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The publications archived in this Georgia Southern Commons collection are produced by the faculty of the Department of Mathematical Sciences.
Faculty Research in Georgia Southern Commons
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Submissions from 2006
Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices – Application of Perturbation Theory for Simple Invariant Subspaces, Yimin Wei, Xiezhang Li, Fanbin Bu, and Fuzhen Zhang
Linear Subband Predictive Filters for Wideband Signals, Yan Wu
On the Design of an Array of Subband Predictive Filters for Bandlimited Signals, Yan Wu
Fundamental Theory of Control of General First-order Matrix Difference Systems, Yan Wu, Laurene V. Fausett, and Kanuri N. Murty
Littlewood-Paley Theorem for Schrödinger Operators, Shijun Zheng
System Generated by Strip-Based Projections in Discrete Tomography, Jiehua Zhu, Xiezhang Li, Yangbo Ye, and Ge Wang
Submissions from 2005
A Host-Microparasite Model with a Resistant Host, Martha L. Abell, James P. Braselton, and Lorraine Braselton
Selective Mating in a Continuous Model of Epistasis, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Properties of the T2 Control Chart When Parameters Are Estimated, Charles W. Champ, Allison L. Jones-Farmer, and Steven E. Rigdon
Spectral Properties of a Near-Periodic Row-Stochastic Leslie Matrix, Mei-Qin Chen and Xiezhang Li
The Superiority of a New Type of (2,2)-Step Iterative Methods Over the Related Chebyshev Method, Mei-Qin Chen and Xiezhang Li
Vertices of Self-Similar Tiles, Da-Wen Deng and Sze-Man Ngai
Reptiles with Holes, Francis Jordan and Sze-Man Ngai
Sufficient Conditions for Smooth Non-Uniform Variational Refinement Curves, Scott N. Kersey
A Condition for the Superiority of the (2,2)-Step Iterative Methods Over the Related Chebyshev Method, Xiezhang Li and Edward Arroyo
Topology of Connected Self-Similar Tiles in the Plane With Disconnected Interiors, Sze-Man Ngai and Tai-Man Tang
Self-Similar Measures Associated to {IFS} with Non-Uniform Contraction Ratios, Sze-Man Ngai and Yang Wang
Two Stage Design for Estimation of Mean Difference in the Exponential Family, Broderick O. Oluyede and Mekki Terbeche
A Comparison of Mixed-Enhanced Finite Elements, Reinhard E. Piltner and Lixin Li
Image Based Modeling of Abdominal Aortic Aneurysms, Reinhard E. Piltner and Lixin Li
On Sequential and Fixed Designs for Estimation with Comparisons and Applications, Mekki Terbeche, Broderick O. Oluyede, and Ahmed Barbour
A Study of Smart Growth Initiatives Using GIS: The Case of Austin, Texas, Wei Tu, Lixin Li, and Reinhard E. Piltner
A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces, Yimin Wei, Xiezhang Li, and Fanbin Bu
A Universal Interpolative Filter for Low-Pass And Bandpass Signals-CSINC Interpolator, Yan Wu
Stability Analysis of the Bandlimited and Bandpassed Linear Prediction Models, Yan Wu
Computed Tomography Simulation With Superquadrics, Jiehua Zhu, Shiying Zhao, Yangbo Ye, and Ge Wang
Submissions from 2004
A Performance Analysis of Hotelling’s T2 Chi Square Control Chart with Supplementary Runs Rules, Francisco Aparisi, Charles W. Champ, and J. Carlos Garcia-Diaz
A Model of Harmful Algal Blooms, James P. Braselton and Lorraine Braselton
Incorporating Mating Preferences into a Host-Parasite Model, James P. Braselton, Jacalyn Huband, and Lorraine Braselton
Designing Phase I X Charts with Small Sample Sizes, Charles W. Champ and L. Allison Jones
An Estimation of the Spectral Radius of a Product of Block Matrices, Mei-Qin Chen and Xiezhang Li
