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% Definitions
\def\lsym{$\mathsurround=0pt {}^\ell$}
\def\LSYM #1{$#1$ & \texttt{\string#1}\lsym}
\def\SYM #1{$#1$ & \texttt{\string#1}}
\def\BIGSYM #1{$#1$ & $\displaystyle #1$ & \texttt{\string#1}}
\def\ACC #1#2{$#1{#2}$ & \texttt{\string#1}\marg*{#2}}
\def\DEL #1{$\big#1 \bigg#1$ & \texttt{\string#1}}
\def\AMSSYM #1{$#1$ & \texttt{\string#1}}
% These symbols rely on `amsmath' package
\def\AMSM #1{$#1$ & \textcolor{blue}{\texttt{\string#1}}}
\def\AMSACC#1#2{$#1{#2}$ & \textcolor{blue}{\texttt{\string#1}}\marg*{#2}}
\def\AMSBIG #1{$#1$ & $\displaystyle #1$ & \textcolor{blue}{\texttt{\string#1}}}
\def\SC #1{#1 & \texttt{\string#1}}
\newenvironment{symbols}[1]%
{\small\def\arraystretch{1.1}
\begin{tabular}{@{}#1@{}}}%
{\end{tabular}}
\clearpage
\section{符号表}\label{sec:math-tables}
\pkgindex{latexsym}
有几个注意事项:
\begin{enumerate}
\item \textcolor{blue}{蓝色}的命令依赖 \pkg{amsmath} 宏包(非 \pkg{amssymb} 宏包);
\item 带有角标\lsym 的符号命令依赖 \pkg{latexsym} 宏包。
\end{enumerate}
\subsection{\LaTeX\ 普通符号}
\symindex{dag,ddag,P,S,copyright,pounds}
\begin{table}[htp]
\centering
\caption{文本/数学模式通用符号。}\label{tbl:general-syms}
\begin{quote}\footnotesize%
这些符号可用于文本和数学模式。
\end{quote}
\begin{symbols}{*4{cl}}
\hline
\SC{\{} & \SC{\}} & \SC{\$} & \SC{\%} \\
\SC{\dag} & \SC{\S} & \SC{\copyright} & \SC{\dots} \\
\SC{\ddag} & \SC{\P} & \SC{\pounds} & \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{希腊字母。} \label{tbl:math-greek}
\begin{quote}\footnotesize%
\cmd{Alpha},\cmd{Beta} 等希腊字母符号不存在,因为它们和拉丁字母 A,B 等一模一样;
小写字母里也不存在 \cmd{omicron},直接用拉丁字母 $o$ 代替。
\end{quote}
\begin{symbols}{*4{cl}}
\hline
\SYM{\alpha} & \SYM{\theta} & \SYM{o} & \SYM{\upsilon} \\
\SYM{\beta} & \SYM{\vartheta} & \SYM{\pi} & \SYM{\phi} \\
\SYM{\gamma} & \SYM{\iota} & \SYM{\varpi} & \SYM{\varphi} \\
\SYM{\delta} & \SYM{\kappa} & \SYM{\rho} & \SYM{\chi} \\
\SYM{\epsilon} & \SYM{\lambda} & \SYM{\varrho} & \SYM{\psi} \\
\SYM{\varepsilon}& \SYM{\mu} & \SYM{\sigma} & \SYM{\omega} \\
\SYM{\zeta} & \SYM{\nu} & \SYM{\varsigma} & \\
\SYM{\eta} & \SYM{\xi} & \SYM{\tau} & \\[1ex]
\SYM{\Gamma} & \SYM{\Lambda} & \SYM{\Sigma} & \SYM{\Psi} \\
\SYM{\Delta} & \SYM{\Xi} & \SYM{\Upsilon} & \SYM{\Omega} \\
\SYM{\Theta} & \SYM{\Pi} & \SYM{\Phi} & \\[1ex]
