closed function

  • 31Generating function — This article is about generating functions in mathematics. For generating functions in classical mechanics, see Generating function (physics). For signalling molecule, see Epidermal growth factor. In mathematics, a generating function is a formal …

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  • 32Size function — Size functions are shape descriptors, in a geometrical/topological sense. They are functions from the half plane to the natural numbers, counting certain connected components of a topological space. They are used in pattern recognition and… …

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  • 33Particular values of the Gamma function — The Gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half integer arguments, but no simple expressions are known for the values at rational points in… …

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  • 34Μ-recursive function — In mathematical logic and computer science, the μ recursive functions are a class of partial functions from natural numbers to natural numbers which are computable in an intuitive sense. In fact, in computability theory it is shown that the μ… …

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  • 35Convex function — on an interval. A function (in black) is convex if and only i …

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  • 36Motivic zeta function — In algebraic geometry, the motivic zeta function of a smooth algebraic variety X is the formal power series Here X(n) is the n th symmetric power of X, i.e., the quotient of Xn by the action of the symmetric group Sn, and [X(n) …

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  • 37Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the …

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  • 38Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …

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  • 39Non-analytic smooth function — In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not …

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  • 40Binary function — In mathematics, a binary function, or function of two variables, is a function which takes two inputs. Precisely stated, a function f is binary if there exists sets X, Y, Z such that:,f colon X imes Y ightarrow Zwhere X imes Y is the Cartesian… …

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