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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 2009
As the Ball Rolls: A Quadratic Investigation Using Multiple Representations, Kathleen Cage Mittag and Sharon Taylor
Solving Plate Bending Problems With Discretized Cauchy Integrals, Reinhard E. Piltner and Lixin Li
Establishment of Weak Conditions for Darboux-Goursat-Beudon Theorem, Mekki Terbeche and Broderick O. Oluyede
On Fourier Parabolic and Wave Equation, Mekki Terbeche and Broderick O. Oluyede
On Some Differential Equations, Mekki Terbeche and Broderick O. Oluyede
On a Problem of Ahlswede and Katona, Stephan G. Wagner and Hua Wang
On the Parity of the Wiener Index of Trees, Stephan G. Wagner and Hua Wang
Molecular Graphs and the Inverse Wiener Problem, Stephan Wagner, Hua Wang, and Gang Yu
On the Randić Index and Extremal Cacti, Hua Wang and Daniel Gray
A Closed Form Solution for An Unorthodox Trigonometric Integral, Yan Wu
Complete Identification of Permissible Sampling Rates for First-Order Sampling of Multi-Band Bandpass Signals, Yan Wu and Daniel F. Linder
Sampling Rates for the First-Order Sampling of Two-Band Signals, Yan Wu and Daniel F. Linder
Remark on Asymptotic Behaviors of Solutions to Quasi-Linear Elliptic Dirichlet Problem with Large Diffusion, Chunshan Zhao
Remark on Exponential Decay of Ground States for N-Laplacian Equations, Chunshan Zhao
Interpolation Theorems for Self-Adjoint Operators, Shijun Zheng
Submissions from 2008
A New Class of Polynomial Interior-Point Algorithms for P*(κ)-Linear Complementarity Problems, Y. Q. Bai, Goran Lesaja, and C. Roos
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
Effects of Genetic Immunity and Resistance on Endemics, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Doubling Sampling T2 Control Charts with Estimated Parameters, Charles W. Champ and Francisco Aparisi
An Improved Method Of Visualizing The Energy Flow: The Rayleigh Wave, Cleon Dean and James P. Braselton
The Energy Flow For A Spherical Acoustic Lens: Ray vs. Wave Methods, Cleon Dean and James P. Braselton
Rings with Finite Gorenstein Global Dimension, Edgar E. Enochs, Sergio Estrada, and Alina Iacob
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
SPSS Manual with Solutions to Selected Problems (6th Edition), Patricia B. Humphrey
TI-83/84 Plus and TI-89 Manual, Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (2008), Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (2nd Edition), Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (6th Edition), Patricia B. Humphrey
An Algorithm for Clustering Tendency Assessment, Yingkang Hu and Richard J. Hathaway
Tendency Curves for Visual Clustering Assessment, Yingkang Hu and Richard J. Hathaway
Convergence of Local Variational Spline Interpolation, Scott N. Kersey and Ming-Jun Lai
Largest Number of Subtrees of Trees with a Given Maximum Degree, Russell Kirk and Hua Wang
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
The Optimal Parameters of SOR-k Methods for P-Cyclic Matrices, Xiezhang Li
A Note of Reconstruction Algorithm of the Strip-Based Projection Model for Discrete Tomography, Xiezhang Li and Jiehua Zhu
Nodal Solutions of a Perturbed Elliptic Problem, Yi Li, Zhaoli Liu, and Chunshan Zhao
Ramanujan–Slater Type Identities Related to the Moduli 18 and 24, James McLaughlin and Andrew Sills
Rogers-Ramanujan-Slater Type Identities, James McLaughlin, Andrew Sills, and Peter Zimmer
Measure of Compactness for Filters in the Approach Setting, Frédéric D. Mynard
Multifractal Structure of Noncompactly Supported Measures, Sze-Man Ngai
Harmonic Analysis Related to Schrödinger Operators, Gestur Olafsson and Shijun Zheng
A Note on Extreme Bernoulli and Dependent Families of Bivariate Distributions, Broderick O. Oluyede and Marvis Pararai
Inequalities and Exponential Approximations for Residual Life Reliability Functions, Broderick O. Oluyede and Marvis Pararai
Order Restricted Inference for Risk Difference and Discordant Probability, Broderick O. Oluyede and Marvis Pararai
Some Remarks on Finite Elements with an Elliptic Hole, Reinhard Piltner
Utilizing Discretized Cauchy Integrals for the Trefftz Method, Reinhard E. Piltner and Lixin Li
A Partition Bijection Related to the Rogers-Selberg Identities and Gordon's Theorem, Andrew Sills
Disturbing the q-Dyson Conjecture, Andrew Sills
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
Extremal Trees with Given Degree Sequence for the Randić Index, Hua Wang
