Mathematics Faculty Articles

Mathematics Faculty Articles

 

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Submissions from 2011

The Regular Topology on C(X), Wolf Iberkleid, Ramiro Lafuente-Rodriguez, and Warren William McGovern

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Conrad Frames, Wolf Iberkleid, Jorge Martinez, and Warren William McGovern

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GM-CSF Production Allows the Identification of Immunoprevalent Antigens Recognized by Human CD4+ T Cells Following Smallpox Vaccination, Valeria A. Judkowski, Alcinette Bunying, Feng Ge, Jon R. Appel, Kingyee Law, Atima Sharma, Claudia Raja-Gabaglia, Patricia Norori, Radleigh Santos, Marc Giulianotti, Mark K. Slifka, Daniel C. Douek, Barney S. Graham, and Clemencia Pinilla

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The ideal retraction property for completely regular semigroups, Edmond W.H. Lee

Cross Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee

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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

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Differentiation of Solutions of Nonlocal Boundary Value Problems with Respect to Boundary Data, Jeffrey W. Lyons

Characterization of a comprehensive flavor database, Karina Martinez-Mayorga, Terry L. Peppard, Austin B. Yongye, Radleigh Santos, Marc Giulianotti, and Jose L. Medina-Franco

Use and Implications of the Harmonic Mean Model on Mixtures for Basic Research and Drug Discovery, Radleigh Santos, Marc Giulianotti, Colette T. Dooley, Clemencia Pinilla, Jon R. Appel, and Richard A. Houghten

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

Consensus Models of Activity Landscapes with Multiple Chemical, Conformer, and Property Representations, Austin B. Yongye, Kendall Byler, Radleigh Santos, Karina Martinez-Mayorga, Gerald M. Maggiora, and Jose L. Medina-Franco

Submissions from 2010

Small Semigroups Generating Varieties with Continuum Many Subvarieties, Charles C. Edmunds, Edmond W. H. Lee, and Ken W.K. Lee

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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

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On a Semigroup Variety of György Pollák, Edmond W. H. Lee

Criteria and Schur Complements of H-matrices, Jianzhou Liu and Fuzhen Zhang

Structure–activity relationships of benzimidazole derivatives as antiparasitic agents: Dual activity-difference (DAD) maps, Jaime Perez-Villanueva, Radleigh Santos, Alicia Hernandez-Campos, Marc Giulianotti, Rafael Castillo, and Jose L. Medina-Franco

Towards a systematic characterization of the antiprotozoal activity landscape of benzimidazole derivatives, Jaime Perez-Villanueva, Radleigh Santos, Alicia Hernandez-Campos, Marc Giulianotti, Rafael Castillo, and Jose L. Medina-Franco

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

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Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices, Fuzhen Zhang and Roger A. Horn

Submissions from 2009

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On the universal zero attractor of the Tribonacci-related polynomials, William Goh, Matthew X. He, and Paolo E. Ricci

A Generalization of the Jaffard-Ohm-Kaplansky Theorem, Wolf Iberkleid and Warren William McGovern

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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

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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

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Chebyshev Optimized Approximate Deconvolution Models of Turbulence, Iuliana Stanculescu and William Layton

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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

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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

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Erratum: Minimal semigroups generating varieties with complex subvariety lattices (International Journal of Algebra and Computation (2007) 17 (1553-1572)), Edmond W.H. Lee

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

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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

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Primitive Digraphs with Smallest Large Exponent, G. MacGillivray, Shahla Nasserasr, D. D. Olesky, and P. Van Den Driessche

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An Operator Equality Involving a Continuous Field of Operators and Its Norm Inequalities, Mohammad Sal Moslehian and Fuzhen Zhang

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Hua's Matrix Equality and Schur Complements, Chris Paige, George P. H. Styan, Bo-Ying Wang, and Fuzhen Zhang

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Mirror Principle for Flag Manifolds, Vehbi Emrah Paksoy

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Existence Theory of Abstract Approximate Deconvolution Models of Turbulence, Iuliana Stanculescu

Submissions from 2007

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Compatifiant Algebras and the C*-algebras of the affine group, Abdelkrim Bourouihiya, M. Akouchi, and A. Bakali

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K-41 Optimized Approximate Deconvolution Models, William Layton and Iuliana Stanculescu

Minimal Semigroups Generating Varieties with Complex Subvariety Lattices, Edmond W. H. Lee

On a Simpler Basis for the Pseudovariety EDS, Edmond W. H. Lee

On Identity Bases of Exclusion Varieties for Monoids, Edmond W. H. Lee

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On the Complete Join of Permutative Combinatorial Rees–Sushkevich Varieties, Edmond W. H. Lee

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Gersgorin Type Theorems for Quaternionic Matrices, Fuzhen Zhang

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On the Bohr Inequality of Operators, Fuzhen Zhang

Submissions from 2006

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Maximal Clifford Semigroups of Matrices, Edmond W. H. Lee

Maximal Normal Orthogroups in Rings Containing No Infinite Semilattices, Edmond W. H. Lee

Subvarieties of the Variety Generated by the Five-Element Brandt Semigroup, Edmond W. H. Lee

