An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
Inni boken
Resultat 1-5 av 25
Side xi
... distance from focus 24 , 25. Consequences of this distribution of potential 26. Ellipsoid with three unequal axes 27. Potential varying as the distance from a principal plane 28. Potential varying as the product of the distances from ...
... distance from focus 24 , 25. Consequences of this distribution of potential 26. Ellipsoid with three unequal axes 27. Potential varying as the distance from a principal plane 28. Potential varying as the product of the distances from ...
Side 8
... distance of a fixed point , situated on the axis of z , from the origin , and R be the distance between these points , we know that , and that Ra = x2 + y2 + ( z ' — 2 ) 3 , 2 = 0 . Now , transform these expressions to polar co ...
... distance of a fixed point , situated on the axis of z , from the origin , and R be the distance between these points , we know that , and that Ra = x2 + y2 + ( z ' — 2 ) 3 , 2 = 0 . Now , transform these expressions to polar co ...
Side 23
... to P1 inclusive , calculated by this formula , 10 P1 = 1 , P1 = μ , P2 = 3 2 μ 2 - 3μ2 - 1 5 2 1 2 • = 3 3 2μ 5μ - 3μ = 2 7.5 5.3 4 P1 = ня 3.1 2.4 με + ZONAL HARMONICS ; 23 External potential varying inversely as distance from focus.
... to P1 inclusive , calculated by this formula , 10 P1 = 1 , P1 = μ , P2 = 3 2 μ 2 - 3μ2 - 1 5 2 1 2 • = 3 3 2μ 5μ - 3μ = 2 7.5 5.3 4 P1 = ня 3.1 2.4 με + ZONAL HARMONICS ; 23 External potential varying inversely as distance from focus.
Side 27
... — — 5 P , + } P. 9.7.5 4 4 P. + P1 + 35 7 2 1 7.5 P 09 2.4 4 με = 11 3 P2 + 7 11.9.7 ZONAL HARMONICS . 27 Potential varying as the distance from a principal plane Geometrical investigation of the equality of these definite integrals.
... — — 5 P , + } P. 9.7.5 4 4 P. + P1 + 35 7 2 1 7.5 P 09 2.4 4 με = 11 3 P2 + 7 11.9.7 ZONAL HARMONICS . 27 Potential varying as the distance from a principal plane Geometrical investigation of the equality of these definite integrals.
Side 28
... + Po + Pot 32 48 50 187 143 143 2 P2 + 11P .. 18 . Any zonal harmonic P , may be expressed 28 ZONAL HARMONICS . Expression of P; in terms of cose and Potential varying as the product of the distances from two prin- cipal planes.
... + Po + Pot 32 48 50 187 143 143 2 P2 + 11P .. 18 . Any zonal harmonic P , may be expressed 28 ZONAL HARMONICS . Expression of P; in terms of cose and Potential varying as the product of the distances from two prin- cipal planes.
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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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