The Resource A set theoretic treatment of coherent systems, by Richard W. Butterworth
A set theoretic treatment of coherent systems, by Richard W. Butterworth
Resource Information
The item A set theoretic treatment of coherent systems, by Richard W. Butterworth represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive - Open Library.This item is available to borrow from all library branches.
Resource Information
The item A set theoretic treatment of coherent systems, by Richard W. Butterworth represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive - Open Library.
This item is available to borrow from all library branches.
- Summary
- 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)
- Language
- eng
- Extent
- 1 online resource (20 pages)
- Note
-
- 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
- Label
- A set theoretic treatment of coherent systems
- Title
- A set theoretic treatment of coherent systems
- Statement of responsibility
- by Richard W. Butterworth
- Language
- eng
- Summary
- 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)
- Cataloging source
- AD#
- http://library.link/vocab/creatorDate
- 1942-
- http://library.link/vocab/creatorName
- Butterworth, Richard Wesley
- Government publication
- federal national government publication
- Index
- no index present
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- technical reports
- http://library.link/vocab/relatedWorkOrContributorName
- Naval Postgraduate School (U.S.)
- http://library.link/vocab/subjectName
- System theory
- Type of report
- Technical report; 1971.
- Label
- A set theoretic treatment of coherent systems, by Richard W. Butterworth
- Note
-
- 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
- Bibliography note
- Includes bibliographical references (p. 17)
- Color
- black and white
- Dimensions
- unknown
- Extent
- 1 online resource (20 pages)
- Form of item
- online
- Governing access note
- "Approved for public release; distribution unlimited"--Cover
- Specific material designation
- remote
- Label
- A set theoretic treatment of coherent systems, by Richard W. Butterworth
- Note
-
- 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
- Bibliography note
- Includes bibliographical references (p. 17)
- Color
- black and white
- Dimensions
- unknown
- Extent
- 1 online resource (20 pages)
- Form of item
- online
- Governing access note
- "Approved for public release; distribution unlimited"--Cover
- Specific material designation
- remote
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.archive.org/portal/A-set-theoretic-treatment-of-coherent-systems-by/FlQW1Hwev0Q/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.archive.org/portal/A-set-theoretic-treatment-of-coherent-systems-by/FlQW1Hwev0Q/">A set theoretic treatment of coherent systems, by Richard W. Butterworth</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.archive.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.archive.org/">Internet Archive - Open Library</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item A set theoretic treatment of coherent systems, by Richard W. Butterworth
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.archive.org/portal/A-set-theoretic-treatment-of-coherent-systems-by/FlQW1Hwev0Q/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.archive.org/portal/A-set-theoretic-treatment-of-coherent-systems-by/FlQW1Hwev0Q/">A set theoretic treatment of coherent systems, by Richard W. Butterworth</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.archive.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.archive.org/">Internet Archive - Open Library</a></span></span></span></span></div>
