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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 2011
Spatiotemporal Interpolation Methods for Air Pollution Exposure, Lixin Li, Xingyou Zhang, James B. Holt, Jie Tian, and Reinhard Piltner
Non-Käler Symplectic Manifolds with Toric Symmetries, Yi Lin and Alvaro Pelayo
A Representation for the Drazin Inverse of Block Matrices with a Singular Generalized Schur Complement, Xiezhang Li
A Full Row-Rank System Matrix Generated Along Two Directions in Discrete Tomography, Xiezhang Li, Hua Wang, Yan Wu, and Jiehua Zhu
A Block Components Average Algorithm for Compressed Sensing Based Tomography, Xiezhang Li and Jiehua Zhu
Distributing Vertices Carefully on a Hamiltonian Cycle, Colton Magnant
Meander Graphs and Frobenius Seaweed Lie Algebras, Colton Magnant, Vincent E. Coll, and Anthony Giaquinto
Ramsey Set Numbers in Balanced Complete Multipartite Graphs, Colton Magnant and Adam Yusko
Polynomial Generalizations of Two-Variable Ramanujan Type Identities, James McLaughlin and Andrew Sills
Riding the Ferris Wheel: A Sinusoidal Model, Kathleen Cage Mittag and Sharon E. Taylor
Metrics That Suit for Dichotomy, Well Conditioning and Object Oriented Design on Measure Chains, Kanuri N. Murty, Yan Wu, and Viswanadh Kanuri
Spectral Asymptotics of Laplacians Associated to One-Dimensional Iterated Function Systems with Overlaps, Sze-Man Ngai
Multiplicative Noise for Masking Numerical Microdata Data with Constraints, Anna Oganian
Masking Methods that Preserve Positivity Constraints in Microdata, Anna Oganian and Alan F. Karr
Exponential Dominance and Uncertainty for Weighted Residual Life Measures, Broderick O. Oluyede
On Weighted Distributions and Mean Advantage Over Inferiors Functions, Broderick O. Oluyede and Norou Diawara
Mixed-Enhanced Quadrilateral Finite Elements with Wachspress-Type Functions, Reinhard E. Piltner and Lixin Li
On an Identity of Gessel and Stanton and the New Little Göllnitz Identities, Carla D. Savage and Andrew Sills
Compositions, Partitions, and Fibonacci Numbers, Andrew Sills
The Sum of the Distances Between Leaves of a Tree and the ‘Semi-Regular’ Property, László A. Székely, Hua Wang, and Taoyang Wu
On the Wiener Index: An Edge Version v.s. the Original, Hua Wang
Controllability and Observability of Matrix Differential Algebraic Equations, Yan Wu
On the Modeling and Control of Coupled Multi-Loop Thermosyphons, Yan Wu
Interpolation of Bandlimited Signals from Uniform or Non-uniform Integral Samples, Yan Wu and Nariman Sepehri
Adaptive Control of Linear Time Invariant Systems via a Wavelet Network and Applications to Control Lorenz Chaos, Yan Wu and Jonathan S. Tanner
A Wavelet-Based Approach for Online External Leakage Diagnosis and Isolation from Internal Leakage in Hydraulic Actuators, Amin Yazdanpanah-Goharizi, Nariman Sepehri, and Yan Wu
The Block Diagonally-Relaxed Orthogonal Projection Algorithm for Compressed Sensing Based Tomography, Jiehua Zhu and Xiezhang Li
Submissions from 2010
The Combinatorics of All Regular Flexagons, Thomas A. Anderson, T. Bruce McLean, Homeira Pajoohesh, and Chasen Smith
Generalized Complex Hamiltonian Torus Actions: Examples and Constraints, Thomas Baird and Yi Lin
Topology of Generalized Complex Quotients, Thomas Baird and Yi Lin
Besov Spaces for the Schrödinger Operator with Barrier Potential, John J. Benedetto and Shijun Zheng
Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians Defined by Iterated Function Systems with Overlaps, Jie Chen and Sze-Man Ngai
Performance Assessments with Pre-Service Teachers to Build a Firm Foundation for the Division Algorithm, Joy W. Darley and B. Leapard
Fejér Polynomials and Control of Nonlinear Discrete Systems, Dmitriy Dmitrishin, Paul Hagelstein, Anna Khamitova, Anatolii Korenovskyi, and Alexander M. Stokolos
A Unified Theory of Function Spaces and Hyperspaces: Local Properties, Szymon Dolecki and Frédéric D. Mynard
When is the Isbell Topology a Group Topology?, Szymon Dolecki and Frédéric D. Mynard
A Wavelet-Based Approach for Diagnosis of Internal Leakage in Hydraulic Actuators using On-Line Measurements, Amin Yazdanpanah Goharrizi, Nariman Sepehri, and Yan Wu
Weak Type Inequalities for Ergodic Strong Maximal Operators, Paul Hagelstein and Alexander M. Stokolos
Minitab Manual with Solutions to Selected Problems (3rd Edition), Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (7th Edition), Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (7th Edition 1), Patricia B. Humphrey
Computed Tomography Simulation Using Supertoroids, Yingkang Hu and Jiehua Zhu
A Distribution-Free Phase I Control Charts for Subgroup Scale, Allison L. Jones-Farmer and Charles W. Champ
Convergence of Block Cyclic Projection and Cimmino Algorithms for Compressed Sensing Based Tomography, Xiezhang Li and Jiehua Zhu
Some Implications of Chu's 10ψ10 Generalization of Bailey's 6ψ6 Summation Formula, James McLaughlin, Andrew Sills, and Peter Zimmer
Mean, Median, or Mode: Which One Is My Pencil?, Kathleen Cage Mittag, Sharon Taylor, and D. Fies
Phenotype Spaces, Frédéric D. Mynard and Gavin J. Seal
Graph-Directed Iterated Function Systems Satisfying the Generalized Finite Type Condition, Sze-Man Ngai, Fei Wang, and Xinhan Dong
Multivariate Noise Protocols, Anna Oganian
On Proximity of Weighted and Exponential Distributions, Broderick O. Oluyede
Rademacher-Type Formulas for Partitions and Overpartitions, Andrew Sills
Rademacher-Type Formulas for Restricted Partition and Overpartition Functions, Andrew Sills
Towards an Automation of the Circle Method, Andrew Sills
Tennis Balls, Lines, and Geometric Transformations, Sharon Taylor and Kathleen Cage Mittag
The Average Order of a Subtree of a Tree, Andrew Vince and Hua Wang
Sums of Distances between Vertices/Leaves in K-ary Trees, Hua Wang
Trees with Given Number of Pendant Edges and Their Wiener Indices, Hua Wang
The SOR-k Method for Linear System with P-Cyclic Matrices, Liancheng Wang, Jiehua Zhu, and Xiezhang Li
k-Potent Matrices-Construction and Applications in Digital Image Encryption, Yan Wu
Suppressing the Chaotic Behavior of the Lorenz System with a Quotient Controller II: Global Stability Analysis, Yan Wu and Daniel C. Jones
Suppressing the Chaotic Behavior of the Lorenz System with a Quotient Controller I: Local Stability Analysis, Yan Wu and Daniel C. Jones
On the Eigenstructures of Functional K-Potent Matrices and Their Integral Forms, Yan Wu and Daniel F. Linder
On the Characteristic Polynomial of Regular Linear Matrix Pencil, Yan Wu and Phillip Lorren
Strichartz Estimates and Local Wellposedness for the Schrödinger Equation with the Twisted Sub-Laplacian, Zhenqiu Zhang and Shijun Zheng
Locating the Peaks of Least-Energy Solutions to a Quasi-Linear Elliptic Neumann Problem, Part II, Chunshan Zhao and Yi Li
