Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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الصفحة 10
... integral relative to do extending over the whole surface A, and the second representing the function whose complete differential is Xda+ Ydy + st, x, y and a being the co-ordinates of p. This equation is supposed to subsist, whatever ...
... integral relative to do extending over the whole surface A, and the second representing the function whose complete differential is Xda+ Ydy + st, x, y and a being the co-ordinates of p. This equation is supposed to subsist, whatever ...
الصفحة 11
... integral, are essentially distinct functions of x, y, and z, the rectangular ... integral of the partial difl'erential equation ought to contain two arbitrary ... extending over the whole surface, and (p) being a quantity dependent upon ...
... integral, are essentially distinct functions of x, y, and z, the rectangular ... integral of the partial difl'erential equation ought to contain two arbitrary ... extending over the whole surface, and (p) being a quantity dependent upon ...
الصفحة 12
... integral, as before, extending over the whole surface A, and (p) being a quantity dependent upon the respective position of p and do. It only remains therefore to find a function V' which satisfies the partial difi'crential equation ...
... integral, as before, extending over the whole surface A, and (p) being a quantity dependent upon the respective position of p and do. It only remains therefore to find a function V' which satisfies the partial difi'crential equation ...
الصفحة 23
... integrals extending over the whole interior of the body, and those relative to do, over its surface, of which ... integral fdxdy'l' GENERAL PRELIMINARY assunrs. 23.
... integrals extending over the whole interior of the body, and those relative to do, over its surface, of which ... integral fdxdy'l' GENERAL PRELIMINARY assunrs. 23.
الصفحة 24
... integral, which in the present case are on the surface of the body, over whose interior the triple integrals are supposed to extend. Let us now consider the part fdydz V'% due to the greater values of m. It is easy to see since the is ...
... integral, which in the present case are on the surface of the body, over whose interior the triple integrals are supposed to extend. Let us now consider the part fdydz V'% due to the greater values of m. It is easy to see since the is ...
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