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Submissions from 2007

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Domain Relaxation in Langmuir Films, James C. Alexander, Andrew J. Bernoff, Elizabeth K. Mann, J. Adin Mann Jr., Jacob R. Wintersmith '06, and Lu Zou

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Ways in which C(X) mod a Prime Ideal Can be a Valuation Domain; Something Old and Something New, Bikram Banerjee and Melvin Henriksen

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The Probability of Relatively Prime Polynomials, Arthur T. Benjamin and Curtis D. Bennet

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Fibonacci Deteminants - A Combinatorial Approach, Arthur T. Benjamin, Naiomi T. Cameron, and Jennifer J. Quinn

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Solution to Problem 1751, A Combinatorial Identity, Arthur T. Benjamin and Andrew Carman '09

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A Combinatorial Proof of Vandermonde's Determinant, Arthur T. Benjamin and Gregory P. Dresden

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A Combinatorial Solution to Intertwined Recurrences, Arthur T. Benjamin and Michael D. Hirschhorn

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Recounting Determinants for a Class of Hessenberg Matrices, Arthur T. Benjamin and Mark A. Shattuck

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Positive Solutions for Classes of Multiparameter Elliptic Semipositone Problems, Scott Caldwell, Alfonso Castro, Ratnasingham Shivaji, and Sumalee Unsurangsie

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Infinitely Many Radial Solutions for a Sub-Super Critical Dirichlet Boundary Value Problem in a Ball, Alfonso Castro, John Kwon, and Chee Meng Tan '07

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Seeking Bang-Bang Solutions of Mixed Immuno-Chemotherapy of Tumors, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Craig Collins, Michael Daub, David Gross '08, James Moore '07, and Benjamin Preskill '09

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Chemotherapy for Tumors: An Analysis of the Dynamics and a Study of Quadratic and Linear Optimal Controls, Lisette G. de Pillis, Weiqing Gu, K Renee Fister, Tiffany Head '06, Kenny Maples '06, Anand Murugan, Todd Neal, and Kenji Yoshida '08

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Teaching Time Savers: Is Homework Grading on Your Nerves?, Lisette G. de Pillis and Michael E. Orrison Jr.

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Comment on: A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth, Lisette G. de Pillis, Ami E. Radunskaya, and Charles L. Wiseman

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Turing Patterns on Growing Spheres: The Exponential Case, Julijana Gjorgjieva and Jon T. Jacobsen

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Removing Sets from Connected Spaces While Preserving Connectedness, Melvin Henriksen and Amir Nikou

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SP-Scattered Spaces: A New Generalization of Scattered Spaces, Melvin Henriksen, Robert M. Raphael, and R. G. Woods

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As Flat As Possible, Jon T. Jacobsen

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Approximations of Continuous Newton's Method: An Extension of Cayley's Problem, Jon T. Jacobsen, Owen Lewis '05, and Bradley Tennis '06

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Automated Review of Prerequisite Material for Intermediate-Level Undergraduate Mathematics, Rachel Levy, Michael Shearer, and Padraic Taylor

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Gravity-driven Thin Liquid Films with Insoluble Surfactant: Smooth Traveling Waves, Rachel Levy, Michael Shearer, and Thomas P. Witelski

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Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.

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A Fixed Point Theorem for the Infinite-Dimensional Simplex, Douglas Rizzolo '08 and Francis E. Su

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The LSB Theorem Implies the KKM Lemma, Gwen Spencer '05 and Francis E. Su

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Applying Risk Assessment to Secure the Containerized Supply Chain, Maarten van de Voort, Henry H. Willis, David S. Ortiz, and Susan E. Martonosi

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Determination of Interphase Line Tension in Langmuir Films, Jacob R. Wintersmith '06, Lu Zou, Andrew J. Bernoff, James C. Alexander, and J. Adin Mann Jr.

Submissions from 2006

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The Maximal Regular Ideal of Some Commutative Rings, Emad Abu Osba, Melvin Henriksen, Osama Alkam, and Frank A. Smith

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Hole Dynamics in Polymer Langmuir Films, James C. Alexander, Andrew J. Bernoff, Elizabeth K. Mann, J. Adin Mann Jr., and Lu Zou

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Self-Avoiding Walks and Fibonacci Numbers, Arthur T. Benjamin

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Revisiting Fibonacci and Related Sequences, Arthur T. Benjamin and Jennifer J. Quinn

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Summing Cubes by Counting Rectangles, Arthur T. Benjamin, Jennifer J. Quinn, and Calyssa Wurtz

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Mean Field Effects for Counterpropagating Traveling Wave Solutions of Reaction-Diffusion Systems, Andrew J. Bernoff, R. Kuske, B. J. Matkowsky, and V. Volpert

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Dead Heat: The 2006 Public Choice Society Election, Steven J. Brams, Michael W. Hansen '07, and Michael E. Orrison Jr.

