Self-adaptive physics-informed quantum machine learning for solving differential equations by Abhishek Setty, Rasul Abdusalamov, Felix Motzoi

“…Chebyshev polynomials have shown significant promise as an efficient tool for both classical and quantum neural networks to solve linear and nonlinear differential equations (DEs). In this work, we adapt and generalize this framework in a quantum machine learning setting for a variety of problems, including the 2D Poisson’s equation, second-order linear DE, system of DEs, nonlinear Duffing and Riccati equation. …”
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The work of Glenn F. Webb by William E. Fitzgibbon

“…He is a Fellow of the American Mathematical Society.Glenn's scientific career chronicles an evolution of scientific workthat began with his interest in nonlinear semigroup theory and leads up tohis current activity in biomedical mathematics. …”
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Study on Bearing Capacity of the Existing Engineering Pile Group without Lateral Displacement during Dynamic Top-Down Construction by Zhen Wang, Yang Zhao, Xuelin Yang, Zhi Ding, Wenwei Zhu, Qingzhong Wang

“…The corresponding critical stability load and the effective length coefficient were then obtained. Then, based on the nonlinear extreme point stability method with the initial geometrical imperfection, the amplification range for the effective length coefficient was studied. …”
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LPI Optimization Framework for Target Tracking in Radar Network Architectures Using Information-Theoretic Criteria by Chenguang Shi, Fei Wang, Mathini Sellathurai, Jianjiang Zhou

“…The resulting nonconvex and nonlinear LPI optimization problems associated with different information-theoretic criteria are cast under a unified framework, and the nonlinear programming based genetic algorithm (NPGA) is used to tackle the optimization problems in the framework. …”
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Terahertz generation from surface of the bulk and monolayer tungsten diselenide by D. I. Khusyainov, A. V. Gorbatova, A. M. Buryakov

“…The analysis results confirm that the only possible contribution to the generation of terahertz radiation in a tungsten diselenide monolayer crystal is the second order nonlinear optical effect – optical rectification. One of the contributions to the generation of tungsten diselenide is a nonlinear-optical effect of the third order – surface optical rectification.…”
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Experimental and analytical investigation of hydraulic conductivity, energy dissipation, and drag forces in gradually varied flow conditions through rockfill media by Jafar Chabokpour

“…It was observed that energy losses were nonlinear to the Reynolds number; furthermore, they changed from 0.02 to 0.14 m along the media length. …”
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Cleaning Schedule Optimization of Heat Exchangers with Fouling on Tube and Shell Sides: A Metaheuristic Approach by João P. V. de Cesaro, Mauro A. S. S. Ravagnani, Fernando D. Mele, Caliane B. B. Costa

“…Additionally, the relationship between cleaning actions and PHT performance is nonlinear, with diminishing returns from additional cleaning, and optimal cleaning schedules are often asymmetric for different HEXs within the same PHT. …”
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Experimental Verification of the Adequacy of Mathematical Model of the Reciprocating Electric Electromagnetically Excited Generator by A. B. Menzhinski, A. N. Malashin, Yu. V. Sukhodolov

“…Comparison of experimental and calculated results demonstrated their discrepancy of no more than 4 %; therefore, the nonlinear mathematical model reflects the characteristics of the generator of longitudinal type with a high degree of adequacy.…”
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Spot Price Prediction of Resources in Cloud Computing by Proposing a New Structure in Deep Learning Method Considering the Level of QOS by Seyed soroush Nezamdoust, Mohammad Ali Pourmina, Farbod Razzazi

“…Forecasting such dynamic time series that follow the nonlinear model requires intelligent tools such as neural networks to be able to predict the future values with the least error by observing the values of a time series. …”
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Correlation between the Systemic Immunoinflammatory Index and Platelet–Lymphocyte Ratio in Patients with Adenomyosis by Yan Dong, YaHui Chen, YaNan Wang, Lin Wang, Yan Zhou, Mei Xue, Lin Sun

“…In conclusion, this study showed a nonlinear relationship between SII and PLR in patients with uterine adenomyosis. …”
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K-SMPC: Koopman Operator-Based Stochastic Model Predictive Control for Enhanced Lateral Control of Autonomous Vehicles by Jin Sung Kim, Ying Shuai Quan, Chung Choo Chung, Woo Young Choi

“…The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional space. …”
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Nanoscale polarization transient gratings by Laura Foglia, Björn Wehinger, Giovanni Perosa, Riccardo Mincigrucci, Enrico Allaria, Francesco Armillotta, Alexander Brynes, Matthew Copus, Riccardo Cucini, Dario De Angelis, Giovanni De Ninno, W. Dieter Engel, Danny Fainozzi, Luca Giannessi, Ezio Iacocca, Nupur N. Khatu, Simone Laterza, Ettore Paltanin, Jacopo Stefano Pelli-Cresi, Giuseppe Penco, Denny Puntel, Primož Rebernik Ribič, Filippo Sottocorona, Mauro Trovò, Clemens von Korff Schmising, Kelvin Yao, Claudio Masciovecchio, Stefano Bonetti, Filippo Bencivenga

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The atherogenic index of plasma is associated with an increased risk of diabetes in non-obese adults: a cohort study by Jun Cao, Zhaohai Su, Jiangyong Yang, Bilong Zhang, Rengui Jiang, Weiling Lu, Zhenhua Huang, Zhenhua Huang, Zheng Xie

“…We also identified a nonlinear relationship between AIP and diabetes risk. …”
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Linear and Riccati matrix equations by Lloyd K. Williams

“…In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients. Other nonlinear systems of triangular form are also solved completely.…”
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Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application by Lucas Wangwe

“…Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.…”
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Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces by A. Elmahi, D. Meskine

“…Existence result for strongly nonlinear elliptic equation with a natural growth condition on the nonlinearity is proved.…”
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Navier-Stokes Equations with Potentials by Adriana-Ioana Lefter

“…Using the theory of nonlinear semigroups, we prove existence results for strong and weak solutions. …”
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Bifurcation Problems for Generalized Beam Equations by Fosheng Wang

“…The proof of the main results relies heavily on calculus facts rather than such complicated arguments as Lyapunov-Schmidt reduction technique or Morse index theory from nonlinear functional analysis.…”
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian by Qing-Mei Zhou

“…A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. …”
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On the linearized stability of age-structured multispecies populations by Jozsef Z. Farkas

“…We consider a general nonlinear age-structured population model with n interacting species. …”
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