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Page 11
... discussions were interspersed with a great deal of talk about science in general ( especially physics and astronomy ) , university gossip , politics , the state of affairs in Poland ; or to use one of John von Neumann's favorite ...
... discussions were interspersed with a great deal of talk about science in general ( especially physics and astronomy ) , university gossip , politics , the state of affairs in Poland ; or to use one of John von Neumann's favorite ...
Page 12
... discussion of math- ematical problems , he turned to me and said , " There is an organization at Harvard called the ... discuss problems concerning the idea of " category " of sets . " Category " is a notion in a way parallel to but less ...
... discussion of math- ematical problems , he turned to me and said , " There is an organization at Harvard called the ... discuss problems concerning the idea of " category " of sets . " Category " is a notion in a way parallel to but less ...
Page 15
... discussion with von Neumann ... [ in ] early 1944 took several hours , and concerned ways to calculate the course of an implosion more realistically than the first attempts outlined by him and his collaborators . The hydrodynami- cal ...
... discussion with von Neumann ... [ in ] early 1944 took several hours , and concerned ways to calculate the course of an implosion more realistically than the first attempts outlined by him and his collaborators . The hydrodynami- cal ...
Page 16
... discussions , even- ing gatherings , social family visits and dinner parties , was when a group of us would play poker about once a week . The group included Metropo- lis , Davis , Calkin , Flanders , Langer , Long , Kono- pinski , von ...
... discussions , even- ing gatherings , social family visits and dinner parties , was when a group of us would play poker about once a week . The group included Metropo- lis , Davis , Calkin , Flanders , Langer , Long , Kono- pinski , von ...
Page 17
... discuss the possibilities of using computers heuristically to try to obtain insights into questions of pure ... discussions with Bradbury and then with Gamow , Teller , and myself about the feasibility of constructing a " super . " This ...
... discuss the possibilities of using computers heuristically to try to obtain insights into questions of pure ... discussions with Bradbury and then with Gamow , Teller , and myself about the feasibility of constructing a " super . " This ...
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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.