slovodefinícia
equivalence relation
(foldoc)
equivalence relation

A relation R on a set including elements a, b,
c, which is reflexive (a R a), symmetric (a R b => b R a) and
transitive (a R b R c => a R c). An equivalence relation
defines an equivalence class.

See also partial equivalence relation.

(1996-05-13)
podobné slovodefinícia
partial equivalence relation
(foldoc)
partial equivalence relation

(PER) A relation R on a set S where R is symmetric (x R y => y
R x) and transitive (x R y R z => x R z) and where there may
exist elements in S for which the relation is not defined. A
PER is an equivalence relation on the subset for which it is
defined, i.e. it is also reflexive (x R x).

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