- reflexive symmetric relation
- рефлексивное и симметричное отношение, псевдоэквивалентность
English-Russian scientific dictionary. 2008.
reflexive symmetric relation
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Symmetric relation — In mathematics, a binary relation R over a set X is symmetric if it holds for all a and b in X that if a is related to b then b is related to a .In mathematical notation, this is::forall a, b in X, a R b Rightarrow ; b R a.Note: symmetry is not… … Wikipedia
Reflexive relation — In mathematics, a reflexive relation is a binary relation on a set for which every element is related to itself, i.e., a relation on S where x x holds true for every x in S.[1] For example, could be is equal to . Contents 1 Related terms 2… … Wikipedia
Relation (mathematics) — This article sets out the set theoretic notion of relation. For a more elementary point of view, see binary relations and triadic relations. : For a more combinatorial viewpoint, see theory of relations. In mathematics, especially set theory, and … Wikipedia
relation — Philosophically relations are interesting because of the historic prejudice, given its most forceful expression by Leibniz, that they are somehow ‘unreal’ compared to the intrinsic, monadic properties of things. A way of putting the idea is that… … Philosophy dictionary
Relation algebra — is different from relational algebra, a framework developed by Edgar Codd in 1970 for relational databases. In mathematics, a relation algebra is a residuated Boolean algebra supporting an involutary unary operation called converse. The… … Wikipedia
Binary relation — Relation (mathematics) redirects here. For a more general notion of relation, see Finitary relation. For a more combinatorial viewpoint, see Theory of relations. In mathematics, a binary relation on a set A is a collection of ordered pairs of… … Wikipedia
reflexive — 1. adjective a) Having a subject and object that are the same. Equals is a reflexive relation. b) Of a relation R on a set S, such that xRx for all members x of S (that is, the relation holds between any element of the set and itself) … Wiktionary
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
Transitive relation — In mathematics, a binary relation R over a set X is transitive if whenever an element a is related to an element b , and b is in turn related to an element c , then a is also related to c . Transitivity is a key property of both partial order… … Wikipedia
Antisymmetric relation — In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in X , if a is R to b and b is R to a , then a = b .In mathematical notation, this is::forall a, b in X, a R b and b R a ; Rightarrow ; a = bor equally, :forall a … Wikipedia
Inverse relation — In mathematics, the inverse relation of a binary relation is the relation that occurs when you switch the order of the elements in the relation. For example, the inverse of the relation child of is the relation parent of . In formal… … Wikipedia
