[seqfan] Re: Without any discussion
Hagen von Eitzen
math at von-eitzen.de
Tue Sep 1 07:55:46 CEST 2009
David Wilson schrieb:
> I'm taking an opinion poll.
>
> Please send me a single numerical answer to this question, with no
> discussion or reasoning:
>
> 0^0 = ?
>
>
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>
>
>
0^0 = 1, though 0.0^0.0 is indeterminate.
It's always good to know on which domain a function is defined. Since
we're in OEIS-land, I use
a^b := number of functions from a b-element set to an a-element set.
0^0 is the number of functions from the empty set to the empty set;
there is exactly one such function: the identity map of the empty set
(Sorry for adding reasoning)
Hagen
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