Two-step skeletization of binary images based on the Zhang-Suen model and the producing mask by J., Ma, V. Yu. Tsviatkou, V. K. Kanapelka

“…To overcome them, a mathematical model that compensates the Zhang-Suen algorithm has proposed in this paper, along with a producing mask and two logical conditions for evaluating its elements.…”
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Study on Permeability Improvement Technology by Injecting Air into the Gas Drainage Borehole in Low-Permeability Coal Seam by Li Hui, Guo Chengwei, Sun Yuanfang, Guo Shaoshuai

“…In order to solve the problem, the basic principle about gas drainage drilling for gas injection technology is studied to increase permeability. And the mathematical model is established. Gas is injected into the low-permeability coal seam by numerical simulation. …”
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A toxin-mediated size-structured population model: Finite difference approximation and well-posedness by Qihua Huang, Hao Wang

“…The question of the effects of environmental toxins on ecological communities is of great interest from both environmental and conservational points of view. Mathematical models have been applied increasingly to predict the effects of toxins on a variety of ecological processes. …”
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Dynamic Multicompartment Refrigerated Vehicle Routing Problem with Multigraph Based on Real-Time Traffic Information by Deng-Kai Hou, Hou-Ming Fan, Ying-Chun Lv, Xiao-Xue Ren

“…Aiming at the dynamic multicompartment refrigerated vehicle routing problem with multigraph based on real-time traffic information, this study, based on the idea of preoptimization followed by real-time adjustment, establishes a two-stage mathematical model with minimizing delivery cost. In the preoptimization phase, this study, based on historical traffic information, designed a hybrid chaotic genetic algorithm with variable neighborhood search (HCGAVNS) to obtain the initial delivery scheme. …”
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A Decoupling Control Method for Shunt Hybrid Active Power Filter Based on Generalized Inverse System by Xin Li, Bo Li

“…Based on the analysis of operation principle, the mathematical model of SHAPF is firstly built, which is verified to be invertible using interactor algorithm; then the generalized inverse system of SHAPF is obtained to connect in series with the original system so that the composite system is decoupled under the generalized inverse system theory. …”
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A Survey of Matrix Completion Methods for Recommendation Systems by Andy Ramlatchan, Mengyun Yang, Quan Liu, Min Li, Jianxin Wang, Yaohang Li

“…We focus on the mathematical models for matrix completion and the corresponding computational algorithms as well as their characteristics and potential issues. …”
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Numerical Treatment of a Modified MacCormack Scheme in a Nondimensional Form of the Water Quality Models in a Nonuniform Flow Stream by Nopparat Pochai

“…Two mathematical models are used to simulate water quality in a nonuniform flow stream. …”
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Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor by Jiri Vojtesek, Petr Dostal

“…Proposed controller is tested by the simulations on the mathematical model of the continuous stirred-tank reactor with cooling in the jacket as a typical nonlinear system.…”
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Optimal design for parameter estimation in EEG problems in a 3D multilayered domain by H. T. Banks, D. Rubio, N. Saintier, M. I. Troparevsky

“…Many inverse problems consist in selecting best parameter values of a given mathematical model based on fits to measured data. These are usually formulated as optimization problems and the accuracy of their solutions depends not only on the chosen optimization scheme but also on the given data.We consider an electromagnetic interrogation problem, specifically one arising in an electroencephalography (EEG) problem, of finding optimal number and locations for sensors for source identification in a 3D unit sphere from data on its boundary. …”
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Intelligent Controller Design for Quad-Rotor Stabilization in Presence of Parameter Variations by Oualid Doukhi, Abdur Razzaq Fayjie, Deok Jin Lee

“…The paper presents the mathematical model of a quadrotor unmanned aerial vehicle (UAV) and the design of robust Self-Tuning PID controller based on fuzzy logic, which offers several advantages over certain types of conventional control methods, specifically in dealing with highly nonlinear systems and parameter uncertainty. …”
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Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions by Pawarisa Samalerk, Nopparat Pochai

“…The one-dimensional advection-diffusion-reaction equation is a mathematical model describing transport and diffusion problems such as pollutants and suspended matter in a stream or canal. …”
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RP-Ring: A Heterogeneous Multi-FPGA Accelerator by Shuaizhi Guo, Tianqi Wang, Linfeng Tao, Teng Tian, Zikun Xiang, Xi Jin

“…In order to avoid overall performance loss caused by the slowest board, we build a mathematical model to decompose workload among FPGAs. The dividing of workload is based on the logic resource, memory access bandwidth, and communication bandwidth of each FPGA chip. …”
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Fuzzy Sliding Mode Control Method for AUV Buoyancy Regulation System by Wende Zhao, Decheng Wang, Zhenzhong Chu, Mingjun Zhang

“…In this paper, a fuzzy sliding mode control scheme is developed for the buoyancy regulation system to solve the abovementioned problems. At first, a mathematical model of the buoyancy regulation system is established, and the stability of the system is analyzed. …”
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Analysis of the structural integrity of a frozen wall during a mine shaft excavation using temperature monitoring data by Lev Levin, Mikhail Semin, Ivan Golovatyi

“…The data on temperature measurements in control-thermal boreholes were used to parameterize the mathematical model of heat transfer, which allowed for the reconstruction of the temperature field throughout the entire cooled and frozen soil volume. …”
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Chip Thickness and Microhardness Prediction Models during Turning of Medium Carbon Steel by S. A. Alrabii, L. Y. Zumot

“…Chips were collected at different machining conditions and thickness and microhardness measurements taken and analyzed using “DESIGN EXPERT 7” experimental design software. Mathematical models of the responses (thickness and microhardness) as functions of the conditions (speed, feed, and depth of cut) were obtained and studied. …”
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The Effect of Continuous and Pulse Input Nutrient on a Lake Model by Yongfeng Li, Dongliang Xie, Jing-An Cui

“…In an aquatic environment, a mathematical model consisting of nutrient, phytoplankton, and zooplankton has been considered, where excretion of zooplankton is considered as one of the sources of nutrient. …”
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A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative by Badr Saad T. Alkahtani

“…The SARS-CoV-2 fractional mathematical model is analyzed for series-type solution by Laplace–Adomian decomposition techniques (LADM) and homotopy perturbation method (HPM). …”
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Modeling Peer-to-Peer Botnet on Scale-Free Network by Liping Feng, Hongbin Wang, Qi Han, Qingshan Zhao, Lipeng Song

“…To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale-free trait of Internet with the formation of P2P botnet is presented. …”
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Kinetics and Equilibrium Studies on the Sorption of Manganese(II) and Nickel(II) onto Kaolinite and Bentonite by B. Sathyanarayana, K. Seshaiah

“…Freundlich and Langmuir's mathematical models were used to describe batch adsorption. …”
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Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays by Hongwen Xu, Huaiqin Wu, Ning Li

“…Firstly, by combining the theories of the switched systems and the interval neural networks, the mathematical model of the switched interval neural networks with discrete and distributed time delays and the interval estimation error system are established. …”
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