Definition:Absolutely Normal Number/Mistake

From ProofWiki
Jump to navigation Jump to search

Source Work

1986: David Wells: Curious and Interesting Numbers:

The Dictionary
$0 \cdotp 12345678910111213141516171819202122 \ldots$

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary
$0 \cdotp 12345 \, 67891 \, 01112 \, 13141 \, 51617 \, 18192 \, 02122 \ldots$


Mistake

... [ The Champernowne constant ] is also normal, that is, whether expressed in base $10$, or any other base, each digit occurs in the long run with equal frequency.


Correction

What is described here is actually an absolutely normal number.


Sources