The Mathematical Sciences Faculty & Staff Presentations collection preserves scholarly and creative works by Georgia Southern faculty and staff during their time at the University.

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Submissions from 2012

A Photolysis Study of VanillinTetraphenyl Porphyrin, William A. Coggins

Connections for Women, Alina Iacob

Gorenstein Injective Envelopes, Alina Iacob

Dual Bases on Subspaces and the Approximation from Sums of Polynomial and Spline Spaces, Scott N. Kersey

Nspiring Activities for College Algebra in Context, Bridgett H. Lee and Lisa S. Yocco

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Full Newton-Step Infeasible Interior-Point Methods for Linear Complementarity Problems, Goran Lesaja

Full Newton-Step Interior-Point Methods for Linear Complementarity Problems, Goran Lesaja

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Improving Education of Mathematics Majors, Goran Lesaja

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Infeasible Full Newton-Step Interior-Point Methods for P*(κ)-Linear Complementarity Problems, Goran Lesaja

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Infeasible Full Newton-Step Interior-Point Methods for Monotone Linear Complementarity Problems, Goran Lesaja

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Interior-Point Methods for Linear Complementarity Problems Based on Full Newton-Steps, Goran Lesaja

The Linear Dependence of Rows in a System Matrix Generated by the Strip-Based Projection Model in CT, Xiezhang Li, Hua Wang, Yan Wu, and Jiehua Zhu

Boundary Theory on the Sierpinski Gasket and Hata Tree, Sze-Man Ngai

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Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai

Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai

What Works for Me with STEM Students, Marshall Ransom

Review of AP Calculus Exam Grading, Marshall R. Ransom

Review of AP Calculus Exam Grading, Marshall R. Ransom

Rademacher’s Infinite Partial Fractions Conjecture, Andrew V. Sills

A Generalization of the Euler-Glaisher Bijection, Andrew V. Sills, James Sellers, and Gary Mullen

Maximizing the Wiener Index, Andrew V. Sills and Hua Wang

Rademacher’s Infinite Partial Fractions Conjecture Is (Almost Certainly) False, Andrew V. Sills and Doron Zeilberger

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Rademacher’s Infinite Partial Fractions Conjecture Is (Almost Certainly) False, Andrew V. Sills and Doron Zeilberger

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Monge-Ampere Equations and Bellman Functions: The Dyadic Maximal Operator, Alexander M. Stokolos

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On the Rate of a.e. Convergence of Certain Classic Integral Means, Alexander M. Stokolos

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The Gurov-Reshetnyak Condition and A_∞, Alexander M. Stokolos

Colored Compositions and Numerical Strings, Hua Wang

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Compositions, Tilings, and Numerical Strings, Hua Wang

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Cospectral Mate of a Random Tree, Hua Wang

Dense Trees and Indistinguishable Trees, Hua Wang

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Distance-Based Functions of Trees, Hua Wang

Everything that Counts in Blotto’s Game, Hua Wang

General Topics of Graduate Study, Hua Wang

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Greedy Trees and the Extremal Distances, Hua Wang

Greedy Trees, Caterpillars and Graph Invariants, Hua Wang

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Indistinguishable Trees and Graphs, Hua Wang

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What Else is New on Subtrees of Trees, Hua Wang

When Are Trees Dense, Sparse, or Indistinguishable, Hua Wang

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Pseudo-Twins and Isomorphic Subgraphs, Hua Wang and Stephan Wagner

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Some Estimates of Solutions to a Quasilinear Elliptic Dirichlet Problem with Large Diffusion, Chunshan Zhao

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The Block DROP and CAV Algorithms for Compressed Sensing Computing Tomography, Jiehua Zhu

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Primary Spaces, François Ziegler

Primary Spaces, François Ziegler

Submissions from 2011

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Using Performance Assessments to Connect Fractions and Rational Expressions: Noyce Scholars as Mentors to Pre-Service Elementary Teachers, Joy W. Darley, Michelle Cawthorn, Marlynn Griffin, Brian P. Koehler, and James LoBue

DG-Injective Complexes, Alina Iacob

Approximation by Subdivision, Scott N. Kersey

Interior-Point Methods for Cartesian P*(κ)-Linear Complementarity Problems over Symmetric Cones Based on the Eligible Kernel Functions, Goran Lesaja

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Kernel-Based Interior-Point Methods for Cartesian P*(κ)-LCP over Symmetric Cones, Goran Lesaja

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A Row-Rank System Matrix Generated by the Strip-Based Projection Model in Parallel-Beam Image Reconstruction, Xiezhang Li

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A Block Components Average Algorithm for Compressed Sensing Based Tomography, Xiezhang Li and Jiehua Zhu

A Class of One-Dimensional Wave Equations Defined by IFSs with Overlaps, Sze-Man Ngai

