Article View: uk.education.maths
Article #131Re: Pi day
From: G.W. Owen
Date: Wed, 19 Mar 1997 00:00
Date: Wed, 19 Mar 1997 00:00
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Miro Jurisic (meeroh@mit.edu) wrote: : In article <5gndo3$5u7@flounder.trans.ge.com>, bauerle@erie.ge.com wrote: : : > Anybody got a proof for that? i^i = exp(-pi/2)? : > : > Thanks, : > : > Ron Bauerle : : i = e^(i*pi/2) : : i^i = (e^(i*pi/2))^i = e^((i*pi/2)*i) = e^(-pi/2) : : meeroh : Of course i^i can also take an infinite number of other solutions, in a analogous way with the fact that 3^(1/2) can take 2 values. Riemann surfaces and all that. -- Gareth Owen <G.W.Owen@keele.ac.uk> Looking up is as scary as looking down.
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f458d,30fff994c7ddd7d9 X-Google-Attributes: gidf458d,public X-Google-Thread: 1130d6,30fff994c7ddd7d9 X-Google-Attributes: gid1130d6,public X-Google-Thread: f7972,30fff994c7ddd7d9 X-Google-Attributes: gidf7972,public X-Google-Thread: 10d67e,30fff994c7ddd7d9 X-Google-Attributes: gid10d67e,public X-Google-Thread: 109d8a,30fff994c7ddd7d9 X-Google-Attributes: gid109d8a,public X-Google-Thread: 1077c2,30fff994c7ddd7d9 X-Google-Attributes: gid1077c2,public From: mad14@cc.keele.ac.uk (G.W. Owen) Subject: Re: Pi day Date: 1997/03/19 Message-ID: <5gof1p$t3p@gerry.cc.keele.ac.uk> X-Deja-AN: 226869089 Distribution: uk References: <5gk8lm$qmj@opus.vcn.bc.ca> <5gndo3$5u7@flounder.trans.ge.com> <meeroh-ya023380001803972059510001@news.mit.edu> Followup-To: uk.education.maths,alt.uu.math.misc,aus.mathematics,can.schoolnet.math.sr,alt.math.recreational,sci.math Newsgroups: uk.education.maths,alt.uu.math.misc,aus.mathematics,can.schoolnet.math.sr,alt.math.recreational,sci.math