Sentence examples for give regularity from inspiring English sources

We first give regularity conditions for model (1).

In addition, when mesh is refined under a given regularity condition, a sufficiently smooth target function can be approximated by its interpolated function with arbitrary accuracy, meaning that the interpolation error norm approaches to zero.

The paper gives regularity conditions under which the proposed two-step estimators are consistent and asymptotically normal; a Monte Carlo study compares the finite sample behavior of the proposed methods with their one-step counterparts.

The values of the average grain heights are correlated to the values of the average grain areas and are localized in a limited area, indicating a given regularity during the different carbon depositions.

A curve was then fitted to these datapoints, and the hard disk diameter necessary to achieve a given regularity index was read off of this curve.

If Σ and μ do not represent the true model but the alternative model (Σ0 and μ0), and given regularity conditions are satisfied (practically amounting to multivariate normality, limited misfit and large sample size N), the test statistic T follows a non-central χ distribution with df0 degrees of freedom and non-centrality parameter λ, i.e., T ∼ χ(df0, λ), where λ > 0.

According to Moretti, "fillers function very much like the good manners so important in Austen: they are both mechanisms designed to keep the 'narrativity' of life under control – to give a regularity, a 'style' to existence".

We also give several regularity results on the density dμ/dμ0.

We also give the regularity for the nonlinear equation.

In Section 3, we give the regularity for nonlinear equation (1.2).

Now we give a regularity result of an ( l, m ) weak solution.