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 ?
He cover principal component analysis, multiple correspondence analysis, the factorial analysis of mixed data, weighting groups of variables, comparing clouds of partial individuals, factors common to different groups of variables, comparing groups of variables and the Indscal model, qualitative and mixed data, multiple factor analysis and Procrustes analysis, hierarchical multiple factor analysis, and matrix calculus and Euclidean vector space.
The text begins with linear equations, matrices, and determinants, then moves onto Euclidean vector spaces, Rn, and general vector spaces.
The primary text covers linear equations, matrices, and determinants, Euclidean vector spaces, Rn, and general vector spaces, eigenvalues and eigenvectors, inner product spaces, diagonalization and quadratic forms, general linear transformations, and numerical methods.