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Page 13
... human- ities and arts ... So I found Madison not at all the intellectual desert I had feared it would be ... I was given a light teaching load ... But the very expression ... implied physical effort and fatigue - two things I have ...
... human- ities and arts ... So I found Madison not at all the intellectual desert I had feared it would be ... I was given a light teaching load ... But the very expression ... implied physical effort and fatigue - two things I have ...
Page 21
... human affairs . I became involved in the work on the atomic bomb , then in the work on the hydrogen bomb , but most of my life has been spent in more theoretical realms . Vita BOULDER SANTA FE 1974-84 Winter trimesters : Graduate ...
... human affairs . I became involved in the work on the atomic bomb , then in the work on the hydrogen bomb , but most of my life has been spent in more theoretical realms . Vita BOULDER SANTA FE 1974-84 Winter trimesters : Graduate ...
Page 29
... human condi- tions , laziness , taken by itself , is neutral . It is a catchall that conceals a tension of opposites . Fata ducunt , non trahunt . Ulam turned his laziness into elegance in mathematics and into grand seigneur behavior in ...
... human condi- tions , laziness , taken by itself , is neutral . It is a catchall that conceals a tension of opposites . Fata ducunt , non trahunt . Ulam turned his laziness into elegance in mathematics and into grand seigneur behavior in ...
Page 50
... Human- istic Aspects of Science ( Harcourt Brown , editor , 1958 ) , The Language of Nature : An Essay in the Philosophy of Science ( 1964 ) , The Informed Vision : Essays on Learning and Human Nature ( 1974 ) , and The Science and ...
... Human- istic Aspects of Science ( Harcourt Brown , editor , 1958 ) , The Language of Nature : An Essay in the Philosophy of Science ( 1964 ) , The Informed Vision : Essays on Learning and Human Nature ( 1974 ) , and The Science and ...
Page 91
... human eye . Stan could not imagine that something so complex could have evolved by random processes in the time available , even granting the effect of natural selection . Neither of us , however , could think of a practicable ...
... human eye . Stan could not imagine that something so complex could have evolved by random processes in the time available , even granting the effect of natural selection . Neither of us , however , could think of a practicable ...
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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.