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The probability of detection can then be obtained numerically using this threshold.
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The solution of the problem in the physical domain is obtained numerically using a numerical method for the inversion of the Laplace transform based on Fourier expansion techniques.
The alternative models were performed for different orders of the derivative and the classical cases are obtained numerically using the Euler numerical method.
Then small steady-state vibrations about the equilibrium configuration are obtained numerically using a shooting method.
(1) and (2) were obtained numerically using the standard Fresnel equations and assuming the unperturbed metal dielectric constant to base changes upon is given by the empirically determined Johnson-Christy data26.
Frequency responses of these periodic structures are obtained numerically using 1D and 2D finite element models.
The results are obtained numerically using the quantum-mechanical Kubo Greenwood formalism.
Then, the probability of detection was obtained numerically using these thresholds.
Therefore, the results in Figures 4 and 5 are obtained numerically, using (17) and (13).
The results are obtained numerically using the Monte Carlo simulation of the percolation threshold of the different ternary composites.
Derivative spectra were obtained numerically using the program LabCalc.
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