Question

Define a relation and find its equivalence classes.

score 1.5k · Answer 1 · 2026-04-04 13:38:38

1.5k

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Define a relation and find its equivalence classes.

Published on 04 Apr 2026 - 13:38

score 48 · Answer 2 · 2015-11-03 22:16:33

48

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I want to prove that $R^+ = R$ if $R$ is transitive.

Published on 03 Nov 2015 - 22:16

score 141 · Answer 3 · 2015-11-03 23:33:02

141

Views

to prove $(R\circ S)^\circ R = R\circ (S\circ R)^$

Published on 03 Nov 2015 - 23:33

score 22 · Answer 4 · 2015-11-04 00:12:26

22

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prove $R \subseteq S \Rightarrow R^+ \subseteq S$

Published on 04 Nov 2015 - 0:12

score 1.8k · Answer 5 · 2015-11-04 00:49:47

1.8k

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Decide whether a relation is reflexive, symmetric, and transitive?

Published on 04 Nov 2015 - 0:49

score 472 · Answer 6 · 2015-11-04 02:48:58

472

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Finding an Equivalence Relation from a Partition?

Published on 04 Nov 2015 - 2:48

score 37 · Answer 7 · 2015-11-04 04:24:55

37

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Let $f: A \to B$ and let $\{D_{α} : α\in Δ\}$ Prove that $f\left( \bigcup_{α\in Δ} D_{α}\right ) = \bigcup_{α\in Δ} f( D_{α})$

Published on 04 Nov 2015 - 4:24

score 348 · Answer 8 · 2015-11-04 08:50:21

348

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Relations on the set of all functions from Z to Z

Published on 04 Nov 2015 - 8:50

score 31 · Answer 9 · 2015-11-04 09:46:42

31

Views

Relation by induction

Published on 04 Nov 2015 - 9:46

score 50 · Answer 10 · 2015-11-04 20:17:44

50

Views

Relation is surjective iff $I_V=R^T \circ R$

Published on 04 Nov 2015 - 20:17

score 52 · Answer 11 · 2026-04-04 15:19:09

52

Views

Clarification needed, show it is not an equivalence relation: $a \sim b \Leftrightarrow (a>b \wedge b>a)$ for $a, b \in \mathbb{R}$.

Published on 04 Apr 2026 - 15:19

score 188 · Answer 12 · 2015-11-05 18:46:04

188

Views

Graph Generated by a Surjective Function

Published on 05 Nov 2015 - 18:46

score 175 · Answer 13 · 2015-11-05 22:32:29

175

Views

Prove there is a unique function $g : B \rightarrow A_1 \times \dotsc \times A_n$

Published on 05 Nov 2015 - 22:32

score 43 · Answer 14 · 2015-11-06 13:07:45

43

Views

Language for finding a function to relate two tables

Published on 06 Nov 2015 - 13:07

score 90 · Answer 15 · 2015-11-06 23:25:00

90

Views

Prove $f^{-1}(U_1 \times \cdots \times U_n) = \bigcap_{i \in I} (f_i)^{-1}(U_i)$

Published on 06 Nov 2015 - 23:25

List Question

Define a relation and find its equivalence classes.

I want to prove that $R^+ = R$ if $R$ is transitive.

to prove $(R\circ S)^\circ R = R\circ (S\circ R)^$

prove $R \subseteq S \Rightarrow R^+ \subseteq S$

Decide whether a relation is reflexive, symmetric, and transitive?

Finding an Equivalence Relation from a Partition?

Let $f: A \to B$ and let $\{D_{α} : α\in Δ\}$ Prove that $f\left( \bigcup_{α\in Δ} D_{α}\right ) = \bigcup_{α\in Δ} f( D_{α})$

Relations on the set of all functions from Z to Z

Relation by induction

Relation is surjective iff $I_V=R^T \circ R$

Clarification needed, show it is not an equivalence relation: $a \sim b \Leftrightarrow (a>b \wedge b>a)$ for $a, b \in \mathbb{R}$.

Graph Generated by a Surjective Function

Prove there is a unique function $g : B \rightarrow A_1 \times \dotsc \times A_n$

Language for finding a function to relate two tables

Prove $f^{-1}(U_1 \times \cdots \times U_n) = \bigcap_{i \in I} (f_i)^{-1}(U_i)$

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