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more examples for CAT and tikz template updated
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27
Material/CAT/complicated_example.tex
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27
Material/CAT/complicated_example.tex
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\documentclass{standalone}
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\usepackage{tikz, amsmath}
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\usepackage{tikz-qtree}
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\usetikzlibrary{cd}
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\usetikzlibrary{arrows}
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\usetikzlibrary{automata}
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\usetikzlibrary{babel}
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\usetikzlibrary{calc}
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\usetikzlibrary{fit}
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\usetikzlibrary{matrix}
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\usetikzlibrary{positioning}
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\usetikzlibrary{shapes.geometric}
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\usetikzlibrary{arrows.meta,bending}
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\begin{document}
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\begin{tikzcd}
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i \arrow[r,"\alpha"] & j \arrow[out=120,in=60,loop,"\beta_1"]
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\arrow[out=240,in=300,loop,swap, "\beta_2"]
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\end{tikzcd}
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\begin{tikzcd}
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i \arrow[r,"\alpha"] & j \arrow[loop above,"\beta_1"]
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\arrow[loop below, "\beta_2"]
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\arrow[loop right, "\beta_3"]
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\end{tikzcd}
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\end{document}
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21
Material/CAT/simple_example.tex
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21
Material/CAT/simple_example.tex
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\documentclass{standalone}
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\usepackage{tikz, amsmath}
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\usepackage{tikz-qtree}
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\usetikzlibrary{cd}
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\usetikzlibrary{arrows}
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\usetikzlibrary{automata}
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\usetikzlibrary{babel}
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\usetikzlibrary{calc}
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\usetikzlibrary{fit}
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\usetikzlibrary{matrix}
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\usetikzlibrary{positioning}
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\usetikzlibrary{shapes.geometric}
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\usetikzlibrary{arrows.meta,bending}
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\begin{document}
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\begin{tikzcd}
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\end{tikzcd}
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\end{document}
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34
Material/CAT/small_ones.tex
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34
Material/CAT/small_ones.tex
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\documentclass{standalone}
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\usepackage{tikz, amsmath}
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\usepackage{tikz-qtree}
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\usetikzlibrary{cd}
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\usetikzlibrary{arrows}
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\usetikzlibrary{automata}
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\usetikzlibrary{babel}
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\usetikzlibrary{calc}
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\usetikzlibrary{fit}
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\usetikzlibrary{matrix}
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\usetikzlibrary{positioning}
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\usetikzlibrary{shapes.geometric}
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\usetikzlibrary{arrows.meta,bending}
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\begin{document}
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\begin{tikzcd}
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[execute at end picture={
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\draw[{Hooks[width=+0pt 10.8,length=+0pt 3.6,harpoon,line cap=round]}->]
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(\tikzcdmatrixname-1-2) to[out=175,in=185,looseness=3]
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node[midway,left]{$i$} (\tikzcdmatrixname-3-2);
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\draw[-{Latex[bend]},thick] ([xshift=-0.35cm,yshift=0.45cm]\tikzcdmatrixname-2-2)
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arc(0:340:0.2);
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\draw[-{Latex[bend]},thick] ([xshift=-0.45cm,yshift=-0.45cm]\tikzcdmatrixname-2-2)
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arc(20:360:0.2);
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\draw[-{Latex[bend]},thick] ([xshift=0.55cm,yshift=-0.45cm]\tikzcdmatrixname-2-2)
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arc(20:360:0.2);
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}]
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& R \arrow[d, "f"] \arrow[ld, "\phi"', hook'] \arrow[rd, "\phi", hook] & \\
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R\left\lbrack\frac{1}{r}\right\rbrack \arrow[r, "\exists!F", two heads, dashed, hook] & {\frac{R[x]}{(rx-1)}} \arrow[r, "\exists!G", two heads, dashed, hook] & R\left\lbrack\frac{1}{r}\right\rbrack \\
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& {R[x]} \arrow[u, "\pi", two heads] \arrow[ru, "g"'] &
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\end{tikzcd}
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\end{document}
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@ -1,6 +1,7 @@
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\documentclass{standalone}
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\usepackage{tikz}
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\usepackage{tikz, amsmath}
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\usepackage{tikz-qtree}
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\usetikzlibrary{cd}
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\usetikzlibrary{arrows}
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@ -11,6 +12,7 @@
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\usetikzlibrary{matrix}
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\usetikzlibrary{positioning}
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\usetikzlibrary{shapes.geometric}
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\usetikzlibrary{arrows.meta,bending}
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\begin{document}
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\begin{tikzcd}
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