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The results obtained in this paper show good agreement with the corresponding numerical solution (considered to be exact) for both small and large amplitudes of oscillation.
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The main advantage of the present method is that its simplicity and the second-order approximate solutions almost coincide with the corresponding numerical solutions (considered to be exact).
Only those solutions considered to be "very important" or "extremely important" by the Expert Panel (i.e., with a mean rating of 4.00 or higher) were retained.
Means and standard deviations were calculated for all ratings made across Rounds 3 and 4. To produce a set of solutions to non-adherence that reflected the priorities of the Panel, only those solutions considered to be "very important" or "extremely important", i.e., those with an importance rating of 4.00 or higher, were taken forward to the consensus meeting.
Each solution is considered to be a non-inferior solution and the entire set of non-inferior solutions is referred to as the Pareto optima.
Hence, Viète's solution is considered to be a plausible reconstruction of Apollonius' solution, although other reconstructions have been published independently by three different authors.
After discussing this preliminary solution with different staff from SUMMA, a final solution was considered to be the eventual one.
Assessing formal statistical criteria, and the parsimoniousness and usefulness of the models, the four-class solution was considered to be optimal; subgroup trajectories for this solution are presented for parent and teacher ratings.
Thus, the four factor solution was considered to be less sound, theoretically and statistically, relative to the five factor solution.
"Newmarket remains open to moving the Darley July Cup as long as the solution is considered to be in the best interests of British racing," Starkey said.
The pH of the solution is considered to be one of the most important factors affecting the biosorption process.
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CEO of Professional Science Editing for Scientists @ prosciediting.com