Re: Neato chaotic equations for analog computers to display?

From: Nicholas O. Lindan (see_at_sig.com)
Date: 12/21/04 

Date: Tue, 21 Dec 2004 16:25:15 GMT

"Steve O'Hara-Smith" <steveo@eircom.net>
> "Nicholas O. Lindan" <see@sig.com> wrote:
> > I think it is: if the values aren't cyclic then they have to
> > march off to infinity (or the universe ends first).
> Hmm think about the digits in pi.

They cycle between 0 and 9? Sounds a bit odd, but how do you
measure the successive values of pi except by fixed
length strings of digits.

If pi is both random and deterministic then it obeys
some of the criteria for chaos and fractals. If it is non
deterministic then it is noise.

If the digits of pi are really random then pi must contain all possible
sub-strings: somewhere in pi are the complete works of W. Shakespeare.
If Willie's words aren't present then the string is not random. I am
not sure if that means anything as an a priori copy of Shakespeare needs to
exist in order to identify its location in pi (or e, sqrt(2) ...).

Eventually this devolves to agreement/disagreement on the meaning of
the word 'chaos'. Best not get too close to the nut of the matter or
it will disappear in a puff of smoke (flame?).

One must never ever doubt what nobody is sure about. - Punch(?) 

-- 
Nicholas O. Lindan, Cleveland, Ohio
Consulting Engineer:  Electronics; Informatics; Photonics.
Remove spaces etc. to reply: n o lindan at net com dot com
psst.. want to buy an f-stop timer? nolindan.com/da/fstop/

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