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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 2013
Exponentiated Kumaraswamy-Dagum Distribution with Applications to Income and Lifetime Data, Shujiao Huang and Broderick O. Oluyede
Discrete Fourier Restriction Associated with KdV Equations, Yi Hu and Xiaochun Li
Dual Basis Functions in Inner Product Spaces, Scott N. Kersey
Some Applications of Equimeasurable Rearrangements, Anatolii A. Korenovskii and Alexander M. Stokolos
Multiple Solutions of a p(x)-Laplacian Equation Involving Critical Nonlinearities, Yuan Liang, Xianbin Wu, Qihu Zhang, and Chunshan Zhao
Quantitative Reasoning Learning Progressions for Environmental Science: Developing a Framework, Robert L. Mayes, Franziska Peterson, and Rachel Bonilla
Pattern Avoidance in Cryptography: Theoretical Supports and Questions, Katie Milhous and Hua Wang
Local Rings of Embedding Codepth at Most 3 Have Only Trivial Semidualizing Complexes, Saeed Nasseh and Sean Sather-Wagstaff
The Mc-Dagum Distribution and Its Statistical Properties with Applications, Broderick O. Oluyede and Sasith Rajasooriya
The Apostles and Brothers of Jesus, Andrew Sills
Rademacher's Infinite Partial Fractions Conjecture is (Almost Certainly) False, Andrew Sills and Doron Zeilberger
Moduli of Smoothness and Rate of a.e. Convergence for Some Convolution Operators, Alexander M. Stokolos and Walter Trebels
Extremal Values of Ratios: Distance Problems vs. Subtree Problems in Trees, László A. Székely and Hua Wang
Special Issue in Honor of Professor Kees Roos' 70th Birthday, Tamas Terlaky, Etienne de Klerk, Goran Lesaja, and Dick den Hertog
Distance-Based Graph Invariants of Trees and the Harary Index, Stephan G. Wagner, Hua Wang, and Xiao-Dong Zhang
Full Nesterov-Todd Step Feasible Interior-Point Method for the Cartesian P *(Κ)-SCLCP, G. Q. Wang and Goran Lesaja
Binary Words, N-Color Compositions and Bisection of the Fibonacci Numbers, Hua Wang, Alex Collins, and Charles Dedrickson
Mathematical Model of Dynamic Protein Interactions Regulating p53 Protein Stability for Tumor Suppression, Hua Wang and Guang Peng
Global Asymptotic Stability of Wavelet Network Adaptive Control of A Single-Loop Thermosyphon, Yan Wu
Qualitative Properties of A System of Differential Equations Involving Kronecker Product of Matrices, Yan Wu, Kanuri N. Murty, K. V. K. Viswanadh, and P. Ramesh
Existence, Uniqueness and Blow-Up Rate of Large Solutions of Quasi-Linear Elliptic Equations with Higher Order and Large Perturbation, Qihu Zhang and Chunshan Zhao
The Number of Subtrees of Trees with Given Degree Sequence, Xiu-Mei Zhang, Xiao-Dong Zhang, Daniel Gray, and Hua Wang
Identify Key Links in the DNA Repair Network Regulated by Tumor Suppressors PTEN and BRCA1 through Maximum Flow Analysis, Yiran Zhang, Hua Wang, and Guang Peng
On q-Analogs of Wostenholme Type Congruences for Multiple Harmonic Sums, Jianqiang Zhao
Sum Formula of Multiple Hurwitz-Zeta Values, Jianqiang Zhao
Nonlinear Schrodinger Equations for Bose-Einstein Condensates, Shijun Zheng
A Generalized l₁ Greedy Algorithm for Image Reconstruction in CT, Jiehua Zhu and Xiezhang Li
Fractions as a Foundation for Algebra within a Sample of Prospective Teachers, L. R. Zientek, R. Younes, K. Nimon, Kathleen Cage Mittag, and Sharon E. Taylor
Submissions from 2012
Special Issue in Honor of Professor Florian A. Potra's 60th Birthday, Mihai Anitescu and Goran Lesaja
Generalized Diamond-Alpha Dynamic Opial Inequalities, Nuriye Atasever, Billûr Kaymakçalan, Goran Lesaja, and Kenan Taş
Local Self-Concordance of Barrier Functions Based on Kernel Functions, Y. Bai, Goran Lesaja, H. Mansouri, C. Roos, and M. Zangiabadi
