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The presentations 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 2010
Maximizing the Wiener Index, Andrew V. Sills and Hua Wang
Maximizing the Wiener Index, Andrew V. Sills and Hua Wang
Lp Estimates for the Maximal Functions, Alexander M. Stokolos
On Two Subtree Problems, Hua Wang
Questions Related to Subtree Order and their Elementary Solutions, Hua Wang
Trees in Phylogeny and Biochemistry, Hua Wang
Asymptotic Behaviors of Positive Solutions of a Class of Nonlinear Elliptic Equations, Chunshan Zhao
Nonlinear Schrödinger Equation with a Magnetic Potential, Shijun Zheng
Spectral Calculus for Differential Operators with Nonsmooth Coefficients, Shijun Zheng
A Full Row-Rank Matrix from Strip-Based Projection Model, Jiehua Zhu
Primary Spaces, Mackey’s Obstruction, and the Generalized Barycentric Decomposition, François Ziegler
Some Examples of Primary Spaces, François Ziegler
Submissions from 2009
A Novel Approach to Reconstructing the Photoelectric Effect, William A. Coggins
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
Direct Sums of DG-Injective Complexes, Alina Iacob
Homological Dimensions and Regular Rings, Alina Iacob
A Characterization of Regular Rings, Alina Iacob and Srikanth Iyengar
Interior-Point Method for Conic Linear Complementarity Problem, Goran Lesaja
Comparison of Deterministic and Stochastic Spatiotemporal Interpolation Methods for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, and Reinhard E. Piltner
Conformal Iterated Function Systems with Overlaps, Sze-Man Ngai
Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps, Sze-Man Ngai
Characterization and Dispersive Ordering of the Cauchy, Gauss and Logistic Laws, Broderick O. Oluyede
Exponential Approximations of Equilibrium and Residual Life Distribution Functions, Broderick O. Oluyede
On Mean Advantage Over Inferiors Ordering and Weighted Distributions, Broderick O. Oluyede
Some Results on Length-Biased Exponential Approximations and Current Duration Sampling, Broderick O. Oluyede
Solving Plate Bending Problems with Discretized Cauchy Integrals, Reinhard Piltner and Lixin Li
Calculus on the Table, Marshall Ransom
Calculus Within a Conference, Marshall Ransom
When is a Derivative Not Continuous?, Marshall Ransom
Review of AP Calculus Exam Grading, Marshall R. Ransom
Review of AP Calculus Exam Grading, Marshall R. Ransom
A New Look at the Partition Identities of Göllnitz, Andrew V. Sills
A New Look at the Partition Identities of Göllnitz, Andrew V. Sills
Computer Algebra and Rademacher-Type Partition Formulas, Andrew V. Sills
On the Rogers-Selberg Identities and Gordon’s Theorem, Andrew V. Sills
A Generalization of the Euler-Glaisher Partition Bijection, Andrew V. Sills, James Sellers, and Gary Mullen
On Multidimensional Extension of Dini Test, Alexander M. Stokolos
On Multidimensional Extension of Dini Test, Alexander M. Stokolos
Graph Theory Problems with Elementary Solutions, Hua Wang
Mathematics in Biology, Hua Wang
On a Distribution Problem of Ahlswede and Katona, Hua Wang
‘Semi-Regular Trees’ and Their Applications, Hua Wang
The ‘Semi-Regular Property’ of Extremal Tree Structures, Hua Wang
Asymptotic Behaviors of Solutions to a Class of N-Laplacian Neumann Problems, Chunshan Zhao
Asymptotic Behaviors of Solutions to a Class of Quasilinear Elliptic Equations with Large Diffusion, Chunshan Zhao
Spectral Calculus for Differential Operators with Nonsmooth Coefficients, Shijun Zheng
Spectral Calculus for Schrödinger Operators, Shijun Zheng
Spectral Multipliers for Schrödinger Operators, Shijun Zheng
Strichartz Estimates for Schrödinger Equation with a Magnetic Potential, Shijun Zheng
A Linear System of Strip-Based Projection Model in Discrete Tomography, Jiehua Zhu
