307 lines
13 KiB
TeX
307 lines
13 KiB
TeX
%!TEX root = l2kurz.tex
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% master: l2kurz.tex
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% L2KSYM.TEX - Tabellen zum 3.Teil der LaTeX2e-Kurzbeschreibung v2.0, Erlangen 1998
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% L2KSYM.TEX - Tabellen zum 3.Teil der LaTeX2e-Kurzbeschreibung Mainz 1994, 1995
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% LKSYM.TEX - Tabellen zum 3.Teil der LaTeX-Kurzbeschreibung Graz-Wien 1987
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% last changes: 1999-09-01 WaS
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\section{Liste der mathematischen Symbole} \label{symbols}
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In den folgenden Tabellen sind alle Symbole angeführt, die
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standardmäßig im mathematischen Modus verwendet werden
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können. Die mit * versehenen Symbole werden
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in \LaTeXe\ nur durch das Paket \texttt{latexsym} bereitgestellt.
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Mit den Paketen \texttt{amssymb},
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\texttt{mathrsfs} oder \texttt{wasysym} stehen weitere Zeichen zur
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Verfügung. Die in einer \TeX-Distribution üblicherweise vorhandene Übersicht {\selectlanguage{USenglish} The Comprehensive \LaTeX{} Symbol List}~\cite{symbols} zeigt viele Symbole und wie sie mit \LaTeX{} zu erreichen sind.
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% http://detexify.kirelabs.org/classify.html rein?
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\begin{table}[hbp]
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\caption{Mathematische Akzente} \label{mathakz}
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\begin{symbols}
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$\hat a$ \> \lstinline|\hat a| \> $\dot a$ \> \lstinline|\dot a| \> $\check a$ \> \lstinline|\check a| \\
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$\tilde a$ \> \lstinline|\tilde a| \> $\ddot a$ \> \lstinline|\ddot a| \> $\breve a$ \> \lstinline|\breve a| \\
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$\vec a$ \> \lstinline|\vec a | \> $\acute a$ \> \lstinline|\acute a| \> $\mathring a$ \> \lstinline|\mathring a| \\
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$\bar a$ \> \lstinline|\bar a| \> $\grave a$ \> \lstinline|\grave a| \\
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\end{symbols}
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\end{table}
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\begin{table}[!htbp]
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\caption{Kleine griechische Buchstaben}
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\begin{symbols}
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$\alpha$ \> \lstinline|\alpha| \>$\iota $ \> \lstinline|\iota|
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\>$\varrho$ \> \lstinline|\varrho| \\
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$\beta$ \> \lstinline|\beta| \>$\kappa $ \> \lstinline|\kappa|
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\>$\sigma$ \> \lstinline|\sigma| \\
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$\gamma$ \> \lstinline|\gamma| \>$\lambda $\> \lstinline|\lambda|
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\>$\varsigma$\> \lstinline|\varsigma| \\
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$\delta$ \> \lstinline|\delta| \>$\mu $ \> \lstinline|\mu|
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\>$\tau $ \> \lstinline|\tau| \\
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$\epsilon$ \> \lstinline|\epsilon| \>$\nu $ \> \lstinline|\nu|
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\>$\upsilon$ \> \lstinline|\upsilon| \\
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$\varepsilon$\> \lstinline|\varepsilon| \>$\xi $\> \lstinline|\xi|
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\>$\phi$ \> \lstinline|\phi| \\
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$\zeta$ \> \lstinline|\zeta| \>$o $ \> \lstinline|o|
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\>$\varphi $ \> \lstinline|\varphi| \\
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$\eta$ \> \lstinline|\eta| \>$\pi $ \> \lstinline|\pi|
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\>$\chi $ \> \lstinline|\chi| \\
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$\theta$ \> \lstinline|\theta| \>$\varpi $ \> \lstinline|\varpi|
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\>$\psi$ \> \lstinline|\psi| \\
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$\vartheta$\> \lstinline|\vartheta| \>$\rho $ \> \lstinline|\rho|
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\>$\omega$ \> \lstinline|\omega| \\
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\end{symbols}
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\end{table}
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\begin{table}[htbp]
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\caption{Große griechische Buchstaben}
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\begin{symbols}
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$\Gamma$ \> \lstinline|\Gamma| \>$\Xi$ \> \lstinline|\Xi|
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\>$\Phi$ \> \lstinline|\Phi| \\
