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In mathematics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied ("scaled") by numbers called scalars. The operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms. Real vector spaces and complex vector spaces are kinds of…
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vector displaystyle space spaces mathbf linear called field vectors example functions function two also product scalar multiplication dimension given set
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Vector space | is a | abelian group under addition | 0.90 | text |
| Vector space | is a | module over a field | 0.90 | text |
| Vector space | is a | basis if its elements are linearly independent and span the vector space | 0.90 | text |
| Vector space | is a | affine space over itself | 0.90 | text |
| spaces of p-integrable functions | instance of | notably with key concepts | 0.80 | text |
| Hilbert spaces | instance of | notably with key concepts | 0.80 | text |
| the first isomorphism theorem | instance of | many statements | 0.80 | text |
| linear maps to several variables | instance of | which deals with extending notions | 0.80 | text |
| energy | instance of | Definite values for physical properties | 0.80 | text |
| or momentum | instance of | Definite values for physical properties | 0.80 | text |
| correspond to eigenvalues of a certain | instance of | Definite values for physical properties | 0.80 | text |
| locally free modules | instance of | The algebro-geometric interpretation of commutative rings via their spectrum allows the development of concepts | 0.80 | text |
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