(Page 1033e) Notes for: Fundamental Physics | The Sequencing of Events in the Universe Implementation [of generalized substitution systems] Sequential substitution systems in ...

(Page 1120d) Notes for: The Notion of Computation | Universality in Turing Machines and Other Systems [Turing] machine 596440 For any list of initial colors init , it turns ...

(Page 0890b) Notes for: The World of Simple Programs | Substitution Systems Fibonacci numbers The Fibonacci numbers Fibonacci[n] ( f[n] for short) can be generated by the ...

(Page 0896a) Notes for: The World of Simple Programs | Register Machines Implementation [of register machines] The state of a register machine at a particular step can be ...

(Page 0866a) Notes for: The Crucial Experiment | How Do Simple Programs Behave? Comments on Mathematica functions CenterList works by first creating a list of n 0's, then ...

(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 ...

(Page 0893b) Notes for: The World of Simple Programs | Sequential Substitution Systems Implementation [of sequential substitution systems] Sequential substitution systems can ...

(Page 0911f) Notes for: Systems Based on Numbers | Mathematical Constants Digits of pi The digits of π shown here can be obtained in less than a second from Mathematica on a ...

(Page 0924c) Notes for: Systems Based on Numbers | Partial Differential Equations Implementation [of my PDEs] All the numerical solutions shown were found using the NDSolve ...

(Page 1070a) Notes for: Processes of Perception and Analysis | Data Compression Number representations The sequence of 1's and 0's representing a number n are obtained as ...