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Working with Equivalence Classes and Quotient Sets

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#elementary-set-theory #relations #equivalence-relations
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Showing a relationship is transitive

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#elementary-set-theory #relations #equivalence-relations
78
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Transformation or relation

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#elementary-set-theory #relations #equivalence-relations
7.5k
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How can I find the partitions of an equivalence relation?

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#equivalence-relations #set-partition
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Proving that $R$ is an equivalence relation.

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#logic #discrete-mathematics #equivalence-relations
178
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For a group $G$ and subgroup $H$, is $a \sim b \iff a^{-1}b\in H$ an equivalence relation even when $H$ is not normal?

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#abstract-algebra #group-theory #equivalence-relations #normal-subgroups #congruence-relations
762
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Equivalence classes of "$x \sim y \Longleftrightarrow x -y $ is rational".

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#equivalence-relations
46
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The cardinality of an equivalence relation over a set

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#cardinals #equivalence-relations
42
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Problem with showing existance of countable family of Borel subsets, equivalence relation

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#functions #equivalence-relations #borel-sets
174
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Transitive actions and equivalence relations (Berkeley Problems in Mathematics)

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#abstract-algebra #group-theory #equivalence-relations #group-actions
1k
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How to show that the logical equivalence relation, $\equiv$, is an equivalence relation on $F$

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#logic #equivalence-relations
105
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Angles between planes and the volume of a tetrahedron

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#trigonometry #area #equivalence-relations #volume #visualization
235
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partition and equivalence relation's classes

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#equivalence-relations #set-partition
133
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$R$ is a relation on the reals where $(a,b)\in R$ if $b-a\in \mathbb Q$, how many equivalence classes are there?

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#elementary-set-theory #cardinals #equivalence-relations
243
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Maps between Equivalence Relations and Partitions

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#functions #elementary-set-theory #proof-explanation #equivalence-relations #set-partition

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