Sentence examples for the previous analytic from inspiring English sources

Overall, it is shown, in particular, that the application of Lie group analysis allows one to extend the previous analytic results for the first order reactions to nth order ones.

In this section, by using numeral simulation, we give the bifurcation diagrams, phase portraits and Lyapunov exponents of system (3) to confirm the previous analytic results and show some new interesting complex dynamical behaviors existing in system (3).

The multivariate analysis repeated most of the results from the previous analytic steps, including differences in some of the basic descriptive characteristis, but also extending across dimensions of the quality of life (Table 4).

There are actually several models that can combine the various kind of the previous analytics classes such as descriptive, diagnostic, predictive, and prescriptive models.

While the three previous analytic approaches considered measured confounders that might have influenced colonoscopy use, they could not account for any unmeasured factors.

Previous analytic methods generally have analytical selectivities of 102 103, with the exception of BEAMing and MutEx/ACB-PCR for a limited subset of restriction sites [3], [4].

This interesting finding demonstrates that previous analytic expressions of the optimal subwork zone length cannot hold for AHT data.

As such, this study represents a significant advance over previous analytic approaches to time-series data in the study of the stress process.

The Poznań group regards idealization as the secret to modern science and finds it remarkable that virtually all previous analytic philosophy of science remains Aristotelian in treating proposed laws and theories not as ideal models but as true or false statements directly about the real world (Nowak 1980 and later writings; see also Krajewsky 1977).

The comprehensive nature of WGS and WES-based technologies means that most previous analytic performance studies have been independent of any particular disease or clinical scenario.

Different from previous analytic results, our series solutions are convergent and valid for all physical variables in the whole domain of flows.