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It should be pointed out that the above results have been obtained by assuming the approximations listed in Sect.
Assume the approximation (6) is admissible.
The figure assumes the approximation t s max ≪ λ - 1 and, thus, is the solution to (17).
In the monomorphic limit, the time evolution of p is given by Equation 1, and the stationary distribution p M is given by Equation 2. We assume the approximations of Equations 11 and 12 and show that we can approximate p M by p o, where p o is given by Equation 19.
These are the reasons that the channel frequency matrix for the conventional MMSE-FDE method is generated by using the approximated banded matrix and for the OLA-MMSE and FAST-MMSE methods are generated assuming the linear approximation of CIR in the time-varying fading channels.
The proportion of patients in each group who reported adherence was compared using the Fisher's exact test with confidence intervals calculated assuming the normal approximation to the binomial.
Consider the self-exchange weak-overlap ET reactions 6.1and the cross-reaction 6.2By assuming the following approximation for the reorganization energy associated with the cross-reaction: 6.3the rate constants k nn (n = 1, 2) and k12 for eqs 6.1 and 6.2 are related by 6.4where 6.5is the equilibrium constant for the ET cross-reaction.
Assuming the Gaussian beam approximation to be valid, Eq. (2) can be rewritten as: N.A.sim ncdot lambda /left(pi cdot {omega}_0right) (3)with λ being the wavelength of the laser.
If we assign to every node a part of the domain for which we assume the local approximation to be valid, such that the whole domain is covered, this results in a global approximation.
Assuming that the approximation of the I-BER in (5) and the constellation specific constants in[4] are used, the following rule can be derived.
The model assumes the Boussinesq approximation and the rheology is strongly temperature- and pressure-dependent: eta left({T,p} right) = {eta_{A}} cdot text{exp}left[ {frac{{{E_{text{act}}} + p{V_{text{act}}}}}{RT}} right] (7).
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