Differential impact of TyG and TyG-BMI indices on short- and long-term mortality in critically ill ischemic stroke patients by Yufan Pu, Na Xing, Ying Wang, Huihuang Wang, Jiang Xu, Xuejing Li

“…However, a significant nonlinear relationship was observed between the TyG index and long-term mortality. …”
Get full text

Assessment of six insulin resistance surrogate indexes for predicting stroke incidence in Chinese middle-aged and elderly populations with abnormal glucose metabolism: a nationwide... by Luqing Jiang, Tengxiao Zhu, Wenjing Song, Ying Zhai, Yu Tang, Fengxia Ruan, Zichen Xu, Lei Li, Xia Fu, Daoqin Liu, Aidong Chen, Qiwen Wu

“…Dose-response analyses showed that eGDR, CVAI, TyG-BMI and METS-IR were linearly associated with stroke risk (P nonlinear ≥ 0.05), whereas TyG and AIP were nonlinearly associated with stroke risk (P nonlinear < 0.05). …”
Get full text

Association between lymphocyte to high-density lipoprotein cholesterol ratio and insulin resistance and metabolic syndrome in US adults: results from NHANES 2007–2018 by Junwei Guo, Kelibinuer Mutailipu, Xin Wen, Jiajing Yin, Hui You, Shen Qu, Haibing Chen, Le Bu

“…Restricted cubic spline analyses revealed nonlinear associations between LHR and both IR and MetS. …”
Get full text

Association Between Urinary Metal Levels and Chronic Kidney Dysfunction in Rural China: A Study on Sex-Specific Differences by Kaisheng Teng, Qinyi Guan, Qiumei Liu, Xiaoting Mo, Lei Luo, Jiahui Rong, Tiantian Zhang, Wenjia Jin, Linhai Zhao, Songju Wu, Zhiyong Zhang, Jian Qin

“…RCS analysis revealed nonlinear associations between V, Cu, Ba, Pb, and CKD (all <i>p</i>-nonlinear < 0.05). …”
Get full text

Lipschitz Analysis of g-Phase Retrievable Frames by Mohammad Ali Hasankhani Fard

“…In this paper we study the Lipschitz analysis of the nonlinear map $\alpha_{\lambda,{\mathcal{F}}}:\widehat{\mathcal{H}_n}\longrightarrow\mathbb{F}^m, \ \ \ \alpha_{\lambda,{\mathcal{F}}}(\hat{x}):=\begin{bmatrix}\lambda\left( \left\langle {x,f_k}\right\rangle\right)\end{bmatrix}_{1\leq k\leq m}$, where $\widehat{\mathcal{H}_n}$ is the quotient space corresponding to a special equivalence relation on $\mathcal{H}_n$ with respect to phase coefficient function $\lambda$,  $\mathcal{F}=\{f_k\}_{k=1}^m$ is a $\lambda$-phase retrievable frame for $\mathcal{H}_n$, $\mathbb{F}=\mathbb{R}$ for real Hilbert space $\mathcal{H}_n$ and $\mathbb{F}=\mathbb{C}$ for complex Hilbert space $\mathcal{H}_n$.…”
Get full text

Evaluation of Grey Relation between Chaotic Characteristic and Uncertainty of Rolling Bearing Vibration Performance by Liang Ye, Xintao Xia, Zhen Chang

“…The maximum value of entropy of each vibration sequence is solved by utilizing the maximum entropy method， so as to quantitatively analyze the uncertainty of bearing vibration performance. To analyze the nonlinear correlation degree between chaotic characteristics and uncertainty of bearing vibration performance， the grey relation analysis method is applied to calculate the grey confidence level between Hurst index and maximum entropy sequence after mean normalization. …”
Get full text

Surface Design and Strength Analysis of Porous Linear Diaphragm by Kangkang Ding, Yinxin Yu, Yingxian Zhang

“…The research shows that the axial stiffness of the porous linear diaphragm is smaller than that of the single-curvature diaphragm with the same diameter， which also shows nonlinear variation and is proportional to the thickness of the diaphragm. …”
Get full text

Controllability design of a memristive hyperchaotic map and the construction of optical fiber secure communication system by LI Chunbiao, LI Yongxin, ZHONG Qing, YANG Yong, AKGUL Akif

“…A discrete hyperchaotic map was constructed by introducing nonlinear feedback of the square memristor function, which has the properties of total amplitude control, partial amplitude control, and direct offset boosting of hyperchaotic sequences. …”
Get full text

Seismic Performance Evaluation of Special RC Frames with Gravity Steel Columns under the Base Level by Amin Zaherdannak, Amirhosein Shabani, Saeed Erfani

