(Page 0913b) Notes for: Systems Based on Numbers | Mathematical Constants Nested digit sequences The number obtained from the substitution system {1->{1,0}, 0->{0,1}} is ...

(Page 0963c) Notes for: Starting from Randomness | The Notion of Attractors [State networks for] additive rules The pictures below show networks obtained for the additive ...

(Page 1100e) Notes for: Processes of Perception and Analysis | Human Thinking [Identifying] similar words The soundex system for hashing names according to sound was first ...

(Page 1153b) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Groups [and axioms] Groups have been used implicitly in ...

(Page 0083) The pictures at the top of the next page show a few more examples. And what we see is that in all cases there is obvious regularity in the patterns produced. ...

(Page 0913c) Notes for: Systems Based on Numbers | Mathematical Constants Concatenation sequences One can consider forming sequences by concatenating digits of successive ...

(Page 1018d) Notes for: Fundamental Physics | The Notion of Reversibility Generalized additive [cellular automaton] rules Additive cellular automata of the kind discussed on ...

(Page 1101a) Notes for: Processes of Perception and Analysis | Human Thinking [Memory analogs with] numerical data In situations where pieces of data can be thought of as ...

(Page 0892f) Notes for: The World of Simple Programs | Substitution Systems Other examples [of substitution systems] (a) (Period-doubling sequence) After t steps, there are a ...

(Page 0901d) Notes for: Systems Based on Numbers | The Notion of Numbers History of numbers Numbers were probably first used many thousands of years ago in commerce, and ...