q] (p) with a pole q [member of] [SIGMA] is a real-valued function
satisfying the following conditions:
Let f be a differentiable real-valued function
defined on Rn.
where [omega] [member of] R and u is real-valued function
He proposed that the homogeneous Dirichlet conditions may be satisfied exactly by representing the solution as the product of two functions: (1) an real-valued function
that takes on zero values on the boundary points; and (2) an unknown function that allows to satisfy (exactly or approximately) the differential equation of the problem.
It can be used to perform the validation, compilation, and evaluation of any real-valued function
Let A be a Holder continuous complex-valued function on [GAMMA] with A [not equal to] 0 and [gamma] be a Holder continuous real-valued function
A real-valued function
f (t) (t > 0) is said to be in the space [C.
A radial basis function (RBF) is a real-valued function
whose value depends only on the distance from the origin, so that; [empty set] (a) = [empty set] ([parallel]a[parallel] or alternatively on the distance from some other point c, called a center, so that [empty set] (a, c) = [empty set] ([parallel]x - c[parallel].
United extensions are functions that are created by taking a real-valued function
f and computing the range of values f (x) takes as x is varied through an interval X .
5] : Let F be a twice-differentiable, real-valued function
of an m x n matrix X.
n], and let h be a differentiable real-valued function
defined on X.
Suppose that [PHI] is a positive multimeasure and f is a real-valued function