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The publications archived in this Digital Commons@Georgia Southern collection are produced by the faculty of the Department of Mathematical Sciences.

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Submissions from 2008

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A New Class of Polynomial Interior-Point Algorithms for P*(κ)-Linear Complementarity Problems, Y. Q. Bai, Goran Lesaja, and C. Roos

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A Class of Large-Update and Small-Update Primal-Dual Interior-Point Algorithms for Linear Optimization, Y. Q. Bai, Goran Lesaja, C. Roos, G. Q. Wang, and M. El Ghami

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Effects of Genetic Immunity and Resistance on Endemics, James P. Braselton, Martha L. Abell, and Lorraine Braselton

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Doubling Sampling T2 Control Charts with Estimated Parameters, Charles W. Champ and Francisco Aparisi

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An Improved Method Of Visualizing The Energy Flow: The Rayleigh Wave, Cleon Dean and James P. Braselton

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The Energy Flow For A Spherical Acoustic Lens: Ray vs. Wave Methods, Cleon Dean and James P. Braselton

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Rings with Finite Gorenstein Global Dimension, Edgar E. Enochs, Sergio Estrada, and Alina Iacob

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Common-Wavelengths Design Scheme for Efficient Utilization of Wavelength Resources in WDM Networks, Ardian Greca and Goran Lesaja

Graphing Calculator Manual (11th Edition), Patricia B. Humphrey

SPSS Manual with Solutions to Selected Problems (2nd Edition), Patricia B. Humphrey

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SPSS Manual with Solutions to Selected Problems (6th Edition), Patricia B. Humphrey

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TI-83/84 Plus and TI-89 Manual, Patricia B. Humphrey

TI Graphing Calculator Manual with Solutions to Selected Problems (2008), Patricia B. Humphrey

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TI Graphing Calculator Manual with Solutions to Selected Problems (2nd Edition), Patricia B. Humphrey

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TI Graphing Calculator Manual with Solutions to Selected Problems (6th Edition), Patricia B. Humphrey

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An Algorithm for Clustering Tendency Assessment, Yingkang Hu and Richard J. Hathaway

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Tendency Curves for Visual Clustering Assessment, Yingkang Hu and Richard J. Hathaway

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Convergence of Local Variational Spline Interpolation, Scott N. Kersey and Ming-Jun Lai

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Largest Number of Subtrees of Trees with a Given Maximum Degree, Russell Kirk and Hua Wang

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An Application of a Shape Function Based Spatiotemporal Interpolation Method to Ozone and Population-Based Environmental Expsoure in the Contiguous U.S., Lixin Li, Xingyou Zhang, and Reinhard Piltner

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The Optimal Parameters of SOR-k Methods for P-Cyclic Matrices, Xiezhang Li

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A Note of Reconstruction Algorithm of the Strip-Based Projection Model for Discrete Tomography, Xiezhang Li and Jiehua Zhu

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Nodal Solutions of a Perturbed Elliptic Problem, Yi Li, Zhaoli Liu, and Chunshan Zhao

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Ramanujan–Slater Type Identities Related to the Moduli 18 and 24, James McLaughlin and Andrew Sills

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Rogers-Ramanujan-Slater Type Identities, James McLaughlin, Andrew Sills, and Peter Zimmer

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Measure of Compactness for Filters in the Approach Setting, Frédéric D. Mynard

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Multifractal Structure of Noncompactly Supported Measures, Sze-Man Ngai

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Harmonic Analysis Related to Schrödinger Operators, Gestur Olafsson and Shijun Zheng

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A Note on Extreme Bernoulli and Dependent Families of Bivariate Distributions, Broderick O. Oluyede and Marvis Pararai

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Inequalities and Exponential Approximations for Residual Life Reliability Functions, Broderick O. Oluyede and Marvis Pararai

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Order Restricted Inference for Risk Difference and Discordant Probability, Broderick O. Oluyede and Marvis Pararai

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Some Remarks on Finite Elements with an Elliptic Hole, Reinhard Piltner

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Utilizing Discretized Cauchy Integrals for the Trefftz Method, Reinhard E. Piltner and Lixin Li

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A Partition Bijection Related to the Rogers-Selberg Identities and Gordon's Theorem, Andrew Sills

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Disturbing the q-Dyson Conjecture, Andrew Sills

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On the Ordinary and Signed Göllnitz-Gordon Partitions, Andrew Sills

The Sum of the Parts: A Hands-On Activity for Sequences, Sharon Taylor and Kathleen Cage Mittag

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Extremal Trees with Given Degree Sequence for the Randić Index, Hua Wang

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The Extremal Values of the Wiener Index of a Tree with Given Degree Sequence, Hua Wang

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Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion, Chunshan Zhao

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Analysis on the Strip-Based Projection Model for Discrete Tomography, Jiehua Zhu, Xiezhang Li, Yangbo Ye, and Ge Wang

Submissions from 2007

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The Effects of Immunity and Resistance on the Development of AIDS, Martha L. Abell, James P. Braselton, and Lorraine Braselton

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Properties of Multivariate Control Chart with Estimated Parameters, Charles W. Champ and Allison L. Jones-Farmer

