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Page 15
... quantum theory although it lay at the base of the phenomena , but rather dynamics of a more classical kind - kinematics , statistical mechanics , large - scale motion problems , hydro- dynamics , behavior of radiation ... Compared to ...
... quantum theory although it lay at the base of the phenomena , but rather dynamics of a more classical kind - kinematics , statistical mechanics , large - scale motion problems , hydro- dynamics , behavior of radiation ... Compared to ...
Page 59
... quantum mechanics ( Feynman 1951 ) . As we will see in the section on measure theory , the axioms of additivity and complementarity have an impressive mathematical content . Nevertheless they are too general and all - embracing to stand ...
... quantum mechanics ( Feynman 1951 ) . As we will see in the section on measure theory , the axioms of additivity and complementarity have an impressive mathematical content . Nevertheless they are too general and all - embracing to stand ...
Page 90
... quantum mechanics . In Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability , edited by Jerzy Neyman . Berkeley and Los Angeles : University of California Press . David Blackwell and R. Daniel Mauldin ...
... quantum mechanics . In Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability , edited by Jerzy Neyman . Berkeley and Los Angeles : University of California Press . David Blackwell and R. Daniel Mauldin ...
Page 124
... quantum mechanics . The field of nonlinear science is changing our understanding of the world around us . As experimental mathematics uncovers certain universal features of complex deter- ministic systems , it also brings us face to ...
... quantum mechanics . The field of nonlinear science is changing our understanding of the world around us . As experimental mathematics uncovers certain universal features of complex deter- ministic systems , it also brings us face to ...
Page 137
... quantum mechanics of sys- tems too complex for other methods . Quite a handful . □ Random - Number Generators R by Tony Warnock andom numbers have applications in many areas : simulation , game - playing , cryptography , statistical ...
... quantum mechanics of sys- tems too complex for other methods . Quite a handful . □ Random - Number Generators R by Tony Warnock andom numbers have applications in many areas : simulation , game - playing , cryptography , statistical ...
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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.