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Solving (Eq. 7) numerically using ode45 and comparing it to the numeric computations of Eq. (2) for a single mass m is displayed in Fig. 6 which shows relatively strong agreement.
MATLAB is a widely used interactive software package for scientific and engineering numeric computations.
Finally, numeric computations are conducted for verifying the effectiveness of the proposed algorithm.
Data pre-processing undertaken in this research work also included data normalization, which is a process of scaling the input factors in a data set so as to improve the accuracy of the subsequent numeric computations.
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The model equations were programmed and solved on a standard personal computer using the numeric computation software Matlab 7.5.0.342 (R2007b) and the integrated Simulink toolbox v7.0 (The MathWorks, Natick, MA).
General-purpose graphics processing units (GPGPU) programming has been successfully used in scientific computing domains, which involve a high level of numeric computation.
A numeric computation shows that (Delta ( x ) >0) for (0< x<2/5) and (x>3/2), and so inequality (4.6) is better than (4.7).
In the present study, we used functional magnetic resonance imaging to explore which brain areas contribute uniquely to numeric computation.
The formulation and analysis described in the preceding sections has been implemented, because it can seamlessly combine symbolic and numeric computation.
Fuzzy cognitive agents are able to represent knowledge via extended fuzzy cognitive maps, to learn users' preferences from most recent cases and to help customers make inferences and decisions through numeric computation instead of symbolic and logic deduction.
where α is a constant coefficient depending on the degrees of freedom, which can be calculated offline by numeric computation since the intersections for PDFs of χ n 2 and χ n,γ22 almost lie on a line if the non-central parameters are not very large, as shown in Figure 2 which indicates the PDF for central and non-central χ2 of 8 degrees of freedom.
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