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 9
... axis of the time falls completely within the stars of the * Liouville , Journ . de Math . , 3me Sér . , t . iv . ( 1875 ) , pp . 5—54 . The quantities ♪ and h ^ ) ( ô ) have the same significance as in the formula ( 5 ) . μ VOL . XVIII ...
... axis of the time falls completely within the stars of the * Liouville , Journ . de Math . , 3me Sér . , t . iv . ( 1875 ) , pp . 5—54 . The quantities ♪ and h ^ ) ( ô ) have the same significance as in the formula ( 5 ) . μ VOL . XVIII ...
الصفحة 10
... axis is contained in the stars of the functions ps , the centre being t = 0 , new forms of the integrals of these ... axis x of fixed points , is not zero . Then being the angle which the plane mx makes with a fixed plane through x , and ...
... axis is contained in the stars of the functions ps , the centre being t = 0 , new forms of the integrals of these ... axis x of fixed points , is not zero . Then being the angle which the plane mx makes with a fixed plane through x , and ...
الصفحة 11
... axis is not included within the stars of the coordinates , but the imaginary axis is always completely included . That is to say , M. Mittag - Leffler's expansions will be valid for imaginary values of the time even if they are not so ...
... axis is not included within the stars of the coordinates , but the imaginary axis is always completely included . That is to say , M. Mittag - Leffler's expansions will be valid for imaginary values of the time even if they are not so ...
الصفحة 108
... axis of T. It will be seen that the " Periodograph " corresponds exactly to the curve which represents the distribution of energy in the spectrum . The treatment of a few special cases will render this clear , and lead gradually up to ...
... axis of T. It will be seen that the " Periodograph " corresponds exactly to the curve which represents the distribution of energy in the spectrum . The treatment of a few special cases will render this clear , and lead gradually up to ...
الصفحة 111
... axis of T , the distance between the two lines being inversely proportional to the number of ordinates . CASE 5. The function is given in the form of an irregular curve which satisfies the condition that there is a definite law of ...
... axis of T , the distance between the two lines being inversely proportional to the number of ordinates . CASE 5. The function is given in the form of an irregular curve which satisfies the condition that there is a definite law of ...
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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...