Find link

language:

Find link is a tool written by Edward Betts.

Longer titles found: Spherical harmonics (view), Zonal spherical harmonics (view), Spherical harmonic lighting (view), Vector spherical harmonics (view), Table of spherical harmonics (view)

searching for Spherical Harmonic 61 found (117 total)

alternate case: spherical Harmonic

World Magnetic Model (555 words) [view diff] no match in snippet view article find links to article

core. Apart from the 168 spherical-harmonic "Gauss" coefficients, the model also has an equal number of spherical-harmonic secular variation coefficients

Spheroid (1,926 words) [view diff] case mismatch in snippet view article find links to article

some older papers on geodesy (for example, referring to truncated spherical harmonic expansions of the Earth's gravity geopotential model). The equation

Legendre wavelet (1,206 words) [view diff] case mismatch in snippet view article find links to article

derived from Legendre polynomials are termed Legendre wavelets or spherical harmonic wavelets. Legendre functions have widespread applications in which

Shape analysis (digital geometry) (719 words) [view diff] case mismatch in snippet view article

and mirrored) will have the same descriptor (for example moment or spherical harmonic based descriptors or Procrustes analysis operating on point clouds)

Gravitation of the Moon (2,329 words) [view diff] case mismatch in snippet view article find links to article

R = 1738.0 km. The gravity potential is written with a series of spherical harmonic functions Pnm. The gravitational potential V at an external point

John A. O'Keefe (astronomer) (1,141 words) [view diff] case mismatch in snippet view article

the discovery that the Earth had a significant third degree zonal spherical harmonic in its gravitational field using U.S. Vanguard 1 satellite data collected

List of transforms (267 words) [view diff] exact match in snippet view article find links to article

scaling, to a discrete cosine transform Finite Legendre transform Spherical Harmonic transform Irrational base discrete weighted transform Number-theoretic

List of partial differential equation topics (157 words) [view diff] case mismatch in snippet view article find links to article

Heat equation Laplace's equation Laplace operator Harmonic function Spherical harmonic Poisson integral formula Klein–Gordon equation Korteweg–de Vries equation

Lunar mare (1,620 words) [view diff] case mismatch in snippet view article find links to article

moments of inertia of the body (these are directly relatable to the spherical harmonic degree-2 terms of the gravity field), and the mare basalts hardly

List of representation theory topics (196 words) [view diff] case mismatch in snippet view article find links to article

representation Induced representation Peter–Weyl theorem Young tableau Spherical harmonic Hecke operator Representation theory of the symmetric group Representation

List of harmonic analysis topics (202 words) [view diff] case mismatch in snippet view article find links to article

Restricted representation Induced representation Peter–Weyl theorem Spherical harmonic Casimir operator Hecke operator Stone–von Neumann theorem Discrete

Figure of the Earth (2,821 words) [view diff] case mismatch in snippet view article find links to article

shape as a part of the geoid figure: they are represented by the spherical harmonic coefficients C 22 , S 22 {\displaystyle C_{22},S_{22}} and C 30 {\displaystyle

List of polynomial topics (441 words) [view diff] case mismatch in snippet view article find links to article

Littlewood polynomial Legendre polynomials Associated Legendre polynomials Spherical harmonic Lucas polynomials Macdonald polynomials Meixner polynomials Necklace

List of Fourier analysis topics (229 words) [view diff] case mismatch in snippet view article find links to article

operator Laplace equation Dirichlet problem Unit circle Unit disc Spherical harmonic Bessel function Dirac delta function Distribution Oscillatory integral

Hans-Georg Wenzel (827 words) [view diff] exact match in snippet view article find links to article

councilor. In 1985 he habilitated with his thesis "High Resolution Spherical Harmonic Models for the Gravitational Potential of the Earth" (Hochauflösende

Multipolar exchange interaction (3,756 words) [view diff] case mismatch in snippet view article find links to article

be called cubic super basis. Another commonly used super basis is spherical harmonic super basis which is built by replacing the σ x , σ y {\displaystyle

Coulomb wave function (1,970 words) [view diff] case mismatch in snippet view article find links to article

the expansion can be isolated by the scalar product with a specific spherical harmonic ψ k ℓ m ( r → ) = ∫ ψ k → ( r → ) Y ℓ m ( k ^ ) d k ^ = R k ℓ ( r

Helioseismology (5,433 words) [view diff] case mismatch in snippet view article find links to article

as the product of a function of radius r {\displaystyle r} and a spherical harmonic Y l m ( θ , ϕ ) {\displaystyle Y_{l}^{m}(\theta ,\phi )} , and consequently

Docking (molecular) (3,925 words) [view diff] case mismatch in snippet view article

Shao X, Maigret B (Jan 2002). "Protein-ligand recognition using spherical harmonic molecular surfaces: towards a fast and efficient filter for large

Fractional anisotropy (943 words) [view diff] exact match in snippet view article find links to article

anisotropy in diffusion. They can also be easily calculated by using the Spherical Harmonic coefficients of the ODF model. Basser, P.J. & Pierpaoli, C. (1996)

