Question

Equivalence relation proof, problem $x∼y \iff x^2 − 2x + 1 = y^2 + 4y + 4$

score 60 · Answer 1 · 2020-05-31 03:22:08

60

Views

Equivalence relation proof, problem $x∼y \iff x^2 − 2x + 1 = y^2 + 4y + 4$

Published on 31 May 2020 - 3:22

score 180 · Answer 2 · 2020-05-31 04:39:08

180

Views

If $R \cup S$ is an equivalence relation on $A$, then $R$ and $S$ are equivalence relations on $A$

Published on 31 May 2020 - 4:39

score 37 · Answer 3 · 2020-05-31 17:10:40

37

Views

Show that $P$ is a partition of the corresponding set $A$ and define the equivalence relation induced by partition $P$.

Published on 31 May 2020 - 17:10

score 415 · Answer 4 · 2020-06-01 09:31:10

415

Views

Showing that a relation is neither an equivalence relation nor a partial order

Published on 01 Jun 2020 - 9:31

score 150 · Answer 5 · 2020-06-02 09:14:35

150

Views

Use a reflexive and transitive closure to transform an antisymmetric and acyclic relation into a partially ordered set.

Published on 02 Jun 2020 - 9:14

score 154 · Answer 6 · 2026-03-25 20:39:49

154

Views

A binary relation contained in its square

Published on 25 Mar 2026 - 20:39

score 148 · Answer 7 · 2020-06-02 20:32:22

148

Views

Suppose $[a], [b] \in \mathbb{Z}_n$ and $[a]\cdot[b] = [0]$. Is it necessarily true that either $[a] = [0]$ or $[b] = [0]$?

Published on 02 Jun 2020 - 20:32

score 49 · Answer 8 · 2020-06-03 08:30:50

49

Views

Equivalence classes for a relation between integers

Published on 03 Jun 2020 - 8:30

score 101 · Answer 9 · 2020-06-03 08:56:14

101

Views

Why do we sum to prove the transitive property?

Published on 03 Jun 2020 - 8:56

score 231 · Answer 10 · 2026-03-28 14:39:19

231

Views

Proving $xRy\iff xy^{-1}\in\ker(f)$ is equivalent relation, where $f:(G,.) \to (H,.)$ is homomorphism of groups $G$ and $H$.

Published on 28 Mar 2026 - 14:39

score 36 · Answer 11 · 2026-03-30 04:00:11

36

Views

A relation about dependence on a collection of random variables.

Published on 30 Mar 2026 - 4:00

score 39 · Answer 12 · 2026-03-27 18:26:06

39

Views

Is $ a + b = c$ technically $2$ binary relations?

Published on 27 Mar 2026 - 18:26

score 35 · Answer 13 · 2026-03-27 06:06:26

35

Views

Basic problems with model theoretic relations

Published on 27 Mar 2026 - 6:06

score 25 · Answer 14 · 2020-06-04 19:51:02

25

Views

On the set $A=\{1,2,3,4,5\}$, type three such relations $a,b,c$ so that $a = a^{-1}, b = b^{-1}, c = c^{-1}$

Published on 04 Jun 2020 - 19:51

score 72 · Answer 15 · 2020-06-05 01:43:28

72

Views

equivalence relation/ equivalence classes/quotient space

Published on 05 Jun 2020 - 1:43

List Question

Equivalence relation proof, problem $x∼y \iff x^2 − 2x + 1 = y^2 + 4y + 4$

If $R \cup S$ is an equivalence relation on $A$, then $R$ and $S$ are equivalence relations on $A$

Show that $P$ is a partition of the corresponding set $A$ and define the equivalence relation induced by partition $P$.

Showing that a relation is neither an equivalence relation nor a partial order

Use a reflexive and transitive closure to transform an antisymmetric and acyclic relation into a partially ordered set.

A binary relation contained in its square

Suppose $[a], [b] \in \mathbb{Z}_n$ and $[a]\cdot[b] = [0]$. Is it necessarily true that either $[a] = [0]$ or $[b] = [0]$?

Equivalence classes for a relation between integers

Why do we sum to prove the transitive property?

Proving $xRy\iff xy^{-1}\in\ker(f)$ is equivalent relation, where $f:(G,.) \to (H,.)$ is homomorphism of groups $G$ and $H$.

A relation about dependence on a collection of random variables.

Is $ a + b = c$ technically $2$ binary relations?

Basic problems with model theoretic relations

On the set $A=\{1,2,3,4,5\}$, type three such relations $a,b,c$ so that $a = a^{-1}, b = b^{-1}, c = c^{-1}$

equivalence relation/ equivalence classes/quotient space

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