Sentence examples for scaling approximations from inspiring English sources

The ability of the probabilistic and allometric niche models to correctly represent a much larger fraction of links than the ADBM suggests that the various assumptions and scaling approximations used to determine foraging parameters in the ADBM are not optimal.

The method is compared with two relevant proposals intended to improve the convergence of the Neumann series, namely the Padé series and the scaled approximation methods.

Comparison with line-by-line calculations shows that the FSCK model is exact for homogeneous media, and that its accuracy in inhomogeneous media is limited by the accuracy of the scaling approximation.

Second order mutliple-scales approximations, determined by using two different time co-ordinates, are compared.

When the deterministic equivalents are applied at finite M and K, they are referred to as large-scale approximations.

Furthermore, large-scale approximations of the uplink and downlink SINRs are derived for the proposed M-MMSE scheme.

In particular, fine scale approximations are designed to appropriately represent local behavior by using a localization angle.

Furthermore, large-scale approximations of the uplink and downlink signal-to-interference-and-noise ratios (SINRs) are derived, which are tight in the large-system limit.

Large-scale approximations of the uplink and downlink signal-to-interference-and-noise ratios (SINRs) for the proposed M-MMSE scheme are derived, which are asymptotically tight in the large-system limit.

To verify the accuracy of the large-scale approximations from Section 3, 10,000 independent Monte-Carlo channel realizations are generated to numerically calculate the joint achievable SE in (23).

Once we have these estimates, we may resort to the iterative refinement scheme described above, alternating between the steps of estimating camera positions and reconstructing successively finer scale approximations to the true images.