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$\Delta$ \> \lstinline|\Delta| \>$\Pi$ \> \lstinline|\Pi|
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\>$\Psi$ \> \lstinline|\Psi| \\
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$\Theta$ \> \lstinline|\Theta| \>$\Sigma$ \> \lstinline|\Sigma|
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\>$\Omega$ \> \lstinline|\Omega| \\
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$\Lambda$\> \lstinline|\Lambda| \>$\Upsilon$\> \lstinline|\Upsilon| \\
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\end{symbols}
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\end{table}
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\begin{table}[!htbp]
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\caption[Verschiedene sonstige Symbole]%
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{Verschiedene sonstige Symbole
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(* benötigt Paket \texttt{latexsym})}
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\begin{symbols}
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$\aleph $\> \lstinline|\aleph| \>$\prime $\> \lstinline|\prime| \>
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$\forall $\> \lstinline|\forall| \\
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$\hbar $\> \lstinline|\hbar| \>$\emptyset $\> \lstinline|\emptyset| \>
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$\exists $\> \lstinline|\exists| \\
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$\imath $\> \lstinline|\imath| \>$\nabla $\> \lstinline|\nabla| \>
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$\neg $\> \lstinline|\neg| \\
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$\jmath $\> \lstinline|\jmath| \>$\surd $\> \lstinline|\surd| \>
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$\flat $\> \lstinline|\flat| \\
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$\ell $\> \lstinline|\ell| \>$\top $\> \lstinline|\top| \>
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$\natural $\> \lstinline|\natural| \\
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$\wp $\> \lstinline|\wp| \>$\bot $\> \lstinline|\bot| \>$\sharp $\> \lstinline|\sharp| \\
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$\Re $\> \lstinline|\Re| \>$\Diamond $\> \lstinline|\Diamond|\textsuperscript{*} \>$\clubsuit $\> \lstinline|\clubsuit| \\
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$\Im $\> \lstinline|\Im| \>$\Box $\> \lstinline|\Box|\textsuperscript{*} \>$\diamondsuit $\>
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\lstinline|\diamondsuit| \\
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$\partial $\> \lstinline|\partial| \>$\triangle $\> \lstinline|\triangle| \>
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$\heartsuit $\> \lstinline|\heartsuit| \\
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$\infty $\> \lstinline|\infty| \>$\angle $\> \lstinline|\angle| \>
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$\spadesuit $\> \lstinline|\spadesuit| \\
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$\mho $\> \lstinline|\mho|\textsuperscript{*} \\
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\end{symbols}
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\end{table}
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\begin{table}[!htbp]
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\caption{"`Große"' Operatoren}
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\begin{trivlist}\item
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\begin{tabular}{@{}ccl@{\qquad}cll@{\qquad}ccl@{}}
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$\sum$ & $\displaystyle \sum$ & \lstinline|\sum|
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& $\bigcap$ & $\displaystyle\bigcap$ & \lstinline|\bigcap|
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& $\bigodot$ & $\displaystyle\bigodot$ & \lstinline|\bigodot| \\[6pt]
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$\prod$ & $\displaystyle\prod$ & \lstinline|\prod|
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& $\bigcup$ & $\displaystyle\bigcup$ & \lstinline|\bigcup|
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& $\bigotimes$ & $\displaystyle\bigotimes$ & \lstinline|\bigotimes| \\[6pt]
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$\coprod$ & $\displaystyle\coprod$ & \lstinline|\coprod|
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& $\bigsqcup$ & $\displaystyle\bigsqcup$ & \lstinline|\bigsqcup|
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& $\bigoplus$ & $\displaystyle\bigoplus$ & \lstinline|\bigoplus| \\[6pt]
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$\int$ & $\displaystyle\int$ & \lstinline|\int|
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& $\bigvee$ & $\displaystyle\bigvee$ & \lstinline|\bigvee|
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& $\biguplus$ & $\displaystyle\biguplus$ & \lstinline|\biguplus| \\[6pt]
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$\oint$ & $\displaystyle\oint$ & \lstinline|\oint|
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& $\bigwedge$ & $\displaystyle\bigwedge$ & \lstinline|\bigwedge|
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\end{tabular}
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\end{trivlist}
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\end{table}
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\begin{table}[!htbp]
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\caption[Binäre Operatoren]{Binäre Operatoren
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(* benötigt Paket \texttt{latexsym})}
