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This plot is made by numerically evaluating the first derivative of (log n(p)) with respect to (log p).
This is done by numerically evaluating the mean absolute error (MAE) between the normalized transmission experimental data and the simulated data, and seeking for the values that minimize this difference.
We checked that a local maximum had been reached by numerically evaluating the Hessian of the minus log-likelihood at the critical point and confirmed that its eigenvalues were positive.
We improve slightly on Chamberlin and Raup's original calculation [ 48] by numerically evaluating the necessary integrals rather than using the analytical approximations of [ 49] (see Methods), yielding corrections of about 10%.
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Next, we investigated the effect of nonlinearity on the channel estimator with both the TDM and FDM pilots by numerically evaluating its MSE.
The signal was calculated by numerically evaluating Eq. (2) with a frequency-dependent refractive index as described in [18].
For comparison, the results for the exact ergodic sum capacity are also shown, which were obtained by numerically evaluating (13) using a constrained optimization.
This is confirmed by numerically evaluating P SINR < 20 dB) for our proposed system and 2D OFDM-CDMA system, which are 0.6479 and 0.5468 respectively.
Once the survival distribution is specified, the expected information at any time (I(x*; t) = 1/σ(x*; t)) can be easily obtained by numerically evaluating equation 1.
With the flutter derivatives obtained from the wind tunnel experiments of various modified bridge cross-section profiles by traffic, the present study is to numerically evaluate the impact on the wind-induced performance of the long-span bridge, such as the aeroelastic performance, buffeting response and potential fatigue accumulation.
Here, we adopt LMIs to numerically evaluate the H 2 norm based on the next lemma.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com