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Page 56
... material quoted in this tutorial from Mathe- matics and Logic has been reprinted with permis- sion from Encyclopedia Britannica , Inc. However , the second condition makes the definition circular , for the concept of proba- bility then ...
... material quoted in this tutorial from Mathe- matics and Logic has been reprinted with permis- sion from Encyclopedia Britannica , Inc. However , the second condition makes the definition circular , for the concept of proba- bility then ...
Page 127
... material surrounded by a shell of tamper material . Assume some initial distribution of neu- trons in space and in velocity but ignore radiative and hydrodynamic effects . The idea is to now follow the development of a large number of ...
... material surrounded by a shell of tamper material . Assume some initial distribution of neu- trons in space and in velocity but ignore radiative and hydrodynamic effects . The idea is to now follow the development of a large number of ...
Page 128
... material being tra- versed . When a material boundary was crossed , another choice was made appro- priate to the new material . The device could accommodate two neutron energies , referred to as " slow " and " fast . " Once again , the ...
... material being tra- versed . When a material boundary was crossed , another choice was made appro- priate to the new material . The device could accommodate two neutron energies , referred to as " slow " and " fast . " Once again , the ...
Page 129
... material being tra- versed and a random choice between fast and slow neutrons . Another random digit was used to determine the direction of mo- tion , and a third was selected to give the dis- tance to the next collision . The trolley ...
... material being tra- versed and a random choice between fast and slow neutrons . Another random digit was used to determine the direction of mo- tion , and a third was selected to give the dis- tance to the next collision . The trolley ...
Page 132
... material can then be used for all kinds of neutron statistic investigations is obvious . From the collisio cross - section alocity ; 1.0 / velocity I append a tentative " computing sheet " for the calculation above . It should give a ...
... material can then be used for all kinds of neutron statistic investigations is obvious . From the collisio cross - section alocity ; 1.0 / velocity I append a tentative " computing sheet " for the calculation above . It should give a ...
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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.