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Article #1036Re: 0^0=Indeterminate quantity right ?
From: Norm Dresner
Date: Thu, 02 Jan 2003 14:13
Date: Thu, 02 Jan 2003 14:13
26 lines
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2232 bytes
Kevin Easton <kevin@-nospam-pcug.org.au> wrote in message
news:av1em9$gkp$1@tomato.pcug.org.au...
> In comp.os.linux.development.apps Erik Max Francis <max@alcyone.com>
wrote:
> > Kasper Dupont wrote:
> >
> >> Erik Max Francis wrote:
> >>
> >> > x^0 = 1 holds for all x
> >>
> >> OTOH 0^x = 0, and you can probably argue for anything
> >> between 0 and 1 by similar arguments.
> >
> > This is a very weak argument, because for one thing, 0^x = 0 is simply
> > not true; consider x = -1. (And y^x isn't defined at _all_ for
negative
> > irrational x, regardless of y!)
>
> Wouldn't that make e^x a noncontinous function? I was sure that e^(-Pi)
> is well-defined - certainly e^(-j.Pi) is.
>
He meant to say that y^x is undefined for both x & y negative. e^x is
continuous.
Norm
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 10c696,49fa7379441f7903 X-Google-Attributes: gid10c696,public X-Google-Thread: 100c5f,49fa7379441f7903 X-Google-Attributes: gid100c5f,public X-Google-Thread: f45a7,49fa7379441f7903 X-Google-Attributes: gidf45a7,public X-Google-ArrivalTime: 2003-01-02 06:13:04 PST Path: arc1-ca.pugleaf.net!archiver1.google.com!news1.google.com!newsfeed.stanford.edu!news-spur1.maxwell.syr.edu!news.maxwell.syr.edu!wn11feed!worldnet.att.net!bgtnsc05-news.ops.worldnet.att.net.POSTED!not-for-mail From: "Norm Dresner" <ndrez@worldnet.att.net> Newsgroups: alt.linux,comp.os.linux.development.apps,fr.education.entraide.maths References: <auvg0g$8jf$1@news.vsnl.net.in> <3E135361.2C13B99F@alcyone.com> <3E1359C8.F423ABC8@daimi.au.dk> <3E13C6FE.FF4E67A6@alcyone.com> <av1em9$gkp$1@tomato.pcug.org.au> Subject: Re: 0^0=Indeterminate quantity right ? Lines: 29 X-Priority: 3 X-MSMail-Priority: Normal X-Newsreader: Microsoft Outlook Express 5.00.2615.200 X-MimeOLE: Produced By Microsoft MimeOLE V5.00.2615.200 Message-ID: <QNXQ9.91251$hK4.7395604@bgtnsc05-news.ops.worldnet.att.net> Date: Thu, 02 Jan 2003 14:13:04 GMT NNTP-Posting-Host: 12.91.174.46 X-Complaints-To: abuse@worldnet.att.net X-Trace: bgtnsc05-news.ops.worldnet.att.net 1041516784 12.91.174.46 (Thu, 02 Jan 2003 14:13:04 GMT) NNTP-Posting-Date: Thu, 02 Jan 2003 14:13:04 GMT Organization: AT&T Worldnet