Chapter 4: Systems Based on Numbers

Section 2: Elementary Arithmetic

Digit reversal

Sequences of the form

Table[FromDigits[Reverse[IntegerDigits[n, k, m]], k], {n, 0, km - 1}]

shown below appear in algorithms such as the fast Fourier transform and, with different values of k for different coordinates, in certain quasi-Monte Carlo schemes. (See pages 1073 and 1085.) Such sequences were considered by Johannes van der Corput in 1935.

Digit reversal image 1

Image Source Notebooks:

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