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2023

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TRI-PLANE DIAGRAMS FOR SIMPLE SURFACES IN S4, , MANUEL ARAGÓN, ZACK DOOLEY, ALEXANDER GOLDMAN, YUCONG LEI, ISAIAH MARTINEZ, NICHOLAS MEYER, DEVON PETERS, SCOTT WARRANDER, Ana Wright, and Alex Zupan

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Pull-Push Method: A new approach to Edge-Isoperimetric Problems, Sergei L. Bezrukov, Nikola Kuzmanovski, and Jounglag Lim

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IDEMPOTENT COMPLETIONS OF EQUIVARIANT MATRIX FACTORIZATION CATEGORIES, MICHAEL K. BROWN and Mark E. Walker

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Listening for Common Ground in High School and Early Collegiate Mathematics, Gail Burrill, Henry Cohn, Yvonne Lai, Dev P. Sinha, Ji Y. Son, and Katherine F. Stevenson

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Formal conjugacy growth in graph products I, Laura Ciobanu,; Susan Hermiller; and Valentin Mercier

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A variational theory for integral functionals involving finite-horizon fractional gradients, Javier Cueto, Carolin Carolin, and Hidde Schönberger

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Theory of Invariant Manifold and Foliation and Uniqueness of Center Manifold Dynamics, Bo Deng

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Nash blowups of toric varieties in prime characteristic, Daniel Duarte, Jack Jeffries, and Luis Núñez-Betancourt

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When are the natural embeddings of classical invariant rings pure?, Melvin Hochster, Jack Jeffries, Vaibhav Pandey, and Anurag K. Singh

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BERNSTEIN-SATO THEORY FOR SINGULAR RINGS IN POSITIVE CHARACTERISTIC, JACK JACK, LUIS NÚÑEZ-BETANCOURT, and EAMON QUINLAN-GALLEGO

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Differentiating by prime numbers, Jack Jeffries

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Decomposition rate as an emergent property of optimal microbial foraging, Stefano Manzoni, Arjun Chakrawal, and Glenn Ledder

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EXTREMAL ABSORBING SETS IN LOW-DENSITY PARITY-CHECK CODES, Emily McMillon, Allison Beemer, and Christine A. Kelley

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Analysis of syndrome-based iterative decoder failure of QLDPC codes, Kirsten D. Morris, Tefjol Pllaha, and Christine A. Kelley

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Factors Influencing Instructors’ Adoption and Continued Use of Computing Science Technologies: A Case Study in the Context of Cell Collective, Changsoo Song, Resa M. Helikar, Wendy M. Smith, and Tomáš Helikar

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Computation of the basic reproduction numbers for reaction-diffusion epidemic models, Chayu Yang and Jin Wang

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Modeling and Analyzing Homogeneous Tumor Growth under Virotherapy, Chayu Yang and Jin Wang

2022

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Lefschetz properties of some codimension three Artinian Gorenstein algebras, Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino, Alexandra Seceleanu, and Joachim Yaméogo

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POLYNOMIAL GROWTH OF BETTI SEQUENCES OVER LOCAL RINGS, LUCHEZAR L. AVRAMOV, Alexandra Seceleanu, and ZHENG YANG

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Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity, José C. Bellido, Javier Cueto, and Carlos Mora-Corral

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Bounds on cohomological support varieties, Benjamin Briggs, Eloisa Grifo, and Josh Pollitz

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A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic, Alessandro De Stefani, Eloisa Grifo, and Jack Jeffries

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DUALITY FOR ASYMPTOTIC INVARIANTS OF GRADED FAMILIES, MICHAEL DIPASQUALE, THÁI THÀNH NGUYỄN, and Alexandra Seceleanu

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COMPUTING RATIONAL POWERS OF MONOMIAL IDEALS, PRATIK DONGRE, BENJAMIN DRABKIN, JOSIAH LIM, ETHAN PARTIDA, ETHAN ROY, DYLAN RUFF, Alexandra Seceleanu, and TINGTING TANG

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ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A STRUCTURE ACOUSTICS MODEL, BAOWEI FENG, YANQIU GUO, and Mohammad A. Rammaha

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Symbolic power containments in singular rings in positive characteristic, Eloísa Grifo, Linquan Ma, and Karl Schwede

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Low-gain integral control for a class of discrete-time Lur’e systems with applications to sampled-data control, Chris Guiver, Richard Rebarber, and Stuart Townley

