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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /macros/latex/contrib/isomath
Initial commit
Diffstat (limited to 'macros/latex/contrib/isomath')
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-rw-r--r--macros/latex/contrib/isomath/README.html880
-rw-r--r--macros/latex/contrib/isomath/README.txt100
-rw-r--r--macros/latex/contrib/isomath/isomath-test.pdfbin0 -> 147158 bytes
-rw-r--r--macros/latex/contrib/isomath/isomath-test.tex283
-rw-r--r--macros/latex/contrib/isomath/isomath.html2585
-rw-r--r--macros/latex/contrib/isomath/isomath.pdfbin0 -> 475097 bytes
-rw-r--r--macros/latex/contrib/isomath/isomath.sty372
-rw-r--r--macros/latex/contrib/isomath/isomath.sty.html1214
-rw-r--r--macros/latex/contrib/isomath/isomath.sty.txt372
-rw-r--r--macros/latex/contrib/isomath/isomath.txt1113
11 files changed, 6920 insertions, 0 deletions
diff --git a/macros/latex/contrib/isomath/README b/macros/latex/contrib/isomath/README
new file mode 120000
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--- /dev/null
+++ b/macros/latex/contrib/isomath/README
@@ -0,0 +1 @@
+README.txt \ No newline at end of file
diff --git a/macros/latex/contrib/isomath/README.html b/macros/latex/contrib/isomath/README.html
new file mode 100644
index 0000000000..708196e29f
--- /dev/null
+++ b/macros/latex/contrib/isomath/README.html
@@ -0,0 +1,880 @@
+<?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 0.10: http://docutils.sourceforge.net/" />
+<title>isomath</title>
+<meta name="date" content="2012-09-04" />
+<meta name="copyright" content="© 2008, 2012 Günter Milde &lt;milde&#64;users.sf.net&gt;" />
+<style type="text/css">
+
+/*
+:Author: David Goodger (goodger@python.org)
+:Id: $Id: html4css1.css 7434 2012-05-11 21:06:27Z 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,
+div.important p.admonition-title, div.note p.admonition-title,
+div.tip p.admonition-title {
+ font-weight: bold ;
+ font-family: sans-serif }
+
+div.attention p.admonition-title, div.caution p.admonition-title,
+div.danger p.admonition-title, div.error p.admonition-title,
+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 }
+
+div.figure {
+ margin-left: 2em ;
+ margin-right: 2em }
+
+div.footer, div.header {
+ clear: both;
+ font-size: smaller }
+
+div.line-block {
+ display: block ;
+ margin-top: 1em ;
+ margin-bottom: 1em }
+
+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 }
+
+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, pre.math, pre.code {
+ margin-left: 2em ;
+ margin-right: 2em }
+
+pre.code .ln { /* line numbers */
+ color: grey;
+}
+
+.code {
+ background-color: #eeeeee
+}
+
+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 }
+
+span.option {
+ white-space: nowrap }
+
+span.pre {
+ white-space: pre }
+
+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 }
+
+table.docutils th.field-name, table.docinfo th.docinfo-name {
+ font-weight: bold ;
+ text-align: left ;
+ white-space: nowrap ;
+ padding-left: 0 }
+
+h1 tt.docutils, h2 tt.docutils, h3 tt.docutils,
+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;
+}
+.compact li, .compact p, .compact ul, .compact ol
+dl.simple > dd, .simple li, .simple p, .simple ul, .simple ol {
+ margin-top: 0;
+ margin-bottom: 0;
+/* background: magenta; */
+}
+dl.simple, dl.compact, dl.simple > dd, dl.compact > dd {
+ margin-top: 0;
+ margin-bottom: 0;
+/* background: lightgreen; */
+}
+
+/* space around paragraphs */
+dl > dd p:first-child, td > p {
+ margin: 0;
+}
+
+/* Sidebar */
+/* ------- */
+
+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,
+dl.footnote > dt, dl.citation > dt, dl.description > dt {
+ clear: left;
+ float: left;
+ margin: 0;
+ 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 */
+dl.field-list > dd p {
+ 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, */
+dl.field-list > dd > dl:first-child {
+ display: inline-block;
+}
+
+/* field-list variants:: */
+
+/* example for custom field-name width */
+dl.field-list.narrow > dd {
+ margin-left: 5em;
+}
+
+/* start field-body on same line after long field names */
+dl.field-list.run-in > dd p {
+ display: block;
+}
+
+/* wrap or truncate long field names */
+dl.field-list.fix-labelwidth > dt {
+ width: 8em; /* set to dl.field-list > dd margin-left - padding-left */
+ overflow: hidden;
+}
+dl.field-list.fix-labelwidth > dd:after {
+ /* a "stopper" to prevent next dd floating up too far */
+ content: '';
+ display: block;
+ clear: left;
+}
+
+/* docinfo */
+
+dl.docinfo > dd {
+ 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, ol.arabic, ol.loweralpha, ol.upperalpha,
+ol.lowerroman, ol.upperroman {
+ counter-reset: item;
+ list-style: none
+}
+
+/* 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, ".") " ";
+}
+
+/* lists nested in definition list */
+
+dd > ul, dd > ol {
+ padding-left: 0pt;
+}
+
+/* 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 {
+/* background: magenta; */
+ margin-top: 1em ;
+ margin-bottom: 1em;
+/* border-style: outset; */
+ border-style: solid;
+ border-color: silver;
+ border-width: thin;
+ border-collapse: collapse;
+}
+blockquote > table {
+ margin-top: 0em ;
+ margin-bottom: 0em;
+}
+
+td, th {
+ border-style: solid;
+ border-width: thin;
+ border-color: silver;
+ /* 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;
+}
+
+table.booktabs * {
+ border: 0;
+}
+table.booktabs th {
+ border-bottom: thin solid;
+}
+
+table > caption {
+ text-align: left;
+ margin-bottom: 0.25em
+/* 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;
+}
+
+/* let borderless overreide booktab */
+.booktabs.borderless,
+table.booktabs.borderless td, table.booktabs.borderless th {
+ border: 0;
+ margin-left: 2em;
+ }
+
+table.docutils td, table.docutils th,
+ vertical-align: bottom; }
+
+</style>
+</head>
+<body>
+<div class="document" id="isomath">
+<h1 class="title">isomath</h1>
+<h2 class="subtitle" id="mathematical-style-for-science-and-technology">Mathematical style for science and technology</h2>
+
+<dl class="docinfo simple">
+<dt class="date">Date</dt>
+<dd class="date">2012-09-04</dd>
+<dt class="copyright">Copyright</dt>
+<dd class="copyright">© 2008, 2012 Günter Milde &lt;<a class="reference external" href="mailto:milde&#64;users.sf.net">milde&#64;users.sf.net</a>&gt;</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 provides tools for a mathematical style
+that conforms to the International Standard ISO&nbsp;80000-2 and is
+common in science and technology: capital Greek letters in italic
+shape, bold italic and sans-serif bold italic math alphabets with
+Latin and Greek characters, and macros for markup of vector,
+matrix and tensor symbols.</p>
+</div>
+<div class="section" id="files">
+<h1>Files</h1>
+<table class="booktabs numbered align-left">
+<colgroup>
+<col width="32%" />
+<col width="68%" />
+</colgroup>
+<tbody>
+<tr><td><p>README.txt</p></td>
+<td><p>Requirements, Installation, Usage</p></td>
+</tr>
+<tr><td><p>README.html</p></td>
+<td><p>Requirements, Installation, Usage (HTML)</p></td>
+</tr>
+<tr><td><p>isomath.sty</p></td>
+<td><p>literate source (the actual LaTeX package)</p></td>
+</tr>
+<tr><td><p>isomath.sty.txt</p></td>
+<td><p>literate source (text version)</p></td>
+</tr>
+<tr><td><p>isomath.sty.html</p></td>
+<td><p>literate source (HTML)</p></td>
+</tr>
+<tr><td><p>isomath.txt</p></td>
+<td><p>user documentation (source)</p></td>
+</tr>
+<tr><td><p>isomath.html</p></td>
+<td><p>user documentation (HTML)</p></td>
+</tr>
+<tr><td><p>isomath.pdf</p></td>
+<td><p>user documentation (PDF)</p></td>
+</tr>
+<tr><td><p>isomath-test.tex</p></td>
+<td><p>Test example (source)</p></td>
+</tr>
+<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="literal">isomath.sty</tt> and <tt class="literal">isomath.sty.txt</tt>.</p>
+<p>The <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://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>
+<p>If possible, get this package from your distribution using its installation
+manager.</p>
+<p>Otherwise, make sure LaTeX can find the file <cite>isomath.sty</cite>:</p>
+<ul class="simple">
+<li><p>Download and unpack <cite>isomath.zip</cite> or just download <cite>isomath.sty</cite>.</p></li>
+<li><p>Copy/Move/Link <tt class="literal">isomath.sty</tt> 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>
+<p>Load the package and (optionally) change the default <tt class="literal">\vec</tt> macro with:</p>
+<pre class="literal-block">\usepackage{isomath}
+\renewcommand{\vec}{\vectorsym} % optional
+</pre>
+<p>Option description, more examples and usage hints are in the <a class="reference external" href="isomath.sty.html">user
+documentation</a>.</p>
+<!-- References
+========== -->
+</div>
+</div>
+</body>
+</html>
diff --git a/macros/latex/contrib/isomath/README.txt b/macros/latex/contrib/isomath/README.txt
new file mode 100644
index 0000000000..107c024a5d
--- /dev/null
+++ b/macros/latex/contrib/isomath/README.txt
@@ -0,0 +1,100 @@
+isomath
+*******
+Mathematical style for science and technology
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+:Author: Günter Milde
+:Date: 2012-09-10
+:Copyright: © 2008, 2012 Günter Milde <milde@users.sf.net>
+: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 provides tools for a mathematical style
+ that conforms to the International Standard ISO 80000-2 and is
+ common in science and technology. It changes the default shape of
+ capital Greek letters to italic, sets up bold italic and
+ sans-serif bold italic math alphabets with Latin and Greek
+ characters, and defines macros for markup of vector, matrix and
+ tensor symbols.
+
+Files
+=====
+
+==================== =================================
+README.txt Requirements, Installation, Usage
+README.html Requirements, Installation, Usage (HTML)
+
+isomath.sty literate source (the actual LaTeX package)
+isomath.sty.txt literate source (text version)
+isomath.sty.html literate source (HTML)
+
+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)
+==================== =================================
+
+The bidirectional text <-> code converter PyLit_ can convert between
+``isomath.sty`` and ``isomath.sty.txt``.
+
+The Docutils_ and pdflatex were used to generate the HTML and PDF
+documentation from the reStructuredText_ sources.
+
+
+Requirements
+============
+
+This package builds on and extends fixmath_ by Walter Schmidt.
+It also requires kvoptions_.
+
+The cmbright_ package is recommended for *sans-serif italic* and *sans-serif
+bold italic* fonts matching with Computer Modern and derivatives.
+
+All required packages are part of TeXLive and MikTeX.
+
+
+Installation
+============
+
+If possible, get this package from your distribution using its installation
+manager.
+
+Otherwise, make sure LaTeX can find the file `isomath.sty`:
+
+* Download and unpack `isomath.zip` or just download `isomath.sty`.
+
+* Copy/Move/Link ``isomath.sty`` to a suitable place in the TDS_ and run
+ ``texhash``, or place it in the current working directory (e.g. for
+ testing).
+
+
+
+Usage
+=====
+
+Load the package and (optionally) change the default ``\vec`` macro with::
+
+ \usepackage{isomath}
+ \renewcommand{\vec}{\vectorsym} % optional
+
+Option description, more examples and usage hints are in the `user
+documentation`_.
+
+.. References
+ ==========
+
+.. _LaTeX Project Public License: http://www.latex-project.org/lppl.txt
+.. _PyLit: http://pylit.berlios.de
+.. _reStructuredText: http://docutils.sourceforge.net/rst.html
+.. _Docutils: http://docutils.sourceforge.net/rst.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
+
+.. _user documentation: isomath.sty.html
diff --git a/macros/latex/contrib/isomath/isomath-test.pdf b/macros/latex/contrib/isomath/isomath-test.pdf
new file mode 100644
index 0000000000..083afc40d1
--- /dev/null
+++ b/macros/latex/contrib/isomath/isomath-test.pdf
Binary files differ
diff --git a/macros/latex/contrib/isomath/isomath-test.tex b/macros/latex/contrib/isomath/isomath-test.tex
new file mode 100644
index 0000000000..daed2193a5
--- /dev/null
+++ b/macros/latex/contrib/isomath/isomath-test.tex
@@ -0,0 +1,283 @@
+% isomath-test.tex: test and template for isomath.sty
+% ===================================================
+%
+% Copyright © 2008 Günter Milde
+% Released under the terms of the GNU General Public License (v. 2 or later)
+%
+% General settings
+% ----------------
+% ::
+
+\documentclass[a4paper]{article}
+\usepackage[T1]{fontenc}
+% \usepackage[utf8]{inputenc}
+\usepackage{amsmath}
+\pagestyle{empty}
+
+
+% Customisation
+% -------------
+%
+% Font packages
+% ~~~~~~~~~~~~~
+%
+% (Auxiliary commands for package and option selection, so that the
+% selections can be shown in the test sheet.)
