# Zero divided by zero

@inproceedings{McDonnell1976ZeroDB, title={Zero divided by zero}, author={Eugene E. McDonnell}, booktitle={APL '76}, year={1976} }

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.

## 13 Citations

Functional programming, the IEEE floating point standard and APL

- Computer ScienceAPL '87
- 1987

This paper explores uses for this class of bit patterns, among which are provisions for a variety of infinities and a flag for undefined entities, and proposes that the functional programming aspect of APL be strengthened by the provision of void returns.

Fuzzy residue

- Computer ScienceAPL '79
- 1979

A definition for a fuzzed residue function is proposed which resolves the difficulties users have complained of, but certain points of continuing difficulty remain, where the limitations of machine arithmetic continue to defeat the attempt to model the real number system.

A dictionary of APL

- EducationAPLQ
- 2007

APL is a formal, imperative language that may be called an instruction, and may be executed to produce a result, which is shown on the following line without indentation.

A survey of extensions to APL

- MathematicsAPL '82
- 1982

A survey of proposed extensions to the APL language is made with emphasis placed on the motivations for various proposals, the differences between them and the consequences of their adoption. Some…

Univer sity of Amsterdam Programming Research Group Inversive Meadows and Divisive

- Mathematics, Sociology
- 2009

An inversive meadow is a commutative ring with identity and a total multiplicative inverse operation satisfying 0 = 0. Previously, inversive meadows were shortly called meadows. In this paper, we…

Mathematical roots of J

- MathematicsAPL '97
- 1998

ARRAYS. A P L arrays were based on the treatment in tensor analysis, with ranks 0, 1, 2, etc. assigned to scahrs, vectors, matrices, etc. This led to the fruitful notion of assigning corresponding…

Inversive Meadows and Divisive

- Mathematics
- 2011

Inversive meadows are commutative rings with a multiplicative identity element and a total multiplicative inverse operation satisfying 0−1 = 0. Divisive meadows are inversive meadows with the…

UvA-DARE ( Digital Academic Repository ) Inversive meadows and divisive

- Mathematics
- 2011

Inversive meadows are commutative rings with a multiplicative identity element and a total multiplicative inverse operation satisfying 0−1 = 0. Divisive meadows are inversive meadows with the…

UvA-DARE ( Digital Academic Repository ) Inversive meadows and divisive meadows

- Mathematics
- 2011

Inversive meadows are commutative rings with a multiplicative identity element and a total multiplicative inverse operation satisfying 0−1 = 0. Divisive meadows are inversive meadows with the…

APL since 1978

- Computer ScienceProc. ACM Program. Lang.
- 2020

The details of what are the most significant language features that made it through the occasionally unnatural selection imposed by the loss of habitats that disappeared with hardware, software platforms, and business models are discussed.

## References

A notation for the GCD and LCM functions

- MathematicsAPL '75
- 1975

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.