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Re: Zero to the zeroth




----- Original Message -----
From: Stacey E. Mills, M.D. <w4sm@cstone.net>
To: George F. Byron, Jr. <gfb@sprynet.com>; 'Roy Welch' <rdwelch@swbell.net>
Cc: AMSAT (E-mail) <amsat-bb@AMSAT.Org>
Sent: Monday, November 16, 1998 2:28 PM
Subject: [amsat-bb] Zero to the zeroth


>At 08:40 AM 11/16/1998 -0600, George F. Byron, Jr. wrote:
>
>>True any number except 0 to the 0 power equals 1.
>>The reason why this is not true of 0 is no number cannot be divided by 0.
>
>[snip]
>
>Well, I think George meant that "no number CAN be divided by 0", and in
>spite of the double negative :-), he seems to be absolutely correct.
>Although this is way off track from Keplerian elements with "e^0" which is
>shorthand for "10^0",

Nope. e^0 is not 10^0.  e is a natural log, not base 10.

Bobbie
>http://forum.swarthmore.edu/dr.math/faq/faq.number.to.0power.html
>
>Like Roy, I had been taught years ago (apparently wrongly) that 0^0 = 1.  I
>was told this was definitional like 0! = 1.

Nope. 0! (zero factorial) is zero times zero which equals zero.

>
>BTW, on the Win95/98 screen calculator enter "0", hit the "X^Y" key and
>enter "0" again, followed by "=" and you'll get "1"......  Some other
>calculators do the same thing, and still others "crash".  It appears that
>crashing is the correct answer......

I agree. But windows crashes are "normal".


Bobbie
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>--
> ________________________________________________________________________
> Stacey E. Mills, M.D.  WEB:  http://www.med.virginia.edu/~sem2r/
> Charlottesville, VA   E-Mail: sem2r@virginia.edu (or) w4sm@cstone.net
> Office Phone: 804-982-4406  Fax: 804-924-8767
> ________________________________________________________________________
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