdbch Math Design Charter x x x x
- mdput Math Design Utopia x x x x
- mdugm Math Design Garamond x x x x
- neohellenic GFS Neohellenic x
- plcm CM (PLaTeX) x
- ptmom Times (Omega or MB-Times) x x
- ptmomu Times (Omega or MB-Times) x x
- ptmcm Times (psfont) x
- pxr Palatino (pxfonts) x x
- qpl Palatino/Pagella (qpxmath) x x
- qtm Times/Termes (qtxmath) x x
- txr Times (txfonts) x x
- udidot Didot (gfsdidot) x
- ywclm (greektex) x x
- zavm Arev (Vera Sans-Serif) x x
- zesfcm (efont) x
- zplm Palatino (mathpazo) x x
- zpple Palatino x x
- ztmcm Times (mathptmx) x
- zer Computer Modern (zefonts) x x
+ aer AE (Almost European) ✓ ✓
+ antt Antykwa Torunska ✓ ✓
+ cmr Computer Modern Roman ✓ ✓
+ ccr Concrete ✓ ✓
+ cmbr Computer Modern Bright ✓ ✓
+ hlh Lucida ✓ ✓
+ hfor CM with old-style digits ✓ ✓
+ iwona Iwona (sans serif) ✓ ✓
+ jkp Kepler Serif ✓ ✓
+ jkpl Kepler Serif ✓ ✓
+ jkpvos Kepler Serif ✓ ✓
+ jkplvos Kepler Serif ✓ ✓
+ llcmm LX Fonts (sans serif) ✓ ✓
+ lmr Latin Modern Roman ✓ ✓
+ mak Kerkis ✓
+ kurier Kurier ✓ ✓
+ mdbch Math Design Charter ✓ ✓ ✓ ✓
+ mdput Math Design Utopia ✓ ✓ ✓ ✓
+ mdugm Math Design Garamond ✓ ✓ ✓ ✓
+ neohellenic GFS Neohellenic ✓
+ plcm CM (PLaTeX) ✓
+ ptmom Times (Omega or MB-Times) ✓ ✓
+ ptmomu Times (Omega or MB-Times) ✓ ✓
+ ptmcm Times (psfont) ✓
+ pxr Palatino (pxfonts) ✓ ✓
+ qpl Palatino/Pagella (qpxmath) ✓ ✓
+ qtm Times/Termes (qtxmath) ✓ ✓
+ txr Times (txfonts) ✓ ✓
+ udidot Didot (gfsdidot) ✓
+ ywclm (greektex) ✓ ✓
+ zavm Arev (Vera Sans-Serif) ✓ ✓
+ zesfcm (efont) ✓
+ zplm Palatino (mathpazo) ✓ ✓
+ zpple Palatino ✓ ✓
+ ztmcm Times (mathptmv) ✓
+ zer Computer Modern (zefonts) ✓ ✓
============= =========================== ======= ======== ====== =======
-.. _Table 2:
+`Table 4`_ lists some fonts that define ``cmm`` as OML substitution.
+With `isomath`, a better matching substitution can be set using the
+rmdefault_ or sfdefault_ options.
+
+.. _Table 4:
.. table:: Non-CM fonts with ``cmm`` as OML substitution
@@ -513,189 +725,345 @@ rmdefault_ or sfdefault_ options.
============= ===============================
-Math in Unicode
-~~~~~~~~~~~~~~~
+Unicode mathematical typesetting
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+The technical report [tr25]_ presents an in-depth discussion of the
+mathematics character repertoire of the Unicode Standard as well as
+mathematical notation in general.