The Intersection of Pseudovarieties of Central Simple Semigroups, Edmond W. H. Lee and Norman R. Reilly

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On the Cohomology of Spatial Polygons in Euclidean Spaces, Vehbi Emrah Paksoy

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Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices - Application of Perturbation Theory for Simple Invariant Subspaces, Yimin Wei, Xiezhang Li, Fanbin Bu, and Fuzhen Zhang

siRNA Drug Delivery by Biodegradable Polymeric Nanoparticles, Xudong Yuan, Ling Li, Appu Rathinavelu, Jinsong Hao, Madhusudhanan Narasimhan, Matthew He, Viviene Heitlage, Linda Tam, Sana Viqar, and Mojgan Salehi

Eigenvalue Inequalities for Matrix Product, Fuzhen Zhang and Qingling Zhang

Submissions from 2005

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Eigenfunctions of Laguerre-type operators and generalized evolution problems, G. Dattoli, M. X. He, and P. E. Ricci

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Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds, Jianzhou Liu and Fuzhen Zhang

Submissions from 2004

Genetic Code, Attributive Mappings and Stochastic Matrices, Matthew He

Genetic Code, Hamming Distance and Stochastic Matrices, Matthew He, Sergei V. Petoukhov, and Paolo E. Ricci

Differential equations of some classes of special functions via the factorization method, Matthew X. He and Paolo E. Ricci

Identity Bases for Some Non-exact Varieties, Edmond W. H. Lee

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Matrix Inequalities by Means of Embedding, Tian-Gang Lei, Ching-Wah Woo, and Fuzhen Zhang

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The Schur Complements of Generalized Doubly Diagonally Dominant Matrices, Jianzhou Liu, Yunqing Huang, and Fuzhen Zhang

A Matrix Identity on the Schur Complement, Fuzhen Zhang

Submissions from 2003

On the Formation of Persistent States in Neuronal Network Models of Feature Selectivity, Evan Haskell and Paul C. Bressloff

3D Nonrigid Motion Analysis Under Small Deformations, Chandra Kambhamettu, Dmitry Goldgof, Matthew He, and Pavel Laskov

Submissions from 2002

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On Quadrature Rules Associated with Appell Polynomials, Gabriella Bretti, Matthew He, and Paolo E. Ricci

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Differential Equation of Appell Polynomials Via the Factorization Method, Matthew He and Paolo E. Ricci

Information entropy of orthogonal, Matthew He and P. E. Ricci

Fibonacci-Type Polynomials as a Trajectory of a Discrete Dynamical System, Matthew He, Davis P. Simon, and Paolo E. Ricci

Submissions from 2001

Population Density Methods for Large-Scale Modeling of Neuronal Networks with Realistic Synaptic Kinetics, Evan Haskell, D. Q. Nykamp, and D. Tranchina

Population Density Methods for Large-Scale Modelling of Neuronal Networks with Realistic Synaptic Kinetics: Cutting the Dimension Down to Size, Evan Haskell, D. Q. Nykamp, and D. Tranchina

Double Helical Sequences and Doubly Stochastic Matrices, Matthew He

Equivalence of the Wielandt Inequality and the Kantorovich Inequality, Fuzhen Zhang

Matrix Inequalities by Means of Block Matrices, Fuzhen Zhang

Jordan Canonical Form of a Partitioned Complex Matrix and Its Applications to Real Quaternion Matrices, Fuzhen Zhang and Yimin Wei

Submissions from 2000

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A Model of Balance of Payments Crisis: Monetary Independences as a Determinant of Exchange Rate Disequilibria, Ordean G. Olson and Matthew He

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On the Hadamard Product of Inverse M-matrices, Bo-Ying Wang, Xiuping Zhang, and Fuzhen Zhang

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Equivalence of a Matrix Product to the Kronecker Product, Yimin Wei and Fuzhen Zhang

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Schur Complements and Matrix Inequalities in Lowner Ordering, Fuzhen Zhang

Submissions from 1999

Sur L'analyse Spectrale des Opérateurs de Convolution du Groupe Affine de la Droite Réelle. (French. English, French summary) [Spectral Analysis of the Convolution Operators of the Affine Group of the Real Line], Abdelkrim Bourouihiya and S. Kabbaj

Relativistic Jacobi Polynomials, Matthew He and P. Natalini

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Some Inequalities for Sum and Product of Positive Semidefinite Matrices, Bo-Ying Wang, Bo-Yan Xi, and Fuzhen Zhang

Submissions from 1998

An Analogue of Hua's Determinantal Inequality, Bo-Ying Wang and Fuzhen Zhang

On Normal Matrices of Zeros and Ones with Fixed Row Sum, Bo-Ying Wang and Fuzhen Zhang

On the Precise Number of (0,1)-Matrices in u(R, S), Bo-Ying Wang and Fuzhen Zhang

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On Zero-One Symmetric and Normal Matrices, Bo-Ying Wang and Fuzhen Zhang

Submissions from 1997

The Relativistic Szego Polynomials, Matthew He, S. Noschese, and P. E. Ricci