Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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الصفحة
... represented his mathematical power. He laboured under the double disadvantage of advanced age, and of inability to submit entirely to the course of systematic training needed for the highest places in the Tripos. He was elected to a ...
... represented his mathematical power. He laboured under the double disadvantage of advanced age, and of inability to submit entirely to the course of systematic training needed for the highest places in the Tripos. He was elected to a ...
الصفحة 10
... representing the density of the electricity on an element do- of the surface, and r the distance between do and 11, any other point of the surface, the equation for determining p which would be employed in the ordinary method, when the ...
... representing the density of the electricity on an element do- of the surface, and r the distance between do and 11, any other point of the surface, the equation for determining p which would be employed in the ordinary method, when the ...
الصفحة 18
... . We have therefore efi'ected this in the last article, and the result of the comparison is of the moat satisfactory kind. GENERAL PRELIMINARY RESULTS. . THE function which represents the sum 18 nrrsonccroar cassava-nous.
... . We have therefore efi'ected this in the last article, and the result of the comparison is of the moat satisfactory kind. GENERAL PRELIMINARY RESULTS. . THE function which represents the sum 18 nrrsonccroar cassava-nous.
الصفحة 19
George Green. GENERAL PRELIMINARY RESULTS. . THE function which represents the sum of all the electric particles acting ... represent the values at the surface. 2—? General Preliminary Results Application of the preceding results to the ...
George Green. GENERAL PRELIMINARY RESULTS. . THE function which represents the sum of all the electric particles acting ... represent the values at the surface. 2—? General Preliminary Results Application of the preceding results to the ...
الصفحة 25
... represented by do", together with those represented by do", constitute the whole surface of the body, we have by adding ... represent the values at the surface of the body. troduced because a? and I; are measured in opposite directions ...
... represented by do", together with those represented by do", constitute the whole surface of the body, we have by adding ... represent the values at the surface of the body. troduced because a? and I; are measured in opposite directions ...
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