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DIFFERENTIAL OPERATORS ON CLASSICAL INVARIANT RINGS DO NOT LIFT MODULO p, Jack Jeffries and ANURAG K. SINGH

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BRIDGE TRISECTIONS AND CLASSICAL KNOTTED SURFACE THEORY, JASON JOSEPH, JEFFREY MEIER, MAGGIE MILLER, and MILLER ZUPAN

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Many cliques in bounded-degree hypergraphs, Rachel Kirsch and J. Radcliffe

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Mentoring Undergraduate Research in Mathematical Modeling, Glenn Ledder

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Mentoring Undergraduate Research in Mathematical Modeling, Glenn Ledder

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LORENTZIAN POLYNOMIALS, HIGHER HESSIANS, AND THE HODGE-RIEMANN PROPERTY FOR CODIMENSION TWO GRADED ARTINIAN GORENSTEIN ALGEBRAS, Pedro Macias-Marques, Chris McDaniel, Alexandra Seceleanu, and Junzo Watanabe

2021

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LEVEL AND GORENSTEIN PROJECTIVE DIMENSION, Laila Awadalla and Thomas Marley

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Near-Optimal Learning of Tree-Structured Distributions by Chow-Liu, Arnab Bhattacharyya, Sutanu Gayen, Eric Price, and N. V. Vinodchandran

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Demailly's Conjecture and the Containment Problem, Sankhaneel Bisui, Eloisa Grifo, Huy Tài Hà, and Thái Thành Nguyên

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Chudnovsky's Conjecture and the stable Harbourne-Huneke containment, Sankhaneel Bisui, Eloísa Grifo, Huy Tài Hà, and Thái Thành Nguyên

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Lower bounds on Betti numbers, Adam Boocher and Eloisa Grifo

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LOWER BOUNDS ON BETTI NUMBERS, ADAM BOOCHER and Eloisa Grifo

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Constructing non-proxy small test modules for the complete intersection property, Benjamin Briggs, Eloísa Grifo, and Josh Pollitz

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THE SMOOTH 4-GENUS OF (THE REST OF) THE PRIME KNOTS THROUGH 12 CROSSINGS, Mark Brittenham and Susan Hermiller

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ON THE BOUNDED NEGATIVITY CONJECTURE AND SINGULAR PLANE CURVES, ALEXANDRU DIMCA, Brian Harbourne, and GABRIEL STICLARU

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SYMBOLIC REES ALGEBRAS, ELOÍSA GRIFO and Alexandra Seceleanu

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Symbolic Rees algebras, Eloísa Grifo and Alexandra Seceleanu

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Cohomological Blow Ups of Graded Artinian Gorenstein Algebras Along Surjective Maps, Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu, and Junzo Watanabe

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Modernization of Scienttific Mathematics Formula In Technology, Iwasan D. Kejawa Ed.D and Prof. Iwasan D. Kejawa Ed.D

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REGULARITY CRITERIA FOR THE KURAMOTO-SIVASHINSKY EQUATION IN DIMENSIONS TWO AND THREE, ADAM LARIOS, MOHAMMAD MAHABUBUR RAHMAN, and KAZUO YAMAZAKI

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THE PHASE TRANSITION OF DISCREPANCY IN RANDOM HYPERGRAPHS, CALUM MACRURY, TOMÁŠ MASARÍK, LEILANI PAI, and Xavier Perez Gimenez

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BERNSTEIN-SATO POLYNOMIALS IN COMMUTATIVE ALGEBRA, JOSEP ÀLVAREZ MONTANER, Jack Jeffries, and LUIS NÚÑEZ-BETANCOURT

2020

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Diagrams of ⋆-trisections, José Román Aranda and Jesse Moeller

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A stable version of Harbourne's Conjecture and the containment problem for space monomial curves, Eloísa Grifo

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Expected resurgence of ideals defining Gorenstein rings, Eloísa Grifo, Craig Huneke, and Vivek Mukundan

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EXPECTED RESURGENCE OF IDEALS DEFINING GORENSTEIN RINGS, ELOÍSA GRIFO, CRAIG HUNEKE, and VIVEK MUKUNDAN

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Expected resurgences and symbolic powers of ideals, Eloísa Grifo, Craig Huneke, and Vivek Mukundan

