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

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Submissions from 1999

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C++ classes for linking optimization with complex simulations, Mark Gockenbach, Matthew J. Petro, and William W. Symes

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Random Sidon Sequences, Anant P. Godbole, Svante Janson, Nicholas W. Locantore, and Rebecca Rapoport

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Another logarithmic functional equation, Konrad J. Heuvers

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Decompositions of difference sets☆, Dieter Jungnickel and Vladimir Tonchev

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Perfect Codes and Balanced Generalized Weighing Matrices☆, Dieter Jungnickel and Vladimir Tonchev

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Linear perfect codes and a characterization of the classical designs, Vladimir Tonchev

Works from 1998

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On Mathieu's Inequality, Horst Alzer, J. L. Brenner, and O. G. Ruehr

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Weak k-majorization and polyhedra, Geir Dahl and François Margot

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Quasi‐symmetric 2‐(28, 12, 11) designs with an automorphism of order 7, Yuan Ding, Sheridan Houghten, Clement Lam, Suzan Smith, Larry Thiel, and Vladimir Tonchev

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Modelling air temperature gradients across managed small streams in western Washington, J. Dong, J. Chen, K. D. Brosofske, and R. J. Naiman

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Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems, Anant P. Godbole, Laura K. Potter, and Jessica K. Sklar

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New Designs with Block Size 7, Zvonimir Janko and Vladimir Tonchev

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Characterizing the Hermitian and Ree unitals on 28 points, Gary McGuire, Vladimir Tonchev, and Harold Ward

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Maximum disjoint bases and constant-weight codes, Vladimir Tonchev

Works from 1997

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A family of 2-weight codes related to BCH-codes, Jürgen Bierbrauer and Yves Edel

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Extending and lengthening BCH codes, Jürgen Bierbrauer and Yves Edel

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Embedding partial geometries in Steiner designs, Andries Brouwer, Willem Haemers, and Vladimir Tonchev

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Twisted BCH-codes, Yves Edel and Jürgen Bierbrauer

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A Class of Extremal Functions and Trigonometric Polynomials, Jeffrey J. Holt

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Computational results for the known biplanes of order 9, J. D. Key and Vladimir Tonchev

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On steiner 3-wise balanced designs of order 17, E. S. Kramer, D. L. Kreher, and Rudolf Mathon

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Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs, Vladimir Tonchev

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Steiner triple systems of order 15 and their codes, Vladimir Tonchev and Robert Weishaar

Works from 1996

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Second order evolution equations with dynamic boundary conditions, Kevin T. Andrews, K. L. Kuttler, and M. Shillor

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On the binary codes of Steiner triple systems, Alphonse Baartmans, Ivan Landjev, and Vladimir Tonchev

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Automorphism Groups of Tree Actions and of Graphs of Groups, Hyman Bass and Renfang Jiang

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Bounding Elastic Constants of an Orthotropic Polycrystal using Measurements of the Microstructure, M. J. Beran, T. A. Mason, B. L. Adams, and T. Olsen

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Concerning difference matrices, Charles J. Colbourn and Donald L. Kreher

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Random covering designs, Anant P. Godbole and Svante Janson

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Spreads in strongly regular graphs, Willem Haemers and Vladimir Tonchev

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On a form of the Erdos-Turán inequality, Jeffrey J. Holt

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A family of resolvable regular graph designs, Donald L. Kreher, Gordon F. Royle, and W. D. Wallis

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Classification of affine resolvable 2-(27, 9, 4) designs, Clement Lam and Vladimir Tonchev

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On the minimal number of even submatrices of 0-1 matrices, Iosif Pinelis

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Bounded automorphisms of surfaces, Jiang Renfang

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A class of Steiner 4‐wise balanced designs derived from preparata codes, Vladimir Tonchev

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The uniformly packed binary [27,21,3] and [35,29,3] codes☆, Vladimir Tonchev

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The existence of certain extremal [54,27,10] self-dual codes, Vladimir Tonchev and V. Y. Yorgov

Works from 1995

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A2-codes from universal hash classes, Jürgen Bierbrauer

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Bounds on orthogonal arrays and resilient functions, Jürgen Bierbrauer

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Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5, C. A. Cusack, S. W. Graham, and D. L. Kreher

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Singly-even self-dual codes and Hadamard matrices, Masaaki Harada and Vladimir Tonchev

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The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designs, W. Cary Huffman and Vladimir Tonchev

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On quasi-symmetric 2-(28,12,11) and 2-(36,16,12) designs, Clement Lam, Larry Thiel, and Vladimir Tonchev

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Linear codes and doubly transitive symmetric designs, Christopher Parker and Vladimir Tonchev

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Smoothed particle hydrodynamics stability analysis, J. W. Swegle, D. L. Hicks, and S. W. Attaway

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The bigraphical t‐wise balanced designs of index two, Lisa M. Weiss and Donald L. Kreher

Submissions from 1994

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The preparata codes and a class of 4‐designs, Alphonse Baartmans, Iliya Bluskov, and Vladimir Tonchev

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Cauchy-Difference Conservative Vector Fields for Dimension Two and Three, K. J. Heuvers

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The bigraphical t‐wise balanced designs of index 1, Dean G. Hoffman and Donald L. Kreher

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Linear solvation energy relationship of the solubility of very polar gases: Sulfur dioxide, hydrogen chloride, hydrogen bromide, and ammonia, Dean C. Luehrs and Kalpana A. Godbole

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An inversion relation of multinomial type, Daniel Moak, Konrad Heuvers, K. P.S. Bhaskara Rao, and Karen Collins

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Designs with the symmetric difference property on 64 points and their groups, Christopher Parker, Edward Spence, and Vladimir Tonchev

