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Papers On Mathematics
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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 person’s 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 Radner’s book “Science and Unreason” to expose Scudder’s article as pseudoscience. No additional sources are listed.
Filename: PPutilit.rtf