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Submissions from 2005

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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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Fibonacci Determinants — A Combinatorial Approach, Arthur T. Benjamin, Naiomi T. Cameron, and Jennifer J. Quinn

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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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The Closed Topological Vertex via the Cremona Transform, Jim Bryan and Dagan Karp

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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 '03

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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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Random Walks with Badly Approximable Numbers, Doug Hensley and Francis Su

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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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Magical Miscellany, Francis 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

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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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The Fibonacci Numbers -- Exposed More Discretely, Arthur T. Benjamin and Jennifer J. Quinn

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A Generalization of a Theorem on Biseparating Maps, Karim Boulabiar, Gerard Buskes, and Melvin Henriksen

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Asymptotic Behavior of the Potential and Existence of a Periodic Solution for a Second Order Differential Equation, Alfonso Castro and Chen Chang

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The Effect of the Domain Topology on the Number of Minimal Nodal Solutions of an Elliptic Equation at Critical Growth in a Symmetric Domain, Alfonso Castro and Mónica Clapp

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A Sign-Changing Solution for a Superlinear Dirichlet Problem, II, Alfonso Castro, Pavel Drabek, and John M. Neuberger

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The Dynamics of an Optimally Controlled Tumor Model: A Case Study, Lisette G. de Pillis and Ami E. Radunskaya

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A Mathematical Model of Immune Response to Tumor Invasion, Lisette de Pillis and Ami Radunskaya

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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

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A Pointfree Study of Bases For Spaces Of Minimal Prime Ideals, Melvin Henriksen and Joanne Walters-Wayland

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Solitary Waves in Layered Nonlinear Media, Randall J. Leveque and Darryl H. Yong

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SRT Division Algortihms as Dynamical Systems, Mark McCann and Nicholas J. Pippenger

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Rates of Convergence to Self-Similar Solutions of Burgers' Equation, Joel C. Miller '00 and Andrew J. Bernoff

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The Inequalities of Quantum Information Theory, Nicholas Pippenger

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The Shortest Disjunctive Normal Form of a Random Boolean Function, Nicholas Pippenger

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Consensus-Halving via Theorems of Borsuk-Ulam and Tucker, Forrest W. Simmons and Francis E. Su

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Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media, Darryl H. Yong and Randall J. Leveque

Submissions from 2002

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Infinitely Many Nonradial Solutions to a Superlinear Dirichlet Problem, Hugo Aduén and Alfonso Castro

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Analysis of the N-Card Version of the Game Le Her, Arthur T. Benjamin and Alan J. Goldman

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Two Quick Combinatorial Proofs, Arthur T. Benjamin and Michael E. Orrison

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A Stirling Encounter with Harmonic Numbers, Arthur T. Benjamin, Gregory O. Preston '01, and Jennifer J. Quinn

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Linear Stability of Source-Type Similarity Solutions of the Thin Film Equation, Andrew J. Bernoff and Thomas P. Witelski

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A Polytopal Generalization of Sperner's Lemma, Jesus A. De Loera, Elisha Peterson '00, and Francis E. Su

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Cesaro Limits of Analytically Perturbed Stochastic Matrices, Jerzy Filar, Henry A. Krieger, and Zamir Sayed

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On Choosing and Bounding Probability Metrics, Alison L. Gibbs and Francis E. Su

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Bidding for Envy-Freeness: A Procedural Approach to n-Player Fair-Division Problems, Claus-Jochen Haake, Matthias G. Raith, and Francis E. Su

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Old and New Unsolved Problems in Lattice-Ordered Rings that need not be f-Rings, Melvin Henriksen

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A Minimal Regular Ring Extension of C(X), Melvin Henriksen, Robert M. Raphael, and R. G. Woods

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The Liouville-Bratu-Gelfand Problem for Radial Operators, Jon T. Jacobsen and Klaus Schmitt

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Four-Person Envy-Free Chore Division, Elisha Peterson '00 and Francis E. Su

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Analysis of Carry Propagation in Addition: An Elementary Approach, Nicholas Pippenger

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Enumeration of Matchings in the Incidence Graphs of Complete and Complete Bipartite Graphs, Nicholas Pippenger

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Galois Theory for Minors of Finite Functions, Nicholas Pippenger

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Quantum Signal Propagation in Depolarizing Channels, Nicholas Pippenger

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Expected Acceptance Counts for Finite Automata with Almost Uniform Input, Nicholas J. Pippenger

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Nonlinear Dynamics of Mode-locking Optical Fiber Ring Lasers, Kristin M. Spaulding, Darryl H. Yong, Arnold D. Kim, and J Nathan Kutz

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Initial Boundary-Value Problems for a Pair of Conservation Laws, Darryl H. Yong and J Kevorkian

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Solving Boundary-value Problems for Systems of Hyperbolic Conservation Laws with Rapidly Varying Coefficients, Darryl H. Yong and J Kevorkian

Submissions from 2001

An Extension of a Criterion for Unimodality, Jenny Alvarez, Miguel Amadis, George Boros, Dagan Karp, Victor H. Moll, and Leobardo Rosales

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Monotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere, Andrew Belmonte, Jon T. Jacobsen, and Anandhan Jayaraman

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Optimal Token Allocations in Solitaire Knock 'M Down, Arthur Benjamin, Matthew T. Fluet, and Mark L. Huber

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Mathematical Constance (A Poem Dedicated to Constance Reid), Arthur T. Benjamin

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Math Major, Math Major, Arthur T. Benjamin

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Proof With Words: 2 + 11 - 1 = 12, Arthur T. Benjamin

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Composite Fermions and Integer Partitions, Arthur T. Benjamin, Jennifer J. Quinn, John J. Quinn, and Arkadiusz Wojs

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A Local Inversion Principle of the Nash-Moser Type, Alfonso Castro and J. W. Neuberger

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An Inverse Function Theorem via Continuous Newton’s Method, Alfonso Castro and J. W. Neuberger

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Model Updating by Adding Known Masses, Philip D. Cha and Lisette G. de Pillis

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The Long-Term Impact of University Budget Cuts: A Mathematical Model, Emmeline G. de Pillis and Lisette G. de Pillis

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A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach, Lisette G. de Pillis and Ami E. Radunskaya

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Volume-Preserving Great Circle Flows on the 3-Sphere, Herman Gluck and Weiqing Gu

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Uniqueness of Volume-Minimizing Submanifolds Calibrated by the First Pontryagin Form, Daniel A. Grossman and Weiqing Gu

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Oxtoby's Pseudocompleteness Revisited, Melvin Henriksen, Ralph Kopperman, Marlon Rayburn, and Aaron R. Todd