Dr. Dobb's Python-URL! - weekly Python news and links (Mar 17)

Erik Max Francis max at alcyone.com
Tue Mar 18 21:25:41 EST 2003


Tim Peters wrote:

> Last I heard (a few years ago), no.  Note two meanings for "normal": 
> the
> original definition required normality in all bases simultaneously,
> and
> that's usually called "absolutely normal" now.

True, although if mentioned without reference to a base, "normal" often
means "absolutely normal."  (i.e., "It's normal in base b" obviously
doesn't mean absolutely normal, but "pi is thought to be normal"
probably does.)

> Also, AFAIK, no absolutely
> normal number is known (constructed or not).

Ah, it appears you are right.  Champernowne and Copeland-Erdos are known
to be 10-normal, but not known to be absolutely normal.

-- 
 Erik Max Francis / max at alcyone.com / http://www.alcyone.com/max/
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