Sentence examples for apply the generated from inspiring English sources

We apply the generated pumping schedule to the high-fidelity hydraulic fracturing model, and the performance is compared with Nolte's pumping schedule.

In addition, when the flock sizes of Constructions 1 and 2 are fixed to be two, we can apply the generated Z-complementary sets to those systems exploiting GPC [11] and GPZ [14] sequences.

For instance, Randić et al. [ 27, 28] and He et al. [ 19] directly apply the generating graphical representation of protein sequences to compare the similarities/dissimilarities of the protein sequences of different species.

By applying the generated asset index, sample households were classified into five quintiles.

Some new formulae of products of the Frobenius-Euler polynomials are established by applying the generating function methods and some summation transform techniques.

In this paper, by applying the generating function methods and summation transform techniques, we establish some new convolution identities for the Frobenius-Euler polynomials.

By applying the generating function technique, some important performance measures are derived, which may be useful for network and software system engineers.

Motivated and inspired by the work of the above authors, in this paper we establish some similar convolution identities for the classical Frobenius-Euler polynomials to (1.6) by applying the generating function methods and summation transform techniques developed in [18].

Motivated by the work of Carlitz [24], in the present paper we establish some new formulae of products of the Frobenius-Euler polynomials by applying the generating function methods and some summation transform techniques.

Some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials and numbers are established by applying the generating function methods and some summation transform techniques.

As further applications, we obtain some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials and numbers by applying the generating function methods and some summation transform techniques.