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+% $Id: faq-symbols.tex,v 1.2 2009/06/30 18:44:15 rf10 Exp $
+
+\section{Symbols, etc.}
+
+\Question[Q-usesymb]{Using symbols}
+
+Most symbol font sets come with a package that defines commands for
+every symbol in the font. While this is convenient, it can lead to
+difficulties, particularly with name clashes when you load packages
+that cover fonts which duplicate symbols~--- an issue which is
+discussed in
+\begin{narrowversion}
+ \Qref[question]{}{Q-alreadydef}.
+\end{narrowversion}
+\begin{wideversion}
+ ``\Qref{symbol already defined}{Q-alreadydef}''.
+\end{wideversion}
+Some font sets (for example, \FontName{MnSymbol}) are huge, and the
+accompanying macros cover so many symbols that name clashes are surely
+a serious problem.
+
+The \Package{pifont} package (originally designed to use the Adobe
+\FontName{Zapf Dingbats} font) avoids this sort of problem: it requires
+you to know the font position of any symbol you want to use (the
+documentation provides font tables). The basic command is
+\cmdinvoke*{ding}{number} for a single symbol; there are commands for
+other fancier uses. \Package{Pifont} also allows you to select other
+fonts, for similar use.
+
+The \Package{yagusylo} describes itself as ``an extended version of
+\Package{pifont}, gone technicolor''. It provides all the facilities
+of \Package{pifont}, but allows you to create your own mnemonic names
+for symbols. Thus, while you can say % ! line break
+\cmdinvoke*{yagding}[family]{symbol number}[colour], you can also
+define symbol names with \csx{defdingname}, and then use them
+with \cmdinvoke*{yagding*}{symbol name} (the defined name carries the
+font family and colour specified in the arguments of
+\csx{defdingname}).
+
+\Package{Yagusylo} is somewhat complicated, but its documentation is
+clear; it is probably the best tool to use for picking and choosing
+symbols from a variety of font families.
+\begin{ctanrefs}
+\item[mnsymbol \nothtml{\rmfamily}fonts]\CTANref{mnsymbol}
+\item[pifont.sty]Distributed as part of \CTANref{psnfss}
+\item[yagusylo.sty]\CTANref{yagusylo}
+\end{ctanrefs}
+
+\Question[Q-numbersets]{Symbols for the number sets}
+
+Mathematicians commonly use special lettering for the real numbers and
+other standard number sets. Traditionally these were typeset in bold.
+Because, in the ordinary course of events, mathematicians do not have
+access to bold chalk, they invented special symbols that are now
+often used for the number sets; these symbols are known as
+``blackboard bold'' (or double-stroked fonts); in place of the heavier
+strokes of a bold font, (some) strokes of the letters are doubled.
+The minimum useful set is upper-case letters `I', `N', `R', `Q' and
+`Z'; some fonts offer a figure `1' (for a unit matrix~--- not a number
+set at all).
+
+A set of blackboard bold capitals is available in the \acro{AMS}
+\FontName{msbm} fonts (\FontName{msbm} is available at a range of
+design sizes, with names such as \FontName{msbm10}). The pair of font
+families (the other is called \FontName{msam}) have a large number of
+mathematical symbols to supplement those provided in the Knuth's
+original \TeX{} distribution, and are available in Type~1 format in
+modern distributions. Support files for using the fonts, both under
+\plaintex{} and \LaTeX{} (packages \Package{amssymb} and
+\Package{amsfonts}), are available. The font shape is a rather
+austere sans, which many people don't like (though it captures the
+essence of quickly-chalked writing rather well).
+
+The \FontName{bbold} family is set of blackboard bold fonts written in
+\MF{}. This set offers blackboard bold forms of lower-case letters;
+the font source directory also contains sources for a \LaTeX{} package
+that enables use of the fonts. The fonts are not available in Type~1 format.
+
+The \FontName{bbm} family claims to provide
+`blackboard' versions of most of the \FontName{cm} fonts~\dots{} including
+the bold and bold-extended series. Again, the fonts are designed in
+\MF{} and are not available in Type~1 format. \LaTeX{} macro support
+comes from a package by Torsten Hilbrich.
