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analytic field

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  • analytic philosophy — n. a 20th cent. philosophic movement characterized by its method of analyzing concepts and statements in the light of common experience and ordinary language so as to eliminate confusions of thought and resolve many traditional philosophical… …   Universalium

  • Analytic number theory — In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve number theoretical problems. [Page 7 of Apostol 1976] It is often said to have begun with Dirichlet s introduction of… …   Wikipedia

  • Analytic signal — Not to be confused with Analytic function. In mathematics and signal processing, the analytic representation of a real valued function or signal facilitates many mathematical manipulations of the signal. The basic idea is that the negative… …   Wikipedia

  • Analytic Hierarchy Process — The Analytic Hierarchy Process (AHP) is a structured technique for helping people deal with complex decisions. Rather than prescribing a correct decision, the AHP helps people to determine one. Based on mathematics and human psychology, it was… …   Wikipedia

  • Analytic torsion — In mathematics, Reidemeister torsion (or R torsion, or Reidemeister–Franz torsion) is a topological invariant of manifolds introduced by Kurt Reidemeister (Reidemeister (1935)) for 3 manifolds and generalized to higher dimensions by Franz (1935)… …   Wikipedia

  • analytic induction — A logic of qualitative research which employs a systematic and exhaustive examination of a limited number of cases in order to provide generalizations. Donald Cressey, who employs the logic in his book Other People s Money (1953), suggests the… …   Dictionary of sociology

  • Algebraic geometry and analytic geometry — In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally… …   Wikipedia

  • Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia

  • Discriminant of an algebraic number field — A fundamental domain of the ring of integers of the field K obtained from Q by adjoining a root of x3 − x2 − 2x + 1. This fundamental domain sits inside K ⊗QR. The discriminant of K is 49 = 72.… …   Wikipedia

  • Vector field — In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a (locally) Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid… …   Wikipedia

  • Rigid analytic space — In mathematics, a rigid analytic space is an analogue of a complex analytic space over a nonarchimedean field. They were introduced by John Tate in 1962, as an outgrowth of his work on uniformizing p adic elliptic curves with bad reduction using… …   Wikipedia

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