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Notes
Chapter 4
Section 2
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Notes
Chapter 4:
Systems Based on Numbers
Section 2:
Elementary Arithmetic
Substitution systems [and digit sequences]
Digit counts
Negative bases
Non-power bases
Multiplicative digit sequences
Powers of three in base 2
Leading digits [in numbers]
Powers of 3/2
General powers [of numbers]
Multiples of irrational numbers
Relation [of powers] to substitution systems
Other uniformly distributed sequences
Implementation [of 3/2 system]
Reconstructing initial conditions [in the
3n+1
problems]
A reversible [
3n+1
problem] system
Reversal-addition systems
History [of reversal-addition systems]
Digit reversal
Iterated run-length encoding
Digit count sequences
Iterated bitwise operations