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vector space

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English

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Noun

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vectorspace (pluralvector spaces)

  1. (algebra, geometry, topology) Aset of elements calledvectors, together with somefield and operations calledaddition (mapping two vectors to a vector) andscalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list ofconstraints; equivalently, amodule over afield.
    Avector space is a set of vectors which can belinearly combined.
    Eachvector space has a basis and dimension.

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mathematics
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