On the Structure of Solutions to a Class of Quasilinear Elliptic Neumann Problems, Part II, Chunshan Zhao and Yi Li
Note on Gradient Estimates of Heat Kernel for Schrödinger Operators, Shijun Zheng
Spectral Multipliers for Schrödinger Operators, Shijun Zheng
A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography, Jiehua Zhu and Xiezhang Li
Submissions from 2009
Some More Identities of Rogers-Ramanujan Type, Douglas Bowman, James McLaughlin, and Andrew Sills
Building Confidence in Algebraic Operations: Traveling from Fractions to Rational Expressions on The Number Line – Part I, Joy W. Darley
Building Confidence in Algebraic Operations: Traveling from Fractions to Rational Expressions on the Number Line – Part II, Joy W. Darley
Understanding Variables: Traveling from Arithmetic to Algebra on the Number Line, Joy W. Darley
Energy Flux Streamlines vs the Alternatives for the Visualization of Energy Coupling at and Inside the Surface of an Ensonified Fluid Loaded Elastic Cylindrical Shell with Vacuum Interior: Preliminary Results, Cleon Dean and James P. Braselton
The Energy Flow for a Spherical Acoustic Lens: Ray and Wave Methods vs Experiment, Cleon Dean and James P. Braselton
Multifractal Formalism for Self-Affine Measures with Overlaps, Qi-Rong Deng and Sze-Man Ngai
Convergence Foundations of Topology, Szymon Dolecki and Frédéric D. Mynard
Internal Leakage Diagnosis in Hydraulic Actuators Using Wavelet Transforms, Amin Yazdanpanah Goharrizi, Nariman Sepehri, and Yan Wu
Tauberian Conditions for Geometric Maximal Operators, Paul Hagelstein and Alexander Stokolos
Density-Weighted Fuzzy C-Means Clustering, Richard J. Hathaway and Yingkang Hu
Minitab Manual with Solutions to Selected Problems (2009), Patricia B. Humphrey
Minitab Manual with Solutions to Selected Problems (5th Edition), Patricia B. Humphrey
SPSS Manual with Solutions to Selected Problems (2009), Patricia B. Humphrey
SPSS Manual with Solutions to Selected Problems (2009 1), Patricia B. Humphrey
SPSS Manual with Solutions to Selected Problems (2009 2), Patricia B. Humphrey
SPSS Manual with Solutions to Selected Problems (5th Edition), Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (2009), Patricia B. Humphrey
TI Graphing Calculator Manual with Solutions to Selected Problems (5th Edition), Patricia B. Humphrey
Graphing Calculator Manual for Stats, Patricia B. Humphrey and John Diehl
Gorenstein Flat Dimension of Complexes, Alina Iacob
Homological Dimensions and Regular Rings, Alina Iacob and Srikanth B. Iyengar
Distribution-Free Phase I Control Charts for Subgroup Location, Allison L. Jones-Farmer, Victoria Jordan, and Charles W. Champ
Constrained Variational Refinement, Scott N. Kersey
Separation Conditions for Conformal Iterated Function Systems, Ka-Sing Lau, Sze-Man Ngai, and Xiang-Yang Wang
Introducing Interior-Point Methods for Introductory Operations Research Courses and/or Linear Programming Courses, Goran Lesaja
Interior-Point Algorithms for a Class of Convex Optimization Problems, Goran Lesaja and Verlynda Slaughter
Comparison of Deterministic and Stochastic Spatiotemporal Interpolation Methods for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, and Reinhard E. Piltner
Combinatorics of Ramanujan-Slater Type Identities, James McLaughlin and Andrew Sills
Lifting Bailey Pairs to WP-Bailey Pairs, James McLaughlin, Andrew Sills, and Peter Zimmer
Rogers-Ramanujan Computer Searches, James McLaughlin, Andrew Sills, and Peter Zimmer
