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Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: metric space
No etymology was provided for this word.
Across languages
Translations
19 source translations are retained for this English entry.
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Czech:
euklidovský prostor
— ordinary space
-
Danish:
euklidisk rum
— ordinary space
-
Finnish:
euklidinen avaruus
— ordinary space
-
French:
espace euclidien
— ordinary space
-
Greek:
Ευκλείδειος χώρος
(Efkleídeios chóros)
— ordinary space
-
Hungarian:
euklideszi tér
— ordinary space
-
Japanese:
ユークリッド空間
(Yūkuriddo kūkan)
— ordinary space
-
Korean:
유클리드 공간
(yukeullideu gonggan)
— ordinary space
-
Polish:
przestrzeń euklidesowa
— ordinary space
-
Portuguese:
espaço euclidiano
— ordinary space
-
Romanian:
spațiu euclidian
— ordinary space
-
Russian:
евкли́дово простра́нство
(jevklídovo prostránstvo)
— ordinary space
-
Serbo-Croatian:
euklidski prostor
— ordinary space
-
Spanish:
espacio euclídeo
— ordinary space
-
Spanish:
espacio euclidiano
— ordinary space
-
Swedish:
euklidiskt rum
— ordinary space
-
Thai:
ปริภูมิแบบยุคลิด
— ordinary space
-
Korean:
유클리드 공간
(yukeullideu gonggan)
— type of vector space
-
Polish:
przestrzeń euklidesowa
— type of vector space