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There is a page named "Ellipsoidal harmonic of the first kind" on Wikipedia
- Lamé function (redirect from Ellipsoidal harmonic of the first kind)function, or ellipsoidal harmonic function, is a solution of Lamé's equation, a second-order ordinary differential equation. It was introduced in the paper (Gabriel...9 KB (1,785 words) - 16:05, 27 January 2022
fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of orthogonal...75 KB (12,425 words) - 20:47, 16 July 2024
Spheroid (redirect from Ellipsoid of revolution)truncated spherical harmonic expansions of the Earth's gravity geopotential model). The equation of a tri-axial ellipsoid centred at the origin with semi-axes...14 KB (1,952 words) - 01:15, 9 July 2024
to the geoid (sometimes called "the vertical") and the perpendicular to the ellipsoid (sometimes called "the ellipsoidal normal") is defined as the deflection...24 KB (2,844 words) - 09:18, 17 July 2024
Oblate spheroidal coordinates (redirect from Oblate spheroidal harmonics)coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two largest semi-axes are equal in length. Oblate spheroidal...20 KB (3,467 words) - 00:28, 17 May 2024
spherical Hankel functions of the first kind are chosen). Scattered fields are written in terms of a vector harmonic expansion as E s = ∑ n = 1 ∞ E n (...57 KB (9,189 words) - 02:58, 8 July 2024
harmonics have been produced. Maps produced have included free-air gravity anomaly, Bouguer gravity anomaly, and crustal thickness. In some areas of Mars...53 KB (6,283 words) - 12:22, 30 April 2024
Toroidal coordinates (redirect from Toroidal harmonics)elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics, with applications to problems in mathematical physics Ginn & co...16 KB (2,912 words) - 01:48, 10 December 2023
can be formed as linear combinations of mℓ and −mℓ orbitals, and are often labeled using the associated harmonic polynomials (e.g., xy, x2 − y2) which...84 KB (10,932 words) - 21:38, 12 July 2024
Literally, "fundamentals of the theory of the potential function" (Maggi 1910, p. 321). "Attraction by an ellipsoid and ellipsoidal harmonics" Maggi (1910, p. 322)...41 KB (4,551 words) - 20:46, 10 June 2024
Ellipse (redirect from Circumference of an ellipse)major axis to produce an ellipsoidal mirror (specifically, a prolate spheroid), this property holds for all rays out of the source. Alternatively, a cylindrical...85 KB (15,840 words) - 11:52, 4 July 2024
was first demonstrated by James Clerk Maxwell. Examples of such quantities are: Probability density function of a ground state in a quantum harmonic oscillator...149 KB (22,391 words) - 21:16, 14 July 2024
Variable star (section Ellipsoidal variables)brighter areas of the surface are brought into view. Bright spots also occur at the magnetic poles of magnetic stars. Stars with ellipsoidal shapes may also...50 KB (6,469 words) - 01:43, 19 July 2024
Gamma function (redirect from Approximations of the gamma function)converges absolutely, and is known as the Euler integral of the second kind. (Euler's integral of the first kind is the beta function.) Using integration...89 KB (13,280 words) - 05:57, 10 July 2024
the same for every frequency, making for an ellipsoidal wavefront rather than spherical. Because of this, the Mantaray can only be arrayed satisfactorily...40 KB (4,442 words) - 23:58, 27 June 2024
Oresme ... was the first to prove the divergence of the harmonic series (c. 1350). His results were lost for several centuries, and the result was proved...138 KB (16,090 words) - 02:55, 7 July 2024
Bernoulli derived the fundamental frequency and harmonics of a hanging chain by solving a differential equation. In 1734, Bernoulli solved the differential...116 KB (14,157 words) - 20:33, 15 June 2024
Shing-Tung Yau (category Alumni of the Chinese University of Hong Kong)the same methods to simplify the proof of the Omori−Yau maximum principle.[CY75] Such estimates are widely quoted in the particular case of harmonic functions...116 KB (10,421 words) - 21:16, 18 July 2024
Principal component analysis (section First component)small, then the variance along that axis is also small. To find the axes of the ellipsoid, we must first center the values of each variable in the dataset...114 KB (14,283 words) - 16:49, 3 July 2024
extended in two ways to the multidimensional case, based on rectangular and ellipsoidal regions. The first way is to define the cdf F ( x ) {\displaystyle...65 KB (9,511 words) - 11:03, 12 July 2024
- Soc., 1881). The ellipsoidal harmonics were first investigated by Lamé in connection with the stationary motion of heat in an ellipsoidal body (see Liouville's
- published till 1887. In 1883 two papers were printed "On the Motion of Spherical and Ellipsoidal Bodies in Fluid Media", and another "Note on Twists in an Infinite
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