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

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Page 179

Z In finding the mean value of ß over the sphere we must double this value , for to each value of $ and there correspond two elements of the surface of the sphere which contribute equally to the integral ;

Z In finding the mean value of ß over the sphere we must double this value , for to each value of $ and there correspond two elements of the surface of the sphere which contribute equally to the integral ;

**hence**av SBds = 4e - ã = cos ...Page 235

**Hence**, every simple isoinorphism of R to itself inay be obtained by writing after each substitution of R its transform with respect to a given substitution which does not contain an arbitrary element of R. All the substitutions which ...Page 236

**Hence**it cannot exceed the order of G diminished by unity . If an isomorphism of Ĝ to itself can be obtained by transforming it with respect to one of its own substitutions , it is said to be cogredient .### What people are saying - Write a review

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### Contents

m FIFTH SERIES | 1 |

Mr W Sutherland on the Relative Motion of the Earth | 23 |

F Brush on the Transmission of Radiant Heat | 31 |

42 other sections not shown

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adjusted apparatus appear apply approximately bars becomes bulb calculated cell centre charge circuit coil compared conductivity considerable constant containing cooling copper correction corresponding curve described determined direction distance effect electric equal equation error experiments expression field force gases give given glass greater heat Hence hydrogen increase inductances integral intensity length less light lines liquid magnetic means measured mercury metal method minutes motion nature nearly negative object observed obtained ordinary passing Phil placed plane plate positive possible potential practically present pressure produced range rays represented resistance respectively scale seen shown side similar simple solution standard substitutions suppose surface taken temperature theory thermometer thickness tube variation vary vertical volume waves wire zero zinc