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

Gender and the Capacity for Learning Mathematics
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An in-depth, 20 page research paper in which the writer seeks to determine whether which sex is more apt to have problems grasping math concepts at an early age. Report contains analysis, methodology, discussion, etc; Numerous studies are cited and it is found that while girls generally perform better, they are more likely to avoid harder levels of math than are their male counterparts. Standard bibliography lists 20+ sources and a FREE annotated ('working') bibliography is included !
Filename: Mathgend.wps

Genetic Predisposition and Physical Performance: Height as It Relates to Performance in the NBA
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A 12 page exploration of whether genetic predisposition affects physical performance. The author utilizes statistics from the NBA to demonstrate that height is largely irrelevant in regard to the relative performance of six specific NBA players. Summaries of field goals and free throws attempted verses those completed and average rebound points per game are discussed for Kevin Garnet (Minnesota Timberwolves), Dirk Nowitz (Dallas Mavericks), Shaquille O'Neil (Miami Heat), Zach Randolph (Portland Trailblazers), Elton Brand (Los Angeles Clippers) and Shawn Marion (Phoenix Suns). These summaries are then presented in tabular and graphic format and conclusions made as to the importance of height as it relates to these players' performance. Bibliography lists 5 sources.
Filename: PPgenHg2.rtf

Giovanni Girolamo Saccheri: His Life and Contributions
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6 pages. A biographical and historical account of the life of Giovanni Girolamo Saccheri with special emphasis on the contributions he made to the world of mathematics, including his book Logica Demonstrativa. Bibliography lists 4 sources.
Filename: JGAgiovg.rtf

Girolamo Cardano / Mathematician
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8 pages in length. Cardano was a 16 century Italian mathematician best known for his work entitled "Ars magna" (the "Great Art"), from which many new ideas in algebra were systematically presented. Among them are Cardano's rule and the linear transformations that eliminate the second degree terms in a complete cubic equation. Report is written in part as a sentence outline and contains various pictorial examples of Cardano's formulas. Bibliography lists 7 sources.
Filename: Cardano.wps

Goldbach's Conjecture: An Abstract
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This 1 page paper provides an overview of an abstract of a research paper on the mathematician Christian Goldbach and his prime conjecture.
Filename: MHGoldbl.rtf

Golden Mean, Irrational Numbers & Fibonacci Series
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A 3 page research paper that discusses the interrelated nature of the Golden Mean, irrational numbers and Fibonacci series numbers. The writer defines these concepts and then discusses them in regards to music. Bibliography lists 2 sources.
Filename: khmusnum.rtf

Gottfried Wilhelm von Leibniz
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A 5 page paper on the life and works of Gottfried Wilhelm von Leibniz. Bibliography lists 5 sources.
Filename: RAlzv.rtf

Graph Theory
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A 6 page overview of the mathematical discipline of graph theory. As a field of study, graph theory has nothing at all to do with what most people normally associate with the word 'graph,' and is a specialized field. Applications range from analyzing children's games to finding the furthest stretch of graph theory principles. Bibliography lists 6 sources.
Filename: Graph.wps

History and Use of the Number "e"
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This 5 page paper introduces the topic with a modern day look at compound interest, then delves into the history of the number e. Both early and modern uses are discussed. Bibliography lists 5 sources.
Filename: SA114e.wps

History of Calculus
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Calculus provides methods to deal with varying quantities. O'Connor & Robertson (1996) state that it has been evolving since Zeno in 450 B.C.E, who was supposed to be the first to posit an equation based on the infinite. However, the first infinite equation is believed to have been introduced by Archimedes in 250 B.C.E., bringing with it leaps in logic from theorists like Barrow, Newton and Leibniz. Bibliography lists 4 sources. jvHisClc.rtf
Filename: jvHisClc.rtf

Hyperbolas and Parabolas
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A 12 page research paper that explores the fascinating nature of these conic sections. The writer discusses the history of conic investigation, their definitions, and then explores multiple applications and uses of these concepts. Bibliography lists 7 sources.
Filename: khhyppar.rtf

Hypothesis Test And Results
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This 8 page paper is based on data provided by the student which is used to perform an ANOVA test. The raw data, hypothesis test and potential explanation for the results are all presented.
Filename: TEasiast.rtf

Hypothesis Testing and Regression Analysis
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A 9 page paper addressing the requirements of Unit 5 IP including hypothesis testing, ANOVA and regression analysis. Bibliography lists 4 sources.
Filename: KSstatHypRegr.rtf

Integer Factorization
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A 6 page paper discussing the concept of integer factorization, providing examples and listing several shortcuts. Integer factorization can be difficult to grasp at first, but it becomes quite easy with practice and with assimilation of the shortcuts common in finding factors of a number. The factor tree is useful for identifying the prime factors of numbers, though it can become quite lengthy when beginning with very large numbers. Resulting factors simplify other operations, such as finding least common denominators of fractions. Bibliography lists 4 sources.
Filename: KSmathIntFactor.rtf

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