An operator calculus

Authors:
Kenneth E. Iverson;Roland Pesch;J. Henri Schueler
Affiliations:
I.P. Sharp Associates, Suite 1900, 2 First Canadian Place, Toronto, Ontario, Canada M5X 1E3;I.P. Sharp Associates, Suite 201, 220 California Ave., Palo Alto, California, U.S.A.;I.P. Sharp Associates, Suite 1900, 2 First Canadian Place, Toronto, Ontario, Canada M5X 1E3
Venue:
APL '84 Proceedings of the international conference on APL
Year:
1984

Citing 5
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Abstract

This paper extends a line of APL development presented in a sequence of papers [1-7] over the past six years. The main topics addressed are the interactions of operators such as rank, composition, derivative, and inverse (i.e., the beginnings of a calculus of operators), a simplification in the complement of attributes tentatively presented in [6], and a treatment of the shapes of individual results (as defined in [7]) in the case of empty frames. Brief treatments are also given to a number of smaller matters: a transliteration or token substitution facility, the treatment of niladic functions, a custom (variant) operator, the obsolescence of certain system variables, and some changes in the function definition operator and in the treatment of supernumerary axes.