+
+The \FontName{doublestroke} family comes in just roman
+and sans shapes, at a single weight, and is available both as \MF{}
+sources and as Type~1; the font covers the uppercase latin letters,
+lowercase `h' and 'k', and the digit `1'.
+
+A document that shows the \FontName{bbm}, \FontName{bbold},
+\FontName{doublestroke} and \FontName{msbm} fonts, so that you can get
+a feel for their appearance, is available (\acro{CTAN} package
+\Package{blackboard}).
+
+An alternative source of Type~1 fonts with blackboard bold characters
+may be found in the steadily increasing set of complete families, both
+commercial and free, that have been prepared for use with \AllTeX{}
+(see % beware line break
+\htmlonly{``}\Qref[question]{choice of outline fonts}{Q-psfchoice}\htmlonly{''}).
+Of the free sets, the \FontName{txfonts} and \FontName{pxfonts} families
+both come with replicas of \FontName{msam} and \FontName{msbm}
+(though, as noted elsewhere, there are other reasons not to use these
+fonts). The \FontName{mathpazo} family includes a ``mathematically
+significant'' choice of blackboard bold characters, and the
+\FontName{fourier} fonts contain blackboard bold upper-case letters,
+the digit `1', and lower-case `k'.
+
+The ``lazy person's'' blackboard bold macros:
+\begin{quote}
+\begin{verbatim}
+\newcommand{\R}{{\textsf{R}\hspace*{-0.9ex}%
+ \rule{0.15ex}{1.5ex}\hspace*{0.9ex}}}
+\newcommand{\N}{{\textsf{N}\hspace*{-1.0ex}%
+ \rule{0.15ex}{1.3ex}\hspace*{1.0ex}}}
+\newcommand{\Q}{{\textsf{Q}\hspace*{-1.1ex}%
+ \rule{0.15ex}{1.5ex}\hspace*{1.1ex}}}
+\newcommand{\C}{{\textsf{C}\hspace*{-0.9ex}%
+ \rule{0.15ex}{1.3ex}\hspace*{0.9ex}}}
+\end{verbatim}
+\end{quote}
+are almost acceptable at normal size if the surrounding text is
+\FontName{cmr10} (the position of the vertical bar can be affected by
+the surrounding font). However, they are not part of a proper maths font,
+and do not work in sub- and superscripts. As we've seen, there are
+plenty of alternatives: that mythical ``lazy'' person can inevitably
+do better than the macros, or anything similar using capital `I'
+(which looks even worse!). Voluntary \AllTeX{} effort has redefined
+the meaning of laziness (in this respect!).
+\begin{ctanrefs}
+\item[AMS support files]Distributed as part of \CTANref{amsfonts}
+\item[AMS symbol fonts]Distributed as part of \CTANref{amsfonts}
+\item[bbm fonts]\CTANref{bbm}
+\item[bbm macros]\CTANref{bbm-macros}
+\item[bbold fonts]\CTANref{bbold}
+\item[blackboard \nothtml{\rmfamily}evaluation set]\CTANref{blackboard}
+\item[doublestroke fonts]\CTANref{doublestroke}
+\item[fourier fonts]\CTANref{fourier}
+\item[mathpazo fonts]\CTANref{mathpazo}
+\item[pxfonts]\CTANref{pxfonts}
+\item[txfonts]\CTANref{txfonts}
+\end{ctanrefs}
+
+\Question[Q-scriptfonts]{Better script fonts for maths}
+
+The font selected by \csx{mathcal} is the only script font `built
+in'. However, there are other useful calligraphic fonts included with
+modern \TeX{} distributions.
+\begin{description}
+\item[Euler] The \Package{eucal} package (part of most sensible \TeX{}
+ distributions; the fonts are part of the \acro{AMS} font set) gives
+ a slightly curlier font than the default. The package changes the
+ font that is selected by \csx{mathcal}.
+
+ Type 1 versions of the fonts are available in the \acro{AMS} fonts
+ distribution.
+\item[RSFS] The \Package{mathrsfs} package uses a really fancy script
+ font (the name stands for ``Ralph Smith's Formal Script'') which is
+ already part of most modern \TeX{} distributions (Type~1 versions of
+ the font are also provided, courtesy of Taco Hoekwater). The package
+ creates a new command \csx{mathscr}.