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Mixed Immunotherapy and Chemotherapy of Tumors: Modeling Applications and Biological Interpretations, Lisette G. de Pillis, Weiqing Gu, and Ami E. Radunskaya

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Spatial Tumor-Immune Modeling, Lisette G. de Pillis, D G. Mallet, and Ami E. Radunskaya

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Some Promising Approaches to Tumor-Immune Modeling, Lisette G. de Pillis and Ami E. Radunskaya

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Communicating Applied Mathematics: Four Examples, Daniel E. Finkel, Christopher Kuster, Matthew Lasater, Rachel Levy, Jill P. Reese, and Ilse C. F. Ipsen

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Residue Class Rings of Real-Analytic and Entire Functions, Marek Golasiński and Melvin Henriksen

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Optimal Therapy Regimens for Treatment-Resistant Mutations of HIV, Weiqing Gu and Helen Moore

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The Local Gromov–Witten Invariants of Configurations of Rational Curves, Dagan Karp, Chiu-Chu Melissa Liu, and Marcos Mariño

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An Optimal Brain Can Be Composed of Conflicting Agents, Adi Livnat and Nicholas Pippenger

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A Cellular Automata Model of Tumor–Immune System Interactions, D G. Mallet and Lisette G. de Pillis

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How Effective Is Security Screening of Airline Passengers?, Susan E. Martonosi and Arnold Barnett

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The Linear Complexity of a Graph, David L. Neel and Michael E. Orrison Jr.

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Asymptotics of Largest Components in Combinatorial Structures, Mohamed Omar, Daniel Panario, Bruce Richmond, and Jacki Whitely

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Reflections Acting Efficiently on a Building, Michael E. Orrison

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Teaching Time Savers: A Recommendation for Recommendations, Michael E. Orrison Jr.

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Teaching Time Savers: Some Advice on Giving Advice, Michael E. Orrison Jr.

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Teaching Time Savers: Style Points, Michael E. Orrison Jr.

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The Linking Probability of Deep Spider-Web Networks, Nicholas Pippenger

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Topological characteristics of random triangulated surfaces, Nicholas Pippenger and Kristin Schleich

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The Motion of a Thin Liquid Film Driven by Surfactant and Gravity, Michael Shearer and Rachel Levy

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Growing Surfactant Waves in Thin Liquid Films Driven by Gravity, Thomas P. Witelski, Michael Shearer, and Rachel Levy

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Strings, Chains, and Ropes, Darryl H. Yong

Submissions from 2005

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Combinatorial Proofs of Fermat's, Lucas's, and Wilson's Theorems, Peter G. Anderson, Arthur T. Benjamin, and Jeremy A. Rouse

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Book Review: Across the Board: The Mathematics of Chessboard Problems by John J. Watkins, Arthur T. Benjamin

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Proof Without Words: Alternating Sums of Odd Numbers, Arthur T. Benjamin

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Ted Talk: Arthur Benjamin Does "Mathemagic", Arthur T. Benjamin

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Q.954 and A.954, Quickie Problem and Solution, Arthur T. Benjamin and Michel Bataille

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Recounting the Odds of an Even Derangement, Arthur T. Benjamin, Curtis D. Bennet, and Florence Newberger

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Counting on Determinants, Arthur T. Benjamin and Naiomi T. Cameron

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Pythagorean Primes and Palindromic Continued Fractions, Arthur T. Benjamin and Doron Zeilberger

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Lower Bounds for Simplicial Covers and Triangulations of Cubes, Adam Bliss '03 and Francis E. Su

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Upper Estimates for the Energy of Solutions of Nonhomogeneous Boundary Value Problems, Alfonso Castro and Mónica Clapp

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Construction of a Radial Solution to a Superlinear Dirichlet Problem that Changes Sign Exactly Once, Alfonso Castro and Jorge Cossio

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Determinants and Polynomial Root Structure, Lisette G. de Pillis

