An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
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Resultat 1-5 av 21
Side 19
... respectively , it follows that " will be a linear function of P and zonal harmonics of lower orders , μ of P , and zonal harmonics of m m - 1 m - 1 lower orders , and so on . Hence " Pdu will be the sum of Jμm a series of multiples of ...
... respectively , it follows that " will be a linear function of P and zonal harmonics of lower orders , μ of P , and zonal harmonics of m m - 1 m - 1 lower orders , and so on . Hence " Pdu will be the sum of Jμm a series of multiples of ...
Side 20
... respectively assume , when -μ is written for u . PP or -P , according as i is P involves only odd , or only even , as i is odd or even * . Assume then even or odd . 1 P , ... P1 , Hence That is , powers of i , according P1 = ' ‚μ3 + A ...
... respectively assume , when -μ is written for u . PP or -P , according as i is P involves only odd , or only even , as i is odd or even * . Assume then even or odd . 1 P , ... P1 , Hence That is , powers of i , according P1 = ' ‚μ3 + A ...
Side 30
... respectively . Therefore when reduced to a common denominator , the result will involve in its denominator the factor if ( m + i + 1 ) ( m + i - 1 ) ... ( m + 1 ) ( m −1 ) ... ( m - i - 1 ) . m be even , and - ( m + i + 1 ) ( m + i ...
... respectively . Therefore when reduced to a common denominator , the result will involve in its denominator the factor if ( m + i + 1 ) ( m + i - 1 ) ... ( m + 1 ) ( m −1 ) ... ( m - i - 1 ) . m be even , and - ( m + i + 1 ) ( m + i ...
Side 45
... respectively equal to ( 1 ) and ( 2 ) when is put = 0 , and consequently 1 ' = 2. The expression ( 2 ′ ) also vanishes when r is infinitely great , and must therefore be employed for values of r greater than c , while ( 1 ' ) becomes ...
... respectively equal to ( 1 ) and ( 2 ) when is put = 0 , and consequently 1 ' = 2. The expression ( 2 ′ ) also vanishes when r is infinitely great , and must therefore be employed for values of r greater than c , while ( 1 ' ) becomes ...
Side 54
... respectively . The volume of the strip of the sphere inter- cepted between these planes will be U , and its mass will be αζ 26 i 26 CPU . Now bu , hence d = bdμ ,, and this mass becomes = CU Ραμ . Hence the potential of this strip at a ...
... respectively . The volume of the strip of the sphere inter- cepted between these planes will be U , and its mass will be αζ 26 i 26 CPU . Now bu , hence d = bdμ ,, and this mass becomes = CU Ραμ . Hence the potential of this strip at a ...
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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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