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Mathematics

Theses/Dissertations

2009

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Articles 151 - 158 of 158

Full-Text Articles in Physical Sciences and Mathematics

The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas Jan 2009

The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas

Theses Digitization Project

This project is an expository survey of the Universal Coefficient Theorem for Cohomology. Algebraic preliminaries, homology, and cohomology are discussed prior to the proof of the theorem.


Geometric Theorem Proving Using The Groebner Basis Algorithm, Karla Friné Rivas Jan 2009

Geometric Theorem Proving Using The Groebner Basis Algorithm, Karla Friné Rivas

Theses Digitization Project

The purpose fo this project is to study ideals in polynomial rings and affine varieties in order to establish a connection between these two different concepts. Doing so will lead to an in depth examination of Groebner bases. Once this has been defined, step will be outlined that will enable the application of the Groebner Basis Algorithm to geometric problems.


The Composition Of Split Inversions On The Hyperbolic Plane, Robert James Amundson Jan 2009

The Composition Of Split Inversions On The Hyperbolic Plane, Robert James Amundson

Theses Digitization Project

The purpose of the project is to examine the action of the composition of split inversions on the hyperbolic plane, H². The model that is used is the poincoŕe disk.


Construction Of Homomorphic Images, Stephanie Ann Hilber Jan 2009

Construction Of Homomorphic Images, Stephanie Ann Hilber

Theses Digitization Project

This thesis constructs several finite homomorphic images of infinite semi-direct products of the form 2*n:N.


A Bayesian Network Approach To Feature Selection In Mass Spectrometry Data, Karl W. Kuschner Jan 2009

A Bayesian Network Approach To Feature Selection In Mass Spectrometry Data, Karl W. Kuschner

Dissertations, Theses, and Masters Projects

One of the key goals of current cancer research is the identification of biologic molecules that allow non-invasive detection of existing cancers or cancer precursors. One way to begin this process of biomarker discovery is by using time-of-flight mass spectroscopy to identify proteins or other molecules in tissue or serum that correlate to certain cancers. However, there are many difficulties associated with the output of such experiments. The distribution of protein abundances in a population is unknown, the mass spectroscopy measurements have high variability, and high correlations between variables cause problems with popular methods of data mining. to mitigate these …


Calculation Of Equilibrants For Semipositive Matrices, Zheng Tong Jan 2009

Calculation Of Equilibrants For Semipositive Matrices, Zheng Tong

Dissertations, Theses, and Masters Projects

No abstract provided.


On The Dynamics Of Quasi-Self-Matings Of Generalized Starlike Complex Quadratics And The Structure Of The Mated Julia Sets, Ross Flek Jan 2009

On The Dynamics Of Quasi-Self-Matings Of Generalized Starlike Complex Quadratics And The Structure Of The Mated Julia Sets, Ross Flek

Dissertations, Theses, and Capstone Projects

It has been shown that, in many cases, Julia sets of complex polynomials can be "glued" together to obtain a new Julia set homeomorphic to a Julia set of a rational map; the dynamics of the two polynomials are reflected in the dynamics of the mated rational map. Here, I investigate the Julia sets of self-matings of generalized starlike quadratic polynomials, which enjoy relatively simple combinatorics. The points in the Julia sets of the mated rational maps are completely classified according to their topology. The presence and location of buried points in these Julia sets are addressed. The interconnections between …


On The Dynamics Of Quasi-Self-Matings Of Generalized Starlike Complex Quadratics And The Structure Of The Mated Julia Sets, Ross Flek Jan 2009

On The Dynamics Of Quasi-Self-Matings Of Generalized Starlike Complex Quadratics And The Structure Of The Mated Julia Sets, Ross Flek

Dissertations, Theses, and Capstone Projects

It has been shown that, in many cases, Julia sets of complex polynomials can be "glued" together to obtain a new Julia set homeomorphic to a Julia set of a rational map; the dynamics of the two polynomials are reflected in the dynamics of the mated rational map. Here, I investigate the Julia sets of self-matings of generalized starlike quadratic polynomials, which enjoy relatively simple combinatorics. The points in the Julia sets of the mated rational maps are completely classified according to their topology. The presence and location of buried points in these Julia sets are addressed. The interconnections between …