The Number of Linearly Independent Binary Vectors with Applications to the Construction of Hypercubes and Orthogonal Arrays, Pseudo (t,m,s)-nets and Linear Codes, S. B. Damelin, Grzegorz J. Michalski, G. L. Mullen, and D. Stone
Graph-Directed Iterated Function Systems with Overlaps, Manav Das and Sze-Man Ngai
Visualization of the energy flow for guided forward and backward waves in and around a fluid-loaded elastic cylindrical shell via the Poynting vector field, Cleon Dean and James P. Braselton
The Run Length Distribution of the CUSUM Chart with Estimated Parameters, Allison L. Jones-Farmer, Charles W. Champ, and Steven E. Rigdon
An Abstract Formulation of Variational Refinement, Scott N. Kersey
Smoothing and Near-Interpolatory Subdivision Surfaces, Scott N. Kersey
The Effect of Parametrization on Subdivided Curves, Scott N. Kersey
A New Shape Function Based Spatiotemporal Interpolation Method, Lixin Li, Youming Li, and Reinhard E. Piltner
Voronoi Region-Based Spatiotemporal GIS Databases, Lixin Li and Reinhard E. Piltner
An Expression of the Drazin Inverse of a Perturbed Matrix, Xiezhang Li and Yimin Wei
Iterative Methods for the Drazin Inverse of a Matrix With a Complex Spectrum, Xiezhang Li and Yimin Wei
A Technique in the Topology of Connected Self-Similar Tiles, Sze-Man Ngai and Tai-Man Tang
Inequalities and Comparisons of the Cauchy, Gauss, and Logistic Distributions, Broderick O. Oluyede
On Local Dependence and Stochastic Inequalities with Applications to Contingency Tables, Broderick O. Oluyede
Attribute Charts For Monitoring A Markov Process, Deborah K. Shepherd, Charles W. Champ, Steven E. Rigdon, and H. T. Fuller
On the Positiveness of A Functional Symmetric Matrix Used in Digital Filter Design, Yan Wu
A Robust DSP Integrator for Accelerometer Signals, Yan Wu and Dale H. Mugler
Submissions from 2003
A Rational Root Theorem For Complex Roots, Sharon Barrs, James P. Braselton, and Lorraine Braselton
Fractal Laplacians on the Unit Interval, Erik J. Bird, Sze-Man Ngai, and Alexander Teplyaev
Why Trucks Don’t Hit Power Lines and the Utility of Catenaries to Electric Utilities, James P. Braselton, Sharon Barrs, and Lorraine Braselton
Visualization of the Energy Flow for Guided Surface and Fluid Waves: Comparison and Contrast of Conventional Vector Field Vs. Color Coded Representation of the Poynting Vector, James P. Braselton and Cleon Dean
Comparison of Standard and Individual Limits Phase I Shewhart X, R, and S Charts, Charles W. Champ and Shou-Peng Chou
Near-Interpolation, Scott N. Kersey
Near-Interpolation to Arbitrary Constraints, Scott N. Kersey
On the Problems of Smoothing and Near-Interpolation, Scott N. Kersey
Let’s Play Plinko: A Lesson in Simulations and Experimental Probabilities, Susie M. Lanier and Sharon Barrs
Paths to the Big Money: Plinko and Pascal, Susie M. Lanier and Sharon Barrs
Plinko: A Calculator and Web Demonstration for a Mathematics Classroom, Susie M. Lanier and Sharon Barrs
Dimensions of the Boundaries of Self-Similar Sets, Ka-Sing Lau and Sze-Man Ngai
A Note on the Perturbation Bound of the Drazin Inverse, Xiezhang Li and Yimin Wei
The Heighway Dragon Revisited, Sze-Man Ngai and Nhu Nguyen
Inequalities and Bounds for Kernel Length-Biased Density Estimation, Broderick O. Oluyede
On Stochastic Inequalities and Dependence Orderings, Broderick O. Oluyede
Fixed and Sequential Designs for Estimation in the Exponential Family With Comparisons and Applications to Binomial Proportions Using Beta Priors, Broderick O. Oluyede and Mekki Terbeche
An Improvement of Perturbation Bounds for the Drazin Inverse, Yimin Wei and Xiezhang Li
Subproper and Regular Splitting for Restricted Rectangular Linear System, Yimin Wei, Xiezhang Li, and Hebing Wu
