The phrase "analysis of the regularity" is correct and usable in written English.
It can be used in contexts where you are examining or studying the consistency or patterns of a particular phenomenon or data set.
Example: "The analysis of the regularity in the data revealed significant trends that could inform future research."
Alternatives: "examination of the consistency" or "study of the pattern".
Based on careful analysis of the regularity of surface subsidence in mined-out area, we proposed a new time function based on Harris curve model in consideration of the shortage of current surface subsidence time functions.
This section is devoted to an analysis of the regularity of refinable functions (phi^{m,l,alpha}_{0}) with the mask (tau^{m,l,alpha}_{0} omega)) defined by (2).
In this section we will turn to the analysis of a lot i and in particular to the analysis of the regularity properties of function ( {T}_ileft({overline{mathbf{t}}}_{I-i}right)= inf left{kern0.5em tle {t}_{max }:;{widehat{Q}}_ileft tleft|;{overline{mathbf{t}}}_{I-i}right.right ge {k}_iright} ) in order to derive those of function T I. Lot i has potentially neighbouring lots j < i and/or k > i.
It is worthwhile pointing out that, without consideration of the dividend policy, Han et al. in [10] deduced that (partial _{x} ugeq0), which plays an important role in the analysis of the regularities of the free boundary.
Based on the performed analysis of the regularities of the Ag nanostructures growth via the Volmer Weber mechanism and the SERS-signal intensity dependence on the Ag immersion time, we have proposed a universal parameter crucial for the choice of the optimal formation conditions of SERS-active substrates.
Based on the analysis of the regularities of the Ag nanostructures growth and corresponding kinetics of SERS-signal intensity change, we revealed a parameter crucial for the formation of the SERS-active substrates, which can be defined as a product of the Ag salt concentration by the immersion deposition time.
The multi-level preconditioner is designed from an analysis of the gradient regularity loss.
In another interesting study, Vallverdu and colleagues examined heart rate and respiratory pattern complexity in 78 patients during weaning trials using information flow analysis, which describes the regularity of signals by estimating the auto- and mutual information functions.
Using qualitative analysis we prove theorems on which we base a new method of regularity analysis of the firing map, that, contrasting with methods previously reported in the literature, does not requires analytic knowledge of the solutions of the differential equation and therefore it is also applicable to non-linear integrate and fire systems.
The analysis of regularity in daily medication dosage was described previously (Bauer et al. 2013b) and is summarized here.
The model provides a quick analysis revealing the regularities of water demand that could benefit water utility managers and researchers: to obtain optimal regulation and pumping schemes; for planning and design purposes; to control unexpected scenarios that can take place during the distribution of water; the performance of water distribution systems; and to locate possible network failures.
