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integral equivalence

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  • Equivalence class — This article is about equivalency in mathematics; for equivalency in music see equivalence class (music). In mathematics, given a set X and an equivalence relation on X, the equivalence class of an element a in X is the subset of all elements in… …   Wikipedia

  • Integral domain — In abstract algebra, an integral domain is a commutative ring that has no zero divisors,[1] and which is not the trivial ring {0}. It is usually assumed that commutative rings and integral domains have a multiplicative identity even though this… …   Wikipedia

  • Equivalence relations on algebraic cycles — In mathematics, equivalence relations of algebraic cycles are used in order to obtain a well working theory of algebraic cycles, including well defined intersection products. They also form an integral part of the category of pure… …   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

  • 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

  • Paley-Wiener integral — In mathematics, the Paley Wiener integral is a simple stochastic integral. When applied to classical Wiener space, it is less general than the Itō integral, but the two agree when they are both defined.The integral is named after its discoverers …   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

  • Introduction à la relativité générale — Traduction à relire Introduction to gen …   Wikipédia en Français

  • Characterizations of the exponential function — In mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …   Wikipedia

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