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Hence, to assess the approximation error, we simulated the intercell interference power, as given in (16) for two cases: all users are served with random precoding vectors (PC rand) and the simplified version, in which all users are served with one specific, constant precoding vector (PC 1).
To assess the approximation errors, we have computed empirical MSEs for the approximation of the posterior mean, (E[hat X_{t} | Y_{1 t}] ~=~ (I,pi _{t})), where I x) = x is the identity function, for the two algorithms at the last update step, t = 200.
We recommend that more qualitative checks, described below, be performed in order to assess the approximation quality.
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PMF results from the solute-solute RISM approach are compared with explicit-solvent free energy perturbation molecular dynamics simulations in order to assess the approximations inherent to the theory for simple model systems.
We now assess the approximations of ergodic rate for the weak interference condition in Figs. 4 and 5. Considering the D2D communication occurring at the edge of the cell, in Fig. 4, we set d b1=d b2=10 and d cr =8 for the symmetric case while d 1r =0.4, d 2r =0.6, and d b1=d b2=d cr =14 are set for the asymmetric case.
The effectiveness of the stabilization procedure is illustrated along with "patch test" examples to assess the consistency of the approximation.
This helped us to assess the plausibility of the approximation based on the degree of support by the available data.
As a conclusion to the study presented in this section, we assess that the approximation of Equation 29 is valid in the experimental conditions of this article.
A series of numerical tests based on the Riemann problem assesses the characteristic approximation of the flow resulting from two-dimensional processes at the step.
An interpolation error estimate is given to assess the convergence rate of the approximation.
We assess the quality of this approximation and discuss instances in which one can reliably use the approximated simplified circular potential instead of the computationally unyielding exact one.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com