MATHEMATICAL FORMULATION OF BASIC PROCEDURES IN DOCUMENTATION,

Abstract

Certain basic aspects of documentation, especially the relationship of a ''message'' to alternate means for its expression and recording were studied. Attention was also directed to various documentation processes in which the message remains invariant, though the symbolism for expressing it may be greatly altered. In considering mathematical formulation, this led to such concepts as the message as a set, which may find expression in an equivalence class of sets, each of which is a version of a given message. The concept of set, in turn, led us to such concepts as sets of sets, sub-sets, and irreducible sub-setsalso sometimes called ''unit elements.'' The concepts of mapping and inverse mapping were also shown to be directly involved when dealing with such equivalence classes. These concepts are of essential importance for considering in a uniform and rigorous manner a very wide range of documentation processes ranging from translating from one natural language to another to alphabetical indexing, encoding for machine searching, and abstracting, performed either by people or by programmed machines. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 13, 1960
Accession Number
AD0429098

Entities

People

  • James W. Perry
  • William Goffman

Organizations

  • Case Western Reserve University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Language
  • Natural Languages

Readers

  • Calculus or Mathematical Analysis
  • Computational Linguistics
  • Systems Analysis and Design