School of Mathematical and Statistical Sciences Faculty Publications and Presentations

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

 

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Submissions from 2021

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Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation, Karen Yagdjian and Anahit Galstian

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A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors, Jiaopeng Yang, Zhaosheng Feng, and Zhengrong Liu

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Road network detection based on improved FLICM-MRF method using high resolution SAR images, Lamei Zhang, Chenwei Jiang, Bin Zou, and Zhijun Qiao

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Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space, Lei Zhang and Zhijun Qiao

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Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting, Zhihong Zhao, Yan Li, and Zhaosheng Feng

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A note on “traveling wave solutions of a nonlocal dispersal predator–prey model with spatiotemporal delay” [Z. Angew. Math. Phys. (2018) 69:146], Zhihong Zhao, Xiangkui Zhao, and Zhaosheng Feng

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Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model, Mingxuan Zhu, Lu Cao, Zaihong Jiang, and Zhijun Qiao

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A high-precision SAR echo simulation method based on FDTD, Bin Zou, Yanqiu Jia, and Zhijun Qiao

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Non-Archimedean Models of Morphogenesis, Wilson A. Zuniga-Galindo

Submissions from 2020

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LOCAL WELL-POSEDNESS AND BLOW-UP FOR A FAMILY OF U(1)-INVARIANT PEAKON EQUATIONS, Stephen C. Anco, Huijun He, and Zhijun Qiao

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Effect of Hydraulic Resistivity on a Weakly Nonlinear Thermal Flow in a Porous Layer, Dambaru Bhatta and Daniel N. Riahi

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Tilings by hexagonal prisms and embeddings into primitive cubic networks, Mikhail M. Bouniaev, Nikolay Dolbilin, and Mikhail I. Shtogrin

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Embedding parallelohedra into primitive cubic networks and structural automata description, Mikhail M. Bouniaev and Sergey V. Krivovichev

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Cartan’s Approach to Second Order Ordinary Differential Equations, Paul Bracken

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Classical and Quantum Integrability: A Formulation That Admits Quantum Chaos, Paul Bracken

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Delaunay surfaces expressed in terms of a Cartan moving frame, Paul Bracken

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Entropy in Quantum Mechanics and Applications to Nonequilibrium Thermodynamics, Paul Bracken

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Introductory Chapter: Dynamical Symmetries and Quantum Chaos, Paul Bracken

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OPTIMAL QUANTIZATION FOR DISCRETE DISTRIBUTIONS, Russel Cabasag, Samir Huq, Eric Mendoza, and Mrinal Kanti Roychowdhury

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Optimal control with MANF treatment of photoreceptor degeneration, Erika T. Camacho, Suzanne Lenhart, Luis A. Melara, M. Cristina Villalobos, and Stephen Wirkus

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SOLUTION OF THE RECONSTRUCTION-OF-THE-MEASURE PROBLEM FOR CANONICAL INVARIANT SUBSPACES, Raul E. Curto, Sang H. Lee, and Jasang Yoon

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Periodic triangulations of Zn, Mathieu Dutour Sikiric and Alexey Garber

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On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5, Mathieu Dutour Sikiric, Alexey Garber, and Alexander Magazinov

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Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime, Anahit Galstian and Karen Yagdjian

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The global existence of small self-interacting scalar field propagating in the contracting universe, Anahit Galstian and Karen Yagdjian

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CONCRETE POLYTOPES MAY NOT TILE THE SPACE, Alexey Garber and Igor Pak

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Association of Visceral Adipose Tissue and Subclinical Atherosclerosis in US-Born Mexican Americans but not First Generation Immigrants, Clarence Gill, Miryoung Lee, Kristina Vatcheva, Nahid Rianon, Beverly Smulevitz, David D. McPherson, Joseph B. Mccormick, Susan P. Fisher-Hoch, and Susan T. Laing

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Solving parametric radical equations with depth 2 rigorously using the restriction set method, Eleftherios Gkioulekas

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The role of the asymmetric Ekman dissipation term on the energetics of the two-layer quasi-geostrophic model, Eleftherios Gkioulekas

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Contact graphs of ball packings, Alexey Glazyrin

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Repeated Minimizers of $p$-Frame Energies, Alexey Glazyrin and Josiah Park

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Level 17 Ramanujan-Sato Series, Timothy Huber, Daniel Schultz, and Dongxi Ye

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Energy Spectrum of Linear Internal Wave Field in the Vicinity of Continental Slope, Ranis N. Ibragimov, Austin Biondi, Nathan Arndt, Maria Castillo, Guang Lin, Vesselin Vatchev, and Sheng Zhang

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Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles, Md Rafiul Islam, Angela Peace, Daniel Medina, and Tamer Oraby

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Racial inequality in the trauma of women: A disproportionate decade, Shawn Izadi, Niral Patel, Demba Fofana, Anghela Z. Paredes, Samuel K. Snyder, Annelyn Torres-Reveron, and Jeffrey Skubic

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Screening Potential Citrus Rootstocks for Phytophthora nicotianae Tolerance, Madhurababu Kunta, Sandy Chavez, Zenaida Viloria, Hilda S. del Rio, Madhavi Devanaboina, George Yanev, Jong-Won Park, and Eliezer S. Louzada

