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Papers On Mathematics
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Data Presentations Graphs
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This paper explains the use of different graphs, tables, and charts that have particularly interesting characteristics. Bibliography lists 5 sources.
Filename: JGAgraph2.rtf
Decision-Making Statistics
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A 7 page paper responding to the Week 4 simulation for University of Phoenix course QNT/530 - Statistics and Research Methods for Managerial Decision-Making. Six questions pose various points about Coffee Times decisions for maintaining and stocking two coffee kiosks during an Asian Sales festival. Bibliography lists 3 sources.
Filename: KSstatsDecide.rtf
Demand Estimation Case Study
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5 pages. This model paper is an example of how the student would go about presenting a report based on statistical findings. This report points out the best equation to use in summarizing the information requested as well as explaining any supporting decisions such as a summary of the rejected equations and why they were rejected. This paper is in the format of a cover letter, an executive summary, and then the report itself. Bibliography lists 3 sources.
Filename: JGAdemes.wps
Descriptive Statistics: Income Comparison
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A 6 page paper discussing application of descriptive statistics to incomes in New York and Texas as reported by the US Census Bureau. The paper does not provide figures beyond mean and standard deviation, but it discusses those two values in addition to median, mode, range, confidence interval, t-test and ANOVA. The paper includes a table providing Census data of incomes in the two states in 1999. Bibliography lists 3 sources.
Filename: KSstatDescr.rtf
Determining a Hamiltonian Circuit Route
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This 3 page paper uses the neighborhood algorithm, the sorted edges algorithm and the brute force method to assess the best journey route between 5 towns. The bibliography cites 2 sources.
Filename: TEhamroute.rtf
Differential Equations
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An 18 page research paper on every available aspect of differential equations including Laplace Transforms and much more. A number of graphical illustrations are provided and the bibliography lists more than 8 sources.
Filename: Diffequa.wps
Dyscalculia
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This is an 8 page paper on the learning disability dyscalculia. Dyscalculia is a developmental mathematical learning disability which is often considered part of or the same as dyslexia, the developmental reading and writing disability. While dyslexia has been known to cause some dysfunction in the understanding of mathematical elements, dyscalculia is much more complex in that it also includes over fifty different distinct classes of mathematical disabilities which include elements of confusion of abstract and strategic thought, an inability to properly construct time, schedules, or visual representations of places and directions as well as a persons inability to conduct many tasks necessary in the running of a household such as financial planning, balancing checkbooks and credit cards, and may also include instances of people being habitually late, lost or unable to locate objects among other factors. Researchers in special education feel that the disability of dyscalculia is not being addressed in the educational systems because largely Americans are more accepting of being mathematically deficient but find that being deficient in reading and writing is not socially acceptable.
Bibliography lists 5 sources.
Filename: TJDysca1.rtf
Education Research: Reading Levels
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A 3 page paper using reading level scores of two samples of 10 students each to determine t test results of comparing the two groups. The purpose of the paper is to describe a problem in education that can be statistically analyzed. Bibliography lists 3 sources.
Filename: KSeduResRdg.rtf
Einstein's Mathematics
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In 5 pages the author discusses Albert Einstein's contributions to the field of science and mathematics while explaining such theories as E=mc2. Bibliography lists 8 sources.
Filename: Einsmath.wps
Employee Compensation Research and Analysis
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A 20 page case study of an HR compensation issue and a statistical attempt to discover whether a relationship exists between longevity with Acme Furniture and salary paid. The paper discusses in detail sampling and statistical methods, including descriptive statistics and regression analysis. Findings of statistical analysis indicates that there is indeed a relationship between the two variables, but statistical analysis alone does not explain why that relationship exists. The discussion section introduces other possibilities, including Maslow's hierarchy of needs and the existence of motivators other than compensation alone. Includes 6 tables, 1 chart and the regression equation. Bibliography lists 9 sources.
Filename: KShrCompRes.rtf
Establishing Correlation
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A 3 page paper designating four pairs of variables as being either positively, negatively or minimally correlated. In the present assessment of correlation between several sets of two variables each, there is no quantitative measure either given or possible with the data provided. Bibliography lists 2 sources.
