Sentence examples for consist of functions from inspiring English sources

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

For an appropriate, the -neighbourhood of a function is shown to consist of functions in the class.

Let the set D ∗ ⊂ L 2 ( R ) consist of functions g ∈ H loc 1 ( R ) such that v Q ( D ) ( v g ) ∈ L 2 ( R ).

Let the set D ∗ ⊂ H K ( 0, t 0 ) consist of functions satisfying the boundary conditions f ( 0 ) = f ′ ( 0 ) = ⋯ = f ( K - 1 ) ( 0 ) = 0. (5.2)The following assertion defines H as a self-adjoint operator.

Suppose that v ∈ C 1 ( R ) and v > 0. Let the space K = K v consist of functions g ∈ H loc 1 ( R ) with the norm ‖ g ‖ v 2 = ∫ - ∞ ∞ ( v 2 | g ′ | 2 + v - 2 | g | 2 ) d ξ.

Let be the open unit disk in the complex plane, and let denote the class of analytic functions defined in For and, let consist of functions of the form.

The Paley Wiener space consists of functions whose Fourier transform is compactly supported in the frequency domain.

The class consists of functions satisfying in and the subordination.

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

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

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