convex function

  • 31Airy function — This article is about the Airy special function. For the Airy stress function employed in solid mechanics, see Stress functions. In the physical sciences, the Airy function Ai(x) is a special function named after the British astronomer George… …

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  • 32Locally convex topological vector space — In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) which generalize normed spaces. They can be defined as topological vector… …

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  • 33Hicksian demand function — In microeconomics, a consumer s Hicksian demand correspondence is the demand of a consumer over a bundle of goods that minimizes their expenditure while delivering a fixed level of utility. If the correspondence is actually a function, it is… …

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  • 34Piecewise linear function — In mathematics, a piecewise linear function :f: Omega o V, where V is a vector space and Omega is asubset of a vector space, is any function with the property that Omega can be decomposed into finitely many convex polytopes, such that f is equal… …

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  • 35Characteristic function — In mathematics, characteristic function can refer to any of several distinct concepts: The most common and universal usage is as a synonym for indicator function, that is the function which for every subset A of X, has value 1 at points of A and… …

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  • 36Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …

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  • 37Indicator function — The graph of the indicator function of a two dimensional subset of a square. In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of …

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  • 38Monotonic function — Monotonicity redirects here. For information on monotonicity as it pertains to voting systems, see monotonicity criterion. Monotonic redirects here. For other uses, see Monotone (disambiguation). Figure 1. A monotonically increasing function (it… …

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  • 39Sublinear function — A sublinear function, in linear algebra and related areas of mathematics, is a function f: V ightarrow mathbf{F} on a vector space V over F, an ordered field (e.g. the real numbers mathbb{R}), which satisfies, for all scalars gamma; and vectors x …

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  • 40Unimodal function — In mathematics, a function f ( x ) between two ordered sets is unimodal if for some value m (the mode), it is monotonically increasing for x ≤ m and monotonically decreasing for x ≥ m . In that case, the maximum value of f ( x ) is f ( m ) and… …

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