Boundary Theory on the Sierpinski Gasket and Hata Tree, Sze-Man Ngai

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Martin Boundary and Exit Space on the Sierpinski Gasket and Other Fractals, Sze-Man Ngai and Ka-Sing Lau

Local Dependence, Stochastic Inequalities and Orderings of Distributions with Applications, Broderick O. Oluyede

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Plane Strain Finite Elements with Wachspress-Type Functions, Reinhard Piltner

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Mixed-Enhanced Quadrilateral Finite Elements with Wachspress-Type Funtions, Reinhard Piltner and Lixin Li

Review of AP Calculus Exam Grading, Marshall R. Ransom

Review of AP Calculus Exam Grading, Marshall R. Ransom

A Revival of Sylvester's Wave Theory of Partitions, Andrew V. Sills

A Revival of Sylvester’s Wave Theory of Partitions, Andrew V. Sills

Bellman Function for the Dyadic Maximal Operator, Alexander M. Stokolos

Bellman Function for the Dyadic Maximal Operator, Alexander M. Stokolos

On the Rate of a.e. Convergence by Convolution Type Means, Alexander M. Stokolos

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Counting Subtrees: Enumerative and Extremal Questions, Hua Wang

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Finding Redundant Rows in Two-Direction Generated Matrix in DT, Hua Wang

Majorization of Extremal Trees on the Degree Sequences, Hua Wang

Subtrees, Degree Sequence and Partial Ordering of the Optimal Trees, Hua Wang

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Asymptotic Behaviors of Solutions to a Class of N-Laplacian Elliptic Equations, Chunshan Zhao

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Asymptotic Behaviors of Solutions to a Quasi-Linear Elliptic Dirichlet Problem with Large Diffusion, Chunshan Zhao

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Long Time Solutions of the Nonlinear Schrödinger Equation with a Magnetic Field, Shijun Zheng

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A Block Diagonally-Relaxed Orthogonal Projection Algorithm for Computed Tomography, Jiehua Zhu

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Incorporating Block Iterations to Compressed Sensing Based Algorithms for Computed Tomography, Jiehua Zhu

Katsevich's Exact Filtered Back Projection Algorithm for Spiral Computed Tomography (I-V), Jiehua Zhu

On the System Matrix for the Strip-Based Projection Model in Discrete Tomography, Jiehua Zhu

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The Block Diagonally-Relaxed Orthogonal Projection Algorithm for Compressed Sensing Based Tomography, Jiehua Zhu

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Primary Spaces, François Ziegler

Submissions from 2010

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Steps To Improving Student Retention and Progression, Martha L. Abell, Sharon Barrs, Patricia B. Humphrey, Bridgett H. Lee, James P. Braselton, and Lorraine Braselton

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One-Dimensional Wave Equations Defined by Fractal Laplacians, John Chan, Sze-Man Ngai, and Alexander Teplyaev

A Spectrum Analysis of a Doubly Doped Magnesium Phosphor for Led Lighting, William A. Coggins

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Energy Flux Streamlines versus the Alternatives for the Visualization of Energy Coupling Inside and Outside the Surface of an Ensonified Spherical Acoustic Lens: Preliminary Results, Cleon Dean and James Braselton

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Integrating Service-Learning into a Four Year Honors Program Experience, Steven Engel, Phyllis Dallas, Gustavo O. Maldonado, and James P. Braselton

A Survey of Covers, Alina Iacob

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Gorenstein Flat Complexes over Noetherian Rings, Alina Iacob

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Best l2 Spline-By-Spline Approximation, Scott N. Kersey

Raising the Power of Your Teaching, Bridgett H. Lee and Jackie Varnell

Kernel-Based Interior-Point Methods for Cartesian P*(κ)-LCP over Symmetric Cones, Goran Lesaja

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Kernel-Based Interior-Point Methods for Monotone LCP over Symmetric Cones, Goran Lesaja

A Full Row-Rank System Matrix Generated by the Strip-Based Projection Model in Discrete Tomography, Xiezhang Li and Jiehua Zhu

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Fractal Differential Equations Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai, John Chan, Jie Chen, Jiaxin Hu, and Ka-Sing Lau

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Fractal Laplacians Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai, John Chan, Jie Chen, Jiaxin Hu, and Ka-Sing Lau

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Characterization and Dispersive Ordering of the Cauchy, Gauss and Logistics Laws, Broderick O. Oluyede

Review of AP Calculus Exam Grading, Marshall R. Ransom

Review of AP Calculus Exam Grading, Marshall R. Ransom

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All I Really Need To Know, I Learned From Dr. Z, Andrew V. Sills

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Identities of the Ramanujun-Slater Type, Andrew V. Sills

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Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!, Andrew V. Sills

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Maximizing the Wiener Index, Andrew V. Sills and Hua Wang

Maximizing the Wiener Index, Andrew V. Sills and Hua Wang

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Lp Estimates for the Maximal Functions, Alexander M. Stokolos

On Two Subtree Problems, Hua Wang