Titel: A Treatise on Analytical Statics, Vol 2 With Numerous Examples Classic Reprint
Verlag: Forgotten Books
Erscheinungsjahr: 2018
Sprache: Englisch
ISBN-10: 1330480171
ISBN-13: 9781330480175
Einband: PAP
Zustand: New

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Excerpt from A Treatise on Analytical Statics, Vol. 2: With Numerous Examples

Any function of two independent angular coordinates (such as the direction angles 0, <1; of the radius vector) which satisfies equation (7) is called a Laplace's function. Thus Y is a Laplace's function of the order n. The corresponding function a when expressed in terms of (at, y, z) satisfies Laplace's equation and is a spherical harmonic, Art. 161. A Laplace's function when expressed as a function of the Cartesian coordinates of the point at which the radius vector intersects some given sphere with its centre at the origin is called a spherical surface harmonic.

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