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integral mapping

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  • Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …   Wikipedia

  • Elliptic integral — In integral calculus, elliptic integrals originally arose in connection with the problem of giving the arc length of an ellipse. They were first studied by Giulio Fagnano and Leonhard Euler. Modern mathematics defines an elliptic integral as any… …   Wikipedia

  • Schwarz-Christoffel mapping — In complex analysis, a discipline within mathematics, a Schwarz Christoffel mapping is a transformation of the complex plane that maps the upper half plane conformally to a polygon. Schwarz Christoffel mappings are used in potential theory and… …   Wikipedia

  • Direct integral — In mathematics and functional analysis a direct integral is a generalization of the concept of direct sum. The theory is most developed for direct integrals of Hilbert spaces and direct integrals of von Neumann algebras. The concept was… …   Wikipedia

  • Optical mapping — Optical mapping[1] is a technique for constructing ordered, genome wide, high resolution restriction maps from single, stained molecules of DNA, called optical maps . By mapping the location of restriction enzyme sites along the unknown DNA of an …   Wikipedia

  • Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …   Wikipedia

  • Abelian integral — In mathematics, an abelian integral in Riemann surface theory is a function related to the indefinite integral of a differential of the first kind. Suppose we are given a Riemann surface S and on it a differential 1 form ω that is everywhere… …   Wikipedia

  • Period mapping — In mathematics, in the field of algebraic geometry, the period mapping associates to a family of algebraic manifolds a family of Hodge structures. The family of Hodge structures is given concretely by matrices of integrals. To illustrate these… …   Wikipedia

  • Euler hypergeometric integral — In mathematics, the Euler hypergeometric integral is a representation of the hypergeometric function by means of an integral. It is given by:; 2F 1(a,b;c;z)=frac{Gamma(c)}{Gamma(b) Gamma(c b)}int 0^1 frac{dw} {w^{1 b} ; (1 w)^{1 c+b} ;(1 zw)^a}… …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

  • Holomorphic functional calculus — In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function fnof; of a complex argument z and an operator T , the aim is to construct an operator:f(T),which in a… …   Wikipedia

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