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By utilizing the equivalence theorem and Descartes's rule of signs, we construct D-optimal designs for a weighted polynomial regression model of degree k, with specific weight function w(x)=1/(a2−x2)δ, on the compact interval [−1,1].
This is expected since a global spherical harmonic model of degree 9 is not able to describe the spatial scales of the magnetic signature of the auroral electrojets.
The selenoid is determined by the gravity model of degree 660 in the spherical harmonics obtained by the Gravity Recovery and Interior Laboratory (GRAIL) (Lemonie et al. 2013).
The D, H and Z field annual main field data of 2005 2014 described above were used as input data to derive a polynomial main geomagnetic field model of degree 3 for southern Africa at each year.
The equation for SD was a FP model of degree 1, power 1 (linear), compared to the SD obtained by Verburg which was a constant.
The processing that resulted in the first degree and order 900 model, called GRGM900A, was based on a starting model of degree and order 720.
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A ground based imaging polarization detector for astronomical observation is designed, the working principle is analyzed and the mathematical models of degree of polarization and detection ability of the detector are derived.
From these results we retained N = 2400 in most of the computations of the present paper, for models of degree 16.
We used polynomial models of degree 4 for modeling the temporal expression profiles that are better suited to describe short patterns [32].
Statistical models of degree distributions can be sensitive to a few observations of high-degree proteins in the tail of a distribution.
Subsequent analysis of the primary mission data resulted in models of degree and order 660 [ Konopliv et al., 2013; Lemoine et al., 2013].
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