Single stage auction clearing model for electricity market considering congestion by R.R. Lekshmi, S. Balamurugan

“…The approach involves modelling of the market clearing mechanism as an optimization problem with the aim of maximizing the producer and consumer surplus, meeting the power equilibrium while maintaining the line power flows within the limit. A generalized mathematical model of the problem is formulated in MATLAB Live editor and deployed on an IEEE 5-bus system, while considering two different line limit conditions. …”
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Application of Neural Network in the Stability of Biped Robot and Embedded Control of Walking Mode by Jianrui Zhang, Zhaohui Yuan, Huan Geng, Sheng Dong, Fuli Zhang, Jingchao Li

“…A method of establishing precise mathematical modeling and stability analysis is proposed. …”
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Modeling and robust control of a parallel robotic mechanism driven by linear actuators based on shape memory alloys by Alejandro Guarneros-Sandoval, Mariana Ballesteros, Rita Q. Fuentes-Aguilar, Isaac Chairez

“…Based on the temperature derivative, a hybrid mathematical actuator model characterizes the relationship between the temperature and force. …”
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Evolution of parasite transmission dispersion by Hannelore MacDonald, Sebastian Bonhoeffer, Roland Regoes

“…This study considers whether increased transmission dispersion can be, in part, an emergent property of parasite adaptation to heterogeneous host populations. We develop a mathematical model using a Price equation framework to address this question that follows the epidemiological and evolutionary dynamics of a general host–parasite system. …”
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Application of quantitative protein mass spectrometric data in the early predictive analysis of membrane-bound target engagement by monoclonal antibodies by Armin Sepp, Morris Muliaditan

“…Model-informed drug discovery advocates the use of mathematical modeling and simulation for improved efficacy in drug discovery. …”
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Changes in the content of proteins and lipids and in the state of the antioxidant system in mutant forms of <i>Amaranthus cruentus</i> L. by R. M. Taipova, V. N. Nesterov, O. A. Rozentsvet, B. R. Kuluev

“…The Bradford assay was used to measure the content of total soluble protein, lipid analysis was performed by thin-layer chromatography, the state of the antioxidant system was assessed according to catalase and peroxidase activities and the rate of superoxide anion formation. Mathematical data were processed using the Statistica 10.0 software.Results. …”
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Investigating the Two Optimization Algorithms (GWO and ACO) Coupling with Radial Basis Neural Network to Estimate the Pile Settlement by Ehsanolah Assareh, Reza Poultangari

“…Theoretical ways to calculate the pile movement mathematically have been adopted to model the PS, mostly by using artificial intelligence (AI). …”
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A Dynamic Thermal-Allocation Solution to the Complex Economic Benefit for a Data Center by Hui Liu, Wenyu Song, Tianqi Jin, Zhiyong Wu, Fusheng Yan, Jie Song

“…From the perspective of economic benefits, we propose a mathematical model for thermal distribution of a data center and study which workload distribution could determinately change the thermal distribution in the dynamic data center runtime, so as to reduce the cost and improve the economic benefits under the guarantee of service provisioning. …”
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Research on the Distribution of Emergency Supplies during the COVID-19 Epidemic by Jian-guo Zheng, Qing Yang, Shui-lin Chen

“…With the shortest total distribution distance as the objective function, a mathematical model of mixed integer linear programming is established, and the crossover operation of the genetic algorithm, the destruction operator and the repair operator of the large neighborhood search algorithm are introduced in the brain storm optimization algorithm to enhance the diversity of the solution while making the solution toward the optimal direction. …”
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Study on the Characteristics of Self-Stabilizing Height Distribution for Deep Foundation Pit Vertical Sidewall in Binary Strata of Upper Soil and Lower Rock by Zhang Ziguang, Yihang Li, Jiesheng Zhang, Tao Xu, Guangyong Cao, YiKang Xu

“…The spatial distribution map of the self-stabilizing height for deep foundation pit vertical sidewall in upper soil and lower rock binary stratum has been constructed, and the mathematical fitting equation between Hr0 and Hs has been obtained. …”
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Revising Transient-Pressure Solution for Vertical Well Intersected by a Partially Penetrating Fracture with Non-Darcy Flow Effect by Shuheng Cui, Jie Kong, Hongwei Yu, Cheng Chen, Junlei Wang

