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Submissions from 2010

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Green, Enzymatic Syntheses of Divanillin and Diapocynin for the Organic, Biochemistry, or Advanced General Chemistry Laboratory, Rachel T. Nishimura '09, Chiara H. Giammanco '10, and David A. Vosburg

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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 '08

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Effective Collaborations to Support Transformative Research, Jeffrey G. Ryan and Lisette G. de Pillis

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From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory, Vatche Sahakian

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Economic Survey of the Monetary Value Placed on Human Life by Government Agencies in the United States of America, John F. Silny '05, Robert F. Little '06, and Donald S. Remer

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Comparative Environmental Politics: Beyond an Enclave Approach, Paul F. Steinberg

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The Effect of Mobile Element IS10 on Experimental Regulatory Evolution in Escherichia coli, Daniel M. Stoebel and Charles J. Dorman

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Waste and Yet Want Not, Daniel M. Stoebel and Daniel E. Dykhuizen

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Teaching Research: Encouraging Discoveries, Francis E. Su

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Two-step, Stereoselective Synthesis of Linalyl Oxides by Asymmetric Allylic O-alkylation, Kanny K. Wan '11, Jonathan P. Litz '09, and David A. Vosburg

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A Green, Enantioselective Synthesis of Warfarin for the Undergraduate Organic Laboratory, Terence C. Wong '09, Camille M. Sultana '10, and David A. Vosburg

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Generation of Nanoparticles of Controlled Size using Ultrasonic Piezoelectric Oscillators in Solution, Ian K. Wright '09, Andrew P. Higginbotham '09, Shenda M. Baker, and Thomas D. Donnelly

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Kinematic Evidence for Superfast Locomotory Muscle in Two Species of Teneriffiid Mites, Grace C. Wu, Jonathan C. Wright, Dwight L. Whitaker, and Anna N. Ahn

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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Inducing Chirality with Circularly Polarized Light, Robert J. Cave

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Self-Organized Criticality in Sheared Suspensions, L. Corté, Sharon J. Gerbode, W. Man, and D. J. Pine

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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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Consistent Derivations of Spring Rates for Helical Springs, Clive L. Dym

D3 Branes in a Melvin Universe: A new realm for gravitational holography, Julian E. Freed-Brown '10, Vedika Khemani '10, and Vatche Sahakian

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Generation of Mie Size Microdroplet Aerosols with Applications in Laser-Driven Fusion Experiments, Andrew P. Higginbotham '09, O. Semonin '06, S. Bruce '08, C. Chan '08, M. Maindi '07, Thomas D. Donnelly, M. Maurer, W. Bang, I. Churina, J. Osterholz, I. Kim, A. C. Bernstein, and T. Ditmire

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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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On the Computational Complexity of the Reticulate Cophylogeny Reconstruction Problem, Ran Libeskind-Hadas and Michael A. Charleston

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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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A Concise, Biomimetic Total Synthesis of (+)-Davanone, Karen C. Morrison '08, Jonathan P. Litz '09, Kathryn P. Scherpelz '07, Paul D. Dossa '06, and David A. Vosburg

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Thermal Links for the Implementation of an Optical Refrigerator, John Parker, David Mar, Steven Von der Porten, John Hankinson, Kevin Byram, Chris Lee, Michael K. Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein

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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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Project and Engineering Management Certification, Donald S. Remer and Michael A. Martin '09

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How Much can Guided Modes Enhance Absorption in Thin Solar Cells?, Peter N. Saeta, Vivian E. Ferry, Domenico Pacifici, Jeremy N. Munday, and Harry A. Atwater

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Institutional Resilience Amid Political Change: The Case of Biodiversity Conservation, Paul F. Steinberg

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Compensatory Evolution of Gene Regulation in Response to Stress by Escherichia coli Lacking RpoS, Daniel M. Stoebel, Karsten Hokamp, Michael S. Last, and Charles J. Dorman

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The Initial and Final States of Electron and Energy Transfer Processes: Diabatization as Motivated by System-Solvent Interactions, Joseph E. Subotnik, Robert J. Cave, Ryan P. Steele, and Neil Shenvi

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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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Gasous 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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Estimating Maximum Performance: Effects of Intraindividual Variation, Stephen C. Adolph and Trevor Pickering '05

