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% Contents: TeX and LaTeX and AMS symbols for Maths
% File: lssym.tex (lshort2e.tex)
% Change: 7/11/1994 (to)
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\subsection{List of Mathematical Symbols}  \label{symbols}
 
In the following tables you find all the symbols, normally accessible
from \emph{math mode}.  

%
% Conditional Text in case the AMS Fonts are installed
%
\ifx\noAMS\relax To use the symbols\footnote{These tables were derived
  from |symbols.tex| by David~Carlisle} listed in
Tables~\ref{AMSD}--\ref{AMSNBR}, the package \pai{amssymb} must be
loaded in the preamble of the document and the AMS math fonts must be
installed on the system. If you want to install the AMS package,
have a look at \texttt{CTAN:/tex-archive/macros/latex/packages/amslatex}\fi
 
\begin{table}[!h]
\caption{Math Mode Accents}  \label{mathacc}
\begin{symbols}{*4{cl}}
\W{\hat}{a}     & \W{\check}{a} & \W{\tilde}{a} & \W{\acute}{a} \\
\W{\grave}{a} & \W{\dot}{a} & \W{\ddot}{a}    & \W{\breve}{a} \\
\W{\bar}{a} &\W{\vec}{a}   
\end{symbols}
\end{table}
 
\begin{table}[!h]
\caption{Lowercase Greek Letters}
\begin{symbols}{*3{cl}}
\X{\alpha}      & \X{\iota}     & \X{\varrho}   \\ 
\X{\beta}       & \X{\kappa}    & \X{\sigma}    \\
\X{\gamma}      & \X{\lambda}   & \X{\varsigma} \\
\X{\delta}      & \X{\mu}       & \X{\tau}  \\
\X{\epsilon}    & \X{\nu}       & \X{\upsilon}  \\
\X{\varepsilon} & \X{\xi}       & \X{\phi}      \\
\X{\zeta}       & \X{o}         & \X{\varphi}  \\
\X{\eta}        & \X{\pi}       & \X{\chi}  \\
\X{\theta}      & \X{\varpi}    & \X{\psi}  \\
\X{\vartheta}   & \X{\rho}      & \X{\omega}  
\end{symbols}
\end{table}

\begin{table}[!h]
\caption{Uppercase Greek Letters}
\begin{symbols}{*4{cl}}
\X{\Gamma}      & \X{\Xi}       & \X{\Phi}  &\X{\Delta} \\
\X{\Pi}       & \X{\Psi}   & \X{\Theta}      & \X{\Sigma}\\
\X{\Omega}   &\X{\Lambda}     & \X{\Upsilon}  
\end{symbols}
\end{table}
\clearpage 

\begin{table}[!tbp]
\caption{Miscellaneous Symbols}
\begin{symbols}{*3{cl}}
\X{\aleph}      & \X{\prime}    & \X{\forall}  \\
\X{\hbar}       & \X{\emptyset} & \X{\exists}  \\
\X{\imath}      & \X{\nabla}    & \X{\neg}  \\
\X{\jmath}      & \X{\surd}     & \X{\flat} \\
\X{\ell}        & \X{\top}      & \X{\natural} \\
\X{\wp}         & \X{\bot}      & \X{\sharp} \\
\X{\Re}         & \X{\|}        & \X{\clubsuit} \\
\X{\Im}         & \X{\angle}    & \X{\diamondsuit} \\
\X{\partial}    & \X{\triangle}         & \X{\heartsuit} \\
\X{\infty}      & \X{\backslash}        & \X{\spadesuit} \\
\X{\mho}$^a$    & \X{\Box}$^a$  & \X{\Diamond}$^a$ 
\end{symbols}
\centerline{\footnotesize $^a$Use the \textsf{latexsym} package to access this symbol}
\end{table}

\begin{table}[!tbp]
\caption{BIG Operators}
\begin{symbols}{*3{cl}}
  \X{\sum}      & \X{\bigcap}   &  \X{\bigodot} \\
  \X{\prod}     &  \X{\bigcup}          &  \X{\bigotimes} \\
  \X{\coprod}   &  \X{\bigsqcup}        &  \X{\bigoplus} \\
  \X{\int}      &  \X{\bigvee}          &  \X{\biguplus} \\
  \X{\oint}     &  \X{\bigwedge}
\end{symbols}
 