+%
+% Uncomment the package you want to test ::
+
+\newcommand*{\fontsetup}{\usepackage%
+% {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)
+% [default]{gfsneohellenic}% no bold
+% {hfoldsty}% bitmap fonts
+% {iwona}% sets cmss as sans font (use iwona)
+% [nomathscript]{kpfonts}% "Too many math alphabets" with OMLmathsfit option
+% {kerkis}% no bold math,
+% {lmodern}% \sfdefault is cmss
+% {lucidabr}% commercial, subset (no math) free as bitmap
+% {lxfonts}% normal and sans identic,
+[utopia]{mathdesign}% \sfdefault is cmss, provides roman and roman-bold in OML
+% [charter]{mathdesign}%
+% [garamond]{mathdesign}%
+% {mathptmx}% in mathnormal, Greek is larger than Latin!
+% {mbtimes}% \sfdefault is cmss
+% {mathpazo}% \sfdefault is cmss
+% {newcent}% \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
+}
+
+% Isomath setup
+% ~~~~~~~~~~~~~
+%
+% Uncomment the option(s) you want to test ::
+
+\newcommand*{\isomathsetup}{\usepackage[%
+% reuseMathAlphabets,%
+OMLmathrm,%
+OMLmathbf,%
+% OMLmathsf,%
+% OMLmathsfit,%
+% OMLmathtt,%
+% OMLmathsans,% backwards compatibility option alias
+% rmdefault=zpple,% Mathpazo alternative
+% rmdefault=qtxmia,% TeX Gyre Termes math with alternative glyphs
+% sfdefault=cmbr,% default
+% sfdefault=iwona,% Iwona sans (Greek glyphs too close to roman)
+sfdefault=fav,% Arev sans (scale down (ca. 0.87))
+scaled=0.875% scaling for Arev (small letters)
+% sfdefault=llcmss,% LX sans (glyphs too close to italic, scale down)
+% sfdefault=jkpss,% Kepler Sans
+% scaled=0.95% scaling for Kepler Sans (small letters)
+]{isomath}%
+}
+
+% Load customisable packages
+% --------------------------
+% ::
+
+\fontsetup
+\isomathsetup
+
+% Auxiliary definitions
+% ---------------------
+%
+% Re-define \vec to comply with ISO 31::
+
+\renewcommand*{\vec}{\vectorsym}
+
+% Fall-back definition for \mathsfit::
+
+\providecommand*{\mathsfit}[1]%
+{\emph{mathsfit not defined (requires \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
+% ----------
+% ::
+
+\begin{document}
+
+\section*{Test the isomath Package}
+
+
+% Print font package, isomath options, and resulting font families::
+
+Font Setup: \detokenize\expandafter{\fontsetup}\\
+Isomath: \detokenize\expandafter{\isomathsetup}\\
+Default font families:
+\makeatletter
+\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
+
+% A teststring with Latin and Greek letters::
+
+\newcommand{\teststring}{%
+% capital Latin letters
+A,B,C,
+% capital Greek letters
+\Gamma,\Delta,\Theta,\Lambda,\Xi,\Pi,\Sigma,\Upsilon,\Phi,\Psi,\Omega,
+% small Greek letters
+\alpha,\beta,\pi,\nu,\omega,
+% small Latin letters:
+% compare \nu, \omega, v, and w
+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}\\
+\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: \[
+\vec{D}=\epsilon_{0}\tensorsym{\epsilon}_{\mathrm{r}}\vec{E}\]
+
+
+\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/macros/latex/contrib/isomath/isomath.html b/macros/latex/contrib/isomath/isomath.html
new file mode 100644
index 0000000000..1d31f461d7
--- /dev/null
+++ b/macros/latex/contrib/isomath/isomath.html
@@ -0,0 +1,2585 @@
+<?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 0.10: http://docutils.sourceforge.net/" />
+<title>isomath</title>
+<meta name="author" content="Günter Milde" />
+<meta name="date" content="2012-09-04" />
+<meta name="copyright" content="© 2008, 2012 Günter Milde" />
+<style type="text/css">
+
+/*
+:Author: David Goodger (goodger@python.org)
+:Id: $Id: html4css1.css 7434 2012-05-11 21:06:27Z 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,
+div.important p.admonition-title, div.note p.admonition-title,
+div.tip p.admonition-title {
+ font-weight: bold ;
+ font-family: sans-serif }
+
+div.attention p.admonition-title, div.caution p.admonition-title,
+div.danger p.admonition-title, div.error p.admonition-title,
+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 }
+
+div.figure {
+ margin-left: 2em ;
+ margin-right: 2em }
+
+div.footer, div.header {
+ clear: both;
+ font-size: smaller }
+
+div.line-block {
+ display: block ;
+ margin-top: 1em ;
+ margin-bottom: 1em }
+
+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 }
+
+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 ;
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+<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 */
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+/* General rules */
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+ margin: 8px 0;
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+/* ------- */
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+ display: inline-block;
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+/* sub, sup {font-size: 70%;} */ /* Mozilla default is `smaller` */
+
+
+/* Tables */
+/* ====== */
+
+/* margins and borders for "normal" tables */
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+/* background: magenta; */
+ margin-top: 1em ;
+ margin-bottom: 1em;
+/* border-style: outset; */
+ border-style: solid;
+ border-color: silver;
+ border-width: thin;
+ border-collapse: collapse;
+}
+blockquote > table {
+ margin-top: 0em ;
+ margin-bottom: 0em;
+}
+
+td, th {
+ border-style: solid;
+ border-width: thin;
+ border-color: silver;
+ /* text-align: left; */
+ padding: 0 1ex;
+}
+
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+ 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;
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+table.booktabs th {
+ border-bottom: thin solid;
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+
+table > caption {
+ text-align: left;
+ margin-bottom: 0.25em
+/* 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; }
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+}
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+ font-size: larger;
+ text-align: center;
+ padding-bottom: 1em;
+}
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+ display: none;
+}
+dt.date + dd {
+ font-weight: bold;
+ text-align: center;
+ padding-bottom: 1em;
+}
+
+div.abstract {
+ padding: 0 5%;
+}
+
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+ 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;
+}
+
+/* let borderless overreide booktab */
+.booktabs.borderless,
+table.booktabs.borderless td, table.booktabs.borderless th {
+ border: 0;
+ margin-left: 2em;
+ }
+
+table.docutils td, table.docutils th,
+ vertical-align: bottom; }
+
+</style>
+</head>
+<body>
+<div class="document" id="isomath">
+<h1 class="title">isomath</h1>
+<h2 class="subtitle" id="mathematical-style-for-science-and-technology">Mathematical style for science and technology</h2>
+
+<dl class="docinfo simple">
+<dt class="author">Author</dt>
+<dd class="author">Günter Milde</dd>
+<dt class="date">Date</dt>
+<dd class="date">2012-09-04</dd>
+<dt class="copyright">Copyright</dt>
+<dd class="copyright">© 2008, 2012 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 provides tools for a mathematical style
+that conforms to the International Standard ISO&nbsp;80000-2 and is
+common in science and technology. It changes the default shape of
+capital Greek letters to italic, sets up bold italic and
+sans-serif bold italic math alphabets with Latin and Greek
+characters, and defines macros for markup of vector, matrix and
+tensor symbols.</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="id36"><span class="sectnum">1</span> Features</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#iso-math-style" id="id37"><span class="sectnum">1.1</span> “ISO” math style</a></p></li>
+<li><p><a class="reference internal" href="#new-math-alphabets" id="id38"><span class="sectnum">1.2</span> New math alphabets</a></p></li>
+<li><p><a class="reference internal" href="#semantic-markup" id="id39"><span class="sectnum">1.3</span> Semantic markup</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#usage" id="id40"><span class="sectnum">2</span> Usage</a></p>
+<ul class="auto-toc">
+<li><p><a class="reference internal" href="#options" id="id41"><span class="sectnum">2.1</span> Options</a></p></li>
+<li><p><a class="reference internal" href="#examples" id="id42"><span class="sectnum">2.2</span> Examples</a></p></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></li>
+<li><p><a class="reference internal" href="#oml-font-encoding" id="id50"><span class="sectnum">4.2</span> OML font encoding</a></p></li>
+<li><p><a class="reference internal" href="#unicode-mathematical-typesetting" id="id51"><span class="sectnum">4.3</span> Unicode mathematical typesetting</a></p></li>
+<li><p><a class="reference internal" href="#conclusions-and-outlook" id="id52"><span class="sectnum">4.4</span> Conclusions and outlook</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#references" id="id53"><span class="sectnum">5</span> References</a></p></li>
+</ul>
+</div>
+<div class="section" id="features">
+<h1><a class="toc-backref" href="#id36"><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>In their style guides, e. g. <a class="citation-reference" href="#typefaces" id="id1">[typefaces]</a>, <a class="citation-reference" href="#checklist" id="id2">[checklist]</a>, <a class="citation-reference" href="#si" id="id3">[SI]</a>,
+<a class="citation-reference" href="#fonts-for-symbols" id="id4">[fonts_for_symbols]</a>, <a class="citation-reference" href="#red-book" id="id5">[Red-Book]</a>, <a class="citation-reference" href="#green-book" id="id6">[Green-Book]</a>, many international
+scientific organisations recommend layout rules for mathematics in line with
+the International Standard <a class="citation-reference" href="#iso-80000-2" id="id7">[ISO-80000-2]</a>.</p>
+<div class="admonition-international-standard-layout-rules admonition">
+<p class="admonition-title">International standard layout rules</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 and matrices are bold italic, symbols for tensors
+are sans-serif bold italic.</p></li>
+<li><p>The above rules apply equally to letter symbols from the Greek and the
+Latin alphabet.</p></li>
+</ul>
+</div>
+<!-- The recommendations in this standard are intended mainly for use in the
+natural sciences and technology, but also apply to other areas where
+mathematics is used. -->
+<p>TeX's default mathematical style deviates from this rules in several
+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-alphabet">math
+alphabet</a> commands, and</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>, provides <a class="reference internal" href="#new-math-alphabets">new math
+alphabets</a> with <em>bold italic</em> and <em>sans-serif bold italic</em> type and macros
+for <a class="reference internal" href="#semantic-markup">semantic markup</a> of vector, matrix and tensor symbols. It can be
+combined with most packages for mathematical typesetting (see
+<a class="reference external" href="isomath-test.tex">isomath-test.tex</a> and the sections on <a class="reference internal" href="#alternatives">alternatives</a> and <a class="reference internal" href="#conflicts">conflicts</a>).</p>
+<div class="section" id="iso-math-style">
+<h2><a class="toc-backref" href="#id37"><span class="sectnum">1.1</span> “ISO” math style</a></h2>
+<p>Isomath builds on the package <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/fixmath.html">fixmath</a> by Walter Schmidt to change the
+default mathematics layout to the “ISO” <a class="reference internal" href="#math-style">math style</a>:</p>
+<ul class="simple">
+<li><p>Capital Greek letters are typeset in italic shape 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>
+<div class="caution">
+<p class="admonition-title">Caution!</p>
+<p>Be careful with Greek letters in the argument of <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>. By default, these <a class="reference internal" href="#math-alphabets">math
+alphabets</a> use text fonts. Fonts in OT1 text font encoding have capital
+(but not small) Greek letters at the expected places, T1 encoded text fonts
+have no Greek letters at all.</p>
+<p>See the <a class="reference internal" href="#examples">examples</a> section on <a class="reference internal" href="#how-to-get-upright-small-greek-letters">how to get upright small Greek letters</a> in
+mathematical context.</p>
+</div>
+</div>
+<div class="section" id="new-math-alphabets">
+<h2><a class="toc-backref" href="#id38"><span class="sectnum">1.2</span> New math alphabets</a></h2>
+<p><cite>Isomath</cite> defines the new <a class="reference internal" href="#math-alphabets">math alphabets</a>:</p>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="21%" />
+<col width="31%" />
+<col width="47%" />
+</colgroup>
+<tbody>
+<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>
+<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>
+<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 upright old-style
+numbers instead of italic ones, because some italic math fonts (e. g.,
+<tt class="literal">cmr</tt>, <tt class="literal">cmbr</tt>) contain old-style in place of italic digits.</p>
+</div>
+</div>
+<div class="section" id="semantic-markup">
+<h2><a class="toc-backref" href="#id39"><span class="sectnum">1.3</span> Semantic markup</a></h2>
+<p>The following commands set the argument in an ISO-conforming <a class="reference internal" href="#math-alphabet">math alphabet</a>:</p>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="39%" />
+<col width="61%" />
+</colgroup>
+<tbody>
+<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>
+</div>
+</div>
+<div class="section" id="usage">
+<h1><a class="toc-backref" href="#id40"><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:</p>
+<pre class="literal-block">\usepackage{isomath}
+</pre>
+<p>Optionally redefine the standard vector macro <tt class="literal">\vec</tt>:</p>
+<pre class="literal-block">\renewcommand{\vec}{\vectorsym}
+</pre>
+<p>(see also <a class="reference internal" href="#options">Options</a>, <a class="reference internal" href="#examples">Examples</a>, and <a class="reference external" href="isomath-test.tex">isomath-test.tex</a>).</p>
+<div class="section" id="options">
+<h2><a class="toc-backref" href="#id41"><span class="sectnum">2.1</span> Options</a></h2>
+<div class="section" id="rmdefault">
+<h3><span class="sectnum">2.1.1</span> rmdefault</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><span class="sectnum">2.1.2</span> sfdefault</h3>
+<p>Family for sans-serif math fonts. The default is <tt class="literal">cmbr</tt> because most
+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="72%" />
+</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>
