Mathematical Papers of the Late George GreenMacmillan, 1871 - 336 من الصفحات |
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الصفحة vi
... term potential was first introduced to denote the result obtained by adding together the masses of all the particles of a system , each divided by its distance from a given point . In this essay , which is divided into three parts , the ...
... term potential was first introduced to denote the result obtained by adding together the masses of all the particles of a system , each divided by its distance from a given point . In this essay , which is divided into three parts , the ...
الصفحة 65
... terms , the assumed value of V ' will be V ' = = U ( 0 ) U ( 1 ) r .2 ; r being the distance of p ' from the origin of the co - ordinates , and U , U " , & c . functions of the two other polar co - ordinates and w . This expression by ...
... terms , the assumed value of V ' will be V ' = = U ( 0 ) U ( 1 ) r .2 ; r being the distance of p ' from the origin of the co - ordinates , and U , U " , & c . functions of the two other polar co - ordinates and w . This expression by ...
الصفحة 84
... terms after U ( 0 ) 212 in the expression just given will be exceedingly small compared with this , by neglecting them , therefore , and substituting for U1 its most general value , we obtain U ( 1 ) Ax ' + By + Cz ' V = ' 2 13 A , B ...
... terms after U ( 0 ) 212 in the expression just given will be exceedingly small compared with this , by neglecting them , therefore , and substituting for U1 its most general value , we obtain U ( 1 ) Ax ' + By + Cz ' V = ' 2 13 A , B ...
الصفحة 99
... term , in which i = 1 , and the corresponding value of D being ( 1 + g- 9 α the total potential function within the shell is ጥ - ( 1 - g ) ( 1 + 2g ) U ( 1 ) 1 + g - 2g3 1 + g - 2g f.x. 1 + g - 2g2 a We therefore see that the effect ...
... term , in which i = 1 , and the corresponding value of D being ( 1 + g- 9 α the total potential function within the shell is ጥ - ( 1 - g ) ( 1 + 2g ) U ( 1 ) 1 + g - 2g3 1 + g - 2g f.x. 1 + g - 2g2 a We therefore see that the effect ...
الصفحة 100
... term U is a quantity of the order ( a - b ) . substituting for r its value in u , Moreover , by ( a - b ) p11 = ( a - b ) ( a − b + u ) + 1 = - e 1 -i - 1 iu - == a ; a 1 neglecting such quantities as are of the order compared with a ...
... term U is a quantity of the order ( a - b ) . substituting for r its value in u , Moreover , by ( a - b ) p11 = ( a - b ) ( a − b + u ) + 1 = - e 1 -i - 1 iu - == a ; a 1 neglecting such quantities as are of the order compared with a ...
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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