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relation over a set

См. также в других словарях:

  • Relation reduction — In logic and mathematics, relation reduction and relational reducibility have to do with the extent to which a given relation is determined by an indexed family or a sequence of other relations, called the relation dataset . The relation under… …   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

  • Relation construction — In logic and mathematics, relation construction and relational constructibility have to do with the ways that one relation is determined by an indexed family or a sequence of other relations, called the relation dataset . The relation in the… …   Wikipedia

  • set — set1 W1S1 [set] v past tense and past participle set present participle setting ▬▬▬▬▬▬▬ 1¦(put)¦ 2¦(put into surface)¦ 3¦(story)¦ 4¦(consider)¦ 5¦(establish something)¦ 6¦(start something happening)¦ 7¦(decide something)¦ …   Dictionary of contemporary English

  • 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

  • Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… …   Wikipedia

  • Total relation — In mathematics, a binary relation R over a set X is total if for all a and b in X, a is related to b or b is related to a (or both). In mathematical notation, this is Total relations are sometimes said to have comparability. Examples For example …   Wikipedia

  • set — /set/, v., set, setting, n., adj., interj. v.t. 1. to put (something or someone) in a particular place: to set a vase on a table. 2. to place in a particular position or posture: Set the baby on his feet. 3. to place in some relation to something …   Universalium

  • Apartness relation — In constructive mathematics, an apartness relation is a constructive form of inequality, and is often taken to be more basic than equality. It is often written as # to distinguish from the so called denial inequality , e, which is weaker. An… …   Wikipedia

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