-Basis for the definition of the Unicode block
-`mathematical alphanumeric symbols`_, was the consideration outlined
-in [beeton:2000]_:
-
- These alphabets are needed for proper composition
- of mathematics:
-
- * lightface upright Latin, Greek and digits
- * boldface upright Latin, Greek and digits
- * lightface italic Latin, Greek and digits
- * boldface italic Latin, Greek and digits
- * script
- * fraktur
- * bold fraktur
- * open-face (blackboard bold) including digits
- * lightface upright sans serif Latin and digits
- * lightface italic sans serif Latin
- * boldface upright sans serif Latin, Greek, and digits
- * boldface italic sans serif Latin and Greek
- * monospace Latin and digits
-
- Except for the lightface upright letters and digits,
- which are to be encoded using the base Unicodes
- (ASCII for the Latin letters and digits), the
- alphanumerics are to be placed in a tightly packed
- block (U+D400–D7FF) in plane 1, so that they can
- be used for math (most likely via entity names in
- MathML), but will be very difficult to access for
- other purposes.
-
-The technical report `Unicode Support for Mathematics` [tr25]_ lists
-“alphanumeric symbols encountered in mathematics” in table 2:
-`Mathematical Alphabets`.
-
-The Unicode block `mathematical alphanumeric symbols`_ provides style
-variants for Latin and Greek letters and digits. It is labelled “to be
-used for mathematical variables where style variations are important
-semantically”. `Table 3`_ gives a survey of current LaTeX support.
-
-.. _table 3:
-
-.. table:: Styles in the `mathematical alphanumeric symbols`_
- Unicode block
- :class: booktab
-
- ================= ======= ================= ==========================
- Style Symbols LaTeX macro Package, Comment
- [#]_
- ================= ======= ================= ==========================
- bold LGD ``\mathbf`` no Greek
-
- italic LG ``\mathit`` no Greek
- \ ``\mathnormal`` small Greek but
- old-style digits (upright)
- bold italic LG ``\mathbold`` fixmath and friends
- \ ``\boldsymbol`` ams
- script L ``\mathcal`` or only capital Latin
- (calligraphic) ``\mathscr``
- bold script L
- fraktur L ``\mathfrak`` eufrak
- double-struck L D ``\mathbb`` bbold, mathbbol,
- mbboard
- \ ``\mathbbm`` bbm
- \ ``\mathds`` dsfont
- bold fraktur L
- sans-serif L D ``\mathsf`` no Greek
- sans-serif bold LGD
- sans-serif italic L ``\mathsans`` isomath
- sans bold italic LG ``\mathboldsans`` isomath
- monospace L D ``\mathtt`` no Greek
- ----------------- ------- ----------------- --------------------------
- *Not in the mathematical alphanumeric symbols block*:
- ----------------------------------------------------------------------
- plain LGD ``\mathrm`` no Greek
- \ ``\mathnormal`` capital Greek
- ================= ======= ================= ==========================
-
-.. [#] LGD: **L**\ atin, **G**\ reek, **D**\ igits
+This section compares `math font selection`_ in LaTeX and Unicode.
+It suggests a set of 14 math alphabets that covers all Unicode
+`mathematical alphanumeric symbols`_ and discusses compatibility
+issues between math typesetting with traditional (8-bit) TeX engines
+versus `the unicode-math package`_ for Unicode-enabled TeX engines
+(XeTeX, LuaTeX).
+.. _mathematical alphanumeric symbols:
+
+Unicode math alphabets
+''''''''''''''''''''''
+
+Chapter 2 `Mathematical Character Repertoire` of [tr25]_ lists 14
+`Mathematical Alphabets` in Table 2.1. These mathematical alphabets are a
+superset of the predefined `math alphabets`_ in the LaTeX core.
+
+Unicode assignes code points to most letters of the mathematical
+alphabets in the `mathematical alphanumeric symbols Unicode block`_.
+The plain (upright, serifed) letters have been unified with the
+existing characters in the Basic Latin and Greek blocks.
+
+`Table 5`_ maps the 14 Unicode mathematical alphabets to LaTeX commands
+according to the `naming scheme`_ below. `Table 6`_ lists the status of
+LaTeX support for the mathematical alphanumeric symbols. Full support is
+provided by `the unicode-math package`_.
+
+.. _table 5:
+
+.. table:: Mapping Unicode `mathematical alphanumeric symbols`_ to LaTeX
+ math alphabets.
