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-% !TEX TS-program = XeLaTeX
-
-\providecommand\DTXFILES{}% if this .tex file is typeset, only include documentation
-\documentclass[a4paper]{ltxdoc}
-
-\makeatletter
-\GetFileInfo{unicode-math.dtx}
-\let\umfiledate\filedate
-\let\umfileversion\fileversion
-
-\CheckSum{0}
-\EnableCrossrefs
-\CodelineIndex
-
-\errorcontextlines=999
-
-\def\@dotsep{1000}
-\setcounter{tocdepth}{2}
-\setlength\columnseprule{0.4pt}
-\renewcommand\tableofcontents{\relax
- \begin{multicols}{2}[\section*{\contentsname}]\relax
- \@starttoc{toc}\relax
- \end{multicols}}
-
-\setcounter{IndexColumns}{2}
-\renewenvironment{theglossary}
- {\small\list{}{}
- \item\relax
- \glossary@prologue\GlossaryParms
- \let\item\@idxitem \ignorespaces
- \def\pfill{\hspace*{\fill}}}
- {\endlist}
-
-\usepackage[svgnames]{xcolor}
-\usepackage[inline]{enumitem}
-\usepackage{array,booktabs,calc,enumitem,fancyvrb,graphicx,ifthen,longtable,refstyle,subfig,topcapt,url,varioref,underscore}
-\setcounter{LTchunksize}{100}
-\usepackage[slash-delimiter=frac,nabla=literal]{unicode-math}
-\usepackage{metalogo,hologo}
-
-\fvset{fontsize=\small,xleftmargin=2em}
-\usepackage[it]{titlesec}
-
-\setmainfont{texgyrepagella}%
- [
- Extension = .otf ,
- UprightFont = *-regular ,
- ItalicFont = *-italic ,
- BoldFont = *-bold ,
- BoldItalicFont = *-bolditalic ,
- ]
-\setsansfont{Iwona}%
- [
- Scale=MatchLowercase,
- Extension = .otf,
- UprightFont = *-Regular,
- ItalicFont = *-Italic,
- BoldFont = *-Bold,
- BoldItalicFont = *-BoldItalic,
- ]
-\setmonofont{Inconsolatazi4-Regular.otf}%
- [
- Scale=MatchLowercase,
- BoldFont=Inconsolatazi4-Bold.otf
- ]
-
-\setmathfont{texgyrepagella-math.otf}
-\setmathfont[version=xits]{xits-math.otf}
-\newfontface\umfont{xits-math.otf}
-
-\usepackage{hypdoc}
-\hypersetup{linktocpage}
-
-% work around some issue turning | into "j" inside mathsf in the definition of \Module:
-% (also prettify)
-\def\Module#1{{\footnotesize\color{red}$\langle$\texttt{#1}$\rangle$}}
-
-\usepackage{minitoc}
-
-\linespread{1.1}
-\frenchspacing
-
-\definecolor{niceblue}{rgb}{0.2,0.4,0.8}
-
-\def\theCodelineNo{\textcolor{niceblue}{\sffamily\tiny\arabic{CodelineNo}}}
-
-\newcommand*\name[1]{{#1}}
-\newcommand*\pkg[1]{\textsf{#1}}
-\newcommand*\feat[1]{\texttt{#1}}
-\newcommand*\opt[1]{\texttt{#1}}
-
-\newcommand*\note[1]{\unskip\footnote{#1}}
-
-\let\latin\textit
-\def\eg{\latin{e.g.}}
-\def\Eg{\latin{E.g.}}
-\def\ie{\latin{i.e.}}
-\def\etc{\@ifnextchar.{\latin{etc}}{\latin{etc.}\@}}
-
-\def\STIX{\textsc{stix}}
-\def\MacOSX{Mac~OS~X}
-\def\ascii{\textsc{ascii}}
-\def\OMEGA{Omega}
-
-\newcounter{argument}
-
-\makeatletter
-\g@addto@macro\endmacro{\setcounter{argument}{0}}
-\makeatother
-
-\newcommand*\darg[1]{%
- \stepcounter{argument}%
- {\ttfamily\char`\#\theargument~:~}#1\par\noindent\ignorespaces
-}
-\newcommand*\doarg[1]{%
- \stepcounter{argument}%
- {\ttfamily\makebox[0pt][r]{[}\char`\#\theargument]:~}#1\par\noindent\ignorespaces
-}
-
-\newcommand\codeline[1]{\par{\centering#1\par\noindent}\ignorespaces}
-
-\newcommand\unichar[1]{\textsc{u}+\texttt{\small#1}}
-
-\setlength\parindent{2em}
-
-\def \MakePrivateLetters {%
- \catcode`\@=11\relax
- \catcode`\_=11\relax
- \catcode`\:=11\relax
-}
-
-\def\partname{Part}
-
-\makeatother
-
-\begin{document}
-
-\title{Experimental Unicode mathematical typesetting: The \pkg{unicode-math} package}
-\author{Will Robertson, Philipp Stephani and Khaled Hosny\\
- \texttt{will.robertson@latex-project.org}}
-\date{\umfiledate \qquad \umfileversion}
-
-\maketitle
-
-\begin{abstract}
-\noindent
-This document describes the \pkg{unicode-math} package, which is
-intended as an implementation of Unicode
-maths for \LaTeX\ using the \XeTeX\ and Lua\TeX\ typesetting engines.
-With this package, changing maths fonts is as easy as changing
-text fonts --- and there are more and more maths fonts appearing now.
-Maths input can also be simplified with Unicode since literal glyphs may be
-entered instead of control sequences in your document source.
-
-The package provides support for both \XeTeX\ and Lua\TeX. The different
-engines provide differing levels of support for Unicode maths.
-Please let us know of any troubles.
-
-Alongside this documentation file, you should be able to find a minimal
-example demonstrating the use of the package,
-`\texttt{unimath-example.ltx}'. It also comes with a separate document,
-`\texttt{unimath-symbols.pdf}',
-containing a complete listing of mathematical symbols defined by
-\pkg{unicode-math}, including comparisons between different fonts.
-
-Finally, while the STIX fonts may be used with this package, accessing
-their alphabets in their `private user area' is not yet supported.
-(Of these additional alphabets there is a separate caligraphic design
-distinct to the script design already included.)
-Better support for the STIX fonts is planned for an upcoming revision of the
-package after any problems have been ironed out with the initial version.
-
-\end{abstract}
-
-\doparttoc\faketableofcontents
-
-\newpage
-\part{User documentation}
-\parttoc
-
-\clearpage
-\section{Introduction}
-
-This document describes the \pkg{unicode-math} package, which is an
-\emph{experimental} implementation of a macro to Unicode glyph encoding for
-mathematical characters.
-
-Users who desire to specify maths alphabets only (Greek and Latin letters,
-and Arabic numerals)
-may wish to use Andrew Moschou's \pkg{mathspec} package instead.
-(\XeTeX-only at time of writing.)
-
-\section{Acknowledgements}
-
-Many thanks to:
-Microsoft for developing the mathematics extension to OpenType as part of
-Microsoft Office~2007;
-Jonathan Kew for implementing Unicode math support in \XeTeX;
-Taco Hoekwater for implementing Unicode math support in \LuaTeX;
-Barbara Beeton for her prodigious effort compiling the definitive list of Unicode math
-glyphs and their \LaTeX\ names (inventing them where necessary), and also
-for her thoughtful replies to my sometimes incessant questions;
-Philipp Stephani for extending the package to support \LuaTeX.
-Ross Moore and Chris Rowley have provided moral and technical support
-from the very early days with great insight into the issues we face trying
-to extend and use \TeX\ in the future.
-Apostolos Syropoulos, Joel Salomon, Khaled Hosny, and Mariusz Wodzicki
-have been fantastic beta testers.
-
-\section{Getting started}
-
-Load \pkg{unicode-math} as a regular \LaTeX\ package. It should be loaded
-after any other maths or font-related package in case it needs to overwrite
-their definitions. Here's an example using the filename syntax to load the \TeX\ Gyre Pagella Math font: (this works for both \XeLaTeX\ and \LuaLaTeX)
-\begin{Verbatim}
-\usepackage{amsmath} % if desired
-\usepackage{unicode-math}
-\setmathfont{texgyrepagella-math.otf}
-\end{Verbatim}
-
-Once the package is loaded, traditional TFM-based maths fonts are no longer supported;
-you can only switch to a different OpenType maths font using the \cs{setmathfont} command.
-If you do not load an OpenType maths font before |\begin{document}|, Latin Modern Math (see above) will be loaded automatically.
-
-\subsection{New commands}
-\pkg{unicode-math} provides a number of commands (such as |\symbfsf|) to select specific `symbol alphabets' within the unicode maths font, with usage, e.g., |$\symbfsf{g}$|${}\to\symbfsf{g}$.
-The full listing is shown in \Tabref{symvsmath}.
-For backwards compatibility, many of these are also defined with `familiar' synonyms such as |\mathbfsf|.
-However, where possible the `sym' prefix commands should be preferred, as certain synonyms may become deprecated in time.
