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Implications for Mathematics and Its ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0797) possible strings of a given length are eventually generated if one starts from the string representing "true". For if more than half the strings are generated, ...
Notes for: Implications for Everyday ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1008d) Notes for: Implications for Everyday Systems | Growth of Plants and Animals [Mollusc] shell model The center of the opening of a shell is taken to trace out a ...
Register Machines   (Stephen Wolfram's "A New Kind of Science")
(Page 0099) alternates between 0 and 1, but the second register progressively grows. And finally, in the third machine both registers grow. But in all these three examples, ...
Substitution Systems and Fractals   (Stephen Wolfram's "A New Kind of Science")
(Page 0191) Yet if one sets up elements on a grid it is straightforward to allow the replacements for a given element to depend on its neighbors, as in the picture at the top ...
Substitution Systems and Fractals   (Stephen Wolfram's "A New Kind of Science")
(Page 0192) So how can this be generalized to higher dimensions? On a two-dimensional grid one can certainly imagine snaking backwards and forwards or spiralling outwards to ...
The Intrinsic Generation of Randomness   (Stephen Wolfram's "A New Kind of Science")
(Page 0320) [No text on this page] Captions on this page: Examples of three so-called linear congruential random number generators. In each case they start with the number 1, ...
Irreversible Data Compression   (Stephen Wolfram's "A New Kind of Science")
(Page 0575) one might wonder whether perhaps some other ordering would make it easier to compress more complex images. One simple approach is just to assemble a large ...
Computational Irreducibility   (Stephen Wolfram's "A New Kind of Science")
(Page 0747) [No text on this page] Captions on this page: Examples of patterns set up so that a short computation can be used to determine the color of each cell from the ...
Implications for Mathematics and Its ...   (Stephen Wolfram's "A New Kind of Science")
(Page 0807) But at least at a formal level, logic can be viewed simply as a theory of functions that take on two possible values given variables with two possible values. And ...
General Notes   (Stephen Wolfram's "A New Kind of Science")
(Page 0852d) Stephen Wolfram: A New Kind of Science | Online The Book Store Downloads Education Archives Forum Jump to Page Look Up in Index Search General Notes > Section 1 ...
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