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Page 19
... cells in a crystal - like arrangement . It is evident that Johnny's ideas on a future theory of automata and organisms had roots that went back in time , but his more concrete ideas developed after his involvement with electronic ...
... cells in a crystal - like arrangement . It is evident that Johnny's ideas on a future theory of automata and organisms had roots that went back in time , but his more concrete ideas developed after his involvement with electronic ...
Page 53
... cells and rules for evolution at each cell ) and used them to simulate growth patterns on the computer . The experimental approach to mathe- matics has since become very popular and has tremendously enhanced our vision of complex ...
... cells and rules for evolution at each cell ) and used them to simulate growth patterns on the computer . The experimental approach to mathe- matics has since become very popular and has tremendously enhanced our vision of complex ...
Page 113
... cells . Nowadays many such processes are being investi- gated ; Conway's " game of life " is a popu- lar example . It is hoped that this approach will help us to understand certain quali- tative features of natural evolution . For ...
... cells . Nowadays many such processes are being investi- gated ; Conway's " game of life " is a popu- lar example . It is hoped that this approach will help us to understand certain quali- tative features of natural evolution . For ...
Page 170
... cells , and disordered interpenetration , such as occurs in a rapidly moving gas that contains sus- pended particles . Ordered we expect that when distinct entities interpenetrate a surrounding fluid the creation of turbulence is ...
... cells , and disordered interpenetration , such as occurs in a rapidly moving gas that contains sus- pended particles . Ordered we expect that when distinct entities interpenetrate a surrounding fluid the creation of turbulence is ...
Page 171
... cells can be analyzed by using the equations for ordered two - field interpenetration . Other applications include modeling of the flow within nuclear reactors and the analysis of shock - wave motion in a gas that contains suspended ...
... cells can be analyzed by using the equations for ordered two - field interpenetration . Other applications include modeling of the flow within nuclear reactors and the analysis of shock - wave motion in a gas that contains suspended ...
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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.