-
-\begin{table}\centering
- \topcaption{New \pkg{unicode-math} commands.}
- \tablabel{symvsmath}
- \begin{tabular}{lll}
- \toprule
- \pkg{unicode-math} command & Synonym \\
- \midrule
- |\symup| & \\
- |\symit| & \\
- |\symbf| & \\
- |\symsf| & \\
- |\symtt| & \\
- \midrule
- |\symnormal| & |\mathnormal| \\
- |\symliteral| & \\
- |\symbfup| & |\mathbfup| \\
- |\symbfit| & |\mathbfit| \\
- |\symsfup| & |\mathsfup| \\
- |\symsfit| & |\mathsfit| \\
- |\symbfsfup| & |\mathbfsfup| \\
- |\symbfsfit| & |\mathbfsfit| \\
- |\symbfsf| & |\mathbfsf| \\
- |\symbb| & |\mathbb| \\
- |\symbbit| & |\mathbbit| \\
- |\symscr| & |\mathscr| \\
- |\symbfscr| & |\mathbfscr| \\
- |\symcal| & |\mathcal| \\
- |\symbfcal| & |\mathbfcal| \\
- |\symfrak| & |\mathfrak| \\
- |\symbffrak| & |\mathbffrak| \\
- \bottomrule
- \end{tabular}
-\end{table}
-
-While most alphabet commands are provided with the \cs{math...} prefix synonyms, there are five `legacy' font alphabets that intentionally behave somewhat different.
-These are \cs{mathup}, \cs{mathit}, \cs{mathbf}, \cs{mathsf}, and \cs{mathtt}.
-(N.B.: \cs{mathrm} is defined as a synonym for \cs{mathup}, but the latter is prefered as it is a script-agnostic term.)
-
-These commands have `overloaded' meanings in traditional \LaTeX, and it's important to consider the subtle differences between, e.g., the new \cs{symbf} and \cs{mathbf}.
-The \cs{symbf} command switches to single-letter mathematical symbols (generally within the same OpenType font).
-The \cs{mathbf} command switches to a text font that is set up to behave correctly in mathematics, and should be used for multi-letter identifiers.
-These could be denoted `text math alphabets'; further details are discussed in \secref{mathselect}.
-Additional similar `text math alphabet' commands can be defined using the \cs{setmathfontface} command discussed in \secref{mathselect}.
-To control the behaviour of the default text math alphabet commands to behave in a backwards-compatible mode, see the package options described in \secref{textmathlegacy}.
-
-\subsection{Package options}
-Package options may be set when the package as loaded or at any later
-stage with the \cs{unimathsetup} command. Therefore, the following two
-examples are equivalent:
-\begin{Verbatim}
-\usepackage[math-style=TeX]{unicode-math}
-% OR
-\usepackage{unicode-math}
-\unimathsetup{math-style=TeX}
-\end{Verbatim}
-Note, however, that some package options affects how maths is initialised
-and changing an option such as |math-style| will not take effect until a
-new maths font is set up.
-
-Package options may \emph{also} be used when declaring new maths fonts,
-passed via options to the \cs{setmathfont} command.
-Therefore, the following two examples are equivalent:
-\begin{Verbatim}
-\unimathsetup{math-style=TeX}
-\setmathfont{Cambria Math}
-% OR
-\setmathfont{Cambria Math}[math-style=TeX]
-\end{Verbatim}
-
-A summary list of package options is shown in \tabref{pkgopt}.
-See following sections for more information.
-
-\begin{table}\centering
- \topcaption{Package options.}
- \tablabel{pkgopt}
- \begin{tabular}{lll}
- \toprule
- Option & Description & See\dots \\
- \midrule
- |math-style| & Style of letters & \secref{math-style} \\
- |bold-style| & Style of bold letters & \secref{bold-style} \\
- |sans-style| & Style of sans serif letters & \secref{sans-style} \\
- |nabla| & Style of the nabla symbol & \secref{nabla} \\
- |partial| & Style of the partial symbol & \secref{partial} \\
- |colon| & Behaviour of \cs{colon} & \secref{colon} \\
- |slash-delimiter| & Glyph to use for `stretchy' slash & \secref{slash-delimiter} \\
- \bottomrule
- \end{tabular}
-\end{table}
-
-
-\section{Unicode maths font setup}
-
-In the ideal case, a single Unicode font will contain all maths glyphs we
-need. The file |unicode-math-table.tex| (based on Barbara Beeton's \STIX\ table)
-provides the mapping between Unicode
-maths glyphs and macro names (all 3298 — or however many — of them!). A
-single command
-\codeline{\cmd\setmathfont\marg{font name}\oarg{font features}}
-implements this for every every symbol and alphabetic variant.
-That means |x| to $x$, |\xi| to $\xi$, |\leq| to $\leq$, etc., |\symscr{H}|
-to $\symscr{H}$ and so on, all for Unicode glyphs within a single font.
-
-This package deals well with Unicode characters for maths
-input. This includes using literal Greek letters in formulae,
-resolving to upright or italic depending on preference.
-
-Font features specific to \pkg{unicode-math} are shown in \tabref{mathfontfeatures}.
-Package options (see \tabref{pkgopt}) may also be used.
-Other \pkg{fontspec} features are also valid.
-
-\begin{table}\centering
- \topcaption{Maths font options.}
- \tablabel{mathfontfeatures}
- \begin{tabular}{lll}
- \toprule
- Option & Description & See\dots \\
- \midrule
- |range| & Style of letters & \secref{range} \\
- |script-font| & Font to use for sub- and super-scripts & \secref{sscript} \\
- |script-features| & Font features for sub- and super-scripts & \secref{sscript} \\
- |sscript-font| & Font to use for nested sub- and super-scripts & \secref{sscript} \\
- |sscript-features| & Font features for nested sub- and super-scripts & \secref{sscript} \\
- \bottomrule
- \end{tabular}
-\end{table}
-
-\subsection{Using multiple fonts}
-\seclabel{range}
-
-There will probably be few cases where a single Unicode maths font suffices
-(simply due to glyph coverage). The \STIX\ font comes to mind as a
-possible exception. It will therefore be necessary to delegate specific
-Unicode ranges of glyphs to separate fonts:
- \codeline{\cmd\setmathfont\marg{font name}|[range=|\meta{unicode range}|,|\meta{font features}|]|}
-where \meta{unicode range} is a comma-separated list of Unicode slot numbers and ranges such as |{"27D0-"27EB,"27FF,"295B-"297F}|.
-Note that \TeX's syntax for accessing the slot number of a character, such as |`\+|, will also work here.
-
-You may also use the macro for accessing the glyph, such as \cs{int}, or whole collection of symbols with the same math type, such as \cs{mathopen}, or complete math styles such as \cs{symbb}.
-(Only numerical slots, however, can be used in ranged declarations.)
-
-\subsubsection{Control over alphabet ranges}
-
-As discussed earlier, Unicode mathematics consists of a number of `alphabet styles' within a single font. In \pkg{unicode-math}, these ranges are indicated with the following (hopefully self-explanatory) labels:
-\begin{quote}\ttfamily
-\ExplSyntaxOn
-\clist_use:Nn \g__um_named_ranges_clist {\,,\,~}
-\ExplSyntaxOff
-\end{quote}
-Fonts can be selected for specified ranges only using the following syntax, in which case all other maths font setup remains untouched:
-\begin{itemize}
-\item |[range=bb]| to use the font for `|bb|' letters only.
-\item |[range=bfsfit/{greek,Greek}]| for Greek lowercase and uppercase only (also with |latin|, |Latin|, |num| as possible options for Latin lower-/upper-case and numbers, resp.).
-\item |[range=up->sfup]| to map to different output styles.
-\end{itemize}
-
-Note that `meta-styles' such as `|bf|' and `|sf|' are not included here since they are context dependent. Use |[range=bfup]| and |[range=bfit]| to effect changes to the particular ranges selected by `|bf|' (and similarly for `|sf|').
-
-If a particular math style is not defined in the font, we fall back onto the lower-base plane (i.e., `upright') glyphs.
-Therefore, to use an \ascii-encoded fractur font, for example, write
-\begin{Verbatim}
- \setmathfont{SomeFracturFont}[range=frak]
-\end{Verbatim}
-and because the math plane fractur glyphs will be missing, \pkg{unicode-math} will know to use the \ascii\ ones instead.
-If necessary this behaviour can be forced with |[range=frak->up]|, since the `|up|' range corresponds to \ascii\ letters.
-
-%If you wanted to swap the maths symbols with sans serif forms, it would be possible to write |[range={up->sfup,it->sfit}]|.
-%Note, however, that at present Unicode does not encode glyphs for sans serif Greek (\tabref{mathalphabets}).
-
-Users of the impressive Minion Math fonts (commercial) may use remapping to access the bold glyphs using:
-\begin{Verbatim}
- \setmathfont{MinionMath-Regular.otf}
- \setmathfont{MinionMath-Bold.otf}[range={bfup->up,bfit->it}]
-\end{Verbatim}
-To set up the complete range of optical sizes for these fonts, a font declaration such as the following may be used: (adjust may be desired according to the font size of the document)
-\begin{Verbatim}
-\setmathfont{Minion Math}[
- SizeFeatures = {
- {Size = -6.01, Font = MinionMath-Tiny},
- {Size = 6.01-8.41, Font = MinionMath-Capt},
- {Size = 8.41-13.01, Font = MinionMath-Regular},
- {Size = 13.01-19.91, Font = MinionMath-Subh},
- {Size = 19.91-, Font = MinionMath-Disp}
- }]
-
-\setmathfont{Minion Math}[range = {bfup->up,bfit->it},
- SizeFeatures = {
- {Size = -6.01, Font = MinionMath-BoldTiny},
- {Size = 6.01-8.41, Font = MinionMath-BoldCapt},
- {Size = 8.41-13.01, Font = MinionMath-Bold},
- {Size = 13.01-19.91, Font = MinionMath-BoldSubh},
- {Size = 19.91-, Font = MinionMath-BoldDisp}
- }]
-\end{Verbatim}
-\textbf{v0.8:} Note that in previous versions of \pkg{unicode-math}, these features were labelled |[range=\mathbb]| and so on. This old syntax is still supported for backwards compatibility, but is now discouraged.
