The assumption indicates that there exists a sequence of inclusions of the manifold and its singular structures, called a weak-Lyapunov filtration.
However, our findings are independent of these assumptions indicating that the proposed mechanism is robust and works for a large range of parameter values provided that both ori and ter have fixed positions.
Calculations of lattice misfit based on various assumptions indicate that the formation of thin plates is less sensitive to small lattice distortion than initially believed, and also appears fairly insensitive to slight composition variations.
Both assumptions indicate that the number of susceptible animals in 2008 was very low (Table 2).
In addition these first two assumptions indicate that the patient is perceived as passive and accepting, whereas many complex interventions, especially in relation to people with long-term conditions, necessitate viewing the patient as an active participant in their own treatment strategy.
One of the panel members, Alice F. Rosenblatt, said she agreed that "Medicare costs will grow more than current assumptions indicate".
Deviations from the null assumption indicate a preferential order in the development of the alterations.
Initial results indicated prevalence well under the liberal prevalence estimate used in the sample size assumptions, indicating that fewer samples were needed to attain the necessary power for the study, but data collection continued to allow for coverage throughout both the rainy and dry seasons.
The estimates with our model assumptions indicated that the average ages at infection ranged from 59.0 67.3 days and that the basic reproduction number, R0, was in the order of 4.02 5.17.
Comparisons of predictions of this approach with the same models that make no use of the constrained-equilibrium assumption indicate that (a) the chain of reactions could be explicitly broken without compromising the fundamental elementary nature of the model, and (b) the use of the constrained-equilibrium assumption makes the model less sensitive to the missing pathways.
