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MATH2-Inf-10: Aufgabe 1 bearbeitet.
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@ -37,7 +37,101 @@ Stephan Niendorf (6242417)}
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\title{Hausaufgaben zum 6. Januar}
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\maketitle
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\section{} %1
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\begin{tikzpicture}[node distance=2cm]
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\node (s) {s};
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\node (a) [above right=of s] {a};
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\node (b) [right=of s] {b};
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\node (c) [below right=of s] {c};
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\node (d) [right=of c] {d};
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\node (e) [right=of b] {e};
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\node (t) [right=of e] {t};
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\node (sCap) [below=0.1 of s] {(-, $\infty$)};
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\node (aCap) [above=0.1 of a] {(s, +, 3)};
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\node (bCap) [above=0.1 of b] {(s, +, 5)};
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\node (cCap) [below=0.1 of c] {(s, +, 6)};
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\node (tCap) [above=0.1 of t] {(a, +, 3)};
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\path[->] (s) edge[line width=2pt] node [above left] {0(3)} (a)
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(s) edge node [below] {0(5)} (b)
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(s) edge node [below left] {0(6)} (c)
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(a) edge[line width=2pt] node [above right] {0(5)} (t)
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(b) edge node [below] {0(2)} (e)
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(b) edge node [below left] {0(6)} (d)
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(c) edge node [below] {0(4)} (d)
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(d) edge node [below right] {0(5)} (t)
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(e) edge node [below] {0(3)} (t);
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\end{tikzpicture}
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\begin{tikzpicture}[node distance=2cm]
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\node (s) {s};
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\node (a) [above right=of s] {a};
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\node (b) [right=of s] {b};
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\node (c) [below right=of s] {c};
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\node (d) [right=of c] {d};
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\node (e) [right=of b] {e};
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\node (t) [right=of e] {t};
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\node (sCap) [below=0.1 of s] {(-, $\infty$)};
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\node (bCap) [above=0.1 of b] {(s, +, 5)};
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\node (cCap) [below=0.1 of c] {(s, +, 6)};
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\node (dCap) [below=0.1 of d] {(b, +, 6)};
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\node (tCap) [above=0.1 of t] {(d, +, 5)};
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\path[->] (s) edge node [above left] {3(3)} (a)
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(s) edge[line width=2pt] node [below] {0(5)} (b)
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(s) edge node [below left] {0(6)} (c)
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(a) edge node [above right] {3(5)} (t)
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(b) edge node [below] {0(2)} (e)
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(b) edge[line width=2pt] node [below left] {0(6)} (d)
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(c) edge node [below] {0(4)} (d)
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(d) edge[line width=2pt] node [below right] {0(5)} (t)
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(e) edge node [below] {0(3)} (t);
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\end{tikzpicture}
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\begin{tikzpicture}[node distance=2cm]
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\node (s) {s};
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\node (a) [above right=of s] {a};
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\node (b) [right=of s] {b};
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\node (c) [below right=of s] {c};
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\node (d) [right=of c] {d};
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\node (e) [right=of b] {e};
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\node (t) [right=of e] {t};
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\node (sCap) [below=0.1 of s] {(-, $\infty$)};
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\node (eCap) [below=0.1 of e] {(b, +, 2)};
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\node (cCap) [below=0.1 of c] {(s, +, 6)};
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\node (dCap) [below=0.1 of d] {(c, +, 4)};
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\node (tCap) [above=0.1 of t] {(e, +, 2)};
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\node (bCap) [above=0.1 of b] {(d, -, 5)};
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\path[->] (s) edge node [above left] {3(3)} (a)
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(s) edge node [below] {5(5)} (b)
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(s) edge[line width=2pt] node [below left] {0(6)} (c)
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(a) edge node [above right] {3(5)} (t)
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(b) edge[line width=2pt] node [below] {0(2)} (e)
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(b) edge[line width=2pt] node [below left] {5(6)} (d)
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(c) edge[line width=2pt] node [below] {0(4)} (d)
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(d) edge node [below right] {5(5)} (t)
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(e) edge[line width=2pt] node [below] {0(3)} (t);
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\end{tikzpicture}
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\begin{tikzpicture}[node distance=2cm]
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\node (s) {s};
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\node (a) [above right=of s] {a};
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\node (b) [right=of s] {b};
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\node (c) [below right=of s] {c};
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\node (d) [right=of c] {d};
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\node (e) [right=of b] {e};
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\node (t) [right=of e] {t};
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\node (sCap) [below=0.1 of s] {(-, $\infty$)};
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\node (cCap) [below=0.1 of c] {(s, +, 4)};
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\node (dCap) [below=0.1 of d] {(c, +, 2)};
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\node (bCap) [above=0.1 of b] {(d, -, 3)};
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\path[->] (s) edge node [above left] {3(3)} (a)
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(s) edge node [below] {5(5)} (b)
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(s) edge node [below left] {2(6)} (c)
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(a) edge node [above right] {3(5)} (t)
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(b) edge node [below] {2(2)} (e)
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(b) edge node [below left] {3(6)} (d)
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(c) edge node [below] {2(4)} (d)
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(d) edge node [below right] {5(5)} (t)
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(e) edge node [below] {2(3)} (t);
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\end{tikzpicture}
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\section{} %2
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\subsection{} %a
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\begin{alignat*}{9}
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