+<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>), large x-height</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">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><cite>Iwona</cite>, humanistic sans serif,
+some shapes very similar to roman</p></td>
+</tr>
+<tr><td><p><tt class="literal">jkpss</tt></p></td>
+<td><p><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a></p></td>
+<td><p><cite>Kepler Sans</cite>, quite light</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>, “slide fonts”, very wide, large x-height</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="section" id="scaled">
+<h3><span class="sectnum">2.1.3</span> scaled</h3>
+<p>To improve the chances of finding a matching sans serif math font, the
+fonts <tt class="literal">fav</tt>, <tt class="literal">iwona</tt>, <tt class="literal">jkpss</tt>, and <tt class="literal">llcmss</tt> can be scaled with the
+<tt class="literal">scaled</tt> option (cf. <a class="reference internal" href="#examples">Examples</a>). For other fonts, the option is ignored.</p>
+</div>
+<div class="section" id="reusemathalphabets">
+<h3><span class="sectnum">2.1.4</span> reuseMathAlphabets</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. Watch for side-effects, as these
+commands switch to text mode so that the font settings in the embedding
+text apply.</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="omlmathrm-omlmathbf-omlmathsf-omlmathsfit-omlmathtt">
+<span id="omlmath"></span><h3><span class="sectnum">2.1.5</span> OMLmathrm, OMLmathbf, OMLmathsf, OMLmathsfit, OMLmathtt</h3>
+<p>The <tt class="literal">OMLmath*</tt> options bind the corresponding <tt class="literal">\math*</tt> command to an
+OML-encoded font.</p>
+<p>The <tt class="literal">\mathsfit</tt> alphabet is not required for ISO conforming mathematical
+layout and therefore only defined if the <tt class="literal">OMLmathsfit</tt> argument is used.</p>
+<p>The predefined <a class="reference internal" href="#math-alphabets">math alphabets</a> <tt class="literal">\mathrm</tt>, <tt class="literal">\mathbf</tt>, and <tt class="literal">\mathtt</tt>
+use OT1 encoded text fonts with ligatures and accents in place of the small
+Greek letters. The <tt class="literal">OMLmath*</tt> options enable the 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>, if the
+corresponding font is available in <a class="reference internal" href="#oml-font-encoding">OML font encoding</a>. <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
+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="#id42"><span class="sectnum">2.2</span> Examples</a></h2>
+<ul>
+<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 math 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 <a class="reference external" href="isomath-test.tex">isomath-test.tex</a> test document.</p>
+<div class="section" id="how-to-get-upright-small-greek-letters">
+<h3><span class="sectnum">2.2.1</span> How to get upright small Greek letters</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 mode:</p>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="26%" />
+<col width="74%" />
+</colgroup>
+<tbody>
+<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>
+</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>
+<li><p>Use the text character with the <cite>alphabeta</cite> package from the <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/lgrx.html">lgrx</a>
+bundle:</p>
+<pre class="literal-block">\usepackage{amsmath}
+\usepackage{alphabeta}
+</pre>
+<p>and in the body</p>
+<pre class="literal-block">$ u = 2 \text{\pi} r $
+</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>The TUGboat article by Claudio Beccari <a class="citation-reference" href="#becc97" id="id10">[becc97]</a> discusses tricks and
+commands for physicists and engineers in order to satisfy the international
+regulations and to distinguish similar symbols with different meanings.</p>
+<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">\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>
+<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>
+</ul>
+</dd>
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/amsmath.html">amsmath</a></dt>
+<dd><p>provides the command <tt class="literal">\text</tt>, that 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><cite>unicode-math</cite> 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 (<cite>kpfonts</cite> works with <cite>isomath</cite>, if
+it is loaded with <tt class="literal"><span class="pre">\usepackage[nomathscript]{kpfonts}</span></tt>).</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 customised 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>
+<dt><a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/sansmath.html">sansmath</a></dt>
+<dd><p>defines a <cite>sans</cite> <a class="reference internal" href="#math-version">math version</a> using <strong>text</strong> fonts in OT1 or T1 font
+encoding. As fixmath/isomath expect math fonts in <a class="reference internal" href="#oml-font-encoding">OML font encoding</a>,
+Greek letters will not work inside the sans math version defined by
+sansmath.</p>
+</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>, the <a class="reference internal" href="#oml-font-encoding">OML font
+encoding</a>, 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="id11">[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>.</p>
+<div class="section" id="math-alphabets">
+<span id="math-alphabet"></span><h3><span class="sectnum">4.1.1</span> Math alphabets</h3>
+<p>TeX's <em>math alphabets</em> correspond 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="id12">[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>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="43%" />
+<col width="58%" />
+</colgroup>
+<tbody>
+<tr><td><p><tt class="literal">\mathnormal</tt></p></td>
+<td><p>default<a class="footnote-reference" href="#mathnormal" id="id13"><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="id14"><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>
+<dl class="footnote"><dt class="label"><a class="fn-backref" href="#id13">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="#id14">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><span class="sectnum">4.1.2</span> Math versions</h3>
+<p><em>Math versions</em> specify the mapping from commands for mathematical
+symbols and <a class="reference internal" href="#math-alphabets">math alphabets</a> to a set of mathematical fonts<a class="footnote-reference" href="#id17" id="id15"><sup>4</sup></a>.
+They are intended for mathematical content in a special context like a
+bold section heading. Selecting a math version resembles
+the individual selection of text font attributes.</p>
+<dl class="docutils">
+<dt>Example:</dt>
+<dd><p>Some alternatives to set the letter <tt class="literal">a</tt> in a bold upright sans-serif
+font:</p>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="44%" />
+<col width="56%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>Text</p></th>
+<th class="head"><p>Math</p></th>
+</tr>
+</thead>
+<tbody>
+<tr><td><p><tt class="literal"><span class="pre">\textbf{\textsf{a}}</span></tt></p></td>
+<td><p><tt class="literal"><span class="pre">$\bm{\mathsf{a}}$</span></tt></p></td>
+</tr>
+<tr><td><p><tt class="literal">\bfseries \textsf{a}</tt></p></td>
+<td><p><tt class="literal">\mathversion{bold} $\mathsf{a}$</tt></p></td>
+</tr>
+<tr><td><p><tt class="literal">\bfseries \sffamily a</tt></p></td>
+<td><p><tt class="literal">$\mathsfbf{a}$</tt></p></td>
+</tr>
+</tbody>
+</table>
+</dd>
+</dl>
+<p>The predefined math versions are <tt class="literal">normal</tt> and <tt class="literal">bold</tt> with the
+following defaults for non-specified font attributes:</p>
+<blockquote>
+<table class="booktabs numbered align-left">
+<colgroup>
+<col width="33%" />
+<col width="37%" />
+<col width="30%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>attribute</p></th>
+<th class="head"><p><tt class="literal">normal</tt></p></th>
+<th class="head"><p><tt class="literal">bold</tt></p></th>
+</tr>
+</thead>
+<tbody>
+<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://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a> package
+defines a <tt class="literal">sans</tt> math version (another <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>) and 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.</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>
+<dl class="footnote"><dt class="label"><a class="fn-backref" href="#id15">4</a></dt>
+<dd id="id17">
+<p class="first last">The number of mathematical symbols exceeds the maximal number of
+characters in a TeX font file by an order of magnitude: Unicode
+defines about 2500 mathematical characters <a class="citation-reference" href="#tr25" id="id18">[tr25]</a>, font files used by
+8-bit TeX engines are limited to 256 characters. The standard math
+fonts adhere to the original limit of 128 characters. Grouping math
+fonts with common characteristics in math versions simplifies the
+setting of font attributes for mathematical expressions. TeX limits
+the number of (symbol + alphanumeric) fonts per math version to 16.</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="math-styles">
+<span id="math-style"></span><h3><span class="sectnum">4.1.3</span> Math styles</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>).<a class="footnote-reference" href="#id20" id="id19"><sup>5</sup></a>
+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>
+<dl class="footnote"><dt class="label"><a class="fn-backref" href="#id19">5</a></dt>
+<dd id="id20">
+<p class="first last">The <tt class="literal"><span class="pre">math-style</span></tt> option of <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html">unicode-math</a> changes also the shape
+attribute of other math alphabets (see also section
+<a class="reference internal" href="#the-unicode-math-package">the unicode-math package</a>).</p>
+</dd>
+</dl>
+<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>
+<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>
+<table class="booktabs numbered align-left" id="table-2">
+<caption>Packages providing alternative 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>
+<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="oml-font-encoding">
+<h2><a class="toc-backref" href="#id50"><span class="sectnum">4.2</span> OML font encoding</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 best 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="discussion">
+<h3><span class="sectnum">4.2.1</span> Discussion</h3>
+<p>The <cite>LaTeX font encodings</cite> guide <a class="citation-reference" href="#encguide" id="id21">[encguide]</a> names the OML encoding
+<cite>TeX math italic</cite> and defines:</p>
+<blockquote>
+<p>The OML encoding contains italic Latin and Greek letters for use in
+mathematical formulae (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 a font shape.</p></li>
+<li><p>The different font selection and the semantic of font features in
+mathematical formulae 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 formulae (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><span class="sectnum">4.2.2</span> OML Support</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 3</a> lists the findings for a selection of TeXLive&nbsp;2012 + 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>
+<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-3">
+<caption>Font families supporting the OML encoding</caption>
+<colgroup>
+<col width="18%" />
+<col width="45%" />
+<col width="9%" />
+<col width="11%" />
+<col width="8%" />
+<col width="9%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head"><p>Name</p></th>
+<th class="head"><p>Family (package)</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>
+<tr><td><p>antt</p></td>
+<td><p>Antykwa Torunska (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/anttor.html">anttor</a>)</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</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 Roman (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/concmath.html">concmath</a>)</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>CM Bright (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/cmbright.html">cmbright</a>)</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) (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/iwona.html">iwona</a>)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>iwonal</p></td>
+<td><p>Iwona light</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>iwonac</p></td>
+<td><p>Iwona condensed</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>iwonalc</p></td>
+<td><p>Iwona light condensed</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a>)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkpw</p></td>
+<td><p>Kepler Serif wide</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 oldstyle</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkpvosw</p></td>
+<td><p>Kepler Serif oldstyle wide</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 light</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkplw</p></td>
+<td><p>Kepler Serif light wide</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 light oldstyle</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkplvosw</p></td>
+<td><p>Kepler Serif light os wide</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkpss</p></td>
+<td><p>Kepler Sans (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</a>)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jkpssvos</p></td>
+<td><p>Kepler Sans oldstyle</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>jtm</p></td>
+<td><p>expanded Times (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/jamtimes.html">jamtimes</a>)</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) (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/lxfonts.html">lxfonts</a>)</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 (lmodern)</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kerkis.html">kerkis</a>)</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 (sans serif) (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kurier.html">kurier</a>)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>kurierc</p></td>
+<td><p>Kurier condensed</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>kurierl</p></td>
+<td><p>Kurier light</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>kurierlc</p></td>
