Looking over such famous old books as Montmort's 'Analyse des jeux de hasard' or Moivre's 'Doctrine of Chances' one regrets that so much excellent mathematics should have been wasted on games most of which are wholly obsolete. Coriolus in his '[Théorie Mathématique des Effets du] Jeu de billard' (1835) fared better, for the game is still very much alive and its dynamical terrors unsubdued.
American physicist (1856-1935)
(February 19, 1856 – September 20, 1935) was an American physicist and the maternal great-uncle of the American novelist Kurt Vonnegut. He was dean of the Brown University Graduate Department from 1903 until his retirement in 1926. In 1905 he became a corresponding member of Britain, a member of the First International Congress of Radiology and Electricity at Brussels, and a member of the Physical Society. Beginning in 1906 he was on the advisory board of physics at the Carnegie Institution in Washington state. He died in Providence, Rhode Island, U.S.A.
From: Wikiquote (CC BY-SA 4.0)
Showing quotes in randomized order to avoid selection bias. Click Popular for most popular quotes.
The reviewer is aware... he has given an imperfect account of this remarkable book. That Klein's researches constitute a splendid advance in dynamics of the rotation of a rigid body there can be no question. One cannot but hope that the outline given in these Princeton lectures may soon be expanded and put in shape more easily assimilated by persons more moderately versed in the theory of elliptic functions.
Unlimited Quote Collections
Organize your favorite quotes without limits. Create themed collections for every occasion with Premium.
In even greater measure is this true of the top. The top has been everybody's toy and must, therefore, at one time or another have piqued everybody's curiosity. Lagrange, Poinsot, Jacobi, not to mention other great names, have in turn paid their tribute; yet the top may be set spinning to-day, unhampered by a completed theory to account for its evolutions.
The lecture concludes with a demonstration showing that a free body in hyperbolic non Euclidean space may be so fashioned as in real time to carry out the actual motions of the top. The form of such a body and the forces to actuate it are specified. Klein lays great stress on the beauty of this generalization. ...The full geometry of this case is not carried out in these lectures, however, and Klein regrets that the development of the s has recently fallen into abeyance.
A man may be a thoroughgoing soldier enough on land; but put him in the foot ropes of the flying jibboom in a storm, and he is apt to cut a most ludicrous figure. Shift a physicist's foothold of Cartesian differential coordinates, suspend him over an abyss of non-Euclidean space, and he will kick sturdily. Poor policy this, for a missionary!
[T]he rooms which had been placed at my disposal by the American Museum of New York became temporarily unavailable. ...[W]e determined to rent a house in New Haven, Conn., and thither the laboratory was removed in November, 1882. ...[T]he city offered excellent library and other facilities for scientific work, such as can be met only in the immediate vicinity of a large university [Yale College]. ...The work in New Haven was not satisfactorily completed. In July, 1883, with the appointment of Prof. F. W. Clarke as chief chemist of the Geological Survey, our laboratory was officially connected with the chemical laboratory. Conformably with the further decision of the Director, by which the divers laboratories of the Geological Survey were united in one central laboratory in Washington, it was again necessary to change our basis of operations, this time... from New Haven to Washington. In the quarters assigned to us in the U. S. National Museum, temperature work on so large a scale... appeared impracticable, and it was therefore abandoned. ...In place of the dangerous and cumbersome apparatus of the former laboratory, the endeavor is made to reduce all apparatus to the smallest dimensions compatible with reasonable accuracy of measurement.
[F]ew important steps in dynamical geology will be made until the methods for the accurate measurement of high temperatures and high pressures have not only been perfected but rendered easily available. On the basis of this conviction the present memoir on high temperatures has been prepared... [I]f the investigation be of any fullness, it is almost essential that the observer master the component parts of his research separately; and not until he has satisfactorily done this can he apply them conjointly.
Turning to Klein's little book, one is astonished in finding the most general aspects of the subject treated almost without computation and in so little space. ...It would have cost little to give the expanded form of the σ-function. ...Weierstrass's original notation was in terms of Abelian functions. The tremendous development of s is out of proportion with their application to natural phenomena. Meeting them rarely one forgets them. Memory peters out like the infinite series of a ζ-function.
Mathematicians will do well to observe that a reasonable acquaintance with theoretical physics at its present stage of development, to mention only such broad subjects as electricity, elastics, hydrodynamics, etc., is as much as most of us can keep permanently assimilated. It should also be remembered that the step from the formal elegance of theory to the brute arithmetic of the special case is always humiliating, and that this labor usually falls to the lot of the physicist.
I develop a method for the direct and expeditious comparison of the thermo-couple with the air thermometer. A comparison of the data... gives me a criterion of the accuracy with which the data in the region of high temperature are known. This indirect method... is not apparently as rigorous as their direct evaluation by means of the air thermometer; but the indirect method requires much smaller quantities of substance and may be conveniently extended to much higher temperatures. Taking all liabilities to error into consideration, its inferior accuracy is only apparent.
I make... a cursory survey of certain pyro-electric properties of the alloys of . Curiously... the data... led to a striking result.. it appears that the zero resistance <math>f(0)</math>, if the resistance at <math>t^O</math> be <math>r = f(t)</math>, and the zero coefficient <math>f^{\prime}(0)/f(0)</math>, are related to each other by a law which during the stages of low percentage alloying is independent of the ingredients of the alloy, except in so far as they modify its electrical conductivity.
[L]et me refer to my original work. Naturally, if a student has been hammering away ever since 1979... he must have accumulated a lot of litter, much of which, perhaps, should have long since been swept away. But the fates are not to be bribed either by pother or importunity. Out of 1,000 men who are called, one (probably the ratio is much smaller) is chosen to do glorious scientific work. The others? Their lot is failure. They may be equally or even more industrious, they may have equal or even greater brain power—the other 999 exist merely to make the illustrious one in whom they culminate, possible. After that, the world will say to each in words of poetic brevity: "The man has done his duty, the man can go." And they do, pretty quickly, to a gentler lethe, flowing between the banks of amaranth and asphodel.
Gentlemen, I am one of the 999 about to be forgotten.