add Digitaltechnik and Lineare Algebra
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Lineare Algebra/inhalt/05_Relationen.tex
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Lineare Algebra/inhalt/05_Relationen.tex
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\section{Relationen}
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\subsection{Äquivalenzrelationen}
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\begin{itemize}
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\item \textbf{Reflexivität}: $x \sim x$ für alle $x \in R$
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\item \textbf{Symmetrie}: $x \sim y \in R \Rightarrow y \sim x \in R$
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\item \textbf{Transitivität}: $x \sim y \in R \land y \sim z \in R \Rightarrow x \sim z \in R$
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\end{itemize}
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\subsection{Ordnungsrelationen}
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\begin{itemize}
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\item \textbf{Antisymmetrie}: $x \sim y \in R \land y \sim x \in R \Rightarrow x = y$
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\item \textbf{Reflexiv}
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\item \textbf{Transitiv}
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\end{itemize}
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\subsection{strikte Ordnungsrelationen}
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\begin{itemize}
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\item \textbf{Asymmetrie}: $x \sim y \in R \land y \sim x \notin R$
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\item \textbf{Tansitivität}
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\end{itemize}
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