vector space

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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
References in periodicals archive ?
the 3D complex vector of phase symmetrical sinusoidal voltages
In Geometric algebra, a complex vector is defined as a sum of a vector and a bivector.
In [2], Abardia and Bernig studied projection bodies in complex vector spaces: The real vector space V of real dimension n is replaced by a complex vector space W of complex dimension m and the group SL(V) = SL(n, R) is replaced by the group SL(W,C) = SL(m,C).
The restrictions of complex vector computing mean traditional vectoring systems can support only 384 access lines.
I'M sure wind power enthusiasts Trefor Davies and Peter Leach (Letters) would never put pen to paper, advising mathematicians on how to carry out complex vector or trigonometric equations.
R] is a K x 1 complex vector of the received signal at the K relays and [y.
The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve, explains Meziani (mathematics, Florida International U.
It has been observed that the Complex Vector Method (CVM) --already used for analyzing plane electromagnetic waves--can be effectively used for representing time-harmonic magnetic fields.
Topic covered in the papers include class field theory, zeta functions, moduli of arithmetic vector bundles, moduli of complex vector bundles, moduli of abelian varieties and theory of display, moduli of Fermat varieties, and some topics on cubic threefolds.
Complex numbers are sets that represent possible physical states and form an abstract complex vector space of growth and increment.
adjph Multiplies a complex vector by a phase factor such that its real part and its imaginary part are orthogonal and the norm of the real part is greater than or equal to the norm of the imaginary part.

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