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- Path: sparky!uunet!olivea!charnel!sifon!triples.math.mcgill.ca!rags
- From: rags@triples.math.mcgill.ca (Robert A. G. Seely)
- Newsgroups: sci.math
- Subject: Re: Philosophy of Pi
- Message-ID: <1992Dec14.144954.11447@sifon.cc.mcgill.ca>
- Date: 14 Dec 92 14:49:54 GMT
- References: <1gd4dbINNm9q@gambier.rick.cs.ubc.ca> <Bz7pG6.vI@undergrad.math.waterloo.edu> <1gi1bmINNsou@function.mps.ohio-state.edu>
- Sender: news@sifon.cc.mcgill.ca
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- In article <1gi1bmINNsou@function.mps.ohio-state.edu> edgar@function.mps.ohio-state.edu (Gerald Edgar) writes:
- >>YESSSSS!!!!! exp(i*Pi) + 1 = 0
- >>is perhaps the most beautiful identity in mathematics,
- >
- >I disagree. The beautiful identity is exp(ix) = cos x + i sin x.
- >Unlike the previous one, it is even useful...
- >--
- > Gerald A. Edgar Internet: edgar@mps.ohio-state.edu
- > Department of Mathematics Bitnet: EDGAR@OHSTPY
- > The Ohio State University telephone: 614-292-0395 (Office)
- > Columbus, OH 43210 -292-4975 (Math. Dept.) -292-1479 (Dept. Fax)
-
-
- But this is just a matter of preferring the general to the particular
- instance - many might prefer the instance as a beautiful representative of
- the general equation, understanding that the instance also encompasses the
- general by implication.
-
- -rags
-