Sentence examples for applications of our methods from inspiring English sources

Applications of our methods to more general central twisted crossed products are discussed.

In Section 3 we give our main results and we get topological information on the set of T-periodic pairs to the considered equations; examples of applications of our methods are provided.

Also, in Section 4, we explore extensions and applications of our methods where additional scaffolding information is available.

Applications of our method to the Kadomtsev Petviashvili and the Zakharov Kuznetsov equations exhibit excellent results.

We also present an example to illustrate potential applications of our method in clinical diagnosis.

Numerical simulation for a realistic model with complex topography demonstrates the effectiveness and potential applications of our method.

Applications of our method include demonstrating the presence of population structure, assigning individuals to populations, studying hybrid zones, and identifying migrants and admixed individuals.

We expect to see applications of our method to a broad spectrum of diseases for post-GWAS analysis.

We solve the Helmholtz equation since, for variations in the parameter, the solutions have qualitative properties that well illustrate the applications of our method.

Potential applications of our method, including crater counting, landscape feature search, and large scale quantitative comparisons of Martian surface morphology, are identified and evaluated.

Finally, three computational experiments are carried out on one specific ATS, Jinan ATS, and numerical results are presented to illustrate the applications of our method.