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Moving Range and R Charts, Charles W. Champ and Deborah K. Shepherd

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The Cardinality of Sets of k-Independent Vectors over Finite Fields, S. B. Damelin, Grzegorz J. Michalski, and Gary L. Mullen

The energy flow for guided waves at and inside the surface of an ensonified fluid loaded elastic cylindrical shell via the Poynting vector field, Cleon Dean and James P. Braselton

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The energy flow for guided waves at and inside the surface of an ensonified fluid loaded elastic cylindrical shell via the Poynting vector field: Preliminary results, Cleon Dean and James P. Braselton

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Closure Under Transfinite Extensions, Edgar Enochs, Alina Iacob, and Overtoun Jenda

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A Generalized Finite Type Condition for Iterated Function Systems, Ka-Sing Lau and Sze-Man Ngai

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Educational Optical Network Simulation Tool for Broadband Networks Course, Goran Lesaja and Ardian Greca

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Spatiotemporal Interpolation and Constraint Databases for a GIS Application: Ozone in the Contiguous U.S., Lixin Li, Xingyou Zhang, and Reinhard E. Piltner

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A Note on the Representations for the Drazin Inverse of 2x2 Block Matrices, Xiezhang Li and Yimin Wei

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Locating the Peaks of Least Energy Solutions to a Quasilinear Ellitpic Neumann Problem, Yi Li and Chunshan Zhao

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On the Shape of Least-Energy Solutions for a Class of Quasilinear Elliptic Neumann Problems, Yi Li and Chunshan Zhao

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Bounds and Comparisons for Weighted Renewal-Type Integral Equations, Broderick O. Oluyede

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A Note on Relations for Reliability Measures in Zero-Adjusted Models, Broderick O. Oluyede and Mavis Pararai

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On Energy and Expected Uncertainty Measures in Weighted Distributions, Broderick O. Oluyede and Mekki Terbeche

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On Weighted Covariance and Vitality Orderings with Applications to the Exponential Family, Broderick O. Oluyede and Mekki Terbeche

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The Use of Discretized Cauchy Integrals for Finite Elements, Reinhard E. Piltner and Lixin Li

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Attribute Charts for Monitoring a Dependent Process, Deborah K. Shepherd, Charles W. Champ, and Steven E. Rigdon

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On the Simplification of Certain q-Multisums, Andrew Sills

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Identities of the Rogers-Ramanujan-Slater Type, Andrew V. Sills

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A Proof on the Minimum and Permissible Sampling Rates for the First-Order Sampling of Bandpass Signals, Yan Wu

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Improved Second Derivative Test for Relative Extrema, Yan Wu

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An Anti-Symmetric Key Algorithm for Signal Encryption, Yan Wu and A. C. Vosler

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Global LN Strong Solutions to the Magneto-Hydro-Dynamics Equations in the RN Space, Chunshan Zhao and Yinnian He

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Time Decay for Schrödinger Equation with Rough Potentials, Shijun Zheng

Submissions from 2006

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A Model of Allelopathy in the Context of Bacteriocin Production, Martha L. Abell, James P. Braselton, and Lorraine Braselton

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Competition in the Chemostat: A Comparison of Inhibitory and Lethal Offensive Strategies, Martha L. Abell, James P. Braselton, and Lorraine Braselton

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Which Planet is Largest?, Phillip Brown and James P. Braselton

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Visualization of the energy flow for guided waves near the surface of an ensonified fluid loaded elastic cylindrical shell via the Poynting vector field, Cleon Dean and James P. Braselton

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Representations for the Drazin Inverse of a 2 X 2 Block Matrix, Robert Hartwig, Xiezhang Li, and Yimin Wei

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Laplace Operators Related to Self-Similar Measures on Rd, Jiaxin Hu, Ka-Sing Lau, and Sze-Man Ngai

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Effects of Parameter Estimation on Control Chart Properties: A Review, Willis A. Jensen, Allison L. Jones-Farmer, Charles W. Champ, and William H. Woodall

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Mixed Interpolating-Smoothing Splines and the V-Spline, Scott N. Kersey

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Nonuniform, Local Variational Subdivision, Scott N. Kersey

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A Spatiotemporal Database for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, and Reinhard E. Piltner

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Existence, Uniqueness and Decay Properties of Strong Solutions to an Evolutionary System of MHD Type in R3, Yi Li and Chunshan Zhao

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Hitting the Bull's Eye: A Dart Game Simulation Using Graphing Calculator Technology, Kathleen Cage Mittag and Sharon Taylor

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Function Spaces Associated with Schrödinger Operators: The Pöschl-Teller Potential, Gestur Olafsson and Shijun Zheng

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A Note on Probability Weighted Moment Inequalities for Reliability Measures, Broderick O. Oluyede

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On Bounds and Approximating Weighted Distributions by Exponential Distributions, Broderick O. Oluyede

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Some General Notions of Stochastic Orderings for Weighted Reliability and Uncertainty Measures with Applications, Broderick O. Oluyede

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Visualizing the Method of Finding Volumes by Cross Sections: An Eggs Periment, Jean Uhl, Patricia B. Humphrey, and James P. Braselton

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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