Question

Multiplication Law for Order on Integers

score 69 · Answer 1 · 2026-04-09 11:58:31

69

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Multiplication Law for Order on Integers

Published on 09 Apr 2026 - 11:58

score 39 · Answer 2 · 2021-09-17 15:11:15

39

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If $\: f:A\to B\:\text{ with }A⊇\{x\},\{y\}\quad$then is $\:f(x)\equiv f(y\mapsto x)\:\text{ & }\:f(y)\equiv f(x\mapsto y)$?

Published on 17 Sep 2021 - 15:11

score 411 · Answer 3 · 2026-04-11 21:54:58

411

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Given a set of both positive and negative numbers, what is a time optimal approach to find the two numbers whose sum, plus a third number is zero

Published on 11 Apr 2026 - 21:54

score 326 · Answer 4 · 2021-09-20 14:11:16

326

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Is this equivalence relation: $\{(1,2),(2,1),(1,1)\}$?

Published on 20 Sep 2021 - 14:11

score 48 · Answer 5 · 2026-04-10 10:17:44

48

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How to show that $(n\mathbb Z+a)(n\mathbb Z+b) = n\mathbb Z + (ab)$?

Published on 10 Apr 2026 - 10:17

score 64 · Answer 6 · 2021-09-23 15:36:49

64

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$ x_1,x_2 \in R $ are in $R$ relation if $x_1-x_2$ is integer. What are equivalent classes?

Published on 23 Sep 2021 - 15:36

score 119 · Answer 7 · 2026-04-11 13:39:39

119

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Cardinality of equivalence classes modulo a relation defined using two subgroups

Published on 11 Apr 2026 - 13:39

score 768 · Answer 8 · 2021-09-25 03:31:50

768

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Connected component of a graph and equivalence relation

Published on 25 Sep 2021 - 3:31

score 54 · Answer 9 · 2026-04-10 17:15:17

54

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How can I prove if $SR=RS$, then $SR$ is the least equivalence relation?

Published on 10 Apr 2026 - 17:15

score 208 · Answer 10 · 2026-04-12 02:05:12

208

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Find the function to show two intervals are equivalent

Published on 12 Apr 2026 - 2:05

score 133 · Answer 11 · 2021-09-29 18:02:04

133

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Is the relation $\sim$ an equivalence relation, where $(x_1,y_1)\sim(x_2,y_2)$ means that $(x_1, y_1)=(\lambda x_1,\lambda y_1)$ for some $\lambda$?

Published on 29 Sep 2021 - 18:02

score 286 · Answer 12 · 2021-10-01 23:16:45

286

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Equivalence relation and partition of set

Published on 01 Oct 2021 - 23:16

score 80 · Answer 13 · 2026-04-05 19:03:45

80

Views

Prove that $\tilde{f}$ is a well-defined bijection

Published on 05 Apr 2026 - 19:03

score 211 · Answer 14 · 2021-10-04 22:38:20

211

Views

Proof $U\sim V \iff \mu(U \Delta V)=0$

Published on 04 Oct 2021 - 22:38

score 96 · Answer 15 · 2021-10-07 22:16:44

96

Views

Showing that $x \sim y$ if $x^n=y^n$ defines an equivalence relation on group $G$.

Published on 07 Oct 2021 - 22:16

List Question

Multiplication Law for Order on Integers

If $\: f:A\to B\:\text{ with }A⊇\{x\},\{y\}\quad$then is $\:f(x)\equiv f(y\mapsto x)\:\text{ & }\:f(y)\equiv f(x\mapsto y)$?

Given a set of both positive and negative numbers, what is a time optimal approach to find the two numbers whose sum, plus a third number is zero

Is this equivalence relation: $\{(1,2),(2,1),(1,1)\}$?

How to show that $(n\mathbb Z+a)(n\mathbb Z+b) = n\mathbb Z + (ab)$?

$ x_1,x_2 \in R $ are in $R$ relation if $x_1-x_2$ is integer. What are equivalent classes?

Cardinality of equivalence classes modulo a relation defined using two subgroups

Connected component of a graph and equivalence relation

How can I prove if $SR=RS$, then $SR$ is the least equivalence relation?

Find the function to show two intervals are equivalent

Is the relation $\sim$ an equivalence relation, where $(x_1,y_1)\sim(x_2,y_2)$ means that $(x_1, y_1)=(\lambda x_1,\lambda y_1)$ for some $\lambda$?

Equivalence relation and partition of set

Prove that $\tilde{f}$ is a well-defined bijection

Proof $U\sim V \iff \mu(U \Delta V)=0$

Showing that $x \sim y$ if $x^n=y^n$ defines an equivalence relation on group $G$.

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