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In addition, the gas slip velocity in non-Newtonian power law fluids is rigorously determined by the proposed calculation procedure using an iteration approach.
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During each iteration, a candidate nominal flux polyhedron is extruded using an iteration dependent scalar.
Since analytic solutions were not possible, we used an iterative approach based on successive approximation (see e.g. [ 28]) to solve this system in each iteration of our MCMC approach.
A sensible solution is to find the subpixel shifts that minimize the Euclidean error to the projection of each pattern onto the first eigenvector of the set, which is recomputed at each iteration (using a hierarchical iterative approach using cubic splines, as before).
The explicit exact characteristic equation for eigenvalues is derived, which does not use the iteration approach.
Abu-Khalaf et al. (2008) have used policy iteration approach together with neural networks.
For each organization level (between species and between MLLs and MLGs within species) the probability (P) that the observed number of monocultures at a given sampling level (ant mounds, soil samples and aphid chambers) could have resulted from a random distribution of aphids was estimated using a bootstrap approach with 1000 iterations.
Steady-state solutions are obtained using a Newton Krylov approach where the linear system at each iteration is solved using a restarted GMRES algorithm.
To obtain information on genetic structure within and among all four populations, genetic differentiation was calculated by using a Bayesian approach as implemented in HICKORY [ 70], using 20,000 burn-in iterations and 100,000 final iterations.
After each iteration, we merged the resulting merged contig sets using a similar approach until only one contig set remained.
All of the new candidate items were reviewed internally and sent by email for external review by PROMIS investigators using a modified Delphi approach over several iterations until no additional modifications were suggested.
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