Stability Control of the Agricultural Tractor-Trailer System in Saline Alkali Land: A Collaborative Trajectory Planning Approach by Guannan Lei, Shilong Zhou, Penghui Zhang, Fei Xie, Zihang Gao, Li Shuang, Yanyun Xue, Enjie Fan, Zhenbo Xin

“…By solving the TTS kinematic/dynamic state space, a nonlinear leading system that can generate the reference pose of a tractor-trailer was constructed. …”
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Management of Uncertainty by Statistical Process Control and a Genetic Tuned Fuzzy System by Stephan Birle, Mohamed Ahmed Hussein, Thomas Becker

“…In general, they are characterized by highly nonlinear dynamics and uncertainties that make it difficult to control these processes by the use of traditional control techniques. …”
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TDCN: A novel temporal depthwise convolutional network for short-term load forecasting by Mingping Liu, Chenxu Xia, Yuxin Xia, Suhui Deng, Yuhao Wang

“…However, with the growing integration of renewable energy sources like wind power and photovoltaics, load data have become increasingly complex and nonlinear, making accurate forecasting a challenging task in modern power systems. …”
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Relationship of METS-IR with cardiometabolic multimorbidity in China: a nationwide longitudinal cohort study by Chunyan Zhou, Yanyu Zhang, Xiaoyi Liu, Chenyu He, Shiyang Li, Shiyang Li

“…RCS analysis revealed a significant nonlinear association between METS-IR and CMM (nonlinear p < 0.05). …”
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Influence of Y–Bi–Co oxide doping on electrical performance of ZnO varistors based on simulation analysis by Zhengzheng Fu, Zongxi Zhang, Songhai Fan, Tao Cui, Donghui Luo, Yue Yin, Pengfei Meng, Jingke Guo

“…The best results were obtained with 0.5 mol% Y2O3, 2 mol% Bi2O3, and 3 mol% Co2O3, yielding a 356 V/mm voltage gradient, 0.9 μA leakage current, and a nonlinear coefficient of 66.2. The Voronoi network model explained how Bi2O3 and Co2O3 enhance Y‐doped varistor performance. …”
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Study on the evolution law of the ‘Butterfly-type’ plastic zone in the surrounding rock of deep dynamic pressure roadway by Yiwen Liang, Jianqiang Jin, Wenhua Zha, Tao Xu, Wenbo Cheng

“…Based on the Hoek–Brown strength criterion, the unified strength theory is modified and the nonlinear unified strength theory of rock is established by comprehensively considering the intermediate principal stress, rock properties and rock structure. …”
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Day-to-day dynamics of fetal heart rate variability to detect chorioamnionitis in preterm premature rupture of membranes. by Aline Taoum, Guy Carrault, Caroline Tesson, Maxime Esvan, Bruno Laviolle, Linda Lassel

“…When only stage 3 chorioamnionitis was compared to non-chorioamnionitis patients, the AUC reached 90% [88-93] for nonlinear-domain and 84% [82-87] for time-domain FHRV features, whereas it was limited to 71% [68-74] using cFHR features.…”
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Association between a body shape index and colorectal cancer in US population: a cross-sectional study based on NHANES by Hui Liu, Jialu Kang, Wei Liu, Yongqing Shen

“…RCS analysis indicated a nonlinear correlation between ABSI and CRC (P for nonlinear = 0.030). …”
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RETRACTED ARTICLE: Associations of composite dietary antioxidant index with cardiovascular disease mortality among patients with type 2 diabetes by Chan Yang, Qiangfei Yang, Xi Peng, Xinqiong Li, Guocheng Rao

“…Restricted cubic spline analyses were utilized to explore the nonlinear association of CDAI with CVD mortality, and nonlinearity was tested by the likelihood ratio test. …”
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Exposure to specific polyfluoroalkyl chemicals is associated with cardiovascular disease in US adults: a population-based study by Wenwen Xiao, Guojin Jian, Fei Ma, Hong Li, Xiaohong Yang, Hengyang Zhang, Yongping Cao

“…Generalized additive model (GAM) was used for evaluating nonlinear relationships. Subgroup analyses were conducted to explore interaction effects. …”
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Measuring effective indicators for waste disposal in order to assess the sustainable environment: application of fuzzy approach by Mohammad Hossein Kabgani

“…Also, the technical contribution of this article is presented by combining fuzzy logic and Nonlinear mathematical programming.…”
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Spline approximation of multivalued functions in linear structures routing by D. A. Karpov, V. I. Struchenkov

“…At the second stage, nonlinear programming is used. In this case, it is possible to analytically calculate the derivatives of the objective function with respect to the spline parameters in the absence of its analytical expression through these parameters.Results. …”
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Influence of titanium and gold platelet morphology on heat transfer in biomagnetic third-grade hybrid nanofluid flow through a vertical channel by S. Suneetha, S.R.R. Reddy, Maduru Lakshmi Rupa, T. Mahesh Kumar, Mohammed Jameel, Taoufik Saidani, Lamia Abu El Maati, Dilsora Abduvalieva, M. Ijaz Khan

“…Through the use of perturbation, the nonlinear momentum and energy equations are reduced to nonlinear ordinary differential equations. …”
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Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications by Jiang Zhu, Dongmei Liu

“…By using these maximum principles, the uniqueness theorems of the solutions, the approximation theorems of the solutions, the existence theorem, and construction techniques of the lower and upper solutions for second-order linear and nonlinear initial value problems and boundary value problems on time scales are proved, the oscillation of second-order mixed delat-nabla differential equations is discussed and, some maximum principles for second order mixed forward and backward difference dynamic system are proved.…”
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A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications by Yuji Liu, Bashir Ahmad

“…We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. …”
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Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback by Mervan Pašić

“…As an application, we study a class of Duffing type quasilinear equations with nonlinear time delayed feedback and their oscillations excited by the control gain parameter or amplitude of forcing term. …”
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Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative by You-Hui Su, Weili Wu, Xingjie Yan

“…We all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. Some new sufficient conditions are obtained for the existence of at least one, triple, or arbitrary odd positive pseudosymmetric solutions by using pseudosymmetric technique and fixed-point theory in cone. …”
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Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method by R. Mastani Shabestari, R. Ezzati, T. Allahviranloo

“…Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown coefficients. …”
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Application of Asymptotic Analysis of a High-Dimensional HJB Equation to Portfolio Optimization by Lei Hu

“…The Hamilton–Jacobi–Bellman equation formulated from the optimal investment problem is a high-dimensional nonlinear partial differential equation and difficult to find its analytical or numerical solutions. …”
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FINITE ELEMENT ANALYSIS OF 3-D HELICAL GEAR DYNAMIC CONTACT CHARACTERISTICS by FU Tian, ZHAO BaiSen

“…In order to simulate the actual load distribution,the dynamic analysis model of rolling bearing is established by quasi-dynamic,simultaneously considering radial load,axial load,centrifugal force and gyroscopic moment acted on the rolling bearing,and study the rolling bearing load distribution under different radial load,axial load and speed conditions by MATLAB programming for solving nonlinear equations,the effect rules of contact angle and deformation are analyzed by program.…”
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