empty relation

empty relation
мат.
пустое отношение

English-Russian scientific dictionary. 2008.

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  • 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 antisymétrique — Relation binaire Une relation binaire est un concept mathématique qui systématise des notions comme « ... est supérieur ou égal à ... » en arithmétique, ou « ... est élément de l’ensemble ... » en théorie des ensembles. C’est… …   Wikipédia en Français

  • Empty set — ∅ redirects here. For similar looking symbols, see Ø (disambiguation). The empty set is the set containing no elements. In mathematics, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality… …   Wikipedia

  • Relation binaire — En mathématiques, une relation binaire entre deux ensembles E et F (ou simplement relation entre E et F) est caractérisée par un sous ensemble du produit cartésien E × F, soit une collection de couples dont la première composante est dans E et la …   Wikipédia en Français

  • Empty Souls — Infobox Single Name = Empty Souls Artist = Manic Street Preachers from Album = Lifeblood Released = January 10, 2005 Format = CD Recorded = Wales Genre = Rock Length = 4:09 Label = Epic Producer = Greg Haver Chart position = #2 (UK) Reviews =… …   Wikipedia

  • Finitary 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,… …   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

  • Partial 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… …   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

  • 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

  • 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


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