+<td><p>Kurier light condensed</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathdesign.html">mathdesign</a>)</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>Neohellenic (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/gfsneohellenic.html">gfsneohellenic</a>)</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ntxmi</p></td>
+<td><p>Times (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/newtx.html">newtx</a>)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>nxlmi</p></td>
+<td><p>Libertine (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/newtx.html">newtx</a>)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathptmx.html">mathptmx</a>)</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/pxfonts.html">pxfonts</a>)</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/txfonts.html">txfonts</a>)</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/gfsdidot.html">gfsdidot</a>)</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+<tr><td><p>ywclm</p></td>
+<td><p>(<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/greektex.html">greektex</a>)</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>zplm</p></td>
+<td><p>Palatino (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathpazo.html">mathpazo</a>)</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/mathptmx.html">mathptmx</a>)</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 (<a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/zefonts.html">zefonts</a>)</p></td>
+<td><p>✓</p></td>
+<td><p>✓</p></td>
+<td>&nbsp;</td>
+<td>&nbsp;</td>
+</tr>
+</tbody>
+</table>
+<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>
+<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 Century Schoolbook (psnfss)</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="#id51"><span class="sectnum">4.3</span> Unicode mathematical typesetting</a></h2>
+<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 alphabet commands 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>
+<p>The technical report <a class="citation-reference" href="#tr25" id="id22">[tr25]</a> presents an in-depth discussion of the
+mathematical character repertoire of the Unicode Standard as well as
+mathematical notation in general.</p>
+<div class="section" id="unicode-mathematical-alphabets">
+<span id="mathematical-alphanumeric-symbols"></span><h3><span class="sectnum">4.3.1</span> Unicode mathematical alphabets</h3>
+<p>Chapter 2 <cite>Mathematical Character Repertoire</cite> of <a class="citation-reference" href="#tr25" id="id23">[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 assigns 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) 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.</p>
+<div class="section" id="naming-scheme">
+<h4><span class="sectnum">4.3.1.1</span> Naming scheme</h4>
+<p>The naming scheme is an extension of the predefined <a class="reference internal" href="#math-alphabet">math alphabet</a>
+commands with the established short-cuts:</p>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="14%" />
+<col width="86%" />
+</colgroup>
+<tbody>
+<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>
+<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-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>
+<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="id24"><sup>6</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">6</dt>
+<dd id="up">
+<em>(<a class="fn-backref" href="#id24">1</a>, <a class="fn-backref" href="#id25">2</a>)</em> <p class="last">plain standard characters outside the
+<cite>mathematical alphanumeric symbols</cite> Unicode block.</p>
+</dd>
+</dl>
+</div>
+<div class="section" id="latex-support">
+<h4><span class="sectnum">4.3.1.2</span> LaTeX support</h4>
+<p>Most commonly used math alphabets are supported either by the TeX kernel
+or additional packages. Full support is only 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-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>
+<tr><td><p>plain<a class="footnote-reference" href="#up" id="id25"><sup>6</sup></a></p></td>
+<td><p><tt class="literal">\mathrm</tt></p></td>
+<td><p>predefined<a class="footnote-reference" href="#no-g" id="id26"><sup>7</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>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html">kpfonts</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="id27"><sup>7</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="id28"><sup>7</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="id29"><sup>8</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="id30"><sup>8</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="id31"><sup>9</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>, <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/sbbm.html">sbbm</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="id32"><sup>7</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="id33"><sup>8</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="id34"><sup>8</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="id35"><sup>7</sup></a></p></td>
+</tr>
+</tbody>
+</table>
+<dl class="footnote"><dt class="label">7</dt>
+<dd id="no-g">
+<em>(<a class="fn-backref" href="#id26">1</a>, <a class="fn-backref" href="#id27">2</a>, <a class="fn-backref" href="#id28">3</a>, <a class="fn-backref" href="#id32">4</a>, <a class="fn-backref" href="#id35">5</a>)</em> <p class="last">no small Greek, full Greek with <a class="reference internal" href="#omlmath">OMLmath*</a> options and
+OML-encoded fonts</p>
+</dd>
+<dt class="label">8</dt>
+<dd id="digits">
+<em>(<a class="fn-backref" href="#id29">1</a>, <a class="fn-backref" href="#id30">2</a>, <a class="fn-backref" href="#id33">3</a>, <a class="fn-backref" href="#id34">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="#id31">9</a></dt>
+<dd id="script">
+<p class="first last">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>,
+small Latin letters only with <a class="reference external" href="http://mirror.ctan.org/help/Catalogue/entries/urwchancal.html">urwchancal</a></p>
+</dd>
+</dl>
+</div>
+</div>
+<div class="section" id="the-unicode-math-package">
+<h3><span class="sectnum">4.3.2</span> The unicode-math package</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 mathematical 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>
+<ul>
+<li><p><a class="reference internal" href="#math-alphabets">Math alphabets</a> 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="borderless 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>
+<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 MATHEMATICAL SANS-SERIF BOLD
+ITALIC CAPITAL A is selected by the non-mnemonic <tt class="literal">\mathbfsfit{A}</tt>.</p>
+</li>
+<li><p><a class="reference internal" href="#math-versions">Math versions</a> can be set up using the syntax
+<tt class="literal"><span class="pre">\setmathfont[version=&lt;version</span> <span class="pre">name&gt;,&lt;font</span> <span class="pre">features&gt;]{&lt;font</span> name&gt;}</tt></p></li>
+<li><p>Several <a class="reference internal" href="#math-styles">math styles</a> 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></li>
+</ul>
+</div>
+</div>
+<div class="section" id="conclusions-and-outlook">
+<h2><a class="toc-backref" href="#id52"><span class="sectnum">4.4</span> Conclusions and outlook</a></h2>
+<p>It is hoped, that in the future more font 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>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="#id53"><span class="sectnum">5</span> References</a></h1>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id7">[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="#id1">[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="#id2">[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="#id4">[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="#id3">[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="#id6">[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="#id5">[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="#id10">[becc97]</a></dt>
+<dd id="becc97">
+<p class="first last">Claudio Beccari, <cite>Typesetting mathematics for science and
+technology according to ISO 31 XI</cite>, TUGboat, Volume 18, 1997, No. 1:
+<a class="reference external" href="http://www.tug.org/TUGboat/tb18-1/tb54becc.pdf">http://www.tug.org/TUGboat/tb18-1/tb54becc.pdf</a>.</p>
+</dd>
+</dl>
+<dl class="citation"><dt class="label"><a class="fn-backref" href="#id21">[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="#id11">1</a>, <a class="fn-backref" href="#id12">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="#id18">1</a>, <a class="fn-backref" href="#id22">2</a>, <a class="fn-backref" href="#id23">3</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/macros/latex/contrib/isomath/isomath.pdf b/macros/latex/contrib/isomath/isomath.pdf
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diff --git a/macros/latex/contrib/isomath/isomath.sty b/macros/latex/contrib/isomath/isomath.sty
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+++ b/macros/latex/contrib/isomath/isomath.sty
@@ -0,0 +1,372 @@
+% isomath
+% *******
+% Mathematical style for science and technology
+% ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+%
+% :Date: 2012-09-10
+% :Copyright: © 2008, 2012 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 provides tools for a mathematical style
+% that conforms to the International Standard ISO 80000-2 and is
+% common in science and technology. It changes the default shape of
+% capital Greek letters to italic, sets up bold italic and
+% sans-serif bold italic math alphabets with Latin and Greek
+% characters, and defines macros for markup of vector, matrix and
+% tensor symbols.
+%
+% :Identification:
+% ::
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{isomath}
+[2012/09/04 v0.6.1 ISO math style]
+
+% .. contents::
+%
+% History
+% =======
+%
+% .. class:: borderless
+%
+% ===== =========== ========================================================
+% 0.1 2008-09-25 first public version.
+% 0.2 2008-10-02 bugfix: a usage example was uncommented;
+% \ updated documentation;
+% \ define \mathsans only if OMLmathsans is true;
+% \ option reuseMathalphabets -> reuseMathAlphabets.
+% 0.3 2009-06-19 documentation update;
+% \ fix OMLmathrm and OMLmathsans definitions;
+% \ switch license to LPP.
+% 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``.
+% 0.6 2012-09-10 Scaling for Kepler Sans (``sfdefault=jkpss``);
+% \ documentation update, new caption and abstract.
+% ===== =========== ========================================================
+%
+%
+% Requirements
+% ============
+%
+% fixmath.sty
+% -----------
+% The package fixmath_ by Walter Schmidt defines Greek letters as symbols
+% 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``.
+% `isomath` overwrites this definition with a configurable value for
+% the font family. ::
+
+\RequirePackage{fixmath}
+
+
+% kvoptions.sty
+% -------------
+% The kvoptions_ package in the oberdiek_ bundle facilitates the setup of
+% package options and provides a key=value interface (based on keyval_)::
+
+\RequirePackage{kvoptions}
+
+
+% Options
+% =======
+%
+% rmdefault
+% ---------
+% Family for roman math fonts. Must be available in OML
+% encoding. The default is to use the corresponding text font family
+% (``\rmdefault``). ::
+
+\DeclareStringOption[\rmdefault]{rmdefault}
+
+% sfdefault
+% ---------
+% Family for sans-serif math fonts. The default selects `CM Bright`, as
+% most sans serif fonts are not available in OML encoding::
+
+\DeclareStringOption[cmbr]{sfdefault}
+
+% scaled
+% ------
+% The sans-serif fonts, ``fav`` (Arev), ``llcmss`` (LX Fonts),
+% ``jkpss`` (Kepler Serif) and ``iwona`` can be scaled
+% with the ``scaled`` option. ::
+
+\DeclareStringOption[1.0]{scaled}
+
+% 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 ``\mathsf`` alphabets for *italic* bold and sans-serif
+% bold. ::
+
+\DeclareBoolOption{reuseMathAlphabets}
+
+% OMLmath*
+% --------
+% The following options cause `isomath` to (re)define the corresponding
+% `math alphabets`_ in OML encoding::
+
+\DeclareBoolOption{OMLmathrm}
+\DeclareBoolOption{OMLmathbf}
+\DeclareBoolOption{OMLmathsf}
+\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}`` but only *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 the options with ``kvoptions`` extensions::
+
+\ProcessKeyvalOptions*
+
+
+% Declarations
+% ============
+%
+% Math alphabets
+% --------------
+%
+% In math, LaTeX uses “absolute” fontnames instead of a selection by
+% family, shape, and weight because typefaces have a semantic meaning
+% [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 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 \mathsfbfit
+ \MessageBreak and `mathbf' for \protect \mathbfit
+ }
+\fi
+
+% mathbfit
+% ~~~~~~~~
+% 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\mathbfit{\mathbf}
+\else
+ \DeclareMathAlphabet{\mathbfit}{OML}{\isomath@rmdefault}{bx}{it}
+\fi
+
+% alias (overwriting the definition from fixmath)::
+
+\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
+
+% mathsfbfit
+% ~~~~~~~~~~~~
+% The *sans serif bold italic* alphabet is used for tensor symbols.
+% Following the Unicode naming 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 ``\mathsfbfit`` made an
+% alias to it::
+
+\ifisomath@reuseMathAlphabets
+ \DeclareMathAlphabet{\mathsf}{OML}{\isomath@sfdefault}{bx}{it}
+ \def\mathsfbfit{\mathsf}
+\else
+ \DeclareMathAlphabet{\mathsfbfit}{OML}{\isomath@sfdefault}{bx}{it}
+\fi
+\def\mathboldsans{\mathsfbfit}
+
+% Redefine standard alphabets
+% ~~~~~~~~~~~~~~~~~~~~~~~~~~~
+%
+% Redefine standard alphabets in `OML` font encoding
+% 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}{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 80000-2 and
+% `Typefaces for Symbols in Scientific Manuscripts`_.
+%
+% \\vectorsym
+% ~~~~~~~~~~~
+% 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?`__"
+% 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.
+%
+% __ http://www.tex.ac.uk/cgi-bin/texfaq2html?label=isitanum
+%
+% \\matrixsym
+% ~~~~~~~~~~~
+% Symbols for matrices are typeset *boldface italic*, i. e. in the same face
+% as vectors. ::
+
+\providecommand*{\matrixsym}{\vectorsym}
+
+% \\tensorsym
+% ~~~~~~~~~~~
+% Symbols for tensors are *sans-serif bold italic*::
+
+\providecommand*{\tensorsym}{\mathsfbfit}
+
+
+% Font setup fixes
+% ----------------
+%
+% Substitutions needed for the math alphabet definitions and setup for
+% scaled fonts. For details about the font definition macros see
+% [fntguide]_.
