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2 выпуклый анализ
convex analysis мат.Русско-английский научно-технический словарь Масловского > выпуклый анализ
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Mathematics: convex analysis
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Convex analysis — is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization, a subdomain of optimization theory. See also List of convexity topics References J. B. Hiriart… … Wikipedia
Characteristic function (convex analysis) — In the field of mathematics known as convex analysis, the characteristic function of a set is a convex function that indicates the membership (or non membership) of a given element in that set. It is similar to the usual indicator function, and… … Wikipedia
Convex optimization — Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. Given a real vector space X together with a convex, real valued function defined on a convex subset of X, the problem is to find … Wikipedia
Convex function — on an interval. A function (in black) is convex if and only i … Wikipedia
Convex geometry — is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas of mathematics: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral… … Wikipedia
Convex set — A convex set … Wikipedia
Convex cone — In linear algebra, a convex cone is a subset of a vector space over an ordered field that is closed under linear combinations with positive coefficients. A convex cone (light blue). Inside of it, the light red convex cone consists of all points… … Wikipedia
Convex conjugate — In mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre–Fenchel transformation or Fenchel transformation (after Adrien Marie Legendre and Werner Fenchel). Contents 1 Definition 2… … Wikipedia
Convex hull — The convex hull of the red set is the blue convex set. See also: Convex set and Convex combination In mathematics, the convex hull or convex envelope for a set of points X in a real vector space V is the min … Wikipedia
Convex combination — Given three points x1,x2,x3 in a plane as shown in the figure, the point P is a convex combination of the three points, while Q is not. (Q is however an affine combination of the three poin … Wikipedia
Convex preferences — In economics, convex preferences refer to a property of an individual s ordering of various outcomes which roughly corresponds to the idea that averages are better than the extremes . The concept roughly corresponds to the law of diminishing… … Wikipedia