An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
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Side vii
... Equation of Zonal Harmonics 2. General solution of this equation 3. Proof that P , is the coefficient of h in a certain series 6. Investigation of expression for P ; in terms of u , by Lagrange's PAGE 5 6 11 Theorem 12 • 7 . The roots ...
... Equation of Zonal Harmonics 2. General solution of this equation 3. Proof that P , is the coefficient of h in a certain series 6. Investigation of expression for P ; in terms of u , by Lagrange's PAGE 5 6 11 Theorem 12 • 7 . The roots ...
Side x
... equation 4. Further transformation 5. Introduction of the quantities E , H 6 , 7. Number of values of E of the ... equations when the ellipsoid is X CONTENTS .
... equation 4. Further transformation 5. Introduction of the quantities E , H 6 , 7. Number of values of E of the ... equations when the ellipsoid is X CONTENTS .
Side xi
... equations when the ellipsoid is one of revolution about the least axis 136 21. Unsymmetrical distribution 139 22. Special examples . Density varying as P¡ ( μ ) 23. External potential varying inversely as distance from focus 24 , 25 ...
... equations when the ellipsoid is one of revolution about the least axis 136 21. Unsymmetrical distribution 139 22. Special examples . Density varying as P¡ ( μ ) 23. External potential varying inversely as distance from focus 24 , 25 ...
Side 1
... equation d'V d'V dev d2 V + + = 0 . dx2 + dy2 + dz2 or , as we shall write it for shortness , VV = 0 . . ( 1 ) , The general solution of this equation cannot be obtained . in ... Equation of Zonal Harmonics General solution of this equation.
... equation d'V d'V dev d2 V + + = 0 . dx2 + dy2 + dz2 or , as we shall write it for shortness , VV = 0 . . ( 1 ) , The general solution of this equation cannot be obtained . in ... Equation of Zonal Harmonics General solution of this equation.
Side 2
... equation ( 2 ) becomes 2 -ď2 ( r U. ) 1 d dr dU 1 d2 U + sin + = 0 , sin e de sin ' do2 shewing that U is an admissible value of V , as satisfying equation ( 2 ) . 2i + 1 It appears therefore that every form of U , can be ob- tained ...
... equation ( 2 ) becomes 2 -ď2 ( r U. ) 1 d dr dU 1 d2 U + sin + = 0 , sin e de sin ' do2 shewing that U is an admissible value of V , as satisfying equation ( 2 ) . 2i + 1 It appears therefore that every form of U , can be ob- tained ...
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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
a²+v Assistant-Master axis become infinite bounding surface c²+v Cambridge centre Chap co-ordinates coefficients confocal ellipsoid cos² Crown 8vo degree denoted dx² dµdp 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 P₁₂ 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 V₂ writing y+b² y+c² Y₁ zonal harmonics αμ αμσ µ² µ³ προ
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