# vector space

(redirected from Complex vector)
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Related to Complex vector: Complex vector bundle

## vector space

n.
A system consisting of a set of generalized vectors and a field of scalars, having the same rules for vector addition and scalar multiplication as physical vectors and scalars.

## vector space

n
(Mathematics) maths a mathematical structure consisting of a set of objects (vectors) associated with a field of objects (scalars), such that the set constitutes an Abelian group and a further operation, scalar multiplication, is defined in which the product of a scalar and a vector is a vector. See also scalar multiplication
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References in periodicals archive ?
Let A be a square complex matrix, and let v be a complex vector of the corresponding dimension.
The complex vector [[bar.i].sub.1] represents the harmonic component of the fundamental frequency of the vector i(t).
where [E.sub.s] is the energy and [PSI](r) is one complex vector function.
Another paper constructs and studies a formulation of a chargeless complex vector matter field in a supersymmetric framework.
where x = [([x.sub.1], [x.sub.2], ..., [x.sub.n]).sup.T] [member of] [c.sup.n] is a state complex vector, x = [x.sup.Re] + j[x.sup.Im], [x.sup.Re] = [([w.sub.1], [w.sub.3], ..., [w.sub.2n-1]).sup.T], [x.sup.Im] = [([w.sub.2], [w.sub.4], ..., [w.sub.2n]).sub.T], j = [square root of (-1)], T denotes transpose, [PSI] [member of] [R.sup.nxn] is real (or complex) matrix of system parameters, F = [([f.sub.1], [f.sub.2], ..., [f.sub.n]).sup.T] is a vector of nonlinear complex functions, and coordinating Re and Im symbolize the real and imaginary parts of the state complex vector x.
In [2], Schmidl and Cox proposed a preamble of the form [A A] where A is a random complex vector of length N/2.
Let X be a locally convex real or complex vector space.
In Geometric algebra, a complex vector is defined as a sum of a vector and a bivector.
Because r is a complex vector, it is relatively difficult to solve this complex vector by some traditional techniques.
The complex vector of beamformer weights calculated by the aforementioned (27)-(31) is presented in Table 2, whereas the beam patterns generated are plotted in Figure 3.
The resultant 16 x 1 complex vector is applied to the maximum likelihood (ML) detector for detecting the CFI value.

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