A New Noninterior Continuation Method for Solving a System of Equalities and Inequalities by Jianguang Zhu, Binbin Hao

“…By using slack variables and minimum function, we first reformulate the system of equalities and inequalities as a system of nonsmooth equations, and, using smoothing technique, we construct the smooth operator. …”
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Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials by Mohammad Sahabi, Allahbakhsh Yazdani Cherati

“…To achieve this, stable and efficient methods for calculating the fractional integral and derivative operators of Müntz-Legendre functions based on three-term recurrence formulas and Jacobi-Gauss quadrature rules are presented. …”
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On Mixed Problems for Quasilinear Second-Order Systems by Rita Cavazzoni

“…The proof of the main theorem relies on two preliminary results: existence of the solution to mixed problems for linear second-order systems with smooth coefficients, and existence of the solution to initial-boundary value problems for linear second-order operators whose coefficients depend on the variables 𝑥 and 𝑡 through a function 𝑣∈𝐻𝑠(ℜ𝑑+1). …”
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Performance of Machine Learning Classifiers for Diabetes Prediction by Mijala Manandhar, Shaikat Baidya, Babalpreet Kaur, Katia Atoji

“…The dataset included 768 instances with nine attributes, where the target variable indicated whether a patient tested positive for diabetes. …”
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Developing data driven framework to model earthquake induced liquefaction potential of granular terrain by machine learning classification models by Kennedy C. Onyelowe, Viroon Kamchoom, Tammineni Gnananandarao, Krishna P. Arunachalam

“…The high precision and Phi Correlation Coefficient further affirm the reliability and accuracy of the model’s predictions. …”
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Impact of Product, Process, Organisational, and Marketing Innovation on Micro, Small and Medium Scale Enterprises' Sustainability by Erna Listyaningsih, Yuliansyah Yuliansyah, Rissa A. Martinouva, Febrianty Febrianty, Muazza Muazza, Shofia Amin, Etty Puji Lestari, Amirul Mukminin

“…Objective: This study aimed to investigate how innovation, sustainability, and performance function as moderators in Micro, Small, and Medium-Scale Enterprises (MSMES). …”
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Optimization Design of CO2 Air Cooler by Liu Bin, Su Yun, Dong Xiaoyong, Wang Congfei, Cai Jinghui

“…Volume and the heat transfer coefficient of the heat exchanger are taken as an object function respectively, and fin-pitch, tube distance, tube rows, row numbers, diameter of heat pipe and the lengths of single pipe are selected as decision variables. …”
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A Hybrid RBF-PSO Framework for Real-Time Temperature Field Prediction and Hydration Heat Parameter Inversion in Mass Concrete Structures by Shi Zheng, Lifen Lin, Wufeng Mao, Yanhong Wang, Jinsong Liu, Yili Yuan

“…Sensitivity analysis identified the ultimate adiabatic temperature rise as the dominant parameter (78% variance contribution), followed by synergistic interactions between hydration rate parameters, and indirect coupling effects of boundary correction coefficients. These findings guided a phased optimization strategy, as follows: prioritizing high-precision calibration of dominant parameters while relaxing constraints on low-sensitivity variables, thereby balancing accuracy and computational efficiency. …”
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Non-destructive textural quality assessment of peaches and nectarines using near-infrared spectroscopy integration time by Eva Cristina Correa, Paola Baltazar, Pilar Barreiro, Natalia Hernández-Sánchez, Lourdes Lleó, Ángela Melado-Herreros, Belén Diezma

“…A principal component analysis (PCA) was used to analyze textural variability, and discriminant function analysis (DFA) and artificial neural networks (ANNs) were applied to classify fruit firmness levels.PCA effectively defined a new variable, PC1, that captured the variance in fruit texture, correlating positively with juiciness and negatively with firmness. …”
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Multiobjective optimization of suspension bridges via coupled modeling and dual population multiobjective particle swarm optimization by Peiling Yang, Jianhua Deng, Anli Wang

“…The Lasso function is used for elastic net regression analysis to evaluate the impact of design variables on the objective functions. …”
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Nonlinearity Estimation and Compensation for Accurate PMSM Modeling and Voltage Prediction by Beichen Ding, Yuting Lu, Chunyan Lai, Weiwen Peng, Kaide Huang, Guodong Feng

“…Specifically, the offsets to the base model are modeled using nonlinear functions with variable coefficients to compensate saturation and core loss effect, which can achieve better accuracy without changing the model structure. …”
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Modeling the position of tracked chassis in motion in the event of mechanical characteristics of separate drive electric motors of track contours by Goncharov K.A.

