Question

Given $n \sim r \iff n \equiv r \pmod d$, prove $\sim$ is an equivalence relation.

score 98 · Answer 1 · 2014-10-20 12:32:55

98

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Given $n \sim r \iff n \equiv r \pmod d$, prove $\sim$ is an equivalence relation.

Published on 20 Oct 2014 - 12:32

score 162 · Answer 2 · 2026-03-29 12:40:32

162

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$A = \mathbb{R}$ , and $a\mathrel{p} b$ if and only if $\sin a = \sin b$

Published on 29 Mar 2026 - 12:40

score 3.2k · Answer 3 · 2014-10-21 02:46:39

Let A be a non-empty set, and p an equivalence relation on A . Let a , b be an element of A . Prove that [ a ] = [ b ] is equivalent to apb

score 923 · Answer 4 · 2026-03-26 14:42:50

923

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determining reflective, symmetric, transitive, anti-symmetric properties and describing equivalence classes

Published on 26 Mar 2026 - 14:42

score 126 · Answer 5 · 2026-03-29 12:40:26

126

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Restriction of an equivalence relation on a subset.

Published on 29 Mar 2026 - 12:40

score 37 · Answer 6 · 2014-10-23 23:31:01

37

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Quick question: functions to spaces with equivalence relations

Published on 23 Oct 2014 - 23:31

score 1.7k · Answer 7 · 2014-10-24 00:04:48

1.7k

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Equivalence Relations on Set of Ordered Pairs

Published on 24 Oct 2014 - 0:04

score 6.3k · Answer 8 · 2014-10-26 00:07:21

6.3k

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Let $G$ be a group. Prove the equivalence relation: If $H$ is a subgroup of $G$, let $a \sim b$ iff $ab^{-1} \in H$

Published on 26 Oct 2014 - 0:07

score 269 · Answer 9 · 2026-03-29 14:02:12

269

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The relation $a + d = b + c$ between pairs $(a, b)$, $(c, d)$ is an equivalence relation

Published on 29 Mar 2026 - 14:02

score 232 · Answer 10 · 2026-03-28 06:40:07

232

Views

Is a subobject classifier logically equivalent to set-inclusion?

Published on 28 Mar 2026 - 6:40

score 147 · Answer 11 · 2026-03-26 18:57:44

147

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Equivalence classes, relation, partitions

Published on 26 Mar 2026 - 18:57

score 11.5k · Answer 12 · 2026-03-29 14:03:03

11.5k

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to find the smallest and largest number of equivalence relation in a set

Published on 29 Mar 2026 - 14:03

score 198 · Answer 13 · 2014-10-27 23:16:14

198

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How to show that $(a \sim b \iff n | a−b)$ is an equivalence relation?

Published on 27 Oct 2014 - 23:16

score 81 · Answer 14 · 2014-10-28 01:24:21

81

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Equivalence Relation and functions question

Published on 28 Oct 2014 - 1:24

score 1.1k · Answer 15 · 2014-10-28 02:36:16

1.1k

Views

Well-defined functions on equivalence classes

Published on 28 Oct 2014 - 2:36

List Question

Given $n \sim r \iff n \equiv r \pmod d$, prove $\sim$ is an equivalence relation.

$A = \mathbb{R}$ , and $a\mathrel{p} b$ if and only if $\sin a = \sin b$

Let A be a non-empty set, and p an equivalence relation on A . Let a , b be an element of A . Prove that [ a ] = [ b ] is equivalent to apb

determining reflective, symmetric, transitive, anti-symmetric properties and describing equivalence classes

Restriction of an equivalence relation on a subset.

Quick question: functions to spaces with equivalence relations

Equivalence Relations on Set of Ordered Pairs

Let $G$ be a group. Prove the equivalence relation: If $H$ is a subgroup of $G$, let $a \sim b$ iff $ab^{-1} \in H$

The relation $a + d = b + c$ between pairs $(a, b)$, $(c, d)$ is an equivalence relation

Is a subobject classifier logically equivalent to set-inclusion?

Equivalence classes, relation, partitions

to find the smallest and largest number of equivalence relation in a set

How to show that $(a \sim b \iff n | a−b)$ is an equivalence relation?

Equivalence Relation and functions question

Well-defined functions on equivalence classes

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