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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
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+% charset.tex January 11 1993
+%
+% This file is adapted from the file manend.tex
+% Version 3.0 of REVTeX, November 10, 1992.
+%
+% Note manual \newpage commands used to keep short pages for
+% easier on-screen viewing.
+
+\documentstyle[aps]{revtex}
+
+\def\btt#1{{\tt$\backslash$\string#1}}%
+
+% next line overrules aps style neutralization of \slantfrac
+\def\slantfrac#1#2{\kern1em^{#1}\kern-.3em/\kern-.1em_{#2}}
+
+\begin{document}
+
+%\appendix
+%\twocolumn
+\narrowtext
+
+\def\xxx{4pt}
+
+
+\subsubsection[Standard \protect\LaTeX{} symbols]{Standard LaTeX symbols}
+The following tables show the standard symbols for \LaTeX{} users.
+
+\begin{table}
+\caption{Text accents with letter a.}
+\begin{tabular}{c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}%
+ lc@{\hspace{\xxx}}l}
+\`{a} & \verb+\`{a}+&
+\'{a} & \verb+\'{a}+&
+\^{a} & \verb+\^{a}+&
+\"{a} & \verb+\"{a}+\\
+\~{a} & \verb+\~{a}+&
+\={a} & \verb+\={a}+&
+\.{a} & \verb+\.{a}+&
+\u{a} & \verb+\u{a}+\\
+\v{a} & \verb+\v{a}+&
+\H{a} & \verb+\H{a}+&
+\t{aa} & \verb+\t{aa}+&
+\c{a} & \verb+\c{a}+\\
+\d{a} & \verb+\d{a}+&
+\b{a} & \verb+\b{a}+
+\end{tabular}
+\end{table}
+
+
+\begin{table}
+\caption{Math accents with letter a.}
+\begin{tabular}%
+ {c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+$\hat{a}$ & \verb+\hat{a}+ &
+$\check{a}$ & \verb+\check{a}+ &
+ $\dot{a}$ & \verb+\dot{a}+ &
+ $\ddot{a}$ & \verb+\ddot{a}+ \\
+$\breve{a}$ & \verb+\breve{a}+ &
+ $\tilde{a}$ & \verb+\tilde{a}+ &
+ $\grave{a}$ & \verb+\grave{a}+ &
+ $\acute{a}$ & \verb+\acute{a}+ \\
+ $\bar{a}$ & \verb+\bar{a}+ &
+ $\vec{a}$ & \verb+\vec{a}+ &
+\end{tabular}
+\end{table}
+
+\newpage
+
+\begin{table}
+\caption{Special symbols; any mode.}
+\begin{tabular}{c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+\dag & \verb+\dag+& \S & \verb+\S+& \copyright & \verb+\copyright+\\
+\ddag & \verb+\ddag+& \P & \verb+\P+& \pounds & \verb+\pounds+\\
+\end{tabular}
+\end{table}
+
+
+
+
+\begin{table}
+\caption{Other special (foreign) symbols; text mode.}
+\begin{tabular}%
+ {c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+ \aa & \verb+\aa+&
+ \AA & \verb+\AA+&
+\ae & \verb+\ae+&
+\AE & \verb+\AE+\\
+ \o & \verb+\o+&
+ \O & \verb+\O+&
+\oe & \verb+\oe+&
+\OE & \verb+\OE+\\
+ \l & \verb+\l+&
