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Page 3
... Simple Hexagonal Model : Theory and Simulations Calculations Using Lattice Gas Techniques by Tsutomu Shimomura , Gary Doolen , Brosl Hasslacher , and Castor Fu Part III : The Promise of Lattice Gas Methods Reynolds Number and Lattice ...
... Simple Hexagonal Model : Theory and Simulations Calculations Using Lattice Gas Techniques by Tsutomu Shimomura , Gary Doolen , Brosl Hasslacher , and Castor Fu Part III : The Promise of Lattice Gas Methods Reynolds Number and Lattice ...
Page 20
... simple calcula- tion shows that this would be more efficient than expelling the products of chemical reactions . I became involved with two such projects ... The first was Project Rover , a nuclear - reactor rocket which was being ...
... simple calcula- tion shows that this would be more efficient than expelling the products of chemical reactions . I became involved with two such projects ... The first was Project Rover , a nuclear - reactor rocket which was being ...
Page 27
... simple calculations with orders of magnitude . In fact , he turned out to be better at that game than just about anyone around him . It is hard to overstate how rare such an ability is in a mathematician . The literalness of mathematics ...
... simple calculations with orders of magnitude . In fact , he turned out to be better at that game than just about anyone around him . It is hard to overstate how rare such an ability is in a mathematician . The literalness of mathematics ...
Page 37
... simple question into a bona fide mathematical problem is evident in the mathematics articles presented here . Also evident is his pioneering interest in the use of computers for what he called heuristic studies in mathematics and ...
... simple question into a bona fide mathematical problem is evident in the mathematics articles presented here . Also evident is his pioneering interest in the use of computers for what he called heuristic studies in mathematics and ...
Page 40
... simple solution ( Hawkins and Ulam 1944 ) . A lot of algebraic solvent evaporated and left behind an unexpected little crystal of a formula , the sort of outcome that makes you ask why it hadn't been obvious all along . Let f ( x ) be ...
... simple solution ( Hawkins and Ulam 1944 ) . A lot of algebraic solvent evaporated and left behind an unexpected little crystal of a formula , the sort of outcome that makes you ask why it hadn't been obvious all along . Let f ( x ) be ...
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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.