Sentence examples for ensures the regularity of from inspiring English sources

The condition assumed a few lines above ensures the regularity of the lacunary statistical sequential method.

We will show that the condition begin{aligned} partial _3varvec{u}in L^p(0,T;L^q(mathbb {R}^3)),quad frac{2}{p}+frac{3}{q}=2,quad frac{3sqrt{37}}{4}-3le qle 3 end{aligned} (10 could ensure the regularity of the solution.

This shows that the Hurst parameter H determines the conditions which ensure the regularity of the stochastic convolution and the existence of a random attractor generated by the mild solution for equation (1.3).

To ensure the regularity and reproducibility of respiration during the RGRT, the audio-guided or the video-guided feedback techniques have been suggested and shown to be beneficial when compared to the free breathing [ 15, 16].

Therefore some additional assumptions on the coefficients is needed to ensure the regularity results.

The primary structure of fibrous proteins is also characterized by high regularity and periodicity, which ensures the formation of vast regular secondary structures.

It ensures the existence of the biorthogonal dual refinable function with arbitrarily prescribed regularity.

It is an obvious observation that a uniform ellipticity on the coefficients is not enough to ensure the kind of regularity we mentioned above.

Further to this, Beraca says it maintains the quality and the regularity of active ingredients contents, batch by batch to ensure there are no irregularities.

Besides, the regularity of the level set function is intrinsically preserved by the length regularization term to ensure the curve smooth.

The merging of the two projects in 1997 allowed benefitting from quality assurance interventions to ensure the effectiveness and regularity of district supervision system and improve the availability of essential drug supply before the beginning of IMCI clinical training.