Date: Oct 26, 2006 4:02 AM
Author: Guest
Subject: [HM] question about term "normal"

Dear J. Grabiner:

On the Wolfram page which you quote, the topic is "normal numbers". This

is quite an old bundle of concepts, discussed extensively, e.g., in the

book "Uniform dustribution of sequences" by KUIPERS and NIEDERREITER.

According to these authors, the concept dates back to some publications

by Emile Borel, of 1909 and 1914. The concept is related to equal

distribution on finite sets as well as to uniform distribution of real

numbers modulo one. I learned about normal numbers from my teacher

Edmund Hlawka who also treats them in his book on uniform distribution.

I am not aware that any author treating normal numbers mentioned "normal

distribution".

Best regards, Peter Flor (Graz, Austria).