equivalence relation

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noun Mathematics.

a relation that is reflexive, symmetrical, and transitive, as equality.

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Origin of equivalence relation

First recorded in 1945–50

Words nearby equivalence relation

equity weighting, equiv., equivalence, equivalence class, equivalence principle, equivalence relation, equivalency, equivalent, equivalent air speed, equivalent circuit, equivalent focal length

How to use equivalence relation in a sentence

Kim Kardashian Breaks the InternetTalking about butts in relation to Kim Kardashian had become tired.
Year of the Butt: How the Booty Changed the World in 2014|Kevin Fallon|December 30, 2014|DAILY BEAST
Bratton might have said something that was closer to a real-world moral equivalence.
Memo to Cops: Criticisms Aren’t Attacks|Michael Tomasky|December 28, 2014|DAILY BEAST
He was trying, I think, to demonstrate balance and equivalence.
Memo to Cops: Criticisms Aren’t Attacks|Michael Tomasky|December 28, 2014|DAILY BEAST
It was now almost impossible to speak of individual divisions in relation to these actions, but only of corps.
Blood in the Sand: When James Jones Wrote a Grunt’s View of D-Day|James Jones|November 15, 2014|DAILY BEAST

Our ability to feel seen is truly dependent on being in relation to someone else.
Why You’re Happily Married and Having an Affair|Ryan Selzer|November 2, 2014|DAILY BEAST
This mania for correction shows itself too in relation to the authorities themselves.
Children's Ways|James Sully
The relation existing between the balmy plant and the commerce of the world is of the strongest kind.
Tobacco; Its History, Varieties, Culture, Manufacture and Commerce|E. R. Billings.
In the close relation and affection of these last days, the sense of alienation and antagonism faded from both their hearts.
Ramona|Helen Hunt Jackson
The conception of the relation of this institution with them as co-operative makes headway slowly.
Readings in Money and Banking|Chester Arthur Phillips
Uric acid is decreased before an attack of gout and increased afterward, but its etiologic relation is still uncertain.
A Manual of Clinical Diagnosis|James Campbell Todd

British Dictionary definitions for equivalence relation

equivalence relation

noun

logic maths a relation that is reflexive, symmetric, and transitive: it imposes a partition on its domain of definition so that two elements belong to the same subset if and only if the relation holds between them

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012