equivalence definition, equivalence meaning | English dictionary

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equivalence

  
, equivalency  
      n  
1    the state of being equivalent or interchangeable  
2      (Maths, logic)  
a    the relationship between two statements each of which implies the other  
b    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: <equiv> or <bicond> , as in --(p <conj> q) <equiv> --p <disj> --q,   (Also called)    biconditional  


equivalence relation  
      n     (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  
formal equivalence  
      n     (Logic)   the relation that holds between two open sentences when their universal closures are materially equivalent  
English Collins Dictionary - English Definition & Thesaurus  
Collins
equivalency   , equivalence         
      n     (Chem)   the state of having equal valencies  
  equivalent      adj  


equivalence          , equivalency  
      n  
1    the state of being equivalent or interchangeable  
2      (Maths, logic)  
a    the relationship between two statements each of which implies the other  
b    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: <equiv> or <bicond> , as in --(p <conj> q) <equiv> --p <disj> --q,   (Also called)    biconditional  
equivalence relation  
      n     (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  
formal equivalence  
      n     (Logic)   the relation that holds between two open sentences when their universal closures are materially equivalent  

English Collins Dictionary - English Definition & Thesaurus  

Collins

equivalence

  
  
agreement, alikeness, conformity, correspondence, equality, evenness, identity, interchangeableness, likeness, match, parallel, parity, sameness, similarity, synonymy  

English Collins Dictionary - English synonyms & Thesaurus  

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