## Philosophical MagazineTaylor & Francis., 1898 - Physics |

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Page 235

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**substitution**which does not contain the first element of all the**substitutions**. As the groups remain simply isomorphic , and their corresponding**substitutions**coincide with respect to their first two elements , they must coincide ...Page 238

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**substitutions**, it and its associate have only one common**substitution**. The largest group of degree n which transforms R into all its cogredient iso- morphisms is of order n2 . Its subgroup which contains all its**substitutions**that do ...Page 239

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**substitutions**contains no two**substitutions**of the same degree . This group has • ( 2o - 2-1 ) ( 2a —1 ) ( 2a — 2 ) ( 2a — 22 ) ( 2a — 23 ) simple isomorphisms to itself . None of these except the identical can be obtained by ...### Contents

CONTENTS OF VOL XLV | 1 |

F Brush on the Transmission of Radiant Heat | 31 |

Mr W H Macaulay on the Stresses and Deflection | 42 |

38 other sections not shown

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accuracy acid adjusted æther alternating currents aluminium amperes angle apparatus axis bars bulb calculated cathodic rays cell centim centre charge circuit cloud coil condenser constant cooling copper corresponding curve cylinder deflection deflexion determined disk distance effect electric electrification electrodes electrodynamometer electrolyte electrometer electromotive force equal equation error experiments film gases girder give given glass heat Hence hydrogen inductor integral intensity isomorphisms J. J. Thomson light lines Lord Kelvin Lord Rayleigh magnetic force means measured mercury metal method millimetre minute motion mutual inductances nearly negative observed obtained oxygen particle Phil plane plate platinum position potential pressure radius reflector resistance scale self-induction simple isomorphisms solution sphere spherometer subgroup substitutions surface temperature tensions thermometer thickness tube variation velocity verre dur vertical waves wire x-rays zero zinc