Elements of Differential Geometry I, II, III, IV, V, François Ziegler
Submissions from 2008
Note on the CUSUM Charts for Uys and Lombard, Charles W. Champ
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 E. Dean and James P. Braselton
DG-Injective Covers, #-Injective Covers, Alina Iacob
Gorenstein Flat Dimension for Complexes, Alina Iacob
Some Topics in Gorenstein Homological Algebra, Alina Iacob
Multi-hierarchical Document-centric XML, Ionut E. Iacob
Constrained L2 Degree Reduction by Spline Functions, Scott N. Kersey
Kernel Functions and Interior-Point Algorithms for Sufficient Linear Complementarity Problems, Goran Lesaja
Kernel Functions and Interior-Point Methods for Conic Linear Complementarity Problems, Goran Lesaja
A Linear System Generated by the Strip-Based Projection Model for Discrete Tomography, Xiezhang Li, Jiehua Zhu, and Ge Wang
System Analysis and Reconstruction Algorithm for the Strip-Based Projection Model in Discrete Tomography, Xiezhang Li, Jiehua Zhu, Yangbo Ye, and Ge Wang
Analysis on Fractals Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai
Fractal Laplacians Defined by Iterated Function Systems With Overlaps, Sze-Man Ngai
Fractal Laplacians Defined by Iterated Function Systems With Overlaps and Their Spectral Asymptotics, Sze-Man Ngai
A Note on Length-Biased and Current Duration Sampling, Broderick O. Oluyede
Inference for Multinomial Parameters and Odds Ratios under Order Restrictions, Broderick O. Oluyede
Length-Biased and Current Duration Sampling, Broderick O. Oluyede
Some Remarks on Complex Solution Representations in Elasticity and Their Use for Numerical Methods, Reinhard Piltner
Review of AP Calculus Exam Grading, Marshall R. Ransom
Review of AP Calculus Exam Grading, Marshall R. Ransom
A Partition Bijection Relating the Rogers-Selberg Identities to a Special Case of Gordon’s Theorem, Andrew V. Sills
Computer Algebra and Rademacher-Type Partition Formulas, Andrew V. Sills
A Generalization of the Euler-Glaisher Partition Bijection, Andrew V. Sills, James Sellers, and Gary Mullen
How to Grow an Optimal Tree, Hua Wang
Poset Related to Graph Indices of Trees, Hua Wang
The Average Order of a Subtree of a Tree, Hua Wang
Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems with Large Diffusion, Chunshan Zhao
A Linear System Generated by Strip-Based Projection Model for Discrete Tomography, Jiehua Zhu
Analysis on the Strip-Based Projection Model for Discrete Tomography, Jiehua Zhu
Coadjoint Orbits and Unitary Representations, François Ziegler
Submissions from 2007
Let Your Algebra Students Play the Part, Deborah Bell
A Method for Selecting the Smoothing Matrix of an MEWMA Chart, Charles W. Champ
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
Absolute, Gorenstein, and Tate Torsion Modules, Alina Iacob
Avramov-Martsinkovsky Type Exact Sequences, Alina Iacob
DG-Injective Complexes, Alina Iacob
Direct Sums of DG-Injective Complexes, Alina Iacob
Convergence of Local Variational Interplation, Scott N. Kersey
Local Variational Spline Interplation, Scott N. Kersey
A New Class of Polynomial Interior-Point Algorithms for P*(κ)-Linear Complementarity Problems, Goran Lesaja
A New Class of Primal-Dual Interior-Point Algorithms for Linear Complementarity Problems, Goran Lesaja
Interior-Point Algorithms for P*(κ)-Linear Complementarity Problems Based on a New Class of Kernel Functions, Goran Lesaja
Spatiotemporal Interpolation and Constraint Databases for a GIS Application: Ozone in the Contiguous U.S., Lixin Li, Xingyou Zhang, and Reinhard E. Piltner
Exponential Approximations for Length Biased and Weighted Residual Life Reliability Functions, Broderick O. Oluyede
Exponential Approximations of Equilibrium and Residual Life Distribution Functions, Broderick O. Oluyede
