\documentclass[twocolumn]{aastex3} \newcommand\aastex{AAS\TeX}% \pagestyle{myheadings} \markright{\aastex, AMS math, and \LaTeX\ symbols}% \begin{document} \begin{table} \caption{Additional \aastex\ symbols} \begin{center} \tabcolsep5pt \begin{tabular}{@{}ll@{\hspace*{1em}}ll@{}} $\lesssim$ & \verb"\lesssim", \verb"\la" & $\gtrsim$ & \verb"\gtrsim", \verb"\ga" \\ \micron & \verb"\micron" & \sbond & \verb"\sbond" \\ \dbond & \verb"\dbond" & \tbond & \verb"\tbond" \\ $\sun$ & \verb"\sun" & $\earth$ & \verb"\earth" \\ \diameter & \verb"\diameter" & \\ \arcdeg & \verb"\arcdeg", \verb"\degr" & \sq & \verb"\sq" \\ \arcmin & \verb"\arcmin" & \arcsec & \verb"\arcsec" \\ \fd & \verb"\fd" & \fh & \verb"\fh" \\ \fm & \verb"\fm" & \fs & \verb"\fs" \\ \fdg & \verb"\fdg" & \farcm & \verb"\farcm" \\ \farcs & \verb"\farcs" & \fp & \verb"\fp" \\ \onehalf & \verb"\onehalf" & \ubvr & \verb"\ubvr" \\ \onethird & \verb"\onethird" & \ub & \verb"\ub" \\ \twothirds & \verb"\twothirds" & \bv & \verb"\bv" \\ \onequarter & \verb"\onequarter" & \vr & \verb"\vr" \\ \threequarters & \verb"\threequarters" & \ur & \verb"\ur" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Text-mode accents} \begin{center} \begin{tabular}{*{2}{ll@{\hspace{4em}}}ll} \`{o} & \verb"\`{o}" & \={o} & \verb"\={o}" & \t{oo} & \verb"\t{oo}" \\ \'{o} & \verb"\'{o}" & \.{o} & \verb"\.{o}" & \c{o} & \verb"\c{o}" \\ \^{o} & \verb"\^{o}" & \u{o} & \verb"\u{o}" & \d{o} & \verb"\d{o}" \\ \"{o} & \verb#\"{o}# & \v{o} & \verb"\v{o}" & \b{o} & \verb"\b{o}" \\ \~{o} & \verb"\~{o}" & \H{o} & \verb"\H{o}" & & \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{National symbols} \begin{center} \begin{tabular}{*{2}{ll@{\hspace{4em}}}ll} \oe & \verb"\oe" & \aa & \verb"\aa" & \l & \verb"\l" \\ \OE & \verb"\OE" & \AA & \verb"\AA" & \L & \verb"\L" \\ \ae & \verb"\ae" & \o & \verb"\o" & \ss & \verb"\ss" \\ \AE & \verb"\AE" & \O & \verb"\O" & & \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Math-mode accents} \begin{center} \begin{tabular}{ll@{\hspace{4em}}ll} $\hat{a}$ & \verb"\hat{a}" & $\dot{a}$ & \verb"\dot{a}" \\ $\check{a}$ & \verb"\check{a}" & $\ddot{a}$ & \verb"\ddot{a}" \\ $\tilde{a}$ & \verb"\tilde{a}" & $\breve{a}$ & \verb"\breve{a}" \\ $\acute{a}$ & \verb"\acute{a}" & $\bar{a}$ & \verb"\bar{a}" \\ $\grave{a}$ & \verb"\grave{a}" & $\vec{a}$ & \verb"\vec{a}" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Greek and Hebrew letters (math mode)} \begin{center} \begin{tabular}{cl@{\hspace{3em}}cl} $\alpha$ & \verb"\alpha" & $\nu$ & \verb"\nu" \\ $\beta$ & \verb"\beta" & $\xi$ & \verb"\xi" \\ $\gamma$ & \verb"\gamma" & $o$ & \verb"o" \\ $\delta$ & \verb"\delta" & $\pi$ & \verb"\pi" \\ $\epsilon$ & \verb"\epsilon" & $\rho$ & \verb"\rho" \\ $\zeta$ & \verb"\zeta" & $\sigma$ & \verb"\sigma" \\ $\eta$ & \verb"\eta" & $\tau$ & \verb"\tau" \\ $\theta$ & \verb"\theta" & $\upsilon$ & \verb"\upsilon" \\ $\iota$ & \verb"\iota" & $\phi$ & \verb"\phi" \\ $\kappa$ & \verb"\kappa" & $\chi$ & \verb"\chi" \\ $\lambda$ & \verb"\lambda" & $\psi$ & \verb"\psi" \\ $\mu$ & \verb"\mu" & $\omega$ & \verb"\omega" \\ $\digamma$ & \verb"\digamma" & $\varkappa$ & \verb"\varkappa" \\ $\varepsilon$ & \verb"\varepsilon" & $\varsigma$ & \verb"\varsigma" \\ $\vartheta$ & \verb"\vartheta" & $\varphi$ & \verb"\varphi" \\ $\varrho$ & \verb"\varrho" & & \\ $\Gamma$ & \verb"\Gamma" & $\Sigma$ & \verb"\Sigma" \\ $\Delta$ & \verb"\Delta" & $\Upsilon$ & \verb"\Upsilon" \\ $\Theta$ & \verb"\Theta" & $\Phi$ & \verb"\Phi" \\ $\Lambda$ & \verb"\Lambda" & $\Psi$ & \verb"\Psi" \\ $\Xi$ & \verb"\Xi" & $\Omega$ & \verb"\Omega" \\ $\Pi$ & \verb"\Pi" & & \\ $\aleph$ & \verb"\aleph" & $\beth$ & \verb"\beth" \\ $\gimel$ & \verb"\gimel" & $\daleth$ & \verb"\daleth" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Binary operators (math mode)} \begin{center} \begin{tabular}{cl@{\hspace{3em}}cl} $\pm$ & \verb"\pm" & $\cap$ & \verb"\cap" \\ $\mp$ & \verb"\mp" & $\cup$ & \verb"\cup" \\ $\setminus$ & \verb"\setminus" & $\uplus$ & \verb"\uplus" \\ $\cdot$ & \verb"\cdot" & $\sqcap$ & \verb"\sqcap" \\ $\times$ & \verb"\times" & $\sqcup$ & \verb"\sqcup" \\ $\ast$ & \verb"\ast" & $\triangleleft$ & \verb"\triangleleft" \\ $\star$ & \verb"\star" & $\triangleright$ & \verb"\triangleright" \\ $\diamond$ & \verb"\diamond" & $\wr$ & \verb"\wr" \\ $\circ$ & \verb"\circ" & $\bigcirc$ & \verb"\bigcirc" \\ $\bullet$ & \verb"\bullet" & $\bigtriangleup$ & \verb"\bigtriangleup" \\ $\div$ & \verb"\div" & $\bigtriangledown$ & \verb"\bigtriangledown" \\ $\lhd$ & \verb"\lhd" & $\rhd$ & \verb"\rhd" \\%FIXME $\vee$ & \verb"\vee" & $\odot$ & \verb"\odot" \\ $\wedge$ & \verb"\wedge" & $\dagger$ & \verb"\dagger" \\ $\oplus$ & \verb"\oplus" & $\ddagger$ & \verb"\ddagger" \\ $\ominus$ & \verb"\ominus" & $\amalg$ & \verb"\amalg" \\ $\otimes$ & \verb"\otimes" & $\unlhd$ & \verb"\unlhd" \\ $\oslash$ & \verb"\oslash" & $\unrhd$ & \verb"\unrhd" \end{tabular} \end{center} \end{table} \clearpage \begin{table} \caption{AMS binary operators (math mode)} \begin{center} \begin{tabular}{ll@{\hspace{2em}}ll} $\dotplus$ & \verb"\dotplus" & $\ltimes$ & \verb"\ltimes" \\ $\smallsetminus$ & \verb"\smallsetminus" & $\rtimes$ & \verb"\rtimes" \\ $\Cap$ & \verb"\Cap", \verb"\doublecap" & $\leftthreetimes$ & \verb"\leftthreetimes" \\ $\Cup$ & \verb"\Cup", \verb"\doublecup" & $\rightthreetimes$ & \verb"\rightthreetimes" \\ $\barwedge$ & \verb"\barwedge" & $\curlywedge$ & \verb"\curlywedge" \\ $\veebar$ & \verb"\veebar" & $\curlyvee$ & \verb"\curlyvee" \\ $\doublebarwedge$ & \verb"\doublebarwedge" & \\ $\boxminus$ & \verb"\boxminus" & $\circleddash$ & \verb"\circleddash" \\ $\boxtimes$ & \verb"\boxtimes" & $\circledast$ & \verb"\circledast" \\ $\boxdot$ & \verb"\boxdot" & $\circledcirc$ & \verb"\circledcirc" \\ $\boxplus$ & \verb"\boxplus" & $\centerdot$ & \verb"\centerdot" \\ $\divideontimes$ & \verb"\divideontimes" & $\intercal$ & \verb"\intercal" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Miscellaneous symbols} \begin{center} \begin{tabular}{ll@{\hspace{4em}}ll} \dag & \verb"\dag" & \S & \verb"\S" \\ \copyright & \verb"\copyright"& \ddag & \verb"\ddag"\\ \P & \verb"\P" & \pounds & \verb"\pounds" \\ \# & \verb"\#" & \$ & \verb"\$"\\ \% & \verb"\%" & \& & \verb"\&" \\ \_ & \verb"\_" & \{ & \verb"\{" \\ \} & \verb"\}" & & \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Miscellaneous symbols (math mode)} \begin{center} \begin{tabular}{cl@{\hspace{3em}}cl} $\aleph$ & \verb"\aleph" & $\prime$ & \verb"\prime" \\ $\hbar$ & \verb"\hbar" & $\emptyset$ & \verb"\emptyset" \\ $\imath$ & \verb"\imath" & $\nabla$ & \verb"\nabla" \\ $\jmath$ & \verb"\jmath" & $\surd$ & \verb"\surd" \\ $\ell$ & \verb"\ell" & $\top$ & \verb"\top" \\ $\wp$ & \verb"\wp" & $\bot$ & \verb"\bot" \\ $\Re$ & \verb"\Re" & $\|$ & \verb"\|" \\ $\Im$ & \verb"\Im" & $\angle$ & \verb"\angle" \\ $\partial$ & \verb"\partial" & $\triangle$ & \verb"\triangle" \\ $\infty$ & \verb"\infty" & $\backslash$ & \verb"\backslash" \\ $\Box$ & \verb"\Box" & $\Diamond$ & \verb"\Diamond" \\ $\forall$ & \verb"\forall" & $\sharp$ & \verb"\sharp" \\ $\exists$ & \verb"\exists" & $\clubsuit$ & \verb"\clubsuit" \\ $\neg$ & \verb"\neg" & $\diamondsuit$ & \verb"\diamondsuit" \\ $\flat$ & \verb"\flat" & $\heartsuit$ & \verb"\heartsuit" \\ $\natural$ & \verb"\natural" & $\spadesuit$ & \verb"\spadesuit" \\ $\mho$ & \verb"\mho" & & \end{tabular} \end{center} \end{table} \begin{table} \caption{AMS miscellaneous symbols (math mode)} \begin{center} \begin{tabular}{ll@{\hspace{2em}}ll} $\hbar$ & \verb"\hbar" & $\backprime$ & \verb"\backprime" \\ $\hslash$ & \verb"\hslash" & $\varnothing$ & \verb"\varnothing" \\ $\vartriangle$ & \verb"\vartriangle" & $\blacktriangle$ & \verb"\blacktriangle" \\ $\triangledown$ & \verb"\triangledown" & $\blacktriangledown$ & \verb"\blacktriangledown" \\ $\square$ & \verb"\square" & $\blacksquare$ & \verb"\blacksquare" \\ $\lozenge$ & \verb"\lozenge" & $\blacklozenge$ & \verb"\blacklozenge" \\ $\circledS$ & \verb"\circledS" & $\bigstar$ & \verb"\bigstar" \\ $\angle$ & \verb"\angle" & $\sphericalangle$ & \verb"\sphericalangle" \\ $\measuredangle$ & \verb"\measuredangle" & \\ $\nexists$ & \verb"\nexists" & $\complement$ & \verb"\complement" \\ $\mho$ & \verb"\mho" & $\eth$ & \verb"\eth" \\ $\Finv$ & \verb"\Finv" & $\diagup$ & \verb"\diagup" \\ $\Game$ & \verb"\Game" & $\diagdown$ & \verb"\diagdown" \\ $\Bbbk$ & \verb"\Bbbk" & $\restriction$ & \verb"\restriction" \\ \end{tabular} \end{center} \end{table} \begin{table} \tabcolsep1pt \caption{Arrows (math mode)} \begin{center} \begin{tabular}{clcl} $\leftarrow$ & \verb"\leftarrow" & $\longleftarrow$ & \verb"\longleftarrow" \\ $\Leftarrow$ & \verb"\Leftarrow" & $\Longleftarrow$ & \verb"\Longleftarrow" \\ $\rightarrow$ & \verb"\rightarrow" & $\longrightarrow$ & \verb"\longrightarrow" \\ $\Rightarrow$ & \verb"\Rightarrow" & $\Longrightarrow$ & \verb"\Longrightarrow" \\ $\leftrightarrow$ & \verb"\leftrightarrow" & $\longleftrightarrow$ & \verb"\longleftrightarrow" \\ $\Leftrightarrow$ & \verb"\Leftrightarrow" & $\Longleftrightarrow$ & \verb"\Longleftrightarrow" \\ $\mapsto$ & \verb"\mapsto" & $\longmapsto$ & \verb"\longmapsto" \\ $\hookleftarrow$ & \verb"\hookleftarrow" & $\hookrightarrow$ & \verb"\hookrightarrow" \\ $\leftharpoonup$ & \verb"\leftharpoonup" & $\rightharpoonup$ & \verb"\rightharpoonup" \\ $\leftharpoondown$ & \verb"\leftharpoondown" & $\rightharpoondown$ & \verb"\rightharpoondown" \\ $\rightleftharpoons$ & \verb"\rightleftharpoons" & $\leadsto$ & \verb"\leadsto" \\ $\uparrow$ & \verb"\uparrow" & $\Updownarrow$ & \verb"\Updownarrow" \\ $\Uparrow$ & \verb"\Uparrow" & $\nearrow$ & \verb"\nearrow" \\ $\downarrow$ & \verb"\downarrow" & $\searrow$ & \verb"\searrow" \\ $\Downarrow$ & \verb"\Downarrow" & $\swarrow$ & \verb"\swarrow" \\ $\updownarrow$ & \verb"\updownarrow" & $\nwarrow$ & \verb"\nwarrow" \end{tabular} \end{center} \end{table} \begin{table} \tabcolsep1pt \caption{AMS arrows (math mode)} \begin{center} \begin{tabular}{llll} $\dashleftarrow$ & \verb"\dashleftarrow" & $\dashrightarrow$ & \verb"\dashrightarrow" \\ $\leftleftarrows$ & \verb"\leftleftarrows" & $\rightrightarrows$ & \verb"\rightrightarrows" \\ $\leftrightarrows$ & \verb"\leftrightarrows" & $\rightleftarrows$ & \verb"\rightleftarrows" \\ $\Lleftarrow$ & \verb"\Lleftarrow" & $\Rrightarrow$ & \verb"\Rrightarrow" \\ $\twoheadleftarrow$ & \verb"\twoheadleftarrow" & $\twoheadrightarrow$ & \verb"\twoheadrightarrow" \\ $\leftarrowtail$ & \verb"\leftarrowtail" & $\rightarrowtail$ & \verb"\rightarrowtail" \\ $\looparrowleft$ & \verb"\looparrowleft" & $\looparrowright$ & \verb"\looparrowright" \\ $\leftrightharpoons$ & \verb"\leftrightharpoons" & $\rightleftharpoons$ & \verb"\rightleftharpoons" \\ $\curvearrowleft$ & \verb"\curvearrowleft" & $\curvearrowright$ & \verb"\curvearrowright" \\ $\circlearrowleft$ & \verb"\circlearrowleft" & $\circlearrowright$ & \verb"\circlearrowright" \\ $\Lsh$ & \verb"\Lsh" & $\Rsh$ & \verb"\Rsh" \\ $\upuparrows$ & \verb"\upuparrows" & $\downdownarrows$ & \verb"\downdownarrows" \\ $\upharpoonleft$ & \verb"\upharpoonleft" & $\upharpoonright$ & \verb"\upharpoonright" \\ $\downharpoonleft$ & \verb"\downharpoonleft" & $\downharpoonright$ & \verb"\downharpoonright" \\ $\multimap$ & \verb"\multimap" & $\rightsquigarrow$ & \verb"\rightsquigarrow" \\ $\leftrightsquigarrow$ & \verb"\leftrightsquigarrow" & \\ $\nleftarrow$ & \verb"\nleftarrow" & $\nrightarrow$ & \verb"\nrightarrow" \\ $\nLeftarrow$ & \verb"\nLeftarrow" & $\nRightarrow$ & \verb"\nRightarrow" \\ $\nleftrightarrow$ & \verb"\nleftrightarrow" & $\nLeftrightarrow$ & \verb"\nLeftrightarrow" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Relations (math mode)} \begin{center} \begin{tabular}{cl@{\hspace{4em}}cl} $\leq$ & \verb"\leq" & $\geq$ & \verb"\geq" \\ $\prec$ & \verb"\prec" & $\succ$ & \verb"\succ" \\ $\preceq$ & \verb"\preceq" & $\succeq$ & \verb"\succeq" \\ $\ll$ & \verb"\ll" & $\gg$ & \verb"\gg" \\ $\subset$ & \verb"\subset" & $\supset$ & \verb"\supset" \\ $\subseteq$ & \verb"\subseteq" & $\supseteq$ & \verb"\supseteq" \\ $\sqsubset$ & \verb"\sqsubset" & $\sqsupset$ & \verb"\sqsupset" \\ $\sqsubseteq$ & \verb"\sqsubseteq" & $\sqsupseteq$ & \verb"\sqsupseteq" \\ $\in$ & \verb"\in" & $\ni$ & \verb"\ni" \\ $\vdash$ & \verb"\vdash" & $\dashv$ & \verb"\dashv" \\ $\smile$ & \verb"\smile" & $\mid$ & \verb"\mid" \\ $\frown$ & \verb"\frown" & $\parallel$ & \verb"\parallel" \\ $\neq$ & \verb"\neq" & $\perp$ & \verb"\perp" \\ $\equiv$ & \verb"\equiv" & $\cong$ & \verb"\cong" \\ $\sim$ & \verb"\sim" & $\bowtie$ & \verb"\bowtie" \\ $\simeq$ & \verb"\simeq" & $\propto$ & \verb"\propto" \\ $\asymp$ & \verb"\asymp" & $\models$ & \verb"\models" \\ $\approx$ & \verb"\approx" & $\doteq$ & \verb"\doteq" \\ & & $\Join$ & \verb"\Join" \end{tabular} \end{center} \end{table} \begin{table} \tabcolsep1pt \caption{AMS binary relations (math mode)} \begin{center} \begin{tabular}{ll@{\hspace{1em}}ll} $\leqq$ & \verb"\leqq" & $\geqq$ & \verb"\geqq" \\ $\leqslant$ & \verb"\leqslant" & $\geqslant$ & \verb"\geqslant" \\ $\eqslantless$ & \verb"\eqslantless" & $\eqslantgtr$ & \verb"\eqslantgtr" \\ $\lesssim$ & \verb"\lesssim" & $\gtrsim$ & \verb"\gtrsim" \\ $\lessapprox$ & \verb"\lessapprox" & $\gtrapprox$ & \verb"\gtrapprox" \\ $\approxeq$ & \verb"\approxeq" & $\eqsim$ & \verb"\eqsim" \\ $\lessdot$ & \verb"\lessdot" & $\gtrdot$ & \verb"\gtrdot" \\ $\lll$ & \verb"\lll", \verb"\llless" & $\ggg$ & \verb"\ggg", \verb"\gggtr" \\ $\lessgtr$ & \verb"\lessgtr" & $\gtrless$ & \verb"\gtrless" \\ $\lesseqgtr$ & \verb"\lesseqgtr" & $\gtreqless$ & \verb"\gtreqless" \\ $\lesseqqgtr$ & \verb"\lesseqqgtr" & $\gtreqqless$ & \verb"\gtreqqless" \\ $\doteqdot$ & \verb"\doteqdot", \verb"\Doteq" & $\eqcirc$ & \verb"\eqcirc" \\ $\risingdotseq$ & \verb"\risingdotseq" & $\circeq$ & \verb"\circeq" \\ $\fallingdotseq$ & \verb"\fallingdotseq" & $\triangleq$ & \verb"\triangleq" \\ $\backsim$ & \verb"\backsim" & $\thicksim$ & \verb"\thicksim" \\ $\backsimeq$ & \verb"\backsimeq" & $\thickapprox$ & \verb"\thickapprox" \\ $\subseteqq$ & \verb"\subseteqq" & $\supseteqq$ & \verb"\supseteqq" \\ $\Subset$ & \verb"\Subset" & $\Supset$ & \verb"\Supset" \\ $\sqsubset$ & \verb"\sqsubset" & $\sqsupset$ & \verb"\sqsupset" \\ $\preccurlyeq$ & \verb"\preccurlyeq" & $\succcurlyeq$ & \verb"\succcurlyeq" \\ $\curlyeqprec$ & \verb"\curlyeqprec" & $\curlyeqsucc$ & \verb"\curlyeqsucc" \\ $\precsim$ & \verb"\precsim" & $\succsim$ & \verb"\succsim" \\ $\precapprox$ & \verb"\precapprox" & $\succapprox$ & \verb"\succapprox" \\ $\vartriangleleft$ & \verb"\vartriangleleft" & $\vartriangleright$ & \verb"\vartriangleright" \\ $\trianglelefteq$ & \verb"\trianglelefteq" & $\trianglerighteq$ & \verb"\trianglerighteq" \\ $\vDash$ & \verb"\vDash" & $\Vdash$ & \verb"\Vdash" \\ $\Vvdash$ & \verb"\Vvdash" & \\ $\smallsmile$ & \verb"\smallsmile" & $\shortmid$ & \verb"\shortmid" \\ $\smallfrown$ & \verb"\smallfrown" & $\shortparallel$ & \verb"\shortparallel" \\ $\bumpeq$ & \verb"\bumpeq" & $\between$ & \verb"\between" \\ $\Bumpeq$ & \verb"\Bumpeq" & $\pitchfork$ & \verb"\pitchfork" \\ $\varpropto$ & \verb"\varpropto" & $\backepsilon$ & \verb"\backepsilon" \\ $\blacktriangleleft$ & \verb"\blacktriangleleft" & $\blacktriangleright$ & \verb"\blacktriangleright" \\ $\therefore$ & \verb"\therefore" & $\because$ & \verb"\because" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{AMS negated relations (math mode)} \begin{center} \begin{tabular}{ll@{\hspace{2em}}ll} $\nless$ & \verb"\nless" & $\ngtr$ & \verb"\ngtr" \\ $\nleq$ & \verb"\nleq" & $\ngeq$ & \verb"\ngeq" \\ $\nleqslant$ & \verb"\nleqslant" & $\ngeqslant$ & \verb"\ngeqslant" \\ $\nleqq$ & \verb"\nleqq" & $\ngeqq$ & \verb"\ngeqq" \\ $\lneq$ & \verb"\lneq" & $\gneq$ & \verb"\gneq" \\ $\lneqq$ & \verb"\lneqq" & $\gneqq$ & \verb"\gneqq" \\ $\lvertneqq$ & \verb"\lvertneqq" & $\gvertneqq$ & \verb"\gvertneqq" \\ $\lnsim$ & \verb"\lnsim" & $\gnsim$ & \verb"\gnsim" \\ $\lnapprox$ & \verb"\lnapprox" & $\gnapprox$ & \verb"\gnapprox" \\ $\nprec$ & \verb"\nprec" & $\nsucc$ & \verb"\nsucc" \\ $\npreceq$ & \verb"\npreceq" & $\nsucceq$ & \verb"\nsucceq" \\ $\precneqq$ & \verb"\precneqq" & $\succneqq$ & \verb"\succneqq" \\ $\precnsim$ & \verb"\precnsim" & $\succnsim$ & \verb"\succnsim" \\ $\precnapprox$ & \verb"\precnapprox" & $\succnapprox$ & \verb"\succnapprox" \\ $\nsim$ & \verb"\nsim" & $\ncong$ & \verb"\ncong" \\ $\nshortmid$ & \verb"\nshortmid" & $\nshortparallel$ & \verb"\nshortparallel" \\ $\nmid$ & \verb"\nmid" & $\nparallel$ & \verb"\nparallel" \\ $\nvdash$ & \verb"\nvdash" & $\nvDash$ & \verb"\nvDash" \\ $\nVdash$ & \verb"\nVdash" & $\nVDash$ & \verb"\nVDash" \\ $\ntriangleleft$ & \verb"\ntriangleleft" & $\ntriangleright$ & \verb"\ntriangleright" \\ $\ntrianglelefteq$ & \verb"\ntrianglelefteq" & $\ntrianglerighteq$ & \verb"\ntrianglerighteq" \\ $\nsubseteq$ & \verb"\nsubseteq" & $\nsupseteq$ & \verb"\nsupseteq" \\ $\nsubseteqq$ & \verb"\nsubseteqq" & $\nsupseteqq$ & \verb"\nsupseteqq" \\ $\subsetneq$ & \verb"\subsetneq" & $\supsetneq$ & \verb"\supsetneq" \\ $\varsubsetneq$ & \verb"\varsubsetneq" & $\varsupsetneq$ & \verb"\varsupsetneq" \\ $\subsetneqq$ & \verb"\subsetneqq" & $\supsetneqq$ & \verb"\supsetneqq" \\ $\varsubsetneqq$ & \verb"\varsubsetneqq" & $\varsupsetneqq$ & \verb"\varsupsetneqq" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Variable-sized symbols (math mode)} \begin{center} \begin{displaymath} \begin{array}{ccl@{\hspace{2em}}ccl} \sum & \displaystyle \sum & \hbox{\verb"\sum"} & \bigcap & \displaystyle \bigcap & \hbox{\verb"\bigcap"} \\ \prod & \displaystyle \prod & \hbox{\verb"\prod"} & \bigcup & \displaystyle \bigcup & \hbox{\verb"\bigcup"} \\ \coprod & \displaystyle \coprod & \hbox{\verb"\coprod"} & \bigsqcup & \displaystyle \bigsqcup & \hbox{\verb"\bigsqcup"} \\ \int & \displaystyle \int & \hbox{\verb"\int"} & \bigvee & \displaystyle \bigvee & \hbox{\verb"\bigvee"} \\ \oint & \displaystyle \oint & \hbox{\verb"\oint"} & \bigwedge & \displaystyle \bigwedge & \hbox{\verb"\bigwedge"} \\ \bigodot & \displaystyle \bigodot & \hbox{\verb"\bigodot"} & \bigotimes & \displaystyle \bigotimes & \hbox{\verb"\bigotimes"} \\ \bigoplus & \displaystyle \bigoplus & \hbox{\verb"\bigoplus"} & \biguplus & \displaystyle \biguplus & \hbox{\verb"\biguplus"} \\ \end{array} \end{displaymath} \end{center} \end{table} \begin{table} \caption{Delimiters (math mode)} \begin{center} \begin{tabular}{lc@{\hspace{2em}}lc} $($ & \verb"(" & $)$ & \verb")" \\ $[$ & \verb"[" & $]$ & \verb"]" \\ $\{$ & \verb"\{" & $\}$ & \verb"\}" \\ $\lfloor$ & \verb"\lfloor" & $\rfloor$ & \verb"\rfloor" \\ $\lceil$ & \verb"\lceil" & $\rceil$ & \verb"\rceil" \\ $\langle$ & \verb"\langle" & $\rangle$ & \verb"\rangle" \\ $/$ & \verb"/" & $\backslash$ & \verb"\backslash" \\ $\vert$ & \verb"\vert" & $\Vert$ & \verb"\Vert" \\ $\uparrow$ & \verb"\uparrow" & $\Uparrow$ & \verb"\Uparrow" \\ $\downarrow$ & \verb"\downarrow" & $\Downarrow$ & \verb"\Downarrow" \\ $\updownarrow$ & \verb"\updownarrow" & $\Updownarrow$ & \verb"\Updownarrow" \\ $\ulcorner$ & \verb"\ulcorner" & $\urcorner$ & \verb"\urcorner" \\ $\llcorner$ & \verb"\llcorner" & $\lrcorner$ & \verb"\lrcorner" \\ \end{tabular} \end{center} \end{table} \begin{table} \caption{Function names (math mode)} \begin{verbatim} \arccos \csc \ker \min \arcsin \deg \lg \Pr \arctan \det \lim \sec \arg \dim \liminf \sin \cos \exp \limsup \sinh \cosh \gcd \ln \sup \cot \hom \log \tan \coth \inf \max \tanh \end{verbatim} \end{table} \end{document}