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Submissions from 2016

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Greater Number of Larger Pieces: A Strategy to Promote Prospective Teachers’ Fraction Number Sense Development, Dana Olanoff, Ziv Feldman, Rachael M. Welder, Jennifer M. Tobias, Eva Thanheiser, and Amy F. Hillen

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Associations Between Performance on an Abbreviated CogState Battery, Other Measures of Cognitive Function, and Biomarkers in People at Risk for Alzheimer's Disease, Annie M. Racine, Lindsay R. Clark, Sara C. Berman, Rebecca L. Koscik, Kimberly D. Mueller, Derek Norton, Christopher R. Nicholas, Kaj Blennow, Henrik Zetterberg, Bruno M. Jedynak, Murat Bilgel, Cynthia M. Carlsson, Bradley T. Christian, Sanjay Asthana, and Sterling C. Johnson

MCI Status, Amyloid and Tau Biomarkers, and Composite Cognitive Impairment Scores are Associated with Cogstate Performance in the Wisconsin Registry for Alzheimer's Prevention, Annie M. Racine, Rebecca L. Koscik, Lindsay R. Clark, Kimberly D. Mueller, Sara Elizabeth Berman, Christopher R. Nicholas, Sanjay Asthana, Kaj Blennow, Henrik Zetterberg, Bruno Jedynak, Murat Bilgel, Bradley T. Christian, Cynthia M. Carlsson, and Sterling C. Johnson

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The Language of Professional Development Leaders, Andrew Riffel, Kathleen Mary Melhuish, and Eva Thanheiser

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Cycle Structures of Orthomorphisms Extending Partial Orthomorphisms of Boolean Groups, Nichole Louise Schimanski and John S. Caughman IV

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An Ensemble Approach to Weak-Constraint Four-Dimensional Variational Data Assimilation, Jeremy A. Shaw and Dacian Daescu

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Tridiagonal Matrices and Boundary Conditions, J. J. P. Veerman and David K. Hammond

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Full State Revivals in Linearly Coupled Chains with Commensurate Eigenspectra, J. J. P. Veerman and Jovan Petrovic

Automated Cerebellar Lobule Segmentation with Application to Cerebellar Structural Analysis in Cerebellar Disease, Zhen Yang, Chuyang Ye, John A. Bogovic, Bruno Jedynak, Sarah H. Ying, and Jerry L. Prince

Submissions from 2015

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On a Convex Set with Nondifferentiable Metric Projection, Shyan S. Akmal, Nguyen Mau Nam, and J. J. P. Veerman

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Monomials and Basin Cylinders for Network Dynamics, Daniel Austin and Ian H. Dinwoodie

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On the Coupling of DPG and BEM, Thomas Führer, Norbert Heuer, and Michael Karkulik

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Robust Estimates for hp-Adaptive Approximations of Non-Self-Adjoint Eigenvalue Problems, Stefano Giani, Luka Grubišić, Agnieszka Międlar, and Jeffrey S. Ovall

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A Tent Pitching Scheme Motivated by Friedrichs theory, Jay Gopalakrishnan, Peter Monk, and Paulina Sepulveda

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Dynamics of Locally Coupled Oscillators with Next-Nearest-Neighbor Interaction, J. Herbrych, A. G. Chazirakis, N. Christakis, and J. J. P. Veerman

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Transients of Platoons with Asymmetric and Different Laplacians, Ivo Herman, Dan Martinec, and J. J. P. Veerman

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Stability of a Circular System With Multiple Asymmetric Laplacians, Ivo Herman, Dan Martinec, J. J. P. Veerman, and Michael Sebek

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On Stochastic Comparisons of Largest Order Statistics in the Scale Model, Subhash C. Kochar and Nuria Torrado

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Mathematical Model for Bone Mineralization, Svetlana V. Komarova, Lee Safranek, Jay Gopalakrishnan, Miao-jung Yvonne Ou, Marc D. McKee, Monzur Murshed, Frank Rauch, and Erica Zuhr

