Department of Mathematical Sciences | Department of Mathematical Sciences | Michigan Technological University
 
Explore a selection of works produced by faculty in the Department of Mathematical Sciences at Michigan Technological University.

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Works from 2011

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Positive-Part Moments via the Fourier-Laplace Transform, Iosif Pinelis

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A test of Hardy-Weinberg equilibrium in structured populations, Qiuying Sha and Shuanglin Zhang

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An improved score test for genetic association studies, Qiuying Sha, Zhaogong Zhang, and Shuanglin Zhang

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Direct current insulator-based dielectrophoretic characterization of erythrocytes: ABO-Rh human blood typing, Soumya K. Srivastava, Andreas Artemiou, and Adrienne Minerick

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Finite geometry designs, codes, and Hamada's conjecture, Vladimir Tonchev

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The KOH terms and classes of unimodal N-modular diagrams, Fabrizio Zanello

Submissions from 2010

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Mutually disjoint designs and new 5‐designs derived from groups and codes, Makoto Araya, Masaaki Harada, Vladimir Tonchev, and Alfred Wassermann

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New semifields, PN and APN functions, Jürgen Bierbrauer

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A geometric non-existence proof of an extremal additive code, Jürgen Bierbrauer, Stefano Marcugini, and Fernanda Pambianco

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Some algebraic consequences of Green’s hyperplane restriction theorems, Mats Boij and Fabrizio Zanello

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Exponential bounds on the number of designs with affine parameters, David C. Clark, Dieter Jungnickel, and Vladimir Tonchev

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Entanglement-assisted quantum low-density parity-check codes, Yuichiro Fujiwara, David C. Clark, Peter Vandendriessche, Maarten De Boeck, and Vladimir Tonchev

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Finite-dimensional linear algebra, Mark Gockenbach

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Partial differential equations: Analytical and numerical methods, Second edition, Mark Gockenbach

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Classification of generalized Hadamard matrices H(6,3) and quaternary Hermitian self-dual codes of length 18, Masaaki Harada, Clement Lam, Akihiro Munemasa, and Vladimir Tonchev

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The number of designs with geometric parameters grows exponentially, Dieter Jungnickel and Vladimir Tonchev

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Monomial complete intersections, the weak Lefschetz property and plane partitions, Jizhou Li and Fabrizio Zanello

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Monomial complete intersections, the weak Lefschetz property and plane partitions, Jizhou Li and Fabrizio Zanello

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Hamilton decompositions of balanced complete multipartite graphs with primitive leaves, Sibel Ozkan and C. A. Rodger

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Elastic stability of columns on partial elastic foundations under subtangential loading, Allan Struthers and Gopal Jayaraman

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Simplicial complexes and Macaulay’s inverse systems, Adam Van Tuyl and Fabrizio Zanello

Works from 2009

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A family of crooked functions, Jürgen Bierbrauer

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New Commutative Semifields and Their Nuclei, Jürgen Bierbrauer

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On orthogonal generalized equitable rectangles, H. Cao, J. Dinitz, D. L. Kreher, D. R. Stinson, and R. Wei

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Newton’s law of heating and the heat equation, Mark Gockenbach and Kristin Schmidtke

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Polarities, quasi-symmetric designs, and Hamada's conjecture, Dieter Jungnickel and Vladimir Tonchev

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Quasi-Lagrangian acceleration of Eeulerian methods, Igor Kliakhandler and Alexander Kurganov

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Improved simulation of transient engine operations at unsteady speed combining 1-D and 3-D modeling, Jan Macek, Oldřich Vítek, Vít Doleček, Seshasai Srinivasan, and Franz X. Tanner

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Grizzly bears (Ursus arctos horribilis) and black bears (Ursus americanus) prevent trabecular bone loss during disuse (hibernation), Meghan E. McGee-Lawrence, Samantha J. Wojda, Lindsay N. Barlow, Thomas David Drummer, Alesha B. Castillo, Oran Kennedy, Keith W. Condon, Janene Auger, Hal L. Black, O. Lynne Nelson, Charles T. Robbins, and Seth W. Donahue

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Six Months of Disuse during Hibernation does not Increase Intracortical Porosity or Decrease Cortical Bone Geometry, Strength, or Mineralization in Black Bear (Ursus americanus) Femurs, Meghan E. McGee-Lawrence, Samantha J. Wojda, Lindsay N. Barlow, Thomas D. Drummer, Kevin Bunnell, Janene Auger, Hal L. Black, and Seth W. Donahue

