The Statistical Detecting of Sulfur Hexafluoride and Nitrous Oxide Effect on Seasonal Rainfalls in Iran During Recent Decade by Yosef Ghavidel Rahimi, Maysam Tolabi Nejad, Manochehr Farajzadeh

“…In fact, they are among the progressive networks with supervising training algorithms and suitable for nonlinear data. Other two categories of training algorithms including BP training algorithms and number normalization algorithm were used for training of networks. …”
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Flexural Behavior of UHPC Beams Reinforced with Macro-Steel Fibers and Different Ratios of Steel and GFRP Bars by Yousef Abbasi Parvin, Taleb Moradi Shaghaghi, Masoud Pourbaba, Seyed Saeed Mirrezaei, Yousef Zandi

“…Similar procedure was carried for beams reinforced with conventional rebars. Additionally, Nonlinear regression analyses were also carried out to simulate the flexural load-deflection behavior of the beams. …”
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Research on NOFRF Entropy-Based Detection Method for Early Damage of Pillar Porcelain Insulator by Hanling Mao, Weili Tang, Yingxiang Huang, Hanying Mao, Zhenfeng Huang, Xinxin Li

“…Small damage of it may even cause a disaster. Nonlinear output frequency response functions (NOFRFs) can well reflect the nonlinear characteristics of early damage in the system. …”
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A Step Towards Neuroplasticity: Capsule Networks with Self-Building Skip Connections by Nikolai A. K. Steur, Friedhelm Schwenker

“…As a necessary precondition, we introduce the concept of Adaptive Nonlinearity Gates (ANG)s which dynamically steer and limit the usage of nonlinear processing. …”
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Gas-Water Flow Behavior in Water-Bearing Tight Gas Reservoirs by Renyi Cao, Liyou Ye, Qihong Lei, Xinhua Chen, Y. Zee Ma, Xiao Huang

“…Therefore, a reasonable drawdown pressure should be set to minimize the damage of nonlinear factors to gas recovery.…”
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Product Replacement Policy in a Production Inventory Model with Replacement Period-, Stock-, and Price-Dependent Demand by Subhajit Das, Amalesh Kumar Manna, Emad E. Mahmoud, Kholod M. Abualnaja, Abdel-Haleem Abdel-Aty, Ali Akbar Shaikh

“…This work also leads two vital assumptions: (i) customers’ demand is depending on the replacement period, stock level, and selling price of the product and (ii) the rate of replacement loss of manufacturer’s capital is dependent on the replacement period, and it is a nonlinear function. Since the corresponding optimization problem is highly nonlinear, we have solved it by MATHEMATICA software. …”
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Periodic solutions for a class of perturbed sixth-order autonomous differential equations by Chems Eddine Berrehail, Amar Makhlouf

“…The averaging theory is a classical tool for the study of the dynamics of nonlinear differential systems with periodic forcing. …”
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Modeling and 1 : 1 Internal Resonance Analysis of Cable-Stayed Shallow Arches by Jiangen Lv, Zhicheng Yang, Xuebin Chen, Quanke Wu, Xiaoxia Zeng

“…Integrodifferential equations with quadratic and cubic nonlinearities are used to model the in-plane motion of a simple cable-stayed shallow arch. …”
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Evaluation of Soil Quality for Different Types of Land Use Based on Minimum Dataset in the Typical Desert Steppe in Ningxia, China by Ying Tian, Zhe Xu, Jun Wang, Zhanjun Wang

“…This research used the total dataset (TDS), minimum dataset (MDS), approaches dealing with selecting better indexes, and scoring methods utilizing linear and nonlinear expressions to assess the typical desert grasslands in Yanchi County, Ningxia, China. …”
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On Behavioral Response of 3D Squeezing Flow of Nanofluids in a Rotating Channel by Mubashir Qayyum, Omar Khan, Thabet Abdeljawad, Naveed Imran, Muhammad Sohail, Wael Al-Kouz

