vector space
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English
[edit]
Pronunciation
[edit]Noun
[edit]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.
- A vector space is a set of vectors which can be linearly combined.
- Each vector space has a basis and dimension.
Synonyms
[edit]Hypernyms
[edit]Hyponyms
[edit]- algebra over a field
- Banach space
- Euclidean space
- inner product space
- normed vector space
- quadratic space
- real vector space
Meronyms
[edit]Translations
[edit]mathematics
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