euclidean spaces

listen to the pronunciation of euclidean spaces
الإنجليزية - الإنجليزية
plural form of Euclidean space
Euclidean space
Ordinary two- or three-dimensional space, characterised by an infinite extent along each dimension and a constant distance between any pair of parallel lines
Euclidean space
Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined
Euclidean space
In geometry, a two-or three-dimensional space in which the axioms and postulates of Euclidean geometry apply; also, a space in any finite number of dimensions, in which points are designated by coordinates (one for each dimension) and the distance between two points is given by a distance formula. The only conception of physical space for over 2,000 years, it remains the most compelling and useful way of modeling the world as it is experienced. Though non-Euclidean spaces, such as those that emerge from elliptic geometry and hyperbolic geometry, have led scientists to a better understanding of the universe and of mathematics itself, Euclidean space remains the point of departure for their study
euclidean space
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
euclidean spaces
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