The Rose-Hulman Mathematical Sciences Technical Report Series is a preprint and informal technical report publication series for faculty and undergraduate student research in the Mathematics Department at Rose-Hulman. Student authored publications have a faculty adviser who is typically a senior thesis/project adviser or adviser for a summer research project such as the Rose-Hulman NSF-REU program. A student's undergraduate institution at the time of the research is recorded in the author information.

This series is not peer reviewed. The authors (with guidance from mentors) are responsible for the correctness of results and exposition of the papers.

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Submissions from 1999

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Tilings which Split a Mirror, Jim Belk

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Constructing Kaleidscopic Tiling Polygons in the Hyperbolic Plane, Sean A. Broughton

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Splitting Tiled Surfaces with Abelian Conformal Tiling Group, Sean A. Broughton

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Divisible Tilings in the Hyperbolic Plane, Sean A. Broughton, Dawn M. Haney, Lori T. McKeough, and Brandy M. Smith

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Elementary Inversion of the Laplace Transform, Kurt M. Bryan

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Automorphic Subsets of the n-dimensional Cube are Translations of Cwatsets, Matthew Lepinski

Submissions from 1998

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Stability and Reconstruction for an Inverse Problem for the Heat Equations, Kurt M. Bryan and Lester Caudill

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A Messy, but Instructive, Case Study in Design of Experiments, Leroy A. Franklin, Belva J. Cooley, and Gary Elrod

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Quadrilaterals Subdivided by Triangles in the Hyperbolic Plane, Dawn M. Haney and Lori T. McKeough

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Maximally Disjoint Solutions of the Set Covering Problem, David J. Rader and Peter L. Hammer

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Symmetry and Tiling Groups for Genus 4 and 5, C. Ryan Vinroot

Submissions from 1997

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Generalized Conjugacy Classes, Pramod N. Achar

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The Link between Scrambling Numbers and Derangements, Barry Balof, Eric Farmer, and Jamie Kawabata

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Counting Ovals on a Symmetric Riemann Surface, Sean A. Broughton

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Oval Intersections in Tilings on Surfaces, Dennis A. Schmidt

Submissions from 1996

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A Stronger Triangle Inequality, Herb Bailey

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Uniqueness for a Boundary Identification Problem in Thermal Imaging, Kurt M. Bryan and Lester F. Caudill

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Effective Behavior of Clusters of Microscopic Cracks Inside a Homogeneous Conductor, Kurt M. Bryan and Michael Vogelius

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CWATSETS: Weights, Cardinalities, and Generalizations, Richard Mohr

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Divergence Diagrams: More than Cantor Dust Lies at the Edge of Feigenbaum Diagrams, John H. Rickert and Aaron Klebanoff

Submissions from 1995

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Population Genetics: Estimation of Distributions through Systems of Non-Linear Differential Equations, Nacer E. Abrouk and Robert J. Lopez

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Symmetries of Accola-MacLachlan and Kulkarni Surfaces, Sean A. Broughton, E Bujalance, A F. Costa, J M. Gamboa, and G Gromadzki

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An Elementary Proof that Finite Groups Lack Unique Product Structures, Matthew Cushman

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Rectangular Groups, Nick Fiala, Crystal Hanscom, Patrick Keenan, and Tung Tran

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Conjugacy Classes of Triple Products in Finite Groups, Kevin Hutson and Emily Salvo

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A Variable Time-Step Midpoint Scheme for Hamiltonian Systems, Yosi Shibberu

Submissions from 1994

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Square Roots of Finite Groups, Kashi Abhyankar and Daniel Grossman

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Finite Groups can be Arbitrarily Hamiltonian, Stephen Ahearn and Mark Huber

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Counting Order Classes of Triple Products in Finite Groups, Scott Annin and Jennifer Ziebarth

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An Inverse Problem in Thermal Language, Kurt M. Bryan and Lester Caudill

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Square Roots of Finite Groups - II, Matthew Devos, David McAdams, and Rebecca Rapoport

