Sentence examples for examples demonstrate the validity from inspiring English sources

Finally, two numerical examples demonstrate the validity of this approach.

Numerical examples demonstrate the validity and accuracy of the proposed method.

Finally, two practical examples demonstrate the validity of the given results.

Numerical examples demonstrate the validity and effectiveness of the improved method.

Finally, several representative examples demonstrate the validity of the present approach.

Numerical examples demonstrate the validity of the proposed formulation and numerical techniques.

The illustrative example demonstrates the validity of the proposed scheme.

An experimental example demonstrates the validity of the proposed scheme.

A simulation example demonstrates the validity of the proposed scheme.

A numerical example demonstrates the validity of the method.

In the end, a number example demonstrates the validity of the presented results.