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Submissions from 2024

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Proof of the Kresch-Tamvakis Conjecture, John Caughman and Taiyo S. Terada

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Localized eigenvectors on metric graphs, H. Kravitz; Moysey Brio; and J G, Caputo

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Revisiting Rockafellar’s Theorem on Relative Interiors of Convex Graphs with Applications to Convex Generalized Differentiation, Boris S. Mordukhovich, Nguyen Mau Nam, Dang Van Cuong, and G. Sandine

Submissions from 2023

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Longitudinal changes in Alzheimer’s-related plasma biomarkers and brain amyloid, Murat Bilgel, Abhay Moghekar, Henrik Zetterberg, Bruno Jedynak, and multiple additional authors

Quantum Theory Only Makes Sense in Lazare Carnot's Participatory Engineering Thermodynamics, a Development of Leibniz's Dynamics, Terry Bristol

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Area, perimeter, height, and width of rectangle visibility graphs, John Caughman, Charles L. Dunn, Joshua Laison, Nancy Ann Neudauer, and Colin L. Starr

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Estimating Ocean Observation Impacts on Coupled Atmosphere-Ocean Models Using Ensemble Forecast Sensitivity to Observation (EFSO), Chu-Chun Chang, Tse-Chun Chen, Eugenia Kalnay, Cheng Da, and Safa Mote

Extending Bootstrap AMG for Clustering of Attributed Graphs, Pasqua D'Ambra, Panayot S. Vassilevski, and Luisa Cutillo

Comparison of Gini Indices Using Sequential Approach: Application to the US Small Business Administration Data, Francis Bilson Darku, Dorcas Ofori-Boateng, and Bhargab Chattopadhyay

Iterative Subregion Correction Preconditioners with Adaptive Tolerance for Problems with Geometrically Localized Stiffness, Michael Franco, Per-Olof Persson, and Will Pazner

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Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling, Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer, and Joachim Schöberl

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Stability of Structure-Aware Taylor Methods for Tents, Jay Gopalakrishnan and Zheng Sun

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Parallel Element-Based Algebraic Multigrid for H (Curl) And H (Div) Problems Using the Parelag Library, Delyan Z. Kalchev, Panayot S. Vassilevski, and Umberto Villa

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Dependence Among Order Statistics for time-transformed exponential models, Subhash C. Kochar and Fabio Spizzichino

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Dependence Among Order Statistics for Time-transformed Exponential Models, Subhash C. Kochar and Fabio Spizzichino

Relationships Between Polyhedral Convex Sets and Generalized Polyhedral Convex Sets, Nguyen Ngoc Luan, Nguyen Mau Nam, Nguyen Nang Thieu, and Nguyen Dong Yen

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End-to-End GPU Acceleration of low-order-refined preconditioning for high-order finite element discretizations, Will Pazner, Tzanio Kolev, and Jean-Sylvain Camier

High-Density Optical Interconnects Based on Self-Imaging in Coupled Waveguide Arrays, Jovan Petrovic, J. Krsic, A. Maluckov, and J.J.P. Veerman

Multilevel-In-Width Training for Deep Neural Network Regression, Colin Ponce, Ruipeng Li, Christina Mao, and Panayot Vassilevski

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What is the Mathematics in Mathematics Education?, Eva Thanheiser

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Teaching Routines and Student-Centered Mathematics Instruction: The Essential Role of Conferring to Understand Student Thinking and Reasoning, Eva Thanheiser and Kathleen Melhuish

Geodesics on Regular Constant Distance Surfaces, J. J. P. Veerman

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Chemical Reaction Networks in a Laplacian Framework, J.J.P. Veerman, T. Whalen-Wagner, and Ewan Kummel

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A Nested Semiparametric Method for Case-control study with missingness, Ge Zhao, Yanyuan Ma, Jill Schnall Hasler, Scott Damrauer, Michael Levin, and Jinbo Chen

