Question

Number of distinct equivalence classes under *-congruence and T-congruence

score 997 · Answer 1 · 2026-03-25 04:10:49

997

Views

Number of distinct equivalence classes under *-congruence and T-congruence

Published on 25 Mar 2026 - 4:10

score 204 · Answer 2 · 2026-03-25 01:29:08

204

Views

Given an equivalence relation ${\sim} \in \Pi(U(X))$, is the meet of all the congruences $R \geq {\sim}$ a congruence?

Published on 25 Mar 2026 - 1:29

score 53 · Answer 3 · 2026-03-25 07:49:06

53

Views

Proving That $R$ is an Equivalence Relation: Is This Solution Proof for Transitivity Incorrect?

Published on 25 Mar 2026 - 7:49

score 220 · Answer 4 · 2026-03-25 07:46:30

220

Views

If $\forall x,y \in B$ if $(x,y) \in S$ and if $x+y$ is even then $x=y$ then each class of $S$ has at most $2$ elements

Published on 25 Mar 2026 - 7:46

score 11.2k · Answer 5 · 2026-03-25 06:03:29

11.2k

Views

prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$

Published on 25 Mar 2026 - 6:03

score 1k · Answer 6 · 2026-03-25 06:05:23

1k

Views

Equivalence Classes for $R = \{ (x, y) \ | \ f(x) = f(y) \}$

Published on 25 Mar 2026 - 6:05

score 172 · Answer 7 · 2026-03-25 07:45:47

172

Views

For each $y \in Y$, the pre-image of $y$, usually denoted $f^{-1}(y)$, is an equivalence class. How does this qualify as an equivalence class?

Published on 25 Mar 2026 - 7:45

score 1.6k · Answer 8 · 2026-03-25 07:44:55

1.6k

Views

Equivalence Relations: x~y if and only if {x,y} ⊂ X or {x,y} ⊂ (Y\X)

Published on 25 Mar 2026 - 7:44

score 56 · Answer 9 · 2026-03-22 06:18:16

56

Views

Set Theory\ Equivalence Relations

Published on 22 Mar 2026 - 6:18

score 918 · Answer 10 · 2026-03-26 03:30:15

918

Views

Why do we need to define Lebesgue spaces using equivalence classes?

Published on 26 Mar 2026 - 3:30

score 1.8k · Answer 11 · 2026-03-22 09:41:29

1.8k

Views

Equivalence Relation IFF (a+b)\2

Published on 22 Mar 2026 - 9:41

score 282 · Answer 12 · 2026-03-25 09:27:41

282

Views

Smallest pairs to be added to a set to make it an equivalence relation

Published on 25 Mar 2026 - 9:27

score 43 · Answer 13 · 2026-03-22 13:13:51

43

Views

R is a relation over P(S): R = {(C, D) ∈ P (S)^{2} : C ∩ E = D ∩ E} is R an Equivalence relation?

Published on 22 Mar 2026 - 13:13

score 1.2k · Answer 14 · 2026-03-25 20:41:04

1.2k

Views

How many classes does the equivalence relation partition the set?

Published on 25 Mar 2026 - 20:41

score 59 · Answer 15 · 2026-03-22 09:41:40

59

Views

Equivalence Relations of pairs

Published on 22 Mar 2026 - 9:41

List Question

Number of distinct equivalence classes under *-congruence and T-congruence

Given an equivalence relation ${\sim} \in \Pi(U(X))$, is the meet of all the congruences $R \geq {\sim}$ a congruence?

Proving That $R$ is an Equivalence Relation: Is This Solution Proof for Transitivity Incorrect?

If $\forall x,y \in B$ if $(x,y) \in S$ and if $x+y$ is even then $x=y$ then each class of $S$ has at most $2$ elements

prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$

Equivalence Classes for $R = \{ (x, y) \ | \ f(x) = f(y) \}$

For each $y \in Y$, the pre-image of $y$, usually denoted $f^{-1}(y)$, is an equivalence class. How does this qualify as an equivalence class?

Equivalence Relations: x~y if and only if {x,y} ⊂ X or {x,y} ⊂ (Y\X)

Set Theory\ Equivalence Relations

Why do we need to define Lebesgue spaces using equivalence classes?

Equivalence Relation IFF (a+b)\2

Smallest pairs to be added to a set to make it an equivalence relation

R is a relation over P(S): R = {(C, D) ∈ P (S)^{2} : C ∩ E = D ∩ E} is R an Equivalence relation?

How many classes does the equivalence relation partition the set?

Equivalence Relations of pairs

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