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Latitudinal profiles were obtained employing a system of associated Legendre polynomials.
At these fixed altitudes Ti was represented by a system of associated Legendre polynomials (up to the 6th order) in terms of magnetic local time and latitude coordinates.
The first order variations at four fixed altitude ranges were represented by a system of associated Legendre polynomials (up to the 6th order) in terms of magnetic local time and latitude coordinates.
Variations at five fixed altitude ranges centered at 350, 550, 850, 1400, and 2000 km and three seasons (summer, winter, and equinox) were represented by a system of associated Legendre polynomials (up to the 8th order) in terms of magnetic local time and the earlier introduced invdip latitude.
For each individual data group (height range and season) a system of associated Legendre polynomials up to the 8th order was employed as an expansion function (2 where = associated Legendre function θ = invdip colatitude (0 … π) φ = magnetic local time (0 … 2π).
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Larvae of monarch butterflies (Danaus plexippus) rely on a system of defense associated with their unique ability to feed on milkweed plants (Asclepias).
Further disadvantages are also the unavailability of a system to associate kinetic models with experimental data and the lack of the kinetic model development history.
Continuing along the axis of using modern algorithms, Liu, Pang and Wang explore in their paper "Epileptic seizure prediction by a system of particle filter associated with a neural network" using statistical bayesian filters to analyze EEG data.
Given a system of reactions and associated kinetics and assuming only the processes of reaction and mixing, one may derive, for variables which obey linear mixing laws, geometrically based constructive necessary conditions.
In the Highlands there are indications of a system of Gaelic education associated with the professions of poetry and medicine, with ferleyn, who may have taught theology and arts, and rex scholarum of lesser status, but evidence of formal schooling is largely only preserved in place names.
He then sent the data to Metzger, who after identifying a system of absorption lines associated with magnesium and iron determined a redshift of z = 0.8349 ± 0.0002, indicating that light from the burst had been absorbed by matter roughly 6 billion light-years from Earth.
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