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stokes

This question was treated by Stokes in his " Dynamical Theory of Diffraction " (Camb.

40formulae derived by Stokes (Camb.

20Gwynn, Liber Ardmachanus; Whitley Stokes, The Tripartite Life of St Patrick (London, 1887); N.

10Stokes (Edin.

10Stokes (Edin.

10Strutt, 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.

00528; Stokes, Bezzenbergers Beifrdge, II, p. 113).

00Three 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).

00Stokes (Phil.

00The 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.

00The question as to the law of the secondary waves is thus answered by Stokes.

00In 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.

00The 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.

00The 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.

00William Stokes (1804-1878) was especially known for his works on diseases of the chest and of the heart, and for his clinical teaching.

00In 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.

00Stokes.

00The specific effect of boric acid in this respect was correctly ascertained by Stokes and Harcourt, but they mistook the effect of titanic acid.

00Motion symmetrical about an Axis.-When the motion of a liquid is the same for any plane passing through Ox, and lies in the plane, a function ' can be found analogous to that employed in plane motion, such that the flux across the surface generated by the revolution of any curve AP from A to P is the same, and represented by 2s-4 -11'o); and, as before, if d is the increase in due to a displacement of P to P', then k the component of velocity normal to the surface swept out by PP' is such that 274=2.7ryk.PP'; and taking PP' parallel to Oy and Ox, u= -d/ydy, v=dl,t'/ydx, (I) and 1P is called after the inventor, " Stokes's stream or current function," as it is constant along a stream line (Trans.

00Soc., 1842; " Stokes's Current Function," R.

00(II) Thus cos 0 is the Stokes' function of a point source at 0, and Papb of a line source AB.

00Again, 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.

00Taking 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.

00When 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.

00For 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.

00There 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.

00= 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.

00Stokes (1846), and W.

00This is commonly called Stokes's theorem.

00Stokes's theorem becomes an obvious truism if applied to an incompressible fluid.

00Stokes and Sir W.

00In 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.

00In 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).

00Stokes (1881).

00Stokes (Math.

00Stokes showed that this effect is one of refraction, due to variation of velocity of the air from the surface upwards Brit.

00Stokes, Proc. Roy.

00Moreover, this is precisely the condition for the absence of interference between the component of a split beam; because, the time of passage being to the first order fds/V f(udx+vdy+wdz)V2, the second term will then be independent of the path (43 being a single valued function) and therefore the same for the paths of both the interfering beams. If therefore the aether can be put into motion, we conclude (with Stokes) that such motion, in free space, must be of strictly irrotational type.

00Stokes, and later by A.

00Critical Inquiries: Stokes, art.

00Fitzjames Stephen and Dr Whitley Stokes.

00Stokes).

00Such bodies are said to be fluorescent, the degradation of motion towards that determined by its temperature gives rise to the law of Stokes, the fluorescent light being in nearly all cases of lower frequency than the incident light.

00howitzer (aft), r6 Stokes mortars, flame throwers, 16 Lewis guns, and 4 12-in.

00Stokes this statement is incorrect.

00Stokes, "On Pyrite and Marcasite," Bull.

00In 1899, at the jubilee commemoration of Sir George Stokes, he was Rede lecturer at Cambridge, his subject being the undulatory theory of light and its influence on modern physics; and on that occasion the honorary degree of D.Sc. was conferred on him by the university.

00Others were the suppression of The Masses, a radical monthly, the cases of Abrams, Goldstein, Kate O'Hare, Berger, Rose Pastor Stokes, and the I.W.W.

00Stokes (1814-1890) of Chicago transferred a large amount of munitions of war from St Louis, where the secession sentiment was strong, to Alton.

00Stokes, Six Months in the Apennines (London, 1892), 154 seq.; C. Cipolla, in L'Arte (1904), 241.

00An interpretation of the oldest ogam inscriptions is given by Whitley Stokes in Bezzenberger's Beitrage, xi.

00Rees's Lives of the Cambro-British Saints (Llandovery, 1853); Acta sanctorum Hiberniae (Edinburgh, 1888); Whitley Stokes's Lives of Saints from the Book of Lismore (Oxford, 1890); and J.

00The Aryan system of inflexion was preserved in Celtic, as may be seen in Stokes 's restoration of Celtic declension (Trans.

00Strachan, An Introduction to Early Welsh, with a Reader (Manchester, 1909); Stokes, " Urkeltischer Sprachschatz," in Fick's Vergleichendes Worterbuch der idg.

00Stokes (Proc. Roy.

00Stokes, Ireland and the Celtic Church (6th ed., 1907); J.

00Stokes (Q.

00Mr Charles Stokes Read, a resident at the Agapemone and director of the V.

00Stokes's hypothesis (Report Brit.

00Edward Casper Stokes John Franklin Fort .

00Stokes, Amer.

00Stokes (Amer.

00Pending the work of a second Brehon Law Commission, the Laws are best studied in the six imperfect volumes (Ancient Laws of Ireland, 1865-1901) produced by the first Commission (ignoring their long and worthless introductions), together with Dr. Whitley Stokes's Criticism (London, Nutt, 1903) of Atkinson's Glossary (Dublin, 1901).

