Question

Are equivalence relations total, i.e. are all elements of an equivalence relation related one to each other?

score 1.8k · Answer 1 · 2026-04-29 12:55:40

1.8k

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Are equivalence relations total, i.e. are all elements of an equivalence relation related one to each other?

Published on 29 Apr 2026 - 12:55

score 105 · Answer 2 · 2026-05-10 13:48:06

105

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Proving relation $R$ is a equivalence relation on the given set $S$

Published on 10 May 2026 - 13:48

score 98 · Answer 3 · 2026-03-25 01:23:48

98

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Prove that R is an equivalence relation on S.

Published on 25 Mar 2026 - 1:23

score 909 · Answer 4 · 2026-03-25 01:17:14

909

Views

Show that $R^{-1}=R=R \circ R$ implies $R$ is an equivalence relation

Published on 25 Mar 2026 - 1:17

score 112 · Answer 5 · 2026-04-10 04:16:59

112

Views

In what way is a partial function different from a partial transformation when both can always express the other's associated total function?

Published on 10 Apr 2026 - 4:16

score 4.2k · Answer 6 · 2026-03-25 01:14:55

4.2k

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Is A Purely Reflexive Relation Automatically Transitive?

Published on 25 Mar 2026 - 1:14

score 730 · Answer 7 · 2026-04-29 12:46:03

730

Views

Significance of reflexive and transitive closure in String, Language & CFG

Published on 29 Apr 2026 - 12:46

score 35 · Answer 8 · 2026-03-25 01:18:11

Define $R$ to be a relation on integers such that $a\,R\,b$ if $|a-1| \leq |b-1|$. Is $R$ a partial order on $\mathbb{Z}$?

score 49 · Answer 9 · 2026-03-25 03:02:40

$R$ is a partial order on nonempty finite set $S$, does $S$ contain an element $b$ such that if $aRb$ implies $a = b$

score 381 · Answer 10 · 2026-03-25 01:23:54

381

Views

The complement of an asymmetric relation is nonsymmetric?

Published on 25 Mar 2026 - 1:23

score 1k · Answer 11 · 2026-03-25 01:23:57

1k

Views

Reflexive, symmetric, transitive, antisymmetric, equivalence or partial order

Published on 25 Mar 2026 - 1:23

score 5.2k · Answer 12 · 2026-04-05 16:18:30

5.2k

Views

Total order and Total relation

Published on 05 Apr 2026 - 16:18

score 1k · Answer 13 · 2026-03-25 01:23:57

1k

Views

Intersection of 2 anti-symmetric relation

Published on 25 Mar 2026 - 1:23

score 186 · Answer 14 · 2026-04-29 12:56:40

186

Views

For a three element set ${a, b, c}$, are there any partial orders $R$ that $a$ is the only minimal element under $R$

Published on 29 Apr 2026 - 12:56

score 1.7k · Answer 15 · 2026-03-25 01:17:06

1.7k

Views

Basics of "Concept of relation" and "less than equal to"

Published on 25 Mar 2026 - 1:17

List Question

Are equivalence relations total, i.e. are all elements of an equivalence relation related one to each other?

Proving relation $R$ is a equivalence relation on the given set $S$

Prove that R is an equivalence relation on S.

Show that $R^{-1}=R=R \circ R$ implies $R$ is an equivalence relation

In what way is a partial function different from a partial transformation when both can always express the other's associated total function?

Is A Purely Reflexive Relation Automatically Transitive?

Significance of reflexive and transitive closure in String, Language & CFG

Define $R$ to be a relation on integers such that $a\,R\,b$ if $|a-1| \leq |b-1|$. Is $R$ a partial order on $\mathbb{Z}$?

$R$ is a partial order on nonempty finite set $S$, does $S$ contain an element $b$ such that if $aRb$ implies $a = b$

The complement of an asymmetric relation is nonsymmetric?

Reflexive, symmetric, transitive, antisymmetric, equivalence or partial order

Total order and Total relation

Intersection of 2 anti-symmetric relation

For a three element set ${a, b, c}$, are there any partial orders $R$ that $a$ is the only minimal element under $R$

Basics of "Concept of relation" and "less than equal to"

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