- asymmetric relation
- мат.асимметричное соотношение
English-Russian scientific dictionary. 2008.
asymmetric relation
Смотреть что такое "asymmetric relation" в других словарях:
Asymmetric relation — Asymmetric often means, simply: not symmetric. In this sense an asymmetric relation is a binary relation which is not a symmetric relation. That is, . or equivalently, . In some texts the word is given the following stronger definition: For all a … Wikipedia
Asymmetric — * In general, something is asymmetric if it is not symmetric. * See Asymmetric relation for information on asymmetric relations in mathematics and set theory. * See Asymmetric warfare for information and theories of modern war … 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
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
asymmetric — asymmetrically, adv. /ay seuh me trik, as euh /, adj. 1. not identical on both sides of a central line; unsymmetrical; lacking symmetry: Most faces are asymmetric. 2. (of a logical or mathematical relation) holding true of members of a class in… … Universalium
asymmetric — A relation R is asymmetric if when R xy it is not the case that R yx … Philosophy dictionary
asymmetric — /eɪsəˈmɛtrɪk / (say aysuh metrik) adjective 1. not symmetrical; without symmetry. 2. Logic denoting relations which, if they hold between one term and a second, do not hold between the second and the first: the relation being an ancestor of is… …
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
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
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
