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*Subject*: [amsat-bb] Zero to the zeroth*From*: "Stacey E. Mills, M.D." <w4sm@xxxxxxxxxx>*Date*: Mon, 16 Nov 1998 14:28:57 -0500*In-Reply-To*: <01BE113C.F9EB2600@atl-qbu-zpi-vty35.as.wcom.net>

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", it's been an interesting learning experience. Check out this web site for an even more detailed explanation of the zeroth power in general and 0^0 in particular: 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. Maybe Roy and I had the same math teacher :-). However, Dr. Math in the faq above says that "0^0" is "undefined" or "indeterminate". 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...... -- ________________________________________________________________________ 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 ________________________________________________________________________ ---- Via the amsat-bb mailing list at AMSAT.ORG courtesy of AMSAT-NA. To unsubscribe, send "unsubscribe amsat-bb" to Majordomo@amsat.org

**References**:**RE: AO-10 Keps***From:*George F. Byron, Jr.

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