An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 Seiten |
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Seite ix
... AXES IN ANY POSITION . POTENTIAL OF A SOLID NEARLY SPHERICAL IN FORM . PAGE 69 ib . ᎪᎡᎢ . 1. Spherical Harmonics in ... axis in any position . Laplace's co- efficients 15. Expression of a rational function by a finite series of ...
... AXES IN ANY POSITION . POTENTIAL OF A SOLID NEARLY SPHERICAL IN FORM . PAGE 69 ib . ᎪᎡᎢ . 1. Spherical Harmonics in ... axis in any position . Laplace's co- efficients 15. Expression of a rational function by a finite series of ...
Seite xi
... axis 136 21. Unsymmetrical distribution 139 22. Special examples . Density varying as P¡ ( μ ) . ib . 23. External ... axes 145 cipal planes · plane • · 27. Potential varying as the distance from a principal plane 28. Potential varying ...
... axis 136 21. Unsymmetrical distribution 139 22. Special examples . Density varying as P¡ ( μ ) . ib . 23. External ... axes 145 cipal planes · plane • · 27. Potential varying as the distance from a principal plane 28. Potential varying ...
Seite xii
... ERRATA . 1 2 p . 17 line 4 , for read 2i + 1 " 2i + 1 ° p . 113 line 8 , for V read E. p . 136 line 11 , for read . p . 142 line 6 , for point read axis . CHAPTER I. INTRODUCTORY . DEFINITION OF SPHERICAL HARMONICS . 1.
... ERRATA . 1 2 p . 17 line 4 , for read 2i + 1 " 2i + 1 ° p . 113 line 8 , for V read E. p . 136 line 11 , for read . p . 142 line 6 , for point read axis . CHAPTER I. INTRODUCTORY . DEFINITION OF SPHERICAL HARMONICS . 1.
Seite 5
... Axis of the system of Zonal Harmonics ; and the point in which the positive direction of the axis meets a sphere whose centre is the origin of co - ordinates , and radius unity , is called the Pole of the system . Any constant multiple ...
... Axis of the system of Zonal Harmonics ; and the point in which the positive direction of the axis meets a sphere whose centre is the origin of co - ordinates , and radius unity , is called the Pole of the system . Any constant multiple ...
Seite 8
... axis of z , from the origin , and R be the distance between these points , we know that , R2 = x2 + y2 + ( z ' — z ) 3 , and that = 0 . Now , transform these expressions to polar co - ordinates , by writing x = r sin cos p , y = rsin 0 ...
... axis of z , from the origin , and R be the distance between these points , we know that , R2 = x2 + y2 + ( z ' — z ) 3 , and that = 0 . Now , transform these expressions to polar co - ordinates , by writing x = r sin cos p , y = rsin 0 ...
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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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