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A Posteriori Eigenvalue Error Estimation for the Schrödinger Operator with the Inverse Square Potential, Hengguang Li and Jeffrey S. Ovall

Statistical Model of OFDM and its Application in Nonlinearity Analysis of LTE-Advanced Systems, Xiao Li, Kwok-Wai Tam, and Fu Lo

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Body Sensations: Neurobiology, Learning to Feel, and Sensory Teamwork, Gin McCollum

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Geometric Approach to Convex Subdifferential Calculus, Boris S. Mordukhovich and Nguyen Mau Nam

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A Written Instrument for Assessing Students’ Units Coordination Structures, Anderson Norton, Steven Boyce, Nathan Phillips, Tessa Anwyll, Catherine Ulrich, and Jesse L. M. Wilkins

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Stochastic Comparisons of Weighted Sums of Arrangement Increasing Random Variables, Xiaoqing Pan, Min Yuan, and Subhash C. Kochar

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Periodic State Revivals in Commensurate Waveguide Arrays, Jovan Petrovic and J. J. P. Veerman

Submissions from 2014

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Convergence Rates of the DPG Method with Reduced Test Space Degree, Timaeus Bouma, Jay Gopalakrishnan, and Ammar Harb

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Prospective Elementary Mathematics Teacher Content Knowledge: An Introduction, Christine Browning, Eva Thanheiser, Alden Edson, Patrick M. Kimani, Dana Olanoff, Jennifer M. Tobias, and Ian Whitacre

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Transients in the Synchronization of Oscillator Arrays, Carlos E. Cantos and J. J. P. Veerman

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Conditional Tests on Basins of Attraction with Finite Fields, Ian H. Dinwoodie

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Vanishing Configurations in Network Dynamics with Asynchronous Updates, Ian H. Dinwoodie

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Exact Tests for Singular Network Data, Ian H. Dinwoodie and Kruti Pandya

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Continuously Defective Crystals with a Prescribed Defectiveness, Marek Elźanowski and Serge Preston

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Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation, Jay Gopalakrishnan, Ignacio Muga, and Nicole Olivares

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An Analysis of the Practical DPG Method, Jay Gopalakrishnan and Weifeng Qiu

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A Posteriori Estimates Using Auxiliary Subspace Techniques, Harri Hakula, Michael Neilan, and Jeffrey S. Ovall

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Regularity of Mediatrices in Surfaces, Pilar Herreros, Mario Ponce, and J. J. P. Veerman

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Nonsmooth Algorithms and Nesterov's Smoothing Technique for Generalized Fermat-Torricelli Problems, Nguyen Mau Nam, Nguyen Thai An, R. Blake Rector, and Jie Sun

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Prospective Elementary Mathematics Teacher Content Knowledge: What Do We Know, What Do We Not Know, and Where Do We Go?, Eva Thanheiser, Christine Browning, Alden Edson, Jane-Jane Lo, Ian Whitacre, Dana Olanoff, and Crystal Morton

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Mathematical Content Knowledge for Teaching Elementary Mathematics: A Focus on Whole-Number Concepts and Operations, Eva Thanheiser, Ian Whitacre, and George J. Roy

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Stochastic Order Relations Among Parallel Systems from Weibull Distributions, Nuria Torrado and Subhash C. Kochar

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On Rank Driven Dynamical Systems, J. J. P. Veerman and F. J. Prieto

Submissions from 2013

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Multigrid for an HDG Method, Bernardo Cockburn, O. Bubois, and Jay Gopalakrishnan

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Nonnegativity of Exact and Numerical Solutions of Some Chemotactic Models, Patrick De Leenheer, Jay Gopalakrishnan, and Erica Zuhr

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A Primal DPG Method Without a First-Order Reformulation, L. Demkowicz and Jay Gopalakrishnan

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Some New Applications of P-P Plots, Isha Dewan and Subhash C. Kochar