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Subnormality of Powers of Multivariable Weighted Shifts, Sang Hoon Lee, Woo Young Lee, and Jasang Yoon

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Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness, Michael R. Lindstrom and Andrea L. Bertozzi

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Functional Kernel Density Estimation: Point and Fourier Approaches to Time Series Anomaly Detection, Michael R. Lindstrom, Hyuntae Jung, and Denis Larocque

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Schrödinger-Poisson systems with singular potential and critical exponent, Senli Liu, Haibo Chen, and Zhaosheng Feng

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Surviving Mathematics, Nathalie M. Luna

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Homotopy groups and quantitative Sperner-type lemma, Oleg R. Musin

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Analysis of the Healthcare MERS-CoV Outbreak in King Abdulaziz Medical Center, Riyadh, Saudi Arabia, June–August 2015 Using a SEIR Ward Transmission Model, Tamer Oraby, Michael G. Tyshenko, Hanan H. Balkhy, Yasar Tasnif, Adriana Quiroz-Gaspar, Zeinab Mohamed, Ayesha Araya, Susie Elsaadany, Eman Al-Mazroa, Mohammed A. Alhelail, Yaseen M. Arabi, and Mustafa Al-Zoughool

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Drug delivery in catheterized arterial blood flow with atherosclerosis, Saulo Orizaga, Daniel N. Riahi, and Jose R. Soto

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HIV-Associated Neurocognitive Disorder (HAND) Biomarker Identification: Significance Analysis of Microarrays and Two Persuasive Approaches with Random Forest, Hansapani Rodrigo, Bryan Martinez, Roberto De La Garza, and Upal Roy

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Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems, Joseph Rosenblatt and Mrinal Kanti Roychowdhury

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Optimal Quantization Via Dynamics, Joseph Rosenblatt and Mrinal Kanti Roychowdhury

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The quantization of the standard triadic Cantor distribution, Mrinal Kanti Roychowdhury

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Topological Pressure and Fractal Dimensions of Cookie-Cutter-Like Sets, Mrinal Kanti Roychowdhury

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Quantization for a Mixture of Uniform Distributions Associated with Probability Vectors, Mrinal Kanti Roychowdhury and Wasiela Salinas

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Local Dimensions and Quantization Dimensions in Dynamical Systems, Mrinal Kanti Roychowdhury and Bilel Selmi

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A study on Quantization Dimension in complete metric spaces, Mrinal Kanti Roychowdhury and S. Verma

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Characterizing quantum physics students’ conceptual and procedural knowledge of the characteristic equation, Kaitlyn Stephens Serbin, Brigitte Johana Sánchez Robayo, Julia Victoria Truman, Kevin Lee Watson, and Megan Wawro

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Extreme events and emergency scales, Veniamin Smirnov, Zhuanzhuan Ma, and Dimitri Volchenkov

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A Single-center Comparison Using Exoskeleton Rehabilitation for Cerebrovascular Accidents and Traumatic Brain Injury in a Cohort of Hispanic Patients, Lisa R. Trevino, Kristina Vatcheva, Michael E. Auer, Angela Morales, Lama M. Abdurrahman, Sarajova Viswamitra, and Annelyn Torres-Reveron

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Mathematical modeling of nonlinear blood glucose-insulin dynamics with beta cells effect, Gabriela Urbina, Daniel N. Riahi, and Dambaru Bhatta

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Sex and age differences in prevalence and risk factors for prediabetes in Mexican-Americans, Kristina Vatcheva, Belinda M. Reininger, Susan P. Fisher-Hoch, and Joseph B. Mccormick

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Classification of radial solutions to equations related to Caffarelli–Kohn–Nirenberg inequalities, John Villavert

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Biomedical Freshman Research Initiative: A Course-based Undergraduate Research Experience at a Hispanic-Serving Institution, Natasha J. Vora, Kristina Vatcheva, Manuel G. Saldivar, Saraswathy Nair, Michael Lehker, and Sue Anne Chew

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A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions, Gangwei Wang, Kaitong Yang, Haicheng Gu, Fei Guan, and A. H. Kara

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Burnside chromatic polynomials of group-invariant graphs, Jacob A. White

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On Cohen-Macaulay Hopf monoids in species, Jacob A. White

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An effective method to obtain contour of fisheye images based on explicit level set method, Xuegang Wu and Zhijun Qiao

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Exponential and Hypoexponential Distributions: Some Characterizations, George Yanev

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On Arnold–Villasenor conjectures for characterizaing exponential distribution based on sample of size three, George Yanev

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Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities, Jie Yang, Haibo Chen, and Zhaosheng Feng

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Weighted Lp(⋅) -regularity for fully nonlinear parabolic equations, Junjie Zhang, Shenzhou Zheng, and Zhaosheng Feng

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Existence and stability of the doubly nonlinear anisotropic parabolic equation, Huashui Zhan and Zhaosheng Feng

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STABILITY OF ANISOTROPIC PARABOLIC EQUATIONS WITHOUT BOUNDARY CONDITIONS, Huashui Zhan and Zhaosheng Feng