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Robot Space Coordinate Representation of Objects in Euclidean Space, Justin Gallagher

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Distinct Products of Triples in Finite Groups, Curtis Z. Mitchell

Submissions from 1993

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Approximation Methods for Singular Diffusions Arising in Genetics, Nacer E. Abrouk

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Reconstruction of Multiple Cracks from Experimental, Electrostatic Boundary Measurements, Kurt M. Bryan, Valdis Liepa, and Michael Vogelius

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When is the Number of p-Subgroups of a Group Satisfying a Property Congruent to 1 (mod p)?, Jason Fulman and Jeff Vanderkam

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Hypergraph Representations and Orders of Cwatsets, Julie Kerr

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Time-Discretization of Hamiltonian Dynamical Systems, Yosi Shibberu

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Bounds on Squares of Two-Sets, Dan Slilaty and Jeff Vanderkam

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Tracking Plasma Lactate Concentration in Vivo with a Catheter-Tip L-Lactate Sensor, Brett T. Weinzapfel, Mark D. Ball, Lee R. Waite, Nacer E. Abrouk, and Shun P. Lim

Submissions from 1992

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Counting Nilpotent Pairs in Finite Groups: Some Conjectures, H Dubose-Schmidt; Michael D. Galloy; and D,L, Wilson

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Counting Nilpotent Pairs, Jason Fulman, Michael Galloy, and Jeffery Vanderkam

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Vertex Coloring for Weighted Graphs with Application to Timetabling, Lynn Kiaer and Jay Yellen

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Data on Four-Rewriteability in Finite Groups, Sharon A. Kineke

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Some Facts About Cycels and Tidy Groups, Kevin O'Bryant, D. Patrick, Lawren Smithline, and Eric Wepsic

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Some Upper Bounds for Commutativity and Cyclicity Measures in Finite Groups, David Patrick, Catherine Sugar, and Eric Wepsic

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Simultaneous Rational Approximations and Related Diophantine Equations, John Rickert

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Rewriteability, Commutators, and Fundamental n-Rewritings, Lawren Smithline

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The 2/3 Bound for Rewritable n-tuples, Lawren Smithline and Catherine Sugar

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Cubing Ordered 2-sets, Jeffery Vanderkam

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Divisibility by |G| for Powers of Ordered k-sets, Jeffery Vanderkam

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A4 Rewriteability, Eric Wepsic, Kevin O'Bryant, and Lawren Smithline

Submissions from 1991

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Counting Centralizers in Finite Groups, Sarah Marie Belcastro and Gary J. Sherman

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An Upper Bound for 3-Rewriteability in Finite Groups, Jordan Ellenberg

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Integer Triangles with Rational Medians, Bart Goddard and Dale Mesner

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Cyclicizers, Centralizers, and Normalizers, David Patrick and Eric Wepsic

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Finite Abelian Groups in which the Probability of an Automorphism Fixing an Element is Large, Gary J. Sherman

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Undergraduates, the Right Questions, and Cayley Produce Results, Gary J. Sherman

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More Upper Bounds on the 3-Rewriteability of Non-3-Rewriteable Groups, Eric Wepsic

Submissions from 1990

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Sets of Typical Subsamples, Joel Atkins and G.J Sherman

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Dihedral Rewriteability, Cheryl P. Grood

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Characterization of Joint Density by Conditional Densities, A.K. Gupta and T. Varga

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Characterization of Matrix Variate Normal Distributions, A.K. Gupta and T. Varga

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Fibonacci Sequences in Finite Groups, Steven W. Knox

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A Numerical Approach to Rewriteability in Finite Groups, J.L. Leavitt, G.J. Sherman, and M.E. Walker

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Rewriteable Sequencings of Groups, Jeanne Nielsen

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Maximal Order Three-Rewriteable Subgroups of Symmetric Groups, John T. O'Bryan

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How Hamiltonian Can a Finite Group Be?, G.J. Sherman, T.J. Tucker, and M.E. Walker

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Some Facts About CWAT-Sets, Martin Wattenburg