John H Palmieri 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.


Even for discrete things like elements of GF(5)?  I haven't thought 
about what 0^0 is for things where the continuous limit doesn't make sense.

Jason

-- 
Jason Grout


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