Euclidean space

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Related to Euclidean vector: magnitude, Euclidean vector space

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 ?
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.