\AMSM{\varGamma} & \AMSM{\varLambda}& \AMSM{\varSigma} & \AMSM{\varPsi} \\
\AMSM{\varDelta} & \AMSM{\varXi} & \AMSM{\varUpsilon}& \AMSM{\varOmega} \\
\AMSM{\varTheta} & \AMSM{\varPi} & \AMSM{\varPhi} & \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{二元关系符。} \label{tbl:math-rel}
\begin{quote}\footnotesize%
所有的二元关系符都可以加 \cmd{not} 前缀得到相反意义的关系符,例如 \cmd{not}\texttt{=} 就得到不等号(同 \cmd{ne})。
\end{quote}
\begin{symbols}{*3{cl}}
\hline
\SYM{<} & \SYM{>} & \SYM{=} \\
\SYM{\leq} or \cmd{le} & \SYM{\geq} or \cmd{ge} & \SYM{\equiv} \\
\SYM{\ll} & \SYM{\gg} & \SYM{\doteq} \\
\SYM{\prec} & \SYM{\succ} & \SYM{\sim} \\
\SYM{\preceq} & \SYM{\succeq} & \SYM{\simeq} \\
\SYM{\subset} & \SYM{\supset} & \SYM{\approx} \\
\SYM{\subseteq} & \SYM{\supseteq} & \SYM{\cong} \\
\LSYM{\sqsubset} & \LSYM{\sqsupset} & \LSYM{\Join} \\
\SYM{\sqsubseteq} & \SYM{\sqsupseteq} & \SYM{\bowtie} \\
\SYM{\in} & \SYM{\ni}, \cmd{owns} & \SYM{\propto} \\
\SYM{\vdash} & \SYM{\dashv} & \SYM{\models} \\
\SYM{\mid} & \SYM{\parallel} & \SYM{\perp} \\
\SYM{\smile} & \SYM{\frown} & \SYM{\asymp} \\
\SYM{:} & \SYM{\notin} & \SYM{\neq} or \cmd{ne} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{二元运算符。}\label{tbl:math-op}
\begin{symbols}{*3{cl}}
\hline
\SYM{+} & \SYM{-} & \\
\SYM{\pm} & \SYM{\mp} & \SYM{\triangleleft} \\
\SYM{\cdot} & \SYM{\div} & \SYM{\triangleright}\\
\SYM{\times} & \SYM{\setminus} & \SYM{\star} \\
\SYM{\cup} & \SYM{\cap} & \SYM{\ast} \\
\SYM{\sqcup} & \SYM{\sqcap} & \SYM{\circ} \\
\SYM{\vee}, \cmd{lor}& \SYM{\wedge},\cmd{land} & \SYM{\bullet} \\
\SYM{\oplus} & \SYM{\ominus} & \SYM{\diamond} \\
\SYM{\odot} & \SYM{\oslash} & \SYM{\uplus} \\
\SYM{\otimes} & \SYM{\bigcirc} & \SYM{\amalg} \\
\SYM{\bigtriangleup} &\SYM{\bigtriangledown}& \SYM{\dagger} \\
\LSYM{\lhd} & \LSYM{\rhd} & \SYM{\ddagger} \\
\LSYM{\unlhd} & \LSYM{\unrhd} & \SYM{\wr} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{巨算符。}\label{tbl:math-bigop}
\def\arraystretch{2.2}
\begin{symbols}{*3{ccl}}
\hline
\BIGSYM{\sum} & \BIGSYM{\bigcup} & \BIGSYM{\bigvee} \\
\BIGSYM{\prod} & \BIGSYM{\bigcap} & \BIGSYM{\bigwedge} \\
\BIGSYM{\coprod} & \BIGSYM{\bigsqcup} & \BIGSYM{\biguplus} \\
\BIGSYM{\int} & \BIGSYM{\oint} & \BIGSYM{\bigodot} \\
\BIGSYM{\bigoplus} & \BIGSYM{\bigotimes} & \\
\AMSBIG{\iint} & \AMSBIG{\iiint} & \AMSBIG{\iiiint} \\
