Papers On Mathematics
Page 4 of 9


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
Paper Title: Golden Mean, Irrational Numbers & Fibonacci Series
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
Paper Title: Gottfried Wilhelm von Leibniz
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
Paper Title: Graph Theory
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.doc
Paper Title: History and Use of the Number "e"
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
Paper Title: History of Calculus
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
Paper Title: Hyperbolas and Parabolas
Hypotheses
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3 pages in length. The writer briefly discusses various types of hypotheses. Bibliography lists 4 sources.
Filename: TLChypoth.rtf
Paper Title: Hypotheses
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
Paper Title: Hypothesis Test And Results
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
Paper Title: Hypothesis Testing and Regression Analysis
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
Paper Title: Integer Factorization
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
Paper Title: Interpreting Statistical Results
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
Paper Title: Inuitive and axiomatic mathematics
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
Paper Title: Is Salary Correlated with Education Length
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
Paper Title: Is There A Relationship Between Experience And Wages?
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
Paper Title: Issues in Mathematical Decidability
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 (15501617)  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
Paper Title: John Napier / The Creator of Logarithms
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 (15501617)  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
Paper Title: John Napier / The Creator of Logarithms
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
Paper Title: Jordanus Nemorarius And Leonardo Pisano Fibonacci
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
Paper Title: Josiah Willard Gibbs
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
Paper Title: Kinetics
Life and works of Euler
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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.
Filename: JLeuler.rtf
Paper Title: Life and works of Euler
Linear Algebra
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A 15 page research paper on various concepts in linear algebra. The writer details multivariables, vectors, determinants, gaussian elimination, and other elements of linear algebra. Bibliography lists 6 sources.
Filename: Linalgeb.wps
Paper Title: Linear Algebra
Linear Algebra; Linear Models, the Wassily Leontief Input Output Models
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This 5 page paper examines the Wassily Leontief Input Output Models, looks at the assumption and the way in this is calculated with example calculations throughout. The bibliography cites 4 sources.
Filename: TEwassleo.rtf
Paper Title: Linear Algebra; Linear Models, the Wassily Leontief Input Output Models
LINEAR REGRESSION AND CORRELATION
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This 5 page paper gives a brief overview of linear regression, then details the correlation of the regression to independent variables. One graph included. Bibliography lists 3 sources.
Filename: MBstatlin.rtf
Paper Title: LINEAR REGRESSION AND CORRELATION
Linear Transformation On Upper Triangular Matrix
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This 6 page paper considers this complex subject, first defining both linear transformation and upper triangular matrices, going on to look at the preserving elements with sub sections on inertiapreservers, idempotent preservers and commutativity preservers. The bibliography cites 6 sources.
Filename: TElintrn.wps
Paper Title: Linear Transformation On Upper Triangular Matrix
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