Category:Examples of Equivalence Relations

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This category contains examples of Equivalence Relation.

Let $\RR$ be a relation on a set $S$.

Let $\RR$ be:

$(1): \quad$ reflexive

$(2): \quad$ symmetric

$(3): \quad$ transitive

Then $\RR$ is an equivalence relation on $S$.

Subcategories

This category has the following 12 subcategories, out of 12 total.

C

Cross-Relation on Real Numbers is Equivalence Relation‎ (2 P)

D

Diagonal Relation is Equivalence‎ (1 C, 4 P)
Dipper Relation is Equivalence Relation‎ (1 P)

E

Equal Fourth Powers over Complex Numbers‎ (3 P)
Equal Sine of pi x over 6 on Integers‎ (3 P)
Equivalence Relation on Integers Modulo 5 induced by Squaring‎ (4 P)
Equivalence Relation on Natural Numbers such that Quotient is Power of Two‎ (5 P)
Equivalence Relation on Power Set induced by Intersection with Subset‎ (3 P)

G

Graph Isomorphism is Equivalence Relation‎ (3 P)

M

Matrix Similarity is Equivalence Relation‎ (3 P)

O

Order Isomorphism is Equivalence Relation‎ (3 P)

S

Set Equivalence behaves like Equivalence Relation‎ (6 P)

Pages in category "Examples of Equivalence Relations"

The following 90 pages are in this category, out of 90 total.

A

C

D

E

F

Floor defines Equivalence Relation

G

H

I

L

M

N

Norm Equivalence is Equivalence

O

P

R

S

T

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