Definition of equivalence relation in English:

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equivalence relation

noun

Mathematics & Logic
A relation between elements of a set which is reflexive, symmetric, and transitive and which defines exclusive classes whose members bear the relation to each other and not to those in other classes.
Example sentences
  • We are almost ready to define an equivalence relation between hyperreal numbers.
  • In The classification of prime-power groups Hall introduces an equivalence relation called isoclinism to aid the classification of prime power groups.
  • You can't have a classification without an equivalence relation, and one of the three defining properties of an equivalence relation is transitivity.

For editors and proofreaders

Line breaks: equiva|lence re|la¦tion

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