## Mathematics Faculty Articles

#### Submissions from 2018

Arithmagons and Geometrically Invariant Multiplicative Integer Partitions, J. A. Franco, J. Champion, and J. W. Lyons

#### 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

Bounded Equivalence of Hull Classes in Archimedean Lattice-Ordered Groups with Unit, Ricardo Enrique Carrera

Pointfree Functorial Polar Functions, Ricardo Enrique Carrera

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

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 TP_{2} 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 TP_{k}-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

Combinatorial Rees–Sushkevich Varieties Are Finitely Based, Edmond W. H. Lee

On the Variety Generated by Some Monoid of Order Five, Edmond W. H. Lee

Centrality in Rees–Sushkevich Varieties, Edmond W. H. Lee and Norman R. Reilly