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Page 11
1 ATOMIC ENERGY COMMISSION NAME LOS ALAMOS FIELD OFFICE LOS ALAMOS. Kuratowski and a photo of Banach , circa 1968 It was Mazur ( along with Kuratowski and Ba- nach ) who introduced me to certain large phases of mathematical thinking and ...
1 ATOMIC ENERGY COMMISSION NAME LOS ALAMOS FIELD OFFICE LOS ALAMOS. Kuratowski and a photo of Banach , circa 1968 It was Mazur ( along with Kuratowski and Ba- nach ) who introduced me to certain large phases of mathematical thinking and ...
Page 14
ATOMIC ENERGY COMMISSION NAME LOS ALAMOS FIELD OFFICE LOS ALAMOS , N. M Stanislaw M. ULAM 6 59 56 EMPLOYER DATE OF BIRTH 4-13-09 Grn . 178 U of C R EYES HEIGHT 53- Vita LOS ALAMOS 1943 Receives invitation to join the Man- hattan Project ...
ATOMIC ENERGY COMMISSION NAME LOS ALAMOS FIELD OFFICE LOS ALAMOS , N. M Stanislaw M. ULAM 6 59 56 EMPLOYER DATE OF BIRTH 4-13-09 Grn . 178 U of C R EYES HEIGHT 53- Vita LOS ALAMOS 1943 Receives invitation to join the Man- hattan Project ...
Page 24
... fields of mea- sure theory , set theory , and functional analysis , which at the time required very little ... field of al- gebraic topology . While chatting at the Scottish Café with Borsuk , an out- standing Warsaw topologist ...
... fields of mea- sure theory , set theory , and functional analysis , which at the time required very little ... field of al- gebraic topology . While chatting at the Scottish Café with Borsuk , an out- standing Warsaw topologist ...
Page 30
... fields where no one dared to tread , where he would be sure of having the first shot , free from all fear of having been anticipated . He used to brag about being lucky . But the source of his luck was his boundless intellectual courage ...
... fields where no one dared to tread , where he would be sure of having the first shot , free from all fear of having been anticipated . He used to brag about being lucky . But the source of his luck was his boundless intellectual courage ...
Page 38
... field of logic and set theory , took this opportunity to introduce to the non- mathematician two of Ulam's formidable contributions to pure mathematics ; first his measurable cardinals , which allow one to talk about orders of infinity ...
... field of logic and set theory , took this opportunity to introduce to the non- mathematician two of Ulam's formidable contributions to pure mathematics ; first his measurable cardinals , which allow one to talk about orders of infinity ...
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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.