-
-
-\subsection{Script and scriptscript fonts/features}
-\seclabel{sscript}
-
-Cambria Math uses OpenType font features to activate smaller optical sizes
-for scriptsize and scriptscriptsize symbols (the $B$ and $C$, respectively,
-in $A_{B_C}$).
-Other typefaces (such as Minion Math) may use entirely separate font files.
-
-The features |script-font| and |sscript-font| allow alternate fonts to be
-selected for the script and scriptscript sizes, and |script-features| and
-|sscript-features| to apply different OpenType features to them.
-
-By default |script-features| is defined as |Style=MathScript| and |sscript-features| is |Style=MathScriptScript|.
-These correspond to the two levels of OpenType's |ssty| feature tag.
-If the |(s)script-features| options are specified manually, you must
-additionally specify the |Style| options as above.
-
-
-\subsection{Maths `versions'}
-
-\LaTeX\ uses a concept known as `maths versions' to switch math fonts
-mid-document.
-This is useful because it is more efficient than loading a complete maths
-font from scratch every time---especially with thousands of glyphs in the case of Unicode maths!
-The canonical example for maths versions is to select a `bold' maths font
-which might be suitable for section headings, say.
-(Not everyone agrees with this typesetting choice, though; be careful.)
-
-To select a new maths font in a particular version, use the syntax
- \codeline{\cmd\setmathfont\marg{font name}|[version=|\meta{version name}|,|\meta{font features}|]|}
-and to switch between maths versions mid-document use the standard \LaTeX\ command
-\cmd\mathversion\marg{version name}.
-
-
-\subsection{Legacy maths `alphabet' commands}
-\seclabel{mathselect}
-
-\LaTeX\ traditionally uses \cs{DeclareMathAlphabet} and \cs{SetMathAlphabet} to define document commands such as \cs{mathit}, \cs{mathbf}, and so on.
-While these commands can still be used, \pkg{unicode-math} defines a wrapper command to assist with the creation of new such maths alphabet commands.
-This command is known as \cs{setmathface} in symmetry with \pkg{fontspec}'s \cs{newfontface} command; it takes syntax:
-\begin{quote}
- \cmd\setmathfontface\meta{command}\marg{font name}|[|\meta{font features}|]|
-
- \makebox[0pt][l]{\cmd\setmathfontface\meta{command}\marg{font name}|[||version=|\meta{version name}|,|\meta{font features}|]|}
-\end{quote}
-For example, if you want to define a new legacy maths alphabet font \cs{mathittt}:
-\begin{verbatim}
- \setmathfontface\mathittt{texgyrecursor-italic.otf}
- ...
- $\mathittt{foo} = \mathittt{a} + \mathittt{b}$
-\end{verbatim}
-
-
-\subsubsection{Default `text math' fonts}
-
-The five `text math' fonts, discussed above, are: \cs{mathrm}, \cs{mathbf}, \cs{mathit}, \cs{mathsf}, and \cs{mathtt}.
-These commands are also defined with their original definition under synonyms \cs{mathtextrm}, \cs{mathtextbf}, and so on.
-
-When selecting document fonts using \pkg{fontspec} commands such as \cs{setmainfont}, \pkg{unicode-math} inserts some additional code into \pkg{fontspec} that keeps the current default fonts `in sync' with their corresponding \cs{mathrm} commands, etc.
-
-For example, in standard \LaTeX, \cs{mathsf} doesn't change even if the main document font is changed using |\renewcommand\sfdefault{...}|. With \pkg{unicode-math} loaded, after writing |\setsansfont{Helvetica}|, \cs{mathsf} will now be set in Helvetica.
-
-If the \cs{mathsf} font is set explicitly at any time in the preamble, this `auto-following' does not occur. The legacy math font switches can be defined either with commands defined by \pkg{fontspec} (|\setmathrm|, |\setmathsf|, etc.) or using the more general |\setmathfontface\mathsf| interface defined by \pkg{unicode-math}.
-
-
-\subsubsection{Replacing `text math' fonts by symbols}
-\seclabel{textmathlegacy}
-
-For certain types of documents that use legacy input syntax (say you're typesetting a new version of a book written in the 1990s), it would be preferable to use |\symbf| rather than |\mathbf| en masse.
-For example, if bold maths is used only for vectors and matrices, a dedicated symbol font will produce better spacing and will better match the main math font.
-
-Alternatively, you may have used an old version of \pkg{unicode-math} (pre-v0.8), when the \cs{symXYZ} commands were not defined and \cs{mathbf} behaved like \cs{symbf} does now.
-A series of package options (\tabref{legacyfontswitch}) are provided to facilitate switching the definition of \cs{mathXYZ} for the five legacy text math font definitions.
-
-\begin{table}
- \centering
- \topcaption{Maths text font configuration options. Note that \cs{mathup} and \cs{mathrm} are aliases of each other and cannot be configured separately.}
- \tablabel{legacyfontswitch}
- \begin{tabular}{lll}
- \toprule
- Defaults (from `text' font) & From `maths symbols' \\
- \midrule
- |mathrm=text| & |mathrm=sym | \\
- |mathup=text|\rlap{$^\ast$} & |mathup=sym|{}\rlap{$^\ast$} \\
- |mathit=text| & |mathit=sym | \\
- |mathsf=text| & |mathsf=sym | \\
- |mathbf=text| & |mathbf=sym | \\
- |mathtt=text| & |mathtt=sym | \\
- \bottomrule
- \end{tabular}
-\end{table}
-
-
-\subsubsection{Operator font}
-
-\LaTeX\ defines an internal command \cs{operator@font} for typesetting elements such as |\sin| and |\cos|.
-This font is selected from the legacy |operators| NFSS `MathAlphabet', which is no longer relevant in the context of \pkg{unicode-math}.
-By default, the \cs{operator@font} command is defined to switch to the \cs{mathrm} font.
-You may now change these using the command:
-\begin{Verbatim}
-\setoperatorfont\mathit
-\end{Verbatim}
-Or, to select a \pkg{unicode-math} range:
-\begin{Verbatim}
-\setoperatorfont\symscr
-\end{Verbatim}
-\setoperatorfont\symscr
-For example, after the latter above, |$\sin x$| will produce `$\sin x$'.
-
-\mathversion{normal}
-\setoperatorfont\mathrm
-
-
-\section{Maths input}
-
-\XeTeX's Unicode support allows maths input through two methods. Like
-classical \TeX, macros such as \cmd\alpha, \cmd\sum, \cmd\pm, \cmd\leq, and
-so on, provide verbose access to the entire repertoire of characters defined
-by Unicode. The literal characters themselves may be used instead, for more
-readable input files.
-
-\subsection{Math `style'}
-\seclabel{math-style}
-
-Classically, \TeX\ uses italic lowercase Greek letters and \emph{upright}
-uppercase Greek letters for variables in mathematics. This is contrary to
-the \textsc{iso} standards of using italic forms for both upper- and lowercase.
-Furthermore, in various historical contexts, often associated with French typesetting, it was common to use upright uppercase \emph{Latin} letters as well as upright
-upper- and lowercase Greek, but italic lowercase latin. Finally, it is not unknown to use upright letters
-for all characters, as seen in the Euler fonts.
-
-The \pkg{unicode-math} package accommodates these possibilities with the
-option \opt{math-style} that takes one of four (case sensitive) arguments:
-\opt{TeX}, \opt{ISO}, \opt{french}, or \opt{upright}.\footnote{Interface inspired by Walter Schmidt's \pkg{lucimatx} package.}
-The \opt{math-style} options' effects are shown in brief in \tabref{math-style}.
-
-The philosophy behind the interface to the mathematical symbols
-lies in \LaTeX's attempt of separating content and formatting. Because input
-source text may come from a variety of places, the upright and
-`mathematical' italic Latin and Greek alphabets are \emph{unified} from the
-point of view of having a specified meaning in the source text. That is, to
-get a mathematical ‘$x$’, either the \ascii\ (`keyboard') letter |x| may
-be typed, or the actual Unicode character may be used. Similarly for Greek
-letters. The upright or italic forms are then chosen based on the
-|math-style| package option.
-
-If glyphs are desired that do not map as per the package option (for
-example, an upright `g' is desired but typing |$g$| yields `$g$'),
-\emph{markup} is required to specify this; to follow from the example:
-|\symup{g}|.
-Maths style commands such as \cmd\symup\ are detailed later.
-
-\paragraph{`Literal' interface}
-Some may not like this convention of normalising their input.
-For them, an upright |x| is an upright `x' and that's that.
-(This will be the case when obtaining source text from copy/pasting PDF or
-Microsoft Word documents, for example.)
-For these users, the |literal| option to |math-style| will effect this behaviour.
-The \cs{symliteral}\marg{syms} command can also be used, regardless of package setting, to force the style to match the literal input characters.
-This is a `mirror' to \cs{symnormal}\marg{syms} (also alias \cs{mathnormal}) which `resets' the character mapping in its argument to that originally set up through package options.
-
-\begin{table}
- \centering
- \topcaption{Effects of the \opt{math-style} package option.}
- \tablabel{math-style}
- \begin{tabular}{@{}>{\ttfamily}lcc@{}}
- \toprule
- & \multicolumn{2}{c}{Example} \\
- \cmidrule(l){2-3}
- \rmfamily Package option & Latin & Greek \\
- \midrule
- math-style=ISO & $(a,z,B,X)$ & $\symit{(\alpha,\beta,\Gamma,\Xi)}$ \\
- math-style=TeX & $(a,z,B,X)$ & $(\symit\alpha,\symit\beta,\symup\Gamma,\symup\Xi)$ \\
- math-style=french & $(a,z,\symup B,\symup X)$ & $(\symup\alpha,\symup\beta,\symup\Gamma,\symup\Xi)$ \\
- math-style=upright & $(\symup a,\symup z,\symup B,\symup X)$ & $(\symup\alpha,\symup\beta,\symup\Gamma,\symup\Xi)$ \\
- \bottomrule
- \end{tabular}
-\end{table}
-
-
-\subsection{Bold style}
-\seclabel{bold-style}
-
-Similar as in the previous section, ISO standards differ somewhat to \TeX's
-conventions (and classical typesetting) for `boldness' in mathematics. In
-the past, it has been customary to use bold \emph{upright} letters to denote
-things like vectors and matrices. For example, \( \symbfup{M} =
-(\mitM_x,\mitM_y,\mitM_z) \). Presumably, this was due to the relatively
-scarcity of bold italic fonts in the pre-digital typesetting era.
