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two-dimensional subspace

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  • Subspace — may refer to:;Mathematics * Euclidean subspace, in linear algebra, a set of vectors in n dimensional Euclidean space that is closed under addition and scalar multiplication. * Linear subspace, in linear algebra, a subset of a vector space that is …   Wikipedia

  • SubSpace (video game) — Continuum (computer game) redirects here. For the 1990 3D game, see Alpha Waves. SubSpace (SS) Developer(s) …   Wikipedia

  • Dimensional analysis — In physics and all science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions. The dimension of a physical quantity is the combination of the basic physical dimensions (usually mass,… …   Wikipedia

  • Euclidean subspace — In linear algebra, an Euclidean subspace (or subspace of R n ) is a set of vectors that is closed under addition and scalar multiplication. Geometrically, a subspace is a flat in n dimensional Euclidean space that passes through the origin.… …   Wikipedia

  • Clustering high-dimensional data — is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions. Such high dimensional data spaces are often encountered in areas such as medicine, where DNA microarray technology can produce a large number of… …   Wikipedia

  • Invariant subspace — In mathematics, an invariant subspace of a linear mapping : T : V rarr; V from some vector space V to itself is a subspace W of V such that T ( W ) is contained in W . An invariant subspace of T is also said to be T invariant.If W is T invariant …   Wikipedia

  • Infinite-dimensional holomorphy — In mathematics, infinite dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic function to functions defined and taking values in complex Banach spaces (or Fréchet spaces… …   Wikipedia

  • Seven-dimensional cross product — In mathematics, the seven dimensional cross product is a binary operation on vectors in a seven dimensional Euclidean space. It is a generalization of the ordinary three dimensional cross product. The seven dimensional cross product has the same… …   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

  • Lie sphere geometry — is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by Sophus Lie in the nineteenth century. [The definitive modern textbook on Lie sphere geometry is Harvnb|Cecil|1992 …   Wikipedia

  • Amplitude amplification — is a technique in quantum computing which generalizes the idea behindthe Grover s search algorithm, and gives rise to a family of quantum algorithms.It was discovered by Gilles Brassard and Peter Høyer in 1997,cite journal author=Gilles Brassard …   Wikipedia

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