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Submissions from 2021

Statistics of a Family of Piecewise Linear Maps, J. J. P. Veerman, P. J. Oberly, and L. S. Fox

Submissions from 2020

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Some New Results on Stochastic Comparisons of Coherent Systems Using Signatures, Ebrahim Amini-Seresht, Baha-Eldin Khaledi, and Subhash C. Kochar

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Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation, Andrew T. Barker, Stephen V. Gelever, Chak Shing Lee, Sarah Osborn, and Panayot S. Vassilevski

Cauchy Distributions for the Integrable Standard Map, Anastasios Bountis, J. J. P. Veerman, and Franco Vivaldi

Relating Students' Units Coordinating and Calculus Readiness, Steven Boyce, Jeffrey A. Grabhorn, and Cameron Byerley

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The Cycle Structure of Unicritical Polynomials, Andrew Bridy and Derek Garton

Eigenvalue Problems for Exponential-Type Kernels, Difeng Cai and Panayot S. Vassilevski

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Newton Polygons of Hecke Operators, Liubomir Chiriac and Andrei Jorza

Algebraic Core and Convex Calculus Without Topology, Dang Van Cuong, Boris S. Mordukhovich, Mau Nam Nguyen, and Addison Cartmell

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Convex Analysis of Minimal Time and Signed Minimal Time Functions, D. V. Cuong, B. S. Mordukhovich, Mau Nam Nguyen, and M. L. Wells

Simulation of Optical Fiber Amplifier Gain Using Equivalent Short Fibers, Dow Drake, Jay Gopalakrishnan, Tathagata Goswami, and J. Grosek

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Estimating Posterior Quantity of Interest Expectations in a Multilevel Scalable Framework, Hillary R. Fairbanks, Sarah Osborn, and Panayot S. Vassilevski

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A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques, Stefano Giani, Luka Grubišić, Harri Hakula, and Jeffrey S. Ovall

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A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry, Jay Gopalakrishnan, Philip L. Lederer, and Joachim Schoeberl

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Structure Aware Runge–Kutta Time Stepping for Spacetime Tents, Jay Gopalakrishnan, Joachim Schöberl, and Christoph Wintersteiger

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Predicting Densities and Elastic Moduli of SiO2-based Glasses by Machine Learning, Yong-Jie Hu, Ge Zhao, MingFei Zhang, Bin Bin, Tyler Del Rose, Qian Zhao, Qan Zu, Yang Chen, Xuekun Sun, Maarten de Jong, and multiple additional authors

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Nonlinear Multigrid Based on Local Spectral Coarsening for Heterogeneous Diffusion Problems, Chak Shing Lee, Francois Hamon, Nicola Castelletto, Panayot S. Vassilevski, and Joshua A. White

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An Essay on Proof, Conviction, and Explanation: Multiple Representation Systems in Combinatorics, Elise Nicole Lockwood, John Caughman, and Keith Weber

An Enhanced Finite Difference Time Domain Method for Two Dimensional Maxwell's Equations, Timothy Meagher, Bin Jiang, and Peng Jiang

Group Theory Students' Perceptions of Binary Operation, Kathleen Mary Melhuish, Brittney Marie Ellis, and Michael D. Hicks

A Bayesian Nonparametric Testing Procedure for Paired Samples, Luz Adriana Pereira, Daniel Taylor-Rodríguez, and Luis Gutierrez

The Valley Version of the Extended Delta Conjecture, Dun Qiu and Andrew Timothy Wilson

Multilevel Graph Embedding, Benjamin Quiring and Panayot S. Vassilevski

Evolving Order and Chaos: Comparing Particle Swarm Optimization and Genetic Algorithms for Global Coordination of Cellular Automata, Anthony D. Rhodes

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Numerical Results for Adaptive (negative norm) Constrained First Order System Least Squares Formulations, Andreas Schafelner and Panayot S. Vassilevski

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Supporting Novice Mathematics Teacher Educators Teaching Elementary Mathematics Content Courses for the First Time, Siobahn Suppa, Joseph DiNapoli, Eva Thanheiser, Jennifer M. Tobias, and Sheunghyun Yeo

