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The paper develops properties of coherent systems from a set theoretic viewpoint with particular emphasis on modules of coherent systems. The methods used here demonstrate concisely the previously reported properties of modules as well as some new properties. Specifically, min path sets and min cut sets of a coherent system are given several characterizations. The modularity of a subset of components is given a new characterization which is used as a definition. The situation under which a set and its complement are simultaneously modules is characterized. Finally, the established three modules theorem is given a new proof. (Author)
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Published in
Monterey, California
Edition Notes
Title from cover.
"June 1971"--Cover.
"NPS-55BD71062A"--Cover.
DTIC Identifiers: Modules (mathematics), blocking systems (mathematics).
Author(s) key words: Coherent systems, modules, blocking systems, simple games.
Includes bibliographical references (p. 17).
"Approved for public release; distribution unlimited"--Cover.
Technical report; 1971.
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