“…Using Navier–Stokes equations along with suitable similarity transformations, a nonlinear coupled ordinary differential system has been derived which models the 3D squeezing flow of nanofluids with lower permeable stretching porous wall where the channel is also rotating. …”
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Research on Fault Feature Extraction Method of Rolling Bearing Based on NMD and Wavelet Threshold Denoising by Maohua Xiao, Kai Wen, Cunyi Zhang, Xiao Zhao, Weihua Wei, Dan Wu

“…As it is difficult to extract the fault characteristic frequency caused by nonlinear and nonstationary features of the rolling bearing fault signal, this paper presents a fault feature extraction method of rolling bearing based on nonlinear mode decomposition (NMD) and wavelet threshold denoised method. …”
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Travel Choice Behavior Model Based on Mental Accounting of Travel Time and Cost by Shixu Liu, Jianchao Zhu, Said M. Easa, Lidan Guo, Shuyu Wang, Haoyu Wang, Yijian Xu

“…Model parameters are estimated using nonlinear regression, and the utility calculation principles are developed under different hypothetical scenarios. …”
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Design of Satellite Attitude Control Algorithm Based on the SDRE Method Using Gas Jets and Reaction Wheels by Luiz C. G. de Souza, Victor M. R. Arena

“…The SDRE controller design takes into account the effects of the plant nonlinearities and system noise which represents uncertainty. …”
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The link between the atherogenic index of plasma and the risk of hypertension: Analysis from NHANES 2017-2020. by Kaiyou Liu, Qingwei Ji, Shaoming Qin, Ling Liu, Hongwei Zhang, Huating Huang, Guihua Li, Junjun Chen

“…RCS found that there existed a nonlinear association between AIP and the incidence of hypertension (p<0.001). …”
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Geometric model for dynamics of motor-driven centrosomal asters by Yuan-Nan Young, Vicente Gomez Herrera, Huan Zhang, Reza Farhadifar, Michael J. Shelley

“…Our findings both explain experimental observations, providing insights into the mechanisms governing spindle positioning and cell division dynamics, and show the possibility of new nonlinear phenomena in cell biology.…”
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Point of Common Coupling Voltage Modulated Direct Power Control of Grid-Tied Photovoltaic Inverter for AC Microgrid Application by Shameem Ahmad, Hamza Mubarak, Umme Kulsum Jhuma, Tofael Ahmed, Saad Mekhilef, Hazlie Mokhlis

“…The proposed PCC voltage modulated (PVM) theory-based DPC method (PVMT-DPC) is composed of nonlinear PVM, nonlinear damping, conventional feedforward, and feedback PI controllers. …”
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Simplified internal models in human control of complex objects. by Salah Bazzi, Stephan Stansfield, Neville Hogan, Dagmar Sternad

“…Humans are skillful at manipulating objects that possess nonlinear underactuated dynamics, such as clothes or containers filled with liquids. …”
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Size Effect of Concrete Specimens on the Acoustic Emission Characteristics under Uniaxial Compression Conditions by Jianbo Wu, Enyuan Wang, Xuekun Ren, Mingwei Zhang

“…The cumulative AE rings at the peak stress showed nonlinear growth with the increase of the concrete size. …”
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Fast Attitude Maneuver of a Flexible Spacecraft with Passive Vibration Control Using Shunted Piezoelectric Transducers by Bassam A. Albassam

“…To simplify the analysis, the nonlinear ordinary differential equations of motion are then obtained using the assumed mode method. …”
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The Integration of Multimodal Networks: The Generalized Modal Split and Collaborative Optimization of Transportation Hubs by Yifei Cai, Jun Chen, Da Lei, Jiang Yu

“…The GMS/TAP is formulated as a nonlinear optimization problem (NLP) and is solved using a hybrid method of the successive average (MSA) algorithm. …”
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