Question

Prove $R$ is not an equivalence relation

score 189 · Answer 1 · 2026-04-07 18:07:38

189

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Prove $R$ is not an equivalence relation

Published on 07 Apr 2026 - 18:07

score 80 · Answer 2 · 2017-05-08 02:19:09

80

Views

What type of relation represents a function with two argument?

Published on 08 May 2017 - 2:19

score 53 · Answer 3 · 2026-04-01 17:04:32

53

Views

Inverse of this function.

Published on 01 Apr 2026 - 17:04

score 146 · Answer 4 · 2026-04-11 17:02:49

146

Views

In $E^1$, why is the binary relation $[0,1] \times [0,1]$ not reflexive?

Published on 11 Apr 2026 - 17:02

score 274 · Answer 5 · 2026-04-11 00:27:35

274

Views

Is the relation $R = \{a,b\}$ transitive?

Published on 11 Apr 2026 - 0:27

score 270 · Answer 6 · 2017-05-10 02:52:08

270

Views

Prove that if $R$ is reflexive so is $S$, given the following following relations

Published on 10 May 2017 - 2:52

score 493 · Answer 7 · 2026-04-09 11:33:24

493

Views

Trichotomy proof in elementary set theory of relations.

Published on 09 Apr 2026 - 11:33

score 2.7k · Answer 8 · 2026-04-09 03:34:19

2.7k

Views

If a subset of a partially ordered set has exactly one minimal element, must that element be a smallest element?

Published on 09 Apr 2026 - 3:34

score 2.5k · Answer 9 · 2017-05-17 13:50:30

2.5k

Views

Existence of the transitive closure for sets

Published on 17 May 2017 - 13:50

score 71 · Answer 10 · 2017-05-17 15:39:05

71

Views

Define a relation $M$ on $A×B$ Prove that $M \circ M = (A×A) × (A×B)$.

Published on 17 May 2017 - 15:39

score 75 · Answer 11 · 2026-04-11 21:42:29

75

Views

Is there a branch of mathematics that focuses on finding relationship between pairs?

Published on 11 Apr 2026 - 21:42

score 130 · Answer 12 · 2026-04-11 08:23:53

130

Views

Does Halmos' definition of an ordered pair lead to degenerate case for the relation of equality between sets?

Published on 11 Apr 2026 - 8:23

score 89 · Answer 13 · 2017-05-20 03:17:28

89

Views

There exists a notation to "equations" where the unknown to solve is a kind of relation?

Published on 20 May 2017 - 3:17

score 60 · Answer 14 · 2026-04-12 03:48:37

Suppose $R_{1}$ and $R_{2}$ are relations on $A$. If $R_{1}$ and $R_{2}$ are transitive, must $R_{1} \backslash R_{2}$ be transitive?

score 128 · Answer 15 · 2017-05-21 23:00:55

Let $σ$ be the relation on $R×R$ in which $(a,b) σ (x,y)$ if and only if $a ≤ x$ and $b ≤ y$. Prove that $σ$ is a partial order relation.

List Question

Prove $R$ is not an equivalence relation

What type of relation represents a function with two argument?

Inverse of this function.

In $E^1$, why is the binary relation $[0,1] \times [0,1]$ not reflexive?

Is the relation $R = \{a,b\}$ transitive?

Prove that if $R$ is reflexive so is $S$, given the following following relations

Trichotomy proof in elementary set theory of relations.

If a subset of a partially ordered set has exactly one minimal element, must that element be a smallest element?

Existence of the transitive closure for sets

Define a relation $M$ on $A×B$ Prove that $M \circ M = (A×A) × (A×B)$.

Is there a branch of mathematics that focuses on finding relationship between pairs?

Does Halmos' definition of an ordered pair lead to degenerate case for the relation of equality between sets?

There exists a notation to "equations" where the unknown to solve is a kind of relation?

Suppose $R_{1}$ and $R_{2}$ are relations on $A$. If $R_{1}$ and $R_{2}$ are transitive, must $R_{1} \backslash R_{2}$ be transitive?

Let $σ$ be the relation on $R×R$ in which $(a,b) σ (x,y)$ if and only if $a ≤ x$ and $b ≤ y$. Prove that $σ$ is a partial order relation.

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