Talk:Nimber arithmetic

Task description error?

The task description asserts:

the nim-product of a Fermat power (2^{2^k}) and a smaller number is their ordinary product

But 16 is a fermat power and inspecting implementations here, I see that they would produce 11112 as the result for 7 ⊗ 16

(Also, the definitions require reasoning about infinities of negative numbers but the task includes no discussion of how that is handled.)

--Rdm (talk) 20:24, 23 February 2022 (UTC)

Which implementations produce 11112? Every one that I see that displays 7 ⊗ 16 has 112 for the result. Unless you are including the 7 ⊗ 15 result (11) in there? --Thundergnat (talk) 21:21, 23 February 2022 (UTC)

Ah, that was my problem. Yes, I did not notice that those two columns had been merged in the display. Thanks.

That said, I am still uncomfortable with the lack of treatment of the infinite sequences of negative values. --Rdm (talk) 23:29, 24 February 2022 (UTC)