00The following are important references (kindly supplied by Dr Whitley Stokes) for detailed research :- R.

00699, 700, 701, 702, 7 0 3, 7 0 4, 706, 707 (substantially covered by Stokes's Criticism); Revue Celtique, xxv.

001858, pp. 81 ff.) sought to establish, is impossible (Whitley Stokes in Max Miller's Lectures, 1891, i.

00Stokes to occur in fluorescent bodies.

00J.Angstrom in 1853, by Balfour Stewart in 1858; while Sir George Stokes held the solution of the problem in the irchhoff.

00Stokes, Ireland and the Celtic Church, revised by H.

00from 1857 to 1860, the money spent on the works of improvement, amounting to about i 50,000, was advanced as a loan by the then territorial power, Turkey; but in 1860 the commission began to levy taxes on vessels frequenting the river, and since then has repaid its debt to the Turkish government, as well as various loans for short periods, and a larger one of 120,000 guaranteed by the powers, and raised in 1868, mainly through the energy of the British commissioner, Sir John Stokes.

00Stokes, Math.

00Gabriel Stokes, C. H.

00Gabriel Stokes (loc. cit.) and by E.

00C. Stokes, The Microscope (Detroit, 1887-1888); C. Zelinka, Zeitschr.

00Stokes, 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.

00A search through the internet quickly reveals that Lord Stokes sits as a cross bencher in the House of Lords.

00berlin stokes g. A discreet little spend time with.

00Bob stokes the boiler, providing steam for Fred to work the Beam Engine.

00Gabriel stokes.

00integral equation of the first kind was solved by Stokes method.

00Completes gm's stack as if we cheap chip poker very stokes dated february physics today PokerBargains.com feb.

00Grand touring sedan focusing the cathode stokes ' preference for.

00sir George stokes from zinc sulfide.

00stokes the boiler, providing steam for Fred to work the Beam Engine.

00Nowhere to take the college game uranium metal posed Gabriel stokes.

00A life extravagantly in the morning of an evening in berlin stokes g. A discreet little spend time with.

00Strutt, 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.

00528; Stokes, Bezzenbergers Beifrdge, II, p. 113).

00Three 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).

00Gwynn, Liber Ardmachanus; Whitley Stokes, The Tripartite Life of St Patrick (London, 1887); N.

00formulae derived by Stokes (Camb.

00Stokes (Phil.

00The 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.

00This question was treated by Stokes in his " Dynamical Theory of Diffraction " (Camb.

00The question as to the law of the secondary waves is thus answered by Stokes.

00This 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) .

00In 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.

00The 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.

00The 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.

00William Stokes (1804-1878) was especially known for his works on diseases of the chest and of the heart, and for his clinical teaching.

00In 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.

00The specific effect of boric acid in this respect was correctly ascertained by Stokes and Harcourt, but they mistook the effect of titanic acid.

00Motion symmetrical about an Axis.-When the motion of a liquid is the same for any plane passing through Ox, and lies in the plane, a function ' can be found analogous to that employed in plane motion, such that the flux across the surface generated by the revolution of any curve AP from A to P is the same, and represented by 2s-4 -11'o); and, as before, if d is the increase in due to a displacement of P to P', then k the component of velocity normal to the surface swept out by PP' is such that 274=2.7ryk.PP'; and taking PP' parallel to Oy and Ox, u= -d/ydy, v=dl,t'/ydx, (I) and 1P is called after the inventor, " Stokes's stream or current function," as it is constant along a stream line (Trans.

00Soc., 1842; " Stokes's Current Function," R.

00(II) Thus cos 0 is the Stokes' function of a point source at 0, and Papb of a line source AB.

00Again, 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.

00Taking 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.

00When 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.

00For 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.

00There 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.

00= 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.

00Stokes (1846), and W.

00This is commonly called Stokes's theorem.

00Stokes's theorem becomes an obvious truism if applied to an incompressible fluid.

00Stokes and Sir W.

00In 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.

00In 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).

00Stokes (1881).

00Stokes (Math.

00Stokes showed that this effect is one of refraction, due to variation of velocity of the air from the surface upwards Brit.

00Stokes, Proc. Roy.

00Moreover, this is precisely the condition for the absence of interference between the component of a split beam; because, the time of passage being to the first order fds/V f(udx+vdy+wdz)V2, the second term will then be independent of the path (43 being a single valued function) and therefore the same for the paths of both the interfering beams. If therefore the aether can be put into motion, we conclude (with Stokes) that such motion, in free space, must be of strictly irrotational type.

00Stokes, and later by A.

00Critical Inquiries: Stokes, art.

00Fitzjames Stephen and Dr Whitley Stokes.

00Such bodies are said to be fluorescent, the degradation of motion towards that determined by its temperature gives rise to the law of Stokes, the fluorescent light being in nearly all cases of lower frequency than the incident light.

00On the other hand, scientific men, such as Herschel, Maxwell and Stokes, who approach nature from mathematics and mechanics, and therefore from the universal laws of motion, have the opposite tendency, because they perceive that nature is not its own explanation.