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On Continuously Defective Elastic Crystals, Marek Elźanowski and Serge Preston

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Supplementary Balance Laws for Cattaneo Heat Propagation, Serge Preston

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Building a Knowledge Base: Understanding Prospective Elementary Teachers’ Mathematical Content Knowledge, Eva Thanheiser, Christine Browning, Alden Edson, Signe Kastberg, and Jane-Jane Lo

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Stability of Large Flocks: an Example, J. J. P. Veerman and F. M. Tangerman

Submissions from 2012

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Well Conditioned Boundary Integral Equations for Two-Dimensional Sound-Hard Scattering Problems in Domains with Corners, Akash Anand, Jeffrey S. Ovall, and Catalin Turc

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Mixed Finite Element Approximation of the Vector Laplacian with Dirichlet Boundary Conditions, Douglas N. Arnold, Richard S. Falk, and Jay Gopalakrishnan

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Self-assembled nanoparticle antiglare coatings, Khalid Askar, Blayne M. Phillips, Xuan Dou, Juan Lopez, Carl Smith, Bin Jiang, and Peng Jiang

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A Locking-Free hp DPG Method for Linear Elasticity with Symmetric Stresses, Jamie Bramwell, Leszek Demkowicz, Jay Gopalakrishnan, and Weifeng Qiu

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Instability in a Generalized Keller–Segel model, Patrick De Leenheer, Jay Gopalakrishnan, and Erica Zuhr

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Wavenumber Explicit Analysis of a DPG Method for the Multidimensional Helmholtz Equation, Leszek Demkowicz, Jay Gopalakrishnan, Ignacio Muga, and Jeffrey Zitelli

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A Class of Discontinuous Petrov–Galerkin Methods. Part III: Adaptivity, Leszek Demkowicz, Jay Gopalakrishnan, and Antti H. Niemi

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Convergence Analysis of a Multigrid Algorithm for the Acoustic Single Layer Equation, Simon Gemmrich, Jay Gopalakrishnan, and Nilima Nigam

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Benchmark Results for Testing Adaptive Finite Element Eigenvalue Procedures II (Cluster Robust Eigenvector and Eigenvalue Estimates), Stefano Giani, Luka Grubisic, and Jeffrey S. Ovall

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Stochastic Comparisons of Order Statistics and Spacings: A Review, Subhash C. Kochar

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On the Skewness of Order Statistics with Applications, Subhash C. Kochar and Maochao Xu

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Some Unified Results on Comparing Linear Combinations of Independent Gamma Random Variables, Subhash C. Kochar and Maochao Xu

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Partial Expansion of a Lipschitz Domain and Some Applications, Weifeng Qiu and Jay Gopalakrishnan

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Supporting Implementation of the Common Core State Standards for Mathematics: Recommendations for Professional Development, Paola Sztajn, Karen A. Marrongelle, Peg Smith, and Bonnie L. Melton

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Understanding Multidigit Whole Numbers: The Role of Knowledge Components, Connections, and Context in Understanding Regrouping 3+-Digit Numbers, Eva Thanheiser

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Asymptotic Reliability Rheory of k-out-of-n Systems, Nuria Torrado and J. J. P. Veerman

Submissions from 2011

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Determination of the Electric Field Intensity and Space Charge Density Versus Height Prior to Triggered Lightning, Christopher J. Biagi, Martin A. Uman, Jay Gopalakrishnan, J. D. Hill, Vladimir A. Rakov, T. Ngin, and Douglas M. Jordan

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Analysis of HDG Methods for Stokes Flow, Bernardo Cockburn, Jay Gopalakrishnan, Ngoc Cuong Nguyen, Jaume Peraire, and Francisco-Javier Sayas

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Analysis of the DPG Method for the Poisson Equation, Leszek Demkowicz and Jay Gopalakrishnan

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Polynomial Extension Operators. Part III, Leszek Demkowicz, Jay Gopalakrishnan, and Joachim Schöberl