+ \L & \verb+\L+&
+ ?` & \verb+?`+&
+ !` & \verb+!`+\\
+ \ss & \verb+\ss+
+\end{tabular}
+\end{table}
+
+
+\newpage
+
+\begin{table}
+\caption{Greek letters; used in math mode.}
+\begin{tabular}%
+ {c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+\multicolumn{8}{c}{\it Lowercase}\\
+$\alpha$ & \verb+\alpha+ &
+$\beta$ & \verb+\beta+ &
+$\gamma$ & \verb+\gamma+ &
+$\delta$ & \verb+\delta+\\
+$\epsilon$ & \verb+\epsilon+ &
+$\varepsilon$ & \verb+\varepsilon+ &
+$\zeta$ & \verb+\zeta+ &
+$\eta$ & \verb+\eta+ \\
+ $\theta$ & \verb+\theta+ &
+ $\vartheta$ & \verb+\vartheta+ &
+ $\iota$ & \verb+\iota+ &
+ $\kappa$ & \verb+\kappa+ \\
+ $\lambda$ & \verb+\lambda+ &
+ $\mu$ & \verb+\mu+ &
+ $\nu$ & \verb+\nu+ &
+ $\xi$ & \verb+\xi+\\
+ $o$ & \verb+o+ &
+ $\pi$ & \verb+\pi+ &
+ $\varpi$ & \verb+\varpi+ &
+ $\rho$ & \verb+\rho+ \\
+ $\varrho$ & \verb+\varrho+ &
+ $\sigma$ & \verb+\sigma+ &
+ $\varsigma$ & \verb+\varsigma+ &
+ $\tau$ & \verb+\tau+ \\
+ $\upsilon$ & \verb+\upsilon+ &
+ $\phi$ & \verb+\phi+ &
+ $\varphi$ & \verb+\varphi+ &
+ $\chi$ & \verb+\chi+ \\
+ $\psi$ & \verb+\psi+ &
+ $\omega$ & \verb+\omega+ &
+ \\[\baselineskip]
+\multicolumn{8}{c}{\it Uppercase}\\
+$\Gamma$ & \verb+\Gamma+ &
+$\Delta$ & \verb+\Delta+ &
+$\Theta$ & \verb+\Theta+ &
+ $\Lambda$ & \verb+\Lambda+\\
+ $\Xi$ & \verb+\Xi+ &
+ $\Pi$ & \verb+\Pi+ &
+ $\Sigma$ & \verb+\Sigma+ &
+ $\Upsilon$ & \verb+\Upsilon+ \\
+ $\Phi$ & \verb+\Phi+ &
+ $\Psi$ & \verb+\Psi+ &
+ $\Omega$ & \verb+\Omega+ &
+\end{tabular}
+\end{table}
+
+\newpage
+
+\begin{table}
+\caption{Binary operation symbols; used in math mode.}
+\def\xxx{3.2pt}
+\begin{tabular}%
+ {c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+$\pm$ & \verb+\pm+ &
+$\mp$ & \verb+\mp+ &
+$\times$ & \verb+\times+ &
+$\div$ & \verb+\div+ \\
+$\ast$ & \verb+\ast+ &
+$\star$ & \verb+\star+ &
+$\circ$ & \verb+\circ+ &
+$\bullet$ & \verb+\bullet+\\
+ $\cap$ & \verb+\cap+ &
+ $\cup$ & \verb+\cup+ &
+ $\uplus$ & \verb+\uplus+ &
+$\cdot$ & \verb+\cdot+ \\
+ $\sqcap$ & \verb+\sqcap+ &
+ $\sqcup$ & \verb+\sqcup+ &
+ $\vee$ & \verb+\vee+ &
+ $\wedge$ & \verb+\wedge+\\
+ $\oplus$ & \verb+\oplus+ &
+ $\ominus$ & \verb+\ominus+ &
+ $\otimes$ & \verb+\otimes+ &
+ $\oslash$ & \verb+\oslash+ \\
+$\bigtriangleup$ & \verb+\bigtriangleup+ &
+ $\odot$ & \verb+\odot+ &
+ $\lhd$ & \verb+\lhd+ &
+ $\dagger$ & \verb+\dagger+ \\
+$\bigtriangledown$ & \verb+\bigtriangledown+ &
