Noun
vector space (plural vector spaces)
- (algebra, geometry, topology) 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.
Each vector space has a basis and dimension.
Translations
mathematics
- Afrikaans: vektorruimte
- Armenian: վեկտորական տարածություն (vektorakan taracutʻyun)
- Asturian: espaciu vectorial m
- Basque: bektore espazio
- Belarusian: вектарная прастора f (vjektarnaja prastóra)
- Catalan: espai vectorial m
- Chinese:
- Mandarin: 向量空間 / 向量空间 (xiàngliàng kōngjiān), 矢量空間 / 矢量空间 (shǐliàng kōngjiān)
- Czech: vektorový prostor m
- Danish: vektorrum n
- Dutch: vectorruimte (nl) f
- Esperanto: vektora spaco
- Estonian: vektorruum
- Finnish: vektoriavaruus (fi)
- French: espace vectoriel (fr) m
- Galician: espazo vectorial m
- German: Vektorraum m
- Greek: διανυσματικός χώρος m (dianysmatikós chóros)
- Hungarian: vektortér (hu)
- Icelandic: vigurrúm n
- Indonesian: ruang vektor
- Interlingua: spatio vectorial
- Irish: spás veicteoireach m
- Italian: spazio vettoriale (it) m
- Japanese: ベクトル空間 (ja) (bekutoru kūkan)
- Korean: 벡터 공간 (bekteo gonggan)
- Kyrgyz: вектордук мейкиндик (vektorduk meykindik)
- Lithuanian: vektorinė erdvė f
- Macedonian: векторски простор m (vektorski prostor)
- Malay: ruang vektor
- Malayalam: സദിശസമഷ്ടി (sadiśasamaṣṭi)
- Norwegian: vektorrom (no) n
- Persian: فضای برداری
- Polish: przestrzeń wektorowa f, przestrzeń liniowa f
- Portuguese: espaço vetorial (pt) m
- Romanian: spațiu vectorial n
- Russian: ве́кторное простра́нство (ru) n (véktornoje prostránstvo)
- Serbo-Croatian: vektorski prostor m
- Slovak: vektorový priestor m
- Slovene: vektorski prostor m
- Spanish: espacio vectorial (es) m
- Swedish: vektorrum (sv) n
- Tagalog: espasyong bektor
- Tamil: திசையன் வெளி (ticaiyaṉ veḷi)
- Thai: ปริภูมิเวกเตอร์, ปริภูมิเชิงเส้น
- Turkish: vektör uzayı
- Ukrainian: векторний простір m (vektornyj prostir)
- Vietnamese: không gian vectơ (vi)
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