Los Alamos ScienceThe Laboratory - Science |
From inside the book
Results 1-5 of 76
Page 15
... dynamics of a more classical kind - kinematics , statistical mechanics , large - scale motion problems , hydro- dynamics , behavior of radiation ... Compared to quantum theory the project work was like applied mathematics as compared ...
... dynamics of a more classical kind - kinematics , statistical mechanics , large - scale motion problems , hydro- dynamics , behavior of radiation ... Compared to quantum theory the project work was like applied mathematics as compared ...
Page 65
... dynamic systems that are valid only for almost all initial conditions . One final remark : The notion or concept of measure is surely close to the most primitive intuition . The axiom of choice , that simply permits one to consider a ...
... dynamic systems that are valid only for almost all initial conditions . One final remark : The notion or concept of measure is surely close to the most primitive intuition . The axiom of choice , that simply permits one to consider a ...
Page 97
... DYNAMICS OF ITERATION T : x = x2 + 3x1 x2 + 3x2x2 + 3x3x2 + 6X1X2X3 x2 = x2 + x3 + 3x2x2 + 3x3x2 X3 = 3x1x2 ( a ) 0.4 ( b ) 0.2 Fixed Point 0.0 0.4 0.6 0.8 S exact number turned out to be 9370 , arrived at by a more complicated ...
... DYNAMICS OF ITERATION T : x = x2 + 3x1 x2 + 3x2x2 + 3x3x2 + 6X1X2X3 x2 = x2 + x3 + 3x2x2 + 3x3x2 X3 = 3x1x2 ( a ) 0.4 ( b ) 0.2 Fixed Point 0.0 0.4 0.6 0.8 S exact number turned out to be 9370 , arrived at by a more complicated ...
Page 99
... dynamics . Several other messes have been classified as strange attractors by present - day criteria , the main one being sensitive dependence on initial conditions . That is , a limit set is a strange attractor if any two points within ...
... dynamics . Several other messes have been classified as strange attractors by present - day criteria , the main one being sensitive dependence on initial conditions . That is , a limit set is a strange attractor if any two points within ...
Page 106
... dynamics . Physical Review Letters 56 : 999-1002 . J. D. Louck and N. Metropolis . 1986. Symbolic Dynamics of Trapezoidal Maps . Dordrecht , Holland : D. Reidel Publishing Co. Learning from Ulam • Measurable Cardinals Ergodicity ...
... dynamics . Physical Review Letters 56 : 999-1002 . J. D. Louck and N. Metropolis . 1986. Symbolic Dynamics of Trapezoidal Maps . Dordrecht , Holland : D. Reidel Publishing Co. Learning from Ulam • Measurable Cardinals Ergodicity ...
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.