+%
+% Unknown makro in font definition file
+% ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+% The `Kepler Sans` font definition file ``omljkpss.fd`` contains a boolean
+% that is defined in ``kpfonts.sty``. This leads to errors if the fonts are
+% used from another package. Provide a dummy definition::
+
+\newif\ifkp@upRm
+
+
+% Common family name for text and math fonts
+% ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+% 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 ::
+
+\DeclareFontFamily{OML}{ppl}{\skewchar\font127}
+\DeclareFontShape{OML}{ppl}{m}{it}{<-> ssub * zplm/m/it}{}
+\DeclareFontShape{OML}{ppl}{bx}{it}{<-> ssub * zplm/b/it}{}
+
+
+% Scaling
+% ~~~~~~~
+% Scale the ``fav`` (Arev), ``iwona``, ``jkpss`` (Kepler Sans) and
+% ``llcmss`` (LX Fonts) sans serif fonts 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::
+
+\DeclareFontFamily{OML}{fav}{\skewchar\font127}
+\DeclareFontShape{OML}{fav}{m}{it}{<-> s * [\isomath@scaled] zavmri7m}{}
+\DeclareFontShape{OML}{fav}{bx}{it}{<-> s * [\isomath@scaled] zavmbi7m}{}
+
+% 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}{}
+
+% Kepler Serif (see ``omljkpss.fd``)::
+
+\DeclareFontFamily{OML}{jkpss}{\skewchar\font127 }
+\DeclareFontShape{OML}{jkpss}{m}{it}{<-> s * [\isomath@scaled] jkpssmi}{}
+\DeclareFontShape{OML}{jkpss}{bx}{it}{<-> s * [\isomath@scaled] jkpssbmi}{}
+
+% 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}{}
+
+
+% 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://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://mirror.ctan.org/help/Catalogue/entries/oberdiek.html
+% .. _`Typefaces for Symbols in Scientific Manuscripts`:
+% http://physics.nist.gov/cuu/pdf/typefaces.pdf
+% .. _unicode-math:
+% http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html
diff --git a/macros/latex/contrib/isomath/isomath.sty.html b/macros/latex/contrib/isomath/isomath.sty.html
new file mode 100644
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--- /dev/null
+++ b/macros/latex/contrib/isomath/isomath.sty.html
@@ -0,0 +1,1214 @@
+<?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">
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+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
+<meta name="generator" content="Docutils 0.10: http://docutils.sourceforge.net/" />
+<title>isomath</title>
+<meta name="date" content="2012-09-10" />
+<meta name="copyright" content="© 2008, 2012 Günter Milde" />
+<style type="text/css">
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+/*
+:Author: David Goodger (goodger@python.org)
+:Id: $Id: html4css1.css 7434 2012-05-11 21:06:27Z milde $
+:Copyright: This stylesheet has been placed in the public domain.
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+Default cascading style sheet for the HTML output of Docutils.
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+/* */
+/* :Author: Günter Milde */
+/* :Copyright: © 2009 Günter Milde. */
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+
+/* 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 */
+dl.field-list > dd p {
+ 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, */
+dl.field-list > dd > dl:first-child {
+ display: inline-block;
+}
+
+/* field-list variants:: */
+
+/* example for custom field-name width */
+dl.field-list.narrow > dd {
+ margin-left: 5em;
+}
+
+/* start field-body on same line after long field names */
+dl.field-list.run-in > dd p {
+ display: block;
+}
+
+/* wrap or truncate long field names */
+dl.field-list.fix-labelwidth > dt {
+ width: 8em; /* set to dl.field-list > dd margin-left - padding-left */
+ overflow: hidden;
+}
+dl.field-list.fix-labelwidth > dd:after {
+ /* a "stopper" to prevent next dd floating up too far */
+ content: '';
+ display: block;
+ clear: left;
+}
+
+/* docinfo */
+
+dl.docinfo > dd {
+ 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, ol.arabic, ol.loweralpha, ol.upperalpha,
+ol.lowerroman, ol.upperroman {
+ counter-reset: item;
+ list-style: none
+}
+
+/* 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, ".") " ";
+}
+
+/* lists nested in definition list */
+
+dd > ul, dd > ol {
+ padding-left: 0pt;
+}
+
+/* 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 {
+/* background: magenta; */
+ margin-top: 1em ;
+ margin-bottom: 1em;
+/* border-style: outset; */
+ border-style: solid;
+ border-color: silver;
+ border-width: thin;
+ border-collapse: collapse;
+}
+blockquote > table {
+ margin-top: 0em ;
+ margin-bottom: 0em;
+}
+
+td, th {
+ border-style: solid;
+ border-width: thin;
+ border-color: silver;
+ /* 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;
+}
+
+table.booktabs * {
+ border: 0;
+}
+table.booktabs th {
+ border-bottom: thin solid;
+}
+
+table > caption {
+ text-align: left;
+ margin-bottom: 0.25em
+/* 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;
+}
+
+/* let borderless overreide booktab */
+.booktabs.borderless,
+table.booktabs.borderless td, table.booktabs.borderless th {
+ border: 0;
+ margin-left: 2em;
+ }
+
+table.docutils td, table.docutils th,
+ vertical-align: bottom; }
+
+</style>
+</head>
+<body>
+<div class="document" id="isomath">
+<h1 class="title">isomath</h1>
+<h2 class="subtitle" id="mathematical-style-for-science-and-technology">Mathematical style for science and technology</h2>
+
+<dl class="docinfo">
+<dt class="date">Date</dt>
+<dd class="date">2012-09-10</dd>
+<dt class="copyright">Copyright</dt>
+<dd class="copyright">© 2008, 2012 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>
+<dt>Identification</dt>
+<dd><pre class="literal-block">\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{isomath}
+[2012/09/04 v0.6.1 ISO math style]
+</pre>
+</dd>
+</dl>
+<div class="abstract topic">
+<p class="topic-title first">Abstract</p>
+<p>The <cite>isomath</cite> package provides tools for a mathematical style
+that conforms to the International Standard ISO&nbsp;80000-2 and is
+common in science and technology. It changes the default shape of
+capital Greek letters to italic, sets up bold italic and
+sans-serif bold italic math alphabets with Latin and Greek
+characters, and defines macros for markup of vector, matrix and
+tensor symbols.</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="id4">History</a></p></li>
+<li><p><a class="reference internal" href="#requirements" id="id5">Requirements</a></p>
+<ul>
+<li><p><a class="reference internal" href="#fixmath-sty" id="id6">fixmath.sty</a></p></li>
+<li><p><a class="reference internal" href="#kvoptions-sty" id="id7">kvoptions.sty</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#options" id="id8">Options</a></p>
+<ul>
+<li><p><a class="reference internal" href="#rmdefault" id="id9">rmdefault</a></p></li>
+<li><p><a class="reference internal" href="#sfdefault" id="id10">sfdefault</a></p></li>
+<li><p><a class="reference internal" href="#scaled" id="id11">scaled</a></p></li>
+<li><p><a class="reference internal" href="#reusemathalphabets" id="id12">reuseMathAlphabets</a></p></li>
+<li><p><a class="reference internal" href="#omlmath" id="id13">OMLmath*</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#declarations" id="id14">Declarations</a></p>
+<ul>
+<li><p><a class="reference internal" href="#math-alphabets" id="id15">Math alphabets</a></p>
+<ul>
+<li><p><a class="reference internal" href="#mathbfit" id="id16">mathbfit</a></p></li>
+<li><p><a class="reference internal" href="#mathsfit" id="id17">mathsfit</a></p></li>
+<li><p><a class="reference internal" href="#mathsfbfit" id="id18">mathsfbfit</a></p></li>
+<li><p><a class="reference internal" href="#redefine-standard-alphabets" id="id19">Redefine standard alphabets</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#command-aliases" id="id20">Command aliases</a></p>
+<ul>
+<li><p><a class="reference internal" href="#vectorsym" id="id21">\vectorsym</a></p></li>
+<li><p><a class="reference internal" href="#matrixsym" id="id22">\matrixsym</a></p></li>
+<li><p><a class="reference internal" href="#tensorsym" id="id23">\tensorsym</a></p></li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#font-setup-fixes" id="id24">Font setup fixes</a></p>
+<ul>
+<li><p><a class="reference internal" href="#unknown-makro-in-font-definition-file" id="id25">Unknown makro in font definition file</a></p></li>
+<li><p><a class="reference internal" href="#common-family-name-for-text-and-math-fonts" id="id26">Common family name for text and math fonts</a></p></li>
+<li><p><a class="reference internal" href="#scaling" id="id27">Scaling</a></p></li>
+</ul>
+</li>
+</ul>
+</li>
+<li><p><a class="reference internal" href="#references" id="id28">References</a></p></li>
+</ul>
+</div>
+<div class="section" id="history">
+<h1><a class="toc-backref" href="#id4">History</a></h1>
+<table class="borderless booktabs numbered align-left">
+<colgroup>
+<col width="7%" />
+<col width="15%" />
+<col width="78%" />
+</colgroup>
+<tbody>
+<tr><td><p>0.1</p></td>
+<td><p>2008-09-25</p></td>
+<td><p>first public version.</p></td>
+</tr>
+<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><p></p></td>
+<td>&nbsp;</td>
+<td><p>option reuseMathalphabets -&gt; reuseMathAlphabets.</p></td>
+</tr>
+<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><p>fix OMLmathrm and OMLmathsans definitions;</p></td>
+</tr>
+<tr><td><p></p></td>
+<td>&nbsp;</td>
+<td><p>switch license to LPP.</p></td>
+</tr>
+<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><p></p></td>
+<td>&nbsp;</td>
+<td><p>option <tt class="literal">scaled</tt>;</p></td>
+</tr>
+<tr><td><p></p></td>
+<td>&nbsp;</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><p></p></td>
+<td>&nbsp;</td>
+<td><p>documentation review and extension;</p></td>
+</tr>
+<tr><td><p></p></td>
+<td>&nbsp;</td>
+<td><p>bold alphabet variants in <tt class="literal">bold</tt> math version;</p></td>
+</tr>
+<tr><td><p></p></td>
+<td>&nbsp;</td>
+<td><p>upright numbers with <tt class="literal">\vectorsym</tt>.</p></td>
+</tr>
+<tr><td><p>0.6</p></td>
+<td><p>2012-09-10</p></td>
+<td><p>Scaling for Kepler Sans (<tt class="literal">sfdefault=jkpss</tt>);</p></td>
+</tr>
+<tr><td><p></p></td>
+<td>&nbsp;</td>
+<td><p>documentation update, new caption and abstract.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="section" id="requirements">
+<h1><a class="toc-backref" href="#id5">Requirements</a></h1>
+<div class="section" id="fixmath-sty">
+<h2><a class="toc-backref" href="#id6">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> symbol font in
+<tt class="literal">\mathnormal</tt> (as opposed to <tt class="literal">operators</tt> in <tt class="literal">fontmath.ltx</tt>).</p>
+<p><cite>fixmath</cite> also defines the <tt class="literal">\mathbold</tt> alphabet, setting it to <tt class="literal">cmm</tt>.
+<cite>isomath</cite> overwrites this definition with a configurable value for
+the font family.</p>
+<pre class="literal-block">\RequirePackage{fixmath}
+</pre>
+</div>
+<div class="section" id="kvoptions-sty">
+<h2><a class="toc-backref" href="#id7">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="#id8">Options</a></h1>
+<div class="section" id="rmdefault">
+<h2><a class="toc-backref" href="#id9">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="literal">\rmdefault</tt>).</p>
+<pre class="literal-block">\DeclareStringOption[\rmdefault]{rmdefault}
+</pre>
+</div>
+<div class="section" id="sfdefault">
+<h2><a class="toc-backref" href="#id10">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>
+</div>
+<div class="section" id="scaled">
+<h2><a class="toc-backref" href="#id11">scaled</a></h2>
+<p>The sans-serif fonts, <tt class="literal">fav</tt> (Arev), <tt class="literal">llcmss</tt> (LX Fonts),
+<tt class="literal">jkpss</tt> (Kepler Serif) 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="#id12">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="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>
+</div>
+<div class="section" id="omlmath">
+<h2><a class="toc-backref" href="#id13">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}
+\DeclareBoolOption{OMLmathbf}
+\DeclareBoolOption{OMLmathsf}
+\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="literal"><span class="pre">\mathrm{\pi}</span></tt> but only <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>
+<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="#id14">Declarations</a></h1>
+<div class="section" id="math-alphabets">
+<h2><a class="toc-backref" href="#id15">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
+<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 careful not to exceed this. The
+<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 \mathsfbfit
+ \MessageBreak and `mathbf' for \protect \mathbfit
+ }
+\fi
+</pre>
+<div class="section" id="mathbfit">
+<h3><a class="toc-backref" href="#id16">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\mathbfit{\mathbf}
+\else
+ \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="mathsfit">
+<h3><a class="toc-backref" href="#id17">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="mathsfbfit">
+<h3><a class="toc-backref" href="#id18">mathsfbfit</a></h3>
+<p>The <em>sans serif bold italic</em> alphabet is used for tensor symbols.
