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- Spherical_harmonics abstract "In mathematics, spherical harmonics are the angular portion of a set of solutions to Laplace's equation. Represented in a system of spherical coordinates, Laplace's spherical harmonics are a specific set of spherical harmonics that forms an orthogonal system, first introduced by Pierre Simon de Laplace in 1782. Spherical harmonics are important in many theoretical and practical applications, particularly in the computation of atomic orbital electron configurations, representation of gravitational fields, geoids, and the magnetic fields of planetary bodies and stars, and characterization of the cosmic microwave background radiation. In 3D computer graphics, spherical harmonics play a special role in a wide variety of topics including indirect lighting (ambient occlusion, global illumination, precomputed radiance transfer, etc.) and recognition of 3D shapes.".
- Spherical_harmonics thumbnail Harmoniki.png?width=300.
- Spherical_harmonics wikiPageExternalLink pg=292.
- Spherical_harmonics wikiPageID "203056".
- Spherical_harmonics wikiPageRevisionID "603819223".
- Spherical_harmonics first "E.D.".
- Spherical_harmonics hasPhotoCollection Spherical_harmonics.
- Spherical_harmonics id "S/s086690".
- Spherical_harmonics last "Solomentsev".
- Spherical_harmonics title "Spherical harmonics".
- Spherical_harmonics urlname "SphericalHarmonic".
- Spherical_harmonics year "2001".
- Spherical_harmonics subject Category:Atomic_physics.
- Spherical_harmonics subject Category:Fourier_analysis.
- Spherical_harmonics subject Category:Harmonic_analysis.
- Spherical_harmonics subject Category:Partial_differential_equations.
- Spherical_harmonics subject Category:Rotational_symmetry.
- Spherical_harmonics subject Category:Special_hypergeometric_functions.
- Spherical_harmonics type Abstraction100002137.
- Spherical_harmonics type Communication100033020.
- Spherical_harmonics type DifferentialEquation106670521.
- Spherical_harmonics type Equation106669864.
- Spherical_harmonics type Function113783816.
- Spherical_harmonics type MathematicalRelation113783581.
- Spherical_harmonics type MathematicalStatement106732169.
- Spherical_harmonics type Message106598915.
- Spherical_harmonics type PartialDifferentialEquation106670866.
- Spherical_harmonics type PartialDifferentialEquations.
- Spherical_harmonics type Relation100031921.
- Spherical_harmonics type SpecialHypergeometricFunctions.
- Spherical_harmonics type Statement106722453.
- Spherical_harmonics comment "In mathematics, spherical harmonics are the angular portion of a set of solutions to Laplace's equation. Represented in a system of spherical coordinates, Laplace's spherical harmonics are a specific set of spherical harmonics that forms an orthogonal system, first introduced by Pierre Simon de Laplace in 1782.".
- Spherical_harmonics label "Armoniche sferiche".
- Spherical_harmonics label "Armónicos esféricos".
- Spherical_harmonics label "Harmoniki sferyczne".
- Spherical_harmonics label "Harmonique sphérique".
- Spherical_harmonics label "Harmônicos esféricos".
- Spherical_harmonics label "Kugelflächenfunktionen".
- Spherical_harmonics label "Sferische harmoniek".
- Spherical_harmonics label "Spherical harmonics".
- Spherical_harmonics label "Сферические функции".
- Spherical_harmonics label "توافقات كروية".
- Spherical_harmonics label "球谐函数".
- Spherical_harmonics label "球面調和関数".
- Spherical_harmonics sameAs Sférické_harmonické_funkce.
- Spherical_harmonics sameAs Kugelflächenfunktionen.
- Spherical_harmonics sameAs Armónicos_esféricos.
- Spherical_harmonics sameAs Harmonique_sphérique.
- Spherical_harmonics sameAs Armoniche_sferiche.
- Spherical_harmonics sameAs 球面調和関数.
- Spherical_harmonics sameAs 구면_조화_함수.
- Spherical_harmonics sameAs Sferische_harmoniek.
- Spherical_harmonics sameAs Harmoniki_sferyczne.
- Spherical_harmonics sameAs Harmônicos_esféricos.
- Spherical_harmonics sameAs m.01cv1m.
- Spherical_harmonics sameAs Q877100.
- Spherical_harmonics sameAs Q877100.
- Spherical_harmonics sameAs Spherical_harmonics.
- Spherical_harmonics wasDerivedFrom Spherical_harmonics?oldid=603819223.
- Spherical_harmonics depiction Harmoniki.png.
- Spherical_harmonics isPrimaryTopicOf Spherical_harmonics.
