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definitions

equivalence relation

noun Mathematics.

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

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Nearby words

  1. equity-linked policy,
  2. equiv.,
  3. equivalence,
  4. equivalence class,
  5. equivalence principle,
  6. equivalency,
  7. equivalent,
  8. equivalent air speed,
  9. equivalent circuit,
  10. equivalent focal length

Origin of equivalence relation

First recorded in 1945–50
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

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