Statistics: T-Ratio and the Homogeneity of Variance
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5 pages in length. Identifies, definies and interprets the methods for evaluating the non-homogeneous data sets. Looks at both t-ratios and homogeneity of variance. Bibliography lists 6 sources.
Filename: JGAtrtio.wps

Teaching Maths
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This 5 page paper considers the role of small group teaching in mathematics according to Cohen’s “Equal Exchange Model”. The witer considers different mathematical topics to differentiate between the topics that should be taught individually, those that can increase value to the student when small groups are used and those where a combination approach may be best. The bibliography cites 4 sources.
Filename: TEtchmth.rtf

Testing Dow Chemical’s Commitment to the Triple Bottom Line
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An 8 page paper elaborating on the problem statement, hypotheses, sampling and statistical method used in the companion paper, KSmgmtDowTBL.rtf. The proposed method is that of applying regression analysis to Dow’s stock price performance after April 1994, the date that the company announced it would halt production of 1,1,1 trichloroethane by December 1995, years in advance of the cessation required either by international treaty by 2005 or by the US 1990 Clean Air Act by 2002. The goal is to determine whether Dow’s commitment to social responsibility and sustainability correlates with financial performance (i.e., the triple bottom line). Bibliography lists 8 sources. Includes an appendix containing expenditures 1993-2002 for environmental restoration and prevention, and another containing stock price data for the sample period.
Filename: KSmgmtDowTBLmeth.rtf

The Creative Genius of Albert Einstein
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This 7 page paper look's at the character and through processes of Albert Einstein. The way in which many discoveries were only stepping stones to the next greater discovery is discussed along with the effect that his genius had on his life. The bibliography cites 6 sources.
Filename: TEalbein.wps

The Derivative In Average & Instantaneous Velocity
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A 5 page paper explaining both average and instantaneous velocities. The writer demonstrates the relationship between the derivative and these primary functions. Bibliography lists 4 sources.
Filename: Velocity.wps

The Ethics of Risk
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A 5 page essay that examines Peter L. Bernstein's history of the number theory of risk, "Against the Gods," from the standpoint of the ethics of risk. The writer argues that the development of this field has led humanity on a path toward more ethical behavior. No additional sources cited.
Filename: 99riskpb.wps

The Evolution of Algebra
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5 pages in length. In this paper the history of Algebra is presented and the role that it plays in mathematics today. There is also discussion on some of the mathematicians who played a key role in the advancement of Algebra as well as examples of applications in which Algebra is used. Bibliography lists 5 sources.
Filename: JGAalgbr.wps

The Fibonacci Sequence and the Golden Mean in Art
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A 6 page paper discussing the history and development of the Fibonacci sequence; the development of associated ratios; and their applicability to visual images. Fibonacci published his sequence in 1202, and da Vinci used the concept of "thirds" in much of his work as did some other artists of the period. The paper provides the mathematical basis as well as illustration. da Vinci's "The Annunciation" is used for example purposes. Bibliography lists 5 sources.
Filename: KSfibonacci.wps

The Future of Graph Theory in the Realm of Computer Science
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This 3 page paper defines and explores graph theory in mathematics. How it applies to computer science, and where it can take it in the future, is the focus of this paper. Bibliography lists 4 sources.
Filename: SA311grp .rtf

The Game Of Blackjack / Card Counting & Other Strategies
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This 5 page paper provides an overview of the game of Blackjack. A brief history and explanation of the game is included but the focus is on methods used to increase the odds of winning the game. Card counting, perecentages, & commonsense ratios are discussed and other strategies are explained in detail. Bibliography lists 5 sources.
Filename: Blakjack.wps

The History of Calculus
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This 6 page shows how calculus was derived from the studies in real analysis and lead to the development of calculus. The paper begins with the discoveries of Ancient Greece with thinkers such as Zeno of Elea and Archimedes and looks at many mathematicians such as Valerio, Cavalieri and Fermat finishing with Newton and Leibniz. The bibliography cites 3 sources.
Filename: TEcalhis.rtf

The History of Numbers
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This 14 page report discusses the ways in which humanity has developed numerical systems corresponds to the ways that the human species also developed. As human thinking grew in complexity, so did the application of numbers and the understanding of numbers. And yet, little thought is given to why human beings came up with the idea of numbers or how it is possible to count. . Modern historians and social scientists have traced the processes associated in the history and development of numbers from Europe to China, via the Classical World, Mesopotamia, South America and, even more than any where else on Earth, India and Arab lands. Bibliography lists 3 sources.
Filename: BWhisnum.wps