Re: 0^0
- From: David Kastrup <dak@xxxxxxx>
- Date: Thu, 01 Sep 2005 15:18:15 +0200
"Risto Lankinen" <rlankine@xxxxxxxxxxx> writes:
> "David Kastrup" <dak@xxxxxxx> wrote in message
> news:85fyspx7lk.fsf@xxxxxxxxxxxxxxxxx
>> "Ulrich Sondermann" <usondermann@xxxxxxxxxxxxx> writes:
>>
>> x^0 is a product containing exactly 0 factors of x, so the value of x
>> is completely irrelevant to the result. Just like 0*x is a sum
>> containing exactly 0 summands of x, making the value of x completely
>> irrelevant to the result.
>
> 0*inf = ?!?
"inf" is not a number in the context of algebra, but is rather a
shorthand in the context of limiting expressions.
You'd never state that x-x can't be simplified as an expression, since
inf-inf happens to be an undefined limiting form, right?
In the same vein, 0*x is a well-defined expression, even though 0*inf
happens to be an undefined limiting form.
--
David Kastrup, Kriemhildstr. 15, 44793 Bochum
.
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