Gordon,
Thanks for the correction. I had not realized that I could get an
effectively random number sequence by calculating a surd in decimal or
other notation.
Dave
On Mon, 30 Jul 2001 13:34:17 -0600 (MDT) gordon brown
<gbrown@euclid.Colorado.EDU> writes:
> Whether or not a decimal expansion of a number looks random is not
> the
> same question as whether or not it is transcendental. The Liouville
> number
> .10100100000010...10... is transcendental where the number of zeros
> between successive ones is 1!, then 2!, then 3!, etc., but it
> certainly
> doesn't look random. On the other hand, the decimal expansions of
> such
> irrational algebraic (i. e. nontranscendental) numbers as square
> roots of
> non-square integers look as random as pi or e.
>
> Gordon Brown
> Department of Mathematics
> University of Colorado
> Boulder, CO 80309-0395
>
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