Sentence examples for regularity of the process from inspiring English sources

"At a minimum these circumstances, confirmed by Depperschmidt in testimony, speak to the integrity and regularity of the process by which petitioner sought to track and account for his days within and without New York City," the tribunal noted.

The generated optimal bandwidth depends on the regularity of the process, the number of replications, and the number of levels of quantization.

For classical solutions of PPDEs, we need further regularity of the processes.

The exponent a is closely related with the L2-regularity of the process.

The regularities of the process were defined depending on the structure of the monomers, concentration of the monomers and acid additives, and the nature of anions and cations in the system.

Condition (P1) guarantees the regularity of the shrinkage process, and the role of condition (P3) is to avoid over smoothing of the estimate (noise mainly affects small wavelet coefficients).

Regularities of the hydrolysis process without and in the presence of the support are studied by various physicochemical methods.

In establishing these trends, we also discover great statistical regularity in the process of gene loss across the eukaryotes and especially among the independent descendants of a single WGD.

While the above model, designed for a single pair of probe sets competing for the same transcript, is instructive to study general regularities in the process of cross-hybridization, it is obviously of limited utility in studying probable causes of the observed long-range correlation that extends over thousands of genes.

Key methodology findings are regularities about the process of urban dynamics, focused on the change of urban boundaries in the urban system contact area.

By elementary inequalities, we show that ℓ T exists in L2 if and only if Hd < 2 and it is smooth in the sense of the Meyer-Watanabe if and only if H < 2 d + 2. As a related problem, we give also the regularity of the intersection local time process.