The extension of the largest generalized-eigenvalue based distance metric ) in arbitrary feature spaces to classify composite data points by Mosaab Daoud

“…We propose a new concept: the limiting dispersion map of the existing clusters in heterogeneous sets of biosequences embedded in linear and nonlinear feature spaces, which is based on the limiting distribution of nucleotide compositions estimated from real data sets. …”
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Temperature compensated crystal oscillator design in Keysight ADS by A. N. Lyashuk, A. V. Kosykh

“…In contrast to the well-known numerical design of a thermally compensated crystal oscillator in SPICE programs with subsequent analysis of the results in a mathematical program, for example, Mathcad, the proposed method allows us to investigate the real shape of oscillations, the spectral purity of the output signal, take into account the nonlinear influence of the circuit and more subtle effects.…”
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Calculation Model for Multi-Roller Load Distribution of Planetary Threaded Roller Bearings Considering Machining Errors by Zhijie Xie, Mingyang Li, Yicheng Hou, Zhiwei Wang, Kailiang Zhang

“…The PTRB is discretized into a multi-roller spring system. Moreover, a set of nonlinear equations is established based on deformation coordination and force balance. …”
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Voltage Stability Analysis of Front-End Speed Controlled Wind Turbine Integrated into Regional Power Grid Based on Bifurcation Theory by Kaide Ren, Hongwei Li, Shuaibing Li, Haiying Dong

“…Results show that the Hopf bifurcation (HB) and the saddle-node bifurcation (SNB) are inherited for the system, indicating that such bifurcations are the essence of nonlinear dynamics that lead to voltage instability. …”
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Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase by Cai Tan, Ming-dao Yuan, Yong-sheng Shi, Bing-sheng Zhou, Hao Li

“…In order to consider the nonlinear deformation and volume change in the initial pore compaction stage, the critical point reflecting the completion of the initial compaction stage was determined. …”
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Model for Developing a Health-Related Quality of Life Questionnaire for Chronic Obstructive Pulmonary Disease by Nikolić Emilija, Nikolić Aleksandar, Stević Ruža, Brandmajer Tijana, Mićanović Veselin, Mašnić Jelena

“…Cronbach’s α coefficient of correlation, standard deviation, and multifactorial nonlinear regression analysis were used to verify the internal validity of the MQ and to develop the mathematical model. …”
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Unlocking biological complexity: the role of machine learning in integrative multi-omics by Ravindra Kumar, Rajrani Ruhel, Andre J. van Wijnen

“…Machine learning and ensemble methods allow researchers to model nonlinear relationships and manage high-dimensional data, improving the precision of predictions. …”
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Theoretical and Simulation Study of Suction Force in Wall-Climbing Cleaning Robots with Negative Pressure Adsorption by Zheng Zhang, Shida Yang, Peixian Zhang, Chaobin Xu, Bazhou Li, Yang Li

“…The findings indicate that, with fewer blades, an increase in blade quantity significantly improves the distribution of nonlinear velocity in the z-plane, resulting in a substantial enhancement of suction force up to a certain limit. …”
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Independent Modal Variable Structure Fuzzy Active Vibration Control of Cylindrical Thin Shells Laminated with Photostrictive Actuators by R.B. He, S.J. Zheng, H.T. Wang

“…Moreover, considering the time-variant and nonlinear dynamic characteristics of photostrictive actuator, variable structure self-adjusting parameter fuzzy active controller is explored to overcome disadvantages of conventional control schemes, in which off-line fuzzy control table is adopted. …”
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Simulation of a multi-layered facility location model by cosidering queueing theory by Mahdi Yousefi Nejad Attari, Saeed Kolahi-Randji, Aniseh Neishabouri Jami

“…The proposed model is a nonlinear integer programming model and it is in the field of highly complex problems. …”
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Machine learning-enhanced high-resolution exposure assessment of ultrafine particles by Yudie Jianyao, Hongyong Yuan, Guofeng Su, Jing Wang, Wenguo Weng, Xiaole Zhang

