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Mobile Automata   (Stephen Wolfram's "A New Kind of Science")
(Page 0071) Mobile Automata One of the basic features of a cellular automaton is that the colors of all the cells it contains are updated in parallel at every step in its ...
Cryptography and Cryptanalysis   (Stephen Wolfram's "A New Kind of Science")
(Page 0602) invert this to get a way to deduce the colors of cells on a given row from the colors of certain combinations of cells in a given column. Which cells in a column ...
Notes for: Starting from Randomness   (Stephen Wolfram's "A New Kind of Science")
(Page 0961d) Notes for: Starting from Randomness | The Notion of Attractors [State networks for] systems of limited size For any system with a limited total number of states, ...
Fundamental Issues in Biology   (Stephen Wolfram's "A New Kind of Science")
(Page 0391) But if complexity is this easy to get, why is it not even more widespread in biology? For while there are certainly many examples of elaborate forms and patterns ...
Growth of Plants and Animals   (Stephen Wolfram's "A New Kind of Science")
(Page 0406) [No text on this page] Captions on this page: The full array of patterns that can be produced by simple substitution systems in which each stem branches into ...
Implications for Mathematics and Its ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0796) But to formulate such a question in a meaningful way one needs a notion of negation. In general, negation is just some operation that takes a string and yields ...
The Breaking of Materials   (Stephen Wolfram's "A New Kind of Science")
(Page 0375) There are many factors which affect the details of displacements and vibrations in a solid. But as a rough approximation one can perhaps assume that each element ...
Notes for: The Principle of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1193b) Notes for: The Principle of Computational Equivalence | Implications for Technology Nanotechnology Popular since the late 1980s, especially through the work of ...
Time and Causal Networks   (Stephen Wolfram's "A New Kind of Science")
(Page 0487) As discussed in Chapter 3 -- and illustrated in the picture on the right -- a mobile automaton has just a single active cell which moves around from one step to ...
Time and Causal Networks   (Stephen Wolfram's "A New Kind of Science")
(Page 0488) automaton not in terms of individual steps, but rather in terms of updating events and the causal relationships between them. The pictures on the facing page show ...

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