\end{table}
\begin{table}[!tbp]
\caption{Binary Operators}
\begin{symbols}{*3{cl}}
 \X{+}          & \X{-}    \\
 \X{\pm}        & \X{\cap}      & \X{\vee} \\
 \X{\mp}        & \X{\cup}      & \X{\wedge} \\
 \X{\setminus}  & \X{\uplus}    & \X{\oplus} \\
 \X{\cdot}      & \X{\sqcap}    & \X{\ominus} \\
 \X{\times}     & \X{\sqcup}    & \X{\otimes} \\
 \X{\ast}       & \X{\triangleleft}     & \X{\oslash} \\
 \X{\star}      & \X{\triangleright}    & \X{\odot} \\
 \X{\diamond}   & \X{\wr}       & \X{\dagger} \\
 \X{\circ}      & \X{\bigcirc}  & \X{\ddagger} \\
 \X{\bullet}    & \X{\bigtriangleup}    & \X{\amalg} \\
 \X{\div}       & \X{\bigtriangledown} 
\end{symbols}
 
\end{table}
\begin{table}[!tbp]
\caption{Relation Symbols}
\bigskip
You can produce corresponding negations by adding a |\not| command
as prefix to the following symbols.
\begin{symbols}{*3{cl}}
 \X{<}  &       \X{>}           & \X{=} \\
 \X{\leq}       & \X{\geq}      & \X{\equiv} \\
 \X{\prec}      & \X{\succ}     & \X{\sim} \\
 \X{\preceq}    & \X{\succeq}   & \X{\simeq} \\
 \X{\ll}        & \X{\gg}       & \X{\asymp} \\
 \X{\subset}    & \X{\supset}   & \X{\approx} \\
 \X{\subseteq}  & \X{\supseteq} & \X{\cong} \\
 \X{\sqsubseteq} & \X{\sqsupseteq} & \X{\bowtie} \\
 \X{\in}        & \X{\ni}       & \X{\Join}$^a$ \\
 \X{\vdash}     & \X{\dashv}    & \X{\models} \\
 \X{\smile}     & \X{\mid}      & \X{\doteq} \\
 \X{\frown}     & \X{\parallel} & \X{\perp} \\
 \X{\propto} \\
\end{symbols}
\centerline{\footnotesize $^a$Use the \textsf{latexsym} package to access this symbol}
\end{table}

\begin{table}[!tbp]
\caption{Arrows}
\begin{symbols}{*3{cl}}
 \X{\leftarrow} & \X{\longleftarrow}     \\
 \X{\Leftarrow} & \X{\Longleftarrow}     \\
 \X{\rightarrow}        & \X{\longrightarrow}    \\
 \X{\Rightarrow}        &\X{\Longrightarrow}     \\
 \X{\leftrightarrow}    & \X{\longleftrightarrow} \\
 \X{\Leftrightarrow}    & \X{\Longleftrightarrow} \\
 \X{\mapsto}            & \X{\longmapsto}       \\
 \X{\hookleftarrow}     & \X{\hookrightarrow}    \\
 \X{\leftharpoonup}     & \X{\rightharpoonup}   \\
 \X{\leftharpoondown}   & \X{\rightharpoondown} \\
 \X{\rightleftharpoons} & \X{\leadsto}$^a$ \\
 \X{\uparrow}           & \X{\Uparrow} \\
 \X{\downarrow}         & \X{\Downarrow} \\
 \X{\updownarrow}       & \X{\Updownarrow} \\
 \X{\nearrow}           & \X{\searrow} \\
 \X{\swarrow}           & \X{\nwarrow} 
\end{symbols}
\centerline{\footnotesize $^a$Use the \textsf{latexsym} package to access this symbol}
\end{table}

\DeleteShortVerb{\|}
\begin{table}[!tbp]
\caption{Delimiters}
\begin{symbols}{*3{cl}}
\X{(}             &\X{)}            &\X{\uparrow}     \\
\X{\Uparrow}      &\X{[}             &\X{]}           \\
\X{\downarrow}   &\X{\Downarrow}   & \X{\{}     \\
\X{\}}           &\X{\updownarrow} &\X{\Updownarrow} \\
\X{\lfloor}       &\X{\rfloor}      &\X{\lceil}\\
\X{\rceil}       &\X{\langle}       &\X{\rangle}   \\
\X{/}            &\X{\backslash}   & \X{|}            \\
\X{\|}
\end{symbols}
\end{table}
\MakeShortVerb{\|}

\begin{table}[!tbp]
\caption{Large Delimiters}
\begin{symbols}{*3{cl}}
\Y{\rmoustache}&  \Y{\lmoustache}&  \Y{\rgroup}\\[1ex]
\Y{\lgroup} & \Y{\arrowvert} &   \Y{\Arrowvert}\\[1ex]
\Y{\bracevert}
\end{symbols}
\end{table}


\begin{table}[!tbp]
\caption{Non-Mathematical Symbols}
\bigskip
These symbols can also be used in text mode.
\begin{symbols}{*3{cl}}
\X{\dag} & \X{\S} & \X{\copyright}  \\
\X{\ddag} & \X{\P} & \X{\pounds}  \\
\end{symbols}
\end{table}

