% master: l2kurz.tex
% L2KSYM.TEX - Tabellen zum 3.Teil der LaTeX2e-Kurzbeschreibung v2.0, Erlangen 1998
% L2KSYM.TEX - Tabellen zum 3.Teil der LaTeX2e-Kurzbeschreibung Mainz 1994, 1995
% LKSYM.TEX  - Tabellen zum 3.Teil der LaTeX-Kurzbeschreibung Graz-Wien 1987
% last changes: 1998-10-12 WaS

\subsection{Liste der mathematischen Symbole}  \label{symbols}
\begingroup % We want to change the style of footnotes in this file only
\renewcommand{\thefootnote}{\fnsymbol{footnote}} 

In den folgenden Tabellen sind alle Symbole angef"uhrt, die
standard\-m"a"sig im mathematischen Modus verwendet werden
k"on"-nen.  Die mit \null\footnotemark[1] versehenen Symbole werden
in \LaTeXe\ nur durch das Paket \texttt{latexsym} bereitgestellt.  Bei
vielen Installationen stehen mit den Paketen \texttt{amssymb}, 
\texttt{mathrsfs} oder \texttt{wasysym} weitere Zeichen zur 
Ver"-f"ugung, n"aheres steht im \local.


\begin{table}[hbp]
\caption{Mathematische Akzente}  \label{mathakz}
\begin{symbols}
$\hat a$    \> \verb|\hat a|   \> $\dot a$   \> \verb|\dot a|   \> $\check a$    \> \verb|\check a|    \\ 
$\tilde a$  \> \verb|\tilde a| \> $\ddot a$  \> \verb|\ddot a|  \> $\breve a$    \> \verb|\breve a|    \\
$\vec a$    \> \verb|\vec a  | \> $\acute a$ \> \verb|\acute a| \> $\mathring a$ \> \verb|\mathring a| \\
$\bar a$    \> \verb|\bar a|   \> $\grave a$ \> \verb|\grave a| \\
\end{symbols}
\end{table}

 
\begin{table}[!htbp]
\caption{Kleine griechische Buchstaben}
\begin{symbols}
$\alpha$   \> \verb|\alpha|    \>$\iota $  \> \verb|\iota|
  \>$\varrho$  \> \verb|\varrho| \\
$\beta$    \> \verb|\beta|     \>$\kappa $ \> \verb|\kappa|
  \>$\sigma$   \> \verb|\sigma| \\
$\gamma$   \> \verb|\gamma|    \>$\lambda $\> \verb|\lambda|
  \>$\varsigma$\> \verb|\varsigma| \\
$\delta$   \> \verb|\delta|    \>$\mu $    \> \verb|\mu|
  \>$\tau $    \> \verb|\tau| \\
$\epsilon$ \> \verb|\epsilon|  \>$\nu $    \> \verb|\nu|
  \>$\upsilon$ \> \verb|\upsilon| \\
$\varepsilon$\> \verb|\varepsilon| \>$\xi $\> \verb|\xi|
  \>$\phi$     \> \verb|\phi| \\
$\zeta$    \> \verb|\zeta|     \>$o $      \> \verb|o|
  \>$\varphi $ \> \verb|\varphi| \\
$\eta$     \> \verb|\eta|      \>$\pi $    \> \verb|\pi|
  \>$\chi $    \> \verb|\chi| \\
$\theta$   \> \verb|\theta|    \>$\varpi $ \> \verb|\varpi|
  \>$\psi$     \> \verb|\psi| \\
$\vartheta$\> \verb|\vartheta| \>$\rho $   \> \verb|\rho|
  \>$\omega$   \> \verb|\omega| \\
\end{symbols}
\end{table}
 
 
\begin{table}[htbp]
\caption{Gro"se griechische Buchstaben}
\begin{symbols}
$\Gamma$ \> \verb|\Gamma|  \>$\Xi$     \> \verb|\Xi|
  \>$\Phi$   \> \verb|\Phi| \\
$\Delta$ \> \verb|\Delta|  \>$\Pi$     \> \verb|\Pi|
  \>$\Psi$   \> \verb|\Psi| \\
$\Theta$ \> \verb|\Theta|  \>$\Sigma$  \> \verb|\Sigma|
  \>$\Omega$ \> \verb|\Omega| \\
$\Lambda$\> \verb|\Lambda| \>$\Upsilon$\> \verb|\Upsilon| \\
\end{symbols}
\end{table}