+Following the Unicode naming 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="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\mathsfbfit{\mathsf}
+\else
+ \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="#id19">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
+ \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}{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="#id20">Command aliases</a></h2>
+<p>The following macros allow semantic markup of mathematical symbols.
+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="#id21">\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 &quot;<a class="reference external" href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=isitanum">Is the argument a number?</a>&quot;
+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="literal">\vec</tt> command after loading this
+package.</p>
+</div>
+<div class="section" id="matrixsym">
+<h3><a class="toc-backref" href="#id22">\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">\providecommand*{\matrixsym}{\vectorsym}
+</pre>
+</div>
+<div class="section" id="tensorsym">
+<h3><a class="toc-backref" href="#id23">\tensorsym</a></h3>
+<p>Symbols for tensors are <em>sans-serif bold italic</em>:</p>
+<pre class="literal-block">\providecommand*{\tensorsym}{\mathsfbfit}
+</pre>
+</div>
+</div>
+<div class="section" id="font-setup-fixes">
+<h2><a class="toc-backref" href="#id24">Font setup fixes</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="id3">[fntguide]</a>.</p>
+<div class="section" id="unknown-makro-in-font-definition-file">
+<h3><a class="toc-backref" href="#id25">Unknown makro in font definition file</a></h3>
+<p>The <cite>Kepler Sans</cite> font definition file <tt class="literal">omljkpss.fd</tt> contains a boolean
+that is defined in <tt class="literal">kpfonts.sty</tt>. This leads to errors if the fonts are
+used from another package. Provide a dummy definition:</p>
+<pre class="literal-block">\newif\ifkp&#64;upRm
+</pre>
+</div>
+<div class="section" id="common-family-name-for-text-and-math-fonts">
+<h3><a class="toc-backref" href="#id26">Common family name for text and math fonts</a></h3>
+<p>Some font packages provide matching text and math font but do not
+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="#id27">Scaling</a></h3>
+<p>Scale the <tt class="literal">fav</tt> (Arev), <tt class="literal">iwona</tt>, <tt class="literal">jkpss</tt> (Kepler Sans) and
+<tt class="literal">llcmss</tt> (LX Fonts) sans serif 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 <tt class="literal">omlzavm.fd</tt>) 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>Iwona (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>Kepler Serif (see <tt class="literal">omljkpss.fd</tt>):</p>
+<pre class="literal-block">\DeclareFontFamily{OML}{jkpss}{\skewchar\font127 }
+\DeclareFontShape{OML}{jkpss}{m}{it}{&lt;-&gt; s * [\isomath&#64;scaled] jkpssmi}{}
+\DeclareFontShape{OML}{jkpss}{bx}{it}{&lt;-&gt; s * [\isomath&#64;scaled] jkpssbmi}{}
+</pre>
+<p>LX Fonts (see <tt class="literal">lxfonts.sty</tt>) 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>
+</div>
+</div>
+</div>
+<div class="section" id="references">
+<h1><a class="toc-backref" href="#id28">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="#id3">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/macros/latex/contrib/isomath/isomath.sty.txt b/macros/latex/contrib/isomath/isomath.sty.txt
new file mode 100644
index 0000000000..bff0572022
--- /dev/null
+++ b/macros/latex/contrib/isomath/isomath.sty.txt
@@ -0,0 +1,372 @@
+isomath
+*******
+Mathematical style for science and technology
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+:Date: 2012-09-10
+:Copyright: © 2008, 2012 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 provides tools for a mathematical style
+ that conforms to the International Standard ISO 80000-2 and is
+ common in science and technology. It changes the default shape of
+ capital Greek letters to italic, sets up bold italic and
+ sans-serif bold italic math alphabets with Latin and Greek
+ characters, and defines macros for markup of vector, matrix and
+ tensor symbols.
+
+:Identification:
+ ::
+
+ \NeedsTeXFormat{LaTeX2e}
+ \ProvidesPackage{isomath}
+ [2012/09/04 v0.6.1 ISO math style]
+
+.. contents::
+
+History
+=======
+
+.. class:: borderless
+
+===== =========== ========================================================
+0.1 2008-09-25 first public version.
+0.2 2008-10-02 bugfix: a usage example was uncommented;
+\ updated documentation;
+\ define \mathsans only if OMLmathsans is true;
+\ option reuseMathalphabets -> reuseMathAlphabets.
+0.3 2009-06-19 documentation update;
+\ fix OMLmathrm and OMLmathsans definitions;
+\ switch license to LPP.
+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``.
+0.6 2012-09-10 Scaling for Kepler Sans (``sfdefault=jkpss``);
+\ documentation update, new caption and abstract.
+===== =========== ========================================================
+
+
+Requirements
+============
+
+fixmath.sty
+-----------
+The package fixmath_ by Walter Schmidt defines Greek letters as symbols
+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``.
+`isomath` overwrites this definition with a configurable value for
+the font family. ::
+
+ \RequirePackage{fixmath}
+
+
+kvoptions.sty
+-------------
+The kvoptions_ package in the oberdiek_ bundle facilitates the setup of
+package options and provides a key=value interface (based on keyval_)::
+
+ \RequirePackage{kvoptions}
+
+
+Options
+=======
+
+rmdefault
+---------
+Family for roman math fonts. Must be available in OML
+encoding. The default is to use the corresponding text font family
+(``\rmdefault``). ::
+
+ \DeclareStringOption[\rmdefault]{rmdefault}
+
+sfdefault
+---------
+Family for sans-serif math fonts. The default selects `CM Bright`, as
+most sans serif fonts are not available in OML encoding::
+
+ \DeclareStringOption[cmbr]{sfdefault}
+
+scaled
+------
+The sans-serif fonts, ``fav`` (Arev), ``llcmss`` (LX Fonts),
+``jkpss`` (Kepler Serif) and ``iwona`` can be scaled
+with the ``scaled`` option. ::
+
+ \DeclareStringOption[1.0]{scaled}
+
+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 ``\mathsf`` alphabets for *italic* bold and sans-serif
+bold. ::
+
+ \DeclareBoolOption{reuseMathAlphabets}
+
+OMLmath*
+--------
+The following options cause `isomath` to (re)define the corresponding
+`math alphabets`_ in OML encoding::
+
+ \DeclareBoolOption{OMLmathrm}
+ \DeclareBoolOption{OMLmathbf}
+ \DeclareBoolOption{OMLmathsf}
+ \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}`` but only *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 the options with ``kvoptions`` extensions::
+
+ \ProcessKeyvalOptions*
+
+
+Declarations
+============
+
+Math alphabets
+--------------
+
+In math, LaTeX uses “absolute” fontnames instead of a selection by
+family, shape, and weight because typefaces have a semantic meaning
+[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 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 \mathsfbfit
+ \MessageBreak and `mathbf' for \protect \mathbfit
+ }
+ \fi
+
+mathbfit
+~~~~~~~~
+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\mathbfit{\mathbf}
+ \else
+ \DeclareMathAlphabet{\mathbfit}{OML}{\isomath@rmdefault}{bx}{it}
+ \fi
+
+alias (overwriting the definition from fixmath)::
+
+ \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
+
+mathsfbfit
+~~~~~~~~~~~~
+The *sans serif bold italic* alphabet is used for tensor symbols.
+Following the Unicode naming 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 ``\mathsfbfit`` made an
+alias to it::
+
+ \ifisomath@reuseMathAlphabets
+ \DeclareMathAlphabet{\mathsf}{OML}{\isomath@sfdefault}{bx}{it}
+ \def\mathsfbfit{\mathsf}
+ \else
+ \DeclareMathAlphabet{\mathsfbfit}{OML}{\isomath@sfdefault}{bx}{it}
+ \fi
+ \def\mathboldsans{\mathsfbfit}
+
+Redefine standard alphabets
+~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+Redefine standard alphabets in `OML` font encoding
+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}{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 80000-2 and
+`Typefaces for Symbols in Scientific Manuscripts`_.
+
+\\vectorsym
+~~~~~~~~~~~
+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?`__"
+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.
+
+__ http://www.tex.ac.uk/cgi-bin/texfaq2html?label=isitanum
+
+\\matrixsym
+~~~~~~~~~~~
+Symbols for matrices are typeset *boldface italic*, i. e. in the same face
+as vectors. ::
+
+ \providecommand*{\matrixsym}{\vectorsym}
+
+\\tensorsym
+~~~~~~~~~~~
+Symbols for tensors are *sans-serif bold italic*::
+
+ \providecommand*{\tensorsym}{\mathsfbfit}
+
+
+Font setup fixes
+----------------
+
+Substitutions needed for the math alphabet definitions and setup for
+scaled fonts. For details about the font definition macros see
+[fntguide]_.
+
+Unknown makro in font definition file
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+The `Kepler Sans` font definition file ``omljkpss.fd`` contains a boolean
+that is defined in ``kpfonts.sty``. This leads to errors if the fonts are
+used from another package. Provide a dummy definition::
+
+ \newif\ifkp@upRm
+
+
+Common family name for text and math fonts
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+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 ::
+
+ \DeclareFontFamily{OML}{ppl}{\skewchar\font127}
+ \DeclareFontShape{OML}{ppl}{m}{it}{<-> ssub * zplm/m/it}{}
+ \DeclareFontShape{OML}{ppl}{bx}{it}{<-> ssub * zplm/b/it}{}
+
+
+Scaling
+~~~~~~~
+Scale the ``fav`` (Arev), ``iwona``, ``jkpss`` (Kepler Sans) and
+``llcmss`` (LX Fonts) sans serif fonts 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::
+
+ \DeclareFontFamily{OML}{fav}{\skewchar\font127}
+ \DeclareFontShape{OML}{fav}{m}{it}{<-> s * [\isomath@scaled] zavmri7m}{}
+ \DeclareFontShape{OML}{fav}{bx}{it}{<-> s * [\isomath@scaled] zavmbi7m}{}
+
+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}{}
+
+Kepler Serif (see ``omljkpss.fd``)::
+
+ \DeclareFontFamily{OML}{jkpss}{\skewchar\font127 }
+ \DeclareFontShape{OML}{jkpss}{m}{it}{<-> s * [\isomath@scaled] jkpssmi}{}
+ \DeclareFontShape{OML}{jkpss}{bx}{it}{<-> s * [\isomath@scaled] jkpssbmi}{}
+
+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}{}
+
+
+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://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://mirror.ctan.org/help/Catalogue/entries/oberdiek.html
+.. _`Typefaces for Symbols in Scientific Manuscripts`:
+ http://physics.nist.gov/cuu/pdf/typefaces.pdf
+.. _unicode-math:
+ http://mirror.ctan.org/help/Catalogue/entries/unicode-math.html
diff --git a/macros/latex/contrib/isomath/isomath.txt b/macros/latex/contrib/isomath/isomath.txt
new file mode 100644
index 0000000000..f91e12e667
--- /dev/null
+++ b/macros/latex/contrib/isomath/isomath.txt
@@ -0,0 +1,1113 @@
+.. -*- rst-mode -*-
+
+isomath
+*******
+Mathematical style for science and technology
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+:Author: Günter Milde
+:Date: 2012-09-10
+:Copyright: © 2008, 2012 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 provides tools for a mathematical style
+ that conforms to the International Standard ISO 80000-2 and is
+ common in science and technology. It changes the default shape of
+ capital Greek letters to italic, sets up bold italic and
+ sans-serif bold italic math alphabets with Latin and Greek
+ characters, and defines macros for markup of vector, matrix and
+ tensor symbols.
+
+.. contents:: :depth: 2
+.. sectnum::
+
+
+Features
+--------
+
+.. How do you write the stress tensor ``$\sigma$`` in a
+ *sans-serif bold italic* typeface, as recommended by [typefaces]_?
