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User:Paulmiko

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Contributions

User:Paulmiko/vector.css

Notes

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To-Do

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Interesting Pages

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Important style guides and useful help

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WIP

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Relations Chart

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Equivalence Relation Example

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An Equivalence Relation Partitions a set into Collectively Exhaustive and Mutually Exclusive subsets called Equivalence Classes.


Original Set


Partition


Graph


Directed Graph



Equivalence Classes form "Squares" in Matrices.
Matrix


Set Union can be used to test for Collectively Exhaustive (Union of all Equivalence Classes = Original Set) and Set Intersection for Mutually Exclusive (zero for any Intersection).