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- DictionaryE·quiv·a·lence/əˈkwiv(ə)ləns/
noun
- 1. the condition of being equal or equivalent in value, worth, function, etc.
EQUIVALENCE meaning: 1. the fact of having the same amount, value, purpose, qualities, etc.: 2. the fact of having the…. Learn more.
If you were having trouble choosing between chocolate cake and an ice cream sundae because you love both equally, you might say these two treats have an equivalence. The noun equivalence describes the state of being equal, and it can be used any time things are basically interchangeable.
Equivalence definition, the state or fact of being equivalent; equality in value, force, significance, etc. See more.
Apr 17, 2022 · An equivalence relation on a set is a relation with a certain combination of properties (reflexive, symmetric, and transitive) that allow us to sort the elements of the set into certain classes.
May 13, 2016 · (ɪkwɪvələns ) uncountable noun. If there is equivalence between two things, they have the same use, function, size, or value. ...the equivalence of science and rationality. [ + of] Synonyms: equality, correspondence, agreement, similarity More Synonyms of equivalence. Collins COBUILD Advanced Learner’s Dictionary.
Apr 17, 2022 · An equivalence relation on a set is a relation with a certain combination of properties that allow us to sort the elements of the set into certain classes. Let A be a nonempty set. A relation ∼…
Definition and notation. An equivalence relation on a set is a binary relation on satisfying the three properties: [1] for all ( reflexivity ), implies for all ( symmetry ), if and then for all ( transitivity ). The equivalence class of an element is defined as [2]
