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relation over set

См. также в других словарях:

  • 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 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

  • 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

  • Relation — may refer to:*Relation, a person to whom one is related, i.e. a family member (see also Kinship) *Relation (mathematics), a generalization of arithmetic relations, such as = and …   Wikipedia

  • Over-arcing — is a nearly self descriptive term which denotes a radial or parabolic like arc which is extended, for whatever reason, beyond the path of which it was either intended to follow, or could have followed, given that a more efficient means had been… …   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

  • 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

  • Well-founded relation — In mathematics, a binary relation, R, is well founded (or wellfounded) on a class X if and only if every non empty subset of X has a minimal element with respect to R; that is, for every non empty subset S of X, there is an element m of S such… …   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

  • Demand Set — A Demand Set is a model of the most preferred bundle of goods an agent can afford. The set is a function of the preference relation for this agent, the prices of goods, and the agent s endowment. Assuming the agent cannot have a negative quantity …   Wikipedia

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