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Chapter 4
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Chapter 4:
Systems Based on Numbers
Section 1:
The Notion of Numbers
Section 2:
Elementary Arithmetic
Section 3:
Recursive Sequences
Section 4:
The Sequence of Primes
Section 5:
Mathematical Constants
Section 6:
Mathematical Functions
Section 7:
Iterated Maps and the Chaos Phenomenon
Section 8:
Continuous Cellular Automata
Section 9:
Partial Differential Equations
Section 10:
Continuous Versus Discrete Systems
Resources For This Page:
Chaos in the Shift Map
Continuous Cellular Automaton with Math Rules I
Continuous Cellular Automaton with Math Rules II
Continuous Cellular Automaton with Math Rules III
Conway Sequence with Varying Initial Conditions
Multiterm Nestedly Recursive Functions
Nested Structure of the Continued Fraction of Liouville's Constant
Nonlinear Wave Equations
One-Term Nestedly Recursive Functions
Randomness in the Digits of Pi
Randomness in the Digits of Square Roots
Reversal-Addition Related Systems
Tree Form of Recursive Function Evaluation Steps