Submissions from 2019

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Joint spectra of spherical Aluthge transforms of commuting n-tuples of Hilbert space operators, Chafiq Benhida, Raul E. Curto, Sang Hoon Lee, and Jasang Yoon

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The effect of Hispanic ethnicity on surgical outcomes: An analysis of the NSQIP database., Monica Betancourt-Garcia, Kristina Vatcheva, Prateek Gupta, Ricardo D. Martinez, Joseph B. McCormick, Susan P. Fisher-Hoch, and R. Armour Forse

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Diabetes and Its Effect on Abdominal Aortic Aneurysm Growth Rate in Hispanic Patients, Monica Betancourt-Garcia, Kristina Vatcheva, Amrit Thakur, Prateek Gupta, Eugene Postevka, Ricardo Martinez, and R. Armour Forse

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Metric geometry and the determination of the Bohmian quantum potential, Paul Bracken

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On a Class of Parameter Dependent Series Generalizing Euler’s Constant, Paul Bracken

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Properties of a class of mean dependent on a parameter, Paul Bracken

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Shape Equations for Two-Dimensional Manifolds through a Moving Frame Variational Approach, Paul Bracken

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The Generalized Weierstrass System in Three-Dimensional Euclidean Space, Paul Bracken

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High-order rogue waves of a long-wave–short-wave model of Newell type, Jungchao Chen, Liangyuan Chen, Bao-Feng Feng, and Ken-ichi Maruno

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Connections between Pre-service Teachers’ Mathematical Dispositions and Self-efficacy for Teaching Mathematics, Jasmine M. Cruz, Aaron T. Wilson, and Xiaohui Wang

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Investigation of Constant Volume and Constant Flux Initial Conditions on Bidensity Particle-Laden Slurries on an Incline, Dominic Diaz, Jessica Bojorque, Joshua Crasto, Margaret Koulikov, Tameez Lati, Aviva Prins, Andrew Shapiro, Clover Ye, David Arnold, and Michael R. Lindstrom

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On the regularity radius of Delone sets in R3, Nikolay Dolbilin, Alexey Garber, Undine Leopold, and Egon Schulte

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Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background, Bao-Feng Feng, Liming Ling, and Daisuke A. Takahashi

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Experimental Demonstration of Deterministic Chaos in a Waste Oil Biodiesel Semi-Industrial Furnace Combustion System, Shengyang Gao, Fashe Li, Qintai Xiao, Jianxin Xu, Huage Wang, and Hua Wang

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VORONOI CONJECTURE FOR FIVE-DIMENSIONAL PARALLELOHEDRA, Alexey Garber and Alexander Magazinov

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Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion, Qiaoyi Hu and Zhijun Qiao

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Attitudes toward Using and Teaching Confidence Intervals: A Latent Profile Analysis on Elementary Statistics Instructors, Hyung Won Kim, Woo Jin Kim, Aaron T. Wilson, and Ho Kyoung Ko

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Blocks in the category of finite-dimensional representations of principal W-algebra for Q(2), Elena Poletaeva

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“Diabesity” among Latinos: A Culturally Relevant Mathematics Activity by a Mathematics Teacher Candidate, Olga Ramirez and Cherie McCollough

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Optimal quantization for the Cantor distribution generated by infinite similutudes, Mrinal Kanti Roychowdhury

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Assessment of Gestational Diabetes Mellitus Outcomes for Hispanic Women Living in the Rio Grande Valley, Norma Somohano-Mendiola, Jane D. Champion, and Kristina Vatcheva

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Statin Prescription for Patients With Atherosclerotic Cardiovascular Disease from National Survey Data, Kristina Vatcheva, Vicente Aparicio, Ayesha Araya, Eduardo Gonzalez, and Susan T. Laing

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Fast equilibration dynamics of viscous particle-laden flow in an inclined channel, Jeffrey Wong, Michael R. Lindstrom, and Andrea L. Bertozzi

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Solutions of evolutionary equation based on the anisotropic variable exponent Sobolev space, Huashui Zhan and Zhaosheng Feng

Submissions from 2018

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On the origin of crystallinity: a lower bound for the regularity radius of Delone sets, Igor A. Baburin, Mikhail M. Bouniaev, Nikolay Dolbilin, Nikolay Yu. Erokhovets, Alexey Garber, Sergey V. Krivovichev, and Egon Schulte

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Linear Stability Analysis with Solution Patterns due to Varying Thermal Diffusivity for a Convective Flow in a Porous Medium, Dambaru Bhatta

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Solution of mathematical model for gas solubility using fractional-order Bhatti polynomials, Muhammad I. Bhatti, Paul Bracken, Nicholas Dimakis, and Armando Herrera

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The Local Theory for Regular Systems in the Context of t-Bonded Sets, Mikhail M. Bouniaev and Nikolay Dolbilin

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A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space, Paul Bracken

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Cartan frames and algebras with links to integrable systems differential equations and surfaces, Paul Bracken

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Using restrictions to accept or reject solutions of radical equations, Eleftherios Gkioulekas