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Submissions from 2012

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Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin

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Locust Dynamics: Behavioral Phase Change and Swarming, Chad M. Topaz, Maria R. D'Orsogna, Leah Edelstein-Keshet, and Andrew J. Bernoff

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Adventures in Teaching: A Professor Goes to High School to Learn about Teaching Math, Darryl H. Yong

Submissions from 2011

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Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin

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Third and Fourth Binomial Coefficients, Arthur T. Benjamin and Jacob N. Scott

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A Space-Filling, Nonregular Tetrahedron, Margaret Cagle, Joyce Frost, Christine Latulippe, and Darryl H. Yong

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A Theory for the Hydrodynamic Origin of Whale Flukeprints, Rachel Levy, David Uminsky, Allison Park, and John Calambokidis

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Dynamic Server Allocation at Parallel Queues, Susan E. Martonosi

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A New Framework for Network Disruption, Susan E. Martonosi, Doug Altner, Michael Ernst, Elizabeth Ferme, Kira Langsjoen, Danika Lindsay, Sean Plott, and Andrew S. Ronan

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Flight Delays at RegionEx, Susan E. Martonosi and Amr Farahat

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Characteristics of Optimal Solutions to the Sensor Location Problem, David R. Morrison and Susan E. Martonosi

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A Census of Vertices by Generations in Regular Tessellations of the Plane, Nicholas Pippenger

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Two Extensions of Results of Archimedes, Nicholas Pippenger

Submissions from 2010

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Mathematical Biology at an Undergraduate Liberal Arts College, Stephen C. Adolph and Lisette G. de Pillis

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An Amazing Mathematical Card Trick, Arthur T. Benjamin

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Combinatorial Trigonometry with Chebyshev Polynomials, Arthur T. Benjamin, Larry Ericksen, Pallavi Jayawant, and Mark Shattuck

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Combinatorially Composing Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton

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Self-Similarity in Particle-Laden Flows at Constant Volume, Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward, and Andrea L. Bertozzi

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Engineering Flow States with Localized Forcing in a Thin, Marangoni-Driven Inclined Film, Rachel Levy, Stephen Rosenthal, and Jeffrey Wong

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Sex, Mixability, and Modularity, Nicholas Pippenger

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The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements, Nicholas Pippenger

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Large Deviations and Moments for the Euler Characteristic of a Random Surface, Nicholas Pippenger and Kevin Fleming

Submissions from 2009

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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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Counting on Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton

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Asymptotic Dynamics of Attractive-Repulsive Swarms, Andrew J. Bernoff

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Gasous Hole Closing in a Polymer Langmuir Monolayer, Andrew J. Bernoff

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

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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

Submissions from 2008

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The 99th Fibonacci Identity, Arthur T. Benjamin, Alex K. Eustis, and Sean S. Plott

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A Combinatorial Approach to Fibonomial Coefficients, Arthur T. Benjamin and Sean S. Plott

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

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

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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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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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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

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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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Determination of Interphase Line Tension in Langmuir Films, Andrew J. Bernoff

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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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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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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.

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

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Hole Dynamics in Polymer Langmuir Films, Andrew J. Bernoff

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Mean Field Effects for Counterpropagating Traveling Wave Solutions of Reaction-Diffusion Systems, Andrew J. Bernoff

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

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

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

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Two-Dimensional Self-Assembly in Diblock Copolymers, Andrew J. Bernoff

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Using Ultrasonic Atomization to Produce an Aerosol of Micron-scale Particles, Andrew J. Bernoff

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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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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, Nicholas Pippenger

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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

Submissions from 2004

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Mathematical Magic, Arthur T. Benjamin

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An Experimental Study of Micron-scale Droplet Aerosols Produced via Ultrasonic Atomization, Andrew J. Bernoff

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Combining Local and Von Neumann Regular Rings, Melvin Henriksen

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

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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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Entropy and Expected Acceptance Counts for Finite Automata, Nicholas Pippenger

Submissions from 2003

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A Combinatorial Approach to Hyperharmonic Numbers, Arthur T. Benjamin, David Gaebler, and Robert Gaebler

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A Probabilistic View of Certain Weighted Fibonacci Sums, Arthur T. Benjamin, Judson D. Neer, Daniel T. Otero, and James A. Sellers

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A Generalization of a Theorem on Biseparating Maps, Melvin Henriksen

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Spaces X in Which All Prime z-Ideals of C(X) Are Minimal or Maximal, Melvin Henriksen, Jorge Martinez, and R. G. Woods