An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 Seiten |
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Seite vii
... Equation of Zonal Harmonics 2. General solution of this equation 3. Proof that P , is the coefficient of h in a certain series PAGE 6 5. Other expressions for P1 11 · • 6. Investigation of expression for P , in terms of u , by ...
... Equation of Zonal Harmonics 2. General solution of this equation 3. Proof that P , is the coefficient of h in a certain series PAGE 6 5. Other expressions for P1 11 · • 6. Investigation of expression for P , in terms of u , by ...
Seite x
... equation • 5. Introduction of the quantities E , H 4. Further transformation 6 , 7. Number of values of E of the degree n 8. Number of values of the degree n + . 9 , 10 , 11. Expression of EHH ' in terms of x , y , z 12. Potential for ...
... equation • 5. Introduction of the quantities E , H 4. Further transformation 6 , 7. Number of values of E of the degree n 8. Number of values of the degree n + . 9 , 10 , 11. Expression of EHH ' in terms of x , y , z 12. Potential for ...
Seite xi
... equations when the ellipsoid is one of revolution about the greatest axis 17. Interpretation of auxiliary quantities introduced 18. Unsymmetrical distribution 19. Analogy with Spherical Harmonics 20. Modification of equations when the ...
... equations when the ellipsoid is one of revolution about the greatest axis 17. Interpretation of auxiliary quantities introduced 18. Unsymmetrical distribution 19. Analogy with Spherical Harmonics 20. Modification of equations when the ...
Seite 1
... equation d ' V d2 V d2 V + + = 0 ..... dx2✦ dy ** dz2 or , as we shall write it for shortness , V2 V = 0 . ( 1 ) , The general solution of this equation cannot be obtained in ... Equation of Zonal Harmonics General solution of this equation.
... equation d ' V d2 V d2 V + + = 0 ..... dx2✦ dy ** dz2 or , as we shall write it for shortness , V2 V = 0 . ( 1 ) , The general solution of this equation cannot be obtained in ... Equation of Zonal Harmonics General solution of this equation.
Seite 2
... equation ( 2 ) becomes d r ď2 ( r U. ) 1 + αγ sin e de ( sin o du ) 1 d2 U + = 0 , sin2 do2 shewing that U , is an admissible value of V , as satisfying equation ( 2 ) . It appears therefore that every form of U , can be ob- tained from ...
... equation ( 2 ) becomes d r ď2 ( r U. ) 1 + αγ sin e de ( sin o du ) 1 d2 U + = 0 , sin2 do2 shewing that U , is an admissible value of V , as satisfying equation ( 2 ) . It appears therefore that every form of U , can be ob- tained from ...
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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
A. S. WALPOLE A. W. VERRALL ALGEBRA ARITHMETIC Assistant Master Assistant-Master axis BEGINNERS BOOK Cambridge centre CHEMISTRY Christ's College Clifton College coefficients cos² Crown 8vo degree denoted density Edited by E. S. Edited by Rev ellipsoid English Exercises expression external point Extra fcap Fcap Fellow of St Fellow of Trinity Globe 8vo GRAMMAR Hence HISTORY internal Introduction and Notes J. P. MAHAFFY John's College late Fellow LATIN Lecturer Litt LL.D Macmillan's Mathematics numerous Illustrations obtain Owens College Oxford P₁ P₂ plane potential preparation PRIMER radius rational integral function revised and enlarged School Second Edition solid solid harmonic sphere spherical harmonic surface harmonic Tesseral Translated Trinity College University V₁ Vocabulary y+b² y+c² zonal harmonic αμ αμσ μ² µ³
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