A Fractal Analysis of Human Cranial Sutures, Jack C. Yu, Ronald L. Wright, Matthew A. Williamson, James P. Braselton, and Martha L. Abell
Submissions from 2002
When Is a Surface Not Orientable?, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Multiple Comparison Methods for Means, James P. Braselton, John A. Rafter, and Martha L. Abell
A Mathematical Model of a Biological Arms Race, James P. Braselton, Paul Waltman, and Lorraine Braselton
Visualization of the energy flow for a guided forward wave in and around a fluid loaded elastic cylindrical shell: Color coding of the Poynting vector field, Cleon Dean and James P. Braselton
Phase I Control Charts for Times Between Events, L. Allison Jones and Charles W. Champ
Long-Step Homogeneous Interior-Point Method for P*-Nonlinear Complementarity Problem, Goran Lesaja
The Convergence Rate of the Chebyshev SIM under a Perturbation of Foci of an Elliptic Domain, Xiezhang Li and Fangjun Arroyo
A Note on Computing the Generalized Inverse A^(2)_{T,S} of a Matrix A, Xiezhang Li and Yimin Wei
Discrete Hermite Expansion of Digital Signals: Applications to ECG Signals, D. H. Mugler, S. Clary, and Yan Wu
On Inequalities and Partial Orderings for Weighted Reliability Measures, Broderick O. Oluyede
Some Inequalities and Bounds for Weighted Reliability Measures, Broderick O. Oluyede
On Stochastic Inequalities and Comparisons of Reliability Measures for Weighted Distributions, Broderick O. Oluyede and E. Olusegun George
Mathematics of Monopoly, Gale Watson and Sharon Barrs
Submissions from 2001
Phase I Control Charts for Independent Bernoulli Data, Connie M. Borror and Charles W. Champ
Generalized Walker Solutions to the Landau-Lifshitz-Gilbert Equations, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Schryer-Walker Quasi-Exact Solutions to the Landau-Lifshitz-Gilbert Equations, James P. Braselton, Martha L. Abell, and Lorraine Braselton
A Competition Model with Dynamically Allocated Inhibitor Production, James P. Braselton and Paul Waltman
The Identification of Calcium Oscillators in Immature Rat Cranial Sutures, James P. Braselton, Jack C. Yu, Martha L. Abell, and James Borke
Designing an ARL Unbiased R Chart, Charles W. Champ
Method for Deriving Integral Equations Useful in Control Chart Performance Analysis, Charles W. Champ, Steven E. Rigdon, and Kenneth Adam Scharnagl
Visualization of the Energy Flow for a Guided Forward Wave in and Around a Fluid Loaded Elastic Cylindrical Shell, Cleon Dean and James P. Braselton
Performance Analysis of Exponentially Weighted Moving Average Charts When Parameters Are Estimated, L. Allison Jones, Charles W. Champ, and Steven E. Rigdon
Plinko: Probability from a TV Show, Susie M. Lanier and Sharon Barrs
Iterated Function Systems with Overlaps and Self-Similar Measures, Ka-Sing Lau, Sze-Man Ngai, and Hui Rao
Is a Chebyshev Method Optimal for an Elliptic Region also Optimal for a Nearly Elliptic Region?, Xiezhang Li
An Improvement on the Perturbation of the Group Inverse and Oblique Projection, Xiezhang Li and Yimin Wei
Prediction of Bandlimited Signals from Past Samples and Applications to Speech Coding, Dale H. Mugler and Yan Wu
Hausdorff Dimension of Self-Similar Sets with Overlaps, Sze-Man Ngai and Yang Wang
On Stochastic Comparisons of Energy Functions with Applications, Broderick O. Oluyede
Some General Notions of Variability Ordering with Applications, Broderick O. Oluyede
On Moment Inequalities and Stochastic Ordering for Weighted Reliability Measures, Broderick O. Oluyede and Mekki Terbeche
Stability Analysis of Wavelet-Based Controller Design, Yan Wu, Robert J. Veillette, Dale H. Mugler, and Tom T. Hartley
