Proceedings of the Royal Society of London: Mathematical and physical sciences, Volume 92Harrison and Son, 1916 |
Contents
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Common terms and phrases
acid alkali ampères anode apparatus approximately atom axis benzene Bunsen flame cadmium calculated carbon cathode charge coefficients collision column constant copper copper ferrocyanide corresponding curve cylinder determined diagram diameter distance earth effect electric electromotive force electrons energy equation error experiments F.R.S. Received ferrocyanide fluid force formula frequency function given gives Hence hydrogen ignition increase inductor integral ionisation J. J. Thomson kilom limit Lord Rayleigh magnesium magnetic Martin's Lane maximum mean value measured membrane mercury metal method Minutes molecules motion observations obtained osmotic pressure P₂ paper particles Phil pipe plane poles position potential pressure Proc Prof quartz radiation radius ratio represents ROYAL SOCIETY shells shown signal solution spark spectrum surface temperature thallium theory tube variometer velocity volts volume wave-length zero zinc zinc vapour
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Page 363 - The generality aimed at by Hobson requires the use of advanced mathematical methods. I have thought that a simpler derivation, sufficient for practical purposes and more within the reach of physicists with a smaller mathematical equipment, may be useful. It had, indeed, been worked out independently. The series, of which Laplace's expression constitutes the first term, is arithmetically useful only when nd is at least moderately large.
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Page 363 - Pn(#), when n is very large, was given by Laplace. The subject has been treated with great generality by Hobson, who has developed the complete series proceeding by descending powers of n, not only for Pn, but also for the "associated functions.
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