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Dictionary

Words, grammatical forms and meanings linked to the ontology.

Euclidean space en · NOUN

Meanings

  1. (countable, uncountable) Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
  2. (countable, uncountable) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.

Forms

SpellingFeaturesLabelsSource
Euclidian space alternative lexicographic
Euclidean spaces Number=Plur lexicographic

Hypernyms

Hilbert space · real vector space · inner product space

Synonyms

Cartesian space

Translations (19)

es espacio euclídeo (ordinary space) · th ปริภูมิแบบยุคลิด (ordinary space) · da euklidisk rum (ordinary space) · pt espaço euclidiano (ordinary space) · es espacio euclidiano (ordinary space) · fr espace euclidien (ordinary space) · hu euklideszi tér (ordinary space) · pl przestrzeń euklidesowa (ordinary space) · ja ユークリッド空間 (ordinary space) · fi euklidinen avaruus (ordinary space) · ko 유클리드 공간 (ordinary space) · sv euklidiskt rum (ordinary space) · pl przestrzeń euklidesowa (type of vector space) · ro spațiu euclidian (ordinary space) · ru евкли́дово простра́нство (ordinary space) · el Ευκλείδειος χώρος (ordinary space) · ko 유클리드 공간 (type of vector space) · cs euklidovský prostor (ordinary space) · sh euklidski prostor (ordinary space)