+\item[Zapf Chancery] is the standard \PS{} calligraphic font. There
+ is no package but you can easily make it available by means of the
+ command
+\begin{verbatim}
+\DeclareMathAlphabet{\mathscr}{OT1}{pzc}%
+ {m}{it}
+\end{verbatim}
+ in your preamble. You may find the font rather too big; if so, you
+ can use a scaled version of it like this:
+\begin{verbatim}
+\DeclareFontFamily{OT1}{pzc}{}
+\DeclareFontShape{OT1}{pzc}{m}{it}%
+ {<-> s * [0.900] pzcmi7t}{}
+\DeclareMathAlphabet{\mathscr}{OT1}{pzc}%
+ {m}{it}
+\end{verbatim}
+
+ Adobe Zapf Chancery (which the above examples use) is distributed in
+ any but the most basic \PS{} printers. A substantially identical
+ font (to the extent that the same metrics may be used) is
+ available from \acro{URW}, called URW Chancery L: it is distributed
+ with Ghostscript, and as part of the ``URW base35'' bundle, which is
+ available in most distributions.
+\end{description}
+Examples of the available styles are available on \acro{CTAN}.
+\begin{ctanrefs}
+\item[eucal.sty]Distributed as part of \CTANref{amsfonts}
+\item[euler fonts]Distributed as part of \CTANref{amsfonts}
+\item[ghostscript]Browse \CTANref{ghostscript}
+\item[mathrsfs.sty]Distributed as part of \CTANref{jknappen-macros}
+\item[rsfs fonts]\CTANref{rsfs}
+\item[Script font examples]\CTANref{mathscript}
+\item[URW Chancery L]Distributed as part of \CTANref{urw-base35}
+\end{ctanrefs}
+
+\Question[Q-boldgreek]{Setting bold Greek letters in \LaTeX{}}
+
+The issue here is complicated by the fact that \csx{mathbf} (the
+command for setting bold \emph{text} in \TeX{} maths) affects a select
+few mathematical symbols (the uppercase Greek letters). However
+lower-case Greek letters behave differently from upper-case Greek
+letters (due to Knuth's esoteric font encoding decisions). However,
+\csx{mathbf} \emph{can't} be used even for upper-case Greek letters in
+the \AMSLaTeX{} \Package{amsmath} package, which
+disables this font-switching and you must use one of the techniques
+outlined below.
+
+The \plaintex{} solution \emph{does} work, in a limited way:
+\begin{quote}
+\begin{verbatim}
+{\boldmath$\theta$}
+\end{verbatim}
+\end{quote}
+but \csx{boldmath} may not be used in maths mode, so this `solution'
+requires arcana such as:
+\begin{quote}
+\begin{verbatim}
+$... \mbox{\boldmath$\theta$} ...$
+\end{verbatim}
+\end{quote}
+which then causes problems in superscripts, etc.
+
+These problems may be addressed by using a bold mathematics package.
+\begin{itemize}
+\item The \Package{bm} package, which is part of the \LaTeX{} tools
+ distribution, defines a command \csx{bm} which may be used anywhere
+ in maths mode.
+\item The \Package{amsbsy} package (which is part of \AMSLaTeX{})
+ defines a command \csx{boldsymbol}, which (though slightly less
+ comprehensive than \csx{bm}) covers almost all common cases.
+\end{itemize}
+
+All these solutions cover all mathematical symbols, not merely Greek
+letters.
