Master's Theses (1922-2009) Access restricted to Marquette CampusCopyright (c) 2015 Marquette University All rights reserved.
http://epublications.marquette.edu/theses
Recent documents in Master's Theses (1922-2009) Access restricted to Marquette Campusen-usSun, 15 Nov 2015 01:39:12 PST3600A Study of the Direct Product of Matrices
http://epublications.marquette.edu/theses/2116
http://epublications.marquette.edu/theses/2116Fri, 13 Nov 2015 13:28:27 PST
If A is a matrix of order & B is a matrix of order B, the direct product, A X B, is a matrix of order & B as defined by C. C. MacDuffee in An Introduction to Abstract Algebra. The question arises as to whether there are any relationships between A X B and A and B, as, for instance, between the characteristic polynomials or between the minimum polynomials of these matrices. The purpose of this thesis is to present some of these relationships with the proof of their existence.
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Joseph Marie KlingenbergColor-Groups
http://epublications.marquette.edu/theses/2115
http://epublications.marquette.edu/theses/2115Fri, 13 Nov 2015 13:14:48 PSTMarion KentThe Projective Description of Some Higher Plane Curves from the Standpoint of Line Geometry
http://epublications.marquette.edu/theses/2114
http://epublications.marquette.edu/theses/2114Fri, 13 Nov 2015 13:03:29 PSTMary DePazzi DelaneyBrocardian Geometry
http://epublications.marquette.edu/theses/2113
http://epublications.marquette.edu/theses/2113Thu, 12 Nov 2015 12:52:20 PST
The triangle possesses properties about which rather limited material is available. Some of these properties were discovered by Brocard about the year 1875. In this thesis the writer has endeavored to gather from various sources the information about the work Brocard did and to prove resulting facts related to it. Every triangle has a definite Brocard angle. When isosceles triangles with base angles equal to it are constructed on the sides of the original triangle, the vertices of these triangles form a triangle which is triply in perspective with the original. By making use of this construction, but changing the size of the base angle, and by applying the principles of perspectivity and loci, a curve known as Kiepert's Hyperbola is obtained.
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M. Sylvester HeilmanApplications of Vector Analysis in Plane Geometry
http://epublications.marquette.edu/theses/2112
http://epublications.marquette.edu/theses/2112Thu, 12 Nov 2015 12:26:28 PST
It is the purpose of this thesis to show various applications of vector analysis in plane geometry. Possibilities of such applications have been indicated and some examples worked out by Gibbs-Wilson and others, chiefly as illustrations of vector methods. These illustrations are varied and show the beauty and simplicity of vector proofs. The main object has been the proofs of the classical propositions of elementary plane geometry. The proofs of all the propositions have not been given. Those propositions which did not seem to lend themselves to vectorial proof and those whose proofs follow too closely the method of ordinary plane geometry have been omitted. The intention has been to includes sufficient illustrations to show how vector analysis may be applied and to include those proofs which show the advantage of vector methods.
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Emanuere HasegawaFunctions of Real Variables by E. J. Townsend. A Key to the Solutions of Problems
http://epublications.marquette.edu/theses/2111
http://epublications.marquette.edu/theses/2111Thu, 12 Nov 2015 12:09:39 PSTGeorge M. HarnerFour-Dimensional Representation of Complex Functions
http://epublications.marquette.edu/theses/2110
http://epublications.marquette.edu/theses/2110Wed, 11 Nov 2015 13:13:59 PST
Geometrical representation of real functions of real variables is not merely a helpful means in the elementary interpretation of certain properties of these functions, but historically it gave birth to such important ideas a the definite integral of functions. On the contrary, the geometrical representation of functional analysis is the field of complex variables offers some real difficulties. Although there are geometrical representations of complex numbers (as the Argand diagram and the Riemann sphere), yet they are not extended to the representation of complex functions of complex variables. A geometrical representation of complex functions and a geometrical interpretation of such properties of complex functions as differential, integral and mapping will be attempted on the following pages.
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T. L. DemenHyperbolic Functions and Their Applications
http://epublications.marquette.edu/theses/2109
http://epublications.marquette.edu/theses/2109Wed, 11 Nov 2015 13:13:58 PSTAda Marie HarnerMeSH-Based Clustering of Biomedical Literature
http://epublications.marquette.edu/theses/2108
http://epublications.marquette.edu/theses/2108Wed, 11 Nov 2015 12:27:57 PST
The amount of online documents has grown tremendously in recent years that poses challenges for information retrieval from this vast collection. Text Mining, an application of machine learning addresses these challenges by providing techniques for information extraction from large text collections. One of the major areas of applications of text mining is biomedicine. The rapid growth of research in biomedical area is giving rise to a large number of literature published every year. It is difficult to keep pace with the current and related research in an area of interest. It is also difficult and time-consuming to read all the literature retrieved by a keyword search on a topic of interest. An efficient approach to address this problem is document clustering that generates meaningful groups of concepts which provide a better description of the data in a document collection. This study investigated document clustering of biomedical literature to identify concepts represented in large document collections. Biomedical literature is indexed by a controlled vocabulary, MeSH (Medical Subject Headings) which represent the major concepts discussed in a document. We compared the use of MeSH in representing the documents with that of full-text representation for document clustering.
