Simplistically, GRP addresses the repair assumption by introducing the concept of virtual age into the stochastic point processes to enable them to represent the full spectrum of repair assumptions.
We benchmarked the solutions generated by using the permeability models with three common assumptions against our "accurate" solutions by using permeability models without these assumptions for the full spectrum of boundary conditions, and concluded that these common assumptions could produce unacceptable errors.
The sensitivity analyses performed include a wide range of assumptions and two ends of the spectrum of health system costs for treatment with metformin, Medicare- and VA-based.
It follows from Theorem 4.3 that for sufficiently large ν the operator A ν = v ( Q ( D ) + ν ) v ≥ 0. Thus we have to check that adding the operator ν v 2 does not change the essential spectrum of A. In addition to the assumptions of Theorem 4.3 suppose that v → 0 as | ξ | → ∞.
In order to verify our assumption, the magnetic spectrum of single-stripe patterned film was calculated as well.
The input random excitation is assumed to be stationary and ergodic so that with the linearity assumption, the output spectrum of the response is obtained by using the frequency response function.
The experimentally found effective rate constants could be related to the rate constant for the reaction of the dissolved donor with photo-oxidized Eosin Y bound to ZnO and the absorption spectrum of the dye and confirmed the assumption made in the derivation of the model.
Under the assumption that the spectrum of an individual fluorophore is linearly summated on each image pixel, SU extracts the weight (or contribution) of each individual spectrum, with that weight proportional to the fluorophore concentration [14].
The complex environment of the remnant renders modeling of its broadband spectrum sensitive to assumptions concerning the nature and parameters of the circumremnant medium.
Nevertheless we describe completely the essential spectrum of differential operators (1.3) under rather general assumptions on the function v.