+ $\bigcirc$ & \verb+\bigcirc+ &
+ $\rhd$ & \verb+\rhd+ &
+ $\ddagger$ & \verb+\ddagger+\\
+$\triangleleft$ & \verb+\triangleleft+ &
+ $\diamond$ & \verb+\diamond+ &
+ $\unlhd$ & \verb+\unlhd+ &
+ $\setminus$ & \verb+\setminus+\\
+$\triangleright$ & \verb+\triangleright+ &
+ $\wr$ & \verb+\wr+ &
+ $\unrhd$ & \verb+\unrhd+ &
+ $\amalg$ & \verb+\amalg+
+\end{tabular}
+\end{table}
+
+
+\newpage
+
+\begin{table}
+\caption{Relation symbols; used in math mode. }
+\begin{tabular}%
+ {c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+$\leq$ & \verb+\leq+ &
+ $\geq$ & \verb+\geq+ &
+$\ll$ & \verb+\ll+ &
+ $\gg$ & \verb+\gg+ \\
+ $\equiv$ & \verb+\equiv+ &
+ $\asymp$ & \verb+\asymp+ &
+ $\neq$ & \verb+\neq+ &
+ $\doteq$ & \verb+\doteq+ \\
+$\subset$ & \verb+\subset+ &
+ $\supset$ & \verb+\supset+ &
+$\subseteq$ & \verb+\subseteq+ &
+ $\supseteq$ & \verb+\supseteq+ \\
+$\sqsubset$ & \verb+\sqsubset+ &
+ $\sqsupset$ & \verb+\sqsupset+ &
+$\sqsubseteq$ & \verb+\sqsubseteq+ &
+ $\sqsupseteq$ & \verb+\sqsupseteq+\hidewidth \\
+ $\models$ & \verb+\models+ &
+ $\perp$ & \verb+\perp+ &
+ $\mid$ & \verb+\mid+ &
+ $\parallel$ & \verb+\parallel+ \\
+$\prec$ & \verb+\prec+ &
+ $\succ$ & \verb+\succ+ &
+$\preceq$ & \verb+\preceq+ &
+ $\succeq$ & \verb+\succeq+ \\
+ $\sim$ & \verb+\sim+ &
+ $\simeq$ & \verb+\simeq+ &
+ $\approx$ & \verb+\approx+ &
+ $\cong$ & \verb+\cong+ \\
+ $\bowtie$ & \verb+\bowtie+ &
+ $\Join$ & \verb+\Join+ &
+ $\smile$ & \verb+\smile+ &
+ $\frown$ & \verb+\frown+ \\
+$\in$ & \verb+\in+ &
+ $\ni$ & \verb+\ni+ &
+$\vdash$ & \verb+\vdash+ &
+ $\dashv$ & \verb+\dashv+ \\
+ $\propto$ & \verb+\propto+ &
+\end{tabular}
+%\end{table}
+
+ Negated relations can sometimes
+be constructed with \verb+\not+. For example,
+\[
+\hbox{\verb+If $x \not< y$ then $x \not\leq z$.+}
+\]
+gives
+\[
+\hbox{If $x \not< y$ then $x \not\leq z$.}
+\]
+
+\end{table}
+
+\newpage
+
+\begin{table}
+\caption{Arrow symbols; used in math mode.}
+\begin{tabular}{c@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+$\leftarrow$ & \verb+\leftarrow+ &
+$\rightarrow$ & \verb+\rightarrow+ \\
+ $\longleftarrow$ & \verb+\longleftarrow+ &
+ $\longrightarrow$ & \verb+\longrightarrow+ \\
+$\Leftarrow$ & \verb+\Leftarrow+ &
+$\Rightarrow$ & \verb+\Rightarrow+ \\
+ $\Longleftarrow$ & \verb+\Longleftarrow+ &
+ $\Longrightarrow$ & \verb+\Longrightarrow+ \\
+$\hookleftarrow$ & \verb+\hookleftarrow+ & $\hookrightarrow$
+ & \verb+\hookrightarrow+ \\
