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 ; hence av SBds = 4e - ã = cos ...
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 ...
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 .
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 .
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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 |
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