Proper Connection of Graphs, Valentin Borozan, Shinya Fujita, Aydin Gerek, Colton Magnant, Yannis Manoussakis, Leandro Montero, and Zsolt Tuza
Cotorsion Pairs in C(R-Mod), Diego Bravo, Edgar E. Enochs, Alina Iacob, Overtoun M. G. Jenda, and Juan Rada
Optimal Trees for Functions of Internal Distance, Alex Collins, Fedelis Mutiso, and Hua Wang
Structure of Colored Complete Graphs Free of Proper Cycles, Vincent E. Coll, Colton Magnant, and Kathleen Ryan
Lecture Hall Sequences, q-Series, and Asymmetric Partition Identities, Sylvie Corteel, Carla D. Savage, and Andrew Sills
Energy Flux Streamlines versus Acoustic Rays for Modeling Interaction with Rigid Boundaries: A Lloyds Mirror Experiment, Cleon E. Dean and James P. Braselton
Structure of Planar Integral Self-Affine Tilings, Da-Wen Deng, Tao Jiang, and Sze-Man Ngai
A Bijection between Two Classes of Restricted Compositions, James D. Diffenderfer
Generalized Borcea-Voisin Construction, Jimmy Dillies
On Some Order 6 Non-Symplectic Automorphisms of Elliptic K3 Surfaces, Jimmy J. Dillies
Balance with Unbounded Complexes, Edgar E. Enochs, Sergio Estrada, and Alina Iacob
Gorenstein Projective and Flat Complexes over Noetherian Rings, Edgar E. Enochs, Sergio Estrada, and Alina Iacob
Distributing Vertices on Hamiltonian Cycles, Ralph J. Faudree, Ronald Gould, Michael S. Jacobson, and Colton Magnant
Claw-Free Graphs and Separating Independent Sets On 2-Factors, Ralph J. Faudree, Colton Magnant, Kenta Ozeki, and Kiyoshi Yoshimoto
K-Rainbow Domatic Numbers, Shinya Fujita, Michitaka Furuya, and Colton Magnant
Proper Connection with Many Colors, Shinya Fujita, Aydin Gerek, and Colton Magnant
Extensions of Gallai–Ramsey results, Shinya Fujita and Colton Magnant
Cycles, the Degree Distance, and the Wiener Index, Daniel Gray and Hua Wang
Trees with the Most Subtrees: An Algorithmic Approach, Daniel Gray, Hua Wang, Xiao-Dong Zhang, and Xiu-Mei Zhang
Transference of Weak Type Bounds of Multiparameter Ergodic and Geometric Maximal Operators, Paul Hagelstein and Alexander M. Stokolos
On Distance Between Graphs, Alexander Halperin, Colton Magnant, and Daniel M. Martin
What Is a p-value?, Patricia B. Humphrey
What Is a p-Value?, Patricia B. Humphrey
VATdt: Visual Assessment of Cluster Tendency using Diagonal Tracing, Yingkang Hu
High-Degree Polynomial Models for CT Simulation, Yingkang Hu and Jiehua Zhu
The V-Flex, Triangle Orientation, and Catalan Numbers in Hexaflexagons, Ionut E. Iacob, T. Bruce McLean, and Hua Wang
The V-Flex, Triangle Orientation and Catalan Numbers in Hexaflexagons, Ionut E. Iacob, T. Bruce McLean, and Hua Wang
Theoretical Properties of the Length-Biased Inverse Weibull Distribution, Jing X. Kersey and Broderick O. Oluyede
Martin Boundary and Exit Space on the Sierpinski Gasket, Ka-Sing Lau and Sze-Man Ngai
Interior-Point Methods for Linear Complementarity Problems, Goran Lesaja
Full Newton-Step Interior-Point Method for Linear Complementarity Problems, Goran Lesaja, Antre M. Drummer, and Ljiljana Miletić
Interior-Point Methods for Cartesian P *(κ) -Linear Complementarity Problems over Symmetric Cones Based on the Eligible Kernel Functions, Goran Lesaja, G. Q. Wang, and D. T. Zhu
Estimating Population Exposure to Fine Particulate Matter in the Conterminous U.S. Using Shape Function-Based Spatiotemporal Interpolation Method: A County Level Analysis, Lixin Li, Xingyou Zhang, James B. Holt, Jie Tian, and Reinhard Piltner
The Convergence of Two Algorithms for Compressed Sensing Based Tomography, Xiezhang Li and Jiehua Zhu
Partitioning Graphs Into Paths or Cycles of Prescribed Lengths, Colton Magnant and Kenta Ozeki
