Sentence examples for this class of functions from inspiring English sources

This class of functions is denoted by (GK^{2}_{s} ).  .

This class of functions will be denoted by f ∈ K.

We establish the composition theorem for this class of functions.

For some properties of this class of functions see [13, 14, 15, 16, 17].

In this way, we have found very good Stehfest algorithm accuracy for this class of functions.

This class of functions extends and generalizes the well known Bloch space.

So, if we choose this class of function in Theorem 2.5 then for Λ1 we get Theorem 32 of [8] and similarly for Λ k, k = 2, 3, 4; the Theorems 34, 40, 41, and 42 of [8] all become special cases of Theorem 2.5 of this article.

Most gene regulatory interactions can be approximated using this class of function [ 40- 42] which varies between 0 and 1 with maximum steepness h (see Table 1 for full list of symbols).

Note that the initial condition of problem (1) implies that u ( z ) of the form u ( z ) = ∑ n = 1 ∞ a n z n, z ∈ U. (this class of analytic functions has wide applications in the geometric function theory and the univalent function theory when a 1 = 1 (see [28])); hence we obtain I z α D z α u ( z ) = u ( z ), α ∈ ( 0, 1 ).

Now the question is what happens if we use this class of utility functions in the joint power control and receive beamforming problem (2).

From this class of intellectual functions, Stumpf sets apart the class of feelings or emotional functions.