Geodetic Evidence of the Interannual Fluctuations and Long-Term Trends Over the Antarctic Ice Sheet Mass Change by Yuanjin Pan, Xiaohong Zhang, Jiashuang Jiao, Hao Ding, C. K. Shum

“…In this study, these two aspects were quantitatively analyzed through global positioning system (GPS) and gravity recovery and climate experiment/follow on (GRACE/GFO) over the past two decades. The nonlinear variation of GPS-inferred vertical land motion (VLM) and the influence of surface elastic load are of particular concern. …”
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Comparison of Reference Heights of O/N2 and ∑O/N2 Based on GUVI Dayside Limb Measurement by Tingting Yu, Zhipeng Ren, You Yu, Xinan Yue, Xu Zhou, Weixing Wan

“…An empirical model of transition height (O/N2 model hereafter) is established based on nonlinear least‐squares‐fitting method. The considerable correlation (greater than 0.96), insignificant errors (less than 4%) and the great influencing weight of ∑O/N2 to reference heights indicate the validity of O/N2 model and the existence of quantitative relation between ∑O/N2 and transition height. …”
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Clinical significance of the lactate-to-albumin ratio on prognosis in critically ill patients with acute kidney injury by Xiaoyun Shi, Lei Zhong, Jianhong Lu, Beiping Hu, Qikai Shen, Penghui Gao

“…ROC curve was used to determine the diagnostic efficacy of LAR on prognosis.Results A nonlinear relationship was observed between LAR and the risk of 30-day and 360-day all-cause mortality in AKI patients (p < 0.001). …”
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Tension and compression of flat [+-45o]2s specimens from fiber reinforced plastic: Numerical and experimental investigation of forming stresses and strains by V.N. Paimushin, R.A. Kaymov, V.A. Firsov, R.K. Gazizullin, S.A. Kholmogorov, M.A. Shishov

“…The obtained results allow to indicate areas in which the implementation and continuous change of internal non-classical buckling modes of structural elements of fibrous composites are possible during the loading process, which is probably one of the reasons for the physically nonlinear behavior of specimens with the [±45°]2s lay-up under tension and compression.…”
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On Cattaneo-Chrystov heat flux model for nanofluid flow on Darcy–Forchheimer porous medium past unsteady stretching cylinder by Sreedhar Sobhanapuram, S.V.V Rama Devi, Charankumar Ganteda, Rajyalakshmi Kottapalli, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat

“…The governing boundary evaluates issue of the flow regime is formulated utilizing the conservation laws of mass, momentum, energy. A couple of nonlinear partial differential constitutions are used to express the flow. …”
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Compressive Strength of Fly-Ash-Based Geopolymer Concrete by Gene Expression Programming and Random Forest by Mohsin Ali Khan, Shazim Ali Memon, Furqan Farooq, Muhammad Faisal Javed, Fahid Aslam, Rayed Alyousef

“…The proposed GEP equation is used for sensitivity analysis and parametric study and then compared with nonlinear and linear regression expressions.…”
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Comparison of the Applicability of Two Reanalysis Products in Estimating Tall Tower Wind Based on Multiple Linear Regression and Artificial Neural Network in South China by Xiangxiang Li, Xiaochen Qin, Jun Yang, Weiming Xu

“…For each TTO, linear and nonlinear downscaling techniques, namely, multiple linear regression (MLR) and an artificial neural network (ANN), respectively, were adopted for the downscaling of the scalar wind speed and the corresponding U/V components. …”
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Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media by Ayesha Aktar, Sharaban Thohura, Md. Mamun Molla

“…The dimensional governing boundary layer equations are initially transformed into a convenient non-dimensional form utilizing the non-dimensional variables. The resulting nonlinear systems of equations are then numerically solved inside the computing domain into a regular rectangle using the effective Finite Difference Method (FDM).  …”
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Accurate and optimal control of a bidirectional DC-DC converter: A robust adaptive approach enhanced by particle swarm optimization by Julius Derghe Cham, Francis Lénine Djanna Koffi, Alexandre Teplaira Boum, Ambe Harrison, Paul Michael Dongmo Zemgue, Njimboh Henry Alombah

“…To address the control requirements of this system, this paper proposes a robust adaptive nonlinear control strategy based on adaptive sliding mode controller. …”
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Gamma-Ray Bursts and Kilonovae from the Accretion-induced Collapse of White Dwarfs by Patrick Chi-Kit Cheong, Tetyana Pitik, Luís Felipe Longo Micchi, David Radice

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Innovative Diversity Metrics in Hierarchical Population‐Based Differential Evolution for PEM Fuel Cell Parameter Optimization by Mohammad Khishe, Pradeep Jangir, Arpita, Sunilkumar P. Agrawal, Sundaram B. Pandya, Anil Parmar, Laith Abualigah

