Euclidean space

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Euclid′ean space′


n.
ordinary two- or three-dimensional space.
[1880–85]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Euclidean space - a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
metric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
Translations
euklidovský prostor
espacio euclideoespacio euclídeoespacio euclidiano
euklidinen avaruus
euklidski prostor
ユークリッド空間
euklidiskt rum
References in periodicals archive ?
2] < [epsilon] ([epsilon] [member of] [Real part]), where the norm is the usual Euclidean norm in [[Real part].
L p u P P is defined as the p L norm of Euclidean norm of .
k+1] with respect to the Euclidean norm regardless of the space in which the original problem Ax = b is posed.
In [1] and [2] the formulae for the determinant, eigenvalues, Euclidean norm, spectral norm and inverse of the right circulant matrices with arithmetic and geometric sequences were derived.
This paper presents a criterion under which a square matrix B, if it is sufficiently close to a positive definite matrix A in Euclidean norm, can be determined to also be positive definite.
It is a non-trivial fact that the object created as the locus of the intersection of two circles is a line, and in fact this is only true for the usual norm used, the Euclidean norm [[parallel]x, y[parallel].
A left Euclidean norm [delta] defined on a semiring R is a function [delta] : R\{0} [right arrow] N satisfying the following condition:
The main purpose of this note is to give a new sharp bound in (1) in terms of the Euclidean norm of [f.
The Euclidean norm of the estimation error vector corresponds to the performance functions (n), which is used in the RLS algorithm given by