In connection with this question of what 0 % 0 “should be”, you may be 
interested in the note (was it a letter?) 

   “Zero divided by zero: zero or one or neither?”, APL Quote Quad, vol 11 
(1981), 9–11.

As the note is not available in the on-line ACM digital library, I have 
uploaded the text to Research Gate: 

    
https://www.researchgate.net/publication/242583682_Zero_divided_by_zero_zero_or_one_or_neither
 
<https://www.researchgate.net/publication/242583682_Zero_divided_by_zero_zero_or_one_or_neither>

(I believe I have alluded to this note before on this mailing list, when 
questions arose about the value of 0%0 in J.) 

> On15 Jan 2018 18:50:31 +0100, Erling Hellenäs <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> 
> The question is what should be the result of 0%0 ?
>    0%0
> 0
> https://brilliant.org/wiki/what-is-0-0/ 
> <https://brilliant.org/wiki/what-is-0-0/>

——
Murray Eisenberg                                [email protected]
Mathematics & Statistics Dept.       
Lederle Graduate Research Tower      phone 240 246-7240 (H)
University of Massachusetts                
710 North Pleasant Street                 
Amherst, MA 01003-9305




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