Meshing Principle of Offset Asymmetric Face Gear and Precise Design of Complex Conjugate Tooth Surface by Shuai Mo, Wenjie Tang, Shengping Zhu, Zongxiang Yue, Hanjun Gao

“…According to the theory of gear space meshing， the space coordinate system of gear meshing is established， the mathematical models of asymmetric involute cylindrical gear and offset face gear are derived， and the meshing equation of asymmetric offset face gear is established. …”
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Performance evaluation of underwater vision systems by V.Y. Kolyuchkin, N.M. Kostylev, Y.S. Gulina

“…The methodology is based on a system approach and uses mathematical models of the aqueous medium where an optical signal propagates, the underwater object image registration system, and the mathematical model of the human visual system. …”
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Numerical Simulation of Flooding Process on Downstream Structure by Three-dimensional Dam-break Wave by YU Ruixing, LIN Qin, HE Shiming, ZHENG Yipeng, ZHENG Kaiyuan

“…While a quantitative forecast of the flow velocity and impact load during the dam-break flood is carried out, the reliability of the mathematical models in dealing with the fluid-structure interaction of water disasters is demonstrated by real-life cases and published data comparison. …”
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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems by Brahim Benhammouda

“…Index-3 differential-algebraic equations (DAEs) are mathematical models for the dynamics of constrained multibody mechanical systems that arise in many applications. …”
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New Numerical Solution of von Karman Equation of Lengthwise Rolling by Rudolf Pernis, Tibor Kvackaj

“…The result from derived mathematical models can be calculated following variables: normal contact stress distribution, front and back tensions, angle of neutral point, coefficient of the arm of rolling force, rolling force, and rolling torque during rolling process. …”
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Reliability analysis of landing gear operation based on improved support vector machine-based decomposed-coordinated by ZHANG Lei, CHEN Junyu, FENG Jun, FENG Yunwen, LIU Lei

“…The improved support vector machine aims to optimize the performance of the limit state function in each sub-mathematical model by applying multi-stage adaptive point position control of hyperparameters. …”
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Resistance Prediction for Hard Chine Hulls in the Pre-Planing Regime by Radojcic Dejan, Zgradic Antonio, Kalajdzic Milan, Simic Aleksandar

“…Regression analysis and artificial neural network (ANN) techniques are used to establish, respectively, Simple and Complex mathematical models. For the Simple model, resistance is the dependent variable (actually R/Δ for standard displacement of Δ = 100000 lb), while the Froude number based on volume (FnV) and slenderness ration (L/V1/3) are the independent variables. …”
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Prediction and optimizing residual stress profile induced by cold expansion in aluminum alloys using experimental design by M. Laredj, A. Miloudi, A. Lousdad, M. Benguediab

“…Moreover, the proposed mathematical models are used to determine the optimal values of the process parameters and predict the residual stress in order to achieve a maximum service life of cracked structure after repair. …”
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Geometric design of two novel rotor profiles for Roots vacuum pumps with elliptical curve by Zhengqing Li, Xiaojun Wang, Xianhu Han, Yuhong Cai

“…This study proposes two novel elliptical rotor profiles: one designed with an elliptical curve at the top and the other with an elliptical curve at the waist. Mathematical models of the new rotor profiles were established, and profile equations were derived on a geometric method. …”
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The dynamics and longevity of circulating CD4+ memory T cells depend on cell age and not the chronological age of the host. by M Elise Bullock, Thea Hogan, Cayman Williams, Sinead Morris, Maria Nowicka, Minahil Sharjeel, Christiaan van Dorp, Andrew J Yates, Benedict Seddon

“…Here, we address these issues by combining DNA labelling methods, established fate-mapping systems, a novel reporter mouse strain, and mathematical models. Together, these allow us to quantify the dynamics of both young and established circulating memory CD4 T cell subsets, within both young and old mice. …”
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Mathematical analysis and modeling of DNA segregation mechanisms by Bashar Ibrahim

“…In this study, bistable mathematical models for both activation and silencing of mitotic checkpoints were constructed and analyzed. …”
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Optimum Design Research on the Link Mechanism of the JP72 Lifting Jet Fire Truck Boom System by Guo Tong, Wang Jiawen, Liang Yingnan, Peng Buyu, Liu Tao, Liu Yiqun

“…The finite element analysis method was used to establish a mathematical model, and the optimization goal was to minimize the sum of the forces on the hydraulic cylinder, which was transformed into a mathematical programming problem. …”
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Modelling Moisture Sorption Isotherms of Superabsorbent Polymer Fabric for Desiccant Drying of Crops by Peter Kang’ethe Kimani, Ayub Njoroge Gitau, Duncan Onyango Mbuge, Januarius Ondiek Agullo

“…Using symbolic regression and nonlinear regression in R software, four mathematical models were obtained. R software codes were assembled for the analysis of sorption isotherm models. …”
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Reconfigurable Articulated Robot Using Android Mobile Device by A.H. Rajpar, Ahmad. E. Eladwi, Imran Ali, Mohamed Bashir Ali Bashir

“…We introduce a set of conveniently composed kinematic and dynamic mathematical models for positioning the robot’s arms and, in our results and discussion section, calculate and report the torque required to move each joint.…”
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Presentation of Machine Learning Approaches for Predicting the Severity of Accidents to Propose the Safety Solutions on Rural Roads by Mohammad Habibzadeh, Mahmoud Ameri, Hassan Ziari, Neda Kamboozia, Seyede Mojde Sadat Haghighi

“…Finally, the performances of ANN models were analyzed by other mathematical models built by MATLAB programming.…”
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Performance Enhancement of MRAC via Generalized Dynamic Inversion by Alharith Mahmoud, Abdulrahman H. Bajodah

“…Model Reference Adaptive Control (MRAC) guarantees closed loop stability and desired steady state performance of dynamical systems without undue dependence upon their mathematical models. However, the applicability of MRAC may not be suitable for systems that are crucial to safety due to its poor transient response. …”
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HPRNA: Predicting synergistic drug combinations for angina pectoris based on human pathway relationship network algorithm. by Mengyao Zhou, Mengfan Xu, Xiangling Zhang, Xiaochun Xing, Yang Li, Guanghui Wang, Guiying Yan

“…Compared to lengthy medical drugs experimental screening, mathematical models and algorithms show great potential in synergistic drug combinations prediction. …”
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HWOA-TTA: A New Hybrid Metaheuristic Algorithm for Global Optimization and Engineering Design Applications by Huda Y. Najm, Elaf Sulaiman Khaleel, Eman T. Hamed, Huda I. Ahmed

“…The hybrid algorithm is applied to two well-known engineering mathematical models. The experiments show that the HWOA-TTA outperforms other algorithms.…”
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Modeling the motion of a ship with suspended cargo by Solovyov A. A., Shugay S. N.

“…In the process of studying the dynamics of a vessel in rough seas, the method of mathematical modeling based on the linear theory of waves and rolling has been used. …”
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Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management by Mingzhan Huang, Shouzong Liu, Xinyu Song, Lansun Chen

“…In this paper, mathematical models for the management of biological resources based on a given predator-prey relationship are proposed, and two types of control strategies, unilateral and bilateral control with impulsive state feedback, are studied. …”
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