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axiomatic space

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  • Axiomatic (story collection) — Axiomatic (ISBN 0 7528 1650 0) is a 1995 collection of short science fiction stories by Greg Egan.According to amazon.co.uk, in the Axiomatic stories: Egan delivers shocking body blows to received ideas in thought experiment stories that like… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   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

  • 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

  • Projective space — In mathematics a projective space is a set of elements constructed from a vector space such that a distinct element of the projective space consists of all non zero vectors which are equal up to a multiplication by a non zero scalar. A formal… …   Wikipedia

  • Scale space — theory is a framework for multi scale signal representation developed by the computer vision, image processing and signal processing communities with complementary motivations from physics and biological vision. It is a formal theory for handling …   Wikipedia

  • Scale-space axioms — In image processing and computer vision, a scale space framework can be used to represent an image as a family of gradually smoothed images. This framework is very general and a variety of scale space representations has been described in the… …   Wikipedia

  • Cauchy space — In general topology and analysis, a Cauchy space is a generalization of metric spaces and uniform spaces for which the notion of Cauchy convergence still makes sense. Cauchy spaces were introduced by H. H. Keller in 1968, as an axiomatic tool… …   Wikipedia

  • Hilbert space — Math. a complete infinite dimensional vector space on which an inner product is defined. [1935 40; named after D. HILBERT] * * * ▪ mathematics       in mathematics, an example of an infinite dimensional space that had a major impact in analysis… …   Universalium

  • Hausdorff space — /hows dawrf, howz /, Math. a topological space in which each pair of points can be separated by two disjoint open sets containing the points. [named after Felix Hausdorff (1868 1942), German mathematician, who first described it] * * * ▪… …   Universalium

  • Proximity space — In topology, a proximity space is an axiomatization of notions of nearness that hold set to set, as opposed to the better known point to set notions that characterize topological spaces.The concept was described by Frigyes Riesz in 1908 and… …   Wikipedia

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