subset relation

  • 1Relation 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… …

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  • 2Relation (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 …

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  • 3Relation 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… …

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  • 4Subset — In mathematics, especially in set theory, a set A is a subset of a set B if A is contained inside B . Notice that A and B may coincide. The relationship of one set being a subset of another is called inclusion.DefinitionsIf A and B are sets and… …

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  • 5Binary 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… …

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  • 6Ordre (relation) — Relation d ordre Une relation d’ordre dans un ensemble E est une relation binaire dans cet ensemble qui permet de comparer ses éléments entre eux de manière cohérente. Un ensemble muni d’une relation d’ordre est un ensemble ordonné ou tout… …

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  • 7Finitary relation — This article sets out the set theoretic notion of relation. For a more elementary point of view, see Binary relation. For a combinatorial viewpoint, see Theory of relations. For other uses, see Relation (disambiguation). In set theory and logic,… …

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  • 8Partial 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… …

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  • 9Dependence relation — In mathematics, a dependence relation is a binary relation which generalizes the relation of linear dependence. Let X be a set. A (binary) relation between an element a of X and a subset S of X is called a dependence relation, written , if it… …

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  • 10Well-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… …

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