Submissions from 2022

Solving a Continuous Multifacility Location Problem by DC Algorithms, Anuj Bajaj, Boris S. Mordukhovich, Mau Nam Nguyen, and Tuyen Tran

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Multi-Method Investigation of Factors Influencing Amyloid Onset and Impairment in Three Cohorts, Tobey J. Betthauser, Murat Bilgel, Rebecca L. Koscik, Bruno Jedynak, Yang An, Kristina A. Kellett, Abhay Moghekar, Erin M. Jonaitis, Charles K. Stone, and multiple additional authors

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A One-dimensional Field Dislocation Mechanics Model Using Discontinuous Galerkin Method, Ja'Nya Breeden, Dow Drake, Jay Gopalakrishnan, and Saurabh Puri

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The Average Number OF Divisors in Certain Arithmetic Sequences, Liubomir Chiriac

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The Trace of T2 Takes No Repeated Values, Liubomir Chiriac and Andrei Jorza

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Summing Hecke Eigenvalues over Polynomials, Liubomir Chiriac and Liyang Yang

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Fenchel-Rockafellar Theorem in Infinite Dimensions via Generalized Relative Interiors, Dang Van Cuong, Mau Nam Nguyen, B. S. Mordukhovich, and G. Sandine

Generalized Differentiation and Duality in Infinite Dimensions Under Polyhedral Convexity, D. Cuong V, B. S. Mordukhovich, N. M. Nam, and G. Sandine

An Fso-Based Optimization Framework for Improved Observation Performance: Theoretical Formulation and Experiments with NAVDAS-AR/NAVGEM, Dacian N. Daescu and Rolf H. Langland

Korn's Inequality and Eigenproblems for the Lame Operator, Sebastian A. Dominguez-Rivera, Nilima Nigam, and Jeffrey S. Ovall

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Geodesic Bicombings on Some Hyperspaces, Logan S. Fox

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Periodic Points of Polynomials over Finite Fields, Derek Garton

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Computing Leaky Modes of Optical Fibers Using a FEAST Algorithm for Polynomial Eigenproblems, Jay Gopalakrishnan, B. Q. Parker, and Pieter Vandenberge

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Dependence Comparisons of Order Statistics in the Proportional Hazards Model, Subhash C. Kochar

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Stochastic Comparisons with Applications: in Order Statistics and Spacings, Subhash C. Kochar

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Learning Nonparametric Ordinary Differential Equations: Application to Sparse and Noisy Data, Kamel Lahouel, Michael Wells, David Lovitz, Victor Rielly, Ethan Lew, and Bruno Jedynak

How Undergraduate Students Think About Summation (sigma) Notation, Sean P. Larsen, Steve Strand, and Kristen Vroom

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An Aggregation-Based Nonlinear Multigrid Solver for Two-Phase Flow and Transport in Porous Media, Chak Shing Lee, Francois Hamon, Nicola Castelletto, Panayot S. Vassilevski, and Joshua A. White

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The Efficacy of Research-Based "Mathematics for All" Professional, Kathleen Melhuish, Eva P. Thanheiser, Alexander White, Brenda Rosencrans, J. Michael Shaughnessy, Linda Foreman, Andrew Riffel, and Layla Guyot

Tension Between Objectivism and Constructivism in Organizing and Enacting Student Learning in Online STEM Education, Diana L. Moss, Claudia M. Bertolone-Smith, Steven Boyce, Beth L. MacDonald, Jeffrey A. Grabhorn, and Christopher Roman

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Topological Anomaly Detection in Dynamic Multilayer Blockchain Networks, Dorcas Ofori-Boateng, I. Segovia Dominguez, C. Akcora, M. Kantarcioglu, and Y. R. Gel

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Quadrature for Implicitly-Defined Finite Element Functions on Curvilinear Polygons, Jeffrey S. Ovall and Samuel E. Reynolds

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An Algorithm for Identifying Eigenvectors Exhibiting Strong Spatial Localization, Jeffrey S. Ovall and Lisa Zurk

