Vector Rayleigh Diffraction of High-Power Laser Diode Beam in Optical Communication by Qiang Xu, Renxian Li, Yuanyuan Zhang, Yiping Han, Zhensen Wu

“…Laser diodes (LDs) are widely used in optical wireless communication (OWC) and optical networks, and proper theoretical models are needed to precisely describe the complicated beam field of LDs. A novel mathematical model is proposed to describe the vectorial field of nonparaxial LD beams. …”
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Analysis of singularity planar multi-linkage mechanism of fourth order by E. S. Gebel

“…That is why the singularity problem is relevant for such mechanisms and should be studied to avoid jamming of links or the appearance of uncontrolled movements. The mathematical model is based on the theory of screws and contains the closed-loop equilibrium equations obtained for the investigated mechanism. …”
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Numerical Simulation to Air Pollution Emission Control near an Industrial Zone by Pravitra Oyjinda, Nopparat Pochai

“…An industrial factory is an important reason that releases the air pollutant into the atmosphere. Thus a mathematical model, an atmospheric diffusion model, is used to estimate air quality that can be used to describe the sulfur dioxide dispersion. …”
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Inertial Forces and Friction in Propulsion of a Rigid Body by Roman Starosta, Paweł Fritzkowski

“…This study focuses on the conception of a mechanical system whose motion on a rough horizontal plane is caused only by the rotation of two internal masses. The mathematical model of the robot is presented in the non-dimensional form. …”
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Application Effect Analysis of the Mie Scattering Theory Based on Big Data Analysis Technology in the Optical Scattering Direction by Suting Chen

“…Under the assumed mathematical model of bubble group scattering, the scattered light intensity of wake can be measured experimentally, and then, the velocity, diameter, and density distribution of the bubble group can be calculated by using the mathematical inversion algorithm. …”
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A Hybrid Framework for Real-Time Dispatching of Airline Unit Load Devices under Demand Variations by Ching-Hui Tang, Ping-Hsuan Hsieh

“…The hybrid framework is developed by integrating techniques including the probability distribution technique to simulate different types of operational demand, the adjustable number of stages which is needed to meet the requirements of a decision-making process following a time sequence and the time pressure characteristic of real operations, and the scenario tree and probability rule approaches which are aimed and representing all possible demand scenarios for a stage, while the network flow technique is applied to represent the movement and location of ULDs at each airport over time and is used for the development of the associated mathematical model and the simulation. We performed a simulation of 2,000 cases based on different operational days and types of operational demand. …”
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Structural Design and Kinematic Analysis of a 10-DOF Exoskeleton Rehabilitation Robot by Guoqiang Ge, Weifeng Zhang, Jinghan Li, Hui Wang

“…Simulation research shows that the structural design scheme and mathematical model of the exoskeleton rehabilitation robot are feasible and correct.…”
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Thermodynamic properties in ternary system of NHHCO–HO–ethanol based on antisolvent method to strengthen crystallization of carbonized ammonia by Yu Zhang, Dongdong Feng, Jianmin Gao, Qian Du, Shaohua Wu

“…In this paper, the solubility curves under different temperature and solvent compositions were determined by static method and the mathematical model of solubility was established. The effects of the addition of ammonium carbamate which was produced in the initial stage of the CO 2 absorption process and the addition of ammonia on the solubility in ternary system of NH 4 HCO 3 –H 2 O–ethanol were studied. …”
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Developing a Chaotic-Simulation Based Model for Ranking High Selected Network Links in Hazardous Material Transportation by Abbas Mahmoudabadi

“…In general, transport risk is a main attribute to develop mathematical models for hazardous material routing problem as well as network designing or improving road safety. …”
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Effect of Varying Illumination and Temperature on Steady-State and Dynamic Parameters of Dye-Sensitized Solar Cell Using AC Impedance Modeling by Brijesh Tripathi, Pankaj Yadav, Manoj Kumar

“…The steady-state current-voltage curve and dynamic response of a dye-sensitized solar cell (DSSC) is mathematically modeled based on electrical equivalent circuit. …”
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Studies on the Effects of Interphase Heat Exchange during Thermal Explosion in a Combustible Dusty Gas with General Arrhenius Reaction-Rate Laws by K. S. Adegbie, F. I. Alao

“…A mathematical model for thermal explosion in a combustible dusty gas containing fuel droplets with general Arrhenius reaction-rate laws, convective and radiative heat losses, and interphase heat exchange between gas and inert solid particles is investigated. …”
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A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control by Mustapha Lhous, Omar Zakary, Mostafa Rachik

“…The main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-time model. …”
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The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator by Jevgeņijs Carkovs, Jolanta Goldšteine, Kārlis Šadurskis

“…We present the analysis of a mathematical model of the dynamics of interacting predator and prey populations with the Holling type random trophic function under the assumption of random time interval passage between predator attacks on prey. …”
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Modelling the Effect of SPION Size in a Stent Assisted Magnetic Drug Targeting System with Interparticle Interactions by Adil Mardinoglu, P. J. Cregg

“…Here, we develop a mathematical model for studying the interactions between the MDCPs enriched with three different diameters of SPIONs (6.6, 11.6, and 17.8 nm) in the MDT system with an implanted magnetizable stent using different magnetic field strengths and blood velocities. …”
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Investigation of Nonlinear Vibrational Analysis of Circular Sector Oscillator by Using Cascade Learning by Naveed Ahmad Khan, Muhammad Sulaiman, Jamel Seidu, Fahad Sameer Alshammari

“…Nonlinear differential equations govern the mathematical model for frequency oscillation of the system. …”
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Modeling and Simulation of Control Actuation System with Fuzzy-PID Logic Controlled Brushless Motor Drives for Missiles Glider Applications by Murali Muniraj, Ramaswamy Arulmozhiyal

“…The proposed system will realize better rise time and less overshoot while operating in extreme nonlinear dynamic system conditions. A mathematical model of BLDC motor is derived in state space form. …”
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Research on Modification Method of Internal Gearing Power Honing based on Flexible Dressing of Honing Wheel by Lian Xia, Qing Wang, Jiang Han, Xiaoqing Tian

“…Firstly，the tooth surface mathematical model of dressing and honing is established according to the motion relationship of each axis of gear honing machine. …”
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Nonlinear Vibration Mechanism of the Marine Rotating Machinery with Airbag Isolation Device under Heaving Motion by Xiaolei Du, Ming Li

“…First, we consider the effects of mass unbalance and heaving motion and propose a mathematical model of the marine rotating mechanical system with airbag vibration isolation. …”
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CREEP RELIABILITY ANALYSIS OF TURBINE BLISK BASED ON DUAL RESPONSE SURFACE METHOD by ZHANG ChunYi, WANG AiHua, SUN Tian, JING HuiZhe, LI ChengWei

“…By constructing the finite element model of the blisk and the thermal-structural coupling analysis method, the stress and strain of turbine blisk were obtained. The mathematical model of dual response surface for stress and strain of turbine blisk was established by using the Latin hypercube small sampling technique. …”
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On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process by Ali Turab, Awad A. Bakery, O. M. Kalthum S. K. Mohamed, Wajahat Ali

“…The goal of this paper is to look at the subject’s actions in such situations and provide a mathematical model that is appropriate for it. The existence of a unique solution to the suggested human learning model is examined using relevant fixed point results.…”
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