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A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth, Lisette G. de Pillis, Ami E. Radunskaya, and Charles L. Wiseman

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Using Ultrasonic Atomization to Produce an Aerosol of Micron-scale Particles, Thomas D. Donnelly, J. Hogan '03, A. Mugler '04, M. Schubmehl '02, N. Schommer '04, Andrew J. Bernoff, S. Dasnurkar, and T. Ditmire

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Properties of One-Point Completions of a Noncompact Metrizable Space, Melvin Henriksen, Ludvík Janoš, and R. G. Woods

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C(X) Can Sometimes Determine X Without X Being Realcompact, Melvin Henriksen and Biswajit Mitra

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Two-Dimensional Self-Assembly in Diblock Copolymers, Anette E. Hosoi, Dmitriy Kogan '03, Caitlin E. Devereaux '02, Andrew J. Bernoff, and Shenda M. Baker

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Looking Beyond the Curriculum in Jamaica, Jon T. Jacobsen and Michael E. Orrison Jr.

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Kinetics and Nucleation for Driven Thin Film Flow, Rachel Levy and Michael Shearer

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Evaluating the Viability of 100 Per Cent Container Inspection at America’s Ports, Susan E. Martonosi, David S. Ortiz, and Henry H. Willis

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SRT Division Algorithms As Dynamical Systems, Mark McCann and Nicholas Pippenger

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A Mathematical Model for Treatment-Resistant Mutations of HIV, Helen Moore and Weiqing Gu

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The Average Amount of Information Lost in Multiplication, Nicholas Pippenger

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The Boolean Functions Computed by Random Boolean Formulas OR How to Grow the Right Function, Nicholas Pippenger and Alex Brodsky

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A Constructive Proof of Ky Fan's Generalization of Tucker's Lemma, Timothy Prescott '02 and Francis E. Su

Submissions from 2004

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A (not so) Complex Solution to a² + b² = cⁿ, Arnold M. Adelberg, Arthur T. Benjamin, and David I. Rudel '99

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Mathematical Magic, Arthur T. Benjamin

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Putnam, Pizza & Problem Solving, Andrew J. Bernoff and Francis E. Su

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Semilinear Equations with Discrete Spectrum, Alfonso Castro

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An Existence Result for a Class of Sublinear Semipositone Systems, Alfonso Castro, C. Maya, and Ratnasingham Shivaji

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An Experimental Study of Micron-scale Droplet Aerosols Produced via Ultrasonic Atomization, Thomas D. Donnelly, J. Hogan '03, A. Mugler '04, N. Schommer '04, M. Schubmehl '02, Andrew J. Bernoff, and B. Forrest '02

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Examples of Cayley 4-Manifolds, Weiqing Gu and Christopher Pries

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Cozero Complemented Spaces; When the Space of Minimal Prime Ideals of a C(X) is Compact, Melvin Henriksen and R. G. Woods

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A Liouville-Gelfand Equation for k-Hessian Operators, Jon T. Jacobsen

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Radial Solutions of Quasilinear Elliptic Differential Equations, Jon T. Jacobsen and Klaus Schmitt

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Comparison of Two Dynamic Contact Line Models for Driven Thin Liquid Films, Rachel Levy and Michael Shearer

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Terror is in the Air, Susan E. Martonosi and Arnold Barnett

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Computing Isotypic Projections with the Lanczos Iteration, David K. Maslen, Michael E. Orrison Jr., and Daniel N. Rockmore

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Rooted Trees and Iterated Wreath Products of Cyclic Groups, Rosa C. Orellana, Michael E. Orrison Jr., and Daniel N. Rockmore

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Radon Transforms and the Finite General Linear Groups, Michael E. Orrison

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Essential P-Spaces: A Generalization of Door Spaces, Emad Abu Osba and Melvin Henriksen

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Combining Local and Von Neumann Regular Rings, Emad Abu Osba, Melvin Henriksen, and Osama Alkan

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Entropy and Expected Acceptance Counts for Finite Automata, Nicholas Pippenger

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Random Walks on the Torus with Several Generators, Timothy Prescott '02 and Francis E. Su

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Blowup and Dissipation in a Critical-Case Unstable Thin Film Equation, Thomas P. Witelski, Andrew J. Bernoff, and Andrea L. Bertozzi

Submissions from 2003

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A Combinatorial Approach to Hyperharmonic Numbers, Arthur T. Benjamin, David Gaebler '04, and Robert Gaebler '04