[seqfan] Re: A MathOverflow question related to A000081

[Heinz, Alois]

Using conventions that are consistent with some
definition does not seem to be an error.

Since other definitions (for "^") are possible, it is good
to say, which conventions are used.

There are notably different interpretations for 0^0.

https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero

https://brilliant.org/wiki/what-is-00/

Best regards,

Alois

Am 01.03.2019 um 13:50 schrieb M. F. Hasler:

> BTW, I also think that it is incorrect to refer, in A222379 & A222380, to
> "conventions that 0^0 = 1^0 = 1^1 = 1, 0^1 = 0".
> For all (except possibly the first one), these equalities are not
> conventions but consequence of the very definition of the ^ operation;
> there is absolutely no other possible choice for the values of 1^0, 1^1 and
> 0^1, unless of course " ^ " stands something else than "to the power of".
> (Of course it could stand for the binary XOR operation or whatever else.)
>
> - Maximilian
>