Sentence examples for obtain the validity from inspiring English sources

Due to the definition of F given in the proof of Lemma 2.4, we obtain the validity of (18).

Considering this equality (34), and by using the definition of Fréchet differentiable, we can easily obtain the validity of the rule.

Therefore, for all (lambda> 12 { ( frac{T(A) | f | _{2}}{A} )}^{frac{4}{9}}), we obtain the validity of estimate (9) and the result is proved.

Among other things we obtain the validity of the spectral mapping theorem for the semigroup and the spectrally determined growth property.

In the light of the results obtained the validity of the model proposed is assessed.

Using the solution obtained, the validity of model simplifications that have appeared in the literature is evaluated by comparing the predictions of those models.

We obtain the regimes of validity of the small- and large-amplitude approximations as well.

Cummings et al 2 reported that, because there is no gold standard for comparison for the domains of disinhibition, euphoria, apathy, and irritability, they submitted the NPI to a panel of ten experts in neuropsychology, geriatric psychiatry, and behavioral neurology, and obtained the face validity of the instrument using the Delphi process.

Reasonable agreement was obtained, confirming the validity of the model.

end{aligned} (20) The contradiction obtained proves the validity of (18).

The numerical results obtained support the validity and efficiency of the proposed method.