\AMSBIG{\idotsint} & & \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{数学重音符号。}\label{tbl:math-accents}
\begin{quote}\footnotesize%
最后一个 \cmd{wideparen} 依赖 \pkg{yhmath} 宏包。
\end{quote}
\begin{symbols}{*3{cl}}
\hline
\ACC{\hat}{a} & \ACC{\check}{a} & \ACC{\tilde}{a} \\
\ACC{\acute}{a} & \ACC{\grave}{a} & \ACC{\breve}{a} \\
\ACC{\bar}{a} & \ACC{\vec}{a} & \ACC{\mathring}{a} \\
\ACC{\dot}{a} & \ACC{\ddot}{a} & \AMSACC{\dddot}{a} \\
\AMSACC{\ddddot}{a} \\[1ex]
\ACC{\widehat}{AAA} & \ACC{\widetilde}{AAA} & \ACC{\wideparen}{AAA} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{箭头。} \label{tbl:math-arrows}
\begin{symbols}{*2{cl}}
\hline
\SYM{\leftarrow} or \cmd{gets} & \SYM{\longleftarrow} \\
\SYM{\rightarrow} or \cmd{to} & \SYM{\longrightarrow} \\
\SYM{\leftrightarrow} & \SYM{\longleftrightarrow} \\
\SYM{\Leftarrow} & \SYM{\Longleftarrow} \\
\SYM{\Rightarrow} & \SYM{\Longrightarrow} \\
\SYM{\Leftrightarrow} & \SYM{\Longleftrightarrow}\\
\SYM{\mapsto} & \SYM{\longmapsto} \\
\SYM{\hookleftarrow} & \SYM{\hookrightarrow} \\
\SYM{\leftharpoonup} & \SYM{\rightharpoonup} \\
\SYM{\leftharpoondown} & \SYM{\rightharpoondown} \\
\SYM{\rightleftharpoons} & \SYM{\iff} \\
\SYM{\uparrow} & \SYM{\downarrow} \\
\SYM{\updownarrow} & \SYM{\Uparrow} \\
\SYM{\Downarrow} & \SYM{\Updownarrow} \\
\SYM{\nearrow} & \SYM{\searrow} \\
\SYM{\swarrow} & \SYM{\nwarrow} \\
\LSYM{\leadsto} & \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{作为重音的箭头符号。} \label{tbl:math-arrow-accents}
\begin{symbols}{*2{cl}}
\hline
\ACC{\overrightarrow}{AB} & \AMSACC{\underrightarrow}{AB} \\
\ACC{\overleftarrow}{AB} & \AMSACC{\underleftarrow}{AB} \\
\AMSACC{\overleftrightarrow}{AB} & \AMSACC{\underleftrightarrow}{AB} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{定界符。}\label{tbl:math-delims}
\begin{symbols}{*3{cl}}
\hline
\SYM{(} & \SYM{)} & \SYM{\uparrow} \\
\SYM{[} or \cmd{lbrack} & \SYM{]} or \cmd{rbrack} & \SYM{\downarrow} \\
\SYM{\{} or \cmd{lbrace} & \SYM{\}} or \cmd{rbrace} & \SYM{\updownarrow} \\
\SYM{\langle} & \SYM{\rangle} & \SYM{\Uparrow} \\
\SYM{|} or \cmd{vert} & \SYM{\|} or \cmd{Vert} & \SYM{\Downarrow} \\
\SYM{/} & \SYM{\backslash} & \SYM{\Updownarrow} \\
\SYM{\lfloor} & \SYM{\rfloor} & \\
\SYM{\rceil} & \SYM{\lceil} & & \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{用于行间公式的大定界符。}\label{tbl:math-large-delims}
