Sentence examples for to show the validity from inspiring English sources

To show the validity, simulation and experimental results are presented.

In Section 4, a numerical example is given to show the validity of the theoretical results.

In this section, we will provide an example to show the validity of Theorem 3.1.

Also, an application is given to show the validity of our results.

In this section, we will give two examples to show the validity of the proposed results.

We construct three examples to show the validity of our results.

We consider also some applications to show the validity of our results.

An example is given to show the validity of our results.

A numerical simulation is given to show the validity of the developed results.

A numerical example is illustrated to show the validity of the proposed method in Section 4.

The numerical example has been demonstrated to show the validity of these new sufficient conditions.