(Page 0798) [No text on this page] Captions on this page: Examples of multiway systems that generate different fractions of possible strings, and in effect range from being ...

(Page 0883b) Notes for: The World of Simple Programs | More Cellular Automata Rule equivalences [for cellular automata] The table below gives basic equivalences between ...

(Page 0939d) Notes for: Two Dimensions and Beyond | Multiway Systems Multiway systems based on numbers One can consider for example the rule n -> {n + 1, 2 n} implemented by ...

(Page 0976f) Notes for: Mechanisms in Programs and Nature | The Phenomenon of Continuity Discreteness in computer programs The reason for discreteness in computer programs is ...

(Page 1074d) Notes for: Processes of Perception and Analysis | Irreversible Data Compression Wavelets Each basic form in an ordinary Walsh or Fourier transform has nonzero ...

(Page 1089c) Notes for: Processes of Perception and Analysis | Cryptography and Cryptanalysis [Cryptanalysis of] linear congruential generators Cryptanalysis of linear ...

(Page 1094c) Notes for: Processes of Perception and Analysis | Traditional Mathematics and Mathematical Formulas The more general case [of computation speed ups] One can ...

(Page 0149) Iterated Maps and the Chaos Phenomenon The basic idea of an iterated map is to take a number between 0 and 1, and then in a sequence of steps to update this ...

(Page 0277) any number of white cells. At any point one can follow the arrow to the left to get a black cell, but the form of the network implies that this black cell must ...

(Page 0404) For although leaves typically expand significantly after they come out, the basic features of their shapes almost never seem to change. There is some evidence ...