The developed method generates an ensemble of facies fields that honor the facies distribution as described by a probability field.
In particular, general relativity posits a determinate, non-conventional metric that is related in a determinate way to the mass-energy distribution, as described by Einstein's field equations.
This novel approach is underpinned by a shift in focus from the mere decentralization of the KF filter to its distribution as described in the following section.
Similar to discrete models, a common way to obtain the aggregate interference distribution when using continuous models is to approximate it by a known distribution, as described in Section 3.2.1.
By considering the shear stress distribution as described in Fig. 2, the contribution of the top compression chord on the shear force is calculated to 0.07 V by considering geometrical shape of shear stress distribution.
To gain insight into the observed behavior, the eigenmodes of the heptamer structure were obtained by solving the boundary integral eigenvalue equations for the charge distribution, as described in Section 2.4.
The RMSE figures are obtained based on the average of 500 burst transmissions of size 64×54 with the scattered pilot distribution as described in Section 5.1, on an ordinary quad-core PC running MATLAB 2016 b.
In this work we considered the TGSD for Plinian and Sub-Plinian eruptions of Macedonio et al. (2008), and converted the TGSD to settling velocity distribution, as described below.
These overlaps were found to be not statistically significant when comparing to the generated background distribution, as described above (p-values of 0.6 0.8).
Essentially, the greater the complexity of interacting processes underlying a data set, the more the first digits converge to a logarithmic distribution as described by Benford's law [30].
To find the distribution parameters that provide the best fit to GC-TRFLP data from actual and artificial communities, a SAD was simulated for a given distribution as described above and the parameters of the distribution were optimized by recursive iteration.