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Reliable A-Posteriori Error Estimators for hp-Adaptive Finite Element Approximations of Eigenvalue/lEigenvector Problems, Stefano Giani, Luka Grubisic, and Jeffrey S. Ovall

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A Second Elasticity Element Using the Matrix Bubble, Jay Gopalakrishnan and Johnny Guzmán

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Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity, Jay Gopalakrishnan and Johnny Guzmán

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Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations, Jay Gopalakrishnan and Minah Oh

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A Review on Convolutions of Gamma Random Variables, Baha-Eldin Khaledi and Subhash C. Kochar

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Biomimetic broadband antireflection gratings on solar-grade multicrystalline silicon wafers, Blayne M. Phillips, Peng Jiang, and Bin Jiang

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Balance Systems and the Variational Bicomplex, Serge Preston

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Ensemble Methods for Dynamic Data Assimilation of Chemical Observations in Atmospheric Models, Adrian Sandu, Emil Constantinescu, Gregory R. Carmichael, Tianfeng Chai, Dacian Daescu, and John H. Seinfeld

Submissions from 2010

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Hybridization and Postprocessing Techniques for Mixed Eigenfunctions, Bernardo Cockburn, Jay Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, and Jaume Peraire

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Multigrid in a Weighted Space Arising from Axisymmetric Electromagnetics, Dylan M. Copeland, Jay Gopalakrishnan, and Minah Oh

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A Class of Discontinuous Petrov–Galerkin Methods. II. Optimal Test Functions, Leszek Demkowicz and Jay Gopalakrishnan

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A Class of Discontinuous Petrov–Galerkin Methods. Part I: The Transport Equation, Leszek Demkowicz and Jay Gopalakrishnan

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On the Integrability of Orthogonal Distributions in Poisson Manifolds, Daniel Fish and Serge Preston

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A Projection-Based Error Analysis of HDG Methods, Jay Gopalakrishnan, Bernardo Cockburn, and Francisco-Javier Sayas

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Effect of Network Structure on the Stability Margin of Large Vehicle with Distributed Control, He Hao, Prabir Barooah, and J. J. P. Veerman

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Phase-Linking and the Perceived Motion during Off-Vertical Axis Rotation, Jan Holly, Scott Wood, and Gin McCollum

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On Residual Lifetimes of k-out-of-n Systems With Nonidentical Components, Subhash C. Kochar and Maochao Xu

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Symmetries of the Central Vestibular System: Forming Movements for Gravity and a Three-Dimensional World, Gin McCollum and Douglas Hanes

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Supplementary Balance Laws and the Entropy Principle, Serge Preston

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Material Uniformity and the Concept of the Stress Space, Serge Preston and Marek Elźanowski

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Investigating Further Preservice Teachers’ Conceptions of Multidigit Whole Numbers: Refining a Framework, Eva Thanheiser

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Developing Mathematical Content Knowledge for Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, and Gina Garza-Kling

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Symmetry and Stability of Homogeneous Flocks, J. J. P. Veerman

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A Class of Discontinuous Petrov–Galerkin Methods. Part IV: The Optimal Test Norm and Time-Harmonic Wave Propagation in 1D., Jeffrey Zitelli, Leszek Demkowicz, Jay Gopalakrishnan, D. Pardo, and V. M. Calo

Submissions from 2009

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The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow, Bernardo Cockburn and Jay Gopalakrishnan

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A New Elasticity Element Made for Enforcing Weak Stress Symmetry, Bernardo Cockburn, Jay Gopalakrishnan, and Johnny Guzmán

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan, and Raytcho Lazarov

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Polynomial Extension Operators. Part II, Leszek Demkowicz, Jay Gopalakrishnan, and Joachim Schöberl

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Variational Theory of Balance Systems, Serge Preston

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Large-scale Assembly of Periodic Nanostructures with Metastable Square Lattices, Chih-Hung Sun, Wei-Lun Min, Nicholas C. Linn, Peng Jiang, and Bin Jiang