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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 '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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Competitive Analysis of Online Traffic Grooming in WDM Rings, Karyn Benson, Benjamin Birnbaum, Esteban Molina-Estolano '06, and Ran Libeskind-Hadas

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

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Computer Modeling and Analysis of Thermal Link Performance for an Optical Refrigerator, Kevin Byram, David Mar, John Parker, Steven Von der Porten, John Hankinson, Chris Lee, Kai Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein

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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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Dynamic Thiolation–thioesterase Structure of a Non-ribosomal Peptide Synthetase, Dominique P. Frueh, Haribabu Arthanari, Alexander Koglin, David A. Vosburg, Andrew E. Bennett, Christopher T. Walsh, and Gerhard Wagner

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Restricted Dislocation Motion in Crystals of Colloidal Dimer Particles, Sharon J. Gerbode, Stephanie H. Lee, Chekesha M. Liddell, and Itai Cohen

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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

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K-shell Spectroscopy of Plasmas Created by Intense Laser Irradiation of Micron-scale Pyramid and Sphere Targets, S. Kneip, B. I. Cho, D. R. Symes, H. A. Sumeruk, G. Dyer, I. V. Churina, A. V. Belolipetski, A. Henig, O. Wehrhan, E Förster, Thomas D. Donnelly, and T. Ditmire

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Synthesis and Assembly of Nonspherical Hollow Silica Colloids Under Confinement, Stephanie H. Lee, Sharon J. Gerbode, Bettina S. John, Angie K. Wolfgang, Fernando A. Escobedo, Itai Cohen, and Chekesha M. Liddell

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New Mechanism for Nonlocality from String Theory: UV-IR Quantum entanglement and its imprints on the CMB, Gregory Minton '08 and Vatche Sahakian

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Designs and Optical Tests of Thermal Links for an Optical Refrigerator, John Parker, David Mar, Steven Von der Porten, John Hankinson, Kevin Byram, Chris Lee, Kai Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein

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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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An Update on Cost and Scale-Up Factors, International Inflation and Location Factors, Donald S. Remer, Steve Lin '06, Nancy Yu '07, and Karen Hsin '06

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The Cost of Expression of Escherichia coli lac Operon Proteins Is in the Process, Not in the Products, Daniel M. Stoebel, Antony M. Dean, and Daniel E. Dykhuizen

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Anti-silencing: Overcoming H-NS-mediated Repression of Transcription in Gram-negative Enteric Bacteria, Daniel M. Stoebel, Andrew Free, and Charles J. Dorman

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Constructing Diabatic States from Adiabatic States: Extending Generalized Mulliken–Hush to Multiple Charge Centers with Boys Localization, Joseph E. Subotnik, Robert J. Cave, Sina Yeganeh, and Mark A. Ratner

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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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Teaching Organic Synthesis: A Comparative Case Study Approach, David A. Vosburg

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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.

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Evolutionarily conserved thermal biology across continents: The North American lizard Plestiodon gilberti (Scincidae) compared to Asian Plestiodon, Mina K. Youssef, Stephen C. Adolph, and Jonathan Q. Richmond

Submissions from 2007

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Is a Basketball Free-throw Sequence Nonrandom? A Group Exercise for Undergraduate Statistics Students, Stephen C. Adolph

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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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Behavioural Plasticity in an Ecological Generalist: Microhabitat Use by Western Fence Lizards, Dee A. Asbury and Stephen C. Adolph

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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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Testing the Persistence of Phenotypic Plasticity After Incubation in the Western Fence Lizard, Sceloporus Occidentalis, Christine R. Buckley, Maddalena Jackson, Mina Youssef, Duncan J. Irschick, and Stephen C. Adolph

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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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Estimating Fundamental Frequencies of Tall Buildings, Clive L. Dym and Harry E. Williams

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Exploring Physical Intuition in Elementary Pressure Vessels, Clive L. Dym and Harry E. Williams

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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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Motion-Sensitive 3-D Optical Coherence Microscope Operating at 1300 nm for the Visualization of Early Frog Development, Barbara M. Hoeling, Stephanie S. Feldman, Daniel T. Strenge, Aaron Bernard, Emily R. Hogan, Daniel C. Petersen, Scott E. Fraser, Yun Kee, J. Michael Tyszka, and Richard C. Haskell

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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