Equivalence relation — In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being equivalent in some way. Let a , b , and c be arbitrary elements of some set X . Then a b or a ≡ b denotes that a is… … Wikipedia
equivalence relation — Math. a relation that is reflexive, symmetrical, and transitive, as equality. [1945 50] * * * In mathematics, a generalization of the idea of equality between elements of a set. All equivalence relations (e.g., that symbolized by the equals sign) … Universalium
equivalence relation — noun A binary relation that is reflexive, symmetric and transitive. See Also: equivalence class, setoid, ≡, equivalence relation … Wiktionary
equivalence relation — /əˈkwɪvələns rəˌleɪʃən/ (say uh kwivuhluhns ruh.layshuhn) noun Mathematics, Logic a reflexive, symmetric and transitive relation, that establishes any two elements in the set as equivalent or non equivalent. Also, equivalence …
equivalence relation — noun Mathematics & Logic a relation between elements of a set which is reflexive, symmetric, and transitive and which defines exclusive classes whose members bear the relation to each other and not to those in other classes … English new terms dictionary
equivalence relation — noun Date: circa 1949 a relation (as equality) between elements of a set (as the real numbers) that is symmetric, reflexive, and transitive and for any two elements either holds or does not hold … New Collegiate Dictionary
equivalence relation — noun : a relation (as equality) between elements of a set (as the real numbers) that is symmetric, reflexive, and transitive and for any two elements either holds or does not hold … Useful english dictionary
Adequate equivalence relation — In algebraic geometry, a branch of mathematics, an adequate equivalence relation is an equivalence relation on algebraic cycles of smooth projective varieties used to obtain a well working theory of such cycles, and in particular, well defined… … Wikipedia
Partial equivalence relation — In mathematics, a partial equivalence relation (often abbreviated as PER) R on a set X is a relation which is symmetric and transitive . In other words, it holds for all a, b and c in X that:# (Symmetry) if a R b then b R a # (Transitivity) if a… … Wikipedia
Borel equivalence relation — In mathematics, a Borel equivalence relation on a Polish space X is an equivalence relation on X that is a Borel subset of X times; X (in the product topology).Given Borel equivalence relations E and F on Polish spaces X and Y respectively, one… … Wikipedia
