Sentence examples for system of associated from inspiring English sources

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).

As a former opera singer and choirmaster, he knew the age-old system of associating syllables with notes -- Do, re, mi, fa, sol, la, and ti.

The model was used to extrapolate the surface tensions of aqueous electrolyte solutions and mixed electrolyte solutions, as well as systems of associating mixtures at different temperatures and concentrations, and was found to give good agreement with experimental data from the literature.

Priding himself on his intelligence and his literary sensitivity, he studied law; he honed his rhetorical skills; he entered dramatic competitions; he consulted astrologers; he mastered the complex, sinuous system of thought associated with the Persian cult known as Manichaeanism.

Larvae of monarch butterflies (Danaus plexippus) rely on a system of defense associated with their unique ability to feed on milkweed plants (Asclepias).

The early Christians had no system of colours associated with the seasons, nor do the Eastern churches to this day have any rules or traditions in this matter.

Second, the new method treats each component as a black-box as opposed to amalgamated-type methods which requires explicit knowledge of the system of equations associated with each component in order to reach the minimum number of adjoint evaluations.