Question

Equivalence relation on $\mathbb{R}$: $x\sim y \iff x-y\in\mathbb{Q}$ - disjoint equivalence classes

score 383 · Answer 1 · 2026-03-23 04:19:05

Equivalence relation on $\mathbb{R}$: $x\sim y \iff x-y\in\mathbb{Q}$ - disjoint equivalence classes

Published on 23 Mar 2026 - 4:19

score 88 · Answer 2 · 2026-03-23 03:42:26

equivalence relation on $\mathbb{N}$ which has $7$ Equivalence Classes where $2$ are finite and $5$ other equivalence classes are infinite.

score 230 · Answer 3 · 2026-03-25 05:15:15

230

Views

Equivalence classes in $M_n(\mathbb{R})$

Published on 25 Mar 2026 - 5:15

score 185 · Answer 4 · 2026-03-25 16:13:59

185

Views

What's remarkable about this transfer of structure from $\Bbb Z[\frac12]$ to $\Bbb C$?

Published on 25 Mar 2026 - 16:13

score 2.9k · Answer 5 · 2026-03-25 22:06:23

2.9k

Views

Define a relation $∼$ on $ R$ by $x ∼ y$ if and only if $x + y \in \mathbb Q$. Is this an equivalance relation?

Published on 25 Mar 2026 - 22:06

score 67 · Answer 6 · 2026-03-25 14:19:26

67

Views

Is it possible to construct order types using sets?

Published on 25 Mar 2026 - 14:19

score 221 · Answer 7 · 2026-03-19 14:50:14

221

Views

Showing that this map descends to the quotient in an injective way

Published on 19 Mar 2026 - 14:50

score 75 · Answer 8 · 2026-03-23 13:21:38

75

Views

Show equivalence with Legendre symbol

Published on 23 Mar 2026 - 13:21

score 340 · Answer 9 · 2026-03-25 19:10:03

340

Views

Can we characterize the equivalence classes of matrices up to left multiplication by an orthogonal matrix?

Published on 25 Mar 2026 - 19:10

score 190 · Answer 10 · 2026-03-26 09:41:51

190

Views

prove $F$ is Independent of the choice of representative, and find $|[h]_{R_{h}}|$ as $h\in\mathbb{N}^{\mathbb{N}}$ and $R$ is an Equivalence relation

Published on 26 Mar 2026 - 9:41

score 62 · Answer 11 · 2026-03-26 01:09:15

62

Views

Finding equivalence classes under a relation

Published on 26 Mar 2026 - 1:09

score 2.5k · Answer 12 · 2026-03-26 19:38:33

2.5k

Views

Partition of Set: Proof

Published on 26 Mar 2026 - 19:38

score 201 · Answer 13 · 2026-03-25 06:18:57

201

Views

Proving that a map is bijective

Published on 25 Mar 2026 - 6:18

score 254 · Answer 14 · 2026-03-23 15:41:44

254

Views

Find the last digit of the integer $n = 29583^{206}$

Published on 23 Mar 2026 - 15:41

score 104 · Answer 15 · 2026-03-25 06:11:22

104

Views

Level sets and quotients on affine varieties

Published on 25 Mar 2026 - 6:11

List Question

Equivalence relation on $\mathbb{R}$: $x\sim y \iff x-y\in\mathbb{Q}$ - disjoint equivalence classes

equivalence relation on $\mathbb{N}$ which has $7$ Equivalence Classes where $2$ are finite and $5$ other equivalence classes are infinite.

Equivalence classes in $M_n(\mathbb{R})$

What's remarkable about this transfer of structure from $\Bbb Z[\frac12]$ to $\Bbb C$?

Define a relation $∼$ on $ R$ by $x ∼ y$ if and only if $x + y \in \mathbb Q$. Is this an equivalance relation?

Is it possible to construct order types using sets?

Showing that this map descends to the quotient in an injective way

Show equivalence with Legendre symbol

Can we characterize the equivalence classes of matrices up to left multiplication by an orthogonal matrix?

prove $F$ is Independent of the choice of representative, and find $|[h]_{R_{h}}|$ as $h\in\mathbb{N}^{\mathbb{N}}$ and $R$ is an Equivalence relation

Finding equivalence classes under a relation

Partition of Set: Proof

Proving that a map is bijective

Find the last digit of the integer $n = 29583^{206}$

Level sets and quotients on affine varieties

Trending Questions

Popular # Hahtags

Popular Questions