EQUIVALENCECLASS

Equivalence class

In mathematics, given a set and an equivalence relation on, the equivalence class of an element in is the subset of all elements in which are equivalent to . It follows from the definition of the equivalence relations that the equivalence classes form a partition of . The quotient set of by is the set of the equivalence classes. It is denoted as .

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equivalence class

Noun

  1. Any one of the subsets into which an equivalence relation partitions a set, each of these subsets containing all the elements of the set that are equivalent under the equivalence relation.


The above text is a snippet from Wiktionary: equivalence class
and as such is available under the Creative Commons Attribution/Share-Alike License.

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