-It has been suggested by some that \emph{italic} bold symbols should be used nowadays instead, but this practise is certainly not widespread.
-
-Bold Greek letters have simply been bold variant glyphs of their regular
-weight, as in \( \mbfitxi = (\mitxi_\mitr,\mitxi_\mitphi,\mitxi_\mittheta)
-\).
-Confusingly, the syntax in \LaTeX\ traditionally has been different for obtaining `normal' bold symbols in Latin and Greek: \cmd\mathbf\ in the former (`$\symbfup{M}$'), and \cmd\bm\ (or
-\cmd\boldsymbol, deprecated) in the latter (`$\mbfitxi$').
-
-In \pkg{unicode-math}, the \cmd\symbf\ command works directly with both
-Greek and Latin maths characters and depending on package option
-either switches to upright for Latin letters (|bold-style=TeX|) as well or
-keeps them italic (|bold-style=ISO|).
-To match the package options for non-bold characters, with option
-|bold-style=upright| all bold characters are upright, and
-|bold-style=literal| does not change the upright/italic shape of the letter.
-The \opt{bold-style} options' effects are shown in brief in \tabref{bold-style}.
-
-Upright and italic bold mathematical letters input as direct Unicode
-characters are normalised with the same rules. For example, with
-|bold-style=TeX|, a literal bold italic latin character will be typeset
-upright.
-
-Note that \opt{bold-style} is independent of \opt{math-style}, although if
-the former is not specified then matching defaults are chosen based on the
-latter.
-
-\begin{table}
- \centering
- \topcaption{Effects of the \opt{bold-style} package option.}
- \tablabel{bold-style}
- \begin{tabular}{@{}>{\ttfamily}lcc@{}}
- \toprule
- & \multicolumn{2}{c}{Example} \\
- \cmidrule(l){2-3}
- \rmfamily Package option & Latin & Greek \\
- \midrule
- bold-style=ISO & $(\symbfit a, \symbfit z, \symbfit B, \symbfit X)$ & $(\symbfit\alpha, \symbfit\beta, \symbfit\Gamma, \symbfit\Xi)$ \\
- bold-style=TeX & $(\symbfup a,\symbfup z,\symbfup B,\symbfup X)$ & $(\symbfit\alpha, \symbfit\beta,\symbfup \Gamma,\symbfup \Xi)$ \\
- bold-style=upright & $(\symbfup a,\symbfup z,\symbfup B,\symbfup X)$ & $(\symbfup \alpha,\symbfup \beta,\symbfup \Gamma,\symbfup \Xi)$ \\
- \bottomrule
- \end{tabular}
-\end{table}
-
-
-\subsection{Sans serif style}
-\seclabel{sans-style}
-
-Unicode contains upright and italic, medium and bold mathematical style characters.
-These may be explicitly selected with the \cs{mathsfup}, \cs{mathsfit}, \cs{mathbfsfup}, and \cs{mathbfsfit}
-commands discussed in \secref{all-math-alphabets}.
-
-How should the generic \cs{mathsf} behave? Unlike bold, sans serif is used much more sparingly
-in mathematics. I've seen recommendations to typeset tensors in sans serif italic
-or sans serif italic bold (e.g., examples in the \pkg{isomath} and \pkg{mattens} packages).
-But \LaTeX's \cs{mathsf} is \textsl{upright} sans serif.
-
-Therefore I reluctantly add the package options |[sans-style=upright]| and |[sans-style=italic]| to control the behaviour of \cs{mathsf}.
-The |upright| style sets up the command to use upright sans serif, including Greek;
-the |italic| style switches to using italic in both Latin and Greek.
-In other words, this option simply changes the meaning of \cs{mathsf} to either \cs{mathsfup} or \cs{mathsfit}, respectively.
-Please let me know if more granular control is necessary here.
-
-There is also a |[sans-style=literal]| setting, set automatically with |[math-style=literal]|, which retains the uprightness of the input characters used when selecting the sans serif output.
-
-\subsubsection{What about bold sans serif?}
-
-While you might want your bold upright and your sans serif italic, I don't believe you'd also want
-your bold sans serif upright (or all vice versa, if that's even conceivable). Therefore, bold sans
-serif follows from the setting for sans serif; it is completely independent of the setting for bold.
-
-In other words, \cs{mathbfsf} is either \cs{mathbfsfup} or \cs{mathbfsfit} based on |[sans-style=upright]| or |[sans-style=italic]|, respectively. And \texttt{[sans-style = literal]} causes \cs{mathbfsf} to retain the same italic or upright shape as the input, and turns it bold sans serif.
-
-N.B.: there is no medium-weight sans serif Greek range in Unicode.
-Therefore, |\symsf{\alpha}| does not make sense (it produces `$\symsf{\alpha}$'), while |\symbfsf{\alpha}| gives `$\symbfsfup{\alpha}$' or `$\symbfsfit{\alpha}$' according to the |sans-style|.
-
-\subsection{All (the rest) of the mathematical styles}
-\seclabel{all-math-alphabets}
-
-Unicode contains separate codepoints for most if not all variations of style
-shape one may wish to use in mathematical notation. The complete list is shown
-in \tabref{mathalphabets}. Some of these have been covered in the previous sections.
-
-The math font switching commands do not nest; therefore if you want
-sans serif bold, you must write |\symbfsf{...}| rather than |\symbf{\symsf{...}}|.
-This may change in the future.
-
-\begin{table}
-\caption{Mathematical styles defined in Unicode. Black dots indicate an style exists in the font specified; blue dots indicate shapes that should always be taken from the upright font even in the italic style. See main text for description of \cs{mathbbit}.}
-\tablabel{mathalphabets}
-\centering
-\def\Y{\textbullet}
-\def\M{\textcolor[rgb]{0.5,0.5,1}{\textbullet}}
-\begin{tabular}{@{} lll l ccc @{}}
-\toprule
-\multicolumn{3}{c}{Font} & & \multicolumn{3}{c}{Alphabet} \\
-\cmidrule(r){1-3}
-\cmidrule(l){5-7}
-Style & Shape & Series & Switch & Latin & Greek & Numerals \\
-\midrule
-Serif & Upright & Normal & \cs{mathup} & \Y & \Y & \Y \\
- & & Bold & \cs{mathbfup} & \Y & \Y & \Y \\
- & Italic & Normal & \cs{mathit} & \Y & \Y & \M \\
- & & Bold & \cs{mathbfit} & \Y & \Y & \M \\
-Sans serif & Upright & Normal & \cs{mathsfup} & \Y & & \Y \\
- & Italic & Normal & \cs{mathsfit} & \Y & & \M \\
- & Upright & Bold & \cs{mathbfsfup} & \Y & \Y & \Y \\
- & Italic & Bold & \cs{mathbfsfit} & \Y & \Y & \M \\
-Typewriter & Upright & Normal & \cs{mathtt} & \Y & & \Y \\
-Double-struck & Upright & Normal & \cs{mathbb} & \Y & & \Y \\
- & Italic & Normal & \cs{mathbbit} & \Y & & \\
-Script & Upright & Normal & \cs{mathscr} & \Y & & \\
- & & Bold & \cs{mathbfscr} & \Y & & \\
-Fraktur & Upright & Normal & \cs{mathfrak} & \Y & & \\
- & & Bold & \cs{mathbffrac} & \Y & & \\
-\bottomrule
-\end{tabular}
-\end{table}
-
-\subsubsection{Double-struck}
-
-The double-struck style (also known as `blackboard bold') consists of
-upright Latin letters $\{\symbb{a}$--$\symbb{z}$,$\symbb{A}$$\symbb{Z}\}$,
-numerals $\symbb{0}$--$\symbb{9}$, summation symbol $\symbb\sum$, and four
-Greek letters only: $\{\symbb{\gamma\pi\Gamma\Pi}\}$.
-
-While |\symbb{\sum}| does produce a double-struck summation symbol,
-its limits aren't properly aligned. Therefore,
-either the literal character or the control sequence \cs{Bbbsum} are
-recommended instead.
-
-There are also five Latin \emph{italic} double-struck letters: $\symbbit{Ddeij}$.
-These can be accessed (if not with their literal characters or control sequences)
-with the \cs{mathbbit} style switch, but note that only those five letters
-will give the expected output.
-
-\subsubsection{Caligraphic vs.\ Script variants}
-
-The Unicode maths encoding contains a style for `Script' letters,
-and while by default \cs{mathcal} and \cs{mathscr}
-are synonyms, there are some situations when a
-separate `Caligraphic' style is needed as well.
-
-If a font contains alternate glyphs for a separat caligraphic style,
-they can be selected explicitly as shown below.
-This feature is currently only supported by the XITS~Math font, where
-the caligraphic letters are accessed with the same glyph slots as the
-script letters but with the first stylistic set feature (|ss01|) applied.
-\begin{verbatim}
- \setmathfont{xits-math.otf}[range={cal,bfcal},StylisticSet=1]
-\end{verbatim}
-An example is shown below.
