% 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{quote}\footnotesize% \pkg{amsmath} 还定义了 \amscmd{lvert}、\amscmd{rvert} 和 \amscmd{lVert}、\amscmd{rVert}， 分别作为 \cmd{vert} 和 \cmd{Vert} 对应的开符号（左侧）和闭符号（右侧）的命令。 \end{quote} \begin{symbols}{*4{cl}} \hline \SYM{(} & \SYM{)} & \SYM{\uparrow} & \SYM{\downarrow} \\ \SYM{[} or \cmd{lbrack} & \SYM{]} or \cmd{rbrack} & \SYM{\Uparrow} & \SYM{\Downarrow} \\ \SYM{\{} or \cmd{lbrace} & \SYM{\}} or \cmd{rbrace} & \SYM{\updownarrow} & \SYM{\Updownarrow} \\ \SYM{|} or \cmd{vert} & \SYM{\|} or \cmd{Vert} & \SYM{\lceil} & \SYM{\rceil} \\ \SYM{\langle} & \SYM{\rangle} & \SYM{\lfloor} & \SYM{\rfloor} \\ \SYM{/} & \SYM{\backslash} \\ \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{\hologo{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{\hologo{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{\hologo{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{\hologo{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} \\ \AMSSYM{\nleftarrow} & \AMSSYM{\nrightarrow} & \AMSSYM{\nleftrightarrow} \\ \AMSSYM{\nLeftarrow} & \AMSSYM{\nRightarrow} & \AMSSYM{\nLeftrightarrow} \\ \hline \end{symbols} \end{table} \begin{table}[htp] \centering \caption{\hologo{AmS} 定界符}\label{tbl:ams-delims} \begin{symbols}{*4{cl}} \hline \AMSSYM{\ulcorner} & \AMSSYM{\urcorner} & \AMSSYM{\llcorner} & \AMSSYM{\lrcorner} \\ \hline \end{symbols} \end{table} \begin{table}[htp] \centering \caption{\hologo{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