An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
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Side v
... given such an introduc- tory sketch as may facilitate the study of the numerous works and memoirs in which they are employed . As Spherical Harmonics derive their chief interest and utility from their physical applications , I have ...
... given such an introduc- tory sketch as may facilitate the study of the numerous works and memoirs in which they are employed . As Spherical Harmonics derive their chief interest and utility from their physical applications , I have ...
Side 16
... given differential equation is satisfied by put- di - di + i ( i + 1 ) { dμ3 ( μ2 — αμ − 1 ) } = 0 . = Introducing the condition that P is that value of ƒ ( μ ) which is equal to 1 , when μ = 1 , we get 1 di - i 2.1.2 ... i du αμ ( μ2 ...
... given differential equation is satisfied by put- di - di + i ( i + 1 ) { dμ3 ( μ2 — αμ − 1 ) } = 0 . = Introducing the condition that P is that value of ƒ ( μ ) which is equal to 1 , when μ = 1 , we get 1 di - i 2.1.2 ... i du αμ ( μ2 ...
Side 45
... given by one of the following series : M C - 1 P 2 2.2 + 1.3 2.4 P. ca 2.4 1 C1 + ( - 1 ) ' 1.3.5 ... ( 2-1 ) 2.4 . 6 ... 2i P 1.3 C1 + Р. 2.4 4 ... 7128 + .. ( 1 ′ ) , M P - r 1 P 2 2 c2 + ( − 1 ) ' 1.3.5 ... ( 2-1 ) 2.4.6 ... 2i P ...
... given by one of the following series : M C - 1 P 2 2.2 + 1.3 2.4 P. ca 2.4 1 C1 + ( - 1 ) ' 1.3.5 ... ( 2-1 ) 2.4 . 6 ... 2i P 1.3 C1 + Р. 2.4 4 ... 7128 + .. ( 1 ′ ) , M P - r 1 P 2 2 c2 + ( − 1 ) ' 1.3.5 ... ( 2-1 ) 2.4.6 ... 2i P ...
Side 46
... given value of the potential for every point of the axis , lying within the inner bounding surface , and does not become infinite at any point within that surface . Again , suppose the potential at any point of the axis without the ...
... given value of the potential for every point of the axis , lying within the inner bounding surface , and does not become infinite at any point within that surface . Again , suppose the potential at any point of the axis without the ...
Side 47
... given value of the potential for every point of the axis , lying without the outer bounding surface , and it does not become infinite at any point within that surface . By the introduction of the expressions for zonal har- monics in the ...
... given value of the potential for every point of the axis , lying without the outer bounding surface , and it does not become infinite at any point within that surface . By the introduction of the expressions for zonal har- monics in the ...
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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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