An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
Inni boken
Resultat 1-5 av 33
Side x
... SECOND KIND . PAGE 91 93 95 97 99 1 . Definition of these harmonics 101 2 and 3. 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 ...
... SECOND KIND . PAGE 91 93 95 97 99 1 . Definition of these harmonics 101 2 and 3. 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 ...
Side 17
... second by P , subtracting and integrating , we get P m d d - - αμ άμ {ード' dμ dP du m αμ + { i ' ( i + 1 ) − m ( m + 1 ) } [ P ̧P „ dμ = 0 . Hence , transforming the first two integrals by integration by parts , and remarking that we ...
... second by P , subtracting and integrating , we get P m d d - - αμ άμ {ード' dμ dP du m αμ + { i ' ( i + 1 ) − m ( m + 1 ) } [ P ̧P „ dμ = 0 . Hence , transforming the first two integrals by integration by parts , and remarking that we ...
Side 74
... second , we ob- tain a series of i real solutions of the equation . Another such series may be obtained by subtracting each term of the second series from the corresponding term of the first , and dividing by 1. We have thus obtained ...
... second , we ob- tain a series of i real solutions of the equation . Another such series may be obtained by subtracting each term of the second series from the corresponding term of the first , and dividing by 1. We have thus obtained ...
Side 91
... ( 1 — μ3 ) sin 24 + 21 ( 14 " ) sin 24 } T ( 2 ) T = { 115 TS + 1 , 7 " } sin 42 2 24 . Next , let it be required to transform cos30 sin30 TESSERAL AND SECTORIAL HARMONICS . 91 SPHERICAL HARMONICS OF THE SECOND KIND PAGE.
... ( 1 — μ3 ) sin 24 + 21 ( 14 " ) sin 24 } T ( 2 ) T = { 115 TS + 1 , 7 " } sin 42 2 24 . Next , let it be required to transform cos30 sin30 TESSERAL AND SECTORIAL HARMONICS . 91 SPHERICAL HARMONICS OF THE SECOND KIND PAGE.
Side 100
... ( 2 ) with respect to c between the limits R and a , remembering in both cases that P is a function of c , and add the results together . CHAPTER V. SPHERICAL HARMONICS OF THE SECOND KIND . 1. 100 SPHERICAL HARMONICS IN GENERAL .
... ( 2 ) with respect to c between the limits R and a , remembering in both cases that P is a function of c , and add the results together . CHAPTER V. SPHERICAL HARMONICS OF THE SECOND KIND . 1. 100 SPHERICAL HARMONICS IN GENERAL .
Andre utgaver - Vis alle
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
Populære avsnitt
Side 17 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Side 52 - HALES— LONGER ENGLISH POEMS, with Notes, Philological and Explanatory, and an Introduction on the Teaching of English. Chiefly for Use in Schools. Edited by JW HALES, MA, Professor of English Literature at King's College, London.
Side 21 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. $s. 6d. HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools.
Side 18 - Astronomer Royal :— ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams. Second Edition. Crown 8vo. $s. 6d. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Side 14 - MAYOR (JOSEPH B.)— GREEK FOR BEGINNERS. By the Rev. JB MAYOR, MA, Professor of Classical Literature in King's College, London. Part I., with Vocabulary, is.
Side 2 - IV. and V. Edited by CE GRAVES, MA, Classical Lecturer, and late Fellow of .St. John's College, Cambridge.
Side 18 - Crown 8vo. 6s. 6d. ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students of the University.
Side 25 - ARITHMETIC. (Dedicated to Lord Sandon.) With Answers and Hints. Standards I. and II. in box, is. Standards III., IV., and V., in boxes, is. each. Standard VI. in Two Parts, in boxes, is. each. A and B papers, of nearly the same difficulty, are given so as to prevent copying, and the colours of the A and B papers differ in each Standard, and from those of every other Standard, so that a master or mistress can see at a glance whether the children have the proper papers.
Side 22 - JACKSON — GEOMETRICAL CONIC SECTIONS. An Elementary Treatise in which the Conic Sections are defined as the Plane Sections of a Cone, and treated by the Method of Projection. By J. STUART JACKSON, MA, late Fellow of Gonville and Caius College, Cambridge.