vector space (0 synonym found)

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vector spaces  ยท  factor space

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Definition of vector space:

(n) : a type of set of vectors that satisfies a specific group of constraints; a set V, whose elements are called "vectors", together with a binary operation + forming a module (V,+), and a set F* of bilinear unary functions f*:V→V, each of which corresponds to a "scalar" element f of a field F, such that the composition of elements of F* corresponds isomorphically to multiplication of elements of F, and such that for any vector v, 1*(v) = v
"a vector space is a set of vectors which can be linearly combined."
Definition of vector space:

(n) : a type of set of vectors that satisfies a specific group of constraints; a set V, whose elements are called "vectors", together with a binary operation + forming a module (V,+), and a set F* of bilinear unary functions f*:V→V, each of which corresponds to a "scalar" element f of a field F, such that the composition of elements of F* corresponds isomorphically to multiplication of elements of F, and such that for any vector v, 1*(v) = v
"a vector space is a set of vectors which can be linearly combined."
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