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Why is it that $x\sim y$ implies that $[x]=[y]$?

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#elementary-set-theory #proof-explanation #equivalence-relations
74
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Subsets of an equivalence relation- terminology question

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#elementary-set-theory #relations #equivalence-relations
102
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To be concave on $[0,1]$, $f(t)\leq f(0)+tf'(0)$ is enough?

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#convex-analysis #examples-counterexamples #equivalence-relations
342
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How to prove an equivalence relation of (a,b) | a and b have a common factor grater than 1?

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#discrete-mathematics #proof-verification #equivalence-relations
439
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Equivalence relations S on A with R being a relation on A with 4 equivalence classes.

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#relations #equivalence-relations
1.7k
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Group Z/3Z Proof of Subgroup.

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#equivalence-relations #normal-subgroups #quotient-group
123
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Why does it follow from $ns = 1 - ar$ that $ar \equiv 1 \mod n$?

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#abstract-algebra #modular-arithmetic #equivalence-relations
266
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Show that $xRy$ if and only if $x, y$ are in the same part of the partition defines an equivalence relation.

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#elementary-set-theory #relations #equivalence-relations #set-partition
830
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Equivalence relation gives unique partition?

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#abstract-algebra #elementary-set-theory #equivalence-relations #set-partition
78
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Algorithm for finding a "normal" form for a set of strings under character-mapping isomorphism?

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#number-theory #algorithms #equivalence-relations
394
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How do I describe a partition determined by $R$ by listing pieces?

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#relations #equivalence-relations #set-partition
45
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How to find the equivalence classes on a relation?

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#abstract-algebra #relations #equivalence-relations
29
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Help in defining a certain equivalence relation

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#definition #relations #equivalence-relations
108
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Question about Function and Equivalence Relations

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#functions #equivalence-relations
215
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Definition of a quotient group in Dummit-Foote

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#abstract-algebra #group-theory #equivalence-relations #quotient-spaces #quotient-group

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