Mathematics Faculty Articles
Submissions from 2018
Arithmagons and Geometrically Invariant Multiplicative Integer Partitions, J. A. Franco, J. Champion, and J. W. Lyons
Varieties generated by unstable involution semigroups with continuum many subvarieties, Edmond W. H. Lee
Variety Membership Problem for Two Classes of Non-Finitely Based Semigroups, Edmond W. H. Lee
Submissions from 2017
The Logistic Growth Model as an Approximating Model for Viral Load Measurements of Influenza A Virus, Abbiana Arenas, Neil B. Thackar, and Evan Haskell
Spectral Properties of a Sequence of Matrices Connected to Each Other via Schur Complement and Arising in a Compartmental Model, Evan Haskell and Vehbi Emrah Paksoy
Equational Theories of Unstable Involution Semigroups, Edmond W. H. Lee
On a Class of Completely Join Prime J-Trivial Semigroups with Unique Involution, Edmond W. H. Lee
An Extension of Harnack Type Determinantal Inequality, Minghua Lin and Fuzhen Zhang
On the Number of Vertices of the Stochastic Tensor Polytope, Zhongshan Li, Fuzhen Zhang, and Xiao-Dong Zhang
Submissions from 2016
Decomposition of Finite Schmidt Rank Bounded Operators on the Tensor Product of Separable Hilbert Spaces, Abdelkrim Bourouihiya
Pointfree Functorial Polar Functions, Ricardo Enrique Carrera
Bounded Equivalence of Hull Classes in Archimedean Lattice-Ordered Groups with Unit, Ricardo Enrique Carrera and Anthony W. Hager
An Inequality for Tensor Product of Positive Operators and Its Applications, Haixia Chang, Vehbi Emrah Paksoy, and Fuzhen Zhang
Polytopes of Stochastic Tensors, Haixia Chang, Vehbi Emrah Paksoy, and Fuzhen Zhang
Finite Involution Semigroups with Infinite Irredundant Bases of Identities, Edmond W. H. Lee
Finitely Based Finite Involution Semigroups with Non-finitely Based Reducts, Edmond W. H. Lee
An Update on a Few Permanent Conjectures, Fuzhen Zhang
Submissions from 2015
Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity, Johnny J. Benedetto and Abdelkrim Bourouihiya
Circumvention of Learning Increases Intoxication Efficacy of Nematicidal Engineered Bacteria, Olena R. Bracho, Cyril Mancherry, Evan Haskell, Christopher Blanar, and Robert P. Smith
B-saturated hull classes in l-groups and covering classes of spaces, Ricardo Enrique Carrera and Anthony W. Hager
αcc-Baer Rings, Ricardo Enrique Carrera, Wolf Iberkleid, Ramiro Lafuente-Rodriguez, and Warren William McGovern
Interpretation of Generalized Matrix Functions via Geometric Measure of Quantum Entanglement, Haixia Chang, Vehbi Emrah Paksoy, and Fuzhen Zhang
A Class of Finite Semigroups Without Irredundant Bases of Identities, Edmond W. H. Lee
Inherently Non-Finitely Generated Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee
The Variety Generated by All Monoids of Order Four Is Finitely Based, Edmond W. H. Lee and Jian Rong Li
Finite Basis Problem for Semigroups of Order Six, Edmond W. H. Lee and Wen Ting Zhang
The Derivative of a Solution to a Second Order Parameter Dependent Boundary Value Problem with a Nonlocal Integral Boundary Condition, Jeffrey W. Lyons and Joseph K. Miller
A Difference Equation with Anti-Periodic Boundary Conditions, Jeffrey W. Lyons and Jeffrey T. Neugebauer
Existence of an Antisymmetric Solution of a Boundary Value Problem with Antiperiodic Boundary Conditions, Jeffrey W. Lyons and Jeffrey T. Neugebauer
Submissions from 2014
TP_k Completion of Patterns with One Unspecified Entry, V. Akin, C. R. Johnson, and Shahla Nasserasr
Evaluation of Florida Physicians’ Knowledge and Attitudes Toward Accessing the State Prescription Drug Monitoring Program as a Prescribing Tool, Jennifer A. Gershman, Jason Gershman, Andrea D. Fass, and Ioana Popovici
