Zero divided by zero

@inproceedings{McDonnell1976ZeroDB,
  title={Zero divided by zero},
  author={Eugene E. McDonnell},
  booktitle={APL '76},
  year={1976}
}
  • E. McDonnell
  • Published in APL '76 22 September 1976
  • Mathematics, Philosophy
Current implementations of APL give one as the result of zero divided by zero. This paper gives the reasons for proposing that this quotient be changed to zero. Two conventions introduced by K. E. Iverson [1] for the exposition of mathematical topics are used here. 
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References

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TLDR
P proofs of some of the basic theorems concerning gcd and lcm are given to insure that they are valid for the entire domain of values for which it is proposed the APL functions be defined.