Mathematical Papers of the Late George GreenMacmillan, 1871 - 336 من الصفحات |
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الصفحة vii
... formula of this paper to the case of nature by supposing n = 3 . The next paper , " On the Motion of Waves in a variable canal of small depth and width , " though short , is interesting . It was read before the Cambridge Philosophical ...
... formula of this paper to the case of nature by supposing n = 3 . The next paper , " On the Motion of Waves in a variable canal of small depth and width , " though short , is interesting . It was read before the Cambridge Philosophical ...
الصفحة 26
... formula must undergo , when one of the functions , U for example , becomes infinite within the body ; and let us suppose it to do so in one point p ' only moreover , infinitely near this point let U be sensibly equal to ; r being the ...
... formula must undergo , when one of the functions , U for example , becomes infinite within the body ; and let us suppose it to do so in one point p ' only moreover , infinitely near this point let U be sensibly equal to ; r being the ...
الصفحة 29
... formula ( 2 ) of the same article to the space between the surface of the body and this imaginary exterior surface ( seeing that here U has no singular value ) - = do [ do ( dv ) = São V d dw since the part due to the infinite surface ...
... formula ( 2 ) of the same article to the space between the surface of the body and this imaginary exterior surface ( seeing that here U has no singular value ) - = do [ do ( dv ) = São V d dw since the part due to the infinite surface ...
الصفحة 33
... formula just given shall satisfy the equation 0 = SV . For , the value of V at any point p whose co - ordinates are x , y , z , deduced from the assumed value of V , by the above written formula , is do ATV = fde V ( du ) , U being the ...
... formula just given shall satisfy the equation 0 = SV . For , the value of V at any point p whose co - ordinates are x , y , z , deduced from the assumed value of V , by the above written formula , is do ATV = fde V ( du ) , U being the ...
الصفحة 35
... formula dU V = 1 fdov ( du ) = - [ ão ( p ) V , 4π dw shall always give V = V , for any point within the surface and infinitely near it , whatever may be the assumed value of V. For this , suppose the point p to approach infinitely near ...
... formula dU V = 1 fdov ( du ) = - [ ão ( p ) V , 4π dw shall always give V = V , for any point within the surface and infinitely near it , whatever may be the assumed value of V. For this , suppose the point p to approach infinitely near ...
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