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Page 2
... Approaches MATHEMATICS The Spirit of Play - A Memoir for Stan Ulam by David Hawkins Probability and Nonlinear Systems by R. Daniel Mauldin Part I : Introduction Excerpts from The Scottish Book Part II : A Tutorial on Probability ...
... Approaches MATHEMATICS The Spirit of Play - A Memoir for Stan Ulam by David Hawkins Probability and Nonlinear Systems by R. Daniel Mauldin Part I : Introduction Excerpts from The Scottish Book Part II : A Tutorial on Probability ...
Page 11
... approaches . From him I learned much about the attitudes and psy- chology of research . Sometimes we would sit for hours in a coffee house . He would write just one symbol or a line like y = f ( x ) on a piece of paper , or on the ...
... approaches . From him I learned much about the attitudes and psy- chology of research . Sometimes we would sit for hours in a coffee house . He would write just one symbol or a line like y = f ( x ) on a piece of paper , or on the ...
Page 18
... approach to igni- tion Teller suggests a related approach and presents it to the General Advi- sory Committee 1951-52 Fall semester : Visiting Professor at Harvard Begins serious discussions of cellular automata with von Neumann 1952 ...
... approach to igni- tion Teller suggests a related approach and presents it to the General Advi- sory Committee 1951-52 Fall semester : Visiting Professor at Harvard Begins serious discussions of cellular automata with von Neumann 1952 ...
Page 33
... approach to obtaining a thermonuclear explosion came in sight . Very quickly the whole program of the Los Alamos Laboratory was redirected to the prob- lems involved in this new approach . From the theoretical point of view , the new ...
... approach to obtaining a thermonuclear explosion came in sight . Very quickly the whole program of the Los Alamos Laboratory was redirected to the prob- lems involved in this new approach . From the theoretical point of view , the new ...
Page 36
... . m ( A ) 20 ты m maps pay disfor A. B. me m ( A + B ) = m ( 4 1011000 7710 1 : 01 : 0 1.00 /// 01 / 02 / 1 / 1 / ! O 오역 이 이 녀요 0 99 . tan Ulam , at sixty - five ,. 36 The Ulam Legacy-Interdisciplinary Approaches MATHEMATICS.
... . m ( A ) 20 ты m maps pay disfor A. B. me m ( A + B ) = m ( 4 1011000 7710 1 : 01 : 0 1.00 /// 01 / 02 / 1 / 1 / ! O 오역 이 이 녀요 0 99 . tan Ulam , at sixty - five ,. 36 The Ulam Legacy-Interdisciplinary Approaches MATHEMATICS.
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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.