n-dimensional euclidean space
1Euclidean 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… …
2Euclidean 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… …
3Euclidean 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… …
4Euclidean 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 …
5Euclidean space — Euclid′ean space′ n. math. ordinary two or three dimensional space • Etymology: 1880–85 …
6Fixed 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… …
7Space (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… …
8Euclidean 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 …
9Euclidean 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.… …
10Space 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… …
