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 So an equivalence relation is one that satisfies certain properties. Steven Strogatz, Quanta Magazine, 22 Mar. 2023 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 examples are programmatically compiled from various online sources to illustrate current usage of the word 'equivalence relation.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

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 19 Jun. 2024.

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