Lunar Prospector (3,618 words) [view diff] case mismatch in snippet view article find links to article

200 km (120 mi) and precision of 5 mGal (0.05 mm/s²) in the form of spherical harmonic coefficients to degree and order 60. In the extended mission, in which

MayaVi (411 words) [view diff] case mismatch in snippet view article find links to article

The spherical harmonic function Y 3 0 ( θ , φ ) {\displaystyle Y_{3}^{0}(\theta ,\varphi )}

Love number (955 words) [view diff] case mismatch in snippet view article find links to article

yield to an external tide potential U 2 {\displaystyle U_{2}} of spherical harmonic degree 2 by a surface tide h 2 U 2 / g {\displaystyle h_{2}U_{2}/g}

Slater integrals (860 words) [view diff] case mismatch in snippet view article find links to article

in terms of these coefficients. By expanding such a product over a spherical harmonic basis with the same order Y ℓ m Y ℓ ′ m ′ = ∑ ℓ ″ A ^ ℓ ″ ( ℓ , m

Quadrupole (1,983 words) [view diff] case mismatch in snippet view article find links to article

formula Applequist, J. (1989). "Traceless cartesian tensor forms for spherical harmonic functions: New theorems and applications to electrostatics of dielectric

Mercury's magnetic field (2,195 words) [view diff] case mismatch in snippet view article find links to article

different mathematical models of the magnetic field derived from spherical harmonic analysis of the two close Mariner 10 flybys, with reported centered

Potential theory (1,322 words) [view diff] case mismatch in snippet view article find links to article

Laplace equation which arise from separation of variables such as spherical harmonic solutions and Fourier series. By taking linear superpositions of these

World Digital Magnetic Anomaly Map (1,030 words) [view diff] case mismatch in snippet view article find links to article

This article is missing information about WDMAM v2 of 2015; spherical harmonic fit. Please expand the article to include this information. Further details

David Rubincam (603 words) [view diff] exact match in snippet view article find links to article

1077-1087. 1979 "Gravitational Potential Energy of the Earth: A Spherical Harmonic Approach," J. Geophys. Res., 84, 6219-6225. A284, 485-494. 1975 "Tidal

Moment of inertia factor (1,914 words) [view diff] case mismatch in snippet view article find links to article

rate and/or obliquity) with gravity quantities (coefficients of a spherical harmonic representation of the gravity field). These geodetic data usually

International Geomagnetic Reference Field (793 words) [view diff] case mismatch in snippet view article find links to article

potential model consists of the Gauss coefficients which define a spherical harmonic expansion of V {\displaystyle V} V ( r , ϕ , θ , t ) = a ∑ n = 1 N

Ooty Radio Telescope (1,903 words) [view diff] case mismatch in snippet view article find links to article

S2CID 54804413. Chatterjee, Suman; Bharadwaj, Somnath (1 August 2018). "A spherical harmonic analysis of the Ooty Wide Field Array (OWFA) visibility signal". Monthly

Adolfo Figueroa Viñas (1,400 words) [view diff] case mismatch in snippet view article find links to article

Association for Space Geophysics (ALAGE). Viñas, A F; Gurgiolo, C (2009). "Spherical harmonic analysis of particle velocity distribution function: Comparison of

Geoid (3,056 words) [view diff] case mismatch in snippet view article find links to article

approximate the shape of the geoid. The current best such set of spherical harmonic coefficients is EGM2020 (Earth Gravitational Model 2020), determined

Tharsis (3,998 words) [view diff] case mismatch in snippet view article find links to article

image, the higher average elevation of the southern hemisphere (zonal spherical harmonic degree 1) has been removed to highlight the elevation contrast of

PlayStation 2 technical specifications (3,691 words) [view diff] case mismatch in snippet view article find links to article

effects include: Dot3 bump mapping (normal mapping), mipmapping, spherical harmonic lighting, alpha blending, alpha test, destination alpha test, depth

Satellite geodesy (2,338 words) [view diff] case mismatch in snippet view article find links to article

These missions led to the accurate determination of the leading spherical harmonic coefficients of the geopotential, the general shape of the geoid,

Isotopic shift (1,991 words) [view diff] case mismatch in snippet view article find links to article

angular parts, but the perturbation has no angular dependence, so the spherical harmonic normalize integral over the unit sphere: Δ E = Z e 2 ( 4 π ϵ 0 ) 2

Joint encoding (1,598 words) [view diff] case mismatch in snippet view article find links to article

ambisonics implementation of Opus 1.3. A matrix may be used to mix the spherical harmonic channels together, reducing redundancy. Parametric stereo is similar

Georg Joseph Sidler (598 words) [view diff] case mismatch in snippet view article find links to article

professor. He retired in 1898. His most important works were about spherical harmonic functions and on perturbation theory. In 1861 he published his main