+
+ ========== ======== ============= ================== ===============
+ serifs weight shape symbols math alphabet
+ ========== ======== ============= ================== ===============
+ *serif* *medium* *upright* Latin/Greek/digits ``\mathrm``
+ [#up]_
+ .. bold Latin/Greek/digits ``\mathbf``
+ .. italic Latin/Greek ``\mathit``
+ .. bold italic Latin/Greek ``\mathbfit``
+ .. script Latin ``\mathcal``
+ .. bold script Latin ``\mathbfcal``
+ .. fraktur Latin ``\mathfrak``
+ .. double-struck Latin/digits ``\mathbb``
+ .. bold fraktur Latin ``\mathbffrak``
+ sans serif Latin/digits ``\mathsf``
+ sans serif bold Latin/Greek/digits ``\mathsfbf``
+ sans serif italic Latin ``\mathsfit``
+ sans serif bold italic Latin/Greek ``\mathsfbfit``
+ .. monospace Latin/digits ``\mathtt``
+ ========== ======== ============= ================== ===============
+
+.. [#up] plain standard characters outside the
+ `mathematical alphanumeric symbols` Unicode block.
+
+Naming scheme
+`````````````
+
+The naming scheme is an extension of the predefined `math alphabet`_
+commands with the established short-cuts:
+
+ .. class:: borderless
+
+ ===== ================================
+ bf bold
+ it italic
+ cal script (calligraphic)
+ frak fraktur
+ bb double-struck (blackboard bold)
+ sf sans serif
+ ===== ================================
+
+combined to commands in the form ``\math<type><weight><shape>``.
+
+The <*type*>, <*weight*>, and <*shape*> specifiers are optional
+(defaults depend on the `math version`_). Their order matches the
+names of Unicode `Mathematical Alphanumeric Symbols`_.
+
+Examples::
+
+ \mathbf{d} % MATHEMATICAL BOLD SMALL D
+ \mathsfbfit{d} % MATHEMATICAL SANS-SERIF BOLD ITALIC SMALL D.
+
+
+.. _Table 6:
+
+.. table:: LaTeX support for `mathematical alphanumeric symbols`_.
+
+ ============ ========================= ===========================
+ style math alphabet package, comment
+ ============ ========================= ===========================
+ plain [#up]_ ``\mathrm`` predefined [#no-g]_
+ .. ``\mathup`` unicode-math_
+ bf ``\mathbf`` predefined [#no-g]_
+ it ``\mathit`` predefined [#no-g]_
+ bf it ``\mathbfit`` isomath [#digits]_
+ .. ``\mathbold`` fixmath_, mathpazo_,
+ mathptmx_, tmmath_
+ [#digits]_
+ .. ``\boldsymbol`` amsmath_
+ .. ``\bm`` bm_
+ cal ``\mathcal`` predefined [#script]_
+ .. ``\mathscr`` mathrsfs_, euscript_,
+ mathdesign_
+ bf cal ``\mathbfscr`` unicode-math_
+ frak ``\mathfrak`` amssymb_, amsfonts_, eufrak_
+ bf frak ``\mathbffrak`` unicode-math_
+ bb ``\mathbb`` amssymb_, bbold_,
+ mathbbol_, mbboard_,
+ mathpazo_
+ .. ``\mathbbm`` bbm_
+ .. ``\mathds`` dsfont (doublestoke_)
+ sf ``\mathsf`` predefined [#no-g]_
+ sf bf ``\mathbfsfup`` unicode-math_
+ sf it ``\mathsfit`` isomath [#digits]_
+ sf bf it ``\mathsfbfit`` isomath [#digits]_
+ .. ``\mathbold`` cmbright_, hvmath_
+ .. ``\mathbfsfit`` unicode-math_
+ tt ``\mathtt`` predefined [#no-g]_
+ ============ ========================= ===========================
+
+.. [#no-g] no small Greek, full Greek with `OMLmath*`_ options.
+.. [#digits] Some italic math fonts (e. g., cmr, cmbr) have old-style
+ numbers in place of italic digits.
