Sentence examples for for given function from inspiring English sources

For given function, we set.

For given function (u_{k}in H_{h}), we have the following inequality on each triangular element (ein S_{h}): vert nabla w_{0} vert le vert nabla u_{k} vert ^{p-1}.

In this paper some results about the Hyers-Ulam-Rassias stability for thelinear functional equations in general form and its Pexiderized can beproved for given functions on general domain to a complex Banach spacesunder some suitable conditions.

where (2.2). holds for all and for given functions.

where is defined as in the beginning of Section 2, is strictly increasing odd function satisfying for, satisfies (4.2). for given functions and   satisfying for, and functions and satisfy that.

The neuropsychological approach in patients with brain lesions is of clear value in establishing the necessity of brain areas for given functions.

For convenience, for a given function ξ ∈ L∞[0, T], we denote the essential supremum and infimum of ξ by ξ* and ξ*, respectively.

If available resources compensate or if no disability is measured for a given function, the score for that item is zero and we consider that the needs have been fulfilled.

A method for determining function (mathsf{G}(m,k)) for a given function (mathsf{F}(m,k)) can be found in [17].

The necessary condition for to possess an extremum for a given function is that satisfies the following -Euler-Lagrange equations: (53).

Then the necessary condition for to possess an extremum for a given function is that satisfies the following Euler-Lagrange equations (311).