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Canonical Quantile Regression, Stephen Portnoy

Linearity of Unbiased Linear Model Estimators, Stephen Portnoy

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Equity & Social Justice in Mathematics Education with Eva Thanheiser, Eva Thanheiser

Submissions from 2021

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Stability Conditions for Coupled Autonomous Vehicles Formations, Pablo Baldivieso and J. J. P. Veerman

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Effects of Progesterone Concentrations and Follicular Wave During Growth of the Ovulatory Follicle on Conceptus and Endometrial Transcriptome in Dairy Cows, R S. Bisinotto, E S. Ribeiro, L F. Greco, Daniel Taylor-Rodríguez, A D. Ealy, H Ayres, F S. Lima, N Martinez, W W. Thatcher, and J E P Santos

Notes on M-Estimation in Exponential Signal Models, Shu Ding, Yuehua Wu, and Kwok-Wai Tam

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Boolean Network Control with Ideals, Ian H. Dinwoodie

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Convergence Analysis of Some Tent-Based Schemes for Linear Hyperbolic Systems, Dow Drake, Jay Gopalakrishnan, Joachim Schöberl, and Christoph Wintersteiger

Where Calculus and Engineering Converge: an Analysis of Curricular Change in Calculus for Engineers, Brittney Marie Ellis, Sean Larsen, Matthew Voigt, and Kristen Vroom

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Geometric Characterization of Continuously Defective Elastic Crystals, Marek Z. Elźanowski

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Torsion and Curvature in Continuously Defective Solid Crystals, Marek Z. Elźanowski

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Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo, Hillary R. Fairbanks, Umberto E. Villa, and Panayot S. Vassilevski

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One-Sided Derivative of Distance to a Compact Set, Logan S. Fox, Peter Oberly, and J. J. P. Veerman

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Simulations of Single- and Two-Tone Tm-doped Optical Fiber Laser Amplifiers, Tathagata Goswami, J. Grosek, and Jay Gopalakrishnan

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Probability Axioms and Set Theory Paradoxes, Ari Herman and John Caughman

Structured Layer Surface Segmentation for Retina OCT Using Fully Convolutional Regression Networks., Yufan He, Aaron Carass, Yihao Liu, Bruno M. Jedynak, Sharon D. Solomon, Shiv Saidha, Peter A. Calabresi, and Jerry L. Prince

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Linear Nearest Neighbor Flocks with All Distinct Agents, R. G. Lyons and J. J. P. Veerman

Revealing Students' Stories As They Construct and Use a Statistical Model in Tinkerplots to Conduct a Randomization Test for Comparing Two Groups, Jennifer Noll, Dana Kirin, Kit Clement, and Jason Dolor

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Application of Topological Data Analysis to Multi-Resolution Matching of Aerosol Optical Depth Maps, Dorcas Ofori-Boateng, Huikyo Lee, Krzysztof M. Gorski, Michael J. Garay, and Yulia R. Gel

Calling a Taxi(cab): Transforming Ideas of Congruence, Priya V. Prasad and Steven Boyce

Response to Grannis FW. Current Controversies in Cardiothoracic Imaging Overdiagnosis at Lung Cancer Screening-No So Bad After All-Counterpoint, Jerome M. Reich and Jong Kim

Regularized Semi-Nonnegative Matrix Factorization Using L2,1-Norm for Data Compression, Anthony Rhodes and Bin Jiang

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Networking Frameworks: a Method for Analyzing the Complexities of Classroom Cultures Focusing on Justifying, Eva Thanheiser, Kathleen Melhuish, Amanda Sugimoto, Brenda Rosencrans, and Ruth Heaton

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Five Ps (Policies, Practices, Power structures, Places; and People): A Framework to Analyze Systemic Inequalities, Eva Thanheiser, Lisa Weasel, Idowu Ajibade, Larry Martinez, and Gina Greco

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