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Mathematics

61. Life and works of Euler   (4  Pages, 47.8 USD)
A paper which looks at the life and works of the mathematician Leonhard Euler, and his contribution to the different fields of science, technology and mathematics in Europe in the eighteenth century. Bibliography lists 4 sources.
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62. Reliability and Validity in Statistical Studies   (5  Pages, 59.75 USD)
A 5 page paper discussing reliability and validity. The paper begins with defining the terms; how they relate to each other; and why they are important in statistics. It then identifies statistical tests, and concludes with an example. Bibliography lists 4 sources.
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63. Mathematician Leonhard Euler’s Refutation of Pierre de Fermat’s Conjecture   (3  Pages, 35.85 USD)
This is a 3 page paper discussing Euler’s refutation of Fermat’s conjecture. In 1637, French lawyer Pierre de Fermat wrote that he had “discovered a truly marvelous proof which this margin is too narrow to contain” in regards to a mathematical statement which had been unproven for over 1000 years. The basis of Fermat’s (“Last”) theorem or conjecture began with that of the Pythagoras equation [x.sup.2] + [y.sup.2] = [z.sup.2] which he proved “had an infinite set of whole number solutions” which related to the lengths of the sides of a right-angled triangle. Pythagoras did not know “how many solutions existed if the exponent in his equation were a number greater than 2”. Fermat claimed that “for any exponent greater than 2, there were no solutions at all”. During his lifetime however, Fermat often did not supply “proofs” of many of his theorems but many mathematicians since his time have been able to prove his claims to be correct except for that in relation to the Pythagoras equation. Swiss mathematician Leonard Euler (1707-1783) did however work further on many of Fermat’s theorems and “later proved that there are no solutions when the exponent is 3” and “unfortunately, an infinite number of cases remained and the case-by-case method was doomed to fail”. While Fermat’s Last Theorem proved to be difficult to prove, Euler managed to disprove and refute other assertions such as “2^(2^n) = p, where p is a prime number” and found that it is only true for the first four cases provided by Fermat. Bibliography lists 4 sources.
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64. TITANIC AND STATISTICS   (5  Pages, 59.75 USD)
This 5-page paper discusses the doomed ship, the S.S. Titanic in terms of stastical analysis of passengers. Conclusions to be drawn were that those saved on the lifeboats tended to be of the wealthy, more privileged class. Bibliography lists 1 source. (available in French translation).
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65. CRITICAL MILESTONES IN THE HISTORY OF MATHEMATICS   (5  Pages, 59.75 USD)
This 5 page paper discusses three of the more critical milestones in mathematical history. Emphasis is placed on Pythagoras as it pertains to all of the disciplines. Quotes cited from texts. Bibliography lists 4 sources.
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66. BUSINESS MATHEMATICS AND OTHER INFORMATION   (5  Pages, 59.75 USD)
This 5-page paper offers an explanation of the importance of business math and statistics. Other issues covered include calculation of insurance premiums and property taxes, as well as depreciation. Bibliography lists 5 sources.
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67. The Use of Anova for Statistical Analysis   (8  Pages, 95.6 USD)
This 8 page paper provides an overview of the statistical analysis using an anova. This paper integrates a view of assessments of nonverbal communication as a basis for the anova comparison. Bibliography lists 6 sources.
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68. Science and rationality: the Greeks   (11  Pages, 131.45 USD)
A paper which looks at the common perception in Western civilisation that the Greeks were responsible for the origins of science and rationality, with reference to pre-Hellenistic theories and the ways in which science can be defined. Bibliography lists 10 sources
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69. STATISTICAL TECHNIQUES   (6  Pages, 71.7 USD)
This 6-page paper discusses some statistical terms and when they are used such as bivariate and univariate analysis and regression versus crosstabulation. Bibliography lists 3 sources.
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70. Stem Cell Research: the Science and the Ethics   (12  Pages, 143.4 USD)
A 12 page overview of stem cell research and the potentially wonderful applications that research could be applied to in the future. The author emphasizes, however, that stem cell utilization requires the harvest of cells. The primary donors are aborted fetuses. The contention is presented that until that limitation can be overcome, stem cell applications are unethical in that they depend on taking the life of one individual to enhance the life of another. Bibliography lists 15 sources.
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