Thermal radiation effects of ternary hybrid nanofluid flow in the activation energy: Numerical computational approach by Hakeem Ullah, Syed Arshad Abas, Mehreen Fiza, Aasim Ullah Jan, Ali Akgul, Magda Abd El-Rahman, Seham M. Al-Mekhlafi

“…Methodology: After utilizing von Karman similarity transformations to renovate the principal equations into the set of nonlinear differential equation systems, the resulting equations were solved using the bvp4c numerical approach with the assistance of MATLAB software. …”
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Association between fasting blood glucose and psychotic symptoms in Chinese patients with first-episode drug-naïve major depressive disorder by Xingzhi Xia, Hanxu Deng, Wei Ren, Lin Yang, Yingzhao Zhu, Yaozhi Liu, Junjun Liu, Xueli Zhao, Fengnan Jia, Xiangdong Du, Xiangyang Zhang

“…Conclusions Our investigation revealed a nonlinear relationship between FBG and PD in patients with FEDN MDD, thereby informing more effective intervention strategies for managing psychotic symptoms in individuals with depression.…”
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Sustainable foam glass property prediction using machine learning: A comprehensive comparison of predictive methods and techniques by Mohamed Abdellatief, Leong Sing Wong, Norashidah Md Din, Ali Najah Ahmed, Abba Musa Hassan, Zainah Ibrahim, G. Murali, Kim Hung Mo, Ahmed El-Shafie

“…Data preprocessing involved Pearson correlation analysis to address multicollinearity and reveal nonlinear relationships among variables. Model performance was evaluated through R-values, mean absolute error, and root mean square error metrics, demonstrating that the GPR model achieved superior prediction accuracy with R-values of 0.91 and 0.82 for porosity and CS, respectively. …”
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New Solitary Wave Solutions of the Lakshamanan–Porsezian–Daniel Model with the Application of the Φ⁶ Method in Fractional Sense by Hicham Saber, Hussien Albala, Khaled Aldwoah, Amer Alsulami, Khidir Shaib Mohamed, Mohammed Hassan, Abdelkader Moumen

“…This paper explores a significant fractional model, which is the fractional Lakshamanan–Porsezian–Daniel (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">FLPD</mi></semantics></math></inline-formula>) model, widely used in various fields like nonlinear optics and plasma physics. An advanced analytical solution for it is attained by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="sans-serif">Φ</mi><mn>6</mn></msup></semantics></math></inline-formula> technique. …”
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Characterization and optimization of cerium oxide nanoparticle-doped cellulose acetate films using the Box-Behnken Design by Lívia Viana Aguiar de Oliveira, Noemi Raquel Checca Huaman, Sergio Neves Monteiro, Ulisses Oliveira Costa, Letícia Vitorazi

“…The films exhibited enhanced UV absorption, with CeO₂ increasing absorbance at 316 nm, while PEG influenced a nonlinear absorption response at 211 nm. XRD, TEM, and SAED confirmed the high crystallinity of CeO₂, while EELS revealed Ce³⁺/Ce⁴⁺ oxidation states and oxygen vacancies, contributing to UV absorption. …”
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Second order slip micropolar MHD hybrid nanofluid flow over a stretching surface with uniform heat source and activation energy: Numerical computational approach by Syed Arshad Abas, Hakeem Ullah, Mehreen Fiza, Ali Akgul, Aasim Ullah Jan, Magda Abd El-Rahman, Seham M. Al-Mekhlafi

“…The resulting higher-order nonlinear ODEs are solved numerically using the bvp4c technique in MATLAB. …”
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Effect of crystalline lens decentration and tilt on visual performance in eyes implanted with bifocal or extended depth of focus intraocular lenses by Yu Zhang, Jiaqing Zhang, Chen Liang, Yifan Xu, Jiaying Wu, Junming Wu, Yifan Zhang, Aixia Jin, Xuhua Tan, Lixia Luo

“…Multiple 6-mm internal aberrations showed a nonlinear increase with greater crystalline lens decentration. …”
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An Approach to Reduce Tuning Sensitivity in the PIC-Based Optoelectronic Oscillator by Controlling the Phase Shift in Its Feedback Loop by Vladislav Ivanov, Ivan Stepanov, Grigory Voronkov, Ruslan Kutluyarov, Elizaveta Grakhova

“…The analytical model developed in this study calculates the OEO’s output frequency while accounting for nonlinear errors, enabling the consideration of various control schemes. …”
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Equalizer Design: HBOA-DE-trained radial basis function neural networks by Santosh Kumar Das, Satya Ranjan Pattanaik, Pradyumna Kumar Mohapatra, Saroja Kumar Rout, Abdulaziz S. Almazyad, Muhammed Basheer Jasser, Guojiang Xiong, Ali Wagdy Mohamed

“…As a further step in the evaluation of the HBOA-DE-based RBFNN equalizer, three non-linear channels and adding different nonlinearities have been simulated. The proposed algorithm is compared with well-known algorithms in terms of Mean Square Error (MSE) and Bit Error Rate (BER). …”
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A Comparative Study of Machine Learning Techniques for Predicting Mechanical Properties of Fused Deposition Modelling (FDM)-Based 3D-Printed Wood/PLA Biocomposite by Prashant Anerao, Atul Kulkarni, Yashwant Munde, Namrate Kharate