-\begin{quote}
-\setmathfont{xits-math.otf}[range=scr]
-\setmathfont{xits-math.otf}[range=cal,StylisticSet=1]
-The Script style (\cs{mathscr}) in XITS Math is: $\symscr{ABCXYZ}$\par
-The Caligraphic style (\cs{mathcal}) in XITS Math is: $\symcal{ABCXYZ}$
-\end{quote}
-
-
-\subsection{Miscellanea}
-
-\subsubsection{Nabla}
-\seclabel{nabla}
-
- The symbol $\nabla$ comes in the six forms shown in \tabref{nabla}.
- We want an individual option to specify whether we want upright or italic
- nabla by default (when either upright or italic nabla is used in the
- source). \TeX\ classically uses an upright nabla, and \textsc{iso}
- standards agree with this convention.
- The package options |nabla=upright| and
- |nabla=italic| switch between the two choices, and |nabla=literal| respects
- the shape of the input character. This is then inherited
- through \cmd\symbf; \cmd\symit\ and \cmd\symup\ can be used to force one
- way or the other.
-
-|nabla=italic| is the default. |nabla=literal| is
-activated automatically after |math-style=literal|.
-
-\begin{table}
- \begin{minipage}[b]{0.49\textwidth}
- \centering
- \topcaption{The various forms of nabla.}
- \tablabel{nabla}
- \let \tmpshow\empty
- \begin{tabular}{@{}llc@{}}
- \toprule
- \multicolumn{2}{@{}l}{Description} & Glyph
- \\ \cmidrule(r){1-2}\cmidrule(l){3-3}
- Upright & Serif & $\symup\nabla$ \\
- & Bold serif & $\symbfup\nabla$ \\
- & Bold sans & $\symbfsfup\nabla$ \\
- \cmidrule(lr){1-2}\cmidrule(lr){3-3}
- Italic & Serif & $\symit\nabla$ \\
- & Bold serif & $\symbfit\nabla$ \\
- & Bold sans & $\symbfsfit\nabla$ \\
- \bottomrule
- \end{tabular}
- \end{minipage}\hfill
- \begin{minipage}[b]{0.49\textwidth}
- \centering
- \topcaption{The partial differential.}
- \tablabel{partial}
- \begin{tabular}{@{}llc@{}}
- \toprule
- \multicolumn{2}{@{}l}{Description} & Glyph
- \\ \cmidrule(r){1-2}\cmidrule(l){3-3}
- Regular & Upright & $\symup\partial$ \\
- & Italic & $\symit\partial$ \\
- Bold & Upright & $\symbfup\partial$ \\
- & Italic & $\symbfit\partial$ \\
- Sans bold & Upright & $\symbfsfup\partial$ \\
- & Italic & $\symbfsfit\partial$ \\
- \bottomrule
- \end{tabular}
- \end{minipage}
-\end{table}
-
-
-\subsubsection{Partial}
-\seclabel{partial}
-
-The same applies to the symbols \unichar{2202} partial differential and
-\unichar{1D715} math italic partial differential.
-
-At time of writing, both the Cambria Math and STIX fonts display these
-two glyphs in the same italic style, but this is hopefully a bug that will
-be corrected in the future~--- the `plain' partial differential should
-really have an upright shape.
-
-Use the |partial=upright| or |partial=italic| package options to specify
-which one you would like, or |partial=literal| to have the same character
-used in the output as was used for the input.
-The default is (always, unless someone requests and
-argues otherwise) |partial=italic|.\footnote{A good argument would revolve
-around some international standards body recommending upright over italic.
-I just don't have the time right now to look it up.} |partial=literal|
-is activated following |math-style=literal|.
-
-See \tabref{partial} for the variations on the partial differential symbol.
-
-
-\subsubsection{Primes}
-
-Primes ($x'$) may be input in several ways. You may use any combination
-the \ascii\ straight quote (\texttt{\char`\'}) or the Unicode prime \unichar{2032}
-($'$); when multiple primes occur next to each other, they chain
-together to form double, triple, or quadruple primes if the font contains
-pre-drawn glyphs. The individual prime glyphs are accessed, as usual,
-with the \cs{prime} command, and the double-, triple-, and quadruple-prime
-glyphs are available with \cs{dprime}, \cs{trprime}, and \cs{qprime},
-respectively.
-
-If the font does not contain the pre-drawn glyphs or more than four primes
-are used, the single prime glyph is used multiple times with a negative
-kern to get the spacing right. There is no user interface to adjust this
-negative kern yet (because I haven't decided what it should look like);
-if you need to, write something like this:
-\begin{Verbatim}
-\ExplSyntaxOn
-\muskip_gset:Nn \g_@@_primekern_muskip { -\thinmuskip/2 }
-\ExplySyntaxOff
-\end{Verbatim}
-Backwards or reverse primes behave in exactly the same way; use the \ascii\
-back tick (\texttt{\char`\`}) or the Unicode reverse prime \unichar{2035}
-({\umfont\char"2035}).
-The command to access the backprime is \cs{backprime}, and
-multiple backwards primes can accessed with \cs{backdprime},
-\cs{backtrprime}, and \cs{backqprime}.
-
-In all cases above, no error checking is performed if you attempt to
-access a multi-prime glyph in a font that doesn't contain one. For this
-reason, it may be safer to write |x''''| instead of |x\qprime|
-in general.
-
-If you ever need to enter the straight quote |'| or the backtick |`| in
-maths mode, these glyphs can be accessed with \cs{mathstraightquote} and
-\cs{mathbacktick}.
-
-\subsubsection{Unicode subscripts and superscripts}
-
-You may, if you wish, use Unicode subscripts and superscripts in your
-source document. For basic expressions, the use of these characters
-can make the input more readable.
-Adjacent sub- or super-scripts will be concatenated into a single
-expression.
-
-The range of subscripts and superscripts supported by this package
-are shown in \figref{superscripts,subscripts}. Please request more if
-you think it is appropriate.
-
-\begin{figure}\centering
-\fbox{\fontspec{CharisSILR.ttf}\Large
-A
-^^^^2070 ^^^^00b9 ^^^^00b2 ^^^^00b3 ^^^^2074 ^^^^2075 ^^^^2076 ^^^^2077
-^^^^2078 ^^^^2079 ^^^^207a ^^^^207b ^^^^207c ^^^^207d ^^^^207e ^^^^2071
-^^^^207f ^^^^207f ^^^^02b0 ^^^^02b2 ^^^^02b3 ^^^^02b7 ^^^^02b8
-Z}
-\caption{
- The Unicode superscripts supported as input characters.
- These are the literal glyphs from Charis SIL,
- not the output seen when used for maths input.
- The `A' and `Z' are to provide context for the size and
- location of the superscript glyphs.
-}
-\figlabel{superscripts}
-\end{figure}
-
-\begin{figure}\centering
-\fbox{\fontspec{CharisSILR.ttf}\Large
-A
-^^^^2080 ^^^^2081 ^^^^2082 ^^^^2083 ^^^^2084 ^^^^2085 ^^^^2086 ^^^^2087
-^^^^2088 ^^^^2089 ^^^^208a ^^^^208b ^^^^208c ^^^^208d ^^^^208e ^^^^2090
-^^^^2091 ^^^^1d62 ^^^^2092 ^^^^1d63 ^^^^1d64 ^^^^1d65 ^^^^2093 ^^^^1d66
-^^^^1d67 ^^^^1d68 ^^^^1d69 ^^^^1d6a
-Z}
-\caption{
- The Unicode subscripts supported as input characters.
- See note from \figref{superscripts}.
-}
-\figlabel{subscripts}
-\end{figure}
-
-\subsubsection{Colon}
-\seclabel{colon}
-
-The colon is one of the few confusing characters of Unicode maths.
-In \TeX, \texttt{:} is defined as a colon with relation spacing: `$a:b$'.
-While \cs{colon} is defined as a colon with punctuation spacing: `$a\colon b$'.
-
-In Unicode, \unichar{003A} {colon} is defined as a punctuation symbol,
-while \unichar{2236} {ratio} is the colon-like symbol used in mathematics to denote
-ratios and other things.
-
-This breaks the usual straightforward mapping from control sequence to Unicode input character
-to (the same) Unicode glyph.
-
-To preserve input compatibility, we remap the \ascii\ input character `\texttt{:}' to \unichar{2236}.
-Typing a literal \unichar{2236} char will result in the same output.
-If \pkg{amsmath} is loaded, then the definition of \cs{colon} is inherited from there
-(it looks like a punctuation colon with additional space around it).
-Otherwise, \cs{colon} is made to output a colon with \cs{mathpunct} spacing.
-
-The package option |colon=literal| forces \ascii\ input `|:|' to be printed as \cs{mathcolon} instead.
-
-
-\subsubsection{Slashes and backslashes}
-\seclabel{slash-delimiter}
-
-There are several slash-like symbols defined in Unicode. The complete list is shown in \tabref{slashes}.
-
-\begin{table}\centering
-\caption{Slashes and backslashes.}
-\tablabel{slashes}
-\begin{tabular}{@{}cl@{}cl@{}}
-\toprule
-Slot & Name & Glyph & Command \\
-\midrule
-\unichar{002F} & \textsc{solidus} & \umfont \char"002F & \cs{slash} \\
-\unichar{2044} & \textsc{fraction slash} & \umfont \char"2044 & \cs{fracslash} \\
-\unichar{2215} & \textsc{division slash} & \umfont \char"2215 & \cs{divslash} \\
-\unichar{29F8} & \textsc{big solidus} & \umfont \char"29F8 & \cs{xsol} \\
-\midrule
-\unichar{005C} & \textsc{reverse solidus} & \umfont \char"005C & \cs{backslash} \\
-\unichar{2216} & \textsc{set minus} & \umfont \char"2216 & \cs{smallsetminus} \\
-\unichar{29F5} & \textsc{reverse solidus operator}& \umfont \char"29F5 & \cs{setminus} \\
-\unichar{29F9} & \textsc{big reverse solidus} & \umfont \char"29F9 & \cs{xbsol} \\
-\bottomrule
-\end{tabular}
-\end{table}
-
-In regular \LaTeX\ we can write \cs{left}\cs{slash}\dots\cs{right}\cs{backslash}
-and so on and obtain extensible delimiter-like symbols. Not all of the Unicode slashes
-are suitable for this (and do not have the font support to do it).
