euclidean space

Englisch - Türkisch

Englisch - Englisch

Definition von euclidean space im Englisch Englisch wörterbuch: Ordinary two- or three-dimensional space, characterised by an infinite extent along each dimension and a constant distance between any pair of parallel lines; Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined; 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; a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Euclidean spaces: plural form of Euclidean space