scalar product

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scalar product

n.
The numerical product of the lengths of two vectors and the cosine of the angle between them. Also called dot product, inner product.

scalar product

n
(Mathematics) the product of two vectors to form a scalar, whose value is the product of the magnitudes of the vectors and the cosine of the angle between them. Written: A·B or AB. Also called: dot product Compare vector product

in′ner prod′uct


n.
the quantity obtained by multiplying the corresponding coordinates of each of two vectors and adding the products, equal to the product of the magnitudes of the vectors and the cosine of the angle between them. Also called dot product, scalar product.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.scalar product - a real number (a scalar) that is the product of two vectors
real, real number - any rational or irrational number
References in periodicals archive ?
According to [5], CTC, describing the evolution of the trains of Manakov solitons must be modified by attaching the scalar products of the relevant polarization vectors to the exponential factors.
Also the evolution of the scalar products (n'k+1,nk) will deviate from their initial values by terms of the order of [epsilon].
Also recently in [25], appropriate scalar products are studied, which can guide the choice of block-diagonal preconditioners for self-adjoint saddle-point problems.
Good preconditioners (Riesz maps) are those which are induced by scalar products in X close to the A-scalar product.
He then moves to interval arithmetic, floating point arithmetic, implementation, hardware sorting for interval arithmetic, scalar products and complete arithmetic, principals of verified computing, and sample applications.
He covers implementations of arithmetic on computers (floating-point arithmetic and its implementation on a computer, hardware support for interval arithmetic and scalar products and complete arithmetic) and principles of verified computing including sample applications, including the extended interval Newton methods, verified solutions of systems of linear equations and multiple precision arithmetics.
The first one uses an index of confidence of the estimated orientation, and the second one the detection of minima of scalar products in a neighbourhood.
In this case [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], because according to the above, this inequality between the scalar products is valid and the coefficient -[epsilon] is positive.
The configuration flexibility built into the Scalar products allows for optimized control of library functions by allocating separate SCSI-2 addresses for the robotic control interface and the DLT drives.
We shall specify a convenient weight function in Section 3 allowing us to efficiently compute scalar products in [L.
where scalar products in H appear and where the asterisk denotes complex conjugation.