equivalence relations

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Definition of equivalence relations in English English dictionary: plural form of equivalence relation
equivalence relation: A binary relation that is reflexive, symmetric and transitive
equivalence relation: A reflexive, symmetric, and transitive relationship between elements of a set, such as congruence for the set of all triangles in a plane. In mathematics, a generalization of the idea of equality between elements of a set. All equivalence relations (e.g., that symbolized by the equals sign) obey three conditions: reflexivity (every element is in the relation to itself), symmetry (element A has the same relation to element B that B has to A), and transitivity (see transitive law). Congruence of triangles is an equivalence relation in geometry. Members of a set are said to be in the same equivalence class if they have an equivalence relation

equivalence relations

Hyphenation

eq·ui·va·lence re·la·tions

îkwîvılıns rileyşınz

/əˈkwəvələns rēˈlāsʜənz/ /ɪˈkwɪvələns riːˈleɪʃənz/

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