Sentence examples for validity of the derivation from inspiring English sources

As explained in the last paragraph of the theory section, the validity of the derivation is lost when 1 + 2 βy becomes near zero.

approaches well the simulated one SC-2/4QAM (num)., proving the validity of the derivations.

By conducting migration experiments on surfaces with different magnitudes of the hysteresis effect, we verify the validity of the theoretical derivation.

Good agreements among analytical predictions, finite element simulations and experimental evaluations are achieved, which prove the validity of the present derivation and simulation.

The validity of the theoretical derivations is demonstrated via simulations.

This corroborates the validity of the Bayesian derivations that lead to LMCS.

Numerical and simulation results are used to demonstrate the validity of the theoretical derivations.

Furthermore, numerical results have confirmed the validity of the analytical derivations in terms of closed-form BER expressions, since a fairly good agreement between the simulation and the analytical results is observed.

Grain-resolving simulations of the type to be discussed in the following are expected to provide a tool for further investigating the validity of the assumptions underlying the derivation of the μ(I) rheology.

Grain-resolving simulations based on the approach outlined here will provide a tool for further investigating the validity of the assumptions underlying the derivation of the μ(I) rheology.

Some simulation result of synchronization and secure communication of chaotic systems is given to present the validity of theoretical derivations and the performance of the proposed observer as an application.