#### Submissions from 2005

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

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

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

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

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

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

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

Grid-Enabling a Vibroacoustic Analysis Application, Brian Bentow, Jon Dodge, Aaron Homer, Christopher D. Moore, Robert M. Keller, Matthew T. Presley, Robert Davis, Jorge Seidel, Craig Lee, and Joseph Betser

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

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

Sediment Transport Model Validation in Lake Michigan, Mary P. Cardenas, David J. Schwab, Brian J. Eadie, Nathan Hawley, and Barry M. Lesht

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

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

A Comparison of Through-Space and Through-Bond Coupling for Tunneling in Alkane Chains, Emily Cukier '03 and Robert J. Cave

Determinants and Polynomial Root Structure, Lisette G. de Pillis

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

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

Forced Unraveling of Nucleosomes Assembled on Heterogeneous DNA Using Core Histones, NAP-1, and ACF, Gregory J. Gemmen, Ronald Sim, Karl A. Haushalter, Pu Chun Ke, James T. Kadonaga, and Douglas E. Smith

Selectron Mass Reconstruction and the Resolution of the Linear Collider Detector, Sharon J. Gerbode, Heath Holguin, Troy Lau, Paul Mooser, Adam Pearlstein, Joe Rose, and Bruce Schumm

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

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

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

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

Harmonic Generation in Thin Films and Multilayers, William S. Kolthammer '04, Dustin Barnard '03, Nicole Carson, Aaron D. Edens '00, Nathan A. Miller '01, and Peter N. Saeta

A Theoretical Investigation of Charge Transfer in Several Substituted Acridinium Ions, Jason Lappe '00, Robert J. Cave, Marshall D. Newton, and I.V. Rostov

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

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

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

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

The Average Amount of Information Lost in Multiplication, Nicholas Pippenger

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

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

Bringing Political Science to Bear on Tropical Conservation, Paul F. Steinberg

From Public Concern to Policy Effectiveness: Civic Conservation in Developing Countries, Paul F. Steinberg

Lack of Evidence for Horizontal Transfer of the lac Operon into Escherichia coli, Daniel M. Stoebel

Fun and Games: A New Software Engineering Course, Elizabeth Sweedyk and Robert M. Keller

X-Ray Generation from Metal Targets Coated with Wavelength-Scale Spheres, D. R. Symes, H. A. Sumeruk, I. V. Churina, Thomas D. Donnelly, J. Landry, and T. Ditmire

Cryptic Chlorination by a Non-haem Iron Enzyme During Cyclopropyl Amino Acid Biosynthesis, Frédéric H. Vaillancourt, Ellen Yeh, David A. Vosburg, Sarah E. O'Connor, and Christopher T. Walsh

Natural Product Biosynthetic Assembly Lines: Prospects and Challenges for Reprogramming, David A. Vosburg and Christopher T. Walsh

Nature's Assembly Line Logic for Natural Products, Christopher T. Walsh, Ryan G. Kruger, and David A. Vosburg

Using Rotations to Obtain Compatibility Equations for Statically Indeterminate Trusses, Harry E. Williams and Clive L. Dym

Integrating Functional Synthesis, William H. Wood, Hui Dong, and Clive L. Dym

#### Submissions from 2004

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

Walking and Running in the Red-Legged Running Frog, Kassina Maculata, Anna N. Ahn, E Furrow, and Andrew A. Biewener

Mathematical Magic, Arthur T. Benjamin

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

Femtosecond Spectrotemporal Magneto-Optics, J.-Y. Bigot, L. Guidoni, E. Beaurepaire, and Peter N. Saeta

Semilinear Equations with Discrete Spectrum, Alfonso Castro

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

A Dressed TDDFT Treatment of the 21Ag states of Butadiene and Hexatriene, Robert J. Cave, Fan Zhang, Neepa T. Maitra, and Kieron Burke

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

Ultrafast Spectrally Resolved Magneto-optics, L. Guidoni, E. Beaurepaire, Peter N. Saeta, and J.-Y. Bigot

Examples of Cayley 4-Manifolds, Weiqing Gu and Christopher Pries '03

Optimal Virtual Topologies for One-to-Many Communication in WDM Paths and Rings, Jeff R.K. Hartline '01, Ran Libeskind-Hadas, Kurt M. Dresner '02, Ethan W. Drucker '02, and Katrina J. Ray '02

