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Notes for: Processes of Perception and ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1072b) Notes for: Processes of Perception and Analysis | Data Compression Recursive subdivision [encoding] In one dimension, encoding can be done using ...
Notes for: The World of Simple Programs   (Stephen Wolfram's "A New Kind of Science")
(Page 0894b) Notes for: The World of Simple Programs | Sequential Substitution Systems Order of replacements [in sequential substitution systems] For many sequential ...
Notes for: Processes of Perception and ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1089c) Notes for: Processes of Perception and Analysis | Cryptography and Cryptanalysis [Cryptanalysis of] linear congruential generators Cryptanalysis of linear ...
Notes for: The Crucial Experiment   (Stephen Wolfram's "A New Kind of Science")
(Page 0870d) Notes for: The Crucial Experiment | How Do Simple Programs Behave? More colors [in additive cellular automata] The pictures below show generalizations of rule 90 ...
Notes for: The Principle of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1169d) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Comparison to multiway systems Operator systems are ...
Notes for: The Principle of ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1171b) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Implementation [of operators from axioms] Given an axiom ...
Notes for: Processes of Perception and ...   (Stephen Wolfram's "A New Kind of Science")
(Page 1072f) Notes for: Processes of Perception and Analysis | Irreversible Data Compression Walsh transforms The basic forms shown in the main text are 2D Walsh functions -- ...
Notes for: The World of Simple Programs   (Stephen Wolfram's "A New Kind of Science")
(Page 0887a) Notes for: The World of Simple Programs | Mobile Automata Implementation [of mobile automata] The state of a mobile automaton at a particular step can ...
Notes for: Systems Based on Numbers   (Stephen Wolfram's "A New Kind of Science")
(Page 0910d) Notes for: Systems Based on Numbers | The Sequence of Primes Properties [of number theoretic sequences] (a) The number of divisors of n is given by ...
Sequential Substitution Systems   (Stephen Wolfram's "A New Kind of Science")
(Page 0090) then it seems that no rule ever gives behavior that is much more complicated than in the picture above. And from this one might be led to conclude that sequential ...
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