Los Alamos ScienceThe Laboratory - Science |
From inside the book
Results 1-5 of 100
Page 11
... variables , a gen- eral study of the spaces of functions , a general idea of the notions of length , area and volume , that is to say , the concept of measure and the for- mulation of what should be called probability . Panorama of Lwów ...
... variables , a gen- eral study of the spaces of functions , a general idea of the notions of length , area and volume , that is to say , the concept of measure and the for- mulation of what should be called probability . Panorama of Lwów ...
Page 26
... variables were the most brilliant he ever delivered ( some former students still cherish the notes they took of that course ) . G. D. Birkhoff , the ranking Harvard mathematician and the absolute monarch of American mathematics , took a ...
... variables were the most brilliant he ever delivered ( some former students still cherish the notes they took of that course ) . G. D. Birkhoff , the ranking Harvard mathematician and the absolute monarch of American mathematics , took a ...
Page 40
... variable that can take on the values i = 0 , 1 , 2 , ... with probability p ;. ( That is , po is the probability that the neutrons from a single fission induce no further fissions , P1 is the probability that they induce one further ...
... variable that can take on the values i = 0 , 1 , 2 , ... with probability p ;. ( That is , po is the probability that the neutrons from a single fission induce no further fissions , P1 is the probability that they induce one further ...
Page 42
... variables corresponds to multiplication of their generating functions . What could one say about other arithmetical operations - division , say , or the logarithm - when random variables take the place of simple numbers ? Consider the ...
... variables corresponds to multiplication of their generating functions . What could one say about other arithmetical operations - division , say , or the logarithm - when random variables take the place of simple numbers ? Consider the ...
Page 43
... variable ( call it G ) ; it is described by the exponential distribution , whose generating function g ( x ) is A e- " x " du = A / A Inx ) . Now F and G are reciprocals of each other . What then is the relation between ƒ and g , the ...
... variable ( call it G ) ; it is described by the exponential distribution , whose generating function g ( x ) is A e- " x " du = A / A Inx ) . Now F and G are reciprocals of each other . What then is the relation between ƒ and g , the ...
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.