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Page 13
... consider one of the more im- portant results that I had a part in . While I was at Harvard , Johnny came to see me a few times , and I invited him to dinner at the Society of Fellows . We would also take automo- bile drives and trips ...
... consider one of the more im- portant results that I had a part in . While I was at Harvard , Johnny came to see me a few times , and I invited him to dinner at the Society of Fellows . We would also take automo- bile drives and trips ...
Page 15
... considering some questions ... He would try to elucidate other persons ' thoughts by asking questions in a Socratic manner , yet more con- cretely than in Plato's succession of problems . I think he had a supreme sense of the im ...
... considering some questions ... He would try to elucidate other persons ' thoughts by asking questions in a Socratic manner , yet more con- cretely than in Plato's succession of problems . I think he had a supreme sense of the im ...
Page 21
... consider a fairly good mathematician . According to her , Stein- haus replied : " C'est l'homme du monde qui pose le mieux les problèmes . " Apparently my repu- tation , such as it is , is founded on my ability to pose problems and to ...
... consider a fairly good mathematician . According to her , Stein- haus replied : " C'est l'homme du monde qui pose le mieux les problèmes . " Apparently my repu- tation , such as it is , is founded on my ability to pose problems and to ...
Page 29
... consider- able waste of time and funds . It is all but certain that the seed idea that finally worked was his own ... Considering how fast it all hap- pened , it is remarkable how seldom he misunderstood . Mathematicians felt put down ...
... consider- able waste of time and funds . It is all but certain that the seed idea that finally worked was his own ... Considering how fast it all hap- pened , it is remarkable how seldom he misunderstood . Mathematicians felt put down ...
Page 33
... consider such efforts to be un- deserving of credit - indeed he recog- nized them as essential to any practical outcome - but for the most part they were outside the range of his direct in- terest and personal style . He thought , and ...
... consider such efforts to be un- deserving of credit - indeed he recog- nized them as essential to any practical outcome - but for the most part they were outside the range of his direct in- terest and personal style . He thought , and ...
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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.