Dipole (3,895 words) [view diff] case mismatch in snippet view article find links to article

result of the non-spherical electric and magnetic waves. In fact, the spherical harmonic function (sin θ) responsible for such toroidal angular distribution

Decisive Analytics Corporation (907 words) [view diff] case mismatch in snippet view article find links to article

October 2006). "Error and symmetry analysis of Misner's algorithm for spherical harmonic decomposition on a cubic grid". Classical and Quantum Gravity. 23

GRAIL (2,835 words) [view diff] case mismatch in snippet view article find links to article

Strekalov, Dmitry; Harvey, Nate (2013). "The JPL lunar gravity field to spherical harmonic degree 660 from the GRAIL Primary Mission: GRAIL LUNAR GRAVITY". Journal

Hartree equation (2,264 words) [view diff] case mismatch in snippet view article find links to article

product of a radial function P ( r ) / r {\displaystyle P(r)/r} and a spherical harmonic with an angular quantum number ℓ {\displaystyle \ell } , namely ψ

Chu–Harrington limit (982 words) [view diff] case mismatch in snippet view article find links to article

component and non-propagating modes. The fields were expressed as a spherical harmonic series with the components being Legendre functions and spherical

Cube mapping (2,064 words) [view diff] case mismatch in snippet view article find links to article

represent a skylight is very complex; one recent process is computing the spherical harmonic basis that best represents the low frequency diffuse illumination

Orbit modeling (5,636 words) [view diff] case mismatch in snippet view article find links to article

represents the contribution to f {\displaystyle {\mathbf {f} }} of the spherical harmonic of degree n and order m, which is defined as: f n , m = μ R O 2 R

Magnetometer (Juno) (1,238 words) [view diff] case mismatch in snippet view article

the latest results from MAG with a mathematical model called VIP4 spherical harmonic model for the magnetic field of Jupiter. Magnetometer (type of instrument

Inertial navigation system (5,831 words) [view diff] case mismatch in snippet view article find links to article

resonant structure and then the resonant structure is rotated, the spherical harmonic standing wave rotates through an angle different from the quartz resonator

Long-period tides (1,625 words) [view diff] case mismatch in snippet view article find links to article

describe these gravitational potentials in spherical coordinates using spherical harmonic expansions. Several factors need to be considered in determine the

Parity (physics) (5,200 words) [view diff] case mismatch in snippet view article

intrinsic parities of the particles and the extrinsic parity of the spherical harmonic function ( − 1 ) L . {\displaystyle ~\left(-1\right)^{L}~.} Since

Adolf Schmidt (geophysicist) (442 words) [view diff] case mismatch in snippet view article

of the Earth. He introduced ordinary harmonic analysis in 1894 and spherical harmonic analysis later. He also introduced statistical improvements to measurement

Meson (5,001 words) [view diff] case mismatch in snippet view article find links to article

P=\left(-1\right)^{L+1}} where the L is a result of the parity of the corresponding spherical harmonic of the wavefunction. The "+1" comes from the fact that, according

William Lipscomb (5,957 words) [view diff] exact match in snippet view article find links to article

Lipscomb, W. N. (1962). "Evaluation of Molecular Integrals by Solid Spherical Harmonic Expansions". J. Chem. Phys. 37 (2): 267. Bibcode:1962JChPh..37..267P

Ambisonics (5,764 words) [view diff] case mismatch in snippet view article find links to article

that use amplitude panning The B-format signals comprise a truncated spherical harmonic decomposition of the sound field. They correspond to the sound pressure

Scanning SQUID microscopy (5,448 words) [view diff] case mismatch in snippet view article find links to article

parameter. The form of this function is equal to that of the l = 2 spherical harmonic function, giving it the name d-wave superconductivity. As the superconducting

General relativity (22,670 words) [view diff] case mismatch in snippet view article find links to article

third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits"

Spacetime triangle diagram technique (2,908 words) [view diff] case mismatch in snippet view article find links to article

1016/j.wavemoti.2011.12.001 V.V. Borisov, A.V. Manankova, A.B. Utkin, Spherical harmonic representation of the electromagnetic field produced by a moving pulse

Newman–Penrose formalism (6,411 words) [view diff] case mismatch in snippet view article find links to article

respectively. − 2 Y l m {\displaystyle {}_{-2}Y_{lm}} is the spin-weight -2 spherical harmonic. Light-cone coordinates GHP formalism Tetrad formalism Goldberg–Sachs

Medical image computing (8,460 words) [view diff] case mismatch in snippet view article find links to article

Yap; Y Chen; H An; Y Yang; J Gilmore; W Lin; D Shen (2011). "SPHERE: SPherical Harmonic Elastic REgistration of HARDI data". NeuroImage. 55 (2): 545–556.

William J. Nellis (2,086 words) [view diff] case mismatch in snippet view article find links to article

GPa. Chinese Physics Letters, 31, 126201. Granzow, K. D. (1983). Spherical harmonic representation of the magnetic field in the presence of a current