+\begin{ctanrefs}
+\item[bm.sty]Distributed as part of \CTANref{2etools}
+\item[amsbsy.sty]Distributed as part of \AMSLaTeX{} \CTANref{amslatex}
+\item[amsmath.sty]Distributed as part of \AMSLaTeX{}
+ \CTANref{amslatex}
+\end{ctanrefs}
+
+\Question[Q-prinvalint]{The Principal Value Integral symbol}
+
+This symbol (an integral sign, `crossed') does not appear in any of
+the fonts ordinarily available to \AllTeX{} users, but it can be
+created by use of the following macros:
+\begin{wideversion}
+\begin{verbatim}
+\def\Xint#1{\mathchoice
+ {\XXint\displaystyle\textstyle{#1}}%
+ {\XXint\textstyle\scriptstyle{#1}}%
+ {\XXint\scriptstyle\scriptscriptstyle{#1}}%
+ {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}%
+ \!\int}
+\def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$}
+ \vcenter{\hbox{$#2#3$}}\kern-.5\wd0}}
+\def\ddashint{\Xint=}
+\def\dashint{\Xint-}
+\end{verbatim}
+\end{wideversion}
+\begin{narrowversion}
+\begin{verbatim}
+\def\Xint#1{\mathchoice
+ {\XXint\displaystyle\textstyle{#1}}%
+ {\XXint\textstyle\scriptstyle{#1}}%
+ {\XXint\scriptstyle\scriptscriptstyle{#1}}%
+ {\XXint\scriptscriptstyle
+ \scriptscriptstyle{#1}}%
+ \!\int}
+\def\XXint#1#2#3{{%
+ \setbox0=\hbox{$#1{#2#3}{\int}$}
+ \vcenter{\hbox{$#2#3$}}\kern-.5\wd0}}
+\def\ddashint{\Xint=}
+\def\dashint{\Xint-}
+\end{verbatim}
+\end{narrowversion}
+\csx{dashint} gives a single-dashed integral sign, \csx{ddashint} a
+double-dashed one.
+
+\Question[Q-underscore]{How to use the underscore character}
+
+The underscore character `\texttt{\_}' is ordinarily used in
+\TeX{} to indicate a subscript in maths mode; if you type
+\texttt{\_}, on its own, in the course of ordinary text, \TeX{} will
+complain. If you're writing a document which will contain a large
+number of underscore characters, the prospect of typing
+\csx{\_} (or, worse, \csx{textunderscore}) for every one of
+them will daunt most ordinary people.
+
+Moderately skilled macro programmers can readily generate a quick hack
+to permit typing `\texttt{\_}' to mean `text underscore'.
+However, the code \emph{is} somewhat tricky, and more importantly
+there are significant points where it's easy to get it wrong. There
+is therefore a package \Package{underscore} which provides a general
+solution to this requirement.
+
+There is a problem, though: \acro{OT}1 text fonts don't contain an
+underscore character, unless they're in the typewriter version of the
+encoding (used by fixed-width fonts such as \texttt{cmtt}). So either
+you must ensure that your underscore characters only occur in text set
+in a typewriter font, or you must use a more modern encoding, such as
+\acro{T}1, which has the same layout for every font, and thus an
+underscore in every font.
+
+If the requirement is only for occasional uses of underscores, it may
+be acceptable to use the following construct:
+\begin{quote}
+\begin{verbatim}
+\def\us{\char`\_}
+...
+\texttt{create\us process}
+\end{verbatim}
+\end{quote}
+The construction isn't in the least robust (in the normal English
+sense of the word), but it \emph{is} robust under expansion (i.e., the
+\LaTeX{} sense of the word); so use it with care, but don't worry
+about section headings and the like.
+\begin{ctanrefs}
+\item[underscore.sty]\CTANref{underscore}
+\end{ctanrefs}
+
+\Question[Q-atsign]{How to type an `@' sign?}
+
+Long ago, some packages used to use the `@' sign as a command, so that
+special measures were needed to type it. While those packages are
+still in principle available, few people use them, and those that do
+use them have ready access to rather good documentation.
+
+Ordinary people (such as the author of this \acro{FAQ}) need only type
+`@'.
+
+\Question[Q-euro]{Typesetting the Euro sign}
+
+The European currency ``Euro'' is represented by a symbol of somewhat
+dubious design, but it's an important currency and \AllTeX{} users
+need to typeset it.
+
+Note that the Commission of the European Community at first deemed
+that the Euro symbol should always be set in a sans-serif font;
+fortunately, this eccentric ruling has now been rescinded, and one may
+apply best typesetting efforts to making it appear at least slightly
+``respectable'' (typographically).
