# HG changeset patch # User Markus Kaiser # Date 1385418013 -3600 # Node ID f52078f78e6078ebc3e49b171235aa1db4da691b # Parent 4436f8006ebd2778f653d69a0f494f7098d1eebf fix arrows in early slides diff -r 4436f8006ebd -r f52078f78e60 notes/tex/basics.tex --- a/notes/tex/basics.tex Mon Nov 25 23:16:14 2013 +0100 +++ b/notes/tex/basics.tex Mon Nov 25 23:20:13 2013 +0100 @@ -80,7 +80,7 @@ \end{description} \item Relationen zwischen Mengen \begin{description}[\qquad\qquad] - \item[$B \subseteq A$] $B$ ist Teilmenge von $A$, \quad $x \in B \Rightarrow x \in A$ + \item[$B \subseteq A$] $B$ ist Teilmenge von $A$, \quad $x \in B \rightarrow x \in A$ \item[$B \subset A$] $B$ ist echte Teilmenge von $A$ \item[$B = A$] $B \subseteq A$ und $A \subseteq B$ \end{description} @@ -373,11 +373,11 @@ \item[reflexiv] $ \forall a\hphantom{, b, c} \in M.\ (a, a) \in R$ \item[total] $ \forall a, b\hphantom{, c} \in M.\ (a, b) \in R \vee (b, a) \in R$ \medskip - \item[symmetrisch] $ \forall a, b\hphantom{, c} \in M.\ (a, b) \in R \hphantom{{}\wedge (b, a) \in R}\Rightarrow (b,a ) \in R$ - \item[asymmetrisch] $ \forall a, b\hphantom{, c} \in M.\ (a, b) \in R \hphantom{{}\wedge (b, a) \in R}\Rightarrow (b,a ) \not\in R$ - \item[antisymmetrisch] $ \forall a, b\hphantom{, c} \in M.\ (a, b) \in R \wedge (b, a) \in R \Rightarrow a \equiv b$ + \item[symmetrisch] $ \forall a, b\hphantom{, c} \in M.\ (a, b) \in R \hphantom{{}\wedge (b, a) \in R}\rightarrow (b,a ) \in R$ + \item[asymmetrisch] $ \forall a, b\hphantom{, c} \in M.\ (a, b) \in R \hphantom{{}\wedge (b, a) \in R}\rightarrow (b,a ) \not\in R$ + \item[antisymmetrisch] $ \forall a, b\hphantom{, c} \in M.\ (a, b) \in R \wedge (b, a) \in R \rightarrow a \equiv b$ \medskip - \item[transitiv] $ \forall a, b, c \in M.\ (a, b) \in R \wedge (b, c) \in R \Rightarrow (a, c) \in R$ + \item[transitiv] $ \forall a, b, c \in M.\ (a, b) \in R \wedge (b, c) \in R \rightarrow (a, c) \in R$ \end{description} \end{block} diff -r 4436f8006ebd -r f52078f78e60 notes/ue02_notes.pdf Binary file notes/ue02_notes.pdf has changed diff -r 4436f8006ebd -r f52078f78e60 notes/ue06_notes.pdf Binary file notes/ue06_notes.pdf has changed