On Oct 23, 12:11 am, John H Palmieri <jhpalmier...@gmail.com> wrote:
> On Oct 22, 1:25 am, Kwankyu Lee <ekwan...@gmail.com> wrote:
>
> > Hi,
>
> > The following scares me.
>
> > sage: 0^0
> > 1
> > sage: F.<a>=GF(5)
> > sage: F(0)^0
> > Traceback (most recent call last):
> > ...
> > ArithmeticError: 0^0 is undefined.
>
> > For any x, x^0 is 1 by definition.
>
> I always thought that for any y, 0^y = 0. :)
>
> Anyway, 0^0 is undefined in mathematics, so it's good that it's
> undefined in Sage.
I always thought that for any x, x^0=1 in mathematics. I think my
algebraic programs often relied on this fact. If it was not the case,
then I would have been forced to use some 'if' constructs, or would
have mysterious bugs in the program.
Anyway, I am amazed that mathematicians do not agree on this matter
unanimously...
Kwankyu
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