\begin{table}[!htbp]
\caption[Verschiedene sonstige Symbole]%
        {Verschiedene sonstige Symbole
         (\footnotemark[1] ben"otigt Paket \texttt{latexsym})}
\begin{symbols}
$\aleph $\> \verb|\aleph| \>$\prime $\> \verb|\prime| \>
$\forall $\> \verb|\forall|  \\
$\hbar $\> \verb|\hbar| \>$\emptyset $\> \verb|\emptyset| \>
$\exists $\> \verb|\exists|  \\
$\imath $\> \verb|\imath| \>$\nabla $\> \verb|\nabla| \>
$\neg $\> \verb|\neg|  \\
$\jmath $\> \verb|\jmath| \>$\surd $\> \verb|\surd| \>
$\flat $\> \verb|\flat| \\
$\ell $\> \verb|\ell| \>$\top $\> \verb|\top| \>
$\natural $\> \verb|\natural| \\
$\wp $\> \verb|\wp| \>$\bot $\> \verb|\bot| \>$\sharp $\> \verb|\sharp| \\
$\Re $\> \verb|\Re| \>$\Diamond $\> \verb|\Diamond|\footnotemark[1] \>$\clubsuit $\> \verb|\clubsuit| \\
$\Im $\> \verb|\Im| \>$\Box $\> \verb|\Box|\footnotemark[1] \>$\diamondsuit $\>
\verb|\diamondsuit| \\
$\partial $\> \verb|\partial| \>$\triangle $\> \verb|\triangle| \>
$\heartsuit $\> \verb|\heartsuit| \\
$\infty $\> \verb|\infty| \>$\angle $\> \verb|\angle| \>
$\spadesuit $\> \verb|\spadesuit| \\
$\mho $\> \verb|\mho|\footnotemark[1] \\
\end{symbols}
\end{table}


\begin{table}[!htbp]
\caption{"`Gro"se"' Operatoren}
\begin{trivlist}\item
\begin{tabular}{@{}ccl@{\qquad}cll@{\qquad}ccl@{}}
$\sum$     & $\displaystyle \sum$    & \verb|\sum|
  & $\bigcap$    & $\displaystyle\bigcap$    & \verb|\bigcap|
  & $\bigodot$   & $\displaystyle\bigodot$   & \verb|\bigodot| \\[6pt]
$\prod$    & $\displaystyle\prod$    & \verb|\prod|
  & $\bigcup$    & $\displaystyle\bigcup$    & \verb|\bigcup|
  & $\bigotimes$ & $\displaystyle\bigotimes$ & \verb|\bigotimes| \\[6pt]
$\coprod$  & $\displaystyle\coprod$  & \verb|\coprod|
  & $\bigsqcup$  & $\displaystyle\bigsqcup$  & \verb|\bigsqcup|
  & $\bigoplus$  & $\displaystyle\bigoplus$  & \verb|\bigoplus| \\[6pt]
$\int$     & $\displaystyle\int$     & \verb|\int|
  & $\bigvee$    & $\displaystyle\bigvee$    & \verb|\bigvee|
  & $\biguplus$  & $\displaystyle\biguplus$  & \verb|\biguplus| \\[6pt]
$\oint$    & $\displaystyle\oint$    & \verb|\oint|
  & $\bigwedge$  & $\displaystyle\bigwedge$  & \verb|\bigwedge|
\end{tabular}
\end{trivlist}
\end{table}


\begin{table}[!htbp]
\caption{Bin"are Operatoren}
\begin{symbols}
$+$   \> \verb|+|   \>$-$    \> \verb|-| \> $\div $\> \verb|\div| \\
$\pm $\> \verb|\pm| \>$\cap $\> \verb|\cap| \>$\vee $\> \verb|\vee| \\
$\mp $\> \verb|\mp| \>$\cup $\> \verb|\cup| \>$\wedge $\> \verb|\wedge| \\
$\setminus $\> \verb|\setminus| \>$\uplus $\> \verb|\uplus| \>
$\oplus $\> \verb|\oplus| \\
$\cdot $\> \verb|\cdot| \>$\sqcap $\> \verb|\sqcap| \>
$\ominus $\> \verb|\ominus| \\
$\times $\> \verb|\times| \>$\sqcup $\> \verb|\sqcup| \>
$\otimes $\> \verb|\otimes| \\
$\ast $\> \verb|\ast| \>$\triangleleft $\> \verb|\triangleleft| \>
$\oslash $\> \verb|\oslash| \\
$\star $\> \verb|\star| \>$\triangleright $\> \verb|\triangleright| \>
$\odot $\> \verb|\odot| \\
$\diamond $\> \verb|\diamond| \>$\lhd $\> \verb|\lhd|\footnotemark[1] \>
$\dagger $\> \verb|\dagger| \\
$\circ $\> \verb|\circ| \>$\rhd $\> \verb|\rhd|\footnotemark[1] \>
$\ddagger $\> \verb|\ddagger| \\
$\bullet $\> \verb|\bullet| \>$\unlhd $\> \verb|\unlhd|\footnotemark[1] \>
$\amalg $\> \verb|\amalg| \\
$\bigcirc $\> \verb|\bigcirc| \> $\unrhd$ \> \verb|\unrhd|\footnotemark[1] \> 
$\wr$ \> \verb|\wr| \\
$\bigtriangleup$ \>\verb|\bigtriangleup| \>
$\bigtriangledown$ \> \verb|\bigtriangledown|\>\\
\end{symbols}
\end{table}