+
+In their style guides, e. g. [typefaces]_, [checklist]_, [SI]_,
+[fonts_for_symbols]_, [Red-Book]_, [Green-Book]_, many international
+scientific organisations recommend layout rules for mathematics in line with
+the International Standard [ISO-80000-2]_.
+
+.. admonition:: International standard layout rules
+
+ * The overall rule is that symbols representing physical quantities
+ (or variables) are italic, but symbols representing units, or
+ labels, are roman.
+
+ * Symbols for vectors and matrices are bold italic, symbols for tensors
+ are sans-serif bold italic.
+
+ * The above rules apply equally to letter symbols from the Greek and the
+ Latin alphabet.
+
+.. The recommendations in this standard are intended mainly for use in the
+ natural sciences and technology, but also apply to other areas where
+ mathematics is used.
+
+TeX's default mathematical style deviates from this rules in several
+points:
+
+* Capital Greek letters default to upright shape,
+
+* small Greek letters are excluded from font changes with the `math
+ alphabet`_ commands, and
+
+* the ``\vec`` command produces an arrow accent.
+
+
+The `isomath` package implements an `“ISO” math style`_, provides `new math
+alphabets`_ with *bold italic* and *sans-serif bold italic* type and macros
+for `semantic markup`_ of vector, matrix and tensor symbols. It can be
+combined with most packages for mathematical typesetting (see
+`<isomath-test.tex>`_ and the sections on alternatives_ and conflicts_).
+
+
+“ISO” math style
+~~~~~~~~~~~~~~~~
+
+Isomath builds on the package fixmath_ by Walter Schmidt to change the
+default mathematics layout to the “ISO” `math style`_:
+
++ Capital Greek letters are typeset in italic shape by default.
+
++ Both, Greek and Latin letters change shape if a different
+ `math alphabet`_ is used.
+
+.. Caution::
+
+ Be careful with Greek letters in the argument of ``\mathit``, ``\mathrm``,
+ ``\mathbf``, ``\mathsf``, and ``\mathtt``. By default, these `math
+ alphabets`_ use text fonts. Fonts in OT1 text font encoding have capital
+ (but not small) Greek letters at the expected places, T1 encoded text fonts
+ have no Greek letters at all.
+
+ See the examples_ section on `how to get upright small Greek letters`_ in
+ mathematical context.
+
+
+New math alphabets
+~~~~~~~~~~~~~~~~~~
+`Isomath` defines the new `math alphabets`_:
+
+.. class:: borderless
+
+=============== ====================== =================================
+``\mathbfit`` boldface italic vector and matrix symbols
+``\mathsfit`` sans-serif italic optional (see OMLmath*_ options)
+``\mathsfbfit`` sans-serif bold italic tensor symbols
+=============== ====================== =================================
+
+For compatibility with earlier versions and `related packages`_, the
+new math alphabets are also available under the aliases
+``\mathbold``, ``\mathsans``, and ``\mathboldsans``.
+
+The rmdefault_ and sfdefault_ options_ set the font family used for
+these alphabets.
+
+.. Caution::
+
+ 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``) contain old-style in place of italic digits.
+
+
+Semantic markup
+~~~~~~~~~~~~~~~
+The following commands set the argument in an ISO-conforming `math alphabet`_:
+
+.. class:: borderless
+
+========================== ========================================
+``\vectorsym, \matrixsym`` bold italic for Greek and Latin letters,
+ bold upright for numbers
+
+``\tensorsym`` sans-serif bold italic
+========================== ========================================
+
+
+Usage
+-----
+
+Make sure that LaTeX can find ``isomath.sty`` and load it with::
+
+ \usepackage{isomath}
+
+Optionally redefine the standard vector macro ``\vec``::
+
+ \renewcommand{\vec}{\vectorsym}
+
+(see also Options_, Examples_, and isomath-test.tex_).
+
+Options
+~~~~~~~
+
+rmdefault
+'''''''''
+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 most
+sans-serif fonts define the Computer Roman font `cmm` as OML substitution
+(see `Table 4`_).
+
+There are only few sans serif fonts in `OML font encoding`_:
+
+.. class:: borderless
+
+========== =========== =====================================================
+Name Package Comment
+========== =========== =====================================================
+``cmbr`` cmbright_ `Computer Modern Bright`, bitmap, slightly lighter
+ than cmss (Type 1 fonts with hfbright_)
+``fav`` arev_ `Arev` (`Vera Sans`), large x-height
+``hvm`` hvmath_ `Helvetica Math`, commercial, free bitmap version
+``iwona`` iwona_ `Iwona`, humanistic sans serif,
+ some shapes very similar to roman
+``jkpss`` kpfonts_ `Kepler Sans`, quite light
+``llcmss`` lxfonts_ `LX Fonts`, “slide fonts”, very wide, large x-height
+========== =========== =====================================================
+
+
+scaled
+''''''
+To improve the chances of finding a matching sans serif math font, the
+fonts ``fav``, ``iwona``, ``jkpss``, and ``llcmss`` can be scaled with the
+``scaled`` option (cf. Examples_). For other fonts, the option is ignored.
+
+
+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
+``\mathsf`` alphabets for italic bold and sans-serif bold. [#]_
+
+.. [#] To access the upright shapes, the corresponding ``\textbf`` and
+ ``\textsf`` commands might be used. Watch for side-effects, as these
+ commands switch to text mode so that the font settings in the embedding
+ text apply.
+
+.. _OMLmath*:
+
+OMLmathrm, OMLmathbf, OMLmathsf, OMLmathsfit, OMLmathtt
+'''''''''''''''''''''''''''''''''''''''''''''''''''''''
+
+The ``OMLmath*`` options bind the corresponding ``\math*`` command to an
+OML-encoded font.
+
+The ``\mathsfit`` alphabet is not required for ISO conforming mathematical
+layout and therefore only defined if the ``OMLmathsfit`` argument is used.
+
+The predefined `math alphabets`_ ``\mathrm``, ``\mathbf``, and ``\mathtt``
+use OT1 encoded text fonts with ligatures and accents in place of the small
+Greek letters. The ``OMLmath*`` options enable the use of small Greek
+letters in `math alphabet`_ commands, e. g. ``\mathrm{\pi}``, if the
+corresponding font is available in `OML font encoding`_. `Table 3`_ lists
+font families supporting the OML encoding.
+
+.. caution::
+
+ If no matching OML encoded font is found, LaTeX's substitute mechanism
+ 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.
+
+
+Examples
+~~~~~~~~
+
+* Use scaled arev_ fonts for the sans serif math alphabets
+ (adapt the scaling factor to your needs)::
+
+ \usepackage[sfdefault=fav,scaled=0.875]{isomath}
+
+* Define the ``\mathsfit`` sans-serif italic math alphabet::
+
+ \usepackage[OMLmathsfit]{isomath}
+
+
+* 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.
+
+ As a workaround, use the heavier arev_ font, scaled to 0,875, in the
+ bold version of ``\mathsfbfit``::
+
+ \usepackage{isomath}
+ \DeclareFontShape{OML}{fav}{bx}{it}{<-> s * [0.875] zavmbi7m}{}
+ \SetMathAlphabet{\mathsfbfit}{bold}{OML}{fav}{bx}{it}
+
+See also the `isomath-test.tex`_ test document.
+
+
+How to get upright small Greek letters
+''''''''''''''''''''''''''''''''''''''
+
+Of the following methods, only the first requires `isomath`:
+
+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 mode:
+
+ .. 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 }}}
+
+e) Use the text character with the `alphabeta` package from the lgrx_
+ bundle::
+
+ \usepackage{amsmath}
+ \usepackage{alphabeta}
+
+ and in the body ::
+
+ $ u = 2 \text{\pi} r $
+
+
+Related packages
+----------------
+
+Requirements
+~~~~~~~~~~~~
+
+fixmath_
+ by Walter Schmidt defines Greek letters as alphabetic symbols.
+
+kvoptions_
+ by Heiko Oberdiek facilitates the setup of package options
+ and provides a key=value interface (based on keyval_).
+
+
+Recommendations
+~~~~~~~~~~~~~~~
+
+cmbright_
+ 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_
+ 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
+~~~~~~~~~~~~
+
+The TUGboat article by Claudio Beccari [becc97]_ discusses tricks and
+commands for physicists and engineers in order to satisfy the international
+regulations and to distinguish similar symbols with different meanings.
+
+See `Table 2`_ for other packages that implement the “ISO” `math style`_ and
+`Table 6`_ for packages that provide bold italic math fonts.
+
+`“In-line math versions”`_
+ can be used as ISO-conforming replacement for ``\vec``:
+
+ * ``\bm`` from the `bm`_ package. Combining `bm` and `isomath` may
+ lead to the `too many math alphabets used in version normal`_ error.
+
+ * ``\boldsymbol`` from `amsbsy`_ (part of `amsmath`_, the
+ near-indispensable adjunct to serious mathematical typesetting in
+ LaTeX),
+
+amsmath_
+ provides the command ``\text``, that 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`_).
+
+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.
+
+ `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`”
+ This error occurs if the combination of packages tries to load more
+ than 16 fonts into the ``normal`` `math version`_.
+
+ `Isomath` can reduce the number of math alphabet definitions with the
+ reuseMathAlphabets_ option (see there for side-effects).
+
+ Examples for problematic combinations:
+
+ + The `kpfonts`_, `pxfonts`_, and `txfonts`_ packages define many
+ additional math alphabets (`kpfonts` works with `isomath`, if
+ it is loaded with ``\usepackage[nomathscript]{kpfonts}``).
+
+ + The `bm`_ package normally allocates several symbol fonts for bold
+ and heavy fonts. Their number can be customised by defining
+ ``\bmmax`` and ``\hmmax`` before loading the package.
+
+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 non-alphanumeric symbols from
+ `fourier`_ together with math alphabets from another package, e.g
+ `mathdesign`_::
+
+ \usepackage{fourier}
+ \usepackage[OMLmathbf,rmdefault=mdput,
+ sfdefault=arev,scaled=0.85]{isomath}
+
+sansmath_
+ defines a ``sans`` `math version`_ using **text** fonts in OT1 or T1 font
+ encoding. As fixmath/isomath expect math fonts in `OML font encoding`_,
+ Greek letters will not work inside the ``sans`` math version defined by
+ sansmath.
+
+
+Background
+----------
+
+This section discusses LaTeX `math font selection`_, the `OML font
+encoding`_, and the relation of LaTeX and `Unicode mathematical
+typesetting`_.
+
+
+Math font selection
+~~~~~~~~~~~~~~~~~~~
+
+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`_.
+
+.. _math alphabet:
+
+Math alphabets
+''''''''''''''
+
+TeX's *math alphabets* correspond 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:
+
+ Some math fonts are selected explicitly by one-argument commands
+ such as ``\mathsf{max}`` or ``\mathbf{vec}``; such fonts are called
+ *math alphabets*.
+
+ 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 _`predefined math alphabets` are:
+
+ .. class:: borderless
+
+ ================= ===============
+ ``\mathnormal`` default [#mathnormal]_
+ ``\mathrm`` roman [#roman]_
+ ``\mathbf`` bold roman
+ ``\mathsf`` sans serif
+ ``\mathit`` text italic
+ ``\mathtt`` typewriter
+ ``\mathcal`` calligraphic
+ ================= ===============
+
+.. [#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
+'''''''''''''
+
+*Math versions* specify the mapping from commands for mathematical
+symbols and `math alphabets`_ to a set of mathematical fonts [#]_.
+They are intended for mathematical content in a special context like a
+bold section heading. Selecting a math version resembles
+the individual selection of text font attributes.
+
+Example:
+ Some alternatives to set the letter ``a`` in a bold upright sans-serif
+ font:
+
+ .. class:: borderless
+
+ ============================ ===================================
+ Text Math
+ ============================ ===================================
+ ``\textbf{\textsf{a}}`` ``$\bm{\mathsf{a}}$``
+ ``\bfseries \textsf{a}`` ``\mathversion{bold} $\mathsf{a}$``
+ ``\bfseries \sffamily a`` ``$\mathsfbf{a}$``
+ ============================ ===================================
+
+
+The predefined math versions are ``normal`` and ``bold`` with the
+following defaults for non-specified font attributes:
+
+.. class:: borderless
+
+========= ========== ========
+attribute ``normal`` ``bold``
+========= ========== ========
+*type* serif serif
+*weight* medium bold
+*shape* upright upright
+========= ========== ========
+
+Packages can define additional math versions, e. g., the kpfonts_ package
+defines a ``sans`` math version (another ``sans`` math version example is
+available from a `comp.text.tex post``__) and the wrisym_ package defines a
+``mono`` math version.
