LaTeX-examples/documents/GeoTopo/Symbolverzeichnis.tex

\chapter*{Symbolverzeichnis}
\addcontentsline{toc}{chapter}{Symbolverzeichnis}
\begin{minipage}[t]{0.45\textwidth}
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% Zahlenmengen                                                      %
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\section*{Zahlenmengen}
$\mdn\;\;\;$ Natürliche Zahlen\\
$\mdz\;\;\;$ Ganze Zahlen\\
$\mdq\;\;\;$ Rationale Zahlen\\
$\mdr\;\;\;$ Reele Zahlen\\
$\mdr^+\;\;\;$ Echt positive reele Zahlen\\
$\mdr^\times\;\;\;$ Einheitengruppe von $\mdr$\\
$\mdc\;\;\;$ Komplexe Zahlen\\

\section*{Weiteres}
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% Fraktale Symbole                                                  %
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$\fB\;\;\;$ Basis einer Topologie\\
$\fB_\delta(x)\;\;\;$ $\delta$-Kugel um $x$\\
$\fT\;\;\;$ Topologie\\

$\mdp\;\;\;$ Projektiver Raum\\
$\langle \cdot , \cdot \rangle\;\;\;$ Skalarprodukt\\
$X /_\sim\;\;\;$ $X$ modulo $\sim$\\
$[x]_\sim\;\;\;$ Äquivalenzklassen von $x$ bzgl. $\sim$\\
$\| x \|\;\;\;$ Norm von $x$\\
$| x |\;\;\;$ Betrag von $x$\\
$S^n\;\;\;$ Sphäre\\
$T^n\;\;\;$ Torus\\
$\pi_X\;\;\;$ Projektion auf $X$\\
$f^{-1}(M)\;\;\;$ Urbild von $M$\\
$\GL_n(K)\;\;\;$ Allgemeine lineare Gruppe (general linear group)\\
$\text{Rg}(M)\;\;\;$ Rang von $M$\\
$f|_U\;\;\;$ $f$ eingeschränkt auf $U$\\

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\begin{minipage}[t]{0.45\textwidth}
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% Mengenoperationen                                                 %
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\section*{Mengenoperationen}
$A^C\;\;\;$ Komplement der Menge $A$\\
$\mathcal{P}(M)\;\;\;$ Potenzmenge von $M$\\
$\overline{M}\;\;\;$ Abschluss der Menge $M$\\
$\partial M\;\;\;$ Rand der Menge $M$\\
$M^\circ\;\;\;$ Inneres der Menge $M$\\
$A \times B\;\;\;$ Kreuzprodukt zweier Mengen\\
$A \subseteq B\;\;\;$ Teilmengenbeziehung\\
$A \subsetneq B\;\;\;$ echte Teilmengenbeziehung\\
$A \setminus B\;\;\;$ $A$ ohne $B$\\
$A \cup B\;\;\;$ Vereinigung\\
$A \dcup B\;\;\;$ Disjunkte Vereinigung\\
$A \cap B\;\;\;$ Schnitt\\

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% Gruppen                                                           %
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\section*{Gruppen}
$\text{Homöo}(X)\;\;\;$ Homöomorphismengruppe\\
$\text{Iso}(X)\;\;\;$ Isometriengruppe\\
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