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Understanding arrays

Published: 26 July 1982 Publication History

Abstract

Papers on general arrays, arrays of arrays, nested arrays, etc. have been in the literature since the early seventies. Many of these papers give readers the feeling that the subject is intricate and requires a large number of functions. Much of the problem was the lack of a notation for talking about such arrays. This paper will discuss a notation for arrays that contain arrays as items and show that the concept of such arrays is easy to comprehend.

References

[1]
Bernecky and Iverson, "Operators and Enclosed Arrays", 1980 APL users meeting, 319-331.
[2]
Brown, J.A., "A Generalization of APL", Doctoral Thesis, 1971, Dept. of Computing and Information Science, Syracuse University. New York, Clearing House 74h004942 AD-770488.
[3]
Brown, J.A., "APL Language Extensions", Proceedings of SEAS 1978 anniversary meeting, Stresa, Italy, Vol. 1, pp. 335-353.
[4]
Quad, Vol. 9, No. 4 - part 1, June, 1979, pp. 148-155. {Br3} Brown, J.A., "Evaluating Extensions to APL", APL Quote Quad, Vol. 9, No. 4 - part 1, June, 1979, pp. 148-155. {Ch1} Cheney, "Nested arrays reference manual", STSC 1981
[5]
Ghandour, Z. and Mezei J., "General Arrays, Operators and Functions", IBM Journal or Research and Development, Vol. 17, no. 4, July, 1973.
[6]
Gull, W.E. and Jenkins, M.A., "Recursive Data Structures in APL", CACM vol. 22, no. 4, Feb. 1979, pp.79-96.
[7]
Haegi, H.R., "The Extension of APL to Treelike Data Structures", APL Quote Quad, Vol. 7, no.2.
[8]
Iverson, K.E., "Operators and Functions", IBM Research report #7091, Yorktown Heights New York.
[9]
Mercer, R., "Extensions of APL to include Arrays of Arrays", University Computing Center Report, University of Mass., Amherst.
[10]
More, T., "Notes on the Development of a Theory of Arrays". Philadelphia Scientific Center report 320-3016, May 1973.
[11]
More, T., "Notes on the Axioms for a Theory of Arrays", Philadelphia Scientific Center report 320-3017, May 1973.
[12]
More, T., "Axioms and Theorems for a Theory of Arrays", IBM Journal of Research and Development, Vol. 17, no. 2, 1973.
[13]
More, T., "A Theory of Arrays with Applications to Databases", IBM Cambridge Scientific Center report G320-2107, Sept 1975.
[14]
More, T., "Types and Prototypes in a Theory of Arrays", IBM Cambridge Scientific Center report g320-2112, May 1976.
[15]
Smith, R., "Nested arrays, Operators and Functions", APL 81 Proceedings, 286-290.

Cited By

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  • (2019)Transfinite nesting in array-theoretic figures, changes, rigs, and arms. Part IACM SIGAPL APL Quote Quad10.1145/166198.16621924:1(170-184)Online publication date: 28-Feb-2019
  • (1993)Transfinite nesting in array-theoretic figures, changes, rigs, and arms. Part IProceedings of the international conference on APL10.1145/166197.166219(170-184)Online publication date: 1-Sep-1993
  • (1984)Polyvalent functions, operators, strand notation and their precedenceProceedings of the international conference on APL10.1145/800058.801106(247-254)Online publication date: 11-Jun-1984
  • Show More Cited By

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Information & Contributors

Information

Published In

cover image ACM SIGAPL APL Quote Quad
ACM SIGAPL APL Quote Quad  Volume 13, Issue 1
September 1982
380 pages
ISSN:0163-6006
DOI:10.1145/390006
  • Editors:
  • W. H. Janko,
  • W. Stucky
Issue’s Table of Contents

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 26 July 1982
Published in SIGAPL Volume 13, Issue 1

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Cited By

View all
  • (2019)Transfinite nesting in array-theoretic figures, changes, rigs, and arms. Part IACM SIGAPL APL Quote Quad10.1145/166198.16621924:1(170-184)Online publication date: 28-Feb-2019
  • (1993)Transfinite nesting in array-theoretic figures, changes, rigs, and arms. Part IProceedings of the international conference on APL10.1145/166197.166219(170-184)Online publication date: 1-Sep-1993
  • (1984)Polyvalent functions, operators, strand notation and their precedenceProceedings of the international conference on APL10.1145/800058.801106(247-254)Online publication date: 11-Jun-1984
  • (1984)Polyvalent functions, operators, strand notation and their precedenceACM SIGAPL APL Quote Quad10.1145/384283.80110614:4(247-254)Online publication date: 1-Jun-1984

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