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\begin{symbols}
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$+$ \> \lstinline|+| \>$-$ \> \lstinline|-| \> $\div $\> \lstinline|\div| \\
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$\pm $\> \lstinline|\pm| \>$\cap $\> \lstinline|\cap| \>$\vee $\> \lstinline|\vee| \\
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$\mp $\> \lstinline|\mp| \>$\cup $\> \lstinline|\cup| \>$\wedge $\> \lstinline|\wedge| \\
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$\setminus $\> \lstinline|\setminus| \>$\uplus $\> \lstinline|\uplus| \>
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$\oplus $\> \lstinline|\oplus| \\
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$\cdot $\> \lstinline|\cdot| \>$\sqcap $\> \lstinline|\sqcap| \>
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$\ominus $\> \lstinline|\ominus| \\
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$\times $\> \lstinline|\times| \>$\sqcup $\> \lstinline|\sqcup| \>
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$\otimes $\> \lstinline|\otimes| \\
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$\ast $\> \lstinline|\ast| \>$\triangleleft $\> \lstinline|\triangleleft| \>
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$\oslash $\> \lstinline|\oslash| \\
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$\star $\> \lstinline|\star| \>$\triangleright $\> \lstinline|\triangleright| \>
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$\odot $\> \lstinline|\odot| \\
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$\diamond $\> \lstinline|\diamond| \>$\lhd $\> \lstinline|\lhd|\textsuperscript{*} \>
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$\dagger $\> \lstinline|\dagger| \\
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$\circ $\> \lstinline|\circ| \>$\rhd $\> \lstinline|\rhd|\textsuperscript{*} \>
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$\ddagger $\> \lstinline|\ddagger| \\
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$\bullet $\> \lstinline|\bullet| \>$\unlhd $\> \lstinline|\unlhd|\textsuperscript{*} \>
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$\amalg $\> \lstinline|\amalg| \\
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$\bigcirc $\> \lstinline|\bigcirc| \> $\unrhd$ \> \lstinline|\unrhd|\textsuperscript{*} \>
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$\wr$ \> \lstinline|\wr| \\
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$\bigtriangleup$ \>\lstinline|\bigtriangleup| \>
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$\bigtriangledown$ \> \lstinline|\bigtriangledown|\>\\
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\end{symbols}
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\end{table}
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\begin{table}[!htbp]
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\caption[Relationen]%
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{Relationen (* benötigt Paket \texttt{latexsym})}
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\begin{symbols}
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$< $\> \lstinline|<| \>$>$\> \lstinline|>| \>$=$\> \lstinline|=| \\
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$\leq $\> \lstinline|\leq| \>$\geq $\> \lstinline|\geq| \>$\equiv $\> \lstinline|\equiv| \\
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$\prec $\> \lstinline|\prec| \>$\succ $\> \lstinline|\succ| \>$\sim $\> \lstinline|\sim| \\
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$\preceq $\> \lstinline|\preceq| \>$\succeq $\> \lstinline|\succeq| \>
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$\simeq $\> \lstinline|\simeq| \\
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$\ll $\> \lstinline|\ll| \>$\gg $\> \lstinline|\gg| \>$\asymp $\> \lstinline|\asymp| \\
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$\subset $\> \lstinline|\subset| \>$\supset $\> \lstinline|\supset| \>
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$\approx $\> \lstinline|\approx| \\
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$\subseteq $\> \lstinline|\subseteq| \>$\supseteq $\> \lstinline|\supseteq| \>
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$\cong $\> \lstinline|\cong| \\
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$\sqsubseteq $\> \lstinline|\sqsubseteq| \>$\sqsupseteq $\> \lstinline|\sqsupseteq| \>
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$\bowtie $\> \lstinline|\bowtie| \\
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$\sqsubset$ \> \lstinline|sqsubset|\textsuperscript{*}\>
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$\sqsupset$ \> \lstinline|sqsupset|\textsuperscript{*}\>
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$\Join$\> \lstinline|\Join|\textsuperscript{*} \\
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$\in $\> \lstinline|\in| \>$\ni $\> \lstinline|\ni| \>
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$\notin$ \> \lstinline|\notin| \\
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$\vdash $\> \lstinline|\vdash| \>$\dashv $\> \lstinline|\dashv| \>
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$\models $\> \lstinline|\models| \\
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$\smile $\> \lstinline|\smile| \>$\mid $\> \lstinline|\mid| \>
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$\doteq $\> \lstinline|\doteq| \\
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$\frown $\> \lstinline|\frown| \>$\parallel $\> \lstinline|\parallel| \>