The Extremal Values of the Wiener Index of a Tree with Given Degree Sequence, Hua Wang
Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion, Chunshan Zhao
Analysis on the Strip-Based Projection Model for Discrete Tomography, Jiehua Zhu, Xiezhang Li, Yangbo Ye, and Ge Wang
Submissions from 2007
The Effects of Immunity and Resistance on the Development of AIDS, Martha L. Abell, James P. Braselton, and Lorraine Braselton
Properties of Multivariate Control Chart with Estimated Parameters, Charles W. Champ and Allison L. Jones-Farmer
Moving Range and R Charts, Charles W. Champ and Deborah K. Shepherd
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
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
Closure Under Transfinite Extensions, Edgar Enochs, Alina Iacob, and Overtoun Jenda
A Generalized Finite Type Condition for Iterated Function Systems, Ka-Sing Lau and Sze-Man Ngai
Educational Optical Network Simulation Tool for Broadband Networks Course, Goran Lesaja and Ardian Greca
Spatiotemporal Interpolation and Constraint Databases for a GIS Application: Ozone in the Contiguous U.S., Lixin Li, Xingyou Zhang, and Reinhard E. Piltner
A Note on the Representations for the Drazin Inverse of 2x2 Block Matrices, Xiezhang Li and Yimin Wei
Locating the Peaks of Least Energy Solutions to a Quasilinear Ellitpic Neumann Problem, Yi Li and Chunshan Zhao
On the Shape of Least-Energy Solutions for a Class of Quasilinear Elliptic Neumann Problems, Yi Li and Chunshan Zhao
Bounds and Comparisons for Weighted Renewal-Type Integral Equations, Broderick O. Oluyede
A Note on Relations for Reliability Measures in Zero-Adjusted Models, Broderick O. Oluyede and Mavis Pararai
On Energy and Expected Uncertainty Measures in Weighted Distributions, Broderick O. Oluyede and Mekki Terbeche
On Weighted Covariance and Vitality Orderings with Applications to the Exponential Family, Broderick O. Oluyede and Mekki Terbeche
The Use of Discretized Cauchy Integrals for Finite Elements, Reinhard E. Piltner and Lixin Li
Attribute Charts for Monitoring a Dependent Process, Deborah K. Shepherd, Charles W. Champ, and Steven E. Rigdon
On the Simplification of Certain q-Multisums, Andrew Sills
Identities of the Rogers-Ramanujan-Slater Type, Andrew V. Sills
Improved Second Derivative Test for Relative Extrema, Yan Wu
An Anti-Symmetric Key Algorithm for Signal Encryption, Yan Wu and A. C. Vosler
Global LN Strong Solutions to the Magneto-Hydro-Dynamics Equations in the RN Space, Chunshan Zhao and Yinnian He
Time Decay for Schrödinger Equation with Rough Potentials, Shijun Zheng
Submissions from 2006
A Model of Allelopathy in the Context of Bacteriocin Production, Martha L. Abell, James P. Braselton, and Lorraine Braselton
Competition in the Chemostat: A Comparison of Inhibitory and Lethal Offensive Strategies, Martha L. Abell, James P. Braselton, and Lorraine Braselton
Which Planet is Largest?, Phillip Brown and James P. Braselton
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
Representations for the Drazin Inverse of a 2 X 2 Block Matrix, Robert Hartwig, Xiezhang Li, and Yimin Wei
Laplace Operators Related to Self-Similar Measures on Rd, Jiaxin Hu, Ka-Sing Lau, and Sze-Man Ngai
Effects of Parameter Estimation on Control Chart Properties: A Review, Willis A. Jensen, Allison L. Jones-Farmer, Charles W. Champ, and William H. Woodall
Mixed Interpolating-Smoothing Splines and the V-Spline, Scott N. Kersey
Nonuniform, Local Variational Subdivision, Scott N. Kersey
A Spatiotemporal Database for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, and Reinhard E. Piltner
Existence, Uniqueness and Decay Properties of Strong Solutions to an Evolutionary System of MHD Type in R3, Yi Li and Chunshan Zhao
Hitting the Bull's Eye: A Dart Game Simulation Using Graphing Calculator Technology, Kathleen Cage Mittag and Sharon Taylor
Function Spaces Associated with Schrödinger Operators: The Pöschl-Teller Potential, Gestur Olafsson and Shijun Zheng
A Note on Probability Weighted Moment Inequalities for Reliability Measures, Broderick O. Oluyede
On Bounds and Approximating Weighted Distributions by Exponential Distributions, Broderick O. Oluyede
Some General Notions of Stochastic Orderings for Weighted Reliability and Uncertainty Measures with Applications, Broderick O. Oluyede
Visualizing the Method of Finding Volumes by Cross Sections: An Eggs Periment, Jean Uhl, Patricia B. Humphrey, and James P. Braselton
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