Mathematics to Understand and Critique the World: Reconceiving Mathematics in a Mathematics Content Course for Elementary School Teachers, Eva Thanheiser and Amanda Sugimoto

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A Primer on Laplacian Dynamics in Directed Graphs, J. J. P. Veerman and R. Lyons

Submissions from 2019

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Trefftz Finite Elements on Curvilinear Polygons, Akash Anand, Jeffrey S. Ovall, Samuel E. Reynolds, and Steffen Weisser

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Stability Conditions for Coupled Oscillators in Linear Arrays, Pablo Enrique Baldivieso Blanco and J.J.P. Veerman

Developing an Active Approach to Chemistry-Based Group Theory, Anna Marie Bergman and Timothy A. French

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Predicting Time to Dementia Using a Quantitative Template of Disease Progression, Murat Bilgel and Bruno Jedynak

A Re-emergent Analysis of Early Algebraic Learning, Steven Boyce and Diana Moss

Maddie's Units Coordinating Across Contexts, Steven Boyce and Anderson Norton

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Active Learning in Computer-based College Algebra, Steven Boyce and Joyce O'Halloran

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On the Equality Case of the Ramanujan Conjecture for Hilbert Modular Forms, Liubomir Chiriac

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Comparing Hecke Coefficients of Automorphic Representations, Liubomir Chiriac and Andrei Jorza

Quasi-relative Interiors for Graphs of Convex Set-valued Mappings, Dang Van Cuong, Boris S. Mordukhovich, and Mau Nam Nguyen

Racial/Ethnic Differences in the Impact of Adverse Childhood Experiences on Posttraumatic Stress Disorder in a Nationally Representative Sample of Adolescents, Jennifer Elkins, Harold E. Briggs, Keva Miller, Irang Kim, Roberto Orellana, and Orion Mowbray

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A DC Programming Approach for Solving Multicast Network Design Problems via the Nesterov Smoothing Technique, Wondi Geremew, Mau Nam Nguyen, A. Semenov, V. Boginski, and E. Pasiliao

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Spectral Discretization Errors in Filtered Subspace Iteration, Jay Gopalakrishnan, Luka Grubišić, and Jeffrey S. Ovall

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Analysis of Feast Spectral Approximations Using the DPG Discretization, Jay Gopalakrishnan, Luka Grubišić, Jeffrey S. Ovall, and Benjamin Quanah Parker

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A Bayesian Nonparametric Multiple Testing Procedure for Comparing Several Treatments Against a Control, Luis Gutiérrez, Andrés Barrientos, Jorge González, and Daniel Taylor-Rodríguez

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Deep Learning Based Topology Guaranteed Surface and MME Segmentation of Multiple Sclerosis Subjects from Retinal OCT, Yufan He, Aaron Carass, Yihao Liu, Bruno Jedynak, Sharon D. Solomon, Shiv Saidha, Peter A. Calabresi, and Jerry L. Prince

A Supervised Learning Approach to Water Quality Parameter Prediction and Fault Detection, Kathleen Joslyn and John Lipor

Optimal Adaptive Sampling for Boundary Estimation with Mobile Sensors, Phillip J. Kearns, John J. Lipor, and Bruno M. Jedynak

A Computational Method for Earthquake Cycles within Anisotropic Media, Maricela Best Mckay and Brittany A. Erickson

The Student Discourse Observation Tool: Supporting Teachers in Noticing Justifying and Generalizing, Kathleen Mary Melhuish, Eva Thanheiser, and Joshua Fagan

Smoothing Techniques and Difference of Convex Functions Algorithms for Image Reconstructions, Mau Nam Nguyen, Le Thi Hoai An, Daniel Giles, and Thai An Nguyen

Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces, Mau Nguyen, Hung M. Phan, and Bingwu Wang

Characteristics of Precalculus Through Calculus 2 Programs: Insights From a National Census Survey, Chris Rasmussen, Naneh Apkarian, Jessica Ellis Hagman, Estrella Johnson, Sean Larsen, and David Bressoud

Current Controversies in Cardiothoracic Imaging Low-dose Computerized Tomographic Overdiagnosis of Lung Cancer is Substantial; Its Consequences are Underappreciated-Point, Jerome Reich and Jong Kim