“…Approximately 20% (1.7 million) of the Swiss population experiences high UFP exposure exceeding an annual mean of 104 particles‧cm−3, with a national average of (9.3 ± 4.7)×103 particles‧cm−3, ranging from (5.5 ± 2.3)×103 (rural) to (1.4 ± 0.5)×104 particles‧cm−3 (urban). A nonlinear relationship is identified between the WHO-recommended 1-hour and 24-hour exposure reference levels, suggesting their non-interchangeability. …”
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A Modified Model for Deflection Calculation of Reinforced Concrete Beam with Deformed GFRP Rebar by Minkwan Ju, Hongseob Oh, Junhyun Lim, Jongsung Sim

“…For better prediction of the moment-deflection relationship until the ultimate strength is reached, a nonlinear parameter (k) was also considered. This parameter was introduced to reduce the effect of the cracked moment of inertia for the reinforced concrete member, including a lower reinforcement ratio and modulus of elasticity of the GFRP bar. …”
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Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems by Teffera M. Asfaw

“…In the last section, an example is provided addressing existence of weak solution in X=Lp(0,T;W01,p(Ω)) of a nonlinear parabolic problem of the type ut-∑i=1n(∂/∂xi)ai(x,t,u,∇u)=f(x,t),  (x,t)∈Q; u(x,t)=0,  (x,t)∈∂Ω×(0,T); u(x,0)=0,  x∈Ω, where p>1, Ω is a nonempty, bounded, and open subset of RN, ai:Ω×(0,T)×R×RN→R  (i=1,2,…,n) satisfies certain growth conditions, and f∈Lp′(Q), Q=Ω×(0,T), and p′ is the conjugate exponent of p.…”
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Optimal compensation method for centrifugal impeller considering aerodynamic performance and dimensional accuracy by Tao Zhou, Sitong Xiang, Hainan Zhang, Jianguo Yang

“…This study proposes a novel optimal compensation method for centrifugal impellers that comprehensively considers the aerodynamic performance and dimensional accuracy. First, a nonlinear mapping relationship between the key geometric parameters of the blade and the aerodynamic performance was established. …”
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Numerical Validation of Long-Term Behaviour of Reinforced Recycled Aggregate Concrete Beam by Abdulmajed Dalia Alaa Aldeen, Daud Sultan Ahmed, Alrshoudi Fahed

“…The study employs a sophisticated nonlinear finite element analysis using Diana FEA software to construct three distinct models based on widely adopted design codes, i.e., Eurocode 2 EN 1992-1-1, fib Model Code (2010), and ACI 209R-92. …”
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Vibration Mitigation in the Transport of Fruit Boxes Using 3D-Printed Devices by Pedro Sanchez-Cachinero, Cristina Aguilar-Porro, Rafael R. Sola-Guirado

“…In this context, metamaterial sheets inspired by the design of quasi-zero stiffness isolators (QZSs) open up the possibility of exploring ways of vibration isolation thanks to their associated nonlinear characteristics. In this work, ABS sheets with different internal geometries were manufactured and compared as possible bottoms of transport boxes. …”
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Feature Extraction of Broken Glass Cracks in Road Traffic Accident Site Based on Deep Learning by Shuai Liang

“…In order to improve the discriminative power of the depth descriptor, Hellinger kernel and Principal Component Analysis (PCA) are used to perform nonlinear and linear transformations. Two aggregation strategies based on depth descriptors are proposed to form a global image representation. …”
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THD Reduction of Improved Single Source MLI Using Upgraded Black Widow Optimization Algorithm by Rupali Mohanty, Debashis Chatterjee, Satyajit Mohanty, C. Dhanamjayulu, Baseem Khan

“…The proposed modified BWO algorithm reduces the complexity of solving the nonlinear equations to achieve the best result by avoiding the local optima. …”
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Novel techniques for efficient PAPR reduction in NOMA systems for future wireless networks by Inam Abousaber, Amira A. Mohamed, Haitham F. Abdallah

“…NOMA has a problem with a high Peak-to-Average Power Ratio (PAPR). This creates nonlinear distortion, reduces power amplifier efficiency, and increases out-of-band radiation, making it less useful in 5G and B5G networks. …”
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Exploring the Inducement for Social Awareness Behavior and Optimal Control Strategy on Nipah Virus Transmission by Saima Efat, K. M. Ariful Kabir

“…We employ a system of nonlinear ordinary differential equations to dissect how the dynamics of primary infections impact the spread of Nipah disease. …”
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