Visualizing Early Frog Development with Motion-sensitive 3-D Optical Coherence Microscopy, Richard C. Haskell, Mary E. Williams, Daniel C. Petersen, Barbara M. Hoeling, Andrew J. Schile, J. D. Pennington, M. G. Seetin, J. M. Castelaz, Scott E. Fraser, Cyrus Papan, Hongwu Ren, Johannes F. de Boer, and Zhongping Chen

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

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

Improved Phase Modulation for an En-face Scanning Three-dimensional Optical Coherence Microscope, Barbara M. Hoeling, Mary E. Peter, Daniel C. Petersen, and Richard C. Haskell

Estimating Scale Up Cost Factors for Commercial Jet Planes, Christopher P. Holcomb and Donald S. Remer

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

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

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

Limits to Performance Improvement Provided by Balanced Interferometers and Balanced Detection in OCT/OCM Instruments, David Liao, Adam E. Pivonka, Brendan R. Haberle, Daniel C. Petersen, Barbara M. Hoeling, and Richard C. Haskell

Double Excitations within Time-Dependent Density Functional Theory Linear Response, Neepa T. Maitra, Fan Zhang, Robert J. Cave, and Kieron Burke

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

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

On the Complexity of Virtual Topology Design for Multicasting in WDM Trees With Tap-and-Continue and Multicast-Capable Switches, Edward Miller '03, Ran Libeskind-Hadas, Dustin Barnard '03, Will Chang '04, Kurt M. Dresner '02, Wesley Turner '03, and Jeff R.K. Hartline '01

Electric-Field-Based Routing: A Reliable Framework for Routing in MANETs, Nam T. Nguyen, An-I Andy Wang, Peter Reiher, and Geoffrey H. Kuenning

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

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

Optical coherence microscopy for the evaluation of a tissue-engineered artificial cornea, Elizabeth J.; Haskell, Richard C.; Petersen, Daniel C. Orwin; S Lee; C Raub; T Icenogle; M Arman; A Cho; R Lovec; A Malone; and BM Hoeling

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

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

Entropy and Expected Acceptance Counts for Finite Automata, Nicholas Pippenger

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

Immunogold Labeling to Enhance Contrast in Optical Coherence Microscopy of Tissue Engineered Corneal Constructs, Chris B. Raub, Elizabeth J. Orwin, and Richard C. Haskell

Immunogold Labeling to Enhance Contrast in Optical Coherence Microscopy of Tissue Engineered Corneal Constructs, Christopher B. Raub '04, Elizabeth J. Orwin, and Richard C. Haskell

Closed Strings in Ramond-Ramond Backgrounds, Vatche Sahakian

On the Polarization of Closed Strings by Ramond-Ramond Fluxes, Vatche Sahakian

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

#### Submissions from 2003

In Vivo and In Vitro Heterogeneity of Segment Length Changes in the Semimembranosus Muscle of the Toad, Anna N. Ahn, R J. Monti, and Andrew A. Biewener

Femtosecond Dynamics of Light Transmission Through Sub-Wavelength Hole Arrays in Metallic Films, A, Benabbas; V. Halté; L. Guidoni; Peter N. Saeta; J.-Y. Bigot; A. Degiron; H. J. Lezec; and T. W. Ebbesen

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

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

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

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

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

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

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

Enabling Computer Decisions Based on EEG Input, Benjamin J. Culpepper and Robert M. Keller

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

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

On the Analysis of Small Displacements of Truss Joints, Clive L. Dym and Harry E. Williams

Size Doesn't Matter: Microbial Selection Experiments Address Ecological Phenomena, Michael Feldgarden, Daniel M. Stoebel, Dustin Brisson, and Daniel E. Dykhuizen

The Computational Complexity of Motion Planning, Jeff R.K. Hartline '01 and Ran Libeskind-Hadas

Chromatin Assembly by DNA-translocating Motors, Karl A. Haushalter and James T. Kadonaga

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

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

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

Use of Pulsed-UV Processes to Destroy NDMA, Sun Liang, Joon H. Min, Marshall K. Davis, James F. Green, and Donald S. Remer