# Digits Walks of Transcendental Numbers

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A "walk" on the digits of a number can be used to evaluate the normality of a transcendental number in base 2 [1].

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Contributed by: Erik Mahieu (February 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Normality of numbers is the subject of ongoing studies and a walk may only be a first indication of whether a number is normal.

Snapshot 1: was proved to be 2-normal and its walk wanders close to the origin

Snapshot 2: has a completely different patterned walk and was nevertheless proven to be 2-normal

Snapshot 3: has a walk similar to but has not proven to be normal yet

Reference

[1] A. Belshaw and P. Borwein. "Champernowne’s Number, Strong Normality, and the X Chromosome." *Centre for Experimental and Constructive Mathematics*. www.cecm.sfu.ca/personal/pborwein/PAPERS/P236.pdf.

## Permanent Citation