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Page 3
... Sequence Analysis - Contributions by Ulam to Molecular Genetics by Walter B. Goad 288 Part III The Ulam Touch - Unpublished Items A Memorable Memo by J. Carson Mark and S. M. Ulam Sub Rosa - A Trialogue by S. M. Ulam Conversations with ...
... Sequence Analysis - Contributions by Ulam to Molecular Genetics by Walter B. Goad 288 Part III The Ulam Touch - Unpublished Items A Memorable Memo by J. Carson Mark and S. M. Ulam Sub Rosa - A Trialogue by S. M. Ulam Conversations with ...
Page 38
... another form when Walter Goad takes up the question of “ alikeness " of DNA sequences in the biology section of " The Ulam Legacy . " the Spirit of Play a memoir for Stan Ulam by 38 Los Alamos Science Special Issue 1987 Mathematics.
... another form when Walter Goad takes up the question of “ alikeness " of DNA sequences in the biology section of " The Ulam Legacy . " the Spirit of Play a memoir for Stan Ulam by 38 Los Alamos Science Special Issue 1987 Mathematics.
Page 40
... sequence of probabilities { Po , P1 , P2 , ... } . ( That is , let f ( x ) be the function to which the infinite series po + P1x + P2x2 + + ... converges . ) Then the probability that Jones has k grandsons ( or k second - generation ...
... sequence of probabilities { Po , P1 , P2 , ... } . ( That is , let f ( x ) be the function to which the infinite series po + P1x + P2x2 + + ... converges . ) Then the probability that Jones has k grandsons ( or k second - generation ...
Page 41
... sequence of probabilities Amale { Po Pi P2 , ... } = { 0.4825 , 0.2126 , 0.2126 ( 0.5893 ) , 0.2126 ( 0.5893 ) 2 , ... } . Assuming that this sequence is also applicable to American males of later generations , we can treat the ...
... sequence of probabilities Amale { Po Pi P2 , ... } = { 0.4825 , 0.2126 , 0.2126 ( 0.5893 ) , 0.2126 ( 0.5893 ) 2 , ... } . Assuming that this sequence is also applicable to American males of later generations , we can treat the ...
Page 43
... sequences that were more or less prime - like in their frequency and distribution . It was a flanking maneuver : If you can't solve the original problem , think of others that resemble it , and may be easier . Some of Stan's schemes ...
... sequences that were more or less prime - like in their frequency and distribution . It was a flanking maneuver : If you can't solve the original problem , think of others that resemble it , and may be easier . Some of Stan's schemes ...
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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.