On a Pair of Identities from Ramanujan's Lost Notebook, James McLaughlin and Andrew Sills
A Convergence-Theoretic Viewpoint on the Arzelà-Ascoli Theorem, Frédéric D. Mynard
Contemporary Mathematics: Recent Advances in Harmonic Analysis and Partial Differential Equations, Andrea R. Nahmod, Christopher D. Sogge, Xiaoyi Zhang, and Shijun Zheng
Singularity and L2-Dimension of Self-Similar Measures, Sze-Man Ngai
Polynomials Non-Negative on Strips and Half-Strips, Ha Nguyen and Victoria Powers
Hybrid Microdata via Model-Based Clustering, Anna Oganian and Josep Domingo-Ferrer
Greedy Trees, Caterpillars, and Wiener-Type Graph Invariants, Nina S. Schmuck, Stephan G. Wagner, and Hua Wang
Greedy Trees, Caterpillars, and Wiener-Type Graph Invariants, Nina S. Schmuck, Stephen G. Wagner, and Hua Wang
Using Runs Rules to Monitor an Attribute Chart for a Markov Process, Deborah K. Shepherd, Steve E. Rigdon, and Charles W. Champ
Theoretical Properties of the Weighted Generalized Rayleigh and Related Distributions, Xueheng Shi, Broderick O. Oluyede, and Marvis Pararai
On the Maximal Wiener Index and Related Questions, Andrew Sills and Hua Wang
Formulæ for the Number of Partitions of n into at Most m Parts (Using the Quazi-Polynomial Ansatz), Andrew Sills and Doron Zeilberger
Parametric Inverse of Severely Ill-Conditioned Hermitian Matrices in Signal Processing, Yan Wu
Blow-Up Rate and Uniqueness of Singular Radial Solutions for a Class of Quasi-Linear Elliptic Equations, Zhifu Xie and Chunshan Zhao
Estimation of Parameters in Weighted Generalized Beta Distribution of the Second Kind, Yuan Ye, Broderick O. Oluyede, and Marvis Pararai
Weighted Generalized Beta Distribution of the Second Kind, Yuan Ye, Broderick O. Oluyede, and Marvis Pararai
Fractional Regularity for Nonlinear Schödinger Equations with Magnetic Fields, Shijun Zheng
Submissions from 2011
Saturation Numbers for Families of Ramsey-Minimal Graphs, Guantao Chen, Micheal Ferrara, Ronald Gould, Colton Magnant, and John Schmitt
Energy Flux Streamlines versus the Alternatives for the Visualization of Energy Flow in Acoustical Scattering Problems: Simple Examples, Cleon Dean and James P. Braselton
Conformal Iterated Function Systems with Overlaps, Qi-Rong Deng and Sze-Man Ngai
Group Topologies Coarser than the Isbell Topology, Szymon Dolecki, Francis Jordan, and Frédéric D. Mynard
Hybrid Proofs of the q-Binomial Theorem and Other Identities, Dennis Eichhorn, James McLaughlin, and Andrew Sills
Long Path Lemma Concerning Connectivity and Independence Number, Shinya Fujita, Alexander Halperin, and Colton Magnant
Rainbow K-Connection In Dense Graphs, Shinya Fujita, Henry Liu, and Colton Magnant
Independence Number and Disjoint Theta Graphs, Shinya Fujita and Colton Magnant
Properly Colored Paths and Cycles, Shinya Fujita and Colton Magnant
Weak Type Inequalities for Maximal Operators Associated to Double Ergodic Sums, Paul Hagelstein and Alexander M. Stokolos
Minitab Manual with Solutions to Selected Problems (2nd Edition), Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (2nd Edition 1), Patricia B. Humphrey
DG-Injective Covers, #-Injective Covers, Alina Iacob
Core Compactness and Diagonality in Spaces of Open Sets, Francis Jordan and Frédéric D. Mynard
Quasi-metric Representations of Various Categories of Closure Spaces, Ralph Kopperman, Frédéric D. Mynard, and Peter Ruse
Kernel-Based Interior-Point Methods for Cartesian P*(κ)-Linear Complementarity Problems over Symmetric Cones, Goran Lesaja
Kernel-Based Interior-Point Methods for Monotone Linear Complementarity Problems over Symmetric Cones, Goran Lesaja and C. Roos