+.. [#script] no small Latin, formal script with calrsfs_, eucal_, fourier_
+
+
+The unicode-math package
+''''''''''''''''''''''''
+
+Users of UTF-8 enabled TeX engines (XeTeX, LuaTeX) can typeset
+mathematics with the experimental unicode-math_ package by Will
+Robertson. It provides a LaTeX interface to OpenType fonts with math
+support, e. g., `Asana Math`_, Cambria Math, `New Euler`_ or XITS_, with
+commands to access the complete mathematics character repertoire of the
+Unicode Standard
+
+LaTeX `math font selection`_ methods with unicode-math:
+
+`math alphabets`_
+ map to a range of the `mathematical alphanumeric symbols`_ block in the
+ current font (or a substitution defined with the ``range`` math font
+ option).
+
+ Some command names differ from the `predefined math alphabets`_ or the
+ above `naming scheme`_:
+
+ =============== ===============
+ LaTeX unicode-math
+ =============== ===============
+ ``\mathbf`` ``\mathbfup``
+ ``\mathsf`` ``\mathsfup``
+ ``\mathsfbf`` ``\mathbfsfup``
+ ``\mathsfbfit`` ``\mathbfsfit``
+ =============== ===============
+
+ With unicode-math, ``\mathbf``, ``\mathsf``, and ``\mathsfbf``
+ behave similar to `“in-line math versions”`_: they consider the
+ `math style`_ for upright vs. italic shape. Compatibility can be
+ achieved via the options ``bold-style=upright`` and
+ ``sans-style=upright``.
+
+ ``\mathbfsfit`` reverses the order of the ``sf`` and ``bf`` selectors,
+ so that, e. g., the Unicode character `MATHEMATICAL SANS-SERIF BOLD
+ ITALIC CAPITAL A` is selected by the non-mnemonic ``\mathbfsfit{A}``.
+
+`math versions`_
+ are not directly supported but easy to emulate.
+
+ As Unicode fonts can hold all math symbols in a single font file, a
+ single ``\setmathfont[<font features>]{<font name>}`` can replace
+ the ``\mathversion{<mathversion>}`` command if a complete OpenType
+ math font in the desired version is available.
+
+
+ However, complete OpenType math fonts are rare. Therefore
+ unicode-math supports using multiple fonts with the ``range``
+ option. This way one can emulate, e. g., the ``bold`` math version
+ via::
+
+ \renewcommand{\boldmath}{%
+ \setmathfont{XITS Bold}%
+ \setmathfont[range={"1D400-"1F020}]{XITS Math}%
+ \setmathfont[range=\mathup->\mathbfup]{XITS Math}%
+ \setmathfont[range=\mathsfit->\mathbfsfit]{XITS Math}%
+ % ...
+ }
+
+ It would be nice if unicode-math could provide a ``\newmathversion``
+ command similar to the ``\newfontfamily`` in fontspec_ for such setups.
+
+ For alphanumerical characters, the ``\mathbf``, ``\mathsf``, and
+ ``\mathsfbf`` behave like `“in-line math versions”`_.
+
+`math styles`_
+ are supported with the ``math-style`` package option that accepts the
+ values ``TeX``, ``ISO``, ``french``, ``upright``, and ``literal``.
Conclusions and outlook
~~~~~~~~~~~~~~~~~~~~~~~
-It is hoped, that in the future more fonts families will support the OML
-encoding in normal and bold weight as well as upright and italic shape.
-This would be a major step towards a LaTeX equivalent of the `Mathematical
-Alphanumeric Symbols`_ Unicode block.
+It is hoped, that in the future more fonts families will support the
+OML encoding in normal and bold weight as well as upright and italic
+shape. This would be a major step towards a LaTeX equivalent of the
+`mathematical alphanumeric symbols`_ Unicode block.
This should be (relatively) easy to achieve via virtual fonts when the
glyphs for the Greek letters already exist. Examples are Latin Modern,
-Kerkis, GFS-Neohellenic, LX-Fonts and KP-Serif.
+Kerkis, GFS Neohellenic, LX Fonts and KP-Serif.
