The London, Edinburgh and Dublin Philosophical Magazine and Journal of ScienceTaylor & Francis, 1894 |
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Page vi
... Quaternions .. 499 Proceedings of the Geological Society : - Mr. Alfred Harker on the Carrock Fell Gabbro Messrs . A. M. Davies and J. W. Gregory on the Geology of Monte Chaberton .. 501 ... 501 ... Mr. W. S. Gresley on Cone in Cone ...
... Quaternions .. 499 Proceedings of the Geological Society : - Mr. Alfred Harker on the Carrock Fell Gabbro Messrs . A. M. Davies and J. W. Gregory on the Geology of Monte Chaberton .. 501 ... 501 ... Mr. W. S. Gresley on Cone in Cone ...
Page 143
... quaternion q may be analysed into the pro- duct of a ratio and a versor ; by Uq is meant the versor . Let a denote ... quaternion . Let p denote such a quaternion ; when the multi- plier is removed we have Up = a ^ and therefore log Up ...
... quaternion q may be analysed into the pro- duct of a ratio and a versor ; by Uq is meant the versor . Let a denote ... quaternion . Let p denote such a quaternion ; when the multi- plier is removed we have Up = a ^ and therefore log Up ...
Page 151
... quaternion notation for the curl p , viz . Vvp , seems to interpose in the mind an operation , v , between p and its ... quaternions ; and this Mr. Heaviside always writes " div p . " For the same reason as before ( inconvenience in work ) ...
... quaternion notation for the curl p , viz . Vvp , seems to interpose in the mind an operation , v , between p and its ... quaternions ; and this Mr. Heaviside always writes " div p . " For the same reason as before ( inconvenience in work ) ...
Page 153
... Quaternions at all ; possibly he had no need to do so ; he employs simply Vector Analysis - Orthodox Vector Analysis , I shall call it , to indicate that it is in harmony with the general principles of Quaternions as enunciated by ...
... Quaternions at all ; possibly he had no need to do so ; he employs simply Vector Analysis - Orthodox Vector Analysis , I shall call it , to indicate that it is in harmony with the general principles of Quaternions as enunciated by ...
Page 154
... quaternion 9 from the equation q2 + aq + b = 0 , where a and b are given quaternions , is a perfectly legitimate exercise of thought , even though it has no application to telephony or to dynamo machines . The utility of associating the ...
... quaternion 9 from the equation q2 + aq + b = 0 , where a and b are given quaternions , is a perfectly legitimate exercise of thought , even though it has no application to telephony or to dynamo machines . The utility of associating the ...
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acid ampere amplitude angle apparatus axis Boyle's law calculated capillary carbon dioxide carbonic acid cell centim centimetre circuit Clark cell coefficient coil condensation constant copper corresponding curve cylinder deflexion density determined diameter dielectric discharge disk displacement distance effect electrical electrodes electromotive force energy equal equation experiments gabbro galvanometer gases gauge give given glass gutta-percha heat hydrogen increase induction iron J. J. Thomson layer length liquid magnetic maximum McLeod gauge means measured megohms mercury metal method metre millim mirror molecular molecules motion nitrogen observed obtained ohms oscillations oxygen paper particles Phil phosphorescence phosphorus plane plate poles position potential pressure prism Prof quantity quaternion radius ratio rays readings resistance rotation solution spectrum sun-heat surface surface-tension telephone temperature theory tion tube vapour velocity vibration volts volts volts volume wave-length waves wire zero