Stability analysis of the tunnel face adjacent to longitudinal stratigraphic interface using the upper bound theorem by Jian Shi, Shilin Zhang, Binghe Zhang, Sen Teng, Mingkai Zhao

“…Then, the critical support pressure was evaluated in the context of kinematic limit analysis and the nonlinear Hoek-Brown failure criterion. The validity of the proposed model was confirmed by comparison with numerical simulations and theoretical results from literature. …”
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A Study on the Spatiotemporal Heterogeneity and Driving Forces of Ecological Resilience in the Economic Belt on the Northern Slope of the Tianshan Mountains by Keqi Li, Qingwu Yan, Zihao Wu, Guie Li, Minghao Yi, Xiaosong Ma

“…And among different factors, the dual-factor enhancement effect is greater than the nonlinear enhancement of a single factor. (3) Human activities are important influencing factor, and the impact of urban expansion and economic growth on ecological resilience is becoming increasingly significant. …”
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Association between the neutrophil-to-high-density lipoprotein cholesterol ratio with kidney stone risk: a cross-sectional study by Yuan-Zhuo Du, Jia-Qing Yang, Ji-Ming Yao, Chi-Teng Zhang, Yi-Fu Liu

“…Participants in the highest tertile of NHR had a 34% increased chance of kidney stone development compared to those in the lowest tertile. A nonlinear connection between NHR and kidney stone risk was identified using restricted cubic spline (RCS) regression models. …”
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An integrated decision-making approach to resilience–LCC Bridge network retrofitting using a genetic algorithm-based framework by Pedram Omidian, Naser Khaji, Ali Akbar Aghakouchak

“…The first step in the proposed framework involves constructing fragility curves by performing a series of nonlinear time-history incremental dynamic analyses for each case. …”
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Association between triglyceride-glucose index and carotid atherosclerosis in Chinese steelworkers: a cross-sectional study by Haoyue Cao, Qinglin Li, Juxiang Yuan

“…Steelworkers exposed to occupational hazards had a higher risk of CAS compared to those not exposed. There was a nonlinear positive correlation between the TyG index and CAS (P < 0.05), and the risk of CAS increased when TyG > 8.72. …”
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Analysis of mechanical properties and energy evolution mechanism of frozen calcareous clay under multi-factor interaction by Jihao Feng, Hao Shi, Chuanxin Rong, Lei Song, Wei Long, Jianpeng Liu, Di Wei, Gangjian An

“…In this study, a four-factor, four-level orthogonal test was devised, taking into account temperature, confining pressure, dry density, and water content. The complex nonlinear curvilinear relationship between deviatoric stress, volume strain, and axial strain of frozen calcareous clay under different interaction levels was analyzed. …”
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Gyrokinetic simulations of the effects of magnetic islands on microturbulence in KSTAR by Xishuo Wei, Javier H Nicolau, Gyungjin Choi, Zhihong Lin, Seong-Moo Yang, SangKyeun Kim, WooChang Lee, Chen Zhao, Tyler Cote, JongKyu Park, Dmitri Orlov

“…Simulations show that the transport is controlled by the nonlinear interactions between the ITG turbulence and self-generated vortex flows and zonal flows, leading to an anisotropic structure of fluctuation and transport on the poloidal plane and in the toroidal direction. …”
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A Fourfold Bi-Filter and Permuted Bi-Quad-Wrapper Feature Selection Method for Finding Optimal Moments of Multi-Trajectory Transient Records in Transient Analysis by Seyed Alireza Bashiri Mosavi, Omid Khalaf Beigi

“…Fast and accurate transient analysis (TA) requires a meticulously explored nonlinear transient excursion space (NTES). Hence, designing a polyhedral feature selection scheme (FSS) to fix the TA bottleneck raised by feeding non-discriminative transient records into predictive models is a significant task to avoid discordant TA indices results. …”
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Association between advanced lung cancer inflammation index and all-cause and cause-specific mortality among asthma patients: a cohort study by Tu-Lei Tian, Xiang-Kun Qu, Hong-Bo Zhang, Cun-Cun Wang, Qing-Qing Yuan, Jing Xia, Li-Fang Cao, Kui Liu

“…Additionally, restricted cubic spline models were applied to explore potential nonlinear trends, while segmented Cox models were used to identify threshold effects. …”
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NARX Neural Network Derivations of the Outer Boundary Radiation Belt Electron Flux by D. A. Landis, A. A. Saikin, I. Zhelavskaya, A. Y. Drozdov, N. Aseev, Y. Y. Shprits, M. F. Pfitzer, A. G. Smirnov

“…GOES‐15 measurements of 0.8 MeV electrons were used to train a Nonlinear Autoregressive with Exogenous input (NARX) neural network for both modeling GOES‐15 flux values and an upper boundary condition scaling factor (BF). …”
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Atomically engineering interlayer symmetry operations of two-dimensional crystals by Ziyi Han, Shengqiang Wu, Chun Huang, Fengyuan Xuan, Xiaocang Han, Yinfeng Long, Qing Zhang, Junxian Li, Yuan Meng, Lin Wang, Jiahuan Zhou, Wenping Hu, Jingsi Qiao, Dechao Geng, Xiaoxu Zhao