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CONVERGENCE OF APPROXIMATE SOLUTIONS TO NONLINEAR CAPUTO NABLA FRACTIONAL DIFFERENCE EQUATIONS WITH BOUNDARY CONDITIONS, Xiang Liu, Baoguo Jia, Scott Gensler, Lynn Erbe, and Allan Peterson

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STRUCTURE FOR REGULAR INCLUSIONS. II CARTAN ENVELOPES, PSEUDO-EXPECTATIONS AND TWISTS, David R. Pitts

2019

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INTERMEDIATE C∗-ALGEBRAS OF CARTAN EMBEDDINGS, Jonathan H. Brown, Ruy Exel, Adam H. Fuller, David R. Pitts, and Sarah A. Reznikoff

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Associated Primes and Syzygies of Linked Modules, Olgur Celikbas, Mohammad T. Dibaei, Mohsen Gheibi, Arash Sadeghi, and Ryo Takahaski

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Connectivity differences between Gulf War Illness (GWI) phenotypes during a test of attention, Tomas Clarke, Jessie Jamieson, Patrick Malone, Rakib U. Rayhan, Stuart Washington, John W. VanMeter, and James N. Baraniuk

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A “Rule-of-Five” Framework for Models and Modeling to Unify Mathematicians and Biologists and Improve Student Learning, C. Diaz Eaton, H. C. Highlander, K. D. Dahlquist, G. Ledder, M.D. LaMar, and R.C. Schugart

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Predicting impacts of chemicals from organisms to ecosystem service delivery: A case study of insecticide impacts on a freshwater lake, Nika Galic, Chris J. Salice, Bjorn Birnir, Randall J.F. Bruins, Virginie Ducrot, Henriette I. Jager, Andrew Kanarek, Roberto Pastorok, Richard Rebarber, Pernille Thorbek, and Valery E. Forbes

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Persistence metrics for a river population in a two-dimensional benthic-drift model, Yu Jin, Qihua Huang, Julia Blackburn, and Mark A. Lewis

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Determinants of Incidence and Hessian Matrices Arising From the Vector Space Lattice, Saeed Nasseh, Alexandra Seceleanu, and Junzo Watanabe

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A Doubly Nonlocal Laplace Operator and Its Connection to the Classical Laplacian, Petronela Radu and Kelseys Wells

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Intermediate cell states in epithelial-to-mesenchymal transition, Yutong Sha, Daniel Haensel, Guadalupe Gutierrez, Huijing Du, Xing Dai, and Qing Nie

2018

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Translation Theorems for the Fourier-Feynman Transform on the Product Function Space C2 a,b, [0,T], Seung Jun Chang, Jae Gil Choi, and David Skoug

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An Inverse Problem: Trappers Drove Hares to Eat Lynx, Bo Deng

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Modeling Association in Microbial Communities with Clique Loginear Models, Adrian Dobra, Camilo Valdes, Dragana Ajdic, Bertrand S. Clarke, and Jennifer Clarke

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CARTAN TRIPLES, Allan P. Donsig, Adam H. Fuller, and David R. Pitts

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Multiscale modeling of layer formation in epidermis, Huijing Du, Yangyang Wang, Daniel Haensel, Briana Lee, Xing Dai, and Qing Nie

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Predicting impacts of chemicals from organisms to ecosystem service delivery: A case study of endocrine disruptor effects on trout, Valery E. Forbes, Steve Railsback, Chiara Accolla, Bjorn Birnir, Randall J.F. Bruins, Virginie Ducrot, Nika Galic, Kristina Garber, Bret C. Harvey, Henriette I. Jager, Andrew Kanarek, Robert Pastorok, Richard Rebarber, Pernille Thorbek, and Chris J. Salice

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Existing and Regularity of Minimizers for Nonlocal Energy Functionals, Mikil D. Foss, Petronela Radu, and Cory Wright

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Examples of finite free complexes of small rank and small homology, Srikanth B. Iyengar and Mark E. Walker

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LOZENGE TILINGS OF A HALVED HEXAGON WITH AN ARRAY OF TRIANGLES REMOVED FROM THE BOUNDARY, Tri Lai

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Lozenge tilings of a halved hexagon with an array of triangles removed from the boundary, part II, Tri Lai

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Modeling craniofacial development reveals spatiotemporal constraints on robust patterning of the mandibular arch, Lina Meinecke, Praveer P. Sharma, Huijing Du, Lei Zhang, Qing Nie, and Thomas F. Schilling