\def\arraystretch{1.8}
\begin{symbols}{*3{cl}}
\hline
\DEL{\lgroup} & \DEL{\rgroup} & \DEL{\lmoustache} \\
\DEL{\arrowvert} & \DEL{\Arrowvert} & \DEL{\bracevert} \\
\DEL{\rmoustache} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{其他符号。}\label{tbl:math-misc}
\begin{symbols}{*4{cl}}
\hline
\SYM{\dots} & \SYM{\cdots} & \SYM{\vdots} & \SYM{\ddots} \\
\SYM{\hbar} & \SYM{\imath} & \SYM{\jmath} & \SYM{\ell} \\
\SYM{\Re} & \SYM{\Im} & \SYM{\aleph} & \SYM{\wp} \\
\SYM{\forall} & \SYM{\exists} & \LSYM{\mho} & \SYM{\partial} \\
\SYM{'} & \SYM{\prime} & \SYM{\emptyset} & \SYM{\infty} \\
\SYM{\nabla} & \SYM{\triangle} & \LSYM{\Box} & \LSYM{\Diamond} \\
\SYM{\bot} & \SYM{\top} & \SYM{\angle} & \SYM{\surd} \\
\SYM{\diamondsuit} & \SYM{\heartsuit} & \SYM{\clubsuit} & \SYM{\spadesuit} \\
\SYM{\neg} or \cmd{lnot} & \SYM{\flat} & \SYM{\natural} & \SYM{\sharp} \\
\hline
\end{symbols}
\end{table}
\clearpage
\subsection{\AmS\ 符号}
本小节所有符号依赖 \pkg{amssymb} 宏包。
\begin{table}[htp]
\centering
\caption{\AmS\ 希腊字母和希伯来字母。} \label{tbl:ams-greek-hebrew}
\begin{symbols}{*5{cl}}
\hline
\AMSSYM{\digamma} &\AMSSYM{\varkappa} & \AMSSYM{\beth} &\AMSSYM{\gimel} & \AMSSYM{\daleth}\\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{\AmS\ 二元关系符。} \label{tbl:ams-rel}
\begin{symbols}{*3{cl}}
\hline
\AMSSYM{\lessdot} & \AMSSYM{\gtrdot} & \AMSSYM{\doteqdot} \\
\AMSSYM{\leqslant} & \AMSSYM{\geqslant} & \AMSSYM{\risingdotseq} \\
\AMSSYM{\eqslantless} & \AMSSYM{\eqslantgtr} & \AMSSYM{\fallingdotseq} \\
\AMSSYM{\leqq} & \AMSSYM{\geqq} & \AMSSYM{\eqcirc} \\
\AMSSYM{\lll} or \cmd{llless}& \AMSSYM{\ggg} & \AMSSYM{\circeq} \\
\AMSSYM{\lesssim} & \AMSSYM{\gtrsim} & \AMSSYM{\triangleq} \\
\AMSSYM{\lessapprox} & \AMSSYM{\gtrapprox} & \AMSSYM{\bumpeq} \\
\AMSSYM{\lessgtr} & \AMSSYM{\gtrless} & \AMSSYM{\Bumpeq} \\
\AMSSYM{\lesseqgtr} & \AMSSYM{\gtreqless} & \AMSSYM{\thicksim} \\
\AMSSYM{\lesseqqgtr} & \AMSSYM{\gtreqqless} & \AMSSYM{\thickapprox} \\
\AMSSYM{\preccurlyeq} & \AMSSYM{\succcurlyeq} & \AMSSYM{\approxeq} \\
\AMSSYM{\curlyeqprec} & \AMSSYM{\curlyeqsucc} & \AMSSYM{\backsim} \\
\AMSSYM{\precsim} & \AMSSYM{\succsim} & \AMSSYM{\backsimeq} \\
\AMSSYM{\precapprox} & \AMSSYM{\succapprox} & \AMSSYM{\vDash} \\
\AMSSYM{\subseteqq} & \AMSSYM{\supseteqq} & \AMSSYM{\Vdash} \\
