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Papers On Mathematics
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The Problems of Multicollinearity, Heteroskedasticity, Outlying and Influential Cases and Non-normally Distributed Errors When using Ordinary Least Squares (OLS) Regression
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Multicollinearity, heteroskedasticity, outlying and influential cases, and non-normally distributed errors all present problems for ordinary least squares (OLS) regression. This 8 pager paper explains why each is a problem for OLS, how it can be detected and looks at steps can be taken to deal with each of them. The bibliography cites 5 sources.
Filename: TEOSLerror.rtf

The Science of Escher / Symmetry and Metaphor
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A 10 page paper that provides an overview of the elements of science in the works of Escher, with a focus on symmetry and metaphor based in his mathematical approach. Bibliography lists 8 sources.
Filename: Escher.doc

The Subjectivity of Probability Distributions and Tools for Collecting Qualitative Data
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A three page address of two specific questions. The first questions regards the usefulness of probability distributions in terms of statistical analysis. The second question asks for the delineation of three specific tools that are useful in the collection of qualitative data. Bibliography lists 2 sources.
Filename: PPresrc2.rtf

The Turing Test of Intelligence: What Does it Suggest about the Nature of Human Reasoning
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This 5 page paper provides an overivew of the Turing Test and the views of Alan Turing in regards to the nature of human reasoning. Bibliography lists 2 sources.
Filename: MHTuring.rtf

The Use and Misuse of Figures and Statistical Analysis
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This 20 page paper is written in four parts. Part one looks at a business proposal carries pout forecasts for the proposal of a new restaurant, showing how weekly, monthly and yearly forecasts can be made using excel. This section also shows the formula tables used for the projections. This section also considers the aspects which may not be including in financial proposals, such as stakeholder analysis and also the different between the flat rate and the annual percentage rate also known as the APR. The second part of the paper looks at time series data, what it is, how it can be used and presented using excel, and also the problems when using monetary time series data, explaining the difference between current and constant prices. Examples are given on this section. The third part of the paper looks at cross sectional data, what it is an how it can be used, an example is given. The example given is then analysed and the potential problems with this analysis are discussed. The last part of the paper explores correlation coefficients. Looking at what they are and how they may be used, as well as the way in which they maybe misused or misinterpreted. Examples are given to illustrate points raised. The bibliography cites 7 sources.
Filename: TEfigstat.rtf

The Use of Anova for Statistical Analysis
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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.
Filename: MHAnova.rtf

The Use of Prime Numbers in Cryptography
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This 6 page paper examines the role and importance of prime numbers, or prime factors, in cryptology. The paper looks at public key cryptography (PKC) and the RSA algorithm demonstrating the way in which public and private keys are calculated with the use of prime numbers. The bibliography cites 5 sources.
Filename: TEprimecyp.rtf

The Use of Zero in Teaching Children's Mathematics
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This 4 page paper examines the use of zero historically and how it presents problems when teaching arithmetic and algebra. Examples of why zero is problematic is presented as well as how it is viewed by experts in the field. Bibliography lists 6 sources.
Filename: SA6030.rtf

TITANIC AND STATISTICS
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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).
Filename: MTtitsta.rtf

Transportation Problem In Linear Programming;
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This 10 page paper (plus 2 page appendix) considers the transportation problem in linear programming. The problem is explain in general terms, and then examine more closely by working though a practical example. This include the definition of the problem and the parameters verbally and mathematically and then the minimisation of the problem in terms of an equation. The appendices is an example of coding the problem and also give the solution. The paper also includes an graphical network presentation of the same problem to enhance the students understanding. The bibliography cite 3 sources.
Filename: TElptran.wps


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