Mathematical Papers of the Late George GreenMacmillan, 1871 - 336 من الصفحات |
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الصفحة 5
... potential functions , and by means of an equation in variable differences , which may immediately be obtained from the one given in our tenth article , serving to express the relation between the two potential functions arising from any ...
... potential functions , and by means of an equation in variable differences , which may immediately be obtained from the one given in our tenth article , serving to express the relation between the two potential functions arising from any ...
الصفحة 9
... function , and will therefore , for abridgement , call it the potential function arising from the system S. If p be a particle of positive electricity under the influence of forces arising from any electrified body , the function in ...
... function , and will therefore , for abridgement , call it the potential function arising from the system S. If p be a particle of positive electricity under the influence of forces arising from any electrified body , the function in ...
الصفحة 10
... potential functions thence arising , that we have been enabled to submit many electrical phenomena to calculation , which had hitherto resisted the attempts of analysts ; and the generality of the consideration here employed , ought ...
... potential functions thence arising , that we have been enabled to submit many electrical phenomena to calculation , which had hitherto resisted the attempts of analysts ; and the generality of the consideration here employed , ought ...
الصفحة 27
... function V be such , that it becomes infinite for any point p " within the body , and is moreover , sensibly equal ... potential functions thence arising , within and with- out this surface . For this , let pdo be the quantity of electricity ...
... function V be such , that it becomes infinite for any point p " within the body , and is moreover , sensibly equal ... potential functions thence arising , within and with- out this surface . For this , let pdo be the quantity of electricity ...
الصفحة 32
... function as we have supposed U to be ; conceive the surface to be a per- fect conductor put in communication with the earth , and a unit of positive electricity to be concentrated in the point p ' , then the total potential function arising ...
... function as we have supposed U to be ; conceive the surface to be a per- fect conductor put in communication with the earth , and a unit of positive electricity to be concentrated in the point p ' , then the total potential function arising ...
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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