An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
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Side ix
... external point 3. Relation between the density and the potential of a spherical shell . 4. The spherical harmonic of the degree i will involve 2i + 1 arbi- trary constants • 5. Derivation of successive harmonics from the zonal harmonic ...
... external point 3. Relation between the density and the potential of a spherical shell . 4. The spherical harmonic of the degree i will involve 2i + 1 arbi- trary constants • 5. Derivation of successive harmonics from the zonal harmonic ...
Side x
... external point 121 13. Law of density 123 14. Fundamental Property of Ellipsoidal Harmonics 126 15. Transformation of Sfev eV , V , ds to elliptic co - ordinates . 128 ART . 16. Modification of equations when the ellipsoid is X CONTENTS .
... external point 121 13. Law of density 123 14. Fundamental Property of Ellipsoidal Harmonics 126 15. Transformation of Sfev eV , V , ds to elliptic co - ordinates . 128 ART . 16. Modification of equations when the ellipsoid is X CONTENTS .
Side 6
... external point . We shall discuss their properties more fully hereafter . 3. We have thus shewn that the most general solution of equation ( 2 ) of the form of a rational integral function of u involves but one arbitrary constant , and ...
... external point . We shall discuss their properties more fully hereafter . 3. We have thus shewn that the most general solution of equation ( 2 ) of the form of a rational integral function of u involves but one arbitrary constant , and ...
Side 49
... point , distant r from the centre , we first develope this expression in a converging series , proceeding by powers ... external point . For we see that , if V be the potential of such a lamina , k its thickness , and p its density , we ...
... point , distant r from the centre , we first develope this expression in a converging series , proceeding by powers ... external point . For we see that , if V be the potential of such a lamina , k its thickness , and p its density , we ...
Side 51
... external point O at any point of its mass . It is proved by the method of inversion ( see Thomson and Tait's Natural Philosophy , Vol . 1 , Art . 518 ) that the potential at any external point P ' will be equal to M , O'P ' Ο ' being ...
... external point O at any point of its mass . It is proved by the method of inversion ( see Thomson and Tait's Natural Philosophy , Vol . 1 , Art . 518 ) that the potential at any external point P ' will be equal to M , O'P ' Ο ' being ...
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An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them Norman Macleod Ferrers Uten tilgangsbegrensning - 1877 |
An Elementary Treatise on Spherical Harmonics, and Subjects Connected with Them Norman M. Ferrers Uten tilgangsbegrensning - 1877 |
An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them N M (Norman MacLeod) 1829-19 Ferrers Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
Assistant-Master axis b²+w become infinite bounding surface C₁ Cambridge centre Chap co-ordinates coefficients component attraction confocal ellipsoid corresponding cos² Crown 8vo degree denoted distance dV dV dy dz Edited by Rev ellipsoidal harmonics equal Eton College expression external point Extra fcap factor fcap Fellow of St follows Greek Hence homogeneous function internal John's College lamina late Fellow LATIN monics multiplying numerous obtain Oxford P₁ P₂ plane positive integer potential Professor radius rational integral function satisfies the equation series of zonal shewn sin² solid angle solid harmonic solutions sphere spherical harmonic spherical shell suppose surface harmonic Tesseral thickness Trinity College V₁ writing y+b² y+c² zonal harmonics αμ αμσ µ² µ³ µ³)³ προ
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