Mathematical Papers of the Late George GreenMacmillan, 1871 - 336 من الصفحات |
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الصفحة 5
... belonging to each of the two spheres under con- sideration , and thence the general expression of the electric density on the surface of either , together with their actions on any exterior point . I am not aware of any material ...
... belonging to each of the two spheres under con- sideration , and thence the general expression of the electric density on the surface of either , together with their actions on any exterior point . I am not aware of any material ...
الصفحة 18
... belonging to an indefinitely extended plate of uniform thickness . From these it follows , that when the point p , and the centres of the magnetic forces are situate on opposite sides of a soft iron plate of great extent , the total ...
... belonging to an indefinitely extended plate of uniform thickness . From these it follows , that when the point p , and the centres of the magnetic forces are situate on opposite sides of a soft iron plate of great extent , the total ...
الصفحة 22
... belonging to the system , and it will evidently be a function of the co - ordi- nates of the particle p under consideration . ( 2. ) It has been long known from experience , that whenever the electric fluid is in a state of equilibrium ...
... belonging to the system , and it will evidently be a function of the co - ordi- nates of the particle p under consideration . ( 2. ) It has been long known from experience , that whenever the electric fluid is in a state of equilibrium ...
الصفحة 27
... belonging to the functions U and V. For abridgment , we shall in what follows , call those sin- gular values of a given function , where its differential coefficients become infinite , and the condition originally imposed upon U and V ...
... belonging to the functions U and V. For abridgment , we shall in what follows , call those sin- gular values of a given function , where its differential coefficients become infinite , and the condition originally imposed upon U and V ...
الصفحة 28
... belong , and at the surface itself , we shall have V = V ' the horizontal lines over the quantities indicating that they be- long to the surface . At an infinite distance from this surface , we shall likewise have V ' = 0 . We will now ...
... belong , and at the surface itself , we shall have V = V ' the horizontal lines over the quantities indicating that they be- long to the surface . At an infinite distance from this surface , we shall likewise have V ' = 0 . We will now ...
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angle angle of incidence ax+by+ct axes axis becomes belonging centre coefficients conducting bodies consequently constant quantity corresponding density determine direction distance dv dw dx dx dx dy dz dx dz dx² dy dx dy dy dz dx electric fluid element ellipsoid entire function equal to zero equilibrium evidently exact differential expression exterior finite formula give given Hence induced integral extending interior luminiferous ether magnetic medium Moreover motion obtain partial differential equation particles perfect conductor perpendicular plane preceding quantity of electricity radius rational and entire rectangular co-ordinates refracted wave represent shell sphere spherical substituted suppose surface of junction term theory tion total potential function tricity V₁ variable velocity vibrations wave's front wire µ² µ³ аф