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Papers On Mathematics
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Expected Utility and the Pseudoscience of Death: An Address of Two Essay Questions
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A 6 page paper, two pages of which are devoted to determining greater utility in a game of chance involving different colored marbles and three pages of which are devoted to analyzing the article “Overcoming the Power of Death” by Parker Scudder II in terms of its logic. The author uses the criteria outlined in Daisie and Michael Radner’s book “Science and Unreason” to expose Scudder’s article as pseudoscience. No additional sources are listed.
Filename: PPutilit.rtf
Factor Analysis, Multi-Dimensional Scaling, and Cluster Analysis
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A 3 page paper discussing these statistical analysis tools. The paper identifies a companies using each, and then provides an email to upper management explaining the use of each in business research. Bibliography lists 4 sources.
Filename: KSstatsBizUse.rtf
Factoring and the Common Denominator
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This 3 page paper is written in three parts. The first part outlines a general strategy for factoring. The second part of the paper discusses why a lowest common denominator (LCD) is needed when adding and subtracting with rational expressions, the last part of the paper looks at how the common factor may be determined.
Filename: TEfacden.rtf
Fear of Mathematics (Math Anxiety)
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9 pages in length. A comprehensive look at the problem of 'math anxiety' and numerous studies that have attempted to help improve our understanding of its treatment. Among other things, the writer discusses how to quantitatively assess Math Anxiety and concludes with recommendations for helping young children who suffer from it. Bibliography lists 20+ sources.
Filename: Mathanxi.wps
Forecasting Demand
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A 4 page paper comparing the graphs of raw sales data and three- and five-day moving averages of that data. ABC Floral Shop has data on the number of geraniums it sold over a two-week period and wishes to use that data to forecast demand for other periods. It chooses to assess demand in terms of a moving average, beginning its assessment with a three-day and five-day moving average using its original two-week data. The paper concludes that the three-day interval provides the most accurate forecast. Bibliography lists 3 sources.
Filename: KSstatDemand.rtf
Game Theory
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This 4 page paper uses game theory to analyze the U.S. invasion of Iraq. Bibliography lists 2 sources.
Filename: HVGameTh.rtf
Gauss and His Contribution to Number Theory
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This 8 page paper examines the way in which Gauss added to number theory, looking specifically congruence and quadratic reciprocity the paper shows how and why this was the start of modern number theory. The law of quadratic reciprocity is also explained with the use of examples. The paper then goes on to look at how Gauss’s work can be seen as useful today with example of forecasting with the use of the ordinary least squares mouthed (OLS). The bibliography cites 8 sources.
Filename: TEgauss.rtf
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