- Euclidean subspace
- евклидово подпространство
The New English-Russian Dictionary of Radio-electronics. F.V Lisovsky . 2005.
Euclidean subspace
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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
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
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
Subspace (linear algebra) — In linear algebra, subspace may refer to:* Euclidean subspace, a set of vectors in n dimensional Euclidean space that is closed under addition and scalar multiplication. * Linear subspace, the corresponding notion for abstract vector spaces … 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
Linear subspace — The concept of a linear subspace (or vector subspace) is important in linear algebra and related fields of mathematics.A linear subspace is usually called simply a subspace when the context serves to distinguish it from other kinds of subspaces.… … Wikipedia
Quotient of subspace theorem — The quotient of subspace theorem is an important property of finite dimensional normed spaces, discovered by Vitali Milman.Let (X, | cdot |) be an N dimensional normed space. There exist subspaces Z subset Y subset X such that the following holds … Wikipedia
Flat (geometry) — In geometry, a flat is a subset of n dimensional space that is congruent to a Euclidean space of lower dimension. The flats in two dimensional space are points and lines, and the flats in three dimensional space are points, lines, and planes.In n … Wikipedia
Kernel (matrix) — In linear algebra, the kernel or null space (also nullspace) of a matrix A is the set of all vectors x for which Ax = 0. The kernel of a matrix with n columns is a linear subspace of n dimensional Euclidean space.[1] The dimension… … Wikipedia
List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… … Wikipedia
Column space — The column vectors of a matrix. In linear algebra, the column space of a matrix (sometimes called the range of a matrix) is the set of all possible linear combinations of its column vectors. The column space of an m × n matrix is a… … Wikipedia
