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Submissions from 2009

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Some Properties of Algebras of Real-valued Measurable Functions, Hassan Azadi, Melvin Henriksen, and Ehsan Momtahan

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Ta Da! (A Magical Math Pop Quiz), Arthur T. Benjamin

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Ted Talk: Arthur Benjamin's Formula for Changing Math Education, Arthur T. Benjamin

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Compression Theorems for Periodic Tilings and Consequences, Arthur T. Benjamin, Alex K. Eustis '06, and Mark A. Shattuck

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Counting on Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton '07

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A Semilinear Wave Equation with Smooth Data and No Resonance Having No Continuous Solution, Jose F. Caicedo and Alfonso Castro

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Voting, the Symmetric Group, and Representation Theory, Zajj Daugherty '05, Alexander K. Eustis '06, Gregory Minton '08, and Michael E. Orrison

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Mathematical Model Creation for Cancer Chemo-Immunotherapy, 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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Asymptotic Dynamics of Attractive-Repulsive Swarms, Andrew J. Leverentz '08, Chad M. Topaz, and Andrew J. Bernoff

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A preliminary mathematical model of skin dendritic cell trafficking and induction of T cell immunity, Amy H. Lin Erickson, Alison Wise, Stephen Fleming, Margaret Baird, Zabeen Lateef, Annette Molinaro, Miranda Teboh-Ewungkem, and Lisette G. de Pillis

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Stability of Traveling Waves in Thin Liquid Films Driven by Gravity and Surfactant, Ellen Peterson, Michael Shearer, Thomas P. Witelski, and Rachel Levy

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Attribute estimation and testing quasi-symmetry, Nicholas Pippenger and Krzysztof Majewski

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Sum Rules and Universality in Electron-modulated Acoustic Phonon Interaction in a Free-standing Semiconductor Plate, Shigeyasu Uno, Darryl H. Yong, and Nobuya Mori

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Gaseous Hole Closing in a Polymer Langmuir Monolayer, Lu Zou, Andrew J. Bernoff, J. Adin Mann Jr., James C. Alexander, and Elizabeth K. Mann

Submissions from 2008

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Uniqueness of Large Radial Solutions and Existence of Nonradial Solutions for a Superlinear Dirichlet Problem in Annulii, Hugo Aduén, Alfonso Castro, and Jorge Cossio

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The 99th Fibonacci Identity, Arthur T. Benjamin, Alex K. Eustis '06, and Sean S. Plott '08

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A Combinatorial Approach to Fibonomial Coefficients, Arthur T. Benjamin and Sean S. Plott '08

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Tiling Proofs of Recent Sum Identities Involving Pell Numbers, Arthur T. Benjamin, Sean S. Plott, and James A. Sellers

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Tiling Proofs of Recent Sum Identities Involving Pell Numbers, Arthur T. Benjamin, Sean S. Plott '08, and James A. Sellers

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An Alternate Approach to Alternating Sums: A Method to DIE for, Arthur T. Benjamin and Jennifer J. Quinn

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Paint it Black -- A Combinatorial Yawp, Arthur T. Benjamin, Jennifer J. Quinn, James A. Sellers, and Mark A. Shattuck

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Mathematics in the Mountains: The Park City Mathematics Institute, Andrew J. Bernoff

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Traveling Waves and Shocks in a Viscoelastic Generalization of Burgers' Equation, Victor Camacho '07, Robert D. Guy, and Jon T. Jacobsen

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The Art of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, and Michael E. Orrison Jr.

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Are Engineering Schools Masculine and Authoriarian? The Mission Statements Say Yes, Emmeline G. de Pillis and Lisette G. de Pillis

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Optimal Control of Mixed Immunotherapy and Chemotherapy of Tumors, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Tiffany Head '06, Kenny Maples '06, Todd Neal, Anand Murugan, and Kenji Kozai '08

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Distribution of the Number of Encryptions in Revocation Schemes for Stateless Receivers, Christopher Eagle, Zhicheng Gao, Mohamed Omar, Daniel Panario, and Bruce Richmond

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The Shapley Value of Phylogenetic Trees, Claus-Jochen Haake, Akemi Kashiwada '05, and Francis E. Su

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Borda Meets Pascal, Marie K. Jameson, Gregory Minton '08, and Michael E. Orrison

The Cooperating and Competitive Strategy Research of Tianjin Port, Tianxia Li and Weiqing Gu

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Systematic mistakes are likely in bounded optimal decision-making systems, Nicholas Pippenger and Adi Livnat

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Fault Tolerance in Cellular Automata at High Fault Rates, Nicholas Pippenger and Mark McCann

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A Model for Rolling Swarms of Locusts, Chad M. Topaz, Andrew J. Bernoff, Sheldon Logan '06, and Wyatt Toolson '07

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Mathematics of Voting, Darryl H. Yong

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Imagine Math Day: Encouraging Secondary School Students and Teachers to Engage in Authentic Mathematical Discovery, Darryl H. Yong and Michael E. Orrison Jr.

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

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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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Estimating Winning Probabilities in Backgammon Races, Andrew M. Ross, Arthur T. Benjamin, and Michael Munson '94

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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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Double Birthday Magic Square, Arthur T. Benjamin

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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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Combinatorial Interpretations of Spanning Tree Identities, Arthur T. Benjamin and Carl R. Yerger

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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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Spectral Analysis of the Supreme Court, Brian L. Lawson, Michael E. Orrison, and David T. Uminsky

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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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A Framework for Inclusive Teaching in STEM Disciplines, Lois Reddick, Wayne Jacobson, Angela Linse, and Darryl Yong

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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