-Alternatively, the T7 encoding could be used for math alphabets (if it ever
-happens to materialise).
+Alternatively, the T7 encoding could be used for math alphabets (if it
+ever happens to materialise).
-Upright small Greek letters in ``\mathrm`` would enable the specification of
-the constant pi, Myons, Pions, alpha-particles, photons, and neutrinos
-without special packages. (With mathdesign_, this is already possible
-today.)
+Upright small Greek letters in ``\mathrm`` would enable the
+specification of the constant pi, Myons, Pions, alpha-particles,
+photons, and neutrinos with `math alphabets`_. (With mathdesign_
+fonts, this is already possible today.)
+With the development of the unicode-math_ package, an interesting
+alternative for ISO-conforming math typesetting became available to
+users of Unicode-enabled TeX engines (XeTeX or LuaTeX).
References
----------
-.. [ISO-31] International Standard 31 `Quantities and units`,
- (ISO 31-0:1992 to ISO 31-14:1992):
- http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_tc_browse.htm?commid=46202
+.. [ISO-80000-2] `Quantities and units – Part 2: Mathematical signs
+ and symbols to be used in the natural sciences and technology`:
+ http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=31887.
+
+.. [ISO-31] `Quantities and units`, Superseded by [ISO-80000].
-.. [typefaces] `Typefaces for Symbols in Scientific Manuscripts`:
- http://physics.nist.gov/Document/typefaces.pdf
+.. [typefaces] National Institute of Standards and Technology (NIST_),
+ `Typefaces for Symbols in Scientific Manuscripts`:
+ http://physics.nist.gov/cuu/pdf/typefaces.pdf.
-.. [checklist] `SI Unit rules and style conventions`
+.. [checklist] National Institute of Standards and Technology (NIST_),
+ `SI Unit rules and style conventions`
Check List for Reviewing Manuscripts:
- http://physics.nist.gov/cuu/Units/checklist.html
+ http://physics.nist.gov/cuu/Units/checklist.html.
-.. [fonts_for_symbols] `On the use of italic and roman fonts for symbols
+.. [fonts_for_symbols] International Union of Pure and Applied
+ Chemistry (IUPAC_), `On the use of italic and roman fonts for symbols
in scientific text`, (Revised December 1999):
- http://old.iupac.org/standing/idcns/fonts_for_symbols.html
+ http://old.iupac.org/standing/idcns/fonts_for_symbols.html.
+
+.. [SI] Bureau international des poids et mesures (BIPM_),
+ `The International System of Units (SI)`:
+ http://www.bipm.org/en/si/si_brochure/.
+
+.. [Green-Book] International Union of Pure and Applied Chemistry (IUPAC_),
+ `Quantities, Units and Symbols in Physical Chemistry`,
+ 3rd edition, RSC Publishing, Cambridge 2007:
+ [ISBN 0 85404 433 7; ISBN-13 978 0 85404 433 7].
-.. [SI-brochure] `The International System of Units (SI)`:
- http://www.bipm.org/en/si/si_brochure/
+.. [Red-Book] International Union of Pure and Applied Physics (IUPAP_),
+ `Symbols, Units, Nomenclature and Fundamental Constants in Physics`:
+ http://metrology.wordpress.com/measurement-process-index/iupap-red-book/index-iupap-red-book/.
-.. [encguide] `LaTeX font encodings`:
- http://mirror.ctan.org/macros/latex/doc/encguide.pdf
+.. [encguide] Frank Mittelbach, Robin Fairbairns, Werner Lemberg,
+ LaTeX3 Project Team, `LaTeX font encodings`:
+ http://mirror.ctan.org/macros/latex/doc/encguide.pdf.
-.. [fntguide] `LaTeX 2e font selection`:
- http://mirror.ctan.org/macros/latex/doc/fntguide.pdf
+.. [fntguide] LaTeX3 Project Team, `LaTeX 2e font selection`:
+ http://mirror.ctan.org/macros/latex/doc/fntguide.pdf.
