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Spherical Harmonic

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Published by Tor Science Fiction .
Written in English

Subjects:

  • Science Fiction,
  • Science Fiction - General,
  • Fiction,
  • Fiction - Science Fiction,
  • Science Fiction - Series,
  • Fiction / Science Fiction / General

Book details:

Edition Notes

SeriesThe Saga of the Skolian Empire
The Physical Object
FormatMass Market Paperback
Number of Pages384
ID Numbers
Open LibraryOL9897174M
ISBN 100812568826
ISBN 109780812568820
OCLC/WorldCa50417822

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Feb 3, - Explore aminif's board "Spherical harmonics" on Pinterest. See more ideas about Spherical harmonics, Math books and Mathematics.9 pins. All of Asaro's considerable talent is on display in Spherical Harmonic, the direct sequel to The Radiant Seas. Separated for decades by circumstance and political machinations, the Ruby Dynasty, hereditary rulers of the Skolian Empire, struggle to bring together the tattered remnants of their family in the shadow of a disastrous interstellar war/5(29). All of Asaro's considerable talent is on display in Spherical Harmonic, the direct sequel to The Radiant Seas. Separated for decades by circumstance and political machinations, the Ruby Dynasty, hereditary rulers of the Skolian Empire, struggle to bring together the tattered remnants of their family in the shadow of a disastrous interstellar war. - that takes care of the "ortho-" part of "orthonormal"; the "-normal" portion is because the factors in front of the defining expression for spherical harmonics were set so that the integral of the square of a spherical harmonic over the sphere's surface is 1. $\endgroup$ – .

Spherical harmonics were first used for surface representation for radial or stellar surfaces r (θ, ϕ) (e.g., [53,62]), where the radial function, r (θ, ϕ), encodes the distance of surface points from a chosen ühler et al. [60,56] extended this spherical harmonics expansion technique to more general shapes by representing a surface using three spherical functions. A real valued function f of real variables is said to be Harmonic if it has continuous Partial derivatives of 1st & 2nd order & if it satisfies Laplace's equation then f is called Harmonic Function. Solution of Laplace eqn is called Harmonics. In. "Spherical Harmonic" is the seventh book in Catherine Asaro's somewhat non-linear Skolian Saga. Having dealt with many of the other major members of the Valdoria-Skolia-Selei family, Asaro now turns her attention to Dyhianna, the Ruby Pharoah and the woman that created the means by which the Skolian Imperialiate functions as it does: the those of you not familiar with Asaro's 5/5(5). Example Spherical Harmonic Expansion. Consider the problem of determining the electrostatic potential within a charge-free spherical region of radius r 0, with the potential on the spherical bounding surface specified as an arbitrary function V(r 0, θ, φ) of the angular coordinates θ and potential V(r, θ, φ) is the solution of the Laplace equation satisfying the boundary.

Spherical Harmonic: A Novel in the Saga of the Skolian Empire (Saga of the Skolian Empire series) by Catherine Asaro. Catherine Asaro is a popular SF writer, combining her diverse talents to blend hard science fiction and heartrending romance into a sweeping epic known as the Saga of the Skolian Empire.   SPHERICAL HARMONIC, the seventh Skolian tale is an engaging outer space novel that will excite fans of the series. The story line hops around the galaxy faster than the speed of light, but that is a two edged light saber as the action never stops, but the subplots do not fully mesh/5(8).   Spherical Harmonic (eBook): Asaro, Catherine: Catherine Asaro is a popular SF writer, combining her diverse talents to blend hard science fiction and heartrending romance into a sweeping epic known as the Saga of the Skolian Empire. This is her trademark series. Ever since Primary Inversion, her very first novel, this series has continued to grow, building a significant readership and. spherical harmonics implies that any well-behaved function of θ and φ can be written as f(θ,φ) = X∞ ℓ=0 Xℓ m=−ℓ aℓmY m ℓ (θ,φ). (12) for some choice of coefficients aℓm. For convenience, we list the spherical harmonics for ℓ = 0,1,2 and non-negative values of m. ℓ = 0, Y0 0 (θ,φ) = 1 √ 4π ℓ = 1, Y1.