Mail Archives: djgpp-workers/1999/06/09/16:15:26
Martin Stromberg wrote:
>
> Eric said:
>
> > In particular, though the prevailing consensus is that 0^0 should be defined
> > as 1, my decision to raise EDOM for pow(0., 0.) was based on the fact that
> > it is mathematically-indeterminate.
>
> Well, as lim(x^0) = 1, in one way it does make sense to define 0^0 = 1,
> x->0+
>
> however the behaviour of lim(x^0) isn't as clearcut (from my cursory
> x->0-
>
> examination).
>
> _If_ lim(x^0) = 1, then I would say 0^0 should be defined as 1,
> x->0-
>
> but right now this isn't clear to me.
There is an interesting discussion in the sci.math FAQ.
ftp://rtfm.mit.edu/pub/usenet-by-hierarchy/sci/math/sci.math_FAQ%3A_What_is_0%5E0%3F
The conclusion is that 0^0 should equal 1, but some disagree.
--
Nate Eldredge
nate AT cartsys DOT com
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