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    An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints by Yunqing Rao, Dezhong Qi, Jinling Li

    Published 2013-01-01
    “…The objective of the cutting scheduling problem is minimizing the weighted completed time. A mathematical model for this problem is presented, an improved hierarchical genetic algorithm (ant colony—hierarchical genetic algorithm) is developed for better solution, and a hierarchical coding method is used based on the characteristics of the problem. …”
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    Modeling and Stability Analysis of the Dynamics of Malaria Disease Transmission with Some Control Strategies by Alemzewde Ayalew, Yezbalem Molla, Amsalu Woldegbreal

    Published 2024-01-01
    “…In this study, we proposed and analyzed a nonlinear deterministic mathematical model of malaria transmission dynamics. …”
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    Parameterized High-Precision Finite Element Modelling Method of 3D Helical Gears with Contact Zone Refinement by Yanping Liu, Yongqiang Zhao, Ming Liu, Xiaoyu Sun

    Published 2019-01-01
    “…In order to perform a tooth contact analysis of helical gears with satisfactory accuracy and computational time consuming, a parameterized approach to establish a high-precision three-dimension (3D) finite element model (FEM) of involute helical gears is proposed. …”
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  10. 250

    Dynamic Modeling and Optimal Control for Complex Systems with Statistical Trajectory by Lingli Guo, Zhengguang Xu, Ye Wang

    Published 2015-01-01
    “…Firstly, a novel discrete-time nonlinear working state class dynamic mathematical model of sintering machine is constructed by K-means cluster method for the local data, which overcomes difficulties of modeling by mechanism and describes the class change against the point movement. …”
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    Design and Implementation of a Novel Intelligent Strategy for the Permanent Magnet Synchronous Motor Emulation by Hamed Zeinoddini-Meymand, Salah Kamel, Baseem Khan

    Published 2022-01-01
    “…The designed controller for the first time is implemented on a Arm Cortex-M microcontroller and tested on a laboratory PMSM. …”
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  13. 253

    Calibration of Microscopic Traffic Flow Simulation Models considering Subsets of Links and Parameters by Alexander Paz, Kul Shrestha, Cristian Arteaga, Douglas Baker

    Published 2020-01-01
    “…In practice, only a subset of links and parameters is used for calibration based on several factors such as expert knowledge of the system or constraints imposed by local governance. In this study, the calibration problem for the simultaneous selection of links and parameters was formulated using a mathematical programming approach. …”
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  14. 254

    Protocol for automated tracking and quantification of adult zebrafish anxiety behavior using ZebraTrack by Atanu Pramanik, Shubham Nema, Yogesh Bhargava, Anamika Bhargava

    Published 2025-03-01
    “…We detail steps for mathematical calculations on 2D coordinates to extract various behavioral endpoints for anxiety-behavioral evaluation.For complete details on the use and execution of this protocol, please refer to Nema et al.1 : Publisher’s note: Undertaking any experimental protocol requires adherence to local institutional guidelines for laboratory safety and ethics.…”
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    Stratifications and foliations in phase portraits of gene network models by V. P. Golubyatnikov, A. A. Akinshin, N. B. Ayupova, L. S. Minushkina

    Published 2023-01-01
    “…The variables in these equations describe concentrations of these components as functions of time. In the preparation of numerical experiments with such mathematical models, it is useful to start with studies of qualitative behavior of ensembles of trajectories of the corresponding dynamical systems, in particular, to estimate the highest likelihood domain of the initial data, to solve inverse problems of parameter identification, to list the equilibrium points and their characteristics, to localize cycles in the phase portraits, to construct stratification of the phase portraits to subdomains with different qualities of trajectory behavior, etc. …”
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    A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation by Li Xiong, Yanjun Lu, Yongfang Zhang, Xinguo Zhang

    Published 2019-01-01
    “…Furthermore, the design principle of the memductor-based chaotic circuit is thoroughly analyzed and the concept of “the memductor-based chaotic circuit defect quantification index” is proposed for the first time to verify whether the chaotic output is consistent with the mathematical model. …”
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