Sentence examples for consisting of functions from inspiring English sources

Moreover, assume that the embedding is compact; then the set consisting of functions, such that (2.20).

Let be the corresponding class consisting of functions such that lies in the region.

Let ({mathcal{A}}) denote the subclass of ℋ consisting of functions normalized by (f(0)=0), (f'(0)=1).

Let denote the subclass of ℋ consisting of functions normalized by f ( 0 ) = 0 and f ′ ( 0 ) = 1.

Let be the subspace of consisting of functions "vanishing at infinity," and be the space of bounded regular Borel measure on with the variation norm.

For any function if then is a simple zero of if For any integer and any define sets consisting of functions satisfying the following conditions: (i).

The class consists of functions satisfying in and the subordination.

The class consists of functions such that in for some and satisfying the subordination.

These nodes consist of functions and terminals that should be chosen according to the problem.

The class consists of functions satisfying in and the subordination (2.1).

For real, the class consists of functions satisfying, in and the subordination.