An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 Seiten |
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Seite x
... Introduction of Ellipsoidal Harmonics 2. Definition of Elliptic Co - ordinates 108 ib . 3. Transformation of the fundamental equation 4. Further transformation 5. Introduction of the quantities E , H 6 , 7. Number of values of E of the ...
... Introduction of Ellipsoidal Harmonics 2. Definition of Elliptic Co - ordinates 108 ib . 3. Transformation of the fundamental equation 4. Further transformation 5. Introduction of the quantities E , H 6 , 7. Number of values of E of the ...
Seite 13
... introducing an im- portant theorem , due to Rodrigues , properly belonging to the Differential Calculus , but which is of great use in this subject . The theorem in question is as follows : If m be any integer less than i , di - m dx ...
... introducing an im- portant theorem , due to Rodrigues , properly belonging to the Differential Calculus , but which is of great use in this subject . The theorem in question is as follows : If m be any integer less than i , di - m dx ...
Seite 16
... 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 − 1 ) . 10. We shall now establish two very important proper- ties of the function P ; and apply them ...
... 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 − 1 ) . 10. We shall now establish two very important proper- ties of the function P ; and apply them ...
Seite 47
... introduction of the expressions for zonal har- monics in the form of definite integrals , it will be found that if the value of either of these potentials for any point in the axis be denoted by ( ) , the corresponding value for any ...
... introduction of the expressions for zonal har- monics in the form of definite integrals , it will be found that if the value of either of these potentials for any point in the axis be denoted by ( ) , the corresponding value for any ...
Seite 104
... . .. 3. The expression for Q , may be thrown into a more convenient form , by introducing into the numerator and de- nominator of the coefficient of each term , the factor 104 SPHERICAL HARMONICS OF THE SECOND KIND .
... . .. 3. The expression for Q , may be thrown into a more convenient form , by introducing into the numerator and de- nominator of the coefficient of each term , the factor 104 SPHERICAL HARMONICS OF THE SECOND KIND .
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An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them N M (Norman MacLeod) 1829-19 Ferrers Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
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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