\AMSSYM{\shortparallel} & \AMSSYM{\Supset} & \AMSSYM{\Vvdash} \\
\AMSSYM{\blacktriangleleft} & \AMSSYM{\sqsupset} & \AMSSYM{\backepsilon} \\
\AMSSYM{\vartriangleright} & \AMSSYM{\because} & \AMSSYM{\varpropto} \\
\AMSSYM{\blacktriangleright}& \AMSSYM{\Subset} & \AMSSYM{\between} \\
\AMSSYM{\trianglerighteq} & \AMSSYM{\smallfrown} & \AMSSYM{\pitchfork} \\
\AMSSYM{\vartriangleleft} & \AMSSYM{\shortmid} & \AMSSYM{\smallsmile} \\
\AMSSYM{\trianglelefteq} & \AMSSYM{\therefore} & \AMSSYM{\sqsubset} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{\AmS\ 二元运算符。} \label{tbl:ams-op}
\begin{symbols}{*3{cl}}
\hline
\AMSSYM{\dotplus} & \AMSSYM{\centerdot} & \\
\AMSSYM{\ltimes} & \AMSSYM{\rtimes} & \AMSSYM{\divideontimes} \\
\AMSSYM{\doublecup} & \AMSSYM{\doublecap} & \AMSSYM{\smallsetminus} \\
\AMSSYM{\veebar} & \AMSSYM{\barwedge} & \AMSSYM{\doublebarwedge}\\
\AMSSYM{\boxplus} & \AMSSYM{\boxminus} & \AMSSYM{\circleddash} \\
\AMSSYM{\boxtimes} & \AMSSYM{\boxdot} & \AMSSYM{\circledcirc} \\
\AMSSYM{\intercal} & \AMSSYM{\circledast} & \AMSSYM{\rightthreetimes} \\
\AMSSYM{\curlyvee} & \AMSSYM{\curlywedge} & \AMSSYM{\leftthreetimes} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{\AmS\ 箭头。}\label{tbl:ams-arrows}
\begin{symbols}{*2{cl}}
\hline
\AMSSYM{\dashleftarrow} & \AMSSYM{\dashrightarrow} \\
\AMSSYM{\leftleftarrows} & \AMSSYM{\rightrightarrows} \\
\AMSSYM{\leftrightarrows} & \AMSSYM{\rightleftarrows} \\
\AMSSYM{\Lleftarrow} & \AMSSYM{\Rrightarrow} \\
\AMSSYM{\twoheadleftarrow} & \AMSSYM{\twoheadrightarrow} \\
\AMSSYM{\leftarrowtail} & \AMSSYM{\rightarrowtail} \\
\AMSSYM{\leftrightharpoons} & \AMSSYM{\rightleftharpoons} \\
\AMSSYM{\Lsh} & \AMSSYM{\Rsh} \\
\AMSSYM{\looparrowleft} & \AMSSYM{\looparrowright} \\
\AMSSYM{\curvearrowleft} & \AMSSYM{\curvearrowright} \\
\AMSSYM{\circlearrowleft} & \AMSSYM{\circlearrowright} \\
\AMSSYM{\multimap} & \AMSSYM{\upuparrows} \\
\AMSSYM{\downdownarrows} & \AMSSYM{\upharpoonleft} \\
\AMSSYM{\upharpoonright} & \AMSSYM{\downharpoonright} \\
\AMSSYM{\rightsquigarrow} & \AMSSYM{\leftrightsquigarrow}\\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{\AmS\ 反义二元关系符和箭头。}\label{tbl:ams-negative}
\begin{symbols}{*3{cl}}
\hline
\AMSSYM{\nless} & \AMSSYM{\ngtr} & \AMSSYM{\varsubsetneqq} \\
