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Definition of Euclidean space
1. Noun. A space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional.
Generic synonyms: Metric Space
Definition of Euclidean space
1. Noun. Ordinary two- or three-dimensional space, characterised by an infinite extent along each dimension and a constant distance between any pair of parallel lines. ¹
2. Noun. (mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Euclidean Space
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