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Page 12
... Force 1941-43 Assistant Professor at University of Wisconsin [ At the Institute ] I went to lectures and semi- nars , heard Morse , Veblen , Alexander , Einstein , and others , but was surprised how little people talked to each other ...
... Force 1941-43 Assistant Professor at University of Wisconsin [ At the Institute ] I went to lectures and semi- nars , heard Morse , Veblen , Alexander , Einstein , and others , but was surprised how little people talked to each other ...
Page 15
... force - that is , more realistic , massive numerical work ... With the available computing facilities , the accuracy of the necessary numerical work could not be sat- isfactory . This was one of the first reasons for pressing for the ...
... force - that is , more realistic , massive numerical work ... With the available computing facilities , the accuracy of the necessary numerical work could not be sat- isfactory . This was one of the first reasons for pressing for the ...
Page 19
... force but having , in ad- dition , a physically correct small non - linear term . Our problem turned out to have been felic- itously chosen . The results were entirely dif- ferent qualitatively from what even Fermi , with his great ...
... force but having , in ad- dition , a physically correct small non - linear term . Our problem turned out to have been felic- itously chosen . The results were entirely dif- ferent qualitatively from what even Fermi , with his great ...
Page 20
... Force committees . Also , in some circles I became regarded as Teller's opponent , and I suspect I was consulted as a sort of coun- terweight . Some of these political activities in- cluded my stand on the Test Ban Treaty ... The ...
... Force committees . Also , in some circles I became regarded as Teller's opponent , and I suspect I was consulted as a sort of coun- terweight . Some of these political activities in- cluded my stand on the Test Ban Treaty ... The ...
Page 22
... Force General Twining's Space Research Com- mittee , IBM Corporation , General Atomic Cor- poration , North American Aviation Corporation , Hycon Corporation , and other organizations . Building in Lwów in which the Ulam family resided ...
... Force General Twining's Space Research Com- mittee , IBM Corporation , General Atomic Cor- poration , North American Aviation Corporation , Hycon Corporation , and other organizations . Building in Lwów in which the Ulam family resided ...
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Popular passages
Page 299 - Talibus orabat dictis, arasque tenebat, cum sic orsa loqui vates : ' Sate sanguine divom, 125 Tros Anchisiade, facilis descensus Averno ; noctes atque dies patet atri janua Ditis ; sed revocare gradum superasque evadere ad auras, hoc opus, hie labor est.
Page 231 - But it is not always so; it may happen that small differences in the initial conditions produce very great ones in the final phenomena. A small error in the former will produce an enormous error in the latter. Prediction becomes impossible, and we have the fortuitous phenomenon.
Page 210 - The low-velocity equation of state for a lattice gas can be written as p - ^p (l - |v2), where p is the pressure, p is the density, and v is the flow speed.
Page 316 - Southeastern Conference on Combinatorics. Graph Theory, and Computing (Florida Atlantic University, Boca Raton, Florida, April 2-6, 1979), 3-18.
Page 121 - He is a member of the National Academy of Sciences and a Fellow of the American Academy of Arts and Sciences, the American Physical Society and the American Association for the Advancement of Science.
Page 231 - A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance. If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of that same universe at a succeeding moment. But even if it were the case that the natural laws...
Page 224 - Instead, we conclude by remarking that really efficient high-speed computing devices may, in the field of non-linear partial differential equations as well as in many other fields, which are now difficult or entirely denied of access, provide us with those heuristic hints which are needed in all parts of mathematics for genuine progress.
Page 272 - Let us say here that the results of our computations show features which were, from the beginning, surprising to us. Instead of a gradual, continuous flow of energy from the first mode to the higher modes, all of the problems show an entirely different behavior.
Page 58 - That was dramatized by Bertrand, who considered the problem of finding the probability that a chord of a circle chosen "at random" be longer than the side of an equilateral triangle inscribed in the circle.