equivalence relation

noun

: 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

Example Sentences

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 See More

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.

Word History

First Known Use

circa 1949, in the meaning defined above

Time Traveler
The first known use of equivalence relation was circa 1949

Dictionary Entries Near equivalence relation

Cite this Entry

“Equivalence relation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/equivalence%20relation. Accessed 20 Mar. 2023.

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