On Tue, Feb 12, 2013 at 6:00 PM, Andrea Pescetti <pesce...@apache.org> wrote:
>
> 1) Nobody so far exhibited a spreadsheet that would be broken by the new
> behavior.

I think attachment to the list are stripped... but... any spreadsheet
that try to teach the Power Rule
( http://en.wikipedia.org/wiki/Power_rule )
with interactivity where you can plug the value for x and it calculate
the derivative of a polynomial f(x)
would all the sudden claim that polynomial functions with a component
in x^1 are not differentiable in 0...

and that is just one common and practical use of 0^0.

Just because some people are tempted to talk about the value of a
limit, or even wore for a mathematician, trying to 'calculate it'
before establishing convergence does not mean that the 'notation' 0^0
can not be defined.
just like 0! is _defined_ to be 1, 0^0 is _defined_ to be 1.

I also invite the numerous mathematicians on this list to refer to "N.
Boubaki (*),  Element of Mathematics, Set Theory, p164:  III.3.5
Proposition 11. "[...] Note in particular that 0^0 = 1."

(*) http://en.wikipedia.org/wiki/Nicolas_Bourbaki

Norbert

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