-.. [tr25] `Unicode Support for Mathematics`, Unicode Technical Report #25:
- http://www.unicode.org/reports/tr25/
+.. [tr25] Barbara Beeton, Asmus Freytag, Murray Sargent III,
+ `Unicode Support for Mathematics`, Unicode Technical Report #25:
+ http://www.unicode.org/reports/tr25/.
.. [beeton:2000] Barbara Beeton:
`Unicode and math, a combination whose time has come – Finally!`,
- TUGBoat, 21#3, 2000. available:
+ TUGBoat, 21#3, 2000:
http://www.tug.org/TUGboat/Articles/tb21-3/tb68beet.pdf.
.. see also
- [koma-mail] Custom font substitution: http://www.komascript.de/node/823
-
- [Green-Book] `Quantities, Units and Symbols in Physical Chemistry`,
- 3rd edition, RSC Publishing, Cambridge 2007:
- [ISBN 0 85404 433 7; ISBN-13 978 0 85404 433 7]
+ [koma-mail] Custom font substitution: http://www.komascript.de/node/823.
.. Links
=====
-.. Print external links as footnotes (currently errors with LaTeX)
- .. target-notes::
-
-.. _LaTeX Project Public License: http://www.latex-project.org/lppl.txt
.. _BIPM: http://www.bipm.org/
.. _IUPAC: http://iupac.org/
.. _IUPAP: http://www.iupap.org/
+.. _LaTeX Project Public License: http://www.latex-project.org/lppl.txt
+.. _Jens-Peer Kuska: http://phong.informatik.uni-leipzig.de/~kuska/
.. _NIST: http://physics.nist.gov/
-.. _mathematical alphanumeric symbols:
+.. _mathematical alphanumeric symbols unicode block:
http://www.unicode.org/charts/PDF/U1D400.pdf
-.. _amsbsy: http://dante.ctan.org/CTAN/help/Catalogue/entries/amsbsy.html
-.. _amsmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/amsmath.html
-.. _arev: http://dante.ctan.org/CTAN/help/Catalogue/entries/arev.html
-.. _bm: http://dante.ctan.org/CTAN/help/Catalogue/entries/bm.html
-.. _cmbright: http://dante.ctan.org/CTAN/help/Catalogue/entries/cmbright.html
-.. _eulervm: http://dante.ctan.org/CTAN/help/Catalogue/entries/eulervm.html
-.. _fixmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html
-.. _fix-cm: http://dante.ctan.org/CTAN/help/Catalogue/entries/fix-cm.html
-.. _fourier: http://dante.ctan.org/CTAN/help/Catalogue/entries/fourier.html
-.. _hvmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/hvmath.html
-.. _hfbright: http://dante.ctan.org/CTAN/help/Catalogue/entries/hfbright.html
-.. _ifthen: http://dante.ctan.org/CTAN/help/Catalogue/entries/ifthen.html
-.. _iwona: http://dante.ctan.org/CTAN/help/Catalogue/entries/iwona.html
-.. _kpfonts: http://dante.ctan.org/CTAN/help/Catalogue/entries/kpfonts.html
-.. _kvoptions: http://dante.ctan.org/CTAN/help/Catalogue/entries/kvoptions.html
-.. _keyval: http://dante.ctan.org/CTAN/help/Catalogue/entries/keyval.html
-.. _lxfonts: http://dante.ctan.org/CTAN/help/Catalogue/entries/lxfonts.html
-.. _mathdesign: http://dante.ctan.org/CTAN/help/Catalogue/entries/mathdesign.html
-.. _mathpazo: http://dante.ctan.org/CTAN/help/Catalogue/entries/mathpazo.html
-.. _oberdiek: http://dante.ctan.org/CTAN/help/Catalogue/entries/oberdiek.html
+.. _amsbsy: http://mirror.ctan.org/help/Catalogue/entries/amsbsy.html
+.. _amsfonts: http://mirror.ctan.org/help/Catalogue/entries/amsfonts.html
+.. _amsmath: http://mirror.ctan.org/help/Catalogue/entries/amsmath.html