“…Some higher-order phases such as 6 R, 12 R, and 18 C can be accessed, exhibiting modulated nonlinear optical responses suggested by first-principle calculations. …”
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Effects of socioeconomic and human-modified landscape variables on medicinal species richness at a macroscale: the case of the Caatinga, Brazil by Aníbal Silva Cantalice, Thiago Gonçalves-Souza, Ulysses Paulino Albuquerque

“…The interaction between human-modified landscapes and socioeconomic status revealed a significant nonlinear relationship, with different combinations yielding varying levels of knowledge about woody medicinal species. …”
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Molecular structure, UV–Visible spectra and other molecular properties of (E)-2-(2-hydroxy-5-methoxybenzylidene)hydrazinecarbothioamide and its n-methyl variant by using DFT method... by K. Srishailam, L. Ravindranath, Gaddam. Ramesh, D. Praveena, Sunil kumar V, Danikonda.Suresh Kumar, S. Muthu, G.Ramana Rao

“…For the two compounds under investigation, specific global reactivity descriptors were estimated with the help of frontier molecular orbital (FMO) analysis to understand the origin of UV–Vis spectra. Nonlinear optical (NLO) profile, for each of the two molecules, was computed, with in the frame work of the DFT/B3LYP/6–311++G(d,p) formalism to determine their utility for NLO applications. …”
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The Impact of Farmland Transfer on Urban–Rural Integration: Causal Inference Based on Double Machine Learning by Yuchen Lu, Jiakun Zhuang, Jun Chen, Chenlu Yang, Mei Kong

“…The influence of land transfer on urban–rural integration varies with economic development levels, demonstrating a nonlinear relationship, with the most pronounced effects observed in regions with moderate economic development. …”
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Impact of nanoparticles shapes and fuzzy volume fraction on Al2O3 – H2O nanofluid flow past an unsteady expandable surface by Adnan Saeed Butt, Naveed Yaqoob, Sameea Akbar, Gul M. Shaikh, Adeeba Farhat, Fouzia Amir, Mohamed R. Ali

“…The goal is to simplify the nonlinear partial differential equations (PDEs) through appropriate transformations, converting them into ordinary differential equations (ODEs). …”
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The Research and Mechanism of Extracting Vitamin B6 Using Aqueous Two-Phase Systems by Changyu Lu, Luning Gao, Aibing Chen, Duo Li, Yahong Zhou

“…Binodal curves were fitted to three empirical nonlinear equations, whereas tie-lines were fitted to the Setschenow-type equation and another two-parameter equation. …”
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Development of a fixed-order $$H_{\infty }$$ controller for a robust P&O-MPPT strategy to control poly-crystalline solar PV energy systems by Moussa Sedraoui, Mohcene Bechouat, Ramazan Ayaz, Yahya Z. Alharthi, Abdelhalim Borni, Layachi Zaghba, Salah K. ElSayed, Yayehyirad Ayalew Awoke, Sherif S. M. Ghoneim

“…This modification leads to determining and linearizing the nonlinear current-voltage (I-V) characteristics of the photovoltaic (PV) array near standard test conditions (STC), resulting in an uncertain equivalent resistance used to synthesize an overall model. …”
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Thermal and solutal performance analysis featuring fully developed chemically reacting micro-rotational convective flow in an open-ended vertical channel by G.T. Gitte, Shreedevi Kalyan, H. Saraswathi, Vinod Kulkarni, Mohammed Jameel, Jagadish V. Tawade, Nitiraj Kulkarni, Barno Abdullaeva, Refka Ghodhbani, M. Waqas

“…Each of the two streams has its pressure gradient, temperature and velocity, and the channel is partitioned into two channels by a thin baffle that is fully conductive and flat in shape. The coupled nonlinear ordinary differential equations are solved using appropriate boundary constraints. …”
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A Novel Construction of Substitution Box Based on Polynomial Mapped and Finite Field With Image Encryption Application by Abid Mahboob, Muhammad Asif, Imran Siddique, Aysha Saleem, Muhammad Nadeem, Dariusz Grzelczyk, Jan Awrejcewicz

“…In the modern block cipher, the substitution box (S-box) is a nonlinear constituent that plays a substantial role to create the confusion in ciphertext. …”
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U-shaped relationship between uric acid levels and all-cause mortality in patients with hypertension by Yating Huang, Jie Li, Feifei Sun, Huining Zhou, Hua Jiang, Liang Chen

“…However, the relationship between UA and all-cause mortality in patients with hypertension remains underexplored. A nonlinear association between UA and all-cause mortality across sexes was observed through smoothed curve fitting. …”
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