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Chitti DharmanollaRiding Characteristics of Rail Vehicles
http://epublications.marquette.edu/theses/2107
http://epublications.marquette.edu/theses/2107Wed, 11 Nov 2015 12:03:42 PST
The recent increases in passenger train operating speeds have necessitated the development of passenger car spring suspension systems which provide riding comfort at high speed. Much of the development of these high speed passenger car trucks was based on test results and the interpretation of test data. However simplified mechanical system of a passenger car were considered and analysis by the mathematical theory of mechanical vibrations provided the only means whereby results could be predicted. The principles governing the vibration of masses supported by simple spring suspension systems are given in texts on vibration listed in the bibliography of this thesis. This thesis has been written to present the mathematical development of the principles of vibration of spring suspended masses in a manner which facilitates analysis of rail vehicle suspension problems. The application of mathematical analysis to study the characteristics of a widely used ride recording instrument is included and a chapter correlating the theoretical analysis with actual test observations and data is also given.
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Joseph J. DrinkaMetabelian Groups Formed by Joining Five Automorphisms to an Abelian Group Type (1,1...1)
http://epublications.marquette.edu/theses/2106
http://epublications.marquette.edu/theses/2106Wed, 11 Nov 2015 11:28:58 PSTMadeleine Sophie DrufenbrockStatistical Inference of Change Point Problems
http://epublications.marquette.edu/theses/2105
http://epublications.marquette.edu/theses/2105Tue, 10 Nov 2015 13:31:05 PST
Recently there has been a keen interest in the statistical analysis of change point detection and estimation. Mainly, it is because change point problems arise in many disciplines such as economics, finance, medicine, psychology, geology, literature, etc .. The awareness ofthese changes can help people to avoid unnecessary losses and to harness beneficial transitions. From the statistical point of view, a change point is a place or time point such that the observations follow one distribution up to that point and follow another distribution after that point. Usually, the statistical inference about change points has two aspects. The first is to detect if there is any change in the sequence of random variables observed. The second is to estimate corresponding location of the change point. The earliest change point study can be traced back to the 1950s. After that a good amount of articles have been published. Many of them cover the topic of single change point in the means of a sequence of independently normally distributed random variables. The frequently used methods for change point inference in the literature are the maximum likelihood ratio test, Bayesian analysis and informational approach. In my thesis, general methodologies are proposed for a single change point in a sequence of random variables from the exponential family of distributions. Special cases are also examined. The methodologies involved are mainly maximum likelihood method when the change point is a random variable and Bayesian analysis using Gibbs Sampler.
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Hong DuA Study of the General Cubic Equation, y2= (x-a) (x-b) (x-c)
http://epublications.marquette.edu/theses/2104
http://epublications.marquette.edu/theses/2104Tue, 10 Nov 2015 13:14:32 PSTMarie J. EldridgeModular Plotting of Complex Functions
http://epublications.marquette.edu/theses/2103
http://epublications.marquette.edu/theses/2103Tue, 10 Nov 2015 13:10:06 PSTNorbert L. EllmannUniversal Service Access for Ubiquitous Computing Applications
http://epublications.marquette.edu/theses/2102
http://epublications.marquette.edu/theses/2102Tue, 10 Nov 2015 12:59:49 PST
Technology is matured enough to make ubiquitous computing possible. Ubiquitous computing is "the technology that enhances computer use by making the world a physically computational environment and also by making computers effectively invisible to users [1]." Invisibility means that computers are hidden in the physical environment [26] . When computers are hidden, interaction between people and computers becomes different from the user interaction of current computing. Not only are the computers not to be seen, but user attention becomes a valuable and limited resource, because multiple computing devices might race for user attention. Thus invisibility raises the problem of minimizing user attention. This paper explores the invisibility feature of ubiquitous computing and tries to answer some questions such as what is ubiquitous computing, what is the invisibility feature of ubiquitous computing, and how can the invisibility feature of ubiquitous computing be implemented.
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Sang Wook KimEminent Women Mathematicians
http://epublications.marquette.edu/theses/2101
http://epublications.marquette.edu/theses/2101Tue, 10 Nov 2015 12:49:05 PSTMary Gabriel Haefner