+.. _amssymb: http://mirror.ctan.org/help/Catalogue/entries/amssymb.html
+.. _arev: http://mirror.ctan.org/help/Catalogue/entries/arev.html
+.. _Asana Math: http://mirror.ctan.org/help/Catalogue/entries/asana-math.html
+.. _bm: http://mirror.ctan.org/help/Catalogue/entries/bm.html
+.. _bbm: http://mirror.ctan.org/help/Catalogue/entries/bbm.html
+.. _bbold: http://mirror.ctan.org/help/Catalogue/entries/bbold.html
+.. _calrsfs: http://mirror.ctan.org/help/Catalogue/entries/calrsfs.html
+.. _cmbright: http://mirror.ctan.org/help/Catalogue/entries/cmbright.html
+.. _doublestoke: http://mirror.ctan.org/help/Catalogue/entries/doublestoke.html
+.. _eucal: http://mirror.ctan.org/help/Catalogue/entries/eucal.html
+.. _eufrak: http://mirror.ctan.org/help/Catalogue/entries/eufrak.html
+.. _eulervm: http://mirror.ctan.org/help/Catalogue/entries/eulervm.html
+.. _euscript: http://mirror.ctan.org/help/Catalogue/entries/euscript.html
+.. _fixmath: http://mirror.ctan.org/help/Catalogue/entries/fixmath.html
+.. _fix-cm: http://mirror.ctan.org/help/Catalogue/entries/fix-cm.html
+.. _fourier: http://mirror.ctan.org/help/Catalogue/entries/fourier.html
+.. _fontspec: http://mirror.ctan.org/help/Catalogue/entries/fontspec.html
+.. _hvmath: http://mirror.ctan.org/help/Catalogue/entries/hvmath.html
+.. _hfbright: http://mirror.ctan.org/help/Catalogue/entries/hfbright.html
+.. _ifthen: http://mirror.ctan.org/help/Catalogue/entries/ifthen.html
+.. _iwona: http://mirror.ctan.org/help/Catalogue/entries/iwona.html
+.. _kpfonts: http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html
+.. _kvoptions: http://mirror.ctan.org/help/Catalogue/entries/kvoptions.html
+.. _keyval: http://mirror.ctan.org/help/Catalogue/entries/keyval.html
+.. _lxfonts: http://mirror.ctan.org/help/Catalogue/entries/lxfonts.html
+.. _lucimatx: http://pctex.com/files/managed/b/bf/lucimatxAbbrev.pdf
+.. _mathbbol: http://mirror.ctan.org/help/Catalogue/entries/mathbbol.html
+.. _mbboard: http://mirror.ctan.org/help/Catalogue/entries/mbboard.html
+.. _mathdesign: http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html
+.. _mathpazo: http://mirror.ctan.org/help/Catalogue/entries/mathpazo.html
+.. _mathptmx: http://mirror.ctan.org/help/Catalogue/entries/mathptmx.html
+.. _mathrsfs: http://mirror.ctan.org/help/Catalogue/entries/mathrsfs.html
+.. _New Euler: https://github.com/khaledhosny/euler-otf
+.. _pxfonts: http://mirror.ctan.org/help/Catalogue/entries/pxfonts.html
.. _sfmath: http://dtrx.de/od/tex/sfmath.html
-.. _pxfonts: http://dante.ctan.org/CTAN/help/Catalogue/entries/pxfonts.html
-.. _tmmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/tmmath.html
-.. _txfonts: http://dante.ctan.org/CTAN/help/Catalogue/entries/txfonts.html
+.. _tmmath: http://mirror.ctan.org/help/Catalogue/entries/tmmath.html
+.. _txfonts: http://mirror.ctan.org/help/Catalogue/entries/txfonts.html
+.. _unicode-math:
+ http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html
+.. _upgreek: http://mirror.ctan.org/help/Catalogue/entries/upgreek.html
+.. _wrisym: http://phong.informatik.uni-leipzig.de/~kuska/wri_texmf_4.2.zip
+.. _XITS: http://mirror.ctan.org/help/Catalogue/entries/xits.html