scalar function


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scalar function

[′skā·lər ′fəŋk·shən]
(mathematics)
A function from a vector space to its scalar field.
(physics)
A function of position and time whose value at each point is a scalar.
References in periodicals archive ?
If a scalar function V(t,x(t)) is lower bounded and the Caputo fractional derivative of V(x(t)) along the solution x(t) of system (3.1) [mathematical expression not reproducible] is negative semi-definite, then x(t) [right arrow] 0 as t [right arrow] +[infinity].
Moreover, we can also use this to represent the integration of two scalar functions, [phi](r) and [rho](r).
Standard Galerkin formulation is obtained by introducing the approximation of scalar function [[phi].sup.h] and test function [w.sup.h] using (13) to the weak form in (10) to find convex meshfree solution [[phi].sup.h] [member of] [H.sup.1] ([OMEGA]) such that
where [tau] = [tau](x) is a scalar function, k, c are constants with c [not equal to] 0 and 1 - k[b.sup.2] [greater than or equal to] 0, and d = d(x) is given by
This paper deals with nonlinear integral inequalities which involve the maximum of the unknown scalar function of two variables.
where [psi]= -[d.sup.2]r([lambda], [lambda]) is a scalar function.
We recall the pullback [T.sup.*] of a distribution along a scalar function T : X [right arrow] Y in section 2.
From the Definition 4.1 there exists a scalar function [kappa](s) such that
A gradient image, in fact the norm, is a scalar function with values in the reduced interval [0;1], i.e., [nabla] : E [right arrow] [0;1].
A monochrome digital image can be thought of as a scalar function of two spatial dimensions (x, y).
The vector characterisation could then be translated into a single-valued scalar function, T.