Question

Equivalence of partitions of integers problem

score 30 · Answer 1 · 2026-03-30 17:15:43

30

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Equivalence of partitions of integers problem

Published on 30 Mar 2026 - 17:15

score 44 · Answer 2 · 2017-12-08 01:33:22

44

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Equivalence class of a number on a relation?

Published on 08 Dec 2017 - 1:33

score 131 · Answer 3 · 2017-12-09 17:07:23

131

Views

If $|f''| < M|f '|$ and $f \sim_{+\infty} \exp$, then $f' \sim_{+\infty} \exp$.

Published on 09 Dec 2017 - 17:07

score 57 · Answer 4 · 2017-12-09 17:53:49

57

Views

Relations, Equivalence Relations, Partitions

Published on 09 Dec 2017 - 17:53

score 105 · Answer 5 · 2017-12-11 17:40:09

105

Views

Translate into first order logic: "$R$ has at least two classes of equivalence" and "$R$ has exactly two classes of equivalence"

Published on 11 Dec 2017 - 17:40

score 117 · Answer 6 · 2026-04-08 10:51:47

117

Views

Asymptotic behaviour for an integral with parameter $n$

Published on 08 Apr 2026 - 10:51

score 141 · Answer 7 · 2017-12-11 18:35:16

Let $\mathcal A$ be a family of equivalence relations on $X$. Prove that $\bigcap_{\mathcal{R}\in\mathcal{A}} \mathcal R$ is an equivalence relation

score 128 · Answer 8 · 2026-03-26 22:55:43

128

Views

Translate into a first order logic: "The equivalence classes with respect to $R$ of $a$ and $b$ are identical"

Published on 26 Mar 2026 - 22:55

score 349 · Answer 9 · 2017-12-12 20:32:40

349

Views

Prove that $E \circ E=E$ (the composition of two equivalence relations is an equivalence relation)

Published on 12 Dec 2017 - 20:32

score 313 · Answer 10 · 2017-12-13 21:20:59

313

Views

Prove that $E$ is an equivalence relation, where $E$ is given by $qr=s$ for some $q\in\mathbb Q^*$

Published on 13 Dec 2017 - 21:20

score 2.3k · Answer 11 · 2017-12-15 04:09:09

2.3k

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The set of all equivalence classes of an equivalence relation on a uncountable set may be countable or uncountable.

Published on 15 Dec 2017 - 4:09

score 64 · Answer 12 · 2017-12-15 15:05:07

64

Views

How to prove that an equivalence relation $E$ over a set $A$ satisfying $|A|^3=|A|$ will satisfy $|E|=|A|$?

Published on 15 Dec 2017 - 15:05

score 178 · Answer 13 · 2017-12-16 08:30:47

178

Views

Help With Proof of Theorem 1.A. in "Topics in Algebra"

Published on 16 Dec 2017 - 8:30

score 2.4k · Answer 14 · 2017-12-16 10:28:27

2.4k

Views

Union and intersection of two different relations

Published on 16 Dec 2017 - 10:28

score 110 · Answer 15 · 2026-03-28 23:18:28

110

Views

Hilbert system equivalence

Published on 28 Mar 2026 - 23:18

List Question

Equivalence of partitions of integers problem

Equivalence class of a number on a relation?

If $|f''| < M|f '|$ and $f \sim_{+\infty} \exp$, then $f' \sim_{+\infty} \exp$.

Relations, Equivalence Relations, Partitions

Translate into first order logic: "$R$ has at least two classes of equivalence" and "$R$ has exactly two classes of equivalence"

Asymptotic behaviour for an integral with parameter $n$

Let $\mathcal A$ be a family of equivalence relations on $X$. Prove that $\bigcap_{\mathcal{R}\in\mathcal{A}} \mathcal R$ is an equivalence relation

Translate into a first order logic: "The equivalence classes with respect to $R$ of $a$ and $b$ are identical"

Prove that $E \circ E=E$ (the composition of two equivalence relations is an equivalence relation)

Prove that $E$ is an equivalence relation, where $E$ is given by $qr=s$ for some $q\in\mathbb Q^*$

The set of all equivalence classes of an equivalence relation on a uncountable set may be countable or uncountable.

How to prove that an equivalence relation $E$ over a set $A$ satisfying $|A|^3=|A|$ will satisfy $|E|=|A|$?

Help With Proof of Theorem 1.A. in "Topics in Algebra"

Union and intersection of two different relations

Hilbert system equivalence

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