Sentence examples for Show the validity of this from inspiring English sources

Various experiment results are given to show the validity of this method.

Two illustrative examples are presented to show the validity of this approach.

Numerical results in two and three-dimensional spaces are reported to show the validity of this numerical approach.

The effectiveness of proposed approach is demonstrated with experimental results which show the validity of this method to recognise complex shape features.

The good agreement of the obtained spectra for the isochoric heating of solid aluminum under XUV free electron laser (XUVFEL) irradiation show the validity of this approach.

Some comparative tests both with a simulator and a real platform will be presented to show the validity of this control architecture.

Let us note that in Theorem 4.2 the gauge function only satisfies lim n → ∞ φ n ( t ) = 0 for all t > 0, and it does not necessarily satisfy φ ( t ) < t for all t > 0. In this section, we shall provide an example to show the validity of the main results of this paper.

Theorem 3 Let G be a connected ( n, m ) -graph and let ∇ be the absolute value of the determinant of the Kirchhoff matrix Kf A ( G ). Then 2 ∑ 1 ≤ i < j ≤ n ( k i j ) 2 + n ( n − 1 ) ∇ 2 / n ≤ EKf ( G ). Proof In the light of Theorem 2, if we show the validity of the lower bound, then this finishes the proof.

In this section, two numerical examples are presented to show the validity of the main results derived in this paper.

The simulation results show the validity of the sliding mode compensator for this kind of nonlinear dynamic model of PES.

In this section, we will give two examples to show the validity of the proposed results.