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Space, Time and Relativity   (Stephen Wolfram's "A New Kind of Science")
(Page 0522) whenever there is sufficient uniformity to give a stable structure to space one can still think of something like parallel slices at different angles as ...
Statistical Analysis   (Stephen Wolfram's "A New Kind of Science")
(Page 0596) specific process one can apply it to a piece of raw data, and then see how the results compare with those obtained from all possible sequences. If the process is ...
Origins of Simple Behavior   (Stephen Wolfram's "A New Kind of Science")
(Page 0357) Beyond uniformity and repetition, the one further type of simple behavior that we have often encountered in this book is nesting. And as with uniformity and ...
Irreversibility and the Second Law of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0451) Thermodynamics. And once again, therefore, we find that the Second Law is associated with basic phenomena that we already saw early in this book. But just how ...
Notes for: The Principle of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1139b) Notes for: The Principle of Computational Equivalence | Undecidability and Intractability Correspondence systems Given a list of pairs p with {u, v}=Transpose[p] ...
Notes for: The Principle of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1150a) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Axiom systems In the main text I argue that there are ...
Relations to Other Areas   (Stephen Wolfram's "A New Kind of Science")
(Page 0011) Art. It seems so easy for nature to produce forms of great beauty. Yet in the past art has mostly just had to be content to imitate such forms. But now, with the ...
Systems Based on Constraints   (Stephen Wolfram's "A New Kind of Science")
(Page 0213) What about other constraints? The pictures on the facing page show schematically what happens with constraints that require each cell to have various numbers of ...
Systems Based on Constraints   (Stephen Wolfram's "A New Kind of Science")
(Page 0216) So how can one force more complex patterns to occur? The basic answer is that one must extend at least slightly the kinds of constraints that one considers. And ...
Financial Systems   (Stephen Wolfram's "A New Kind of Science")
(Page 0429) Financial Systems During the development of the ideas in this book I have been asked many times whether they might apply to financial systems. There is no doubt ...
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