Freidlin and Wentzell deduced a large-deviation principle for this model, and this result was considerably refined in 2004 by Bovier et. al. In this presentation, we discuss a further refinement of this result via a new technology based on the analysis of suitable Poisson equations.
These early calculations were considerably refined in the eighteenth century by the Bernoullis, Montmort, De Moivre, Laplace, Bayes, and others (Daston 1988; Hacking 2006; Hald 2003).
As we have seen, however, in recent times the thermoanalytical data obtainable by processing the "raw" curves have been considerably refined and have now become much more reliable thanks to the new mathematical processing kinetic methods introduced and the new software used in modern thermoanalytical apparatus.
The differences we report suggest that models of disease dynamics may be considerably refined by using empirically determined resistance parameters.
Additional host species may be involved; considering the small sample for the current study, seropositivity rates and distributions, although consistent with expectations, may be considerably refined with increased sampling (Table 1).
The simplicity of the process means the product is considerably cheaper than refined carrageenan.
Lastly, the electron density for the metal ions in the structure refined to an occupancy of only ∼60%, which is considerably lower than that of any fatty acid-containing cADO structure.
It is obvious that our method is considerably robust and convergentwith second-order in space as the grid is refined.
Austin's theory of speech acts was considerably extended and refined by his American student John Searle (born 1932) and others.
"Diesel is considerably cheaper".
Pennsylvania is considerably less elastic.