The Connection between Variational Equations and Solutions of Second Order Nonlocal Integral Boundary Value Problems, Alfredo F. Janson, Bibi T. Juman, and Jeffrey W. Lyons
On a Question of Pollák and Volkov Regarding Hereditarily Finitely Based Identities, Edmond W. H. Lee
On Certain Cross Varieties of Aperiodic Monoids with Commuting Idempotents, Edmond W. H. Lee
The Smallest Monoid that Generates a Non-Cross Variety, Edmond W. H. Lee and Wen Ting Zhang
Disconjugacy, Differences, and Differentiation for Solutions of Nonlocal Boundary Value Problems for nth Order Difference Equations, Jeffrey W. Lyons
On Differentiation of Solutions of Boundary Value Problems for Second Order Dynamic Equations on a Time Scale, Jeffrey W. Lyons
Existence of a Positive Solution for a Right Focal Dynamic Boundary Value Problem, Jeffrey W. Lyons and Jeffrey T. Neugebauer
Complete Solution to the TP2 Completion Problem, Shahla Nasserasr and Charles R. Johnson
Inequalities of Generalized Matrix Functions via Tensor Products, Vehbi Emrah Paksoy, Ramazan Turkmen, and Fuzhen Zhang
Submissions from 2013
Minimum Number of Distinct Eigenvalues of Graphs, Bahman Ahmadi, Fatehmeh Alinaghipour, Michael S. Cavers, Shaun Fallat, Karen Meagher, and Shahla Nasserasr
On the Null Space Structure Associated with Trees and Cycles, Shaun M. Fallat and Shahla Nasserasr
Almost Cross Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee
Finite Basis Problem for Semigroups of Order Five or Less: Generalization and Revisitation, Edmond W. H. Lee
Finite Basis Problem for the Direct Product of Some J-Trivial Monoid with Groups of Finite Exponent, Edmond W. H. Lee
Finitely Based Monoids Obtained From Non-Finitely Based Semigroups, Edmond W. H. Lee
An Analytic Approach To a Permanent Conjecture, Fuzhen Zhang
Integral Majorization Polytopes, Fuzhen Zhang and Geir Dahl
Chaos Analysis and Control for a Class of SIR Epidemic Model with Seasonal Fluctuation, Yi Zhang, Qingling L. Zhang, Fuzhen Zhang, and Fenglan Bai
Submissions from 2012
The Minimum Rank of Universal Adjacency Matrices, B. Ahmadi, F. Alinaghipour, Shaun M. Fallat, Yi-Zheng Fan, K. Meagher, and Shahla Nasserasr
Various Disconnectivities of Spaces and Projectabilities of L-Groups, Ricardo Enrique Carrera
Totally Positive Shapes and TPk-completable Patterns, D. Hoff, C. R. Johnson, and Shahla Nasserasr
A Generalization of the Complex Autonne-Takagi Factorization To Quaternion Matrices, Roger A. Horn and Fuzhen Zhang
A Sufficient Condition for the Non-Finite Basis Property of Semigroups, Edmond W. H. Lee
Maximal Specht Varieties of Monoids, Edmond W. H. Lee
Varieties Generated by 2-testable Monoids, Edmond W. H. Lee
Minimal Non-finitely Based Semigroups, Edmond W. H. Lee, Jian Rong Li, and Wen Ting Zhang
Co-Adventurers in Discovery: Collaborative Research Between Undergraduate Students and Faculty, Rajeswari Murugan and Evan Haskell
Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation, Iuliana Stanculescu, R. Ingram, N Mays, and C. C. Manica
Some Inequalities of Majorization Type, Ramazan Turkman, Vehbi Emrah Paksoy, and Fuzhen Zhang
Positivity of Matrices with Generalized Matrix Functions, Fuzhen Zhang
Submissions from 2011
Existence of a Positive Solution for a Right Focal Discrete Boundary Value Problem, D. R. Anderson, R. I. Avery, J. Henderson, X. Liu, and Jeffrey W. Lyons
Functorial Polar Functions, Ricardo Enrique Carrera
On Hull Classes of l-groups and Covering Classes of Spaces, Ricardo Enrique Carrera and Anthony W. Hager
