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Submissions from 2008

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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

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

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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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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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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

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Blues for Gary: Design Abstractions for a Jazz Improvisation Assistant, Robert M. Keller, Martin Hunt '08, Stephen Jones '07, David Morrison '08, and Aaron Wolin '07

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Characterization of the Aminocarboxycyclopropane-Forming Enzyme CmaC, Wendy L. Kelly, Michael T. Boyne II, Ellen Yeh, David A. Vosburg, Danica P. Galonić, Neil L. Kelleher, and Christopher T. Walsh

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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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The Phylum Cnidaria: A Review of Phylogenetic Patterns and Diversity 300 Years After Linnaeus, Catherine S. McFadden, Marymegan Daly, Mercer R. Brugler, Paulyn Cartwright, Allen G. Collins, Michael N. Dawson, Daphne G. Fautin, Scott C. France, Dennis M. Opresko, Estefania Rodriguez, Sandra L. Romano, and Joel L. Stake

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Neuromechanics: An Integrative Approach for Understanding Motor Control, Kiisa Nishikawa, Andrew A. Biewener, Peter Aerts, Anna N. Ahn, Hillel J. Chiel, Monica A. Daley, Thomas L. Daniel, Robert J. Full, Melina E. Hale, Tyson L. Hedrick, A Kristopher Lappin, T Richard Nichols, Roger D. Quinn, Richard A. Satterlie, and Brett Szymik

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Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.

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Cost Estimating Certifications Offered by Professional Societies in the United States and Abroad, Donald S. Remer, Karen Ahle, Kevin Alley, John Silny, Karen Hsin, Elijah Kwitman, and Allison Hutchings

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Project and Engineering Management Certificates Offered by Professional Organizations, Donald S. Remer, Karen M. Ahle, Kevin J. Alley, John F. Silny, and Karen Hsin

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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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Causal Assessment in Small-N Policy Studies, Paul F. Steinberg

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Review of Analysis of Phylogenetics and Evolution with R by Emmanuel Paradis, Daniel M. Stoebel

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Review of Jewish Tradition and the Challenge of Darwinism, Geoffery Cantor and Marc Swetlitz, eds., Daniel M. Stoebel

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Control of Strong-Laser-Field Coupling to Electrons in Solid Targets with Wavelength-Scale Spheres, H. A. Sumeruk, S. Kneip, D. R. Symes, I. V. Churina, A. V. Belolipetski, Thomas D. Donnelly, and T. Ditmire

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Hot Electron and X-ray Production from Intense Laser Irradiation of Wavelength-Scale Polystyrene Spheres, H. A. Sumeruk, S. Kneip, D. R. Symes, I. V. Churina, A. V. Belolipetski, G. Dyer, J. Landry, G. Bansal, A. C. Bernstein, Thomas D. Donnelly, A. Karmakar, A. Pukhov, and T. Ditmire

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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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Using Permuted States of Validated Simulation to Analyze Conflict Rates in Optimistic Replication, An-I Andy Wang, Geoffrey H. Kuenning, and Peter Reiher

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PARAID: A Gear-shifting Power-aware RAID, Charles Weddle, Mathew Oldham, Jin Qian, An-I Andy Wang, Peter Reiher, and Geoffrey H. Kuenning

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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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Estimating Phenotypic Correlations: Correcting for Bias Due to Intraindividual Variability, Stephen C. Adolph and Johanna S. Hardin

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In Situ Muscle Power Differs Without Varying In Vitro Mechanical Properties in Two Insect Leg Muscles Innervated by the Same Motor Neuron, Anna N. Ahn, Kenneth Meijer, and Robert J. Full

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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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Tired of Fatigue? Factors Affecting the Force-Length Relationship of Muscle, Andrew A. Biewener and Anna N. Ahn

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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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Virtual Topologies for Multicasting with Multiple Originators in WDM Networks, Ian Ferrel '04, Adrian Mettler '04, Edward Miller '03, and Ran Libeskind-Hadas

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Transverse Priority Phase Sensitive Optical Coherence Tomography, Jeff Fingler, Jon Williams, Zahid Yaqoob, Changhuei Yang, Richard C. Haskell, and Scott E. Fraser

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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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Validation of Design Methods and Theories: Lessons from Medicine, Daniel D. Frey and Clive L. Dym

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Non-uniformly Sampled Double-TROSY hNcaNH Experiments for NMR Sequential Assignments of Large Proteins, Dominique P. Frueh, Zhen-Yu J. Sun, David A. Vosburg, Christopher T. Walsh, Jeffrey C. Hoch, and Gerhard Wagner

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Determination of all NOes in 1H–13C–Me-ILV-U−2H–15N Proteins with Two Time-Shared Experiments, Dominique P. Frueh, David A. Vosburg, Christopher T. Walsh, and Gerhard Wagner

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Residue Class Rings of Real-Analytic and Entire Functions, Marek Golasiński and Melvin Henriksen

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Office-based Optical Coherence Tomographic Imaging of Human Vocal Cords, Shuguang Guo, River Hutchison, Ryan P. Jackson, Anu Kohli, Tristan Sharp, Elizabeth J. Orwin, Richard C. Haskell, Zhongping Chen, and Brian J. F. Wong

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Optimal Therapy Regimens for Treatment-Resistant Mutations of HIV, Weiqing Gu and Helen Moore

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Role of Beat Noise in Limiting the Sensitivity of Optical Coherence Tomography, Richard C. Haskell, David Liao, Adam E. Pivonka, Tera L. Bell, Brendan R. Haberle, Barbara M. Hoeling, and Daniel C. Petersen

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The Local Gromov–Witten Invariants of Configurations of Rational Curves, Dagan Karp, Chiu-Chu Melissa Liu, and Marcos Mariño