Filename: KSstatsCorrel.rtf
Euclid of Alexandria; The Elements
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This 11 page paper looks at the work of the ancient mathematician Euclid and his work The Elements. The paper looks briefly at the life of Euclid and then at the work The Elements, including some of the contents of the work and how it may be used. The bibliography cites 7 sources.
Filename: TEeuclid.rtf
Example Calculations
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This 3 page papers shows the student how to perform calculations to convert imperial to metric conversion and exchange rate calculations. The student asks specific questions and these are shown in a step by step manner so that a student could follow the same steps with other questions. The bibliography cites 3 sources.
Filename: TEexmplcal.rtf
Expanding the Funeral Home
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A 7 page paper statistically assessing a space use problem at a funeral home. Stevens Mortuary was founded during the Depression in a wonderful old Victorian house near the center of town. The house itself was old at the time, and it has been in continuous service for the entire time that the business has been operational. The Stevens family currently faces the need to decide whether and how to expand the internal spaces. The paper identifies two alternatives for renovation and applies ANOVA to select the most attractive one. Bibliography lists 3 sources.
Filename: KSstatsFuneral.rtf
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 Radners book Science and Unreason to expose Scudders 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 Gausss 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
Interpreting Statistical Results
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This 3 page paper answers 12 short questions set by the student concerning statistical data given in a table looking 4 sample groups asking about at the eating habits of male and female students and non students. The bibliography cites 2 sources.
Filename: TEfoodcase.rtf
Inuitive and axiomatic mathematics
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A paper which considers the difference between intuitive and axiomatic mathematics, and some of the reasons why the former is most commonly found in school curriculums, whereas the latter forms part of university level studies. Bibliography lists 11 sources.
Filename: JLaxiom.rtf
Is Salary Correlated with Education Length
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This 7 page paper uses data supplied by the student in order to assess if there appears to be a positive correlation between wages and length of time an individual has spent in education. The paper undertakes a statistical analysis and an hypothesis test. The bibliography cites 2 sources.
Filename: TEedsalary.rtf
Is There A Relationship Between Experience And Wages?
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This 7 page paper uses data supplied by the student to assess whether or not there is a link between the length of job experience and the level of wages earned. The paper uses statistical analysis to look at the data and performs an hypothesis test.
Filename: TEexpwage.rtf
Issues in Mathematical Decidability
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This 8 page paper looks at the definition of decidability and then answers some specific questions posed by the student to do with its use and interaction in calculus. The bibliography cites 5 sources
Filename: TEdecida.wps
John Napier / The Creator of Logarithms
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A 9 page research paper on the life, works, and mathematical contributions of John Napier (1550-1617) -- the man most commonly associated with the creation of Logarithms. Napier also developed methods for multiplying and dividing small rods known as Napier's Bones, a device that was the forerunner of the slide rule. Some sample equations and a glossary of terms (defined) are included. Bibliography lists 12+ sources. Napier.wps *A 10 page version of this report is also available with more personal analysis as
Filename: Napier2.wps
John Napier / The Creator of Logarithms
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A 9 page research paper on the life, works, and mathematical contributions of John Napier (1550-1617) -- the man most commonly associated with the creation of Logarithms. Napier also developed methods for multiplying and dividing small rods known as Napier's Bones, a device that was the forerunner of the slide rule. Some sample equations and a glossary of terms (defined) are included. Bibliography lists 12+ sources.
Filename: Napier.wps
Jordanus Nemorarius And Leonardo Pisano Fibonacci
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A 3 page paper that reports some of the contributions made to mathematics by these two early 13th century mathematicians. Jordanus, for instance, substituted letters for numbers and Fibonacci brought the decimal system to his world. Bibliography lists 4 sources.
Filename: PGjrfb.RTF
Josiah Willard Gibbs
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This 15 page paper provides a biographical sketch
of the life of Josiah Willard Gibbs, the great American mathematician
and professor at Yale. Bibliography lists 4 sources.
Filename: KTjsgibb.wps
Kinetics
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A 5 page paper which provides a general summary of kinetics, and considers the evolution of kinetic theory. Bibliography lists 5 sources.
Filename: TGkinetc.rtf