+$\leftharpoonup$ & \verb+\leftharpoonup+ & $\rightharpoonup$
+ & \verb+\rightharpoonup+\\
+$\leftharpoondown$ & \verb+\leftharpoondown+ & $\rightharpoondown$
+ & \verb+\rightharpoondown+ \\
+$\rightleftharpoons$&\verb+\rightleftharpoons+&$\leadsto$&\verb+\leadsto+ \\
+$\leftrightarrow$ & \verb+\leftrightarrow+ & $\longleftrightarrow$
+ & \verb+\longleftrightarrow+ \\
+$\Leftrightarrow$ & \verb+\Leftrightarrow+ & $\Longleftrightarrow$
+ & \verb+\Longleftrightarrow+ \\
+$\mapsto$ & \verb+\mapsto+ & $\longmapsto$ & \verb+\longmapsto+ \\
+\multicolumn{4}{c}{%
+ \begin{tabular}{c@{\hspace{\xxx}}l}
+ $\uparrow$ & \btt{uparrow}\\
+ $\downarrow$ & \btt{downarrow} \\
+ $\Uparrow$ & \btt{Uparrow}\\
+ $\Downarrow$ & \btt{Downarrow}\\
+ $\updownarrow$ & \btt{updownarrow}\\
+ $\Updownarrow$ & \btt{Updownarrow}\\
+ $\nearrow$ & \btt{nearrow}\\
+ $\searrow$ & \btt{searrow}\\
+ $\swarrow$ & \btt{swarrow}\\
+ $\nwarrow$ & \btt{nwarrow}
+ \end{tabular}%
+} % end of multicolumn
+%
+\end{tabular}
+\end{table}
+
+
+
+\newpage
+
+\begin{table}
+\caption{Miscellaneous symbols; used in math mode.}
+\begin{tabular}%
+ {c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+ $\flat$ & \verb+\flat+ &
+ $\natural$ & \verb+\natural+ &
+ $\sharp$ & \verb+\sharp+ &
+ $\prime$ & \verb+\prime+ \\
+ $\backslash$ & \verb+\backslash+ &
+ $\forall$ & \verb+\forall+ &
+ $\infty$ & \verb+\infty+ &
+ $\exists$ & \verb+\exists+\\
+ $\emptyset$ & \verb+\emptyset+ &
+ $\Box$ & \verb+\Box+ &
+ $\nabla$ & \verb+\nabla+ &
+ $\neg$ & \verb+\neg+ \\
+ $\Diamond$ & \verb+\Diamond+ &
+ $\surd$ & \verb+\surd+ &
+ $\triangle$ & \verb+\triangle+&
+ $\|$ & \verb+\|+ \\
+ $\clubsuit$ & \verb+\clubsuit+ &
+$\aleph$ & \verb+\aleph+ &
+$\wp$ & \verb+\wp+ &
+ $\top$ & \verb+\top+\\
+ $\diamondsuit$ & \verb+\diamondsuit+&
+$\Re$ & \verb+\Re+ &
+$\ell$ & \verb+\ell+ &
+ $\bot$ & \verb+\bot+ \\
+ $\heartsuit$ & \verb+\heartsuit+ &
+$\Im$ & \verb+\Im+ &
+$\imath$ & \verb+\imath+ &
+ $\partial$ & \verb+\partial+ \\
+ $\spadesuit$ & \verb+\spadesuit+ &
+$\hbar$ & \verb+\hbar+ &
+$\jmath$ & \verb+\jmath+ &
+ $\angle$ & \verb+\angle+ \\
+$\mho$ & \verb+\mho+
+\end{tabular}
+\end{table}
+
+\newpage
+
+\begin{table}
+\caption{Log-like functions; used in math mode.}
+\begin{tabular}{llllllll}
+\verb+\arccos+ &
+\verb+\arcsin+ &
+\verb+\arctan+ &
+\verb+\arg+ &
+ \verb+\cos+ \\
+ \verb+\cosh+ &
+ \verb+\cot+ &
+ \verb+\coth+ &
+ \verb+\csc+ &
