getting rid of graphviz in favor to metapost FTW
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26c58f5509
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a14c69900c
1 changed files with 22 additions and 16 deletions
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@ -273,9 +273,9 @@ z0=(0,0);
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z1=2(u,0);
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z2=2(2u,0);
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draw edge(z0,z1);
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draw edge(z1,z2);
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draw edgeAngle(z0,z2,50);
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drawarrow nl_edge(z0,z1);
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drawarrow nl_edge(z1,z2);
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drawarrow nl_edgeAngle(z0,z2,50);
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drawstate(z0);
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drawstate(z1);
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@ -294,10 +294,10 @@ drawedge(z1,z2,btex $g$ etex);
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z0=(0,0); z1=(4u,0); z2=(2u,-3u);
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drawstate(z0); drawstate(z1); drawstate(z2);
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draw nl_edgeAngle(z0,z1,35);
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draw nl_edgeAngle(z1,z0,-145);
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draw edge(z0,z2);
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draw edge(z1,z2);
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drawarrow nl_edgeAngle(z0,z1,35);
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drawarrow nl_edgeAngle(z1,z0,-145);
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drawarrow nl_edge(z0,z2);
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drawarrow nl_edge(z1,z2);
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</mpost>
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<mpost title="Not a category; no \(A→C\) while there exists \(A→B\) and \(B→C\)">
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@ -306,17 +306,23 @@ drawState(z0,btex $A$ etex);
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drawState(z1,btex $B$ etex);
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drawState(z2,btex $C$ etex);
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draw edgeAngle(z0,z1,35);
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draw edgeAngle(z1,z0,-145);
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draw edge(z1,z2);
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draw edge(z2,z0);
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drawarrow edgeAngle(z0,z1,35);
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drawarrow edgeAngle(z1,z0,-145);
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drawarrow edge(z1,z2);
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drawarrow edge(z2,z0);
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</mpost>
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<graph title="Cannot be a category ; no possible associative ∘<br/>\((h∘g)∘f=idB∘f=f≠h=h∘idA=h∘(g∘f)\)">
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A -> B[label="g"]
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B -> A[label="f"]
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B -> A[label="h"]
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</graph>
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<mpost title="Cannot be a category ; no possible associative ∘<br/>\((h∘g)∘f=idB∘f=f≠h=h∘idA=h∘(g∘f)\)">
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z0=origin;
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z1=(gu,0);
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drawState(z0,btex $A$ etex);
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drawState(z1,btex $B$ etex);
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drawEdgeWithAngle(z1,z0,btex $f$ etex,145);
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drawEdge(z0,z1,btex $g$ etex);
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drawEdgeWithAngle(z1,z0,btex $h$ etex,-145);
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</mpost>
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To continue to gain some intuition I will give some degenerated Category examples.
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