+
+__ http://newsgroups.derkeiler.com/Archive/Comp/comp.text.tex/2007-09/msg00181.html
+
+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.
+
+.. [#] The number of mathematical symbols exceeds the maximal number of
+ characters in a TeX font file by an order of magnitude: Unicode
+ defines about 2500 mathematical characters [tr25]_, font files used by
+ 8-bit TeX engines are limited to 256 characters. The standard math
+ fonts adhere to the original limit of 128 characters. Grouping math
+ fonts with common characteristics in math versions simplifies the
+ setting of font attributes for mathematical expressions. TeX limits
+ the number of (symbol + alphanumeric) fonts per math version to 16.
+
+
+.. _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`_). [#]_
+LaTeX defaults to the “TeX” math style (without naming it such).
+Alternative math styles are introduced by extension packages
+(`Table 2`_).
+
+.. [#] The ``math-style`` option of unicode-math_ changes also the shape
+ attribute of other math alphabets (see also section
+ `the unicode-math package`_).
+
+.. _ 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
+ ============ ======= ======= ======= =======
+
+
+.. _Table 2:
+
+.. table:: Packages providing alternative 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
+ ============ ============= ==================================
+
+
+OML font encoding
+~~~~~~~~~~~~~~~~~
+
+The equal treatment of Latin and Greek letters in the `“ISO” math
+style`_ is best 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.
+
+Discussion
+''''''''''
+
+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
+ mathematical formulae (typically used for variables) together with some
+ symbols.
+
+The reference to *italic* shape is odd:
+
+* No other font encoding is specific to a font shape.
+
+* The different font selection and the semantic of font features in
+ mathematical formulae do not interfere with the font *encoding*: Both,
+ ``\DeclareSymbolFont`` and ``\DeclareMathAlphabet`` 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.
+
+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:
+
+* Drop the *italic* from the definition. Optionally add an explanation:
+
+ The OML encoding contains Latin and Greek letters for use in
+ mathematical formulae (typically used for variables) together with
+ some symbols. It first appeared in the `Computer Modern Math
+ Italic` (cmmi) font.
+
+* The name `TeX math italic` can be interpreted as “the encoding
+ **of** `Computer Modern Math Italic`” rather than “an encoding
+ **for** math italic” fonts.
+
+ A less confusing name would be `TeX math letters` or `Original/Old
+ Math Letters`. The latter would also explain the acronym OML.
+
+
+OML Support
+'''''''''''
+
+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 ``oml*.fd`` files
+and grepping for ``DeclareFont.*OML`` in ``*.sty`` files.
+
+`Table 3`_ lists the findings for a selection of TeXLive 2012 + 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.
+
+* 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 ``m/n`` or ``bx/n`` here.
+
+`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 3:
+
+.. table:: Font families supporting the OML encoding
+
+ ============= ================================= ======= ======== ====== =======
+ Name Family (package) m/it bx/it m/n bx/n
+ ============= ================================= ======= ======== ====== =======
+ antt Antykwa Torunska (anttor_) ✓ ✓
+ cmr Computer Modern ✓ ✓
+ ccr Concrete Roman (concmath_) ✓ ✓
+ cmbr CM Bright (cmbright_) ✓ ✓
+ hlh Lucida ✓ ✓
+ hfor CM with old-style digits ✓ ✓
+ iwona Iwona (sans serif) (iwona_) ✓ ✓
+ iwonal Iwona light ✓ ✓
+ iwonac Iwona condensed ✓ ✓
+ iwonalc Iwona light condensed ✓ ✓
+ jkp Kepler Serif (kpfonts_) ✓ ✓
+ jkpw Kepler Serif wide ✓ ✓
+ jkpvos Kepler Serif oldstyle ✓ ✓
+ jkpvosw Kepler Serif oldstyle wide ✓ ✓
+ jkpl Kepler Serif light ✓ ✓
+ jkplw Kepler Serif light wide ✓ ✓
+ jkplvos Kepler Serif light oldstyle ✓ ✓
+ jkplvosw Kepler Serif light os wide ✓ ✓
+ jkpss Kepler Sans (kpfonts_) ✓ ✓
+ jkpssvos Kepler Sans oldstyle ✓ ✓
+ jtm expanded Times (jamtimes_) ✓ ✓
+ llcmm LX Fonts (sans serif) (lxfonts_) ✓ ✓
+ lmr Latin Modern Roman (lmodern) ✓ ✓
+ mak Kerkis (kerkis_) ✓
+ kurier Kurier (sans serif) (kurier_) ✓ ✓
+ kurierc Kurier condensed ✓ ✓
+ kurierl Kurier light ✓ ✓
+ kurierlc Kurier light condensed ✓ ✓
+ mdbch Math Design Charter (mathdesign_) ✓ ✓ ✓ ✓
+ mdput Math Design Utopia ✓ ✓ ✓ ✓
+ mdugm Math Design Garamond ✓ ✓ ✓ ✓
+ neohellenic Neohellenic (gfsneohellenic_) ✓
+ ntxmi Times (newtx_) ✓ ✓
+ nxlmi Libertine (newtx_) ✓ ✓
+ plcm CM (PLaTeX) ✓
+ ptmom Times (Omega or MB-Times) ✓ ✓
+ ptmomu Times (Omega or MB-Times) ✓ ✓
+ ptmcm Times (mathptmx_) ✓
+ pxr Palatino (pxfonts_) ✓ ✓
+ qpl Palatino/Pagella (qpxmath) ✓ ✓
+ qtm Times/Termes (qtxmath) ✓ ✓
+ txr Times (txfonts_) ✓ ✓
+ udidot Didot (gfsdidot_) ✓
+ ywclm (greektex_) ✓ ✓
+ zavm Arev (Vera Sans-Serif) ✓ ✓
+ zplm Palatino (mathpazo_) ✓ ✓
+ zpple Palatino ✓ ✓
+ ztmcm Times (mathptmx_) ✓
+ zer Computer Modern (zefonts_) ✓ ✓
+ ============= ================================= ======= ======== ====== =======
+
+
+.. _Table 4:
+
+.. table:: Non-CM fonts with ``cmm`` as OML substitution
+
+ ============= ===============================
+ Family Name
+ ============= ===============================
+ bch Charter (psnfss)
+ pag Avant Garde (psnfss)
+ pbk Bookman (psnfss)
+ pcr Courier (psnfss)
+ phv Helvetica (psnfss)
+ pnc New Century Schoolbook (psnfss)
+ ppl Palatino (psnfss)
+ ptm Times Roman (psnfss)
+ put Utopia (psnfss)
+ pzc Zapf Chancery (psnfss)
+ uag Avant Garde (avantgar)
+ ubk Bookman (bookman)
+ ucr Courier (courier)
+ ucrs Courier
+ unc New Century Schoolbook (psnfss)
+ uni Universal (universa)
+ uhv Helvetica (helvetic)
+ upl Palatino (palatino)
+ utm Times (times)
+ uzc Zapf Chancery (zapfchan)
+ ============= ===============================
+
+
+Unicode mathematical typesetting
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+This section compares `math font selection`_ in LaTeX and Unicode. It
+suggests a set of 14 math alphabet commands 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).
+
+The technical report [tr25]_ presents an in-depth discussion of the
+mathematical character repertoire of the Unicode Standard as well as
+mathematical notation in general.
+
+.. _mathematical alphanumeric symbols:
+
+Unicode mathematical 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 assigns code points to most letters of the mathematical
+alphabets in the `mathematical alphanumeric symbols Unicode block`_.
+The plain (upright) 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.
+
+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 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.
+
+LaTeX support
+`````````````
+
+Most commonly used math alphabets are supported either by the TeX kernel
+or additional packages. Full support is only provided by `the unicode-math
+package`_.
+
+
+.. _Table 6:
+
+.. table:: LaTeX support for `mathematical alphanumeric symbols`_.
+
+ ============ ========================= ===========================
+ style math alphabet package, comment
+ ============ ========================= ===========================
+ plain [#up]_ ``\mathrm`` predefined [#no-g]_
+ .. ``\mathup`` unicode-math_, kpfonts_
+ 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_, sbbm_
+ .. ``\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 and
+ OML-encoded fonts
+.. [#digits] Some italic math fonts (e. g., cmr, cmbr) have old-style
+ numbers in place of italic digits.
+.. [#script] formal script with calrsfs_, eucal_, fourier_,
+ small Latin letters only with urwchancal_
+
+
+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 mathematical 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`_:
+
+ .. class:: borderless
+
+ =============== ===============
+ 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`_ can be set up using the syntax
+ ``\setmathfont[version=<version name>,<font features>]{<font name>}``
+
+* Several `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 font 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.
+
+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-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] National Institute of Standards and Technology (NIST_),
+ `Typefaces for Symbols in Scientific Manuscripts`:
+ http://physics.nist.gov/cuu/pdf/typefaces.pdf.
+
+.. [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.
+
+.. [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.
+
+.. [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].
+
+.. [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/.
+
+.. [becc97] Claudio Beccari, `Typesetting mathematics for science and
+ technology according to ISO 31 XI`, TUGboat, Volume 18, 1997, No. 1:
+ http://www.tug.org/TUGboat/tb18-1/tb54becc.pdf.
+
+.. [encguide] Frank Mittelbach, Robin Fairbairns, Werner Lemberg,
+ LaTeX3 Project Team, `LaTeX font encodings`:
+ http://mirror.ctan.org/macros/latex/doc/encguide.pdf.
+
+.. [fntguide] LaTeX3 Project Team, `LaTeX 2e font selection`:
+ http://mirror.ctan.org/macros/latex/doc/fntguide.pdf.
+
+.. [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:
+ http://www.tug.org/TUGboat/Articles/tb21-3/tb68beet.pdf.
+
+.. see also
+ [koma-mail] Custom font substitution: http://www.komascript.de/node/823.
+
+
+.. Links
+ =====
+
+.. _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 unicode block:
+ http://www.unicode.org/charts/PDF/U1D400.pdf
+.. _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
+.. _anttor: http://mirror.ctan.org/help/Catalogue/entries/anttor.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
+.. _concmath: http://mirror.ctan.org/help/Catalogue/entries/concmath.html
+.. _doublestoke: http://mirror.ctan.org/help/Catalogue/entries/doublestoke.html
+.. _efont: http://mirror.ctan.org/help/Catalogue/entries/efont.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
+.. _gfsdidot: http://mirror.ctan.org/help/Catalogue/entries/gfsdidot.html
+.. _gfsneohellenic: http://mirror.ctan.org/help/Catalogue/entries/gfsneohellenic.html
+.. _greektex: http://mirror.ctan.org/help/Catalogue/entries/greektex.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
+.. _jamtimes: http://mirror.ctan.org/help/Catalogue/entries/jamtimes.html
+.. _kerkis: http://mirror.ctan.org/help/Catalogue/entries/kerkis.html
+.. _keyval: http://mirror.ctan.org/help/Catalogue/entries/keyval.html
+.. _kpfonts: http://mirror.ctan.org/help/Catalogue/entries/kpfonts.html
+.. _kurier: http://mirror.ctan.org/help/Catalogue/entries/kurier.html
+.. _kvoptions: http://mirror.ctan.org/help/Catalogue/entries/kvoptions.html
+.. _lgrx: http://mirror.ctan.org/help/Catalogue/entries/lgrx.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
+.. _mathptmv: http://mirror.ctan.org/help/Catalogue/entries/mathptmv.html
+.. _mathrsfs: http://mirror.ctan.org/help/Catalogue/entries/mathrsfs.html
+.. _newtx: http://mirror.ctan.org/help/Catalogue/entries/newtx.html
+.. _New Euler: https://github.com/khaledhosny/euler-otf
+.. _pxfonts: http://mirror.ctan.org/help/Catalogue/entries/pxfonts.html
+.. _sansmath: http://mirror.ctan.org/help/Catalogue/entries/sansmath.html
+.. _sbbm: http://mirror.ctan.org/help/Catalogue/entries/sbbm.html
+.. _sfmath: http://dtrx.de/od/tex/sfmath.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
+.. _urwchancal: http://mirror.ctan.org/help/Catalogue/entries/urwchancal.html
+.. _wrisym: http://phong.informatik.uni-leipzig.de/~kuska/wri_texmf_4.2.zip
+.. _XITS: http://mirror.ctan.org/help/Catalogue/entries/xits.html
+.. _zefonts: http://mirror.ctan.org/help/Catalogue/entries/zefonts.html