equivalence relation

noun

Definition of equivalence relation

: a relation (such as equality) between elements of a set (such as the real numbers) that is symmetric, reflexive, and transitive and for any two elements either holds or does not hold

Examples of equivalence relation in a Sentence

Recent Examples on the Web The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021 The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021 The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021 The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021 The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021 The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021 The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021 The Friedman-Stanley paper, as well as the new work by Paolini and Shelah, focused on an equivalence relation — called isomorphism — between structures. Quanta Magazine, 10 Aug. 2021

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'equivalence relation.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of equivalence relation

circa 1949, in the meaning defined above

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The first known use of equivalence relation was circa 1949

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Dictionary Entries Near equivalence relation

equivalence principle

equivalence relation

equivalence zone

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Last Updated

19 Nov 2021

Cite this Entry

“Equivalence relation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/equivalence%20relation. Accessed 6 Dec. 2021.

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More from Merriam-Webster on equivalence relation

Britannica.com: Encyclopedia article about equivalence relation

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