Sentence examples for derivation provides a from inspiring English sources

While these results are themselves surprising, they are in fact implicit in the results of other authors [ 7, 14], and our derivation provides a simple mathematical formula to capture the behaviour in terms of other parameters.

This derivation provides an important lesson for those new to MCMC implementation; the Hastings ratio may vary depending on the model parameterization; it is, therefore, necessary to calculate the ratio as a function of the same parameterization as the prior.

Finally, using simulations, we compare the obtained theoretical bounds with the numerical maximization of the SINR and the minimization of the BER to show that our derivations provide a good approximation of the optimal IBO.

The present derivation provides solutions for infinite domains of elastic materials under the influence of unit concentrated forces and couples.

Moreover, this derivation provides the basis for scheduling elective admissions as presented in Section  4.

Our IBS derivation provides rigorous justification for using this formula in any population when the number of markers is much larger than the number of lines.

This consistent Bayesian view on conceptually different algorithms highlights the probabilistic assumptions underlying the respective derivations and provides a powerful framework for further research in linear and nonlinear AEC.

Here we present its full derivation, provide more details and examples, include introductions from an animal reservoir and show how the method can be used to provide statistical expectations for new case predictions.

The proposed model describes the mutual reinforcement relationship between stems and derivations and then provides a probabilistic interpretation.

However, the derivation provided here is much simpler.

In contrast to other related studies [ 44], spectral derivation provided no improvement.