-
-\paragraph{Slash}
-
-Of \unichar{2044} {fraction slash}, TR25 says that it is:
-\begin{quote}
-\dots used to build up simple fractions in running text\dots
-however parsers of mathematical texts should be prepared to handle fraction slash
-when it is received from other sources.
-\end{quote}
-
-\unichar{2215} {division slash} should be used when division is represented
-without a built-up fraction; $\pi\approx22/7$, for example.
-
-\unichar{29F8} {big solidus} is a `big operator' (like $\sum$).
-
-\paragraph{Backslash}
-
-The \unichar{005C} {reverse solidus} character \cs{backslash} is used for denoting
-double cosets: $A\backslash B$. (So I'm led to believe.)
-It may be used as a `stretchy' delimiter if supported by the font.
-
-MathML uses \unichar{2216} {set minus} like this: $A\smallsetminus B$.\footnote{\S4.4.5.11 \url{http://www.w3.org/TR/MathML3/}}
-The \LaTeX\ command name \cs{smallsetminus} is used for backwards compatibility.
-
-Presumably, \unichar{29F5} {reverse solidus operator} is intended to
-be used in a similar way, but it could also (perhaps?) be used to
-represent `inverse division': $\pi\approx7\mathbin{\backslash}22$.^^A
-\footnote{This is valid syntax in the Octave and Matlab programming languages,
-in which it means matrix inverse pre-multiplication. I.e., $A\mathbin{\backslash} B\equiv A^{-1}B$.}
-The \LaTeX\ name for this character is \cs{setminus}.
-
-Finally, \unichar{29F9} {big reverse solidus} is a `big operator' (like $\sum$).
-
-\paragraph{How to use all of these things}
-
-Unfortunately, font support for the above characters/glyphs is rather inconsistent.
-In Cambria Math, the only slash that grows (say when writing
-\[
-\left.\left[\begin{array}{cc} a & b \\ c & d\end{array}\right]\middle\slash
- \left[\begin{array}{cc} 1 & 1 \\ 1 & 0\end{array}\right] \right.\quad )
-\]
-is the \textsc{fraction slash}, which we just established above is
-sort of only supposed to be used in text.
-
-Of the above characters, the following are allowed to be used after
-\cs{left}, \cs{middle}, and \cs{right}:
-\begin{itemize}
-\item \cs{fracslash};
-\item \cs{slash}; and,
-\item \cs{backslash} (the only reverse slash).
-\end{itemize}
-
-However, we assume that there is only \emph{one} stretchy slash
-in the font; this is assumed by default to be \unichar{002F} {solidus}.
-Writing \cs{left/} or \cs{left}\cs{slash} or \cs{left}\cs{fracslash}
-will all result in the same stretchy delimiter being used.
-
-The delimiter used can be changed with the |slash-delimiter| package option.
-Allowed values are |ascii|, |frac|, and |div|, corresponding to the respective
-Unicode slots.
-
-For example: as mentioned above, Cambria Math's stretchy slash is
-\unichar{2044} {fraction slash}. When using Cambria Math, then
-\pkg{unicode-math} should be loaded with the |slash-delimiter=frac| option.
-(This should be a font option rather than a package option, but
-it will change soon.)
-
-
-\subsubsection{Growing and non-growing accents}
-\seclabel{growing-accents}
-
-There are a few accents for which \TeX\ has both non-growing and growing
-versions. Among these are \cs{hat} and \cs{tilde}; the corresponding growing
-versions are called \cs{widehat} and \cs{widetilde}, respectively.
-
-Older versions of \XeTeX\ and \LuaTeX\ did not support this distinction,
-however, and \emph{all} accents there were growing automatically. (I.e.,
-\cs{hat} and \cs{widehat} are equivalent.) As of \LuaTeX\ v0.65 and \XeTeX\
-v0.9998, these wide/non-wide commands will again behave in their expected
-manner.
-
-
-\subsubsection{Pre-drawn fraction characters}
-
-Pre-drawn fractions \unichar{00BC}--\unichar{00BE}, \unichar{2150}--\unichar{215E}
-are not suitable for use in mathematics output. However, they can be useful
-as input characters to abbreviate common fractions.
-\begin{center}
-\fontspec{DejaVuSerif.ttf} ^^A available in TeX Live 2012 if not earlier
-¼ ½ ¾ ↉ ⅐ ⅑ ⅒ ⅓ ⅔ ⅕ ⅖ ⅗ ⅘ ⅙ ⅚ ⅛ ⅜ ⅝ ⅞
-\end{center}
-For example, instead of writing `|\tfrac12 x|', you may consider it more readable to have
-`|½x|' in the source instead.
-
-If the \cs{tfrac} command exists (i.e., if \pkg{amsmath} is loaded or
-you have specially defined \cs{tfrac} for this purpose), it will be used
-to typeset the fractions. If not, regular \cs{frac} will be used. The command
-to use (\cs{tfrac} or \cs{frac}) can be forced either way with the package
-option |active-frac=small| or |active-frac=normalsize|, respectively.
-
-\subsubsection{Circles}
-
-Unicode defines a large number of different types of circles for a variety
-of mathematical purposes. There are thirteen alone just considering the
-all white and all black ones, shown in \tabref{circles}.
-
-\LaTeX\ defines considerably fewer: \cs{circ} and \cs{bigcirc} for white;
-\cs{bullet} for black. This package maps those commands to \cs{vysmwhtcircle},
-\cs{mdlgwhtcircle}, and \cs{smblkcircle}, respectively.
-
-\begin{table}\centering
-\def\showchar#1#2#3{ \textsc{u}+{\small\ttfamily #1} & \texttt{\string#3} & \umfont \char"#1 \\}
-\begin{tabular}{@{}llc@{}}
-\toprule
-Slot & Command & Glyph \\
-\midrule
-\showchar{00B7}{centerdot}{\cdotp}
-\showchar{22C5}{small middle dot}{\cdot}
-\showchar{2219}{bullet operator}{\vysmblkcircle}
-\showchar{2022}{round bullet, filled}{\smblkcircle}
-\showchar{2981}{z notation spot}{\mdsmblkcircle}
-\showchar{26AB}{medium black circle}{\mdblkcircle}
-\showchar{25CF}{circle, filled}{\mdlgblkcircle}
-\showchar{2B24}{black large circle}{\lgblkcircle}
-\bottomrule
-\end{tabular}
-\def\showchar#1#2#3{ \umfont \char"#1 & \texttt{\string#3} & \textsc{u}+{\small\ttfamily #1} \\}
-\begin{tabular}{@{}cll@{}}
-\toprule
-Glyph & Command & Slot \\
-\midrule
-\\
-\\
-\showchar{2218}{composite function (small circle)}{\vysmwhtcircle}
-\showchar{25E6}{white bullet}{\smwhtcircle}
-\showchar{26AC}{medium small white circle}{\mdsmwhtcircle}
-\showchar{26AA}{medium white circle}{\mdwhtcircle}
-\showchar{25CB}{large circle}{\mdlgwhtcircle}
-\showchar{25EF}{large circle}{\lgwhtcircle}
-\bottomrule
-\end{tabular}
-\caption{Filled and hollow Unicode circles.}
-\tablabel{circles}
-\end{table}
-
-\subsubsection{Triangles}
-
-While there aren't as many different sizes of triangle as there are circle,
-there's some important distinctions to make between a few similar characters. See \tabref{uptriangles} for the full summary.
-
-These triangles all have different intended meanings. Note for backwards
-compatibility with \TeX, \unichar{25B3} has \emph{two} different mappings
-in \pkg{unicode-math}. \cs{bigtriangleup} is intended as a binary operator
-whereas \cs{triangle} is intended to be used as a letter-like symbol.
-
-But you're better off if you're using the latter form to indicate an
-increment to use the glyph intended for this purpose, \unichar{2206}: $\increment x$.
-
-Finally, given that $\triangle$ and $\increment$ are provided for you
-already, it is better off to only use upright Greek Delta $\Delta$ if you're
-actually using it as a symbolic entity such as a variable on its own.
-
-\begin{table}\centering
-\begin{tabular}{@{}llcl@{}}
-\toprule
-Slot & Command & Glyph & Class \\
-\midrule
-\unichar{25B5} & \cs{vartriangle} & \umfont \char"25B5 & binary \\
-\unichar{25B3} & \cs{bigtriangleup} & \umfont \char"25B3 & binary \\
-\unichar{25B3} & \cs{triangle} & \umfont \char"25B3 & ordinary \\
-\unichar{2206} & \cs{increment} & \umfont \char"2206 & ordinary \\
-\unichar{0394} & \cs{mathup}\cs{Delta} & \umfont \char"0394 & ordinary \\
-\bottomrule
-\end{tabular}
-\caption{Different upwards pointing triangles.}
-\tablabel{uptriangles}
-\end{table}
-
-\iffalse
-\subsubsection{Normalising some input characters}
-
-I believe
-all variant forms should be used as legal input that is normalised to
-a consistent output glyph, because we want to be fault-tolerant in the input.
