equivalence relation

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Definitions of equivalence relation words

noun Technical meaning of equivalence relation (mathematics) 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. 1
noun equivalence relation a relation that is reflexive, symmetric, and transitive: it imposes a partition on its domain of definition so that two elements belong to the same subset if and only if the relation holds between them 0
noun equivalence relation (set theory) A binary relation that is reflexive, symmetric and transitive. 0

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This term is known only to a narrow circle of people with rare knowledge. Only 7% of English native speakers know the meaning of this word.

According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.

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