Most importantly, the composition of both stimulated and unstimulated saliva may be altered by genetic predisposition factors and physiological, pathological and environmental factors [14, 15, 17, 18], all these factors may hinder the correct derivation of results for best care outcomes.
Both derivations result in the same approximate expression for the modal radiation damping in the first mode, ζr1≈2/ πI), which is in turn identical to the approximate equation obtained by Roesset and Whitman [11] using a frequency domain approach.
We can show that such a stable equilibrium is invasible by a mutant with competitive ability closer to z* and resistant to invasion by mutants with competitive ability further from z* (in Additional file 3 we show the derivation of this result for the full-sib model).
The nodes that are transmitting and receiving in each instant are exemplified in Table 1 where A → B represents the transmission from node A to node B. Preliminary derivations and results for two relays, each equipped with one or two antennas, were presented in [19].
For all formulations containing an equal ratio of azide to cyclooctyne functionality, we estimate the degree of network ideality (i.e., extent of cross-linking versus cyclization) to be >90% (derivations and results for all formulations are given in the see the Supporting Information, Table S1).
□ The following density and feasibility results are utilised in the derivation of our convergence result for full discretisations of nonlinear evolutionary inequalities by stiffly accurate Runge Kutta and hp-finite element methods.
However, as in the present work our focus is on the derivation of a convergence result for stiffly implicit Runge Kutta methods applied to evolutionary inequalities, but not on their rate of convergence, we do not further exploit this point.
He intentionally restricted the discussion of the general theory and devoted most of the book to the derivation of specific results for the general linear, the special linear, the orthogonal and the symplectic groups.
In his 2011 article, Huemer even questions the Content Determination Thesis, which plays a pivotal role in the derivation of the results, for reasons that we have to leave aside here.
All this has been confirmed in Ruiz del Portal (2007a) for the problem of optimum income taxation, thus supporting the idea that derivation of similar results for other principal-agent problems is fairly routine when P q), q and θ are just scalars.