+ \verb+\deg+ \\
+ \verb+\det+ &
+ \verb+\dim+ &
+ \verb+\exp+ &
+ \verb+\gcd+ &
+ \verb+\hom+ \\
+ \verb+\inf+ &
+ \verb+\ker+ &
+ \verb+\lg+ &
+ \verb+\lim+ &
+ \verb+\liminf+ \\
+ \verb+\limsup+ &
+ \verb+\ln+ &
+ \verb+\log+ &
+ \verb+\max+ &
+ \verb+\min+ \\
+ \verb+\Pr+ &
+ \verb+\sec+ &
+ \verb+\sin+ &
+ \verb+\sinh+ &
+ \verb+\sup+ \\
+ \verb+\tan+ &
+ \verb+\tanh+
+\end{tabular}
+\end{table}
+
+\newpage
+
+\begin{table}
+\caption{Delimiters; used in math mode.}
+\begin{tabular}{c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+$($ & \verb+(+ &
+ $)$ & \verb+)+ &
+$/$ & \verb+/+ \\
+$[$ & \verb+[+ &
+ $]$ & \verb+]+ &
+ $\backslash$ & \verb+\backslash+ \\
+$\{$ & \verb+\{+ &
+ $\}$ & \verb+\}+ &
+$|$ & \verb+|+ \\
+$\langle$ & \verb+\langle+ &
+ $\rangle$ & \verb+\rangle+ &
+ $\|$ & \verb+\|+ \\
+ $\uparrow$ & \verb+\uparrow+ &
+ $\Uparrow$ & \verb+\Uparrow+&
+$\lfloor$ & \verb+\lfloor+ \\
+ $\downarrow$ & \verb+\downarrow+ &
+ $\Downarrow$ & \verb+\Downarrow+ &
+ $\rfloor$ & \verb+\rfloor+ \\
+ $\updownarrow$ & \verb+\updownarrow+ &
+ $\Updownarrow$ & \verb+\Updownarrow+ &
+$\lceil$ & \verb+\lceil+ \\
+ & & & & $\rceil$ & \verb+\rceil+
+\end{tabular}
+\end{table}
+
+
+\newpage
+
+\begin{table}
+\caption{Miscellaneous symbols; used in math mode.}
+\begin{tabular}{c@{\hspace{\xxx}}lc@{\hspace{\xxx}}lc@{\hspace{\xxx}}l}
+$\textstyle\sum$ $\displaystyle\sum$ & \verb+\sum+ &
+$\textstyle\prod$ $\displaystyle\prod$ & \verb+\prod+ &
+$\textstyle\coprod$ $\displaystyle\coprod$ & \verb+\coprod+ \\
+$\textstyle\int$ $\displaystyle\int$ & \verb+\int+ &
+$\textstyle\oint$ $\displaystyle\oint$ & \verb+\oint+ &
+$\textstyle\biguplus$ $\displaystyle\biguplus$ & \verb+\biguplus+ \\
+ $\textstyle\bigcap$ $\displaystyle\bigcap$ & \verb+\bigcap+ &
+ $\textstyle\bigcup$ $\displaystyle\bigcup$ & \verb+\bigcup+ &
+ $\textstyle\bigsqcup$ $\displaystyle\bigsqcup$ & \verb+\bigsqcup+ \\
+ $\textstyle\bigodot$ $\displaystyle\bigodot$ & \verb+\bigodot+ &
+ $\textstyle\bigotimes$ $\displaystyle\bigotimes$ & \verb+\bigotimes+ &
+ $\textstyle\bigoplus$ $\displaystyle\bigoplus$ & \verb+\bigoplus+ \\
+ $\textstyle\bigvee$ $\displaystyle\bigvee$ & \verb+\bigvee+ &
+ $\textstyle\bigwedge$ $\displaystyle\bigwedge$ & \verb+\bigwedge+
+\end{tabular}
+\end{table}
+
+\newpage
+
+\subsubsection[Standard \protect\LaTeX{} typefaces]{Standard LaTeX typefaces}
+
+You can access a pair of special typefaces in \LaTeX.