+
+The \acro{TS}1-encoded \acro{TC} fonts provided as part of the \acro{EC} font
+distribution provide Euro glyphs. The fonts are called Text Companion
+(\acro{TC}) fonts, and offer the same range
+of faces as do the \acro{EC} fonts themselves. The
+\Package{textcomp} package provides a \csx{texteuro} command for
+accessing the symbol, which selects a symbol to match the surrounding
+text. The design of the symbol in the \acro{TC} fonts is not
+universally loved\dots{}
+Nevertheless, use the \acro{TC} font version of the symbol if you are
+producing documents using Knuth's Computer Modern Fonts.
+
+The \Package{latin9} input encoding defined by the \Package{inputenc}
+package has a euro character defined (character position 164, occupied
+in other \acro{ISO} Latin character sets by the ``currency symbol'').
+The encoding uses the command \csx{texteuro} for the character; at
+present that command is \emph{only} available from the
+\Package{textcomp} package. There is a Microsoft code page position,
+too, but standardisation of such things proceeds via rather different
+routes and the \LaTeX{} project hasn't yet been given details of the
+change.
+
+Outline fonts which contain nothing but Euro symbols are available
+(free) from
+\href{ftp://ftp.adobe.com/pub/adobe/type/win/all/eurofont.exe}{Adobe}\nobreakspace---
+the file is packaged as a \ProgName{Windows} self-extracting
+executable, but it may be decoded as a \extension{zip} format archive
+on other operating systems.
+The \Package{euro} bundle contains metrics, \ProgName{dvips} map
+files, and macros (for \plaintex{} and \LaTeX{}), for using these
+fonts in documents. \LaTeX{} users will find two packages in the
+bundle: \Package{eurosans} only offers the sans-serif version (to
+conform with the obsolete ruling about sans-serif-only symbols; the
+package provides the
+command \csx{euro}), whereas \Package{europs} matches the Euro symbol
+with the surrounding text (providing the command \csx{EUR}). To use
+either package
+with the \Package{latin9} encoding, you need to define \csx{texteuro}
+as an alias for the euro command the package defines.
+
+The Adobe fonts are probably the best bet for use in non-Computer
+Modern environments. They are apparently designed to fit with Adobe
+Times, Helvetica and Courier, but can probably fit with a wider range
+of modern fonts.
+
+The \Package{eurofont} package provides a compendious analysis of the
+``problem of the euro symbol'' in its documentation, and offers macros
+for configuring the source of the glyphs to be used; however, it seems
+rather large for everyday use.
+
+The \Package{euro-ce} bundle is a rather pleasing \MF{}-only design
+providing Euro symbols in a number of shapes. The file
+\File{euro-ce.tex}, in the distribution, offers hints as to how a
+\plaintex{} user might make use of the fonts.
+
+Euro symbols are found in several other places, which we list here for
+completeness.
+
+The \Package{marvosym} fonts contain a Euro symbol among many other
+good things.
+%% ; the font on \acro{CTAN} is not Adobe \ProgName{ATM}
+%% compatible, but a compatible version is available free from
+%% \href{http://www.YandY.com/download/marvosym.zip}{\YandY{}}. The font
+%% on \acro{CTAN} comes with a set of macros to typeset all the symbols
+%% it contains.
+
+Other \MF{}-based bundles containing Euro symbols are to be found in
+\Package{china2e} (whose primary aim is Chinese dates and suchlike
+matters) and the \Package{eurosym} fonts.
+\begin{ctanrefs}
+\item[china2e bundle]\CTANref{china2e}
+\item[EC fonts]\CTANref{ec}
+\item[euro fonts]\CTANref{euro-fonts}
+\item[euro-ce fonts]\CTANref{euro-ce}
+\item[eurofont.sty]\CTANref{eurofont}
+\item[eurosym fonts]\CTANref{eurosym}
+\item[marvosym fonts]\CTANref{marvosym-fonts}
+\item[textcomp.sty]Part of the \LaTeX{} distribution.
+\end{ctanrefs}
+
+\Question[Q-tradesyms]{How to get copyright, trademark, etc.}
+
+The ``\nothtml{Comprehensive symbol list'' (}% beware line break
+\Qref{Comprehensive symbol list}{Q-symbols}\latexhtml{)}{''}, lists
+the symbol commands \csx{textcopyright},
+\csx{textregistered} and \csx{texttrademark}, which are available in
+\acro{TS}1-encoded fonts, and which are enabled using the
+\Package{textcomp} package.
