inverse_closure.tex

Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

inverse_closure.tex

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1 \begin{tikzpicture}[font=\sffamily\small,>=Latex]
2 \foreach \x/\y/\n in {0/1/0,2/2/1,2/0/2,4/1/3}
3 \node[draw,circle,minimum size=8mm] (n\n) at (\x,\y) {$\n$};
4 \draw[->,thick] (n0)--node[above left] {$1$}(n1);
5 \draw[->,thick] (n0)--node[below left] {$1$}(n2);
6 \draw[->,thick] (n1)--node[above right] {$1$}(n3);
7 \draw[->,thick] (n2)--node[below right] {$-1$}(n3);
8 \draw[->,dashed,rounded corners=5pt] (n0.north)--(0,2.6)--(4,2.6)--(n3.north);
9 \node[anchor=south] at (2,2.8) {closure permits $0\to3$};
10 \node[anchor=west] at (5,1.8) {$K^2=0$};
11 \node[anchor=west] at (5,1) {$A^{-1}=I-K$};
12 \node[anchor=west] at (5,.2) {$(A^{-1})_{30}=0$};
13 \end{tikzpicture}

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