On the Eigenvalues of Quaternion Matrices, F. O. Farid, Qing-Wen Wang, and Fuzhen Zhang
The Regular Topology on C(X), Wolf Iberkleid, Ramiro Lafuente-Rodriguez, and Warren William McGovern
Conrad Frames, Wolf Iberkleid, Jorge Martinez, and Warren William McGovern
Cross Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee
Finite Basis Problem for 2-Testable Monoids, Edmond W. H. Lee
Minimal Non-finitely Based Monoids, Edmond W. H. Lee and Jian Rong Li
Limit Varieties Generated by Completely 0-Simple Semigroups, Edmond W. H. Lee and Mikhail V. Volkov
Differentiation of Solutions of Nonlocal Boundary Value Problems with Respect to Boundary Data, Jeffrey W. Lyons
Theory of the NS-omega Model, Iuliana Stanculescu, William Layton, and Catalin Trenchea
On the Unitary Diagonalisation of a Special Class of Quaternion Matrices, Clive Cheong Took, Danilo P. Mandic, and Fuzhen Zhang
Contractive Matrices of Hua Type, Guanghui Xu, Changqing Xu, and Fuzhen Zhang
Submissions from 2010
Small Semigroups Generating Varieties with Continuum Many Subvarieties, Charles C. Edmunds, Edmond W. H. Lee, and Ken W.K. Lee
Right Focal Boundary Value Problems for Difference Equations, Johnny Henderson, Xueyan Liu, Jeffrey W. Lyons, and Jeffrey T. Neugebauer
A Natural Equivalence for the Category of Coherent Frames, Wolf Iberkleid and Warren William McGovern
TP2=Bruhat, Charles R. Johnson and Shahla Nasserasr
Combinatorial Rees–Sushkevich Varieties That Are Cross, Finitely Generated, Or Small, Edmond W. H. Lee
On a Semigroup Variety of György Pollák, Edmond W. H. Lee
Criteria and Schur Complements of H-matrices, Jianzhou Liu and Fuzhen Zhang
Numerical Analysis of Leray-Tikhonov Deconvolution Models of Fluid Motion, Iuliana Stanculescu and Carolina C. Manica
Robustness Analysis of Descriptor Systems with Parameter Uncertainties, Chunyu Yang, Qingling Zhang, Fuzhen Zhang, and Zheng Zhou
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices, Fuzhen Zhang and Roger A. Horn
Submissions from 2009
A Generalization of the Jaffard-Ohm-Kaplansky Theorem, Wolf Iberkleid and Warren William McGovern
Classes of Commutative Clean Rings, Wolf Iberkleid and Warren William McGovern
Finitely Generated Limit Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee
Hereditarily Finitely Based Monoids of Extensive Transformations, Edmond W. H. Lee
Lyndon's Groupoid Generates a Small Almost Cross Variety, Edmond W. H. Lee
Characterization of Partial Derivatives with Respect to Boundary Conditions for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations, Jeffrey W. Lyons and Johnny Henderson
Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for Second Order Difference Equations, Jeffrey W. Lyons, E. Kim, B. Hopkins, and K. Speer
Chebyshev Optimized Approximate Deconvolution Models of Turbulence, Iuliana Stanculescu and William Layton
Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices, Changqing Xu, Zhaodi Xu, and Fuzhen Zhang
Submissions from 2008
The Tensor Product of Frames, Abdelkrim Bourouihiya
Dual-Mixed Approximation Method for a Three-Field Model of a Nonlinear Generalized Stokes Problem, Vincent J. Ervin, Jason S. Howell, and Iuliana Stanculescu
On Taylor’s Formula for the Resolvent of a Complex Matrix, Matthew He and Paolo E. Ricci
Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations, Johnny Henderson, Britney Hopkins, Eugenie Kim, and Jeffrey W. Lyons
Some Conditions Related to the Exactness of Rees–Sushkevich Varieties, S. I. Kublanovsky, Edmond W. H. Lee, and Norman R. Reilly