vector space en · NOUN
Pronunciation
- (US) audio
Meanings
-
A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints; equivalently, a module over a field.
A vector space is a set of vectors which can be linearly combined.
Each vector space has a basis and dimension.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| vector spaces | Number=Plur | lexicographic |
Hypernyms
Hyponyms
normed vector space · inner product space · Banach space · real vector space · algebra over a field · Euclidean space · quadratic space
Meronyms
linear subspace · vector · subspace
Synonyms
Translations (51)
sh vektorski prostor (mathematics) · az vektor fəzası (mathematics) · hy վեկտորական տարածություն (mathematics) · ga spás veicteoireach (mathematics) · ja ベクトル空間 (mathematics) · id ruang vektor (mathematics) · ast espaciu vectorial (mathematics) · ia spatio vectorial (mathematics) · vi không gian vectơ (mathematics) · eu bektore espazio (mathematics) · sl vektorski prostor (mathematics) · ta திசையன் வெளி (mathematics) · nl vectorruimte (mathematics) · sk vektorový priestor (mathematics) · fr espace vectoriel (mathematics) · el διανυσματικός χώρος (mathematics) · pt espaço vetorial (mathematics) · tr vektör uzayı (mathematics) · ky вектордук мейкиндик (mathematics) · pl przestrzeń wektorowa (mathematics) · th ปริภูมิเวกเตอร์ (mathematics) · hu vektortér (mathematics) · cmn 向量空間 /向量空间 (mathematics) · eo vektora spaco (mathematics) · ro spațiu vectorial (mathematics) · es espacio vectorial (mathematics) · sv vektorrum (mathematics) · fi vektoriavaruus (mathematics) · uk векторний простір (mathematics) · be вектарная прастора (mathematics) · cmn 矢量空間 /矢量空间 (mathematics) · ru ве́кторное простра́нство (mathematics) · no vektorrom (mathematics) · cs vektorový prostor (mathematics) · it spazio vettoriale (mathematics) · th ปริภูมิเชิงเส้น (mathematics) · mk векторски простор (mathematics) · da vektorrum (mathematics) · af vektorruimte (mathematics) · gl espazo vectorial (mathematics) · tl espasyong bektor (mathematics) · lt vektorinė erdvė (mathematics) · is vigurrúm (mathematics) · ms ruang vektor (mathematics) · fa فضای برداری (mathematics) · ko 벡터 공간 (mathematics) · ml സദിശസമഷ്ടി (mathematics) · ca espai vectorial (mathematics) · pl przestrzeń liniowa (mathematics) · de Vektorraum (mathematics) · et vektorruum (mathematics)