Los Alamos ScienceThe Laboratory - Science |
From inside the book
Results 1-5 of 100
Page 26
... cause it works back to improve the same reality we are trying to evade . All other escapes - love , drugs , hob- bies , whatever - are ephemeral by com- parison . The mathematician's feeling of triumph , as he forces the world to obey ...
... cause it works back to improve the same reality we are trying to evade . All other escapes - love , drugs , hob- bies , whatever - are ephemeral by com- parison . The mathematician's feeling of triumph , as he forces the world to obey ...
Page 48
... cause of the increase in the number of shared female ancestors . An = N 1 N = 100 - ( 1 s - k in a total of ( ) ( ) ways . To obtain qk , this number is then divided by ( ~ ) , the total number of ways of choosing the s - element set ...
... cause of the increase in the number of shared female ancestors . An = N 1 N = 100 - ( 1 s - k in a total of ( ) ( ) ways . To obtain qk , this number is then divided by ( ~ ) , the total number of ways of choosing the s - element set ...
Page 93
... causes type ( u , v ) to give rise to types ( u + 1 , v ) and ( u , v + 1 ) with probability . ) We performed very many numerical experiments on the systems represented by Eq . 7 , varying and using special sets of coefficients ...
... causes type ( u , v ) to give rise to types ( u + 1 , v ) and ( u , v + 1 ) with probability . ) We performed very many numerical experiments on the systems represented by Eq . 7 , varying and using special sets of coefficients ...
Page 100
... cause a remarkable change in the appearance of a messy limit set ( Fig . 9 ) . Points may start to cohere , forming a pattern of disjoint arcs . Further decrease of 8 may lead to a periodic limit set of finite order , which persists ...
... cause a remarkable change in the appearance of a messy limit set ( Fig . 9 ) . Points may start to cohere , forming a pattern of disjoint arcs . Further decrease of 8 may lead to a periodic limit set of finite order , which persists ...
Page 112
... cause it involved a topological impossi- bility . It was replaced by a quasi - ergodic hypothesis that some streamline passes arbitrarily close to all points of phase space . But it is not obvious that even this weak hypothesis is ...
... cause it involved a topological impossi- bility . It was replaced by a quasi - ergodic hypothesis that some streamline passes arbitrarily close to all points of phase space . But it is not obvious that even this weak hypothesis is ...
Common terms and phrases
AIDS Alamos National Laboratory Alamos Science antibodies armor attractor average Boltzmann brain calculations ceramic coherent structures collision complex described distribution dynamical systems effects ergodic hypothesis evolution example extinction finite flow fluid fractal function genome graphs growth immune infected cells initial interactions iteration kinetic energy large numbers lattice gas limit Los Alamos lymphocytes macrophages material mathematicians mathematics mean-flow measure method molecules momentum Monte Carlo Monte Carlo method motion Navier-Stokes equations Neumann neutron nuclear weapons number infected parameters particles pattern penetrator phase space physics population probability problem properties proteins random receptive field regions Reynolds number risk behavior ROTA scale sequence simple simulations solitons solution Soviet species Stan Ulam Stan's statistical mechanics T4 cells theorem theory tion turbulence Ulam's University variables velocity viral virions virus viruses viscosity visual wave
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.