Sentence examples for established a characterization from inspiring English sources

He established a characterization of uniform stability and uniform exponential stability in terms of the transition matrix for system (1.12).

In a recent paper, Lagarias, Reeds and Wang established a characterization of spectra and tilings that can be used to prove a conjecture of Jorgensen and Pedersen by Keller's criterion.

We need the following lemmas to establish a characterization of the exponential stability of C P ( 0 ).

The following two useful results, which established an equivalent characterization of dispersive order and the right spread order in one parameter family, will be needed to prove our main results.

By testing a large number of ligands, they were able to establish a verbal characterization of preferred I7 ligands in terms of functional groups and carbon chain length and rigidity.

The coupled process simulation approach was able to establish a quantitative characterization of the principal flow, transport, and reaction processes based on the 2002 field experiment, that could be applied without modification to describe the 2003 field experiment.

Accordingly, the objectives of this study are to establish a baseline characterization of cardiac strains throughout the cardiac cycle, to quantify temporal, regional, and transmural variations of active fiber contraction, and to identify pathways of mechanical activation in the healthy beating heart.

The search for genetic markers associated with CV disease in RA may be important to establishing a better characterization of RA patients at risk of CV disease.

Together, these studies must be considered as preliminary and others should be analyzed to establish a robust characterization of the gene expression differences between sporadic and radiation-induced PTC (rPTC).

We have used already existing national health register data to establish a comprehensive characterization of the central epidemiological features of diabetes in Denmark, with all advantages and limitations attached to this approach.

Innocent of Beano's less-than-charmed characterizations, Liana had already established a routine.