real-valued function

real-valued function

[¦rēl ¦val·yüd ′fəŋk·shən]
(mathematics)
A function whose values are real numbers.
References in periodicals archive ?
For p = 1, every h is completely charaterized by a real-valued function of a single variable (see Dajczer et al.
We recall that a real-valued function u on a topological space (X, [tau]) is said to be upper semicontinuous if [u.sup.-1](] - [infinity], [alpha][) = {x [member of] X: u(x) < [alpha]} is an open set for all [alpha] [member of] R.
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.
where [k.sub.1] is the 1th curvature function and [lambda] is the real-valued function on [a, b].
where [omega] [member of] R and u is real-valued function. In fact, we find solutions (26) satisfying the boundary condition u([+ or -][infinity]) = 0 and solutions (32) satisfying the boundary condition (u(-[infinity]), u(+[infinity])) = (0,1) or (1, 0).
It can be used to perform the validation, compilation, and evaluation of any real-valued function. It includes a computation engine as well, which is used to calculate the function values over its definition domain.
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 on [GAMMA].
A real-valued function f (t) (t > 0) is said to be in the space [C.sub.[mu]]([mu] [member of] R) if there exists a real number p > [mu] such that f (t) = [t.sup.p][phi] (t).