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Papers On Mathematics
Page 9 of 16
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Newton and Leibniz
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In this 7 page paper we look at how both of these men can be seen as the founders of calculus. The paper considers their ideas and the ways in which they were similar was well as the controversy over the publishing of these ideas. The bibliography cites 6 sources.
Filename: TEcalcul.wps
Newton’s Calculus
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A 6 page paper discussing events and conditions leading to Sir Isaac Newton’s development of calculus in the mid-17th century. An expansion of “Sir Isaac Newton” (PGnewton.rtf) that provides background information on Newton’s life and the dispute with Leibniz, this paper focuses on calculus and its significance during and after the time of its invention. Bibliography lists 7 sources.
Filename: KSnewtonCalc.rtf
Number Theory / Chaos Theory
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A 10 page paper that presents the basics of chaos theory, including mathematical information in a historical context (theorists). The paper covers Lorenz, Ruelle and Takens, Benoit Mandelbrot, Einstein, Shaw and the Santa Cruz collaborative, and modern submissions. The paper concludes with a look at the possibilities of application of chaos theory to neural nets. Bibliography lists 8 sources.
Filename: Chaosthy.wps
Pascal’s Triangle
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This 4 page paper provides an overview of the central elements of Pascal's triangle. Bibliography lists 4 sources
Filename: MHPascal.rtf
Pascal’s Triangle
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This 4 page paper provides an overview of the central elements of Pascal's triangle. Bibliography lists 4 sources
Filename: MHPasca2.rtf
Pierre de Fermat
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A 5 page research paper that looks at the life and contributions of Pierre de Fermat, the founder of modern number theory and probability theory. The writer also looks at Fermat's last theorem, the world's 'most famous unsolved mathematical puzzle.' Bibliography lists 5 sources.
Filename: 99fermat.wps
Piggy Bank Cash Back Promotion
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A 3 page memo to Piggy Bank's product development team explaining the process of selecting hypotheses and the rationale of including a null hypothesis. Bibliography lists 3 sources.
Filename: KSstatPigBnk.rtf
Predicting the Advertising Budget for Blues, Inc.
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This 3 page paper uses various statistical methods to predict an advertising budget for Blues, Inc., a company that sells denim wear. Bibliography lists 1 source.
Filename: HVBluBud.rtf
Probability
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This 7 page gives a comprehensive view of probability, explaining how to calculate probabilities, looks at the basic concepts and how probabilities are used giving examples such as decision making, marketing and medical research. The bibliography cites 4 sources.
Filename: TEprobab.rtf
Probability and Sampling
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This is a 5 page paper discussing probability sampling. To properly understand inferences within a population, researchers have developed methods of sampling which combine with the concept of probability to acquire the desired results. There are various types of probability sampling each of which has its own advantages in regards to capturing a specific trend within the population. Sampling sizes are based on several factors as well which include level of confidence, population size, and sampling error among other factors.
Bibliography lists 6 sources.
Filename: TJprobs1.rtf
Probability Case Study
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This 3 page paper examines a probability cases presented by the student. A couple are convicted of a crime based on their description and the statistical probability of the couple being a 1 in 12 million chance, calculated with independent variables. The paper looks at how and why the conviction may have been overturned at appeal, considering the way the probability was calculated and the way that probabilities were determined in the first place.
Filename: TEprobcase.rtf
Probability in Practice
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A 3 page paper addressing the fact that probability analysis often goes awry. This paper explores the potential problems that could have led to the failure of all of the engines on a three engine aircraft. Bibliography lists 1 source.
Filename: PPprobab.rtf
Pythagoras & Morality In Greek Philosophy
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A 9 page paper on theories of morality in Greek philosophy focusing upon the works of Pythagoras. Pythagoreanism is seen only as a theory of the universe but also as a way of salvation. Bibliography lists 5 sources.
Filename: Pythagor.wps
Pythagoras / The Philosopher, The Mathematician
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A 15 page account of what is known of the life and scientific and mathematical contributions of Pythagoras. Particular attention is paid to the religious beliefs of his Pythagorean Order and how their beliefs has made it difficult to get a true understanding of Pythagoras' contributions to science and mathematics. A summary of the contributions which have been attributed to Pythagoras is included. Emphasis is placed on the Pythagorean Theorem, the principles which determine the concordant scale, and musical spheres. Information is also provided regarding current thought regarding Pythagoras' beliefs concerning vegetarianism, the human and animal soul and reincarnation. A brief overview of his ethnic origins, his birthplace, his studies, and travels is also included. Bibliography lists six sources.
Filename: Pyth.wps
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