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

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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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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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Cyclic polygons with given edge lengths: Existence and uniqueness, Iosif Pinelis

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Iterative solution of a singular convection-diffusion perturbation problem, Shirley Pomeranz, Gilbert Lewis, and Christian Constanda

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Identifying scales of pattern in ecological data: A comparison of lacunarity, spectral and wavelet analyses, Sari C. Saunders, Jiquan Chen, Thomas David Drummer, Eric J. Gustafson, and Kimberley D. Brosofske

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Haplotype sharing transmission/disequilibrium tests that allow for genotyping errors, Qiuying Sha, Jianping Dong, Renfang Jiang, Huann Sheng Chen, and Shuanglin Zhang

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Mass coupling by means of lagrange polynomials in the cfd simulation of high-velocity dense sprays, Krista Stalsberg-Zarling, Kathleen Feigl, Franz X. Tanner, and Martti Larmi

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Optimization of fuel injection configurations for the reduction of emissions and fuel consumption in a diesel engine using a conjugate gradient method, Franz X. Tanner and Seshasai Srinivasan

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Affine designs and linear orthogonal arrays☆, Vladimir Tonchev

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Partitions of difference sets and code synchronization, Vladimir Tonchev

Works from 2004

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Tight incomplete block designs, Izabela Adamczak, Donald L. Kreher, and Rolf S. Rees

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An infinite class of fibres in CURDs with block sizes two and three, Melissa S. Keranen, Rolf S. Rees, and Alan C.H. Ling

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3-designs of PSL(2,2 < sup> n ) with block sizes 4 and 5, M. S. Keranen and D. L. Kreher

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A new quasi-symmetric 2-(56,16,6) design obtained from codes, Akihiro Munemasa and Vladimir Tonchev

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Momentum coupling by means of lagrange polynomials in the CFD simulation of high-velocity dense sprays, Krista Stalsberg-Zarling, Kathleen Feigl, Franz X. Tanner, and Martti Larmi

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On generalized Hadamard matrices of minimum rank, Vladimir Tonchev

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Model equations for the Eiffel Tower profile: Historical perspective and new results, Patrick Weidman and Iosif Pinelis

Submissions from 2003

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Unitals and codes, Anton Betten, Dieter Betten, and Vladimir Tonchev

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Large caps, Jürgen Bierbrauer

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Adaptive simulation, the adjoint state method, and optimization, Mark Gockenbach and William W. Symes

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Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms, Masaaki Harada and Vladimir Tonchev

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Quadruple systems of the projective special linear group PSL(2,q), q = 1 (mod 4), M. S. Keranen, D. L. Kreher, and P. J.S. Shiue

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Hyperovals in Steiner systems, Alan C.H. Ling

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A discrete mass transportation problem for infinitely many sites, and general representant systems for infinite families, Iosif Pinelis

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A cascade atomization and drop breakup model for the simulation of high-pressure liquid jets, Franz X. Tanner

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A formula for the number of Steiner quadruple systems on 2n points of 2‐rank 2n−n, Vladimir Tonchev

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A note on MDS codes, n-Arcs and complete designs, Vladimir Tonchev

Works from 2002

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Further results on the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size, I. Adamczak, D. L. Kreher, A. C.H. Ling, and R. S. Rees

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Direct constructions of additive codes, Jürgen Bierbrauer

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Bounds on milne caps, Jürgen Bierbrauer and Yves Edel

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Coding-theoretic constructions for (t,m,s)-nets and ordered orthogonal arrays, Jürgen Bierbrauer, Yves Edel, and Wolfgang Ch Schmid

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On the state of strength-three covering arrays, M. Chateauneuf and D. L. Kreher

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Uniform group divisible designs with block sizes three and n, Yeow Meng Chee and Alan C.H. Ling

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A variational method for recovering planar Lamé moduli, Jun Chen and Mark Gockenbach

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Efficient and automatic implementation of the adjoint state method, Mark Gockenbach, Daniel Reynolds, Peng Shen, and William W. Symes

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Automatic differentiation and the adjoint state method, Mark Gockenbach, Daniel Reynolds, and William W. Symes

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Perfect codes and balanced generalized weighing matrices, II☆, Dieter Jungnickel and Vladimir Tonchev

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On a class of twin balanced incomplete block designs, Hadi Kharaghani and Vladimir Tonchev

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A new bound on the number of designs with classical affine parameters, Clement Lam and Vladimir Tonchev

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Simulation of non-evaporating diesel sprays and verification with experimental data, Martti Larmi, Pekka Rantanen, Jukka Tiainen, Jukka Kiijärvi, Franz X. Tanner, and Krista Stalsberg-Zarling

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Multilinear direct and reverse Stolarsky inequalities, Iosif Pinelis

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Spherically symmetric functions with a convex second derivative and applications to extremal probabilistic problems, Iosif Pinelis

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A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes, Vladimir Tonchev

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Error-correcting codes from graphs, Vladimir Tonchev

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Linear codes and the existence of a reversible Hadamard difference set inZ2×Z2×Z45☆, M. van Eupen and Vladimir Tonchev