Philosophical Transactions of the Royal Society of London: Containing papers of a mathematical or physical character. Series A, Volumes 214-215

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The Society, 1915 - Electronic journals
 

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Page vii - Body, never interesting themselves any further in their publication, than by occasionally recommending the revival of them to some of their Secretaries, when, from the particular circumstances of their affairs, the Transactions had happened for any length of time to be intermitted. And this seems principally to have been done with a view to satisfy the Public, that their usual meetings were then continued, for the improvement of knowledge, and benefit of mankind, the great ends of their first institution...
Page vii - It is likewise necessary on this occasion to remark, that it is an established rule of the Society, to which they will always adhere, never to give their opinion, as a Body, upon any subject, either of Nature or Art, that comes before them.
Page 3 - ... is the height through which an eddy moves from the layer at which it was at the same temperature as its surroundings, to the layer with which it mixes.
Page 13 - The average value of w'(z0 — z) can be expressed in the form \(wd), where d is the average height through which an eddy moves before mixing with its surroundings and w' roughly represents the average vertical velocity in places where w
Page 23 - ... criterion shown in fig. 60 appears, however, to indicate that in the atmosphere the limiting value of expression (115) above is unity. The above discussion has no application to purely dynamical stability. Rayleigh* considered the stability of laminated steady motion in which the undisturbed velocity U is parallel to the axis of x, and is a function of z, with the vorticity changing suddenly from one layer to another. He discussed the effect of superposing a small disturbing velocity of a simple...
Page 268 - It was the start of Fourier analysis, and my father used it to get some idea of the distribution of scattering matter in the atoms. To sum up then the achievements of this first period from 1912 to 1920: (a) The wavelength of X-rays had been established.
Page 268 - The scries of spectra which we obtain for any given set of crystal planes may be considered as indicating the existence of separate harmonic terms. We may even conceive the possibility of discovering from their relative intensities the actual distribution of the scattering centres, electrons and nucleus, in the atom; but it would be premature to expect too much until all other causes of the variations of intensity have been allowed for, such as the effects of temperature, and the like.
Page 268 - If we know the nature of the periodic variation of the density of the medium we can analyse it by Fourier's method into a series of harmonic terms. The medium may be looked on as compounded of a series of harmonic media, each of which will give the medium the power of reflecting at one angle. The series of spectra which we obtain for any given set of crystal planes may be considered as indicating the existence of separate harmonic terms. We may even conceive the possibility of discovering from their...
Page 313 - D pressing against a flat ledge.* The end of the gauge from D to E is a good fit in the walls of the explosion chamber, and the joint is thus protected from the direct effect of the explosion. The spring S, about 5 inches in length, is tubular in shape. To prevent any buckling, it is made to closely fit the cylinder, in which it is contained, at two places, e± and <?a.
Page 11 - It seems natural to suppose that eddies will transfer not only the heat and water vapour, but also the momentum of the layer in which they originated to the layer with which they mix.

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