Memoirs Presented to the Cambridge Philosophical Society on the Occasion of the Jubilee of Sir George Gabriel Stokes, Bart., Hon. LL. D., Hon. SC. D., Lucasian ProfessorThe University Press, 1900 - 447 من الصفحات |
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الصفحة 16
... ORDER 3 . n + 1 2 ( n + 1 ) " ( n + 2 ) " ( ~ ± 3 ) " = N ‚ “ N , “ N ‚ “ , 1 2 3 3 When n is of form 4m + 1 , 4m + ... operation upon c will introduce a3 . It should be remarked that operation upon one letter may cause two letters to ...
... ORDER 3 . n + 1 2 ( n + 1 ) " ( n + 2 ) " ( ~ ± 3 ) " = N ‚ “ N , “ N ‚ “ , 1 2 3 3 When n is of form 4m + 1 , 4m + ... operation upon c will introduce a3 . It should be remarked that operation upon one letter may cause two letters to ...
الصفحة 269
... order that earliest present themselves , from some points of view , to the student are the groups of rotations of the regular solids . An admirable account of these ... operations of even order other than those of order two . To deal first.
... order that earliest present themselves , from some points of view , to the student are the groups of rotations of the regular solids . An admirable account of these ... operations of even order other than those of order two . To deal first.
الصفحة 270
... order , G must contain m operations of order two which form a single conjugate set . Let these be A1 , A2 , Am . S If A‚Â ̧ were an operation of order two , 1 , A ‚ ‚ Ã ̧ , and A , A ,, would constitute a subgroup of G of order four ...
... order , G must contain m operations of order two which form a single conjugate set . Let these be A1 , A2 , Am . S If A‚Â ̧ were an operation of order two , 1 , A ‚ ‚ Ã ̧ , and A , A ,, would constitute a subgroup of G of order four ...
الصفحة 271
Cambridge Philosophical Society. be two distinct conjugate sets of operations of order two . The operation AB must either be of order two or of odd order . If it were of odd order , μ , the subgroup generated by A and B would be a ...
Cambridge Philosophical Society. be two distinct conjugate sets of operations of order two . The operation AB must either be of order two or of odd order . If it were of odd order , μ , the subgroup generated by A and B would be a ...
الصفحة 272
... order must be 2 " , where μ is equal to or is a factor of 2n - 1. Also no two operations of H can be conjugate in G unless they are conjugate in K * . The 2n - 1 operations of order two in K therefore form a single conjugate set ; and ...
... order must be 2 " , where μ is equal to or is a factor of 2n - 1. Also no two operations of H can be conjugate in G unless they are conjugate in K * . The 2n - 1 operations of order two in K therefore form a single conjugate set ; and ...
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absorption acid aether amplitude axis B₁ bands centim chaîne chloride circle coefficients coil condenser conic constant contact transformations convergence coordinates corresponding cosh critical quadratic curve deflexion denote determined deux didymium diffuse dilution disc effect electric electrons equal équations erbium expression finite formula given Hence integer integrals vanishing Kimn linéaires lines lumière m₁ magnetic field minimal surface molecule monômes N₁ nitrate non-regular obtained opérateurs P₁ parallel period Periodogram peut plane plate polynôme régulier positive integer produits quantity quartic surfaces refrangible regular functions regular integrals rotation S₁ satisfied self-induction shews somme spark spectra spectrum subgroup substitution suppose surface t₁ t₂ tacnode tangent theorem theory thick u₁ U₂ V₁ variables velocity vibrations waves wire x₁ XVIII zero α₂ وو
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الصفحة 296 - A circular spindle is a solid generated by the revolution of a segment of a circle about its chord, which remains fixed.
الصفحة 218 - I found the proposition that by a centrifugal force reciprocally as the square of the distance a planet must revolve in an ellipsis about the centre of the force placed in the lower umbilicus of the ellipsis and with a radius drawn to that centre describe areas proportional to the times.
الصفحة xii - Talia propter merita non rnodo in insulis nostris doctrinae sedes septem te doctorem honoris causa nominaverunt, sed etiam exterae gentes honoribus eximiis certatim cumulaverunt. Hodie eodem doctoris titulo studiorum tuorum socios nonnullos exteris e gentibus ad nos advectos, et ipsorum et tuum in honorem, velut exempli causa, libenter ornamus. In perpetu.um denique observantiae nostrae et reverentiae testimonium, in honorem alumni diu a nobis dilecti et ab aliis nomismate honorifico non uno donati,...
الصفحة 57 - When the real part of X is positive, these integrals vanish with t] and there is a double infinitude of them. When the real part of X is negative, then it is necessary that A and B both vanish : that is, the integrals do not exist if they are to vanish with t. When B is zero, then the integrals become of the form where p2 is an arbitrary finite quantity, and pl is zero when t = 0.
الصفحة 42 - ... 0, t = 0. The equations are, in form, the same as before, except that the coefficients of the first power of the dependent variables on the right-hand side have been reduced by unity ; and the relation between the two sets of dependent variables is It is manifest that the equations in...
الصفحة 349 - For every free period of vibration (with a wave-length sufficiently large in comparison with the diameter of a molecule), there is a corresponding period (almost exactly, but not quite, coincident with it) of maximum dissipation for the incident waves.
الصفحة 68 - It has been proved that there are no rpgular integrals of the equation vanishing with t unless a is zero : and that, if a = 0, 'there exists a simple infinitude of regular integrals satisfying the equations. We proceed, not in the first place to the complete theorem but only to a partial theorem, by shewing that when a is not zero, there exists a simple infinitude of non-regular integrals vanishing with t, these integrals being regular functions of t and t log t : and when a is zero, these non-regular...
الصفحة 53 - The equations in 77, and ^ possess regular integrals vanishing with t, and their expression involves A, the arbitrary constant; and therefore the original equations in u and v possess no regular integrals vanishing with t, unless the condition represented by a = 0 be satisfied ; but if that condition be satisfied, they possess a simple infinitude of regular integrals vanishing with t. The conditions represented by a = 0 and...
الصفحة 145 - A piece of brass wire 6'6 centims. long, with a screw thread cut on it, was fixed to this stirrup at right angles to the plane of the mirror, projecting equally on either side of the mirror. Two small brass cylinders could be screwed along this brass wire, and by means of them the moment of inertia and time of swing of the needle could be adjusted as required. The stirrup and mirror weighed 6'6 grms. The galvanometer has a solid...
الصفحة 292 - ... the angle 2-y at the summit of the cone, which is now directed outwards, being very small, n will be given...