Difference between revisions of "Equivalence relation"
From Wiki @ Karl Jones dot com
Karl Jones (Talk | contribs) (Created page with "In mathematics, an '''equivalence relation''' is a binary relation that is at the same time a reflexive relation, a symmetric relation, and a transitive rela...") |
Karl Jones (Talk | contribs) |
||
| Line 1: | Line 1: | ||
In [[mathematics]], an '''equivalence relation''' is a [[binary relation]] that is at the same time a [[reflexive relation]], a [[symmetric relation]], and a [[transitive relation]]. | In [[mathematics]], an '''equivalence relation''' is a [[binary relation]] that is at the same time a [[reflexive relation]], a [[symmetric relation]], and a [[transitive relation]]. | ||
| − | As a consequence of these properties an equivalence relation provides a [[partition of a set]] into [ | + | As a consequence of these properties an equivalence relation provides a [[partition of a set]] into [[Equivalence class|equivalence classes]]. |
== See also == | == See also == | ||
Latest revision as of 14:23, 22 September 2016
In mathematics, an equivalence relation is a binary relation that is at the same time a reflexive relation, a symmetric relation, and a transitive relation.
As a consequence of these properties an equivalence relation provides a partition of a set into equivalence classes.
See also
External links
- Equivalence relation @ Wikipedia.org
