Sentence examples for and usefulness of the proposed methods from inspiring English sources

Numerical examples are provided to illustrate the effectiveness and usefulness of the proposed methods.

Finally, numerical simulations about the stabilization and synchronization problems of chaotic and hyper-chaotic dynamical systems are used to testify the validity and usefulness of the proposed method.

Illustrative examples are presented to demonstrate the effectiveness and usefulness of the proposed method.

A numerical example is provided to show the advantage and usefulness of the proposed method.

Examples are also included to illustrate the simplicity and usefulness of the proposed method.

Finally, several numerical examples are provided to illustrate the effectiveness and usefulness of the proposed method.

Numerical examples and their simulations are given to show the effectiveness and usefulness of the proposed method.

Finally, the enhancement of the feasible region of the proposed criteria is shown via numerical examples with simulation to illustrate the applicability and usefulness of the proposed method.

The example of a temperature control circuit design is provided to demonstrate the implementation and usefulness of the proposed method.

The effectiveness and usefulness of the proposed method and of the computer software developed are tested with the included examples.

Numerical experiments on the motion of periodic arrays of tubes and those of droplets have been conducted to examine the properties and usefulness of the proposed method.