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Bounds and asymptotic minimal growth for Gorenstein Hilbert functions, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

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The twisted Grassmann graph is the block graph of a design, Akihiro Munemasa and Vladimir Tonchev

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Combinatorial designs and code synchronization, Vladimir Tonchev

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Generalized weighing matrices and self-orthogonal codes, Vladimir Tonchev

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An algorithm for optimal comma free codes with isomorphism rejection, Hao Wang and Vladimir Tonchev

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A new association test to test multiple-marker association, Xuexia Wang, Shuanglin Zhang, and Qiuying Sha

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6-regular Cayley graphs on abelian groups of odd order are hamiltonian decomposable, Erik E. Westlund, Jiuqiang Liu, and Donald L. Kreher

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Interval conjectures for level Hilbert functions, Fabrizio Zanello

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Forcing the strong Lefschetz and the maximal rank properties, Fabrizio Zanello and Jeffery Zylinski

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Multiscale agent-based cancer modeling, Le Zhang, Zhihui Wang, Jonathan A. Sagotsky, and Thomas S. Deisboeck

Works from 2008

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Blocker sets, orthogonal arrays and their application to combination locks, Alphonse Baartmans and Sharad Sane

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Constructing good covering codes for applications in steganography, Jürgen Bierbrauer and Jessica Fridrich

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Crooked binomials, Jürgen Bierbrauer and Gohar M. Kyureghyan

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Experimental and numerical analysis of droplet deformation in a complex flow generated by a rotor-stator device, Runi Ditlev Egholm, Peter Fischer, Kathleen Feigl, Erich J. Windhab, Robert Kipka, and Peter Szabo

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Numerical analysis of elliptic inverse problems with interior data, Mark Gockenbach

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Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters, Mark Gockenbach, Baasansuren Jadamba, and Akhtar A. Khan

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An abstract framework for elliptic inverse problems: Part 2. An augmented Lagrangian approach, Mark Gockenbach and Akhtar A. Khan

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A system iterative method for solving first-kind, degraded identity operator equations, J. Hilgers, B. Bertram, and W. Reynolds

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1-D modeling of transient engine operations using data generated by a CFD code, Jan MacEk, Oldřich Vítek, Seshasai Srinivasan, and Franz X. Tanner

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On affine designs and Hadamard designs with line spreads☆, V. C. Mavron, T. P. McDonough, and Vladimir Tonchev

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A characterization of Gorenstein Hilbert functions in codimension four with small initial degree, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

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An improved multiplicity conjecture for codimension 3 Gorenstein algebras, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

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On the degree two entry of a Gorenstein h-vector and a conjecture of Stanley, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

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The strength of the weak Lefschetz property, Juan Migliore and Fabrizio Zanello

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Difference systems of sets and cyclotomy, Yukiyasu Mutoh and Vladimir Tonchev

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l'Hospital-type rules for monotonicity: Discrete case, Iosif Pinelis

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Cyclic quasi-symmetric designs and self-orthogonal codes of length 63☆, Chekad Sarami and Vladimir Tonchev

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Optimization of an asynchronous fuel injection system in diesel engines by means of a micro-genetic algorithm and an adaptive gradient method, Franz X. Tanner and Seshasai Srinivasan

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On affine designs and GMW difference sets, Vladimir Tonchev

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Quantum codes from caps, Vladimir Tonchev

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Steiner systems for two-stage disjunctive testing, Vladimir Tonchev

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An ensemble learning approach jointly modeling main and interaction effects in genetic association studies, Zhaogong Zhang, Man Yu Wong, Nicholas J. Wareham, and Qiuying Sha

Works from 2007

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A direct approach to linear programming bounds for codes and tms-nets, Jürgen Bierbrauer

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Cyclic additive and quantum stabilizer codes, Jürgen Bierbrauer

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Nordstrom-Robinson code and A7-geometry, Jürgen Bierbrauer

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Simulation and Experiments of Droplet Deformation and Orientation in Simple Shear Flow with Surfactants, Kathleen Feigl, David Megias-Alguacil, Peter Fischer, and Erich J. Windhab

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The output least-squares approach to estimating Lamé moduli, Mark Gockenbach

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An abstract framework for elliptic inverse problems: Part 1. An output least-squares approach, Mark Gockenbach and Akhtar A. Khan

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On conflict-avoiding codes of length n=4m for the active users, Masakazu Jimbo, Miwako Mishima, Susan Janiszewski, Amin Teymorian, and Vladimir Tonchev

