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Papers On Mathematics Page 10 of 19

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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
Paper Title: Pascal’s Triangle

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
Paper Title: Pierre de Fermat

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
Paper Title: Probability

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
Paper Title: Probability and Sampling

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
Paper Title: Probability Case Study

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
Paper Title: Probability in Practice

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
Paper Title: Pythagoras & Morality In Greek Philosophy

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
Paper Title: Pythagoras / The Philosopher, The Mathematician

Pythagoras Theorem and Pythagoras Triples
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This 10 page paper explain these theories, giving examples of the formulas as well as the way in which they can be used and proven. The paper includes different illustrations to prove the theories. The bibliography cites 6 sources.
Filename: TEpytago.wps
Paper Title: Pythagoras Theorem and Pythagoras Triples

Quantitative Measures at Carstab
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A 7 page paper discussing how the use of statistics and probability can be applied in making business decisions that affect the bottom line. The example used is a chemical manufacturer (Carstab) that produces a product needed by many customers but needed by one in higher grade. Most of the lots of product that Carstab makes is acceptable to this single customer, but nearly half are not. Carstab develops a pretest resulting in indicating that 90% of what the company sends the customer will be acceptable. The paper discusses this scenario, along with a "what if" discussion of a different set of probability values. Bibliography lists 8 sources.
Filename: KSprobCarstab.rtf
Paper Title: Quantitative Measures at Carstab

Regression Analysis
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This 3 page paper uses data already supplied to undertake a regression analysis looking at the level of fatalities that may be excepted in future years as a result of driving with different blood alcohol levels. The bibliography cites 2 sources.
Filename: TEalcoholreg.rtf
Paper Title: Regression Analysis

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