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+++ b/MafIA1/mafia.tex @@ -226,7 +226,7 @@ Jeder ist dazu aufgerufen, sich an der Entwicklung zu beteiligen! \begin{figure}[tbh] \centering - \includegraphics[width=0.7\linewidth]{ressources/GrundoperationenAussagenlogik} + \includegraphics[width=0.7\linewidth]{ressources/41_Grundoperationen_Aussagenlogik} \caption{Grundoperationen der Aussagenlogik} \label{fig:GrundoperationenAussagenlogik} \end{figure} @@ -295,6 +295,22 @@ Jeder ist dazu aufgerufen, sich an der Entwicklung zu beteiligen! \end{enumerate} \ex Sei $ M := \{x_1, \dots, x_n\} $\\ $ |P(M)| = |P(B_M)| = 2^M $ + + \subsection{Boolesche Algebra} + Gegeben sei $ R $, eine Relation auf dem kartesischen Produkt $ M \times N = \{x_1,\dots, x_n\} \times \{y_1, \dots, y_n\} $ + \begin{figure}[tbh] + \centering + \includegraphics[width=0.8\linewidth]{ressources/46_Boolesche_Algebra_xi_R_yj} + \caption{Die Relation $x_i R y_j$} + \label{fig:Boolsche_Algebra} + \end{figure} + $ $\\\\ + Falls $ M = N $ ist $ m = n $ + \begin{itemize} + 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Sprache und Logik - 2.1. Grundlagen - 2.2. Boolesche Funktionen 3. Zahlen 3.1. Peano-Axiome 3.2. Induktion @@ -60,3 +57,7 @@ Diese sind meist unvollständig und nur nach Lust und Laune erstellt, also Obach 1.1. Mengenlehre 1.2. Relationen 1.3. Funktionen/Abbildungen + + 2. Sprache und Logik + 2.1. Grundlagen + 2.2. Boolesche Funktionen