An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
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Side viii
... Integrals 27. Geometrical investigation of the equality of these definite integrals 28. Expression of P ; in terms of cose and sin CHAPTER III . PAGE 29 ib . 33 35 37 38 39 41 ' 42 3 . Solid angle subtended by a circle at any point 4 ...
... Integrals 27. Geometrical investigation of the equality of these definite integrals 28. Expression of P ; in terms of cose and sin CHAPTER III . PAGE 29 ib . 33 35 37 38 39 41 ' 42 3 . Solid angle subtended by a circle at any point 4 ...
Side xi
... any rational integral function of x , y , z , in a series of Ellipsoidal Harmonics 150 152 · 33. On the expression of functions in general by Ellipsoidal Har- monics 153 EXAMPLES 155 ERRATA . p . 17 line 4 , for 1 CONTENTS . xi.
... any rational integral function of x , y , z , in a series of Ellipsoidal Harmonics 150 152 · 33. On the expression of functions in general by Ellipsoidal Har- monics 153 EXAMPLES 155 ERRATA . p . 17 line 4 , for 1 CONTENTS . xi.
Side 5
... integral homogeneous function of r and z , and therefore P will be a rational integral function of cos 0 , that is of μ , of the degree i , and will involve none but positive integral powers of μ . But P is a particular integral of the ...
... integral homogeneous function of r and z , and therefore P will be a rational integral function of cos 0 , that is of μ , of the degree i , and will involve none but positive integral powers of μ . But P is a particular integral of the ...
Side 6
... integral function of μ of i i dimensions , it may be seen that - du ( 1 − μ3 ) P ̧2 will assume the form of the sum of i + 2 logarithms and fractions , and therefore cannot be expressed as a rational integral function αμ ( 1 − μ2 ) P ...
... integral function of μ of i i dimensions , it may be seen that - du ( 1 − μ3 ) P ̧2 will assume the form of the sum of i + 2 logarithms and fractions , and therefore cannot be expressed as a rational integral function αμ ( 1 − μ2 ) P ...
Side 7
... integral which assumes the value unity when μ is put equal to unity . We shall next prove the following important proposition . If h be less than unity , and if ( 1 – 2μh + h ) - be expanded in a series proceeding by ascending powers of ...
... integral which assumes the value unity when μ is put equal to unity . We shall next prove the following important proposition . If h be less than unity , and if ( 1 – 2μh + h ) - be expanded in a series proceeding by ascending powers of ...
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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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