Differential Calculus on N-Graded Manifolds by G. Sardanashvily, W. Wachowski

“…This fact enables us to extend the differential calculus on N-graded manifolds to formalism of nonlinear differential operators, by analogy with that on smooth manifolds, in terms of graded jet manifolds of N-graded bundles.…”
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CFA-Based Splicing Forgery Localization Method via Statistical Analysis by Lei Liu, Peng Sun, Yubo Lang, Jingjiao Li

“…However, interpolation algorithms commonly used in digital cameras are nonlinear, and their coefficients vary with content to enhance edge information. …”
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Modeling and Analysis of Unsteady Casson Fluid Flow due to an Exponentially Accelerating Plate with Thermal and Solutal Convective Boundary Conditions by Mehari Fentahun Endalew, Subharthi Sarkar

“…The scientific community will benefit greatly from this work since the findings can serve as benchmark solutions using numerical approaches to solve fully nonlinear flow governing problems.…”
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Numerical Investigation of Carbon Fiber Reinforced Polymer Confined Concrete-Filled Steel Tube Columns under Eccentric Load by Brhanu Degefa Zewdu, Temesgen Wondimu Aure

“…This study presents a nonlinear finite element (FE) investigation of the effects of the thickness of Carbon Fiber Reinforced Polymer (CFRP), the thickness of steel tube, cross-sectional shape, and slenderness effect of an FRP confined concrete-filled steel tube (FCCFST) column under eccentric load. …”
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Estimation of stationary and non-stationary moving average processes in the correlation domain. by Martin Dodek, Eva Miklovičová

“…This enables the derivation of a system of nonlinear equations to be solved for estimating the model parameters. …”
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Synchronous Reluctance Motor: Dynamical Analysis, Chaos Suppression, and Electronic Implementation by Balamurali Ramakrishnan, Andre Chéagé Chamgoué, Hayder Natiq, Jules Metsebo, Alex Stephane Kemnang Tsafack

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Neural Network Based Adaptive Backstepping Control for Electro-Hydraulic Servo System Position Tracking by Zhenshuai Wan, Longwang Yue, Yu Fu

“…The backstepping control is used to eliminate mismatched nonlinear terms and stabilize the system. The dynamic surface control (DSC) is adopted to handle the “explosion of complexity” problem of backstepping method and reduce the computational burden. …”
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Biomechanical Simulation of Peyronie’s Disease by Pavel Drlík, Vladimír Červenka, Jan Červenka

“…The numerical model is based on the real geometrical shape and the tissue structure with consideration of large nonlinear deformations. The penile erection is modeled by the initial strains imposed on the corpus cavernosa. …”
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Local Analyticity in the Time and Space Variables and the Smoothing Effect for the Fifth-Order KdV-Type Equation by Kyoko Tomoeda

“…This equation is obtained by removing the nonlinear term 10𝑢𝜕3𝑥𝑢 from the fifth-order KdV equation. …”
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Cloud Platform Based on Mobile Internet Service Opportunistic Drive and Application Aware Data Mining by Ge Zhou

“…Secondly, through the cloud platform different cloud and channel aware, nonlinear mapping from the service to a data set of proposed perceptual model is applied. …”
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Double-Scale Expansions for a Logarithmic Type Solution to a q-Analog of a Singular Initial Value Problem by Stéphane Malek

“…For a particular choice of the forcing term, this solution turns out to solve some specific nonlinear q−difference differential equation with polynomial coefficients in some positive rational power of t. …”
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Laboratory modeling of MHD accretion disks by Gissinger, Christophe

“…These experiments also highlight the nonlinear transition to turbulence in accretion disks, and their link with other MHD instabilities in centrifugally-stable flows. …”
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Empirical mode decomposition analysis of climate changes with special reference to rainfall data

“…<p>We have used empirical mode decomposition (EMD) method, which is especially well fitted for analyzing time-series data representing nonstationary and nonlinear processes. This method could decompose any time-varying data into a finite set of functions called &#8220;intrinsic mode functions&#8221; (IMFs). …”
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Insulin resistance surrogates are associated with all-cause mortality and cardiovascular mortality in population with metabolic syndrome: a retrospective cohort study of NHANES by Jinhao Liao, Linjie Wang, Lian Duan, Fengying Gong, Huijuan Zhu, Hui Pan, Hongbo Yang

“…Restricted cubic spline curves showed QUICKI, IGR, and e-IS had a nonlinear relationship with statistical significance. …”
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Risk of hemorrhagic fever with renal syndrome associated with meteorological factors in diverse epidemic regions: a nationwide longitudinal study in China by Nan Chang, Wenzhong Huang, Yanlin Niu, Zhihu Xu, Yuan Gao, Tingting Ye, Zihao Wang, Xiaohui Wei, Yuming Guo, Qiyong Liu

“…Furthermore, the association between relative humidity and HFRS incidence exhibited as a monotonic negative correlation in Rattus-dominant regions, while Apodemus-dominant regions showed a nonlinear, inverted U-shaped association. Conclusions This study highlights the heterogeneous effects of meteorological factors on HFRS incidence across different epidemic regions. …”
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Decoupling Control Strategy of BLIM considering Rotor Mass Eccentricity by Wenshao Bu, Biao Li, Chunxiao Lu

“…., bearingless induction motor, is a multivariable, nonlinear, and strong coupling object; to achieve its high performance magnetic suspension operation control and overcome the influence of the rotor mass eccentricity, a decoupling control strategy considering the rotor mass eccentricity is proposed. …”
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Model Reduction Using Proper Orthogonal Decomposition and Predictive Control of Distributed Reactor System by Alejandro Marquez, Jairo José Espinosa Oviedo, Darci Odloak

“…Around these optimal profiles, the nonlinear partial differential equations (PDEs), that model the reactor are linearized, and afterwards the linear PDEs are discretized in space giving as a result a high-order linear model. …”
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On Discrete Fractional Integral Inequalities for a Class of Functions by Saima Rashid, Hijaz Ahmad, Aasma Khalid, Yu-Ming Chu

“…The governing high discretization of problems is an advanced version of the existing forms that can be transformed into linear and nonlinear difference equations using appropriately adjusted transformations invoking property of observing the new chaotic behaviors of the logistic map. …”
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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. …”
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Modal Parameter Identification Based on Hilbert Vibration Decomposition in Vibration Stability of Bridge Structures by Yingzhi Xia, Hui Li, Zhezhe Fan, Jiyong Xiao

“…The proposed method is proved to be efficient in modal parameter identification for both linear and nonlinear systems, with better frequency resolution, and it can be applied to systems with closely spaced modes and low-energy mode.…”
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