Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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... coefficient. It is of course possible to adapt the formula of this paper to the case of nature by supposing n = 3. The next paper, “ On the Motion of Waves in a variable canal of small depth and width," though short, is interesting. It ...
... coefficient. It is of course possible to adapt the formula of this paper to the case of nature by supposing n = 3. The next paper, “ On the Motion of Waves in a variable canal of small depth and width," though short, is interesting. It ...
الصفحة
... coefficients above mentioned, called respectively A and B, are shown to be proportional to the squares of the velocities of propagation of normal and transverse} vibrations respectively. It is to be regretted that the statical ...
... coefficients above mentioned, called respectively A and B, are shown to be proportional to the squares of the velocities of propagation of normal and transverse} vibrations respectively. It is to be regretted that the statical ...
الصفحة 12
... coefficients of V' = can be infinite when p is exterior to the surface A, and when p is at an infinite distance from A, V' is equal to zero. These two conditions combined with the partial difi'erential equa— tion in V', are sufiieient ...
... coefficients of V' = can be infinite when p is exterior to the surface A, and when p is at an infinite distance from A, V' is equal to zero. These two conditions combined with the partial difi'erential equa— tion in V', are sufiieient ...
الصفحة 20
... coefficients of some of the elements which enter into Vbecoming infinite, it does not therefore necessarily follow that V satisfies the equation. o=su. although each of its elements, considered separately, may do so. In order to determine ...
... coefficients of some of the elements which enter into Vbecoming infinite, it does not therefore necessarily follow that V satisfies the equation. o=su. although each of its elements, considered separately, may do so. In order to determine ...
الصفحة 87
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المحتوى
6 | |
19 | |
42 | |
netism Mathematical Investigations concerning the Imw of the Equi | 83 |
othersimilarresearches On the Determination of the Exterior and Interior Attractions 117 | 117 |
of Ellipsoids of Variable Densities On the Motion of Waves in a variable canal of small depth | 185 |
and width On the Reflexion and Refraction of Sound 223 | 223 |
On the Laws of the Reflexion and Refraction of Light at | 245 |
Note on the Motion of Waves in Canals | 273 |
Supplement to a Memoir on the Reflexion and Refraction | 281 |
On the Propagation of Light in crystallized Media | 291 |
Researches on the Vibration of Pendulums in Fluid Media | 315 |
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angle of incidence applicable axes axis becomes belonging centre coefficients coeflicients coercive force conceive condition conducting bodies conductor consequently constant quantity contained corresponding density determine difi'erent difi'erential direction distance electric fluid electrified element ellipsoid entire function equal to zero equilibrium evidently expression find finite integrals first place fixed formula give given Hence homogeneous function induced infinitely small influence inner sphere integral extending interior luminiferous ether magnetic medium method Moreover motion neglecting obtain parallel partial differential equation perfect conductors perpendicular plane plane wave polar co-ordinates positive potential function arising preceding propagation quantity of electricity radius rational and entire rectangular co-ordinates reflected wave refracted wave represent satisfied shell sphere substituted suppose surface of junction term theory tion total potential function tricity triple integrals vanish variable velocity vibrations whole wire