Extending APL to Infinity

Extending APL to Infinity
E.E. McDonnell
Jeffrey O. Shallit

Abstract
1.	Introduction
	1.1	Why have an infinity?
	1.2	Undefined versus indeterminate; pole
2.	Orthography
	2.1	Complex complications
3.	Representation in machine form
4.	Infinite elements as results; as arguments
	4.1	Infinities as results of monadic scalar functions
	4.2	Infinities as arguments of monadic scalar functions
	4.3	Infinities as results of dyadic scalar functions
	4.4	Infinities as arguments of dyadic scalar functions
	4.5	Infinities as results of mixed functions
	4.6	Infinities as arguments of mixed functions
5.	Infinite arrays
	5.1	Implementing infinite arrays
	5.2	Scalar functions of infinite arrays
	5.3	Mixed functions of infinite arrays
	5.4	Derived functions of infinite arrays
	5.5	Display of infinite arrays
	5.6	The functions `diag` and `idiag`
Acknowledgments
References