Quantitative functional calculus in Sobolev spaces by Carlo Morosi, Livio Pizzocchero

“…In the frame work of Sobolev (Bessel potential) spaces Hn(Rd,R or C), we consider the nonlinear Nemytskij operator sending a function x∈Rd↦f(x) into a composite function x∈Rd↦G(f(x),x). …”
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Improving RLRN Image Splicing Detection with the Use of PCA and Kernel PCA by Zahra Moghaddasi, Hamid A. Jalab, Rafidah Md Noor, Saeed Aghabozorgi

“…Results show that kernel PCA is a nonlinear dimension reduction method that has the best effect on R, G, B, and Y channels and gray-scale images.…”
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VIBRATION EXPERIMENT OF COAL SHEARER CUTTING UNIT GEARBOX HOUSING IN OBLIQUE CUTTING by LI Peng

“…The impact of cutting load on beat phenomenon and frequency coupling is investigated,and some conclusions related to the impact of cutting load on dynamic characteristics of nonlinear gear system are obtained.…”
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Statistical Analysis of the Tensile Strength of Coal Fly Ash Concrete with Fibers Using Central Composite Design by Marinela Barbuta, Emanuela Marin, Sorin Mihai Cimpeanu, Gigel Paraschiv, Daniel Lepadatu, Roxana Dana Bucur

“…Using analysis of variance, the order of importance of the variables was established for each property (flexural strength and split tensile strength). From the nonlinear response surfaces, it was found that higher values of flexural strength were obtained for fibers longer than 12 mm and at a dosage of 1-2%. …”
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Research on Modeling and Solving of Shield Tunneling Posture based on Homogeneous Transformation Matrix by Qiang Zhang, Dongchen Qin, Peng Zhou, Qiang Zhu, Jiangyi Chen

“…In order to more accurately and quickly solve the shield machine pose change during the tunneling process， a positive solution method for the pose of the shield machine based on the spatial homogeneous transformation matrix element is used to establish a positive solution model of the shield machine pose， and the Newton-Raphson algorithm is used to obtain the nonlinear equations with homogeneous transformation matrix elements as unknown quantities are solved successively， and the numerical solutions of the elements of the homogeneous transformation matrix are obtained. …”
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Logarithmic sensitivity ratio elucidates thermal transport physics in multivariate thermoreflectance experiments by Jing Tu, Md Azimul Haque, Derya Baran, Wee-Liat Ong

“…We mathematically derived a sensitivity-based method that identifies the thermal transport physics and parameters suitable for multivariate nonlinear fits in a frequency-domain thermoreflectance (FDTR) experiment. …”
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The Adjustment of Covariates in Cox’s Model under Case-Cohort Design by Guocai Rong, Luwei Tang, Wenting Luo, Qing Li, Lifeng Deng

“…According to the existing adjustable methods of distorted covariates for linear and nonlinear models, we propose estimating the distorting functions by nonparametrically regressing the distorted covariates on the distorting factors; then, the estimators for the parameters are obtained using the estimated covariates. …”
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Robustness Analysis of Control Laws in Complex Dynamical Networks Evoked by Deviating Argument by Biwen Lia, Jingjing Huang, Donglun Wang

“…We design two categories of control laws (linear control law and nonlinear control law) for the undisturbed CDNs to achieve exponential synchronization. …”
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Zero and Nonzero Mass Flux Effects of Bioconvective Viscoelastic Nanofluid over a 3D Riga Surface with the Swimming of Gyrotactic Microorganisms by T. S. Karthik, K. Loganathan, A. N. Shankar, M. Jemimah Carmichael, Anand Mohan, Mohammed K. A. Kaabar, Safak Kayikci

“…This work addresses 3D bioconvective viscoelastic nanofluid flow across a heated Riga surface with nonlinear radiation, swimming microorganisms, and nanoparticles. …”
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Serotonergic Dysfunction in Parkinson's Disease and Its Relevance to Disability by Marios Politis, Clare Loane

“…With the use of in vivo positron emission tomography functional imaging, it has been shown that serotonergic terminals are affected at a varying, nonlinear degree starting early in the clinical course of Parkinson's disease. …”
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Design of Robust Adaptive Observer against Measurement Noise for Sensorless Vector Control of Induction Motor Drives by Asma Boulmane, Youssef Zidani, Mohammed Chennani, Driss Belkhayat

“…This technique ensures the stability of the induction motor considered as nonlinear dynamic system. Since the Luenberger observer works on deterministic environment, and it is most effective when sensor noise is limited, the present study aims to design a robust observer insensitive to measurement noise and parametric variation integrated in a cascade structure. …”
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Cloud server aging prediction method based on hybrid model of auto-regressive integrated moving average and recurrent neural network by Haining MENG, Xinyu TONG, Yuekai SHI, Lei ZHU, Kai FENG, Xinhong HEI

