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@@ -2,42 +2,6 @@
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\addcontentsline{toc}{chapter}{Symbolverzeichnis}
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\begin{minipage}[t]{0.45\textwidth}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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-% Zahlenmengen %
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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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-\section*{Zahlenmengen}
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-$\mdn\;\;\;$ Natürliche Zahlen\\
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-$\mdz\;\;\;$ Ganze Zahlen\\
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-$\mdq\;\;\;$ Rationale Zahlen\\
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-$\mdr\;\;\;$ Reele Zahlen\\
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-$\mdr^+\;\;\;$ Echt positive reele Zahlen\\
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-$\mdr^\times\;\;\;$ Einheitengruppe von $\mdr$\\
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-$\mdc\;\;\;$ Komplexe Zahlen\\
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-
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-\section*{Weiteres}
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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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-% Fraktale Symbole %
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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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-$\fB\;\;\;$ Basis einer Topologie\\
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-$\fB_\delta(x)\;\;\;$ $\delta$-Kugel um $x$\\
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-$\fT\;\;\;$ Topologie\\
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-
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-$\mdp\;\;\;$ Projektiver Raum\\
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-$\langle \cdot , \cdot \rangle\;\;\;$ Skalarprodukt\\
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-$X /_\sim\;\;\;$ $X$ modulo $\sim$\\
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-$[x]_\sim\;\;\;$ Äquivalenzklassen von $x$ bzgl. $\sim$\\
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-$\| x \|\;\;\;$ Norm von $x$\\
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-$| x |\;\;\;$ Betrag von $x$\\
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-$S^n\;\;\;$ Sphäre\\
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-$T^n\;\;\;$ Torus\\
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-$\pi_X\;\;\;$ Projektion auf $X$\\
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-$f^{-1}(M)\;\;\;$ Urbild von $M$\\
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-$\GL_n(K)\;\;\;$ Allgemeine lineare Gruppe (general linear group)\\
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-$\text{Rg}(M)\;\;\;$ Rang von $M$\\
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-$f|_U\;\;\;$ $f$ eingeschränkt auf $U$\\
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-
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-\end{minipage}
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-\begin{minipage}[t]{0.45\textwidth}
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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Mengenoperationen %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{Mengenoperationen}
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@@ -53,6 +17,21 @@ $A \setminus B\;\;\;$ $A$ ohne $B$\\
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$A \cup B\;\;\;$ Vereinigung\\
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$A \dcup B\;\;\;$ Disjunkte Vereinigung\\
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$A \cap B\;\;\;$ Schnitt\\
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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+% Zahlenmengen %
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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+\section*{Zahlenmengen}
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+$\mdn\;\;\;$ Natürliche Zahlen $(\Set{1, 2, 3, \dots})$\\
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+$\mdz\;\;\;$ Ganze Zahlen ($\mdn \cup \Set{0, -1, -2, \dots}$)\\
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+$\mdq\;\;\;$ Rationale Zahlen ($\mdz \cup \Set{\frac{1}{2}, \frac{1}{3}, \frac{2}{3}}$)\\
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+$\mdr\;\;\;$ Reele Zahlen ($\mdq \cup \Set{\sqrt{2}, -\sqrt[3]{3}, \dots}$)\\
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+$\mdr^+\;$ Echt positive reele Zahlen\\
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+$\mdr^\times\;$ Einheitengruppe von $\mdr$ ($\mdr \setminus \Set{0}$)\\
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+$\mdc\;\;\;$ Komplexe Zahlen ($\Set{a+ib|a,b \in \mdr}$)\\
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+$\mdp\;\;\;$ Primzahlen ($2, 3, 5, 7, \dots$)\\
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+
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+\end{minipage}
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+\begin{minipage}[t]{0.45\textwidth}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Gruppen %
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@@ -60,9 +39,27 @@ $A \cap B\;\;\;$ Schnitt\\
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\section*{Gruppen}
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$\text{Homöo}(X)\;\;\;$ Homöomorphismengruppe\\
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$\text{Iso}(X)\;\;\;$ Isometriengruppe\\
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-\end{minipage}
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-
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-
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+\section*{Weiteres}
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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+% Weiteres %
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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+$\fB\;\;\;$ Basis einer Topologie\\
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+$\fB_\delta(x)\;\;\;$ $\delta$-Kugel um $x$\\
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+$\fT\;\;\;$ Topologie\\
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+$\praum\;\;\;$ Projektiver Raum\\
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+$\langle \cdot , \cdot \rangle\;\;\;$ Skalarprodukt\\
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+$X /_\sim\;\;\;$ $X$ modulo $\sim$\\
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+$[x]_\sim\;\;\;$ Äquivalenzklassen von $x$ bzgl. $\sim$\\
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+$\| x \|\;\;\;$ Norm von $x$\\
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+$| x |\;\;\;$ Betrag von $x$\\
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+$S^n\;\;\;$ Sphäre\\
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+$T^n\;\;\;$ Torus\\
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+$\pi_X\;\;\;$ Projektion auf $X$\\
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+$f^{-1}(M)\;\;\;$ Urbild von $M$\\
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+$\GL_n(K)\;\;\;$ Allgemeine lineare Gruppe (general linear group)\\
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+$\text{Rg}(M)\;\;\;$ Rang von $M$\\
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+$f|_U\;\;\;$ $f$ eingeschränkt auf $U$\\
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+\end{minipage}
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