RESEARCH ARTICLES PRESENTED AND PUBLISHED BY DR. J. BRIERLY
RESEARCH ARTICLES PRESENTED AND PUBLISHED BY DR. J. BRIERLY
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Stoch.doc is a research article explaining an interesting methodology for rating a weapon's effectiveness. The methodology is a probabilistic differential equation approach to comparing competing weapon systems. The method could be integrated into any of a number of battle simulation models employed by the DOD. Principal Clusters is a research article that has been presented at a recent AMS Conference held at the Wayne State University. The article relates to Dr. J. Brierly's doctoral dissertation but was not published as part of it. EVOLUTION OF AN ILS EXPERT SYSTEM TECHNOLOGY This article gives a comparison between the traditional expert system based on directed graphs to Dr. Brierly's method based on heuristics obtained through statistical frequencies. The traditional expert system relies on expert opinion for interjecting heuristics. Dr. Brierly's method lets actual data determine heuristics. Fuzzy set theory and Boolean logic plays a role in both types of expert systems. Projection of Fleet Age/Usage Mix This article was published in the Annals of the Society of Logistics Engineers in the early 90s. The method employs a closed set of equations derived through a calculation requiring multiple integration to project the usage and age of a fleet of vehicles based on its current and projected usage patterns. The method perfects earlier simplistic methods employed by the Army Materiel Systems Analysis Agency (AMSAA) that were developed in order to support acquisition of many types of support vehicles with predictable usage patterns. The article found at the preceding hyperlink appeared in the International Society of Logistics Engineer's Spectrum jounal in the mid 90s. It was judged to be the best article published in this professional journal during a two year period of its quarterly period of issuance. The article is of general interest to logisticians, because it summarizes the main directions of computer mathematical modeling that are being applied to logistics analysis.
The article found at the above hyperlink gives a simple proof of the famous Fermat's Last Theorem using only mathematics known at the time of Fermat. The proof requires only a knowledge of basic algebra. All are welcome to review and submit comments through the discussion page of this website or directly to the author through his email: jbrierly@comcast.net. Unlike the needlessly circuitous claimed proof of Andrew Wiles from Princeton university mathematicians at all levels of development should be able to read this concise proof which in all probability is what Fermat had in mind when he claimed that he had solved the problem but could not fit it into the margin of his manuscript. The above hyperlink displays an article on nonparametric statistics along with a description of the algorithm programmed to apply nonparametric statistics to sampling problems where the form of the distribution is unknown. The author presented the article at a Society of Logistics Engineer (SOLE) symposium in the mid nineties. The article uses Wilks tolerance methods. The above hyperlink displays a copyrighted article by the owner of this website discussing the consequences of viewing gravity as a repulsive force rather than an attractive one. The article is being registered with the Library of Congress. All are welcome to make comments on the substance of this article. It is a complete reversal of the way that gravity has been considered in physics. |
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