Advances in Mathematics Research. Volume 20


Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT000000

“Advances in Mathematics Research” presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include using mathematical tessellation to model spherical particle packing structures; further results on fractional calculus for non-differentiable functions applications to z-transform and generalized functions; low earth orbit satellite constellations for local telecommunication and monitoring services; algorithm for autonomously calibrating reference flat of interferometer and residual influence of linear shift with two-flat method; dealing with non-significant interactions statuses between treatments by a suggested statistical approach; stochastic simultaneous perturbation as powerful method for state and parameter estimation in high dimensional systems; bounded trajectories of unstable piecewise linear systems and its applications; mathematical modeling for predicting battery lifetime through electrical models; and mathematical modeling of the lithium-ion battery lifetime using system identification theory.
(Imprint: Nova)



Table of Contents


Using Mathematical Tessellation to Model Spherical Particle Packing Structures
(Larysa Burtseva and Frank Werner, Engineering Institute of the Autonomous University of Baja California, Mexicali, Mexico, and others)

Further Results on Fractional Calculus for Non-Differentiable Functions Applications to Z-Transform and Generalized Functions
(Jumarie Guy, Department of Mathematics, University of Quebec at Montreal, Downtown Station, Montreal, Qc, Canada)

Low Earth Orbit Satellite Constellations for Local Telecommunication and Monitoring Services
(Mauro Pontani, University “La Sapienza”, Rome, Italy)

Algorithm for Autonomously Calibrating Reference Flat of Interferometer and Residual Influence of Linear Shift with Two-flat Method
(Ikumatsu Fujimoto, Okuwa Technical Research Center, Yamaguchi, Japan)

Dealing with Non-Significant Interactions Statuses between Treatments by a Suggested Statistical Approach
(Zakaria M. Sawan, Cotton Research Institute, Agricultural Research Center, Ministry of Agriculture and Land Reclamation, Giza, Egypt)

Stochastic Simultaneous Perturbation as Powerful Method for State and Parameter Estimation in High Dimensional Systems
(Hong Son Hoang and Remy Baraille, SHOM/HOM/REC, Toulouse, France)

Bounded Trajectories of Unstable Piecewise Linear Systems and its Applications
(L.J. Ontañón–García and E. Campos–Cantón, Coordinacíon Académica Región Altiplano Oeste, Universidad Autónoma de San Luis Potosí, Av. Insurgentes Esq. Himno Nacional, Salinas de Hidalgo, SLP, México, and others)

Mathematical Modeling for Predicting Battery Lifetime through Electrical Models
(Cleber M. D. Porciuncula, Airam Sausen, Paulo Sérgio Sausen, Master’s Program in Mathematical Modeling, Regional University of Northwestern, Rio Grande do Sul State (UNIJUÍ), Ijuí – RS – Brazil)

Mathematical Modeling of the Lithium-ion battery Lifetime using System Identification Theory
(Leugim Corteze Romio, Airam Sausen, Paulo Sérgio Sausen and Manuel Reimbold, Master’s Program in Mathematical Modeling, Regional University of Northwestern, Rio Grande do Sul State (UNIJUÍ), Ijuí – RS – Brazil)


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