“…In this research, seismic performance of structures implementing the suggested alternative is evaluated using nonlinear static and dynamic analyses and compared to that of regular counterparts. …”
Get full text

Potential quantum advantage for simulation of fluid dynamics by Xiangyu Li, Xiaolong Yin, Nathan Wiebe, Jaehun Chun, Gregory K. Schenter, Margaret S. Cheung, Johannes Mülmenstädt

“…This is achieved via a combination of reformulating the Navier-Stokes nonlinearity (u·∇u) to lattice-Boltzmann nonlinearity (u^{2}) and accurately linearizing the dynamical equations, which effectively trades nonlinearity for additional degrees of freedom that add negligible expense in the quantum solver. …”
Get full text

An Iterative Method for Solving of Coupled Equations for Conductive-Radiative Heat Transfer in Dielectric Layers by Vasyl Chekurin, Yurij Boychuk

“…The mathematical model for describing combined conductive-radiative heat transfer in a dielectric layer, which emits, absorbs, and scatters IR radiation both in its volume and on the boundary, has been considered. A nonlinear stationary boundary-value problem for coupled heat and radiation transfer equations for the layer, which exchanges by energy with external medium by convection and radiation, has been formulated. …”
Get full text

Researches on Crack Propagation of the Two Filled Noncoalescent Coplanar Flaws under the High Strain Rate Loading by means of AUTODYN-Based Simulation by Guangming Zhao, Chongyan Liu, Cheng Pan, Xiangrui Meng

“…By turning to the Drucker-Prager strength model and cumulative damage criteria, investigations are made, with the nonlinear AUTODYN software, into crack propagation behaviors in crack-filled and unfilled specimens under uniaxial dynamic loading. …”
Get full text

Thermal and mass diffusion in chemically reactive, radiative hybrid nanofluid (Cu and TiO2) flow over a rotating disk by Raja Ram Meena, Pooja Sharma

“…The model was prepared in terms of the nonlinear PDEs and transformed into ODEs by using similarity analysis. …”
Get full text

Mathematical modelling and dynamic optimization of phase-locked loop systems using hybrid PSO-gradient descent approach by Mrinal Kanti Rajak, Rajen Pudur

“…A comprehensive mathematical model is developed, incorporating the nonlinear dynamics of the PLL system through differential equations and transfer functions. …”
Get full text

Optimal Design and Acoustic Assessment of Low-Vibration Rotor Blades by G. Bernardini, E. Piccione, A. Anobile, J. Serafini, M. Gennaretti

“…The process exploits an aeroelastic solver that is based on a nonlinear, beam-like model, suited for the analysis of arbitrary curved-elastic-axis blades, with the introduction of a surrogate wake inflow model for the analysis of sectional aerodynamic loads. …”
Get full text

Multiscale Permutation Entropy Based Rolling Bearing Fault Diagnosis by Jinde Zheng, Junsheng Cheng, Yu Yang

“…Thus, the definition of MPE is introduced and employed to extract the nonlinear fault characteristics from the bearing vibration signal in different scales. …”
Get full text

Decoherence in spin wave propagation via precursor pulses during signal equilibration by Cameron Aidan McEleney, Robert E. Camley, Rair Macêdo

“…Abstract The processes for generation, amplification, and protraction of oscillating signals—often for information transfer—are inherently associated with dispersive decoherence and nonlinear phenomena. One such example is the case of wave patterns of non-negligible amplitudes that can emerge due to dispersion of a signal propagating through matter; for a continuously applied drive these patterns precede the main signal. …”
Get full text

Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling by O. D. Makinde, S. Khamis, M. S. Tshehla, O. Franks

“…The governing partial differential equations and boundary conditions are converted into a set of nonlinear ordinary differential equations using appropriate similarity transformations. …”
Get full text

The Multiplex Dependency Structure of Financial Markets by Nicolò Musmeci, Vincenzo Nicosia, Tomaso Aste, Tiziana Di Matteo, Vito Latora

“…In particular, we consider multiplex networks made of four layers corresponding, respectively, to linear, nonlinear, tail, and partial correlations among a set of financial time series. …”
Get full text

A Novel SHLNN Based Robust Control and Tracking Method for Hypersonic Vehicle under Parameter Uncertainty by Chuanfeng Li, Hao Wu, Zhile Yang, Yongji Wang, Zeyu Sun

“…Hypersonic vehicle is a typical parameter uncertain system with significant characteristics of strong coupling, nonlinearity, and external disturbance. In this paper, a combined system modeling approach is proposed to approximate the actual vehicle system. …”
Get full text