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Minimum size of a subset to know a complete total order

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#graph-theory #elementary-set-theory #order-theory #relations
786
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$x\sim y\iff x^2\equiv y^2\pmod{\!6}$ is an equivalence relation.

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#abstract-algebra #elementary-set-theory #relations
239
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Composition of relations

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#elementary-set-theory #relations
188
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Hints needed on basic proof involving functions and relations.

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#functions #relations
151
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About function inj, surj and something else. Is this exercise resolved correctly?

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#functions #order-theory #relations
1.5k
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The fibres of a map form a partition of the domain.

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#abstract-algebra #relations #equivalence-relations #set-partition
1.7k
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Find the number of binary relations.

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#relations
2k
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Branch of math studying relations

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#relations
83
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Two terminology question about relations

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#elementary-set-theory #terminology #relations
605
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Generating a minimal transitive relation containing a given collection of transitive relations

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#elementary-set-theory #relations
111
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An equation with arbitrary binary relations

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#functions #relations
166
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Making a reflexive and transitive relation into a partial order

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#elementary-set-theory #relations
667
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Smallest and biggest symmetric relations

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#elementary-set-theory #relations
1.6k
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Show that the restriction of an equivalence relation is an equivalence relation.

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#elementary-set-theory #relations #equivalence-relations
57
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Find the background position by mouse pos and its hit area

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#relations

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