“…This involves a complex, nonlinear, and multivariable numerical optimization challenge. …”
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Distorting crack-front geometry for enhanced toughness by manipulating bioinspired heterogeneity by Kaijin Wu, Zhaoqiang Song, Mengqi Liu, Zewen Wang, Si-Ming Chen, Shu-Hong Yu, Linghui He, Yong Ni

“…We reveal theoretically and demonstrate experimentally that the local mixed-mode I + II + III fracture triggered by local anisotropic heterogeneities lead to a helical crack front in a representative heterogeneous system with bioinspired twisted plywood structures under remote mode I loading. An anomalous nonlinear law of both the enhanced fracture resistance and the helical crack-front length versus the microstructural orientation is revealed, in contrast to the linear toughening law ignoring the hidden 3D topography within crack fronts. …”
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Impacts of climate change on the suitable habitat of Angelica sinensis and analysis of its drivers in China by Shaoyang Xi, Xudong Guo, Xiaohui Ma, Ling Jin

“…The interactions between environmental factors, characterized by mutual and nonlinear enhancement, further influence the spatial differentiation of suitability zones. …”
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Performance, isotherm, kinetics and mechanism of simultaneous removal of Cr(VI), Cu(II) and F ions by CeO2–MgO binary oxide nanomaterials by Rumman Zaidi, Saif Ullah Khan, Izharul Haq Farooqi, Faheem Ahmed, Abdullah Alsulami, Ameer Azam, Saleh O. Allehabi

“…The adsorption isotherms for Cr(VI), Cu(II), and F− followed the Freundlich isotherm model and the pseudo-second-order kinetic model in linear and nonlinear forms, indicated multilayer adsorption. Maximum removal of Cr(VI), Cu(II), and F− ions was found to be 92.84%, 98.88%, and 95%, respectively, for a high initial concentration of 50 mg/l by 2 g/l dosages of prepared CeO2-MgO binary oxide nanomaterials employed as an adsorbent in this study. …”
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Chemical reactions with the Casson nanofluid flow by the bioconvective behavior of microorganisms over a spinning disc by Prabhakar Sagadevan, Umadevi Raju, Meganathan Murugesan, Unai Fernandez-Gamiz, Samad Noeiaghdam

“…Using the right variables to change the nonlinear partial differential equations (PDEs) that govern the problem into a system of ordinary differential equations (ODEs) is a key step toward finding numerical solutions. …”
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The association of sexual frequency with cardiovascular diseases incidence and all-cause mortality by Tian-Qi Teng, Jing Liu, Meng-Meng Wang, De-Gang Mo, Rui Chen, Jia-Chao Xu, Zi-Han Dong, Ning Zhang, Hai-Chu Yu

“…Kaplan-Meier curves assessed survival probability stratified by sexual frequency, and a restricted cubic spline regression examined the nonlinear relationship between sexual frequency, CVD and survival status. …”
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Genome Mining and Characterization of Two Novel <i>Lacticaseibacillus rhamnosus</i> Probiotic Candidates with Bile Salt Hydrolase Activity by Gianluigi Agolino, Marianna Cristofolini, Amanda Vaccalluzzo, Davide Tagliazucchi, Alice Cattivelli, Alessandra Pino, Cinzia Caggia, Lisa Solieri, Cinzia Lucia Randazzo

“…However, BAs stress increased the <i>bsh</i> gene transcription in the VB1 strain but not in the VB4 strain, suggesting a partially nonlinear relationship between BSH activity and gene expression. …”
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Complex spatio-temporal features in meg data by Francesca Sapuppo, Elena Umana, Mattia Frasca, Manuela La Rosa, David Shannahoff-Khalsa, Luigi Fortuna, Maide Bucolo

“…Magnetoencephalography (MEG) brain signals are studied usinga method for characterizing complex nonlinear dynamics. This approach usesthe value of $d_\infty$ (d-infinite) to characterize the system’s asymptotic chaoticbehavior. …”
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Two-Step Deep Learning Approach for Estimating Vegetation Backscatter: A Case Study of Soybean Fields by Dong Zhu, Peng Zhao, Qiang Zhao, Qingliang Li, Jinpeng Zhang, Lixia Yang

“…Deep learning (DL) works as a powerful tool to analyze complex data and approximate the nonlinear relationship between variables, thus exhibiting potential applications in microwave scattering problems. …”
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Discrete Fractional-Order Modeling of Recurrent Childhood Diseases Using the Caputo Difference Operator by Yasir A. Madani, Zeeshan Ali, Mohammed Rabih, Amer Alsulami, Nidal H. E. Eljaneid, Khaled Aldwoah, Blgys Muflh

“…Ulam stability is demonstrated using nonlinear functional analysis. Sensitivity analysis is conducted based on the variation of each parameter, and the basic reproduction number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msub><mi mathvariant="script">R</mi><mn>0</mn></msub><mo>)</mo></mrow></semantics></math></inline-formula> is introduced to assess local stability at two equilibrium points. …”
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