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$\perp $\> \lstinline|\perp| \\
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$:$ \> \lstinline|:| \> $\propto$ \> \lstinline|\propto| \\
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\end{symbols}
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\end{table}
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\begin{table}[!htbp]
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\caption{Negierte Relationen}
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\begin{symbols}
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$\not< $\> \lstinline|\not<| \>$\not> $\> \lstinline|\not>| \>$\not= $\> \lstinline|\not=| \\
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$\not\leq $\> \lstinline|\not\leq| \>$\not\geq $\> \lstinline|\not\geq| \>
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$\not\equiv $\> \lstinline|\not\equiv| \\
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$\not\prec $\> \lstinline|\not\prec| \>$\not\succ $\> \lstinline|\not\succ| \>
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$\not\sim $\> \lstinline|\not\sim| \\
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$\not\preceq $\> \lstinline|\not\preceq| \>$\not\succeq $\> \lstinline|\not\succeq| \>
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$\not\simeq $\> \lstinline|\not\simeq| \\
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$\not\subset $\> \lstinline|\not\subset| \>$\not\supset $\> \lstinline|\not\supset| \>
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$\not\approx $\> \lstinline|\not\approx| \\
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$\not\subseteq $\> \lstinline|\not\subseteq| \>$\not\supseteq $\>
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\lstinline|\not\supseteq| \>
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$\not\cong $\> \lstinline|\not\cong| \\
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$\not\sqsubseteq $\> \lstinline|\not\sqsubseteq| \>$\not\sqsupseteq $\>
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\lstinline|\not\sqsupseteq| \>
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$\not\asymp $\> \lstinline|\not\asymp| \\
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\end{symbols}
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\end{table}
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\begin{table}[!htbp]
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\caption[Pfeile]%
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{Pfeile
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(Vertikale Pfeile werden als Klammerungssymbole behandelt,
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alle anderen als Relationen.
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* benötigt Paket \texttt{latexsym}.)}
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\begin{symbols}
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$\leftarrow $\> \lstinline|\leftarrow| \>$\longleftarrow $\>
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\lstinline|\longleftarrow| \>
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$\uparrow $\> \lstinline|\uparrow| \\
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$\Leftarrow $\> \lstinline|\Leftarrow| \>$\Longleftarrow $\>
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\lstinline|\Longleftarrow| \>
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$\Uparrow $\> \lstinline|\Uparrow| \\
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$\rightarrow $\> \lstinline|\rightarrow| \>$\longrightarrow $\>
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\lstinline|\longrightarrow| \>
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$\downarrow $\> \lstinline|\downarrow| \\
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$\Rightarrow $\> \lstinline|\Rightarrow| \>$\Longrightarrow $\>
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\lstinline|\Longrightarrow| \>
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$\Downarrow $\> \lstinline|\Downarrow| \\
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$\leftrightarrow $\> \lstinline|\leftrightarrow| \>$\longleftrightarrow $\>
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\lstinline|\longleft...| \>
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$\updownarrow $\> \lstinline|\updownarrow| \\
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$\Leftrightarrow $\> \lstinline|\Leftrightarrow| \>$\Longleftrightarrow $\>
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\lstinline|\Longleft...| \>
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$\Updownarrow $\> \lstinline|\Updownarrow| \\
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$\mapsto $\> \lstinline|\mapsto| \>$\longmapsto $\> \lstinline|\longmapsto| \>
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$\nearrow $\> \lstinline|\nearrow| \\
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$\hookleftarrow $\> \lstinline|\hookleftarrow| \>$\hookrightarrow $\>
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\lstinline|\hookrightarrow| \>
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$\searrow $\> \lstinline|\searrow| \\
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$\leftharpoonup $\> \lstinline|\leftharpoonup| \>$\rightharpoonup $\>
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\lstinline|\rightharpoonup| \>
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$\swarrow $\> \lstinline|\swarrow| \\
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$\leftharpoondown $\> \lstinline|\leftharpoondown| \>$\rightharpoondown $\>
