Sentence examples for validity of the present from inspiring English sources

This comparison proved the validity of the present formulation.

For illustrating the validity of the present results, some examples have been proposed.

Finally, two examples were given to demonstrate the validity of the present method.

Finally, two examples are demonstrated to verify the validity of the present method.

Some numerical examples are included to demonstrate the validity of the present method.

Numerical examples on fatigue crack growth are given to illustrate the validity of the present method.

The validity of the present method is verified through numerical studies.

A multispan flexible beam is used to verify the validity of the present approach.

Several examples are demonstrated to see the validity of the present method.

The validity of the present method has been confirmed by the results of the program computation.

Several experiments are performed to verify the validity of the present method, and the limitation and potential applications are discussed.