arbitrary relation

См. также в других словарях:

• Arbitrary function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… …   The Collaborative International Dictionary of English

• arbitrary — According to notion or whim rather than according to law. Despotic; without reason. Fixed or arrived at through an exercise of will or by caprice, without consideration or adjustment with reference to principles, circumstances or significance.… …   Ballentine's law dictionary

• 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

• Transitive relation — In mathematics, a binary relation R over a set X is transitive if whenever an element a is related to an element b , and b is in turn related to an element c , then a is also related to c . Transitivity is a key property of both partial order… …   Wikipedia

• Integer relation algorithm — An integer relation between a set of real numbers x 1, x 2, ..., x n is a set of integers a 1, a 2, ..., a n, not all 0, such that:a 1x 1 + a 2x 2 + cdots + a nx n = 0.,An integer relation algorithm is an algorithm for finding integer relations.… …   Wikipedia

• Canonical commutation relation — In physics, the canonical commutation relation is the relation between canonical conjugate quantities (quantities which are related by definition such that one is the Fourier transform of another), for example: between the position x and momentum …   Wikipedia

• Einstein relation (kinetic theory) — In physics (namely, in kinetic theory) the Einstein relation (also known as Einstein–Smoluchowski relation) is a previously unexpected connection revealed independently by Albert Einstein in 1905 and by Marian Smoluchowski (1906) in their papers… …   Wikipedia

• Ancestral relation — In mathematical logic, the ancestral relation (often shortened to ancestral) of an arbitrary binary relation R is defined below. The ancestral makes its first appearance in Frege s Begriffsschrift . Frege later employed it in his Grundgesetze as… …   Wikipedia

• Clairaut's relation — Clairaut s relation, named after Alexis Claude de Clairaut, is a formula in classical differential geometry. The formula relates the distance r(t) from a point on a great circle of the unit sphere to the z axis, and the angle θ(t) between the… …   Wikipedia