Re: [Mid] A lesson in Algorism

From: Charles J. Cohen <charles_at_eecs.umich.edu>
Date: Sat 12 Jun 1999 11:47:11 PM EDT
Message-Id: <199906130347.XAA22725@krusty.eecs.umich.edu>

><< p.s. If it did make it finite, then pi wouldn't be as interesting as
> it is now, and the Greeks would have been able to square the circle. >>

> I begin to see our difference, the number *Pi* is non-repeating. The
>*0* would make no difference in any such sequence (most roots of most numbers
>included).

It was just an example.

>However in the case of an arbitrarily specified infinite sequence being
>specified, it may/must be presumed to be cut off at some equally arbitrary
>point when, but only when, multiplied by any factor containing 10. Thus the
>special case we are discussing contains an apparent loss which is miniscule,
>though not real. There are also other problems which contain an apparent gain
>resulting from similar numerical machinations.

I'm really going to have to disagree. See my earlier post about 1/3 *
10 still resulting in a number which contains 1/3, an infinitely
repeating sequence. It isn't arbitrary - by definition it goes on
forever, no matter what you multiply it by (except 0, of course). 10
times a number which goes on forever still goes on forever.

- Midair
From: "Charles J. Cohen" <charles@eecs.umich.edu>
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Received on Sat Jun 12 23:44:18 1999

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