%
%
% If the AMS Stuff is not available, we drop out right here :-)
%
\noAMS

\begin{table}[!tbp]
\caption{AMS Delimiters}\label{AMSD}
\bigskip
\begin{symbols}{*4{cl}}
\X{\ulcorner}&\X{\urcorner}&\X{\llcorner}&\X{\lrcorner}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{AMS Negated Arrows}
\begin{symbols}{*3{cl}}
\X{\nleftarrow}   &\X{\nrightarrow} &\X{\nLeftarrow}  \\
\X{\nRightarrow} &\X{\nleftrightarrow}&\X{\nLeftrightarrow}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{AMS Greek}
\begin{symbols}{*2{cl}}
\X{\digamma}     &\X{\varkappa}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{AMS Hebrew}
\begin{symbols}{*3{cl}}
\X{\beth}& \X{\daleth}     &\X{\gimel}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{AMS Arrows}
\begin{symbols}{*3{cl}}
  \X{\dashrightarrow}   &\X{\dashleftarrow}        &\X{\leftleftarrows}     \\
  \X{\leftrightarrows}  &\X{\Lleftarrow}           &\X{\twoheadleftarrow}\\
  \X{\leftarrowtail}    &\X{\looparrowleft}        &\X{\leftrightharpoons}   \\
  \X{\curvearrowleft}   &\X{\circlearrowleft}      &\X{\Lsh}      \\
  \X{\upuparrows}       &\X{\upharpoonleft}        &\X{\downharpoonleft}    \\
  \X{\multimap}         & \X{\leftrightsquigarrow}  &\X{\rightrightarrows}\\
  \X{\rightleftarrows}  &\X{\rightrightarrows}     &\X{\rightleftarrows} \\
  \X{\twoheadrightarrow}&\X{\rightarrowtail}       &\X{\looparrowright} \\
  \X{\rightleftharpoons}&\X{\curvearrowright}      &\X{\circlearrowright}\\
  \X{\Rsh}              &\X{\downdownarrows}       &\X{\upharpoonright}\\
  \X{\downharpoonright} &\X{\rightsquigarrow}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{AMS Miscellaneous}
\begin{symbols}{*3{cl}}
\X{\hbar}           &\X{\hslash}         &\X{\vartriangle}\\
\X{\square}         &\X{\triangledown}   &\X{\lozenge} \\
\X{\circledS}       &\X{\varnothing}     &\X{\measuredangle}\\
\X{\nexists}        &\X{\blacksquare}    &\X{\Finv}             \\
\X{\Game}           &\X{\sphericalangle} &\X{\backprime} \\
\X{\angle}          &\X{\blacktriangle}  &\X{\blacktriangledown}\\
\X{\mho}            &\X{\blacklozenge}   &\X{\bigstar}\\
\X{\Bbbk}           &\X{\complement}     &\X{\eth}      \\
\X{\diagup}         &\X{\diagdown}
\end{symbols}
\end{table}


