Difference between revisions of "Equivalence relation"
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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 13:23, 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
