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- From: dbriggs@zia.aoc.nrao.edu (Daniel Briggs)
- Subject: Re: Would Pi repeat, were it expressed in a base other than 10?
- Message-ID: <1992Dec14.184722.13159@zia.aoc.nrao.edu>
- Organization: National Radio Astronomy Observatory, Socorro NM
- References: <Bz4p1C.DtG@news.cso.uiuc.edu> <1992Dec14.152439.11715@news.eng.convex.com> <1992Dec14.160421.26301@ulrik.uio.no>
- Date: Mon, 14 Dec 92 18:47:22 GMT
- Lines: 20
-
- In article <1992Dec14.160421.26301@ulrik.uio.no>
- solan@smauguio.no (Svein Olav G. Nyberg) writes:
- >Base pi? No joking?
- >
- >Well, what are the first 5 digits of what we normally
- >call "5" in this base?
-
- Well, with just grade school arithmetic I make the first six digits to be
- 11.22012. (Hope I did it right!) The usual algorithm of divide,
- difference and remainder seems to work OK for transcendental bases. You
- can check it by expanding it out in the usual way. 1*pi^1 + 1*pi^0 +
- 2*pi^-1 + ... The error is indeed less than pi^-5. I'd be interested to
- hear what the math gurus have to say about representation in such bases --
- it's an interesting topic.
-
- --
- | Daniel Briggs (dbriggs@nrao.edu) | USPA B-14993
- | New Mexico Tech / National Radio Astronomy Observatory | DoD #387
- | P.O. Box O / Socorro, NM 87801 (505) 835-7391 |
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