Euclidean space

== English == === Alternative forms === Euclidian space === Noun === Euclidean space (countable and uncountable, plural Euclidean spaces) Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines. (mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined. ==== Synonyms ==== Cartesian space ==== Hypernyms ==== Hilbert space inner product space real vector space ==== Translations ====