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N-dimensional Euclidean space

См. также в других словарях:

  • Euclidean space — Every point in three dimensional Euclidean space is determined by three coordinates. In mathematics, Euclidean space is the Euclidean plane and three dimensional space of Euclidean geometry, as well as the generalizations of these notions to… …   Wikipedia

  • Euclidean space — Math. 1. ordinary two or three dimensional space. 2. any vector space on which a real valued inner product is defined. Also called Cartesian space. [1880 85] * * * In geometry, a two or three dimensional space in which the axioms and postulates… …   Universalium

  • Euclidean space — noun a space in which Euclid s axioms and definitions apply; a metric space that is linear and finite dimensional • Hypernyms: ↑metric space * * * noun Usage: often capitalized E : the space to which Euclid s axioms and definitions (as of… …   Useful english dictionary

  • Euclidean space — noun a) Ordinary two or three dimensional space, characterised by an infinite extent along each dimension and a constant distance between any pair of parallel lines. b) Any real vector space on which a real valued inner product (and, consequently …   Wiktionary

  • Euclidean space — Euclid′ean space′ n. math. ordinary two or three dimensional space • Etymology: 1880–85 …   From formal English to slang

  • Fixed points of isometry groups in Euclidean space — A fixed point of an isometry group is a point that is a fixed point for every isometry in the group. For any isometry group in Euclidean space the set of fixed points is either empty or an affine space.For an object, any unique center and, more… …   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

  • Euclidean vector — This article is about the vectors mainly used in physics and engineering to represent directed quantities. For mathematical vectors in general, see Vector (mathematics and physics). For other uses, see vector. Illustration of a vector …   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

  • Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… …   Wikipedia

  • Euclidean group — In mathematics, the Euclidean group E ( n ), sometimes called ISO( n ) or similar, is the symmetry group of n dimensional Euclidean space. Its elements, the isometries associated with the Euclidean metric, are called Euclidean moves.These groups… …   Wikipedia

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