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The simulations based on the real study illustrate that the bias approximations work well in practice.
Also, we observe that the high SNR approximations work well even at moderate high SNR regime, and the diversity order of the system is determined by the minimum of m1 and m2. Figure 1 Outage probability of interference-limited dual-hop AF systems in Nakagami - m fading channels when ρ 1 = ρ 2 : exact versus high SNR approximation.
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Although such approximations worked well even with limited number of patients [ 11], it does not take into account BLD data and hence could underestimate the standard error when a large proportion of data are BLD.
It is found that the LPW approximation works well only for mode propagation parallel or nearly parallel to the direction of flow.
Since this project deals with waypoints that are no more than a couple kilometers apart, and there are very few, if any, people running near the poles, the equirectangular projection approximation works well.
Comparing to the Gaussian BER approximation results of[13], we observe that the Gaussian approximation works well, especially for small constellation sizes.
Comparisons with measured extinction coefficients reveal that the approximation works well with water-based nanofluids containing graphite nanoparticles but less well with metallic nanoparticles and/or oil-based fluids.
As a conclusion, we can safely assume that our approximation works well in a regime for strong input drives Ω / γ > 5 and low nonlinearities U / γ < 0.2 for arbitrary values of the tunneling rate.
The point density of each cluster can be estimated by dividing the number of points in the clusters by the area of the bounding box of the cluster; this approximation works well in practice, but if more precision was needed, it could be achieved by computing the convex hull of the cluster and dividing the number of points by its area.
The (Lambda _{d}^) approximation works well when the Coriolis force dominates; in contrast, the largest discrepancy occurs when R o c >1. Geodynamo simulations from Dormy (2014) provide a (Lambda _{d}^) test for cases with Λ d >1 and R o c <1 at an Ekman number of E=1.5×10−4 and a Prandtl number of unity.
Their weak scattering approximation works well only when the electron density fluctuations are not very high, about few tens of percent, and cannot represent cases of very high scintillation activity, which are responsible for loss of signal lock and consequent degradation of GPS positioning and navigation operations (Forte and Radicella, [2004]).
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Justyna Jupowicz-Kozak
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