\begin{table}[!tbp]
\caption{AMS Binary Operators}
\begin{symbols}{*3{cl}}
\X{\dotplus}         &\X{\boxtimes}      &\X{\rightthreetimes}\\
\X{\Cup}             &\X{\barwedge}      &\X{\doublebarwedge}\\
\X{\rtimes}          &\X{\boxminus}      &\X{\smallsetminus}\\
\X{\boxdot}          &\X{\boxplus}       &\X{\divideontimes}    \\
\X{\ltimes}          &\X{\veebar}        &\X{\leftthreetimes}\\
\X{\Cap}             &\X{\curlywedge}    &\X{\circleddash} \\
\X{\curlyvee}        &\X{\circledast}    &\X{\circledcirc} \\
\X{\centerdot}       &\X{\intercal}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{AMS Binary Relations}
\begin{symbols}{*3{cl}}
\X{\leqq}           &\X{\leqslant}      &\X{\eqslantless} \\
\X{\lesssim}        &\X{\lessapprox}    &\X{\approxeq}  \\
\X{\lessdot}        &\X{\lll}           &\X{\lessgtr} \\
\X{\lesseqgtr}      &\X{\lesseqqgtr}    &\X{\doteqdot}  \\
\X{\backsim}        &\X{\Subset}        &\X{\risingdotseq} \\
\X{\backsimeq}      &\X{\subseteqq}     &\X{\fallingdotseq}  \\   
\X{\sqsubset}       &\X{\preccurlyeq}   &\X{\curlyeqprec} \\
\X{\precsim}        &\X{\precapprox}    &\X{\vartriangleleft}\\
\X{\vDash}          &\X{\Vvdash}        &\X{\trianglelefteq}\\
\X{\smallsmile}     &\X{\smallfrown}    &\X{\bumpeq} \\
\X{\Bumpeq}         &\X{\geqq}          &\X{\geqslant} \\
\X{\eqslantgtr}     &\X{\gtrsim}        &\X{\gtrapprox} \\
\X{\gtrdot}         &\X{\ggg}           &\X{\gtrless}   \\
\X{\gtreqless}      &\X{\gtreqqless}    &\X{\eqcirc}     \\
\X{\circeq}         &\X{\triangleq}     &\X{\thicksim} \\
\X{\thickapprox}    &\X{\supseteqq}     &\X{\Supset}    \\
\X{\sqsupset}       &\X{\succcurlyeq}   &\X{\curlyeqsucc}  \\
\X{\succsim}        &\X{\succapprox}    &\X{\vartriangleright} \\
\X{\Vdash}          &\X{\shortmid}      &\X{\trianglerighteq} \\
\X{\between}        &\X{\pitchfork}     &\X{\shortparallel} \\
\X{\varpropto}      &\X{\therefore}     &\X{\blacktriangleleft} \\
\X{\backepsilon}    &\X{\because}       &\X{\blacktriangleright}  \\
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{AMS Negated Binary Relations}\label{AMSNBR}
\begin{symbols}{*3{cl}}
\X{\nless}         &\X{\nleq}            &\X{\nleqslant}\\
\X{\nleqq}         &\X{\lneq}            &\X{\lneqq}    \\
\X{\lvertneqq}     &\X{\lnsim}           &\X{\lnapprox}  \\
\X{\nprec}         &\X{\npreceq}         &\X{\precnsim}   \\
\X{\precnapprox}   &\X{\nsim}            &\X{\nshortmid}  \\
\X{\nmid}          &\X{\nvdash}          &\X{\nvDash}     \\
\X{\ntriangleleft} &\X{\ntrianglelefteq} &\X{\nsubseteq}\\
\X{\subsetneq}     &\X{\varsubsetneq}    &\X{\subsetneqq} \\
\X{\varsubsetneqq} &\X{\ngtr}            &\X{\ngeq}       \\
\X{\ngeqslant}     &\X{\ngeqq}           &\X{\gneq}\\
\X{\gneqq}         &\X{\gvertneqq}       &\X{\gnsim}     \\
\X{\gnapprox}      &\X{\nsucc}           &\X{\nsucceq}    \\
\X{\nsucceq}       &\X{\succnsim}        &\X{\succnapprox}\\
\X{\ncong}         &\X{\nshortparallel}  &\X{\nparallel} \\
\X{\nvDash}        &\X{\nVDash}          &\X{\ntriangleright}\\
\X{\ntrianglerighteq} &\X{\nsupseteq}    &\X{\nsupseteqq} \\
\X{\supsetneq}     &\X{\varsupsetneq}    &\X{\supsetneqq} \\
\X{\varsupsetneqq}
\end{symbols}
\end{table}


\begin{table}[!tbp]
\caption{Math Alphabets}
\begin{symbols}{@{}*3l@{}}
Example& Command &Required package\\
\hline
\rule{0pt}{1.05em}$\mathrm{ABCdef}$
        &\verb|\mathrm{ABCdef}|
        &       \\
$\mathit{ABCdef}$
        &\verb|\mathit{ABCdef}|
        &       \\
$\mathnormal{ABCdef}$
        &\verb|\mathnormal{ABCdef}|
        &       \\
$\mathcal{ABC}$
        &\verb|\mathcal{ABC}|
        &       \\
\ifx\EuScript\undefined\else
$\EuScript{ABC}$
        &\verb|\mathcal{ABC}|
        &\textsf{euscript} with  with option: \textsf{mathcal}   \\
        &\verb|\mathscr{ABC}|
        &\textsf{euscript}  with option: \textsf{mathscr}\\
$\mathfrak{ABCdef}$
        &\verb|\mathfrak{ABCdef}|
        &\textsf{eufrak}                \\
\fi
$\mathbb{ABC}$
        &\verb|\mathbb{ABC}|
        &\textsf{amsfonts} or \textsf{amssymb}        \\
\end{symbols}
\end{table}


\endinput

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