Sentence examples for example demonstrates the validity from inspiring English sources

Finally, a numerical example demonstrates the validity of the method.

A numerical example demonstrates the validity of the main results.

The following example demonstrates the validity of Theorem 4.

An experimental example demonstrates the validity of the proposed scheme.

The illustrative example demonstrates the validity of the proposed scheme.

A simulation example demonstrates the validity of the proposed scheme.

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

In Section 5, two numerical examples demonstrate the validity of the method.

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.