| 单词 | vector space |
| 释义 | > as lemmasvector space vector space n. a group whose elements can be combined with each other and with the elements of a scalar field in the way that vectors can, addition within the group being commutative and associative and multiplication by a scalar being distributive and associative. ΘΚΠ the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector > vector space linear algebra1870 Lie algebra1935 vector space1937 1937 A. A. Albert Mod. Higher Algebra Index 319/2 Vector space; see Linear set. 1965 [see sense 2b]. 1970 Nature 19 Dec. 1234/2 A vector space is built up linearly by means of ‘scalar’ multipliers from a number field. 1972 A. G. Howson Handbk. Terms Algebra & Anal. viii. 39 Homomorphisms of vector spaces..preserve linear combinations of the type λ1a1 + λ2a2 +…+ λnan. < as lemmas |
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