“…Given the intricate nature of the dataset and the presence of nonlinear relationships between parameters, XGBoost and AdaBoost exhibited exceptional performance. …”
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A Low Complexity Dual-Phase Alternating Scheme is Used With the PTS Method to Reduce PAPR for B5G Systems by Yung-Ping Tu, Chen-Wei Hsu

“…Of course, our proposed method&#x2019;s bit error rate (BER) consistently outperforms the original waveform due to a valid PAPR reduction that weakens nonlinear distortion from the power amplifier.…”
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Spatiotemporal Evolution and Driving Mechanisms of kNDVI in Different Sections of the Yangtze River Basin Using Multiple Statistical Methods and the PLSPM Model by Zhenjiang Wu, Fengmei Yao, Adeel Ahmad, Fan Deng, Jun Fang

“…In contrast, the kernel NDVI (kNDVI) demonstrates significant advantages in suppressing background noise and improving saturation thresholds through nonlinear kernel transformation, thereby enhancing sensitivity to vegetation changes. …”
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Petrophysical Regression regarding Porosity, Permeability, and Water Saturation Driven by Logging-Based Ensemble and Transfer Learnings: A Case Study of Sandy-Mud Reservoirs by Shenghan Zhang, Yufeng Gu, Yinshan Gao, Xinxing Wang, Daoyong Zhang, Liming Zhou

“…From a general review, most petrophysical models applied for the conventional logging interpretation imply that porosity, permeability, or water saturation mathematically have a linear or nonlinear relationship with well logs, and then arguing the prediction of these three parameters actually is accessible under a regression of logging sequences. …”
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Optimal exercise dose on Body Mass Index (BMI) in children and adolescents with overweight and obesity: a systematic review and bayesian model-based network meta-analysis by Zan Huang, Gang Sun, Jiayu Li, Bin Zhang, Guangping Lai, Hongwei Jing, Yulan Zhou

“…There was an ‘L’-shaped nonlinear dose-response relationship between total exercise dose and BMI, with 200 METs-min/day identified as the minimum exercise dose required to achieve a clinically meaningful reduction in BMI. …”
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Dynamic Interrelation between Aggregated Revenues and Expenditures of Regional-Level Budgets of Federal States: A Time-Frequency Approach to Analysis by Alan K. Karaev, Oksana S. Gorlova, Vadim V. Ponkratov, Margarita L. Vasyunina, Andrey I. Masterov, Hongor N. Zambaev, Lolita H. Gueva

“…The theoretical significance of the study lies in the substantiation that continuous wavelet analysis is a powerful tool for studying the nonlinear relationship between revenues and expenditures, since understanding the causalities between revenues and expenditures on various time scales is significant for choosing measures aimed at maintaining the budget sustainability of the federal constituent entities. …”
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High Body Roundness Index Is Associated With Unhealthy Sleep Patterns: Insights From NHANES (2007–2014) by Pingchuan Liu, Yuding Luo, Xing He, Jiali Zhang, Fanzhou Ren, Bingyang Zhang, Bo Zheng, Jian Wang

“…The RCS analysis found that the nonlinear association between BRI and unhealthy sleep patterns was not significant. …”
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Numerical Simulation of Multi-point Corona Discharge Characteristics in Thunderstorms by Xu Dewang, Tan Yongbo

“…If the point does not release a corona charge, the suppression electric field at the point is nonlinearly related to the environmental electric field. …”
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Association between Chinese visceral adiposity index and lower urinary tract symptoms suggestive of benign prostatic hyperplasia (LUTS/BPH): a national cohort study by Kunhui Chang, Bo Li, Gang Wang, Hao Zhou, Yonghao Chen, Hongbing Gu

“…The study highlighted a nonlinear relationship between LUTS/BPH and several obesity-related indices, including CVAI. …”
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Mechanical Response of Industrial Concrete with SFRC and PFRC by José Ángel Ortíz-Lozano, Silvia Rodríguez-Narciso, Julián Carrillo, Juan Antonio Hernández-Andrade, Jesús Pacheco-Martínez, Martín Hernández-Marín, Albert de la Fuente-Antequera

“…In the second stage, statistical analysis and modeling with nonlinear analysis were used to evaluate the results, where residual strength improved but Poisson’s ratio decreased when the dosage of fibers was increased.…”
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Oxidative stress and retinopathy: evidence from epidemiological studies by Xiangliang Liu, Yu Chang, Yuguang Li, Yingrui Liu, Wei Song, Jin Lu, Naifei Chen, Jiuwei Cui

“…RCS analysis showed a significant overall association between higher OBS and reduced retinopathy risk, without a nonlinear pattern. In participants with retinopathy, higher OBS was linked to a 60% reduction in all-cause mortality (HR 0.40, 95% CI 0.24–0.66, P < 0.001). …”
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