\begin{table}[!htbp]
\caption[Relationen]%
        {Relationen (\footnotemark[1] ben"otigt Paket \texttt{latexsym})}
\begin{symbols}
$< $\> \verb|<| \>$>$\> \verb|>| \>$=$\> \verb|=| \\
$\leq $\> \verb|\leq| \>$\geq $\> \verb|\geq| \>$\equiv $\> \verb|\equiv| \\
$\prec $\> \verb|\prec| \>$\succ $\> \verb|\succ| \>$\sim $\> \verb|\sim| \\
$\preceq $\> \verb|\preceq| \>$\succeq $\> \verb|\succeq| \>
$\simeq $\> \verb|\simeq| \\
$\ll $\> \verb|\ll| \>$\gg $\> \verb|\gg| \>$\asymp $\> \verb|\asymp| \\
$\subset $\> \verb|\subset| \>$\supset $\> \verb|\supset| \>
$\approx $\> \verb|\approx| \\
$\subseteq $\> \verb|\subseteq| \>$\supseteq $\> \verb|\supseteq| \>
$\cong $\> \verb|\cong| \\
$\sqsubseteq $\> \verb|\sqsubseteq| \>$\sqsupseteq $\> \verb|\sqsupseteq| \>
$\bowtie $\> \verb|\bowtie| \\
$\sqsubset$ \> \verb|sqsubset|\footnotemark[1]\>
$\sqsupset$ \> \verb|sqsupset|\footnotemark[1]\>
$\Join$\> \verb|\Join|\footnotemark[1] \\
$\in $\> \verb|\in| \>$\ni $\> \verb|\ni| \>
$\notin$ \> \verb|\notin| \\
$\vdash $\> \verb|\vdash| \>$\dashv $\> \verb|\dashv| \>
$\models $\> \verb|\models| \\
$\smile $\> \verb|\smile| \>$\mid $\> \verb|\mid| \>
$\doteq $\> \verb|\doteq| \\
$\frown $\> \verb|\frown| \>$\parallel $\> \verb|\parallel| \>
$\perp $\> \verb|\perp| \\
$:$ \> \verb|:| \> $\propto$ \> \verb|\propto| \\
\end{symbols}
\end{table}

\begin{table}[!htbp]
\caption{Negierte Relationen}
\begin{symbols}
$\not< $\> \verb|\not<| \>$\not> $\> \verb|\not>| \>$\not= $\> \verb|\not=| \\
$\not\leq $\> \verb|\not\leq| \>$\not\geq $\> \verb|\not\geq| \>
  $\not\equiv $\> \verb|\not\equiv| \\
$\not\prec $\> \verb|\not\prec| \>$\not\succ $\> \verb|\not\succ| \>
  $\not\sim $\> \verb|\not\sim| \\
$\not\preceq $\> \verb|\not\preceq| \>$\not\succeq $\> \verb|\not\succeq| \>
  $\not\simeq $\> \verb|\not\simeq| \\
$\not\subset $\> \verb|\not\subset| \>$\not\supset $\> \verb|\not\supset| \>
  $\not\approx $\> \verb|\not\approx| \\
$\not\subseteq $\> \verb|\not\subseteq| \>$\not\supseteq $\>
\verb|\not\supseteq| \>
  $\not\cong $\> \verb|\not\cong| \\
$\not\sqsubseteq $\> \verb|\not\sqsubseteq| \>$\not\sqsupseteq $\>
\verb|\not\sqsupseteq| \>
  $\not\asymp $\> \verb|\not\asymp| \\
\end{symbols}
\end{table}


