Sentence examples for regularity was established from inspiring English sources

An explosion of porous alumina research was ignited once the capability of producing a nanohole array with excellent regularity was established by Masuda et al. [6].

We recall from the introduction that under the stronger assumption (inf _{B_1} lambda _1>0), (inf _{B_1}-lambda _2>0), this problem is studied in [12] and the optimal interior (C^{1,1}) regularity is established.

The first of these two regularities was established in the seminal paper on economic assimilation of foreign-born males in the U.S. labor market by Chiswick's (1978) using 1970 census data.

Trends, patterns and regularities were established during data and information analyses in order to develop hypotheses, theories and conclusions.

Regularity of attendance was established from the questionnaire.

Another cause was the survival of the central bureaucracy; the civil servants in Moscow had served all successive governments without much interruption and were ready to restore administrative regularity as soon as political order was established.

Further regularity of the pluricomplex Green function was established in [56] and [18] (see also [19]): if (Omega ) is (C^{2,1} -smooth and strongly pseudoC^{2,1} -smooth andixed (win Omega ) we have (G_Omega (cdot,w)in C^{1,1}(bar{Omega }{strongly }{w})).

Regularity criterion of weak solutions to the MHD equations in terms of the vorticity was established in [34].

By exploring the regularity of interior disturbances in an office building, a simplified evaluation model for interior cooling load was established in this paper.

Finally, regularity of swirling intense distribution and drop-turbulence interaction in a swirling flow field with a low inlet velocity was established.

A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field in Morrey-Campanato spaces was established (see [21]).