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separating hyperplane theorem

См. также в других словарях:

  • 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

  • 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

  • Fundamental theorems of welfare economics — There are two fundamental theorems of welfare economics. The first states that any competitive equilibrium or Walrasian equilibrium leads to an efficient allocation of resources. The second states the converse, that any efficient allocation can… …   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

  • 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

  • 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

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   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

  • Supervised learning — is a machine learning technique for learning a function from training data. The training data consist of pairs of input objects (typically vectors), and desired outputs. The output of the functioncan be a continuous value (called regression), or… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • Farkas' lemma — is a result in mathematics stating that a vector is either in a given cone or that there exists a (hyper)plane separating the vector from the cone, but not both. It was originally proved by harvtxt|Farkas|1902. It is used amongst other things in… …   Wikipedia

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