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equivalence relation

noun

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


equivalence relation

noun

  1. 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


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Word History and Origins

Origin of equivalence relation1

First recorded in 1945–50

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equivalence principleequivalency