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Asymptotics for multivariate t-statistic and hotelling′s T < sup> 2 -statistic under infinite second moments via bootstrapping, Steven J. Sepanski

Submissions from 1993

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On the extendability of steiner t‐designs, Alphonse Baartmans, Ian Blake, and Vladimir Tonchev

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Moments of gaps between k-free numbers, S. W. Graham

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A design and a code invariant under the simple group Co3, Willem Haemers, Christopher Parker, Vera Pless, and Vladimir Tonchev

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An infinite family of (simple) 6‐designs, Donald L. Kreher

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A symmetric 2‐(160, 54, 18) design, Edward Spence, Vladimir Tonchev, and Tran van Trung

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Quasi-symmetric designs, codes, quadrics, and hyperplane sections, Vladimir Tonchev

Submissions from 1992

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Concerning multiplier automorphisms of cyclic Steiner triple systems, Charles Colbourn, Eric Mendelsohn, Cheryl Praeger, and Vladimir Tonchev

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Correlation of the Eluting Strengths of Solvents in Adsorption Chromatography with Solvatochromic Parameters, Dean C. Luehrs, David J. Chesney, and Kalpana A. Godbole

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Extremal self-dual codes from symmetric designs, Edward Spence and Vladimir Tonchev

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Some small non-embeddable designs, Vladimir Tonchev

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On Kirkman triple systems of order 33, Vladimir Tonchev and Scott Vanstone

Works from 1991

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On Cauchy differences of all orders, B. R. Ebanks, K. J. Heuvers, and C. T. Ng

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An approximation method for eigenvectors of very large matrices, D. J. Groh, R. A. Marshall, A. B. Kunz, and C. R. Givens

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Finite rise time step strain modeling of nearly monodisperse polymer melts and solutions, R. W. Kolkka, D. S. Malkus, and T. R. Rose

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A gradient flow theory of plasticity for granular materials, I. Vardoulakis and E. C. Aifantis

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Implicit Spectral Methods for Wave Propagation Problems, Stephen B. Wineberg, Joseph F. McGrath, Edward F. Gabl, L. Ridgway Scott, and Charles E. Southwell

Works from 1990

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A characterization of Cauchy kernels, K. J. Heuvers

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The Binet-Cauchy Functional Equation and Nonsingular Multiindexed Matrices, Konrad J. Heuvers and Daniel S. Moak

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A note on the paper "On the Thermodynamic Theory of Fluid Interfaces: Infinite Intervals, Equilibrium Solutions, and Minimizers", K. Kuttler and Elias C. Aifantis

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Correlation of the gibbs free energy of transfer of fluoride ion from water to other solvents with solvent actidity and polarity parameters, Dean C. Luehrs and Kalpana A. Godbole

Works from 1989

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Linear free energy relationship of the energy of the CTTS transition of Halide ions with the solvatochromic parameter α, Dean C. Luehrs, Richard E. Brown, and Kalpana A. Godbole

Works from 1988

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A Characterization of the Permanent Function by the Binet-Cauchy Theorem, Konrad J. Heuvers, L. J. Cummings, and K. P.S. Bhaskara Rao

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Sums of weight vectors and sums of semilinear functions, Konrad J. Heuvers and William C. Waterhouse

Works from 1987

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Composite n-forms and Cauchy kernels, Pal Fischer and Konrad J. Heuvers

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Matrix solutions of the functional equation of the gamma function, Konrad J. Heuvers and Daniel Moak

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A Variational Approach for the Deflections and Stability Behavior of Postbuckled Elastic-plastic Slender Struts, Gilbert Lewis, Petrisor Mazilu, and Frank Monasa

Works from 1986

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On extreme points of families of analytic functions with values in a convex set, Julian Gevirtz

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Norm Oscillatory Weight Measures, J. L. Ullman, M. F. Wyneken, and L. Ziegler

Works from 1985

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The Existence of Optimal Consumption Policies in Optimal Economic Growth Models with Nonconvex Technologies, R. E. Gaines and J. K. Peterson

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A family of symmetric biadditive nonbilinear functions, Konrad D. Heuvers

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The Galerkin Method and Degenerate Evolution Equations, Kenneth L. Kuttler

Works from 1984

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The program dependence graph and its use in optimization, Jeanne Ferrante, Karl J. Ottenstein, and Joe D. Warren

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Some Observations on Eigenvectors of Hadamard Matrices of order 2n, Clark R. Givens

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Theoretical estimates of the westward drift, Glenn R. Ierley

Works from 1983

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Large deflections of point loaded cantilevers with nonlinear behaviour, Frank Monasa and Gilbert Lewis

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Combinatorial methods in the study of marginal problems over separable spaces, R. M. Shortt

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Strassen's marginal problem in two or more dimensions, R. M. Shortt

Works from 1982

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On the Modified Leverrier-Faddeev Algorithm, Clark R. Givens

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A Theory for Optimal Regularization in the Finite Dimensional Case, John W. Hilgers

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Large Deflections of Cantilever Beams of Non-linear Materials of the Ludwick Type Subjected to an End Moment, Gilbert Lewis and Frank Monasa

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Post-buckling Dynamic Behavior of Periodically Supported Imperfect Shells, Deborah Frank Lockhart

Works from 1981

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Functional equations which characterize n-forms and homogeneous functions of degree n, Konrad J. Heuvers

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Expected Complexity of Fast Search with Uniformly Distributed Data, Gilbert N. Lewis, Nancy J. Boynton, and F. Warren Burton

Works from 1980

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A Robust Variation of Interpolation Search, F. Warren Burton and Gilbert N. Lewis

Works from 1978

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Comments on: Sorting by Distributive Partitioning, Warren Burton

Works from 1975

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Products of Symmetric Forms, Michael Gilpin