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convex line

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  • 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 — Con vex, a. [L. convexus vaulted, arched, convex, concave, fr. convehere to bring together: cf. F. convexe. See {Vehicle}.] Rising or swelling into a spherical or rounded form; regularly protuberant or bulging; said of a spherical surface or… …   The Collaborative International Dictionary of English

  • convex — [kän veks′, kənveks; ] also, & for n [. ] usually [, kän′veks΄] adj. [L convexus, vaulted, arched, pp. of convehere, to bring together < com , together + vehere, to bring: see WAY] curving outward like the surface of a sphere n. a convex… …   English World dictionary

  • 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 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

  • Line segment — The geometric definition of a line segment …   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 and concave polygons — An example of a convex polygon: a regular pentagon In geometry, a polygon can be either convex or concave (non convex). Contents 1 Convex polygons …   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

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