“…The proposed mathematical model, on the one hand, takes into account the possibility of changing the coefficient of resistance to movement over time, and on the other hand, it operates with a variable approach to determining the speed of movement of tracked circuits based on a system of sliding deviations of electric motors. …”
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Simultaneous single-sample determination of NMNAT isozyme activities in mouse tissues. by Giuseppe Orsomando, Lucia Cialabrini, Adolfo Amici, Francesca Mazzola, Silverio Ruggieri, Laura Conforti, Lucie Janeckova, Michael P Coleman, Giulio Magni

“…Final assay validation was achieved in a tissue extract by comparing the activity and expression levels of individual isozymes, considering their distinctive catalytic efficiencies. Furthermore, considering the key role played by NMNAT activity in preserving axon integrity and physiological function, this assay procedure was applied to both liver and brain extracts from wild-type and Wallerian degeneration slow (Wld(S)) mouse. …”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The transformation of the coupled partial differential equation into ordinary differential equation is achieved by utilizing a complex wave variable. Exponential function combinations are applied to construct the wave solutions. …”
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Numerical discussion of phase-lag mixed integral equations with general discontinuous kernels by Abeer M. Al-Bugami, M. A. Abdou

“…This integral equation has coefficients that vary in time and phase-lag time. It was proven that this method linked the time variables to the kernel of the integral equation in terms of the existence of a single solution. …”
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An Intelligent Inspection and Scheduling Algorithm for Integrated Pipe Gallery Based on Cloud Robot by ZHOU Xiwei, SHANG Xiao, SHANG Xinjuan, YAN Maode, WANG Fafa

“…The algorithm has very strong exploring precision and variable function, which makes this algorithm of fewer iterations, and can effectively improve the real-time detection of pipeline leakage source in pipeline corridor. …”
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Optimization of Configuration Design for Underwater Dam Defect Detection Vehicles by Hong-Xia Cheng, Mei-Jie Cao, Peng-Fei Xu, Yan Kai, Zi-Peng Wang, Gang Wan, Qiao Hu

“…Simulations were conducted to analyze the vehicle’s variable attack angle, drift angle, pitching, and rotational motion at a forward three-throttle speed. …”
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APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS by A. V. Panteleev, D. A. Rodionova

“…These problems belong to the class of constrained global optimization problems, where the level surface of the objective function has uneven relief and there is a large number of variables. …”
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Three-Dimensional Modified Cross-Section Hydrofoil Design and Performance Study by Hongpeng Cao, Yudong Xie, Zilei Ji

“…To improve the hydrodynamic performance of hydrofoils, this study combines the shape characteristics of flat and elliptical wings, uses parabolic function to fit the leading and trailing edges of hydrofoils, introduces the cross-section coefficient <i>λ</i> to characterize the cross-sectional size of hydrofoils along the spreading direction, and designs five hydrofoils with different cross-sections. …”
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clonevdjseq: A workflow and bioinformatics management system for sequencing, archiving, and analysis of VDJ sequences from clonal libraries by Keith Mitchell, Samuel Hunter, Lutz Froenicke, Karl Murray, Matthew Settles, James S. Trimmer

“…The results of this effort has yielded sequences used to develop functional recombinant monoclonal antibodies and single chain variable fragments as a part of the NeuroMabSeq initiative where thousands of hybridoma samples were processed (Mitchell et al. in Sci Rep 13(1):16200, 2023) as well as provide additional modeling and extensibility to other modalities. …”
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