“…In view of the nonlinear, stochastic and sudden characteristics of operating environment of cloud server system, a software aging prediction method based on hybrid auto-regressive integrated moving average and recurrent neural network model (ARIMA-RNN) was proposed.Firstly, the ARIMA model performs software aging prediction of time series data in cloud server.Then the grey relation analysis method was used to calculate the correlation of the time series data to determine the input dimension of RNN model.Finally, the predicted value of ARIMA model and historical data were used as the input of RNN model for secondary aging prediction, which overcomes the limitation that ARIMA model has low prediction accuracy for time series data with large fluctuation.The experimental results show that the proposed ARIMA-RNN model has higher prediction accuracy than ARIMA model and RNN model, and has faster prediction convergence speed than RNN model.…”
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Resonant song recognition and the evolution of acoustic communication in crickets by Winston Mann, Bettina Erregger, Ralf Matthias Hennig, Jan Clemens

“…Our results also demonstrate how nonlinear computations can lead to rapid behavioral changes during evolution because small changes in network parameters can lead to large changes in behavior.…”
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Lamb Waves in a Functionally Graded Composite Plate with Nonintegral Power Function Volume Fractions by Xiaoshan Cao, Zhen Qu, Junping Shi, Yan Ru

“…The numerical results reveal that the dispersion properties in some regions are changed by the graded property, the phase velocity varies in a nonlinear manner with the gradient coefficient, nondispersion frequency exists in the first mode, and the set of cutoff frequencies is a union of two series of approximate arithmetic progressions. …”
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A 0.69-mW Subsampling NB-IoT Receiver Employing a Linearized <italic>Q</italic>-Boosted LNA by Hongyu Lu, Ahmed Gharib Gadelkarim, Jiannan Huang, Patrick P. Mercier

“…A direct-coupling derivative superposition technique where low-<inline-formula> <tex-math notation="LaTeX">$V_{t}$ </tex-math></inline-formula> and thick-gate transistors with opposite nonlinear characteristics are combined to improve the measured IIP3 by 7 dB to &#x2212;18 dBm with little NF overhead. …”
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Energy-Efficient Train Operation Using Nature-Inspired Algorithms by Kemal Keskin, Abdurrahman Karamancioglu

“…The optimization process results in switching points that initiate cruising and coasting phases of the driving. Due to nonlinear optimization formulation of the problem, nature-inspired evolutionary search methods, Genetic Simulated Annealing, Firefly, and Big Bang-Big Crunch algorithms were employed in this study. …”
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Optimization of Contact Path and Transmission Error based on Installation and Adjustment of Spiral Bevel Gear by Mingkang Wang, Changjiang Zhou, Yi Liu, Jian Hong, Shengwen Hou

“…Taking the misalignment as the design variable and presetting the characteristic parameters of contact path and the transmission error，an objective function is built and solved by the nonlinear optimization algorithm. The optimization results show that the contact path is moved to the small end and the loaded contact area is expanded to the middle of the tooth flank，load bearing contact performance is improved. …”
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Conséquences des changements climatiques en milieu océanique by Grégory Beaugrand, Eric Goberville

“…Mechanisms are complex because they are nonlinear exhibiting tipping points and varying in space and time. …”
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Construction method of type-Ⅱ even-length Z-complementary pair with large zero correlation zone width by Xiaoyu CHEN, Lianfeng SUN, Yihan ZHANG

“…The construction method of Type-Ⅱ even-length Z-complementary pair (ZCP) was proposed by using the inter-leaving technique.The basic framework of interleaving structure with Golay complementary pair (GCP) and its mate as the basic sequences was proposed.Furthermore, the necessary conditions were given for the framework in order that the resulting ZCP could have large zero correlation zone (ZCZ) width.The main parameter form of the constructed ZCP was((2k+1)N,(2k+1)N-k)-ZCP, where N was the length of the chosen GCP.Although not all even lengths can be covered, the constructed ZCP has the ZCZ width that can achieve or approach the upper bound of Type-Ⅱ even-length binary ZCP, and has small peak-to-mean envelope power ratio whose value is less than or equal to 4.The resultant sequences can be applied to multi-carrier spread spectrum system to eliminate more asynchronous interference and reduce nonlinear distortion.…”
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Energy efficiency optimization algorithm for heterogeneous NOMA network based on imperfect CSI by Yongjun XU, Hao XIE, Qianbin CHEN, Jinzhao LIN, Qilie LIU

“…In order to improve the suppression capability of parametric perturbation and energy efficiency (EE) of heterogeneous networks (HetNets),a robust resource allocation algorithm was proposed to maximize system EE for reducing cross-tier interference power in non-orthogonal multiple access (NOMA) based HetNets.Firstly,the resource optimization problem was formulated as a mixed integer and nonlinear programming one under the constraints of the interference power of macrocell users,maximum transmit power of small cell base station (BS),resource block assignment and the quality of service (QoS) requirement of each small cell user.Then,based on ellipsoid bounded channel uncertainty models,the original problem was converted into the equivalent convex optimization problem by using the convex relaxation method,Dinkelbach method and the successive convex approximation (SCA) method.The analytical solutions were obtained by using the Lagrangian dual approach.Simulation results verifiy that the proposed algorithm had better EE and robustness by comparing it with the existing algorithm under perfect channel state information.…”
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