-Here are the duplicates:
-\begin{quote}\obeylines
-\unichar {251} {latin small letter alpha}
-\unichar {25B} {latin small letter epsilon}
-\unichar {263} {latin small letter gamma}
-\unichar {269} {latin small letter iota}
-\unichar {278} {latin small letter phi}
-\unichar {28A} {latin small letter upsilon}
-\unichar {190} {latin capital letter epsilon}
-\unichar {194} {latin capital letter gamma}
-\unichar {196} {latin capital letter iota}
-\unichar {1B1} {latin capital letter upsilon}
-\end{quote}
-
-(Not yet implemented.)
-\fi
-
-\section{Advanced}
-
-\subsection{Warning messages}
-
-This package can produce a number of informational messages to try and inform the user when something might be going wrong due to package conflicts or something else.
-As an experimental feature, these can be turn off on an individual basis with the package option |warnings-off| which takes a comma-separated list of warnings to suppress.
-A warning will give you its name when printed on the console output; e.g.,
-\begin{Verbatim}
- * unicode-math warning: "mathtools-colon"
- *
- * ... <warning message> ...
-\end{Verbatim}
-This warning could be suppressed by loading the package as follows:
-\begin{Verbatim}
- \usepackage[warnings-off={mathtools-colon}]{unicode-math}
-\end{Verbatim}
-
-\subsection{Programmer's interface}
-
-(Tentative and under construction.)
-If you are writing some code that needs to know the current
-maths style (\cs{mathbf}, \cs{mathit}, etc.), you can query the
-variable \cs{l_@@_mathstyle_tl}. It will contain the maths style
-without the leading `math' string; for example,
-|\symbf { \show \l_@@_mathstyle_tl }|
-will produce `bf'.
-
-\StopEventually{\end{document}}
-
-\clearpage
-\appendix
-
-\section{\STIX\ table data extraction}\label{part:awk}
-
-The source for the \TeX\ names for the very large number of mathematical
-glyphs are provided via Barbara Beeton's table file for the \STIX\ project
-(|ams.org/STIX|). A version is located at
-|http://www.ams.org/STIX/bnb/stix-tbl.asc|
-but check |http://www.ams.org/STIX/| for more up-to-date info.
-
-This table is converted into a form suitable for reading by \TeX.
-A single file is produced containing all (more than 3298) symbols.
-Future optimisations might include generating various (possibly overlapping) subsets
-so not all definitions must be read just to redefine a small range of symbols.
-Performance for now seems to be acceptable without such measures.
-
-This file is currently developed outside this DTX file. It will be
-incorporated when the final version is ready. (I know this is not how
-things are supposed to work!)
-
-
-\section{Documenting maths support in the NFSS}
-
-In the following, \meta{NFSS decl.} stands for something like |{T1}{lmr}{m}{n}|.
-
-\begin{description}
-\item[Maths symbol fonts] Fonts for symbols: $\propto$, $\leq$, $\rightarrow$
-
-\cmd\DeclareSymbolFont\marg{name}\meta{NFSS decl.}\\
-Declares a named maths font such as |operators| from which symbols are defined with \cmd\DeclareMathSymbol.
-
-\item[Maths alphabet fonts] Fonts for {\font\1=cmmi10 at 10pt\1 ABC}\,–\,{\font\1=cmmi10 at 10pt\1 xyz}, {\font\1=eufm10 at 10pt\1 ABC}\,–\,{\font\1=cmsy10 at 10pt\1 XYZ}, etc.
-
-\cmd\DeclareMathAlphabet\marg{cmd}\meta{NFSS decl.}
-
-For commands such as \cmd\mathbf, accessed
-through maths mode that are unaffected by the current text font, and which are used for
-alphabetic symbols in the \ascii\ range.
-
-\cmd\DeclareSymbolFontAlphabet\marg{cmd}\marg{name}
-
-Alternative (and optimisation) for \cmd\DeclareMathAlphabet\ if a single font is being used
-for both alphabetic characters (as above) and symbols.
-
-\item[Maths `versions'] Different maths weights can be defined with the following, switched
-in text with the \cmd\mathversion\marg{maths version} command.
-
-\cmd\SetSymbolFont\marg{name}\marg{maths version}\meta{NFSS decl.}\\
-\cmd\SetMathAlphabet\marg{cmd}\marg{maths version}\meta{NFSS decl.}
-
-\item[Maths symbols] Symbol definitions in maths for both characters (=) and macros (\cmd\eqdef):
-\cmd\DeclareMathSymbol\marg{symbol}\marg{type}\marg{named font}\marg{slot}
-This is the macro that actually defines which font each symbol comes from and how they behave.
-\end{description}
-Delimiters and radicals use wrappers around \TeX's \cmd\delimiter/\cmd\radical\ primitives,
-which are re-designed in \XeTeX. The syntax used in \LaTeX's NFSS is therefore not so relevant here.
-\begin{description}
-\item[Delimiters] A special class of maths symbol which enlarge themselves in certain contexts.
-
-\cmd\DeclareMathDelimiter\marg{symbol}\marg{type}\marg{sym.\ font}\marg{slot}\marg{sym.\ font}\marg{slot}
-
-\item[Radicals] Similar to delimiters (\cmd\DeclareMathRadical\ takes the same syntax) but
-behave `weirdly'.
-\end{description}
-In those cases, glyph slots in \emph{two} symbol fonts are required; one for the small (`regular') case,
-the other for situations when the glyph is larger. This is not the case in \XeTeX.
-
-Accents are not included yet.
-
-\paragraph{Summary}
-
-For symbols, something like:
-\begin{Verbatim}
-\def\DeclareMathSymbol#1#2#3#4{
- \global\mathchardef#1"\mathchar@type#2
- \expandafter\hexnumber@\csname sym#2\endcsname
- {\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}}
-\end{Verbatim}
-For characters, something like:
-\begin{Verbatim}
-\def\DeclareMathSymbol#1#2#3#4{
- \global\mathcode`#1"\mathchar@type#2
- \expandafter\hexnumber@\csname sym#2\endcsname
- {\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}}
-\end{Verbatim}
-
-\section{Legacy \TeX\ font dimensions}
-
-\centerline{%
-\begin{tabular}[t]{@{}lp{4cm}@{}}
-\toprule
-\multicolumn{2}{@{}c@{}}{Text fonts} \\
-\midrule
-$\phi_1$ & slant per pt \\
-$\phi_2$ & interword space \\
-$\phi_3$ & interword stretch \\
-$\phi_4$ & interword shrink \\
-$\phi_5$ & x-height \\
-$\phi_6$ & quad width \\
-$\phi_7$ & extra space \\
-$\phi_8$ & cap height (\XeTeX\ only) \\
-\bottomrule
-\end{tabular}
-\quad
-\begin{tabular}[t]{@{}lp{4cm}@{}}
-\toprule
-\multicolumn{2}{@{}c@{}}{Maths font, \cs{fam}2} \\
-\midrule
-$\sigma_5$ & x height \\
-$\sigma_6$ & quad \\
-$\sigma_8$ & num1 \\
-$\sigma_9$ & num2 \\
-$\sigma_{10}$ & num3 \\
-$\sigma_{11}$ & denom1 \\
-$\sigma_{12}$ & denom2 \\
-$\sigma_{13}$ & sup1 \\
-$\sigma_{14}$ & sup2 \\
-$\sigma_{15}$ & sup3 \\
-$\sigma_{16}$ & sub1 \\
-$\sigma_{17}$ & sub2 \\
-$\sigma_{18}$ & sup drop \\
-$\sigma_{19}$ & sub drop \\
-$\sigma_{20}$ & delim1 \\
-$\sigma_{21}$ & delim2 \\
-$\sigma_{22}$ & axis height \\
-\bottomrule
-\end{tabular}
-\quad
-\begin{tabular}[t]{@{}lp{4cm}@{}}
-\toprule
-\multicolumn{2}{@{}c@{}}{Maths font, \cs{fam}3} \\
-\midrule
-$\xi_8$ & default rule thickness \\
-$\xi_9$ & big op spacing1 \\
-$\xi_{10}$ & big op spacing2 \\
-$\xi_{11}$ & big op spacing3 \\
-$\xi_{12}$ & big op spacing4 \\
-$\xi_{13}$ & big op spacing5 \\
-\bottomrule
-\end{tabular}
-}
-
-
-\section{\Hologo{XeTeX} math font dimensions}
-
-These are the extended \cmd\fontdimen s available for suitable fonts
-in \XeTeX. Note that Lua\TeX\ takes an alternative route, and this package
-will eventually provide a wrapper interface to the two (I hope).
