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It is clear that the minimum of this function is obtained if the diagonal elements of become its eigenvalues [8].
This function is obtained by matching the design point of the nonlinear response with that of the linearized response, thus guaranteeing the equivalence of the tail probability of the latter and the first-order approximation of the tail probability of the nonlinear response.
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The weights of this function are obtained by maximizing the ratio of between groups variability to within groups variability, which is often called Fisher's criterion.
The particular shape of this function was obtained from a fit of the long-living tail of the trap state distribution vs lifetime, presented in Figure S11.
Since the decoder often does not know beforehand the encoded streams, this scalable function is obtained postmanufacturing and is unique to each codec system.
The coefficients of the function were obtained using regression analysis.
A discrete random variable Y w) is associated with each word w of seed length k, corresponding to the SMD between w and a randomly selected background sequence from B. This w-specific distribution function is obtained empirically from B; for each word w, we set g w (y)=Pr[ Y (w)= y]=|{ B i : d w, B i )= y}|/ m, for y=0, …, k.
In this way, the element associated with the lowest value of the objective function is obtained, and this represents the best delay.
In this paper, a completely novel window function is obtained by mutual-multiplication of existing windows.
In this study, such an adaptive penalty function is obtained by expressing the smoothness parameter as another spline function (Baladandayuthapani et al.
Thus, the decision function is obtained.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com