[seqfan] Re: n^n = 1 for integer n=0
Max Alekseyev
maxale at gmail.com
Wed Jan 18 22:45:59 CET 2012
Wikipedia has comprehensive discussion on the value of 0^0:
http://en.wikipedia.org/wiki/Exponentiation#Zero_to_the_zero_power
Max
On Wed, Jan 18, 2012 at 4:34 PM, T. D. Noe <noe at sspectra.com> wrote:
> This could start a lot of e-mail. So, if you need to send e-mail, please
> send it to me (noe at sspectra.com) and I will post a summary of the results,
>
> Today, I had someone say that 0^0 is undefined. Somewhat surprised, I
> would like to know how common this view is among sequence fans. Note that
> in OEIS, we have f(0) = 1 for the function f(n) = n^n, see
> http://oeis.org/A000312.
>
> This note only covers integers; for real numbers, the argument is tougher.
>
> If you believe that 0^0 is some other number or undefined, please read the
> nice piece on Math Forum:
> http://mathforum.org/dr.math/faq/faq.0.to.0.power.html
>
> If you still think 0^0 is not 1, please send e-mail to me so that I can
> understand the problem.
>
> Best regards,
>
> Tony
>
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