Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Function
|
| gptkbp:application |
gptkb:Computer_Vision
gptkb:Climate_Modeling Astronomy Geodesy Seismology Image Compression Molecular Orbital Theory Global Illumination Multipole Expansion 3D Shape Analysis Acoustic Beamforming Antenna Radiation Patterns Audio Spatialization Cosmic Microwave Background Analysis Data Compression on Spherical Domains Gravitational Field Modeling Lighting in Computer Graphics Magnetic Field Modeling Representation of Planetary Fields Satellite Data Analysis Signal Processing on the Sphere Virtual Reality Audio |
| gptkbp:basisFor |
Functions on the Sphere
|
| gptkbp:definedIn |
Surface of a Sphere
|
| gptkbp:expansion |
Spherical Harmonic Expansion
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Physics Engineering |
| gptkbp:firstDescribed |
gptkb:Pierre-Simon_Laplace
|
| https://www.w3.org/2000/01/rdf-schema#label |
Spherical Harmonic
|
| gptkbp:namedAfter |
gptkb:Sphere
|
| gptkbp:notation |
Y_l^m
|
| gptkbp:orthogonal |
Yes
|
| gptkbp:parameter |
Degree (l)
Order (m) |
| gptkbp:property |
Complete Set
Complex-valued Eigenfunctions of the Laplacian Real-valued (in some conventions) |
| gptkbp:relatedTo |
Associated Legendre Functions
Legendre Polynomials |
| gptkbp:solvedBy |
Laplace's Equation in Spherical Coordinates
|
| gptkbp:usedIn |
gptkb:Electromagnetism
gptkb:Quantum_Mechanics gptkb:Acoustics Geophysics Computer Graphics |
| gptkbp:bfsParent |
gptkb:Catherine_Asaro
|
| gptkbp:bfsLayer |
6
|