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Page 17
... applications of probability theory and in the mechanics of con- tinua . [ Both ideas required extensive machine computation . ] MADE IN USSR Computing machines came about through the confluence of scientific and technological devel ...
... applications of probability theory and in the mechanics of con- tinua . [ Both ideas required extensive machine computation . ] MADE IN USSR Computing machines came about through the confluence of scientific and technological devel ...
Page 21
... applications of pure mathematics are and can be ... He was one of Steinhaus's best students . [ In 1964 ] I met Gian - Carlo Rota , a mathe- matician who is almost a quarter - century younger than I ... Our relationship is not built on ...
... applications of pure mathematics are and can be ... He was one of Steinhaus's best students . [ In 1964 ] I met Gian - Carlo Rota , a mathe- matician who is almost a quarter - century younger than I ... Our relationship is not built on ...
Page 22
... Applications of Mathematics of the National Research Council , the Visiting Commmittee for Mathematics and the Visiting Committee for Applied Mathematics of Harvard University , the Gibbs Lecture Committee of the American Mathematical ...
... Applications of Mathematics of the National Research Council , the Visiting Commmittee for Mathematics and the Visiting Committee for Applied Mathematics of Harvard University , the Gibbs Lecture Committee of the American Mathematical ...
Page 28
... applications in the theory of neutron diffusion , an essential step in the understanding of nuclear reactions . These reports were never published , but they nevertheless had a decisive in- fluence on the development of what is still a ...
... applications in the theory of neutron diffusion , an essential step in the understanding of nuclear reactions . These reports were never published , but they nevertheless had a decisive in- fluence on the development of what is still a ...
Page 29
... application for the device was jointly submitted by Teller and Ulam . ) The Democrats soon saw their advantage in adopting Ulam as a bulwark against the Republicans , who had Teller on their side . He was invited to sit in on important ...
... application for the device was jointly submitted by Teller and Ulam . ) The Democrats soon saw their advantage in adopting Ulam as a bulwark against the Republicans , who had Teller on their side . He was invited to sit in on important ...
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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.