-
-\newcounter{mfdimen}
-\setcounter{mfdimen}{9}
-\newcommand\mathfontdimen[2]{^^A
- \stepcounter{mfdimen}^^A
- \themfdimen & {\scshape\small #1} & #2\vspace{0.5ex} \tabularnewline}
-
-\begin{longtable}{
- @{}c>{\raggedright\parfillskip=0pt}p{4cm}>{\raggedright}p{7cm}@{}}
-\toprule \cmd\fontdimen & Dimension name & Description\tabularnewline\midrule \endhead
-\bottomrule\endfoot
-\mathfontdimen{Script\-Percent\-Scale\-Down}
-{Percentage of scaling down for script level 1. Suggested value: 80\%.}
-\mathfontdimen{Script\-Script\-Percent\-Scale\-Down}
-{Percentage of scaling down for script level 2 (Script\-Script). Suggested value: 60\%.}
-\mathfontdimen{Delimited\-Sub\-Formula\-Min\-Height}
-{Minimum height required for a delimited expression to be treated as a subformula. Suggested value: normal line height\,×\,1.5.}
-\mathfontdimen{Display\-Operator\-Min\-Height}
-{Minimum height of n-ary operators (such as integral and summation) for formulas in display mode.}
-\mathfontdimen{Math\-Leading}
-{White space to be left between math formulas to ensure proper line spacing. For example, for applications that treat line gap as a part of line ascender, formulas with ink going above (os2.sTypoAscender + os2.sTypoLineGap – MathLeading) or with ink going below os2.sTypoDescender will result in increasing line height.}
-\mathfontdimen{Axis\-Height}
-{Axis height of the font. }
-\mathfontdimen{Accent\-Base\-Height}
-{Maximum (ink) height of accent base that does not require raising the accents. Suggested: x-height of the font (os2.sxHeight) plus any possible overshots. }
-\mathfontdimen{Flattened\-Accent\-Base\-Height}
-{Maximum (ink) height of accent base that does not require flattening the accents. Suggested: cap height of the font (os2.sCapHeight).}
-\mathfontdimen{Subscript\-Shift\-Down}
-{The standard shift down applied to subscript elements. Positive for moving in the downward direction. Suggested: os2.ySubscriptYOffset.}
-\mathfontdimen{Subscript\-Top\-Max}
-{Maximum allowed height of the (ink) top of subscripts that does not require moving subscripts further down. Suggested: /5 x-height.}
-\mathfontdimen{Subscript\-Baseline\-Drop\-Min}
-{Minimum allowed drop of the baseline of subscripts relative to the (ink) bottom of the base. Checked for bases that are treated as a box or extended shape. Positive for subscript baseline dropped below the base bottom.}
-\mathfontdimen{Superscript\-Shift\-Up}
-{Standard shift up applied to superscript elements. Suggested: os2.ySuperscriptYOffset.}
-\mathfontdimen{Superscript\-Shift\-Up\-Cramped}
-{Standard shift of superscripts relative to the base, in cramped style.}
-\mathfontdimen{Superscript\-Bottom\-Min}
-{Minimum allowed height of the (ink) bottom of superscripts that does not require moving subscripts further up. Suggested: ¼ x-height.}
-\mathfontdimen{Superscript\-Baseline\-Drop\-Max}
-{Maximum allowed drop of the baseline of superscripts relative to the (ink) top of the base. Checked for bases that are treated as a box or extended shape. Positive for superscript baseline below the base top.}
-\mathfontdimen{Sub\-Superscript\-Gap\-Min}
-{Minimum gap between the superscript and subscript ink. Suggested: 4×default rule thickness.}
-\mathfontdimen{Superscript\-Bottom\-Max\-With\-Subscript}
-{The maximum level to which the (ink) bottom of superscript can be pushed to increase the gap between superscript and subscript, before subscript starts being moved down.
-Suggested: /5 x-height.}
-\mathfontdimen{Space\-After\-Script}
-{Extra white space to be added after each subscript and superscript. Suggested: 0.5pt for a 12 pt font.}
-\mathfontdimen{Upper\-Limit\-Gap\-Min}
-{Minimum gap between the (ink) bottom of the upper limit, and the (ink) top of the base operator. }
-\mathfontdimen{Upper\-Limit\-Baseline\-Rise\-Min}
-{Minimum distance between baseline of upper limit and (ink) top of the base operator.}
-\mathfontdimen{Lower\-Limit\-Gap\-Min}
-{Minimum gap between (ink) top of the lower limit, and (ink) bottom of the base operator.}
-\mathfontdimen{Lower\-Limit\-Baseline\-Drop\-Min}
-{Minimum distance between baseline of the lower limit and (ink) bottom of the base operator.}
-\mathfontdimen{Stack\-Top\-Shift\-Up}
-{Standard shift up applied to the top element of a stack.}
-\mathfontdimen{Stack\-Top\-Display\-Style\-Shift\-Up}
-{Standard shift up applied to the top element of a stack in display style.}
-\mathfontdimen{Stack\-Bottom\-Shift\-Down}
-{Standard shift down applied to the bottom element of a stack. Positive for moving in the downward direction.}
-\mathfontdimen{Stack\-Bottom\-Display\-Style\-Shift\-Down}
-{Standard shift down applied to the bottom element of a stack in display style. Positive for moving in the downward direction.}
-\mathfontdimen{Stack\-Gap\-Min}
-{Minimum gap between (ink) bottom of the top element of a stack, and the (ink) top of the bottom element. Suggested: 3×default rule thickness.}
-\mathfontdimen{Stack\-Display\-Style\-Gap\-Min}
-{Minimum gap between (ink) bottom of the top element of a stack, and the (ink) top of the bottom element in display style. Suggested: 7×default rule thickness.}
-\mathfontdimen{Stretch\-Stack\-Top\-Shift\-Up}
-{Standard shift up applied to the top element of the stretch stack.}
-\mathfontdimen{Stretch\-Stack\-Bottom\-Shift\-Down}
-{Standard shift down applied to the bottom element of the stretch stack. Positive for moving in the downward direction.}
-\mathfontdimen{Stretch\-Stack\-Gap\-Above\-Min}
-{Minimum gap between the ink of the stretched element, and the (ink) bottom of the element above. Suggested: Upper\-Limit\-Gap\-Min}
-\mathfontdimen{Stretch\-Stack\-Gap\-Below\-Min}
-{Minimum gap between the ink of the stretched element, and the (ink) top of the element below. Suggested: Lower\-Limit\-Gap\-Min.}
-\mathfontdimen{Fraction\-Numerator\-Shift\-Up}
-{Standard shift up applied to the numerator. }
-\mathfontdimen{Fraction\-Numerator\-Display\-Style\-Shift\-Up}
-{Standard shift up applied to the numerator in display style. Suggested: Stack\-Top\-Display\-Style\-Shift\-Up.}
-\mathfontdimen{Fraction\-Denominator\-Shift\-Down}
-{Standard shift down applied to the denominator. Positive for moving in the downward direction.}
-\mathfontdimen{Fraction\-Denominator\-Display\-Style\-Shift\-Down}
-{Standard shift down applied to the denominator in display style. Positive for moving in the downward direction. Suggested: Stack\-Bottom\-Display\-Style\-Shift\-Down.}
-\mathfontdimen{Fraction\-Numerator\-Gap\-Min}
-{Minimum tolerated gap between the (ink) bottom of the numerator and the ink of the fraction bar. Suggested: default rule thickness}
-\mathfontdimen{Fraction\-Num\-Display\-Style\-Gap\-Min}
-{Minimum tolerated gap between the (ink) bottom of the numerator and the ink of the fraction bar in display style. Suggested: 3×default rule thickness.}
-\mathfontdimen{Fraction\-Rule\-Thickness}
-{Thickness of the fraction bar. Suggested: default rule thickness.}
-\mathfontdimen{Fraction\-Denominator\-Gap\-Min}
-{Minimum tolerated gap between the (ink) top of the denominator and the ink of the fraction bar. Suggested: default rule thickness}
-\mathfontdimen{Fraction\-Denom\-Display\-Style\-Gap\-Min}
-{Minimum tolerated gap between the (ink) top of the denominator and the ink of the fraction bar in display style. Suggested: 3×default rule thickness.}
-\mathfontdimen{Skewed\-Fraction\-Horizontal\-Gap}
-{Horizontal distance between the top and bottom elements of a skewed fraction.}
-\mathfontdimen{Skewed\-Fraction\-Vertical\-Gap}
-{Vertical distance between the ink of the top and bottom elements of a skewed fraction.}
-\mathfontdimen{Overbar\-Vertical\-Gap}
-{Distance between the overbar and the (ink) top of he base. Suggested: 3×default rule thickness.}
-\mathfontdimen{Overbar\-Rule\-Thickness}
-{Thickness of overbar. Suggested: default rule thickness.}
-\mathfontdimen{Overbar\-Extra\-Ascender}
-{Extra white space reserved above the overbar. Suggested: default rule thickness.}
-\mathfontdimen{Underbar\-Vertical\-Gap}
-{Distance between underbar and (ink) bottom of the base. Suggested: 3×default rule thickness.}
-\mathfontdimen{Underbar\-Rule\-Thickness}
-{Thickness of underbar. Suggested: default rule thickness.}
-\mathfontdimen{Underbar\-Extra\-Descender}
-{Extra white space reserved below the underbar. Always positive. Suggested: default rule thickness.}
-\mathfontdimen{Radical\-Vertical\-Gap}
-{Space between the (ink) top of the expression and the bar over it. Suggested: 1¼ default rule thickness.}
-\mathfontdimen{Radical\-Display\-Style\-Vertical\-Gap}
-{Space between the (ink) top of the expression and the bar over it. Suggested: default rule thickness + ¼ x-height. }
-\mathfontdimen{Radical\-Rule\-Thickness}
-{Thickness of the radical rule. This is the thickness of the rule in designed or constructed radical signs. Suggested: default rule thickness.}
-\mathfontdimen{Radical\-Extra\-Ascender}
-{Extra white space reserved above the radical. Suggested: Radical\-Rule\-Thickness.}
-\mathfontdimen{Radical\-Kern\-Before\-Degree}
-{Extra horizontal kern before the degree of a radical, if such is present. Suggested: 5/18 of em.}
-\mathfontdimen{Radical\-Kern\-After\-Degree}
-{Negative kern after the degree of a radical, if such is present. Suggested: −10/18 of em.}
-\mathfontdimen{Radical\-Degree\-Bottom\-Raise\-Percent}
-{Height of the bottom of the radical degree, if such is present, in proportion to the ascender of the radical sign. Suggested: 60\%.}
-\end{longtable}
-
-\def\DTX#1{\gdef\DTXCURR{#1}\DocInput{#1}}
-\DTXFILES
-
-\end{document}
-
-
-