Analysis of Elastohydrodynamic Lubrication Characteristic of the Roller Enveloping Hourglass Worm Drive by Taoran Zhang, Lingyu Li

“…To study the elastohydrodynamic lubrication（EHL） characteristic of the roller enveloping hourglass worm drive， the line contact isothermal mathematical model is established based on the research of meshing theory of the roller enveloping hourglass worm drive and the theory of EHL. …”
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Terahertz Generation in an Electrically Biased Optical Fiber: A Theoretical Investigation by Montasir Qasymeh

“…A ring resonator is utilized to boost the optical intensities in the biased optical fiber. A mathematical model is developed which is supported by a numerical analysis and simulations. …”
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A New Buckling-Restrained Brace with a Variable Cross-Section Core by Liang Li, Tianhua Zhou, Junwu Chen, Jianfeng Chen

“…The practical design equations of the BRB-VCC are derived based on mechanical and mathematical theories. Six specimens are designed and tested to clarify the mechanical behaviours of the BRB-VCC and to validate the reliability of the proposed equations. …”
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Modeling the Effects of Nonpharmaceutical Interventions on COVID-19 Spread in Kenya by Duncan K. Gathungu, Viona N. Ojiambo, Mark E. M. Kimathi, Samuel M. Mwalili

“…Mathematical modeling of nonpharmaceutical interventions (NPIs) of coronavirus disease (COVID-19) in Kenya is presented. …”
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Performance analysis and power optimization for FH secure communication under frequency and phase mismatch by Changqing SONG, Hongzhi ZHAO, Lizhi QIN, Shihai SHAO

“…The artificial noise (AN) shielded frequency hopping (FH) secure communication can counteract electromagnetic interference and wiretapping, but its carrier frequencies change rapidly within a wide bandwidth which will raise the level of carrier frequency offset and phase noise, yielding AN cancellation performance degradation.To tackle this, the signal distortion caused by frequency and phase mismatch (FPM) was mathematically modeled, the AN cancellation performance was evaluated via signal-to-noise ratio, and the system secrecy was scaled via secrecy capacity.On basis of this, the optimal power allocation scheme for AN and confidential signal was designed, and the scheme was expanded according to the FPM level and the propagation channel quality.Numerical simulations verify that FPM can significantly degrade the noise cancellation performance and system secrecy, and to counteract this, the power ratio of AN to confidential signals should decrease with an increasing FPM.…”
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Conceptualisation des espaces sahéliens chez les auteurs arabes du Moyen Âge by Jean-Charles Ducène

“…The guidelines of the medieval geography impose a mathematical definition to the space and determine an ethnography for these peoples, while natural conditions seemed to legitimate this vision, that established a huge differentiation between the populations located North and South of the Sahara. …”
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Research of the Kinematics of Rod-gear Type Pulse CVT based on Matlab by Chen Suifan, Dong Zhifeng

“…Based on the analysis of transmission mechanism of rod-gear type Pulse Continuously Variable Transmission（ P-CVT）,the closed vector equations of equivalent plane six-bar mechanism are built. The kinematic mathematical model of angular displacement,angular velocity and angular acceleration of connecting rod,rocker and meshing point to input shaft axis of single phase transmission mechanism is constructed by the matrix method. …”
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Experimental determination of limiting range of vision for underwater laser system by A. S. Golosnoy

“…The calculations and field tests carried out on the basis of the developed mathematical model in real conditions showed the correspondence of theoretical and experimental results.…”
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Intelligenza artificiale e istruzione: tra sperimentazione e prospettive evolutive by Fiorella D'Ambrosio

“…Particular focus is given to an ongoing research project aimed at improving Italian students’ mathematical skills through the use of AI tools like ChatGPT, integrated into the design of teaching activities employing innovative and inclusive methodologies. …”
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CONTRIBUTION OF UNN RADIOPHYSICISTS TO DEFENSE, SCIENCE, AND INNOVATION by Sergey N. Gurbatov, Valeriy V. Matrosov, Arkadiy V. Yakimov

“…Fundamental physical and mathematical education and an individual approach are the foundations of learning process organization at the Faculty. …”
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Optimum Design of Load Capacity of Cycloidal Pin Wheel by Leilei Xu, Jianxin Su