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Transverse quadruple systems with five holes, M. S. Keranen and D. L. Kreher

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Modeling phosphorus flux in the sediments of Onondaga Lake: Insights on the timing of lake response and recovery, Gilbert N. Lewis, Martin T. Auer, Xinyu Xiang, and Michael R. Penn

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Multiple testing in the genomics era: Findings from genetic analysis workshop 15, Group 15, Lisa J. Martin, Jessica G. Woo, Christy L. Avery, Huann Sheng Chen, and Kari E. North

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A characterization of the convexity of cyclic polygons in terms of the central angles, Iosif Pinelis

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Exact inequalities for sums of asymmetric random variables, with applications, Iosif Pinelis

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A new association test using haplotype similarity, Qiuying Sha, Huann Sheng Chen, and Shuanglin Zhang

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Computational optimization of a split injection system with EGR and boost pressure/compression ratio variations in a diesel engine, Seshasai Srinivasan, Jan MacEk, Milos Polacek, and Franz X. Tanner

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Global optimization of a two-pulse fuel injection strategy for a diesel engine using interpolation and a gradient-based method, Franz X. Tanner and Seshasai Srinivasan

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An algorithm for optimal difference systems of sets, Vladimir Tonchev and Hao Wang

Works from 2006

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On isomorphic factorizations of circulant graphs, Brian Alspach, Danny Dyer, and Donald L. Kreher

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A characterization of projective subspaces of codimension two as quasi-symmetric designs with good blocks, Alphonse Baartmans and Sharad Sane

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The smallest size of a complete cap in PG (3, 7), Jürgen Bierbrauer, Stefano Marcugini, and Fernanda Pambianco

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Development and evaluation of a micro-macro algorithm for the simulation of polymer flow, Kathleen Feigl and Franz X. Tanner

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Hyperplane partitions and difference systems of sets☆, Ryoh Fuji-Hara, Akihiro Munemasa, and Vladimir Tonchev

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Understanding and implementing the finite element method, Mark Gockenbach

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First and second order optimality conditions in set optimization, V. Kalashnikov, B. Jadamba, and A. A. Khan

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Experiences in using spatial skills testing instruments with younger audiences, Sheryl Sorby, Thomas David Drummer, and Raymond E. Molzon

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Computational optimization of split injections and EGR in a diesel engine using an adaptive gradient-based algorithm, Seshasai Srinivasan, Franz X. Tanner, Jan MacEk, and Milos Polacek

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Gradient-based optimization of a multi-orifice asynchronous injection system in a diesel engine using an adaptive cost function, Franz X. Tanner and Seshasai Srinivasan

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A Class of 2-(3n7, 3n−1 7, (3n−1 7−1)/2) Designs, Vladimir Tonchev

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Optimal difference systems of sets with multipliers, Vladimir Tonchev and Hao Wang

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A classical likelihood based approach for admixture mapping using EM algorithm, Xiaofeng Zhu, Shuanglin Zhang, Hua Tang, and Richard Cooper

Works from 2005

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A family of binary (t, m,s)-nets of strength 5, Jürgen Bierbrauer and Yves Edel

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Incorporation of a high performance, four-cylinder, four-stroke motorcycle engine into a snowmobile application, Gregory A. Davis, Nick S. Dahlheimer, David A. Meyer, Aaron S. Messenger, James R. Johnson, and Bernhard P. Bettig

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Identification of Lamé parameters in linear elasticity: a fixed point approach, Mark Gockenbach and Akhtar A. Khan

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Symmetric (4,4)-Nets and Generalized Hadamard Matrices Over Groups of Order 4, Masaaki Harada, Clement Lam, and Vladimir Tonchev

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A characterization of designs related to an extremal doubly-even self-dual code of length 48, Masaaki Harada, Akihiro Munemasa, and Vladimir Tonchev

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The Tensile Strength of Black Bear (Ursus americanus) Cortical Bone is not Compromised with Aging Despite Annual Periods of Hibernation, Kristin B. Harvey, Thomas D. Drummer, and Seth W. Donahue

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A third logarithmic functional equation and Pexider generalizations, Konrad J. Heuvers and Palaniappan Kannappan

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Divergence and flutter instability of elastic specially orthotropic plates subject to follower forces, Gopal Jayaraman and Allan Struthers

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Droplet deformation under simple shear investigated by experiment, numerical simulation and modeling, David Megias-Alguacil, K. A. Feigl, M. Dressler, P. Fischer, and E. J. Windhab