+
+% only math mode?
+You can switch to script (calligraphic) letters by using the \verb+\cal+
+command (note the $\cal L$):
+\begin{verbatim}
+{\cal L}_{\text{int}} = e F^{3}_{\pi} r^{2}
+ B^{0}(r,t) \epsilon \sin(\Omega t)
+ \exp(\eta t),
+\end{verbatim}
+gives
+\[
+{\cal L}_{\text{int}} = eF^{3}_{\pi} r^{2}
+ B^{0}(r,t)\epsilon\sin(\Omega t)\exp(\eta t),
+\]
+Only uppercase letters are available in the \verb+\cal+ font.
+
+
+% only math mode?
+You can switch to sans serif letters by using the \verb+\sf+
+command (note the $\sf M$):
+
+% \case -> \frac for portability
+
+\begin{verbatim}
+R({\cal Q}-{\cal Q}_{0})
+=R_{0} \exp\left(-\frac{1}{2}\Delta {\cal Q}
+ \cdot{\sf M}\cdot\Delta{\cal Q}\right).
+ \label{eq:rdef}
+\end{verbatim}
+gives
+\[
+ R({\cal Q}-{\cal Q}_{0}) =
+% R_{0} \exp\left(-\case1/2\Delta {\cal Q} \cdot {\sf M}
+ R_{0} \exp\left(-\frac{1}{2}\Delta {\cal Q} \cdot {\sf M}
+ \cdot \Delta {\cal Q}\right).
+\]
+Both uppercase and lowercase letters are available with \verb+\sf+.
+
+\newpage
+
+\subsubsection{Other notations}
+
+% math mode only?
+The \verb+\overline+ command puts a horizontal line above its argument
+in math mode:
+\begin{verbatim}
+$\overline{x}+\overline{y}$
+\end{verbatim}
+gives
+\[
+\overline{x}+\overline{y}
+\]
+
+There is an analogous \verb+\underline+ command that works in text
+or math mode:
+\begin{verbatim}
+The equation \underline{is} $\underline{x+y}$.
+\end{verbatim}
+gives
+\[
+\hbox{The equation \underline{is} $\underline{x+y}$.}
+\]
+
+% math mode?
+Horizontal braces are put above or below an expression with the
+\verb+\overbrace+ and \verb+\underbrace+ commands:
+\begin{verbatim}
+$\underbrace{a_{1} + \overbrace{a_{2}+a_{3}}
+ + a_{4}}$
+\end{verbatim}
+gives
+\[
+\underbrace{a_{1} + \overbrace{a_{2}+a_{3}} + a_{4}}
+\]
+and in displayed math, a subscript or a superscript puts a label on
+the brace:
+\begin{verbatim}
+$\underbrace{a_{1} +
+ \overbrace{a_{2}+\cdots+a_{n-1}}^{n-2}
+ + a_{n}}_{n}$
+\end{verbatim}
+gives
+\[
+\underbrace{a_{1} + \overbrace{a_{2}+\cdots+a_{n-1}}^{n-2} + a_{n}}_{n}
+\]
+
+Wide versions of the \verb+\hat+ and \verb+\tilde+ commands are available.
+They are called \verb+\widehat+ and \verb+\widetilde+, respectively.
+Here is an example:
+\begin{verbatim}
+$\widehat{a} + \widehat{ab}
+ + \widehat{abc} + \widehat{abcd}$
+\end{verbatim}
+gives
+\[
+\widehat{a} + \widehat{ab} + \widehat{abc} + \widehat{abcd}
+\]
+
+\end{document}
+% end of file charset.tex
+