An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 Seiten |
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Seite v
... expressions known by the name of Laplace's Functions , or Spherical Harmonics , and of some other expressions of a similar nature . I do not , of course , profess to have produced a complete treatise on these functions , but merely to ...
... expressions known by the name of Laplace's Functions , or Spherical Harmonics , and of some other expressions of a similar nature . I do not , of course , profess to have produced a complete treatise on these functions , but merely to ...
Seite vii
... expression for P , in terms of u , by Lagrange's Theorem 12 7. The roots of the equation P O are all real 8. Rodrigues ' theorem 13 ib . 10. Proof that L P ; P du = 0 , and -1 LE P2 du 16 2i + 1 μΡ . αμ 12. Expression of P , in ...
... expression for P , in terms of u , by Lagrange's Theorem 12 7. The roots of the equation P O are all real 8. Rodrigues ' theorem 13 ib . 10. Proof that L P ; P du = 0 , and -1 LE P2 du 16 2i + 1 μΡ . αμ 12. Expression of P , in ...
Seite viii
... Expression of cos me in a series of zonal harmonics PAGE 29 ib . 33 21. Development of sin 0 in an infinite series of zonal harmonics 35 dPi 22. Value of in a series of zonal harmonics 37 αμ 24. Value of ΡΡμαμ of P 25 , 26. Expression ...
... Expression of cos me in a series of zonal harmonics PAGE 29 ib . 33 21. Development of sin 0 in an infinite series of zonal harmonics 35 dPi 22. Value of in a series of zonal harmonics 37 αμ 24. Value of ΡΡμαμ of P 25 , 26. Expression ...
Seite ix
... Expression of tesseral and sectorial harmonics in a completely developed form 8. Circles represented by tesseral and ... Expression of a rational function by a finite series of spherical harmonics 82 32 88883 84 87 90 ART . 16 ...
... Expression of tesseral and sectorial harmonics in a completely developed form 8. Circles represented by tesseral and ... Expression of a rational function by a finite series of spherical harmonics 82 32 88883 84 87 90 ART . 16 ...
Seite x
... Expressions in a converging series 102 4. Expression for the differential coefficient of Q. 105 5. Tesseral Harmonics of the second kind 106 CHAPTER VI . ELLIPSOIDAL AND SPHEROIDAL HARMONICS . 1. Introduction of Ellipsoidal Harmonics 2 ...
... Expressions in a converging series 102 4. Expression for the differential coefficient of Q. 105 5. Tesseral Harmonics of the second kind 106 CHAPTER VI . ELLIPSOIDAL AND SPHEROIDAL HARMONICS . 1. Introduction of Ellipsoidal Harmonics 2 ...
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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 Assistant Master Assistant-Master axis BEGINNERS BOOK Cambridge centre Classical Clifton College coefficients cos² Crown 8vo degree denoted density Edited by E. S. Edited by Rev ELEMENTARY English Exercises expression external point Extra fcap Fcap Fellow of St Fellow of Trinity Globe 8vo GRAMMAR Hence Illustrations internal Introduction and Notes J. P. MAHAFFY JOHN BOND John's College late Fellow LATIN Lecturer Litt LL.D numerous obtain Owens College Oxford P₁ P₂ plane potential preparation PRIMER radius rational integral function revised and enlarged satisfies the equation School Second Edition sin² solid solid harmonic sphere spherical harmonic suppose surface harmonic Tesseral Translated TREATISE Trinity College University V₁ Vocabulary y+b² y+c² zonal harmonics αμ αμσ µ² µ³
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