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In other departments of physics may be mentioned his paper on the conduction of heat in crystals ( 1851 ) and his inquiries in connection with Crookes radiometer ; his explanation of the light border frequently noticed in photographs just outside the outline of a dark body seen against the sky ( 1883 ); and, still later, his theory of the x-rays, which he suggested might be transverse waves travelling as innumerable solitary waves, not in regular trains.
Two long papers published in 1840 — one on attractions and Clairaut's theorem, and the other on the variation of gravity at the surface of the earth — also demand notice, as do his mathematical memoirs on the critical values of sums of periodic series ( 1847 ) and on the numerical calculation of a class of definite integrals and infinite series ( 1850 ) and his discussion of a differential equation relating to the breaking of railway bridges ( 1849 ), research related to his evidence given to the Royal Commission on the Use of Iron in Railway structures after the Dee bridge disaster of 1847.

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