Spherical harmonic analysis

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a mathematical method, sometimes referred to as that of Laplace's Coefficients, which has for its object the expression of an arbitrary, periodic function of two independent variables, in the proper form for a large class of physical problems, involving arbitrary data, over a spherical surface, and the deduction of solutions for every point of space. The functions employed in this method are called spherical harmonic functions.

See under Harmonic, a.

See also: Harmonic Spherical

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Laplace's Coefficients			Sphenographic Sphenographist sphenography sphenoid sphenoid bone sphenoid fontanel sphenoid fontanelle Sphenoidal sphenoidal fontanel sphenoidal fontanelle Sphenopsida Sphenotic Sphenotic bone spher- spheral sphere sphere of influence spheric spherical spherical aberration spherical angle spherical coordinate spherical coordinates spherical excess spherical geometry Spherical harmonic analysis Spherical lune Spherical opening spherical polygon Spherical projection Spherical sector Spherical segment spherical triangle spherical trigonometry Spherical ungula Spherical wedge spherically sphericalness sphericist. sphericity Sphericle spherics sphero- Spherobacteria Spheroconic spherocyte Spherograph spheroid spheroid joint spheroidal Spheroidal state			Spherical Cubic Interpolation spherical curve spherical cyclic curve spherical degree Spherical distance Spherical Earth Model spherical equivalent Spherical Equivalent at Glasses Plane Spherical Equivalent of Subjective Manifest Refraction Spherical Equivalent Refraction spherical error spherical error spherical error spherical error spherical error Spherical Error of Probability Spherical Error Probable spherical excess spherical excess spherical form of occlusion spherical form of occlusion spherical form of occlusion spherical form of occlusion Spherical function Spherical functions Spherical Gaussian Function spherical geometry spherical geometry Spherical Hankel function of the first kind Spherical Hankel function of the second kind Spherical harmonic analysis Spherical Harmonic Discrete Ordinate Method Spherical Harmonic Transformation Spherical harmonics Spherical harmony spherical image spherical indicatrix spherical indicatrix of the binormal spherical indicatrix of the principal normal spherical indicatrix of the tangent spherical lens spherical lens spherical lens Spherical linear interpolation Spherical lune Spherical Mapping Spherical Mean Square Error Spherical Mesangial Dense Deposits Spherical Mexican Hat Wavelet Spherical Microwave Holography Spherical mirror Spherical modified Bessel function of the first kind Spherical modified Bessel function of the second kind Spherical Near Certainty Error Spherical opening Spherical pendulum Spherical polar coordinates Spherical polar coordinates

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