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supporting hyperplane

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  • Supporting hyperplane — is a concept in geometry. A hyperplane divides a space into two half spaces. A hyperplane is said to support a set S in Euclidean space mathbb R^n if it meets both of the following: * S is entirely contained in one of the two closed half spaces… …   Wikipedia

  • Convexity in economics — Economics …   Wikipedia

  • Convex polytope — A 3 dimensional convex polytope A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n dimensional space Rn.[1] Some authors use the terms convex polytope and convex… …   Wikipedia

  • Convex set — A convex set …   Wikipedia

  • List of convexity topics — This is a list of convexity topics, by Wikipedia page. Alpha blending Barycentric coordinates Borsuk s conjecture Bond convexity Carathéodory s theorem (convex hull) Choquet theory Closed convex function Concavity Convex analysis Convex… …   Wikipedia

  • Mathematical economics — Economics …   Wikipedia

  • Face (geometry) — In geometry, a face of a polyhedron is any of the polygons that make up its boundaries. For example, any of the squares that bound a cube is a face of the cube. The suffix hedron is derived from the Greek word hedra which means face .The (two… …   Wikipedia

  • List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

  • Separating axis theorem — For objects lying in a plane (2 dimensional space), the separating axis theorem states that the projection of two convex shapes onto some line will be separate if and only if they are not intersecting. The line for which the objects have disjoint …   Wikipedia

  • Tangent cone — In geometry, the tangent cone is a generalization of the notion of the tangent space to a manifold to the case of certain spaces with singularities. Definition in convex geometry Let K be a closed convex subset of a real vector space V and part;… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

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