An Iterative Decomposed Piecewise-Linear Model Description by Victor Jimenez-Fernandez, Luis Hernandez-Martinez, Arturo Sarmiento-Reyes

“…It is also called iterative, because the particular representation of each segment of the PWL characteristic depends on the value of only one parameter included in the mathematical formulation, it gives the possibility of modeling both, univalued and multivalued PWL characteristics.…”
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Finite volume schemes and Lax–Wendroff consistency by Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele, Latché, Jean-Claude

“…We present a (partial) historical summary of the mathematical analysis of finite difference and finite volume methods, paying special attention to the Lax–Richtmyer and Lax–Wendroff theorems. …”
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Antimicrobial Resistance within Host: A Population Dynamics View by Chunji Huang, Aijun Fan

“…To study the relationship between antimicrobial resistance and the concentration of antibiotics, a competitive population dynamical model is proposed between the susceptible strain and the resistant strain with antibiotic exposure. The strict mathematical analysis is performed, and the results indicate that long-term high strength antibiotic treatment and prevention can induce the extinction of susceptible strain. …”
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Development of vortex compressed air drying devices for ground launch complex systems by A. B. Yakovlev

“…The possibility of using the vortex effect for drying compressed air used in various industrial installations including systems for thermostating ground launch complexes is shown. A mathematical model of the process of reducing the moisture content is presented and a method for calculating the optimal geometric dimensions of the vortex drying device is created. …”
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The application of geometric models for analysis of dimensional parameters of joint based on direct kinematics problem of robots by D. D. Primak, I. A. Volkov, V. B. Masyagin

“…The purpose of this study is to obtain quantitative characteristics of the dimensional parameters of joint with reference to the coordinate system in modeling of the assembly process and subsequent visualization of geometrical models of details and their joints in the Excel program, by adapting the mathematical apparatus used in the kinematics of robots to solve problems of relevance in the modeling and analysis assembly process.…”
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HEAT-MASS TRANSFER IN MOVING MELT by R. I. Yesman, L. I. Shoub

“…The paper gives mathematical formation and solution of the heat-mass transfer problem when liquid metals are flowing in the channels of complicated geometry. …”
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Stress Redistribution in Statically Indeterminate Corroded Reinforced Concrete Beams by A. G. Tamrazyan

“…It is noted that the ability of a reinforced concrete beam to rotate is crucial for both operational and limit states, as it affects the deflection, moment redistribution and energy absorption. A mathematical model that predicts the moment redistribution factor is developed. …”
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Calculation of the creation and annihilation operators of a free particle in the light cone coordinate formalism by Jorge Kysnney Santos Kamassury, Damião Pedro Meira Filho, Charles da Rocha Silva, João Bosco Soares Pampolha Júnior, Robhyson Denys Rodrigues da Silva, Asael Ribeiro Pinto

“… This work didactically presents the mathematical procedures required for the construction of the creation and annihilation operators for a free quantum particle considering the coordinates of the light cone. …”
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Simulation of Consolidated Power System Behaviour in Steady and Self-Steady Modes by A. A. Zalatoi

“…A complex mathematical model of behaviour of consolidated power systems with strong and weak internal intersystem electrical links in steady and self-steady modes is offered in view of automatic control of frequency, voltage and power. …”
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The Gantry as a Drive for a Horizontal Bike: Initial Investigation of Rotary Work by Łukasz Bereś, Paweł Pyrzanowski

“…The comparison was based on static tests; forces put into both drive systems were measured, and the rotary work was mathematically calculated. The forces put into the drive systems were measured for a man 177 cm tall and of 76 kg mass. …”
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Fat and Moisture Content in Chinese Fried Bread Sticks: Assessment and Rapid Near-Infrared Spectroscopic Method Development by Zhuqing Xiao, Keqiang Lai, Rui Du, Yungang Shen, Xiaohua Sun, Yun Pan, Barbara A. Rasco, Yiqun Huang

“…Spectra of FBS were treated with different mathematic pretreatments before being used to build models between the spectral information and fat (7.71%–30.89%) or moisture (17.39%–32.65%) content in FBS. …”
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HARMONIC ANALYSIS OF MAGNETOMOTIVE FORCE IN THE AIR GAP OF SIX-PHASE ASYNCHRONOUS MACHINES by TODOS, Petru, TERTEA, Ghenadie, NUCA, Ilie

“…The paper presents the mathematical model for the harmonic analysis of the magnetomotive force in the air gap of six-phase machines with possible variants of windings on the stator. …”
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Comparative analysis of flat multi-element electric field strength sensors with round base and various design features by S. V. Biryukov, E. G. Glukhoverya, A. V. Tyukin

“…For this, a generalized mathematical model of the sensor is compiled taking into account its design parameters which affect the error from field inhomogeneity and the spatial range of measurement. …”
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Optimization of distribution risk of hazardous materials in the production routing problem by Amin Farahbakhsh, Amirsaman Kheirkhah

“…Given that solving the mathematical model with the nonlinear objective function is more difficult, this function is approximated by a piecewise linear function.Findings: In this research, 8 standard instances have been used to evaluate and solve the model and compare the two nonlinear and linear models. …”
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An integrated toolbox for creating neuromorphic edge applications by Lars Niedermeier, Nikil Dutt, Jeffrey L Krichmar

“…For instance, the mathematical foundation involves differential equations rather than basic activation functions. …”
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Speed Proportional Integrative Derivative Controller: Optimization Functions in Metaheuristic Algorithms by Luis Fernando de Mingo López, Francisco Serradilla García, José Eugenio Naranjo Hernández, Nuria Gómez Blas

“…The fitness developed in this paper contains features and equations from the mathematical background of proportional integrative derivative controllers to calculate the best performance of the system. …”
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A heuristic method based on LP relexation to solve the multiple allocation modular hub location problem by Zahra Arabzadeh Nosrat Abad, Farid Momayezi, Nader Ghaffarinasab

“…Also, decisions regarding the percentage of the traffic volume sent via multiple network routes are made by the presented model.Methodology: The mathematical model, including the objective function and constraints, is constructed and solved by GAMS software. …”
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Transformation of initial cartographic materials for the “Main State Topographic Map” to coordinate system UCS-2000 by Karpinskyi Yurii, Lazorenko Nadiia, Kin Danylo, Vitruk Olga

“…The choice of the finite element method and the peculiarities of affine transformation are mathematically substantiated. Also, the authors determined the requirements for the method of coordinates transformation.…”
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Providing a New Multiobjective Two-Layer Approach for Developing Service Restoration of a Smart Distribution System by Islanding of Faulty Area by Hasan Keshavarz Ziarani, Seyed Hossein Hosseinian, Ahmad Fakharian

“…In this study, a novel two-step mathematical method for system restoration after the fault is presented. …”
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INFLUENCE OF THE TIME OF DISINHIBITION TO TRANSIENTS AND WEAR OF THE FRICTION LININGS IN AN ASYNCHRONOUS MOTOR by V. V. Solencov, V. V. Brel

“…The pilot study confirmed the validity of the obtained mathematical models and discovered patterns.…”
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