This question was treated by Stokes in his " Dynamical Theory of Diffraction " (Camb.
Formulae derived by Stokes (Camb.
Gwynn, Liber Ardmachanus; Whitley Stokes, The Tripartite Life of St Patrick (London, 1887); N.
Strutt, made him known over Europe; and his powers rapidly matured until, at the death of Clerk Maxwell, he stood at the head of British physicists, Sir George Stokes and Lord Kelvin alone excepted.
528; Stokes, Bezzenbergers Beifrdge, II, p. 113).
Three anonymous Latin lives were published by Colgan in his Trias Thaumaturga (Louvain, 1645), and there exists an 1 ith-century Irish life in three parts published by Whitley Stokes for the Rolls series (1887).
The original investigation of Stokes, here briefly sketched, extends also to the case where the streams are of unequal width h, k, and are separated by an interval 2g.
This result was employed by Stokes as a criterion of the direction of vibration; and his experiments, conducted with gratings, led him to the conclusion that the vibrations 2 = 2?rv d4)/ d o- = ra (32); (33) .
In order to apply these ideas to the investigation of the secondary wave of light, we require the solution of a problem, first treated by Stokes, viz.
The proportionality of the secondary disturbance to sin 43 is common to the present law and to that given by Stokes, but here there is no dependence upon the angle 0 between the primary and secondary rays.
The method of auscultation was soon introduced into England by pupils of Laennec. John Forbes (1787-1861) in 1824, and William Stokes (1804-1878) of Dublin in 1825, published treatises on the use of the stethoscope.
William Stokes (1804-1878) was especially known for his works on diseases of the chest and of the heart, and for his clinical teaching.
In heart disease the chief work of the latter half of the 19th century was, in the first quarter, such clinical work as that of William Stokes and Peter Mere Latham (1789-1875); and in the second quarter the fuller comprehension of the vascular system, central and peripheral, with its cycles and variations of blood pressure, venous and arterial.
The specific effect of boric acid in this respect was correctly ascertained by Stokes and Harcourt, but they mistook the effect of titanic acid.
(II) Thus cos 0 is the Stokes' function of a point source at 0, and Papb of a line source AB.
Again, since d4)/dv =d /ds, d4)/ds= - d4y/dv, (13) T = 1 p f(1 9 d = - 2 p f4' d (14) With the Stokes' function, y for motion symmetrical about an axis.
Taking Ox along OS, the Stokes' function at P for the source S is p cos PSx, and of the source H and line sink OH is p(a/f) cos PHx and - (p/a) (PO - PH); so that = p (cos PSx+f cos PHx PO a PH), (q) and Ili = -p, a constant, over the surface of the sphere, so that there is no flow across.
When S and S' lie on the same radius, taken along Ox, the Stokes' function can; be written down; and when S and S' coalesce a doublet is produced, with a doublet image at H.
For a doublet at S, of moment m, the Stokes' function is M f cos PSx = - m p s3; and for its image at H the Stokes' function is m f cos PHx =m f 3 PH" (6) so that for the comnation _ a3 I I 2 4)-myb12 (f 3 PH PS 3) =m f 3 (pa ll 3 P53)' 3 and this vanishes over the surface of the sphere.
There is no Stokes' function when the axis of the doublet at S does not pass through 0; the image system will consist of an inclined doublet at H, making an equal angle with OS as the doublet S, and of a parallel negative line doublet, extending from H to 0, of moment varying as the distance from O.
= constant, _ ff 00 NdA N BA-AA X - JA (a' +X) (b 2 +A)P - abc' a2 -b2 ' and at the surface A = o, I I N Bo-A 0 N I R - (a2+b2) abc a 2 -b 2 abc a2b2 I /b 2 N = R I /b2 - I /a2 abc I 1 I Bo - AO' a 2 b 2 - a2 b2 a 2 b2 = R (a 2 - b 2) /(a 22 + /b2) 2 - r (B o - Ao) U Bo+Co - B I - CI' Since - Ux is the velocity function for the liquid W' filling the ellipsoid A = o, and moving bodily with it, the effective inertia of the liquid in the interspace is Ao+B1+C1 Bo+Co - B1 - C, If the ellipsoid is of revolution, with b=c, - 2 XBo - - C BI' and the Stokes' current function 4, can be written down (I) is (5) (7) (6) The velocity function of the liquid inside the ellipsoid A=o due to the same angular velocity will be = Rxy (a2 - b2)/(a2 + b2), (7) and on the surface outside _ N Bo -Ao c1)0xy abc 2 62' so that the ratio of the exterior and interior value of at the surface is ?o= Bo-Ao (9) 4)1 (a 2 -6 2)/(a2 + b) - (Bo - Ao)' and this is the ratio of the effective angular inertia of the liquid, outside and inside the ellipsoid X = o.
Stokes (1846), and W.
Stokes and Sir W.
In like manner, after the French mathematicians had attempted, with more or less ingenuity, to construct a theory of elastic solids from the hypothesis that they consist of atoms in equilibrium under the action of their mutual forces, Stokes and others showed that all the results of this hypothesis, so far at least as they agreed with facts, might be deduced from the postulate that elastic bodies exist, and from the hypothesis that the smallest portions into which we can divide them are sensibly homogeneous.
In May 1889 Mwanga, aided by the trader Charles Stokes, approached Buganda by water, and after several bloody battles captured the capital, but shortly afterwards was again defeated, and Kalema and the Ba-Islamu reoccupied Mengo (the native capital).
Stokes showed that this effect is one of refraction, due to variation of velocity of the air from the surface upwards Brit.
Stokes, Proc. Roy.
Stokes, and which were published in the Proceedings of the Royal Society for 1855, that he discussed the mathematical theory of signalling through submarine cables, and enunciated the conclusion that in long cables the retardation due to capacity must render the speed of signalling inversely proportional to the square of the cable's length.
C. Stokes, The Microscope (Detroit, 1887-1888); C. Zelinka, Zeitschr.
Gabriel Stokes, C. H.
Gabriel Stokes (loc. cit.) and by E.
Stokes, Ireland and the Celtic Church, revised by H.
J.Angstrom in 1853, by Balfour Stewart in 1858; while Sir George Stokes held the solution of the problem in the irchhoff.
Stokes to occur in fluorescent bodies.
1858, pp. 81 ff.) sought to establish, is impossible (Whitley Stokes in Max Miller's Lectures, 1891, i.
The following are important references (kindly supplied by Dr Whitley Stokes) for detailed research :- R.