Earlier Diagnosis Not Self-Evidently Beneficial: Natural History of Subcentimeter Lung Cancers, Jerome Reich and Jong Kim

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Family Math Night: Increasing Engagement in University Mathematics Courses for Prospective Teachers, Eva Thanheiser

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Leveraging Variation of Historical Number Systems to Build Understanding of the Base-Ten Place-Value System, Eva Thanheiser and Kathleen Melhuish

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Navigating Around Convex Sets, J. J. P. Veerman

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Diffusion and Consensus on Weakly Connected Directed Graphs, J. J. P. Veerman and Ewan Kummel

Submissions from 2018

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On the Girth and Diameter of Generalized Johnson Graphs, Louis Anthony Agong, Carmen Amarra, John Caughman, Ari J. Herman, and Taiyo S. Terada

Self-Assembled Nanoparticle Antireflection Coatings on Geometrically Complex Optical Surfaces, Khalid Askar, Zhuxiao Gu, Calen J. Leverant, Jiamin Wang, Christopher Kim, Bin Jiang, and Peng Jiang

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Reconsidering the Foundations of Thermodynamics from an Engineering Perspective, Terry Bristol

Nonlinear Multigrid Solvers Exploiting AMGe Coarse Spaces with Approximation Properties, Max la Cour Christensen, Panayot S. Vassilevski, and Umberto Villa

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BootCMatch: A Software Package for Bootstrap AMG Based on GraphWeighted Matching, Pasqua D'Ambra, Salvatore Filipone, and Panayot S. Vassilevski

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Ideals, Big Varieties, and Dynamic Networks, Ian H. Dinwoodie

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Connection and Curvature in Crystals with Non-constant Dislocation Density, Marek Z. Elźanowski and Gareth P. Parry

An A Posteriori Estimator of Eigenvalue/Eigenvector Error for Penalty-Type Discontinuous Galerkin Methods, Stefano Giani, Luka Grubisic, Harri Hakula, and Jeffrey S. Ovall

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The Auxiliary Space Preconditioner for the de Rham Complex, Jay Gopalakrishnan, Martin Neumüller, and Panayot S. Vassilevski

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Dispersion Analysis of HDG Methods, Jay Gopalakrishnan, Manuel Solano, and Felipe Vargas

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Gaussian Processes with Context-Supported Priors for Active Object Localization, Bruno Jedynak

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Intensity Inhomogeneity Correction of SD-OCT Data Using Macular Flatspace, Andrew Lang, Aaron Carass, Bruno M. Jedynak, Sharon D. Solomon, Peter A. Calabresi, and Jerry L. Prince

Elementary School Teachers’ Noticing of Essential Mathematical Reasoning Forms: Justification and Generalization, Kathleen Mary Melhuish, Eva Thanheiser, and Layla Guyot

Refraining Replication Studies as Studies of Generalizability: A Response to Critiques of the Nature and Necessity of Replication, Kathleen Melhuish and Eva Thanheiser

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Clustering and Multifacility Location With Constraints via Distance Function Penalty Methods and DC Programming, Mau Nam Nguyen, Thai An Nguyen, Sam Reynolds, and Tuyen Tran

Students' Use of Narrative when Constructing Statistical Models in TinkerPlots, Jennifer Noll, Kit Clement, Jason Dolor, Dana Kirin, and Matthew Petersen

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High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains, Jeffrey S. Ovall and Samuel E. Reynolds

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A New Method for Multi-Bit and Qudit Transfer Based on Commensurate Waveguide Arrays, Jovan Petrovic and J. J. P. Veerman

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Cox Processes for Counting by Detection, Purnima Rajan, Yongming Ma, and Bruno Jedynak

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The What and Why of Whole Number Arithmetic: Foundational Ideas from History, Language and Societal Changes, Xu Hu Sun, Christine Chambris, Judy Sayers, Man Keung Siu, Jason Cooper, Jean-Luc Dorier, Sarah Inés González de Lora Sued, Eva Thanheiser, Nadia Azrou, Lynn McGarvey, Catherine Houdement, and Lisser Rye Ejersbo

