Indexing infinite arrays: Non-finite mathematics in APL

  • Authors:

  • R. W.W. Taylor

  • Affiliations:

  • National Technical Institute for the Deaf, Rochester Institute of Technology, Rochester, NY, USA

  • Venue:
  • APL '82 Proceedings of the international conference on APL
  • Year:
  • 1982

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Abstract

Standard arrays in APL are indexed by the index sets @@@@N. Generalization to arbitrary index sets allows discussion of non-finite objects such as the set of real numbers and provides a suitable notation for mathematical exposition in analysis.