Question

How to show $σ^{r}(i) = i$? ( $σ^r$ denotes the power of a relation obtained from repeated composition)

score 98 · Answer 1 · 2026-04-11 06:04:48

98

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How to show $σ^{r}(i) = i$? ( $σ^r$ denotes the power of a relation obtained from repeated composition)

Published on 11 Apr 2026 - 6:04

score 37 · Answer 2 · 2026-04-16 23:28:14

37

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$S = \{(x,y)|x,y \in\mathbb{R}, (x−y)/3\in\mathbb{Z}\}$ is a relation. Prove: $S$ is an equivalence relation.

Published on 16 Apr 2026 - 23:28

score 66 · Answer 3 · 2026-04-13 20:32:50

66

Views

maximal and minimal in elements of hasse diagram

Published on 13 Apr 2026 - 20:32

score 108 · Answer 4 · 2026-04-10 09:58:01

108

Views

Transform Relation to Total function

Published on 10 Apr 2026 - 9:58

score 16 · Answer 5 · 2026-04-11 06:39:28

16

Views

Function to get various numbers based on two inputs

Published on 11 Apr 2026 - 6:39

score 66 · Answer 6 · 2026-04-14 03:30:33

66

Views

Discrete Math - reflexive and symmetric demonstration

Published on 14 Apr 2026 - 3:30

score 52 · Answer 7 · 2026-04-14 10:10:36

52

Views

Reflexivity of a relation $R$ transfered to other relations

Published on 14 Apr 2026 - 10:10

score 43 · Answer 8 · 2026-04-12 20:09:55

43

Views

proving a relation has the transitive property

Published on 12 Apr 2026 - 20:09

score 38 · Answer 9 · 2026-04-15 17:30:52

38

Views

Relation that is reflexive but not transitive or similar.

Published on 15 Apr 2026 - 17:30

score 747 · Answer 10 · 2026-04-15 14:44:28

If a relation is defined such that $R=\{(A,B)\mid A \subseteq B\}$ then, I understand that, it's reflexive and transitive but is it symmetric.

score 807 · Answer 11 · 2026-04-13 17:38:32

807

Views

Let $R$ be an equivalence relation on a set $A$. Prove that if $y\in [x]$ then $[x] = [y]$ for any $x\in A$.

Published on 13 Apr 2026 - 17:38

score 2.8k · Answer 12 · 2026-04-17 01:05:53

2.8k

Views

Let $R$ be an equivalence relation on set $A$. Prove that for any $x,y \in A$ either $[x] = [y]$ or $[x] \cap [y] = \varnothing$.

Published on 17 Apr 2026 - 1:05

score 418 · Answer 13 · 2026-04-09 20:14:38

418

Views

Composition of a Realtion with identity is the relation itself

Published on 09 Apr 2026 - 20:14

score 61 · Answer 14 · 2026-04-15 03:38:21

61

Views

How do I prove or disprove these relation compositions?

Published on 15 Apr 2026 - 3:38

score 54 · Answer 15 · 2026-04-18 18:42:05

54

Views

Show that a binary relation ($a \le b$) or ($a = b$ and $c \leq d $) is an order relation

Published on 18 Apr 2026 - 18:42

List Question

How to show $σ^{r}(i) = i$? ( $σ^r$ denotes the power of a relation obtained from repeated composition)

$S = \{(x,y)|x,y \in\mathbb{R}, (x−y)/3\in\mathbb{Z}\}$ is a relation. Prove: $S$ is an equivalence relation.

maximal and minimal in elements of hasse diagram

Transform Relation to Total function

Function to get various numbers based on two inputs

Discrete Math - reflexive and symmetric demonstration

Reflexivity of a relation $R$ transfered to other relations

proving a relation has the transitive property

Relation that is reflexive but not transitive or similar.

If a relation is defined such that $R=\{(A,B)\mid A \subseteq B\}$ then, I understand that, it's reflexive and transitive but is it symmetric.

Let $R$ be an equivalence relation on a set $A$. Prove that if $y\in [x]$ then $[x] = [y]$ for any $x\in A$.

Let $R$ be an equivalence relation on set $A$. Prove that for any $x,y \in A$ either $[x] = [y]$ or $[x] \cap [y] = \varnothing$.

Composition of a Realtion with identity is the relation itself

How do I prove or disprove these relation compositions?

Show that a binary relation ($a \le b$) or ($a = b$ and $c \leq d $) is an order relation

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