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Diagnostic Effects of an Early Mastery Activity in College Algebra and Precalculus, Nathan Wakefield, Joe Champion, Jessalyn Bolkema, and Douglas Dailey

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Building Long-Term Support for Faculty through Graduate Student Instructor Professional Development, Nathan Wakefield, Karina Uhing, and Mitchell Hamidi

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Joint Asymptotics for Estimating the Fractal Indices of Bivariate Gaussian Processes, Yuzhen Zhou and Yimin Xiao

2017

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LOWER BOUNDS ON PROJECTIVE LEVELS OF COMPLEXES, Hannah Altmann, Eloisa Grifo, Jonathan Montano, William T. Sanders, and Thanh Vu

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Rainbow perfect matchings and Hamilton cycles in the random geometric graph, Deepak Bal, Patrick Bennett, Xavier Perez-Gimenez, and Pawel Pralat

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GEOMETRY OF THE WORD PROBLEM FOR 3-MANIFOLD GROUPS, Mark Brittenham, Susan Hermiller, and Tim Susse

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DETECTING FINITE FLAT DIMENSION OF MODULES VIA ITERATES OF THE FROBENIUS ENDOMORPHISM, Douglas J. Dailey, Srikanth B. Iyengar, and Thomas Marley

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VON NEUMANN ALGEBRAS AND EXTENSIONS OF INVERSE SEMIGROUPS, Allan P. Donsig, Adam H. Fuller, and David R. Pitts

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An Early Semester Mastery Activity and Intervention in First-Year Calculus, Allan P. Donsig and Nathan Wakefield

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A Framework for Predicting Impacts on Ecosystem Services From (Sub)Organismal Responses to Chemicals, Valery E. Forbes, Chris J. Salice, Bjorn Birnir, Randy J.F. Bruins, Peter Calow, Virginie Ducrot, Nika Galic, Kristina Garber, Bret C. Harvey, Henriette Jager, Andrew Kanarek, Robert Pastorok, Steve F. Railsback, Richard Rebarber, and Pernille Thorbek

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SINGLE POINT SESHADRI CONSTANTS ON RATIONAL SURFACES, Krishna Hanumanthu and Brian Harbourne

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No positive cone in a free product is regular, Susan Hermiller and Zoran Sunic

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Gene Expression Noise Enhances Robust Organization of the Early Mammalian Blastocyst, William R. Holmes, Nabora Soledad Reyes de Mochel, Qixuan Wang, Huijing Du, Tao Peng, Michael Chiang, Olivier Cinquin, Ken Cho, and Qing Nie

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A COMBINATORIAL APPROACH TO ROOT MULTIPLICITIES OF RANK 2 HYPERBOLIC KAC-MOODY ALGEBRAS, Seok-Jin Kang, Kyu-Hwan Lee, and Kyungyong Lee

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Perfect matchings of trimmed Aztec rectangles, Tri Lai

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BEYOND AZTEC CASTLES: TORIC CASCADES IN THE dP3 QUIVER, Tri Lai and Gregg Musiker

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Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations, Xiang Liu, Baoguo Jia, Lynn Erbe, and Allan Peterson

2016

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Comparing the Growth of the Prime Numbers to the Natural Numbers, Michael A. Brilleslyper, Nathan Wakefield, A. J. Wallerstein, and Bradley Warner

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MINIMIZING THE NUMBER OF INDEPENDENT SETS IN TRIANGLE-FREE REGULAR GRAPHS, Jonathan Cutler and J. Radcliffe

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Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions, Lynn Erbe, Christopher S. Goodrich, Baoguo Jia, and Allan C. Peterson

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Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions, Lynn Erbe, Christopher S. Goodrich, Baoguo Jia, and Allan C. Peterson

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Matched Metrics and Channels, Marcelo Firer and Judy L. Walker

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SIMPLE ADAPTIVE CONTROL FOR POSITIVE LINEAR SYSTEMS WITH APPLICATIONS TO PEST MANAGEMENT, Chris Guiver, Christina Edholm, Yu Jin, Markus Mueller, Jim Powell, Richard Rebarber, Brigitte Tenhumberg, and Stuart Townley

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CONJUGACY LANGUAGES IN GROUPS, Susan Hermiller, D. Holt, and S. Rees