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
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
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.
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 25 Apr. 2024.
Copy CitationLove words? Need even more definitions?
Merriam-Webster unabridged
Share