Since the Pignatelli et al. (2009) hydrodynamic equations are built around the c-axis value, this approximation induce an evident overestimation of the minimum wave height able to detach and scatter inland the boulders.
The concept of a cylindrical approximation has to be reshaped in our new situation into some geometric limit theorems, establishing that the Riemannian geometric objects of the cylindrical approximations induce by a limiting procedure geometric objects on the path space.
Using the estimate (3.37), we obtain the l2 upper bound for the approximation error induced by the simple shrinkage procedure4.
The approximations are induced using hierarchical modeling.
In order to obtain the better approximation of rain induced attenuation, the suitable method is proposed for earth space link whose efficiency have been compared with prominent rain attenuation models.
We further show very tight approximations for SEP, induced from the numerical results given in Section 4, which help to assess asymptotic behavior of SEP in the high regime.
Comparing these to the mean of bootstrapped ^βx,j derived using fixed exposure model parameters (i.e., λ⊇= 0) gives us an approximation of the bias induced by the classical-like error (step 3), and the empirical SD approximates the SE that accounts for both sources of measurement error (step 4).
It is clear that the highest is σ, the highest is the error induced by approximations.
More precisely, we are concerned with the existence of convergent trajectories of nonstationary dynamical systems induced by approximations of a given set-valued mapping.
In both cases, decision rules are induced from approximations of decision classes.
