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(Page 1115a) Notes for: The Notion of Computation | Emulating Cellular Automata with Other Systems History [of arithmetic system emulation] The correspondence between ...

(Page 0928e) Notes for: Two Dimensions and Beyond | Cellular Automata Ulam systems Having formulated the system around 1960, Stanislaw Ulam and collaborators (see page 877 ) ...

(Page 1012e) Notes for: Implications for Everyday Systems | Biological Pigmentation Patterns Implementation [of patterning model] Given a 2D array of values a and a list of ...

(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 ...

(Page 0955a) Notes for: Starting from Randomness | Special Initial Conditions [Repetition in] systems based on numbers An iterated map of the kind discussed on page 150 with ...

(Page 1031a) Notes for: Fundamental Physics | Space as a Network Counting of [network] nodes The number of nodes reached by going out to network distance r (with r>1 ) from ...

(Page 1171b) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Implementation [of operators from axioms] Given an axiom ...

(Page 0937b) Notes for: Two Dimensions and Beyond | Multiway Systems General properties [of multiway systems] The merging of states (as done above by Union ) is crucial to ...

(Page 1101b) Notes for: Processes of Perception and Analysis | Human Thinking Error-correcting codes In many information transmission and storage applications one needs to be ...

(Page 0968b) Notes for: Mechanisms in Programs and Nature | Three Mechanisms for Randomness Sources of randomness Two simple mechanical methods for generating randomness seem ...