Sentence examples for formal analysis based from inspiring English sources

A formal analysis based on Lyapunov stability is developed to describe the control system performances.

A formal analysis based on Lyapunov stability is carried out to exhibit the control system performances.

A formal analysis based on Lyapunov stability and average theory is developed to describe the control system performances.

Formal analysis based on the mean weighted retention times of all detected compounds confirmed that the QLE of field colonies had significantly longer hydrocarbons on their surface than field-produced WLE or either of the egg types in lab colonies (Figure 2B; ANOVA, F3,54 = 9.08, p<0.0001).

Then, we use formal error analysis based on the theorem proving to verify an implementation of the frequency domain equalizer based on the Fast LMS algorithm.

In the present work, a formal asymptotic analysis, based on the realistic smallness of the gas-to-liquid density ratio, is developed to investigate the combined effects of gravity and other parameters on the hydrodynamic instability of the propagating liquid/gas interface.

A formal sensitivity analysis based on design of experiments shows that on critical interfacial stresses, interphase to film thickness ratio and film to substrate Young's moduli ratio has the most impact, while type of elastic moduli variation in the interphase and indentor width to film thickness ratio has the least impact.

Hence, the study is designed as a pilot study, and does not include a formal power analysis based on clinically relevant effect sizes.

Some examples of such statements illustrate the point: A "formal causation analysis based on an application of the Hill criteria confirms that there is no causal relationship between diesel exhaust and multiple myeloma" (Wong 2003).

A formal statistical analysis based on defined characters of the glands confirmed that while all members of the derived tribe Philanthini have large and complex PPGs, species of the two more basal tribes, Cercerini and Aphilanthopsini, possess simple and comparatively small glands.

Formal cost-effectiveness analysis based on these results demonstrated that the probability that EES was an economically attractive strategy (incremental cost-effectiveness ratio <$50,000/quality-adjusted life year gained) was 85.7%.