Question

Combinatorics Theory

score 32 · Answer 1 · 2020-06-05 16:47:41

32

Views

Combinatorics Theory

Published on 05 Jun 2020 - 16:47

score 301 · Answer 2 · 2020-06-05 19:43:51

301

Views

Proof of "For transitive closure of a relation $R$ on a finite set with $n$ elements it is sufficient to find $R^*=\bigcup_{k=1}^n R^k$"

Published on 05 Jun 2020 - 19:43

score 34 · Answer 3 · 2020-06-06 03:51:25

34

Views

Relations-Equivalence Relation

Published on 06 Jun 2020 - 3:51

score 124 · Answer 4 · 2020-06-06 08:01:59

124

Views

Definition of Equivalence Relation

Published on 06 Jun 2020 - 8:01

score 97 · Answer 5 · 2026-03-26 13:45:57

97

Views

Suppose $b$ is the smallest element of $B$. Then $b$ is also a minimal element of $B$, and it is the only minimal element.

Published on 26 Mar 2026 - 13:45

score 184 · Answer 6 · 2020-06-06 19:38:11

184

Views

Intuitive logic behind the fact that a partial ordering is reflexive

Published on 06 Jun 2020 - 19:38

score 90 · Answer 7 · 2026-03-26 13:46:33

90

Views

Suppose $b$ is the smallest element of $B$. Then $b$ is also a minimal element of $B$.

Published on 26 Mar 2026 - 13:46

score 95 · Answer 8 · 2026-03-27 05:59:36

95

Views

What is meaning of $X/P$? ($X$ is a set and $P$ is a partition)

Published on 27 Mar 2026 - 5:59

score 54 · Answer 9 · 2026-03-26 04:28:30

54

Views

How much structure do morphisms have?

Published on 26 Mar 2026 - 4:28

score 178 · Answer 10 · 2020-06-12 08:17:53

178

Views

How to prove reflexivity, symmetry or antisymmetry and transitivity

Published on 12 Jun 2020 - 8:17

score 2.6k · Answer 11 · 2026-03-28 20:37:48

2.6k

Views

Is this a valid way of saying "exactly two..."? $\exists x \exists!y((x \ne y) \wedge P(x) \wedge P(y))$

Published on 28 Mar 2026 - 20:37

score 143 · Answer 12 · 2020-06-14 17:33:19

143

Views

Isomorphism of algebraic structures as an isomorphism of relational structures

Published on 14 Jun 2020 - 17:33

score 52 · Answer 13 · 2020-06-16 10:59:51

52

Views

Why is this not an equivalence relation on real functions? $(\exists c\in\mathbb{R})(\forall x\in\mathbb{R})|f(x)-g(x)|=c$

Published on 16 Jun 2020 - 10:59

score 146 · Answer 14 · 2020-06-16 19:27:28

146

Views

Is it provable from Zermelo–Fraenkel Set Theory, that if a countable set of sets exists, then this other countable set of sets exists?

Published on 16 Jun 2020 - 19:27

score 79 · Answer 15 · 2020-06-17 15:49:46

79

Views

Why is it necessary to exclude empty set to accomplish this relation proof?

Published on 17 Jun 2020 - 15:49

List Question

Combinatorics Theory

Proof of "For transitive closure of a relation $R$ on a finite set with $n$ elements it is sufficient to find $R^*=\bigcup_{k=1}^n R^k$"

Relations-Equivalence Relation

Definition of Equivalence Relation

Suppose $b$ is the smallest element of $B$. Then $b$ is also a minimal element of $B$, and it is the only minimal element.

Intuitive logic behind the fact that a partial ordering is reflexive

Suppose $b$ is the smallest element of $B$. Then $b$ is also a minimal element of $B$.

What is meaning of $X/P$? ($X$ is a set and $P$ is a partition)

How much structure do morphisms have?

How to prove reflexivity, symmetry or antisymmetry and transitivity

Is this a valid way of saying "exactly two..."? $\exists x \exists!y((x \ne y) \wedge P(x) \wedge P(y))$

Isomorphism of algebraic structures as an isomorphism of relational structures

Why is this not an equivalence relation on real functions? $(\exists c\in\mathbb{R})(\forall x\in\mathbb{R})|f(x)-g(x)|=c$

Is it provable from Zermelo–Fraenkel Set Theory, that if a countable set of sets exists, then this other countable set of sets exists?

Why is it necessary to exclude empty set to accomplish this relation proof?

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