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\lstinline|\right...| \>
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$\nwarrow $\> \lstinline|\nwarrow| \\
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$\rightleftharpoons $\> \lstinline|\rightleftharpoons| \>\>\>
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$\leadsto $\> \lstinline|\leadsto|\textsuperscript{*} \\
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\end{symbols}
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\end{table}
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\begin{table}[!htbp]
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\caption{Klammern}
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\begin{tabbing}
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\hspace{7mm}\=\hspace{2.25cm}\= \hspace{7mm}\=\hspace{3.25cm}\=
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\hspace{7mm}\=\hspace{2.25cm}\= \hspace{7mm}\=\hspace{2.25cm}\=\kill
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$($ \> \lstinline|(| \> $)$ \> \lstinline|)| \>
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$\lceil $ \> \lstinline|\lceil| \> $\rceil $\> \lstinline|\rceil| \\
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$\langle $\> \lstinline|\langle| \> $\rangle $\> \lstinline|\rangle| \>
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$\lfloor $\> \lstinline|\lfloor| \> $\rfloor $\> \lstinline|\rfloor| \\
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$[$ \> \lstinline|[| \> $]$ \> \lstinline|]| \>
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$\{$ \> \lstinline|\{| \> $\}$ \> \lstinline|\}| \\
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%$\lbrack $\> \lstinline|\lbrack| \> $\rbrack $\> \lstinline|\rbrack| \>
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% $\lbrace $\> \lstinline|\lbrace| \> $\rbrace $\> \lstinline|\rbrace| \\
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$|$ \> \lstinline.|. \> $\|$ \> \lstinline.\|. \>
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$\backslash$ \> \lstinline.\backslash. \\
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\end{tabbing}
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\end{table}
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\iffalse % In einer Kurz(!)anleitung unnoetig
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\begin{table}[!htbp]
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\caption{Synonyme}
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\bigskip
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Für manche Symbole stehen mehrere verschiedene Befehle zur
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Verfügung.
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\begin{symbols}
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\>\> $\ne $\> \lstinline|\ne| oder \lstinline|\neq| \> \lstinline|\not=| \\
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\>\> $\le $\> \lstinline|\le| \> \lstinline|\leq| \\
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\>\> $\ge $\> \lstinline|\ge| \> \lstinline|\geq| \\
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\>\> $\{ $\> \lstinline|\{| \> \lstinline|\lbrace| \\
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\>\> $\} $\> \lstinline|\}| \> \lstinline|\rbrace| \\
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\>\> $\to $\> \lstinline|\to| \> \lstinline|\rightarrow| \\
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\>\> $\gets $\> \lstinline|\gets| \> \lstinline|\leftarrow| \\
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\>\> $\owns $\> \lstinline|\owns| \> \lstinline|\ni| \\
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\>\> $\land $\> \lstinline|\land| \> \lstinline|\wedge| \\
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\>\> $\lor $\> \lstinline|\lor| \> \lstinline|\vee| \\
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\>\> $\lnot $\> \lstinline|\lnot| \> \lstinline|\neg| \\
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\>\> $\vert $\> \lstinline|\vert| \> \lstinline.|. \\
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\>\> $\Vert $\> \lstinline|\Vert| \> \lstinline.\|. \\
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\end{symbols}
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\end{table}
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\fi
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\iffalse % Wird jetzt bei den Textsymbolen behandelt
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\begin{table}[!htbp]
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\caption{Nicht-mathematische Symbole}
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\bigskip
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Die folgenden Symbole sind im Text-Modus verfügbar:
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\begin{symbols}
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\dag \> \lstinline|\dag| \>\S \> \lstinline|\S| \>
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\copyright \> \lstinline|\copyright| \\
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\ddag \> \lstinline|\ddag| \> \P \> \lstinline|\P| \>
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\pounds \> \lstinline|\pounds| \\
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\end{symbols}
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\end{table}
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\fi
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\endinput
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