+
+In fact, all three commands are enabled in default \LaTeX{}, but the
+glyphs you get aren't terribly beautiful. In particular,
+\csx{textregistered} behaves oddly when included in bold text (for
+example, in a section heading), since it is composed of a small-caps
+letter, which typically degrades to a regular shape letter when asked
+to set in a bold font. This means that the glyph becomes a circled
+``r'', whereas the proper symbol is a circled ``R''.
+
+This effect is of course avoided by use of \Package{textcomp}.
+
+Another problem arises if you want \csx{textregistered} in a
+superscript position (to look similar to \csx{texttrademark}).
+Using a maths-mode superscript to do this provokes lots of pointless
+errors: you \emph{must} use
+\begin{quote}
+\begin{verbatim}
+\textsuperscript{\textregistered}
+\end{verbatim}
+\end{quote}
+
+\Question[Q-osf]{Using ``old-style'' figures}
+
+These numbers are also called medieval or lowercase figures and their
+use is mostly font-specific. Terminology is confusing since the
+lining figures (which are now the default) are a relatively recent
+development (19th century) and before they arrived, oldstyle figures
+were the norm, even when setting mathematics. (An example is Thomas
+Harriot's \emph{Artis Analyticae Praxis} published in 1631). In a
+typical old style 3, 4, 5, 7 and 9 have descenders and 6 and 8 ascend
+above the x-height; sometimes 2 will also ascend (this last seems to
+be a variation associated with French typography).
+
+\LaTeX{} provides a command \cmdinvoke*{oldstylenums}{digits}, which
+by default uses an old-style set embedded in Knuth's `math italic'
+font. The command isn't sensitive to the font style of surrounding
+text: the glyphs are only available to match the normal medium weight
+Computer Modern Roman fonts.
+
+The \Package{textcomp} package changes \csx{oldstylenums} to use the
+glyphs in the Text Companion fonts (\LaTeX{} \acro{TS}1 encoding) when
+in text mode, and also makes them available using the macros of the
+form \csx{text<number>oldstyle}, e.g., \csx{textzerooldstyle}.
+(Of course, not all font families can provide this facility.)
+
+Some font packages (e.g., \Package{mathpazo}) make old-style figures
+available and provide explicit support for making them the default:
+\cmdinvoke{usepackage}[osf]{mathpazo} selects a form where digits are
+always old-style in text. The \Package{fontinst} package will
+automatically generate ``old-style versions'' of commercial Adobe Type
+1 font families for which ``expert'' sets are available.
+
+It's also possible to make virtual fonts, that offer old-style digits,
+from existing font packages. The \FontName{cmolddig} bundle provides
+a such a virtual version of Knuth's originals, and the \FontName{eco}
+or \FontName{hfoldsty} bundles both provide versions of the \acro{EC}
+fonts. The \FontName{lm} family offers old-style figures to OpenType
+users (see below), but we have no stable mapping for \FontName{lm}
+with old-style digits from the Adobe Type 1 versions of the fonts.
+
+Originally, oldstyle figures were only to be found the expert sets of
+commercial fonts, but now they are increasingly widely available. An
+example is Matthew Carter's Georgia font, which has old-style figures
+as its normal form (the font was created for inclusion with certain
+Microsoft products and is intended for on-screen viewing).
+
+OpenType fonts have a pair of axes for number variations~---
+proportional/tabular and lining/oldstyle selections are commonly
+available. ``Full feature access'' to OpenType fonts, making such
+options available to the \AllTeX{} user, is already supported by
+\Qref*{\xetex{}}{Q-xetex} using, for example, the \Package{fontspec}
+package. Similar support is also in the works for
+\Qref*{\LuaTeX{}}{Q-luatex}.
+\begin{ctanrefs}
+\item[cmolddig \nothtml{\rmfamily}fonts]\CTANref{cmolddig}
+\item[eco \nothtml{\rmfamily}fonts]\CTANref{eco}
+\item[fontinst]\CTANref{fontinst}
+\item[fontspec.sty]\CTANref{fontspec}
+\item[mathpazo \nothtml{\rmfamily}fonts]\CTANref{mathpazo}
+\end{ctanrefs}
+