Question

Prove $\mathcal T∘\mathcal R=\mathcal T∘\mathcal S$ for any $\mathcal T$ iff $\mathcal R∘\mathcal T=\mathcal S∘\mathcal T$ for any $\mathcal T$.

score 95 · Answer 1 · 2023-08-08 14:02:48

95

Views

Prove $\mathcal T∘\mathcal R=\mathcal T∘\mathcal S$ for any $\mathcal T$ iff $\mathcal R∘\mathcal T=\mathcal S∘\mathcal T$ for any $\mathcal T$.

Published on 08 Aug 2023 - 14:02

score 75 · Answer 2 · 2023-08-09 10:50:36

75

Views

Does Graph And Relation Mean The Same Thing?

Published on 09 Aug 2023 - 10:50

score 74 · Answer 3 · 2026-04-02 20:51:04

74

Views

Confused on Equivalence Relation

Published on 02 Apr 2026 - 20:51

score 39 · Answer 4 · 2026-03-29 12:31:58

39

Views

The set of predecessors of a node in a tree is finite?

Published on 29 Mar 2026 - 12:31

score 67 · Answer 5 · 2023-08-14 13:22:58

67

Views

How to write connected relation $\mathcal{R}$ in terms of set notation only.

Published on 14 Aug 2023 - 13:22

score 24 · Answer 6 · 2026-03-27 16:47:38

24

Views

Showing that a union of subset partition spans a whole set

Published on 27 Mar 2026 - 16:47

score 34 · Answer 7 · 2026-03-26 12:52:59

34

Views

Prove equivalence between properties of relations using fixpoint calculus

Published on 26 Mar 2026 - 12:52

score 72 · Answer 8 · 2026-03-27 14:59:04

72

Views

equivalence relations divides sets into partitions whose union is the set but if some elements of the set aren't in the relation how does this work?

Published on 27 Mar 2026 - 14:59

score 27 · Answer 9 · 2023-08-19 15:39:11

27

Views

Find the domain, the range and the image of a relation which is intersection of relations.

Published on 19 Aug 2023 - 15:39

score 23 · Answer 10 · 2023-08-22 05:10:17

23

Views

Prove that if A is a finite non-empty partial order set and it has a unique maximal element, then it is the greatest element (proof by contradiction)

Published on 22 Aug 2023 - 5:10

score 57 · Answer 11 · 2026-04-02 22:43:14

57

Views

Proof that the relation isn't an equivalence relation

Published on 02 Apr 2026 - 22:43

score 113 · Answer 12 · 2023-08-25 12:06:33

A relation $R$ is defined on $\mathbb{N}$ by $aRb$ if $a|b$ $\in \mathbb{N}$. For $c, d \in \mathbb{N}$, under what condition is $c R^{-1} d$?

score 55 · Answer 13 · 2023-09-02 19:54:29

55

Views

Clarification over an ambiguity in regards to the definition of functions.

Published on 02 Sep 2023 - 19:54

score 228 · Answer 14 · 2026-04-02 22:39:23

228

Views

What is the correct answer for why the relation $R = \{(1,1),(2,2),(3,3),(1,2)\}$ on the set $A = \{1,2,3\}$ is transitive?

Published on 02 Apr 2026 - 22:39

score 41 · Answer 15 · 2023-09-14 00:45:50

41

Views

Cardinality of a relation

Published on 14 Sep 2023 - 0:45

List Question

Prove $\mathcal T∘\mathcal R=\mathcal T∘\mathcal S$ for any $\mathcal T$ iff $\mathcal R∘\mathcal T=\mathcal S∘\mathcal T$ for any $\mathcal T$.

Does Graph And Relation Mean The Same Thing?

Confused on Equivalence Relation

The set of predecessors of a node in a tree is finite?

How to write connected relation $\mathcal{R}$ in terms of set notation only.

Showing that a union of subset partition spans a whole set

Prove equivalence between properties of relations using fixpoint calculus

equivalence relations divides sets into partitions whose union is the set but if some elements of the set aren't in the relation how does this work?

Find the domain, the range and the image of a relation which is intersection of relations.

Prove that if A is a finite non-empty partial order set and it has a unique maximal element, then it is the greatest element (proof by contradiction)

Proof that the relation isn't an equivalence relation

A relation $R$ is defined on $\mathbb{N}$ by $aRb$ if $a|b$ $\in \mathbb{N}$. For $c, d \in \mathbb{N}$, under what condition is $c R^{-1} d$?

Clarification over an ambiguity in regards to the definition of functions.

What is the correct answer for why the relation $R = \{(1,1),(2,2),(3,3),(1,2)\}$ on the set $A = \{1,2,3\}$ is transitive?

Cardinality of a relation

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