The Resource Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown
Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown
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The item Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown 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 Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown 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
- This paper introduces an important new canonical set of functions for solving Lanchester-type equations of modern warfare for combat between two homogeneous forces with power attrition-rate coefficients with "no effect." Tabulations of these functions, which we call Lanchester-Clifford-Schlafli (or LCS) functions, allow one to study this particular variable-coefficient model almost as easily and thoroughly as Lanchester's classic constant-coefficient one. The availability of such tables is pointed out. We show that our choice of LCS functions allows one to obtain important information (in particular, force-annihilation prediction) without having to spend the time and effort to compute force-level trajectories. Furthermore, we show from theoretical considerations that our choice is the best for this purpose. These new theoretical considerations apply in general to Lanchester-type equations of modern warfare and provide guidance for developing other canonical Lanchester functions (i.e. canonical functions for other attrition-rate coefficients). Moreover, our new LCS functions provide valuable information about various related variable-coefficient models. Also, we introduce an important transformation of the battle's time scale that not only many times simplifies the force-level equations but also shows that relative fire effectiveness and intensity of combat are the only two weapon-system parameters determining the course of such variable-coefficient Lanchester-type combat. (Author)
- Language
- eng
- Extent
- 1 online resource (39 pages
- Note
-
- Title from cover
- "June 1977"--Cover
- "NPS-55-77-27"--Cover
- Label
- Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare
- Title
- Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare
- Statement of responsibility
- by James G. Taylor and Gerald G. Brown
- Language
- eng
- Summary
- This paper introduces an important new canonical set of functions for solving Lanchester-type equations of modern warfare for combat between two homogeneous forces with power attrition-rate coefficients with "no effect." Tabulations of these functions, which we call Lanchester-Clifford-Schlafli (or LCS) functions, allow one to study this particular variable-coefficient model almost as easily and thoroughly as Lanchester's classic constant-coefficient one. The availability of such tables is pointed out. We show that our choice of LCS functions allows one to obtain important information (in particular, force-annihilation prediction) without having to spend the time and effort to compute force-level trajectories. Furthermore, we show from theoretical considerations that our choice is the best for this purpose. These new theoretical considerations apply in general to Lanchester-type equations of modern warfare and provide guidance for developing other canonical Lanchester functions (i.e. canonical functions for other attrition-rate coefficients). Moreover, our new LCS functions provide valuable information about various related variable-coefficient models. Also, we introduce an important transformation of the battle's time scale that not only many times simplifies the force-level equations but also shows that relative fire effectiveness and intensity of combat are the only two weapon-system parameters determining the course of such variable-coefficient Lanchester-type combat. (Author)
- Cataloging source
- AD#
- http://library.link/vocab/creatorName
- Taylor, James G
- Government publication
- federal national government publication
- Illustrations
- illustrations
- Index
- no index present
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- technical reports
- http://library.link/vocab/relatedWorkOrContributorName
-
- Brown, Gerald Gerard
- Naval Postgraduate School (U.S.)
- http://library.link/vocab/subjectName
-
- Tactics
- Combat
- War games
- Games of strategy (Mathematics)
- Type of report
- Technical report; 1977.
- Label
- Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown
- Note
-
- Title from cover
- "June 1977"--Cover
- "NPS-55-77-27"--Cover
- Bibliography note
- Includes bibliographical references (p. 38-39)
- Extent
- 1 online resource (39 pages
- Form of item
- online
- Governing access note
- "Approved for public release; distribution unlimited"--Cover
- Other physical details
- illustrations)
- Specific material designation
- remote
- Label
- Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown
- Note
-
- Title from cover
- "June 1977"--Cover
- "NPS-55-77-27"--Cover
- Bibliography note
- Includes bibliographical references (p. 38-39)
- Extent
- 1 online resource (39 pages
- Form of item
- online
- Governing access note
- "Approved for public release; distribution unlimited"--Cover
- Other physical details
- illustrations)
- Specific material designation
- remote
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<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/Further-canonical-methods-in-the-solution-of/OKTpSHY42mc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.archive.org/portal/Further-canonical-methods-in-the-solution-of/OKTpSHY42mc/">Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown</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>
