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When the scalar field is the real numbers, the vector space is called a real vector space, and when the scalar field is the complex numbers, the vector space is called a complex vector space. [4] These two cases are the most common ones, but vector spaces with scalars in an arbitrary field F are also commonly considered.
The construction of these new quick-build houses seemed like part of the solution to the housing crisis at the time. From 1945 to 1955, 1.5 million homes were completed, relieving some of the housing demand. The percentage of people renting from local authorities had risen from 10 per cent in 1938 to 26 per cent in 1961. [11]
Both vector addition and scalar multiplication are trivial. A basis for this vector space is the empty set, so that {0} is the 0-dimensional vector space over F. Every vector space over F contains a subspace isomorphic to this one. The zero vector space is conceptually different from the null space of a linear operator L, which is the kernel of L.
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Hundreds of temporary one-room housing units were being set up Thursday in northwest China for survivors of an earthquake that destroyed more than 14,000 homes and killed at least 135 people ...
Vector Launch, Inc. (formerly Vector Space Systems) is an American space technology company which aims to launch suborbital and orbital payloads. Vector Launch declared bankruptcy in December 2019 [ 5 ] and re-emerged in October 2020.
In mathematics, a real structure on a complex vector space is a way to decompose the complex vector space in the direct sum of two real vector spaces. The prototype of such a structure is the field of complex numbers itself, considered as a complex vector space over itself and with the conjugation map:, with () = ¯, giving the "canonical" real structure on , that is =.
This is a list of vector spaces in abstract mathematics, by Wikipedia page. Banach space; Besov space; Bochner space; Dual space; Euclidean space; Fock space; Fréchet space; Hardy space; Hilbert space; Hölder space; LF-space; L p space; Minkowski space; Montel space; Morrey–Campanato space; Orlicz space; Riesz space; Schwartz space; Sobolev ...