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equivalence

[ih-kwiv-uh-luh ns or for 3, ee-kwuh-vey-luh ns] /ɪˈkwɪv ə ləns or for 3, ˌi kwəˈveɪ ləns/
noun, Also, equivalency (for defs 1, 2).
1.
the state or fact of being equivalent; equality in value, force, significance, etc.
2.
an instance of this; an equivalent.
3.
Chemistry. the quality of having equal valence.
4.
Logic, Mathematics.
  1. Also called material implication. the relation between two propositions such that the second is not false when the first is true.
  2. Also called material equivalence. the relation between two propositions such that they are either both true or both false.
  3. the relation between two propositions such that each logically implies the other.
adjective
5.
(of a logical or mathematical relationship) reflexive, symmetrical, and transitive.
Origin of equivalence
1535-1545
1535-45; < Middle French < Medieval Latin aequivalentia, equivalent to Latin aequivalent- equivalent + -ia -ia; see -ence
Related forms
nonequivalence, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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British Dictionary definitions for equivalence

equivalence

/ɪˈkwɪvələns/
noun
1.
the state of being equivalent or interchangeable
2.
(maths, logic)
  1. the relationship between two statements, each of which implies the other
  2. Also called biconditional. the binary truth-function that takes the value true when both component sentences are true or when both are false, corresponding to English if and only if. Symbol: ≡ or ↔, as in –(pq) ≡ –p ∨ –q
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 Origin and History for equivalence
n.

1540s, from French équivalence, from Medieval Latin aequivalentia, from aequivalentem (see equivalent). Related: Equivalency (1530s).

Online Etymology Dictionary, © 2010 Douglas Harper
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