Equivalence relation
id:
equivalence-relation-187-3039504
title:
Equivalence relation
text:
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation. A simpler example is equality. Any number a is equal to itself (reflexive). If a = b, then b = a (symmetric). If a = b and b = c, then a = c (transitive). Each equivalence relation provides a partition of the underlying set into disjoint equivalence classes. Two elements of the given s
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical concept for comparing objects
original url:
https://en.wikipedia.org/wiki/Equivalence_relation
date created:
2001-10-09T21:43:21Z
date modified:
2024-09-08T12:58:01Z
main entity:
{"identifier":"Q130998","url":"https://www.wikidata.org/entity/Q130998"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/b4/Set_partitions_5%3B_matrices.svg","width":272,"height":655}
fields total:
13
integrity:
16