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(convex sets)

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

  • Convex set — A convex set …   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 metric space — An illustration of a convex metric space. In mathematics, convex metric spaces are, intuitively, metric spaces with the property any segment joining two points in that space has other points in it besides the endpoints. Formally, consider a… …   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 hull — Math. the smallest convex set containing a given set; the intersection of all convex sets that contain a given set. Also called convex cover, convex span. * * * …   Universalium

  • convex hull — Math. the smallest convex set containing a given set; the intersection of all convex sets that contain a given set. Also called convex cover, convex span …   Useful english dictionary

  • Convex hull algorithms — Algorithms that construct convex hulls of various objects have a broad range of applications in mathematics and computer science, see Convex hull applications . In computational geometry, numerous algorithms are proposed for computing the convex… …   Wikipedia

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