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In order to conserve velocity distribution functions and to avoid calculations of average velocities, particles are not coalesced.
Because of short sequence of statistical data and different dimensions of evaluation indexes, the original data should be normalized before quantitative screening to avoid calculation error resulted from different dimensions (Heffer et al. 1995).
Clearly, it will allow us to avoid calculation of x ̂ Q = ĝ ( z ̂ 1 M ) in an iterative loop (for the details, see steps 2 to 6 in the algorithm that appears in Section 3.1), enabling fast operation.
To make the method proposed in this paper suitable for reservoirs with strong-contrast interfaces and long-offset ranges and avoid calculation errors brought by the approximate Zoeppritz equation, we choose the exact Zoeppritz equation to do the inversion.
We also require 2 additional rules to avoid calculation difficulties.
For NSW LGA data, the population size required to completely avoid calculation failures was around 7000 8000.
This method was proposed by Khan and Wu to avoid calculation of Adomian polynomial and the use of correction function of the variational iteration method; the reference of this work is in [ 11].
The inequality in Equation (15) avoids calculations with k-mer sizes that are so large they produce erroneous and artificial differences between genomes that ultimately correlate with genome lengths rather than genome content as described in Akhter et al. (2013).
It is shown that the proposed approach achieves faster computations than traditional hybrid methods due to (i) the compact FD equivalent representation of the linear part of the network and (ii) the Gauss Seidel iterative scheme that avoids calculation and inversions of Jacobians.
This enhances the applicability of the proposed method and reduces the computation error by including the effect of the reoccurrence period of wind and avoiding calculation of the peak factor of response.
In contrast, the LP-based approach to the sparse linear regression problem avoids calculation of a covariance matrix and does not require prior knowledge.
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