“…The principle purpose of this work is to formulate an accurate mathematical model to evaluate the transient pressure behavior of a well intercepted by a partially penetrating vertical fracture (PPVF) with non-Darcy flow effect. …”
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AN APPROACH TO CELL NUCLEI COUNTING IN HISTOLOGICAL IMAGE ANALYSIS by M. M. Lukashevich, V. V. Starovoitov

“…The main aim of our work was to develop an efficient scheme of automatic counting cell nuclei based on advanced image processing methods: directional filtering, adaptive image binarization and mathematical morphology. Unlike prior research, the presented approach does not provide segmentation of cell nuclei in the image, but only requires to detect them and count their number. …”
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Development of an information measuring and control system for a quadrocopter by V. V. Sleptsov, V. L. Afonin, A. E. Ablaeva, Ba Phuong Dinh

“…A functional scheme and a mathematical model of the information-measuring and control system of the quadrocopter in the form of a block diagram are developed taking into account the influence of delays in the receipt of information from the sensors of the quadrocopter parameters. …”
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Assessment of the sedimentation and trapping efficiency in dam reservoirs by applying the settling basin framework by Bérenger Koffi, Koffi Eugène Kouakou, Alexis Loukou Brou, Martin Sanchez, Ouédé Gla Blaise, Brice Wawogninlin Coulibaly, Franck Hervé Akaffou, Michal Habel, Amani Michel Kouassi, Dibi Brou, Kouakou Lazare Kouassi

“…This study presents a hydrosedimentary mathematical model based on the theory of settling basins and Gamma Law approaches to describe the settling velocity of suspended solids. …”
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Synthesis and Optimization of 2,5-Dihydroxyterephthalic Acid in a Slurry Reactor by Reza Pirdadeh Beiranvand, Saeed Ovaysi

“…An additional 14 more experiments devised by the Box–Behnken design scheme are performed to determine a quadratic model for the DHTA yield against the three parameters mentioned above. A mathematical optimization of the model predicts 83.385% DHTA yield at 200°C, 2.085, and 250 min for temperature, catalyst-to-DSH molar ratio, and reaction time, respectively. …”
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Optimization Analysis of Pretreatment Device Structural Parameters for Low-Concentration CBM Utilization by Lu Xiao

“…The dimensionless mathematical correlation between the resistance loss and the uniformity of gas is refined, and the maximum error between the resistance loss and the simulation results is controlled within 10%; it provides a theoretical basis for the uniformity and low resistance mixing of different gases in the gas industry. …”
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Calibration of double electroinduction spherical electric field strength sensor in a homogeneous field by S. V. Biryukov, L. V. Tyukina, A. V. Tyukin

“…For this, a current signal simulator has been developed, which is based on mathematical relationships obtained during the theoretical interaction of a sensor with a homogeneous ED. …”
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Developing a GIS Model for Identifying Bear Corridors with Open-Source Data: The Romanian Context by Sanda Roșca, Alexandru Chira, Iuliu Vescan, Ștefan Bilașco, Ioan Fodorean, András-István Barta, Vasile Ceuca, Paul Sestraș

“…The analysis of these habitats, where the bear population has exceeded the optimal level that they can support, highlighted that to allow the passage of bear specimens from one habitat to another, it is necessary to create ecological corridors in several key areas deducted on the basis of mathematical models.…”
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Preliminary validation of two math screening tools to identify gifted students in grades 3–5 in Jordan by Bashir Abu-Hamour, Hanan Al Hmouz

“…IntroductionEarly screening for mathematically gifted students (MGSs) in Jordan and other Arab countries is limited, posing challenges in identifying and providing appropriate educational services. …”
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Improved Adaptive PI-like Fuzzy Control Strategy of Permanent Magnet Synchronous Motor by Wenshao Bu, Shihao Guo, Zongang Fan, Jinwei Li

“…The fuzzy controller is a popular choice for permanent magnet synchronous motor (PMSM) control systems because of its advantages, such as straightforward design, and no reliance on the precise mathematical model of the motor. But the existing pure PI-like fuzzy control strategy still has some disadvantages, such as poor adaptive ability and large overshooting. …”
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