Euclidean space

(redirected from Euclidean vector)
Also found in: Thesaurus, Encyclopedia, Wikipedia.
Related to Euclidean vector: magnitude, Euclidean vector space

Euclid′ean space′

ordinary two- or three-dimensional space.
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
euklidovský prostor
espacio euclideoespacio euclídeoespacio euclidiano
euklidinen avaruus
euklidski prostor
euklidiskt rum
References in periodicals archive ?
The text begins with linear equations, matrices, and determinants, then moves onto Euclidean vector spaces, Rn, and general vector spaces.
2m] is the total space of the sphere bundle associated to the euclidean vector bundle [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and vector bundle theory yields obstructions to the existence of an equivariant map as above.
Throughout this paper [parallel]x[parallel] denotes the Euclidean vector norm or the associated induced matrix norm.