“…In order to optimize its load capacity， an optimization mathematical model with the minimum contact stress and the maximum meshing stiffness is constructed by taking the pin tooth distribution circle radius， short amplitude coefficient， pin diameter coefficient and cycloidal wheel width as design variables. …”
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Statistical Analysis of Video Frame Size Distribution Originating from Scalable Video Codec (SVC) by Sima Ahmadpour, Tat-Chee Wan, Zohreh Toghrayee, Fariba HematiGazafi

“…The modeling of video frame sizes is normally applied in simulation studies and mathematical analysis and generating streams for testing and compliance purposes. …”
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Dynamic Responses of an Overhead Crane’s Beam Subjected to a Moving Trolley with a Pendulum Payload by Huasen Liu, Wenming Cheng, Yinqi Li

“…The differential equation motion of a coupled overhead crane system was derived based on the Lagrange equation. Mathematical solution was carried out by using the Newmark-β integral method. …”
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New non‐homogeneous Poisson process software reliability model based on a 3‐parameter S‐shaped function by Hung‐Cuong Nguyen, Quyet‐Thang Huynh

“…Abstract Software reliability modelling is the mathematical technique used to evaluate the reliability of a software system. …”
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Dynamics Characteristic Analysis of Spur Gear Pairs based on Tooth Surface Friction by Lu Fengxia, Wang Haofei, Zhu Rupeng, Bao Heyun, Jiang Huihui

“…A bending-torsional nonlinear dynamics model of the spur gear pair with 6-DOF is established and the dimensionless dynamics equations are derived.The tooth surface friction,time-varying stiffness,gear backlashes as well as gear mesh errors are considered in this model.Based on the location of the contact line,the mathematical expressions of the tooth surface friction and the friction torque are both derived.The effects of tooth surface friction on the dynamic behaviors of the system are studied.The results show that the tooth surface friction can increase the vibration of the system,and the effect is more obvious on the vibration in the perpendicular direction to the meshing line.The degree of the chaotic motion of the system can be reduced by the tooth surface friction,and the bifurcation of the system becomes blurred at the high meshing frequency and chaotic motion appears earlier by the tooth surface friction.…”
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RESEARCH ON PERFORMANCE PREDICTION OF THIN SEAM SHEARER BY COMBINING GENETIC ALGORITHM WITH BP NEURAL NETWORK by ZHAO LiJuan, JIN ZhongFeng

“…Optimization method based on the combination of genetic algorithm（ GA） and BP neural network was proposed for the problems that traditional method can`t solve about the multi Factor impact shearer coal capacity. Established mathematical model of thin seam shearer,we use genetic algorithm to optimize the weighted values and threshold values of the BP neural network,using the simulation data for training and testing samples,and then use the BP algorithm to train the neural network,thus avoiding the local minimum values when the training is done with the BP neural network alone. …”
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Grey Prediction for Accuracy Life of Roller Pushing Mechanism by Zhang Liping

“…The regular testing error value of position accuracy of chain head is constituted as an original data series at equal intervals. The mathematical model of gray system is established. Monotonically increasing time data sequence is obtained by accumulating generating calculation. …”
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Extraction of Fetal Electrocardiogram by Combining Deep Learning and SVD-ICA-NMF Methods by Said Ziani, Yousef Farhaoui, Mohammed Moutaib

“…It is based on the Convolutional Neural Network (CNN) combined with advanced mathematical methods, such as Independent Component Analysis (ICA), Singular Value Decomposition (SVD), and a dimension-reduction technique like Nonnegative Matrix Factorization (NMF). …”
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The Airport Gate Assignment Problem: A Survey by Abdelghani Bouras, Mageed A. Ghaleb, Umar S. Suryahatmaja, Ahmed M. Salem

“…Our survey covers both theoretical and real AGAP with the description of mathematical formulations and resolution methods such as exact algorithms, heuristic algorithms, and metaheuristic algorithms. …”
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Kinematics Simulation Analysis of Six-legged Upright Walking Robot based on Adams by Jiulei Zhang

“…Firstly， by using the vector analytical method， the corresponding motion mathematical model of the walking leg mechanism is established and analyzed. …”
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