\begin{table}[!htbp]
\caption[Pfeile]%
        {Pfeile
         (Vertikale Pfeile werden als Klammerungssymbole behandelt, 
         alle anderen als Relationen.
         \footnotemark[1] ben"otigt Paket \texttt{latexsym}.)}
\begin{symbols}
$\leftarrow $\> \verb|\leftarrow| \>$\longleftarrow $\>
\verb|\longleftarrow| \>
  $\uparrow $\> \verb|\uparrow| \\
$\Leftarrow $\> \verb|\Leftarrow| \>$\Longleftarrow $\>
\verb|\Longleftarrow| \>
  $\Uparrow $\> \verb|\Uparrow| \\
$\rightarrow $\> \verb|\rightarrow| \>$\longrightarrow $\>
\verb|\longrightarrow| \>
  $\downarrow $\> \verb|\downarrow| \\
$\Rightarrow $\> \verb|\Rightarrow| \>$\Longrightarrow $\>
\verb|\Longrightarrow| \>
  $\Downarrow $\> \verb|\Downarrow| \\
$\leftrightarrow $\> \verb|\leftrightarrow| \>$\longleftrightarrow $\>
\verb|\longleft...| \>
  $\updownarrow $\> \verb|\updownarrow| \\
$\Leftrightarrow $\> \verb|\Leftrightarrow| \>$\Longleftrightarrow $\>
\verb|\Longleft...| \>
  $\Updownarrow $\> \verb|\Updownarrow| \\
$\mapsto $\> \verb|\mapsto| \>$\longmapsto $\> \verb|\longmapsto| \>
  $\nearrow $\> \verb|\nearrow| \\
$\hookleftarrow $\> \verb|\hookleftarrow| \>$\hookrightarrow $\>
\verb|\hookrightarrow| \>
  $\searrow $\> \verb|\searrow| \\
$\leftharpoonup $\> \verb|\leftharpoonup| \>$\rightharpoonup $\>
\verb|\rightharpoonup| \>
  $\swarrow $\> \verb|\swarrow| \\
$\leftharpoondown $\> \verb|\leftharpoondown| \>$\rightharpoondown $\>
\verb|\right...| \>
  $\nwarrow $\> \verb|\nwarrow| \\
$\rightleftharpoons $\> \verb|\rightleftharpoons| \>\>\>
  $\leadsto $\> \verb|\leadsto|\footnotemark[1] \\
\end{symbols}
\end{table}


\begin{table}[!htbp]
  \caption{Klammern}
\begin{tabbing}
 \hspace{7mm}\=\hspace{2.25cm}\= \hspace{7mm}\=\hspace{3.25cm}\=
 \hspace{7mm}\=\hspace{2.25cm}\= \hspace{7mm}\=\hspace{2.25cm}\=\kill
$($       \> \verb|(|       \> $)$       \> \verb|)| \>
  $\lceil $ \> \verb|\lceil|  \> $\rceil $\> \verb|\rceil| \\
$\langle $\> \verb|\langle| \> $\rangle $\> \verb|\rangle| \>
  $\lfloor $\> \verb|\lfloor| \> $\rfloor $\> \verb|\rfloor| \\
$[$       \> \verb|[|       \> $]$      \>  \verb|]| \>
  $\{$      \> \verb|\{|      \> $\}$     \> \verb|\}| \\
%$\lbrack $\> \verb|\lbrack| \> $\rbrack $\> \verb|\rbrack| \>
%  $\lbrace $\> \verb|\lbrace| \> $\rbrace $\> \verb|\rbrace| \\
$|$       \> \verb.|.       \> $\|$       \> \verb.\|. \>
  $\backslash$ \> \verb.\backslash. \\
\end{tabbing}
\end{table}

\iffalse % In einer Kurz(!)anleitung unnoetig
\begin{table}[!htbp]
\caption{Synonyme}
\bigskip
F"ur manche Symbole stehen mehrere verschiedene Befehle zur
Verf"ugung.
\begin{symbols}
\>\>  $\ne $\> \verb|\ne| oder \verb|\neq| \> \verb|\not=| \\
\>\>  $\le $\> \verb|\le| \> \verb|\leq| \\
\>\>  $\ge $\> \verb|\ge| \> \verb|\geq| \\
\>\>  $\{ $\> \verb|\{| \> \verb|\lbrace| \\
\>\>  $\} $\> \verb|\}| \> \verb|\rbrace|  \\
\>\>  $\to $\> \verb|\to| \> \verb|\rightarrow|  \\
\>\>  $\gets $\> \verb|\gets| \> \verb|\leftarrow|  \\
\>\>  $\owns $\> \verb|\owns| \> \verb|\ni|  \\
\>\>  $\land $\> \verb|\land| \> \verb|\wedge|  \\
\>\>  $\lor $\> \verb|\lor| \> \verb|\vee|  \\
\>\>  $\lnot $\> \verb|\lnot| \> \verb|\neg|  \\
\>\>  $\vert $\> \verb|\vert| \> \verb.|.  \\
\>\>  $\Vert $\> \verb|\Vert| \> \verb.\|.  \\
\end{symbols}
\end{table}
\fi

\iffalse % Wird jetzt bei den Textsymbolen behandelt
\begin{table}[!htbp]
\caption{Nicht-mathematische Symbole}
\bigskip
Die folgenden Symbole sind im Text-Modus verf"ugbar:
\begin{symbols}
\dag \> \verb|\dag|  \>\S \> \verb|\S| \>
 \copyright \> \verb|\copyright|  \\
\ddag \> \verb|\ddag|  \> \P \> \verb|\P| \>
 \pounds \> \verb|\pounds|  \\
\end{symbols}
\end{table}
\fi

\endgroup % Return to numbered footnotes 
\endinput