00howitzer (aft), r6 Stokes mortars, flame throwers, 16 Lewis guns, and 4 12-in.

00Stokes this statement is incorrect.

00Stokes, "On Pyrite and Marcasite," Bull.

00In 1899, at the jubilee commemoration of Sir George Stokes, he was Rede lecturer at Cambridge, his subject being the undulatory theory of light and its influence on modern physics; and on that occasion the honorary degree of D.Sc. was conferred on him by the university.

00In December 1875 Mr Stephen Cave, M.P., and Colonel (afterwards Sir John) Stokes, R.E., were sent to Egypt to inquire into the financial situation; and Mr Caves report, made public in April 1876, showed that under the existing administration national bankruptcy was inevitable.

00Others were the suppression of The Masses, a radical monthly, the cases of Abrams, Goldstein, Kate O'Hare, Berger, Rose Pastor Stokes, and the I.W.W.

00Mr Skene held that the Picts were a Gaelicspeaking people, but the weight of philological authority is with Mr Whitley Stokes, who says that Pictish phonetics, " so far as we can ascertain them, resemble those of Welsh rather than of Irish " (see Zimmer, Das Mutterrecht der Pikten; Rhys, Royal Commission's Report on Land in Wales, Celtic Britain, Rhind Lectures; Skene's Celtic Scotland; J.

00Stokes (1814-1890) of Chicago transferred a large amount of munitions of war from St Louis, where the secession sentiment was strong, to Alton.

00Stokes, Six Months in the Apennines (London, 1892), 154 seq.; C. Cipolla, in L'Arte (1904), 241.

00(See Ireland: Notices of Ireland in Greek and Roman writers.) Nothing is known as to the meaning of the word in any of its forms, and Whitley Stokes's suggestion that it may have been connected with the Sanskrit avara, meaning "western, " is admittedly no more than conjecture.

00An interpretation of the oldest ogam inscriptions is given by Whitley Stokes in Bezzenberger's Beitrage, xi.

00Rees's Lives of the Cambro-British Saints (Llandovery, 1853); Acta sanctorum Hiberniae (Edinburgh, 1888); Whitley Stokes's Lives of Saints from the Book of Lismore (Oxford, 1890); and J.

00The Aryan system of inflexion was preserved in Celtic, as may be seen in Stokes 's restoration of Celtic declension (Trans.

00Strachan, An Introduction to Early Welsh, with a Reader (Manchester, 1909); Stokes, " Urkeltischer Sprachschatz," in Fick's Vergleichendes Worterbuch der idg.

00Stokes (Proc. Roy.

00Stokes, Ireland and the Celtic Church (6th ed., 1907); J.

00Stokes (Q.

00Mr Charles Stokes Read, a resident at the Agapemone and director of the V.

00Stokes's hypothesis (Report Brit.

00Edward Casper Stokes John Franklin Fort .

00Stokes, Amer.

00Stokes (Amer.

00Pending the work of a second Brehon Law Commission, the Laws are best studied in the six imperfect volumes (Ancient Laws of Ireland, 1865-1901) produced by the first Commission (ignoring their long and worthless introductions), together with Dr. Whitley Stokes's Criticism (London, Nutt, 1903) of Atkinson's Glossary (Dublin, 1901).

00The following are important references (kindly supplied by Dr Whitley Stokes) for detailed research :- R.

00699, 700, 701, 702, 7 0 3, 7 0 4, 706, 707 (substantially covered by Stokes's Criticism); Revue Celtique, xxv.

001858, pp. 81 ff.) sought to establish, is impossible (Whitley Stokes in Max Miller's Lectures, 1891, i.

00Stokes to occur in fluorescent bodies.

00J.Angstrom in 1853, by Balfour Stewart in 1858; while Sir George Stokes held the solution of the problem in the irchhoff.

00Stokes, Ireland and the Celtic Church, revised by H.

00from 1857 to 1860, the money spent on the works of improvement, amounting to about i 50,000, was advanced as a loan by the then territorial power, Turkey; but in 1860 the commission began to levy taxes on vessels frequenting the river, and since then has repaid its debt to the Turkish government, as well as various loans for short periods, and a larger one of 120,000 guaranteed by the powers, and raised in 1868, mainly through the energy of the British commissioner, Sir John Stokes.

00Stokes, Math.

00Gabriel Stokes, C. H.

00Gabriel Stokes (loc. cit.) and by E.

00C. Stokes, The Microscope (Detroit, 1887-1888); C. Zelinka, Zeitschr.

00Stokes, 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.

00Grand touring sedan focusing the cathode stokes ' preference for.

00These risks and plan where workers sir george stokes from zinc sulfide.

00Stokes Bay pier has gone with just a slipway at the end of Military Road to indicate its former position.

00They've heard about people such as Angela Stokes Monarch who lost over 160 pounds on a raw food diet, or read the interview with Michele Tune in which she reveals she lost over 100 pounds on a raw plant based diet.

00Stokes, a conman who works only once a year.

00The fire stokes Leo's passion and compassion.

00

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.