Sentence examples for the validity and efficiency of from inspiring English sources

The validity and efficiency of the present algorithm is demonstrated.

Finally some benchmark data sets are applied to demonstrate the validity and efficiency of this method.

The validity and efficiency of the new method is demonstrated through three numerical examples.

The validity and efficiency of present scheme is confirmed by comparing with available reported results.

Numerical examples are given to illustrate the validity and efficiency of the present method.

We confirm the validity and efficiency of this system by performing simulations.

Finally, simulation results demonstrate the validity and efficiency of the proposed method.

The obtained results show the validity and efficiency of the proposed model.

Finally, we provide a numerical example to demonstrate the validity and efficiency of the derived methods.

The validity and efficiency of the procedure are investigated through both analytical and experimental results.

Numerical examples are given to illustrate the validity and efficiency of this approach.