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As a corollary, we obtain the computation of K*(C*(G)).
Therefore, a numerical procedure is used to obtain the computation for the availability of the process, which is discussed next.
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For each bandwidth-snapshot pair, 500 Monte-Carlo trials are carried out to obtain the average computation time of those four methods, and the results are given in Table1.
In this appendix we show how to obtain the required moment computation for (hat{c}^{2}).
Figure 8 shows the results of a comparison between the vertical 2D trajectory of the driftage obtained by the computation and that obtained in the experiment.
Experimental apparatus used in Case 2. Figure 11 shows the results of a comparison between the vertical 2D trajectory of the driftage obtained by the computation and that obtained in the experiment.
To obtain the best balance between computation time and accuracy, a grid independence study was carried out for both S809 and NACA 0018 profiles.
By computation, obtain the similar matrix S ∈ R n × n and then sparse it; Construct diagonal matrix D; Compute the standard Laplace matrix L; Compute k minimum eigenvectors of matrix L, and compose matrix Z ∈ R n × k which contains k minimum eigenvectors and are regarded as the columns of the matrix Z; Standardize it as Y ∈ R n × k.
Cloud computing potentially offers an efficient and economical means to obtain the power and scale of computation required to facilitate large-scale efforts in translational data integration and analysis.
end{aligned} end{aligned} By a direct computation, we obtain the following results.
After compiling the data set, we standardized the data using Z-scores; in the final computation to obtain the rankings, the data are then weighted so that they constitute a 5% importance in determining the final 2010 Forbes ranking.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com