\AMSSYM{\lneq} & \AMSSYM{\gneq} & \AMSSYM{\varsupsetneqq} \\
\AMSSYM{\nleq} & \AMSSYM{\ngeq} & \AMSSYM{\nsubseteqq} \\
\AMSSYM{\nleqslant} & \AMSSYM{\ngeqslant} & \AMSSYM{\nsupseteqq} \\
\AMSSYM{\lneqq} & \AMSSYM{\gneqq} & \AMSSYM{\nmid} \\
\AMSSYM{\lvertneqq} & \AMSSYM{\gvertneqq} & \AMSSYM{\nparallel} \\
\AMSSYM{\nleqq} & \AMSSYM{\ngeqq} & \AMSSYM{\nshortmid} \\
\AMSSYM{\lnsim} & \AMSSYM{\gnsim} & \AMSSYM{\nshortparallel} \\
\AMSSYM{\lnapprox} & \AMSSYM{\gnapprox} & \AMSSYM{\nsim} \\
\AMSSYM{\nprec} & \AMSSYM{\nsucc} & \AMSSYM{\ncong} \\
\AMSSYM{\npreceq} & \AMSSYM{\nsucceq} & \AMSSYM{\nvdash} \\
\AMSSYM{\precneqq} & \AMSSYM{\succneqq} & \AMSSYM{\nvDash} \\
\AMSSYM{\precnsim} & \AMSSYM{\succnsim} & \AMSSYM{\nVdash} \\
\AMSSYM{\precnapprox} & \AMSSYM{\succnapprox} & \AMSSYM{\nVDash} \\
\AMSSYM{\subsetneq} & \AMSSYM{\supsetneq} & \AMSSYM{\ntriangleleft} \\
\AMSSYM{\varsubsetneq} & \AMSSYM{\varsupsetneq} & \AMSSYM{\ntriangleright} \\
\AMSSYM{\nsubseteq} & \AMSSYM{\nsupseteq} & \AMSSYM{\ntrianglelefteq}\\
\AMSSYM{\subsetneqq} & \AMSSYM{\supsetneqq} &\AMSSYM{\ntrianglerighteq}\\[0.5ex]
\AMSSYM{\nleftarrow} & \AMSSYM{\nrightarrow} & \AMSSYM{\nleftrightarrow}\\
\AMSSYM{\nLeftarrow} & \AMSSYM{\nRightarrow} & \AMSSYM{\nLeftrightarrow} \\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{\AmS\ 定界符}\label{tbl:ams-delims}
\begin{symbols}{*4{cl}}
\hline
\AMSSYM{\ulcorner}&\AMSSYM{\urcorner}&\AMSSYM{\llcorner}&\AMSSYM{\lrcorner}\\
\AMSSYM{\lvert} &\AMSSYM{\rvert} &\AMSSYM{\lVert} &\AMSSYM{\rVert}\\
\hline
\end{symbols}
\end{table}
\begin{table}[htp]
\centering
\caption{\AmS\ 其它符号。}\label{tbl:ams-misc}
\begin{symbols}{*3{cl}}
\hline
\AMSSYM{\hbar} & \AMSSYM{\hslash} & \AMSSYM{\Bbbk} \\
\AMSSYM{\square} & \AMSSYM{\blacksquare} & \AMSSYM{\circledS} \\
\AMSSYM{\vartriangle} & \AMSSYM{\blacktriangle} & \AMSSYM{\complement} \\
\AMSSYM{\triangledown} & \AMSSYM{\blacktriangledown}& \AMSSYM{\Game} \\
\AMSSYM{\lozenge} & \AMSSYM{\blacklozenge} & \AMSSYM{\bigstar} \\
\AMSSYM{\angle} & \AMSSYM{\measuredangle} & \\
\AMSSYM{\diagup} & \AMSSYM{\diagdown} & \AMSSYM{\backprime} \\
\AMSSYM{\nexists} & \AMSSYM{\Finv} & \AMSSYM{\varnothing} \\
\AMSSYM{\eth} & \AMSSYM{\sphericalangle} & \AMSSYM{\mho} \\
\hline
\end{symbols}
\end{table}
\endinput
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