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Spatial Factor Models for High-Dimensional and Large Spatial Data: An Application in Forest Variable Mapping, Daniel Taylor-Rodríguez, Andrew O. Finley, Abhirup Datta, Chad Babcock, Hans-Erik Andersen, Bruce D. Cook, Douglas C. Morton, and Sudipto Banerjee

Brief Report: The Effects of Preservice Elementary School Teachers' Accurate Self-Assessments in the Context of Whole Number, Eva Thanheiser

Spectra of Certain Large Tridiagonal Matrices, J. J. P. Veerman, David K. Hammond, and Pablo E. Baldivieso

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Space-Time Discretizations Using Constrained First-Order System Least Squares (CFOSLS), Kirill Voronin, Chak Shing Lee, Martin Neumüller, Paulina Sepulveda, and Panayot S. Vassilevski

Submissions from 2017

Scalable Parallel Self-Assembly of Nanoparticle Anti-Reflection Coatings, Khalid Askar, Jiamin Wang, Sin-Yen Leo, and Christopher Kim

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Shift-Symmetric Configurations in Two-Dimensional Cellular Automata: Irreversibility, Insolvability, and Enumeration, Peter Banda, John S. Caughman IV, Martin Cenek, and Christof Teuscher

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Some Remarks on Interpolation and Best Approximation, Randolph E. Bank and Jeffrey S. Ovall

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Dynamically Distinguishing Polynomials, Andrew Bridy and Derek Garton

Spanning Tree Decompositions of Complete Graphs Orthogonal to Rotational 1-Factorizations (Article), John Caughman, John Krussel, and James Mahoney

Reduced Test Spaces for DPG Methods Using Rectangular Elements, Dow Drake, Ammar Harb, and Jay Gopalakrishnan

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The Effect of Rare Variants in TREM2 and PLD3 on Longitudinal Cognitive Function in the Wisconsin Registry for Alzheimer's Prevention, Corinne D. Engelman, Burcu F. Darst, Murat Bilgel, Eva Vasiljevic, Rebecca L. Koscik, Bruno M. Jedynak, and Sterling C. Johnson

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A Finite Difference Method for Off-fault Plasticity throughout the Earthquake Cycle, Brittany A. Erickson, Eric M. Dunham, and Arash Khosravifar

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Connecting Teachers’ Buy-Into Professional Development with Classroom Habits and Practices, Joshua B. Fagan, Kathleen Mary Melhuish, Eva Thanheiser, Brenda Rosencrans, Layla Guyot, and Jodi I. Fasteen

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Reorganizing Algebraic Thinking: An Introduction to Dynamic System Modeling, Diana Fisher

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A Weighted Möbius Function, Derek Garton

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Filtered Subspace Iteration for Selfadjoint Operators, Jay Gopalakrishnan, Luka Grubišić, and Jeffrey S. Ovall

Bayesian Group Testing Under Sum Observations: A Parallelizable Two-Approximation for Entropy Loss, Weidong Han, Purnima Rajan, Peter I. Frazier, and Bruno Jedynak

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Equators Have at Most Countable Many Singularities with Bounded Total Angle, Pilar Herreros, Mario Ponce, and J.J.P. Veerman

Structural Cerebellar Correlates of Cognitive and Motor Dysfunctions in Cerebellar Degeneration, Kalyani Kansal, Zhen Yang, Ann M. Fishman, Harris I. Sair, Sarah H. Ying, Bruno Jedynak, Jerry L. Prince, and Chiadi U. Onyike

Minimizing Differences of Convex Functions with Applications to Facility Location and Clustering, Nguyen Mau Nam, R. Blake Rector, and Daniel Giles

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Variational Geometric Approach To Generalized Differential And Conjugate Calculi In Convex Analysis, Boris S. Mordukhovich, Nguyen Mau Nam, R. Blake Rector, and T. Tran

Extremality of Convex Sets with Some Applications, Boris S. Mordukhovich and Mau Nam Nguyen

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Subgradients of Minimal Time Functions without Calmness, Nguyen Mau Nam and Dang Van Cuong