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

From Stephen Wolfram: A New Kind of Science [citation]