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Papers On Mathematics
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Testing Hypotheses
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A 5 page table template containing answers to six questions discussing hypothesis testing . Each problem requires H[sub 0] and H [sub A] in equation form, significance level, critical value and others leading to a conclusion of whether to accept or reject the null hypothesis. Bibliography includes 4 sources.
Filename: KSstatsTestHypTemp
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 Geometry of a Ship's Masts
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This 5 page paper provides an overview of the geometry of a ship's mast. Bibliography lists 2 sources.
Filename: MHGeoSh1.rtf
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
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