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Notes for: Fundamental Physics   (Stephen Wolfram's "A New Kind of Science")
(Page 1034a) Notes for: Fundamental Physics | The Sequencing of Events in the Universe Sequential cellular automata Ordinary cellular automata are set up so that every cell ...
Notes for: Processes of Perception and ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1094c) Notes for: Processes of Perception and Analysis | Traditional Mathematics and Mathematical Formulas The more general case [of computation speed ups] One can ...
Notes for: The Principle of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1130c) Notes for: The Principle of Computational Equivalence | The Validity of the Principle Intermediate degrees As discussed on page 753 , an important indication of ...
Sequential Substitution Systems   (Stephen Wolfram's "A New Kind of Science")
(Page 0091) [No text on this page] Captions on this page: Examples of sequential substitution systems whose rules involve three possible replacements. In all cases, the ...
Tag Systems   (Stephen Wolfram's "A New Kind of Science")
(Page 0094) [No text on this page] Captions on this page: Examples of tag systems in which at each step two elements are removed from the beginning of the sequence and then, ...
The Emergence of Order   (Stephen Wolfram's "A New Kind of Science")
(Page 0227) [No text on this page] Captions on this page: Other examples of cellular automata that never settle down to stable states when started from random initial ...
Notes for: The Crucial Experiment   (Stephen Wolfram's "A New Kind of Science")
(Page 0874a) Notes for: The Crucial Experiment | Why These Discoveries Were Not Made Before Recognition of art One bizarre possibility is that forms like those from rule 30 ...
Notes for: Systems Based on Numbers   (Stephen Wolfram's "A New Kind of Science")
(Page 0909c) Notes for: Systems Based on Numbers | The Sequence of Primes Divisors The picture below shows as black squares the divisors of each successive number (which ...
Notes for: The Principle of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1173c) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Notations [for logical primitives] Among those in ...
Cryptography and Cryptanalysis   (Stephen Wolfram's "A New Kind of Science")
(Page 0605) But it is rather easy to foil this particular approach to cryptanalysis: all one need do is not sample every single cell in a given column in forming the ...

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