An advanced approach to directly calculate eutectic points in quaternary and higher-order slags: A case study on CaF2–Al2O3–CaO–MgO–SiO2 slag systems by Yi-ming Li, Jia-long Tian, Zhou-hua Jiang

“…By utilizing FactSage thermodynamic data and machine learning (ML), the liquidus temperatures of all slags within this screening range are calculated. A mathematical model incorporating the characteristics of eutectic points was established, converting the graphical position data of slag eutectic points into numerical data. …”
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Hydrodynamic Effects of River-Lake System Connectivity on Ecological Restoration of Urban Rivers: A Case Study of Liede River by WANG Shaobo, ZHANG Shu, XIONG Yulong, ZHOU Xinmin

“…To investigate the hydrodynamic effects of river-lake system connectivity on the ecological restoration of urban rivers supplemented by reclaimed water, a four-tier framework was employed to establish a mathematical model of river-lake hydrodynamics and pollutant transport by using the Liede River as an example. …”
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Optimal configuration strategy of energy storage considering flexible response of high energy-consuming industrial and mining loads in independent microgrid by Cuomu Yixi, Xiaoming Liu, Yu Li, Jingming Tan, Zhihong Liu, Basang Danzeng, Lei Wang

“…Firstly, considering the production process of extracting lithium from salt lakes brine and the electricity consumption characteristics of major energy-consuming equipment, a mathematical model is developed to quantify the flexibility adjustment potential of lithium mining loads under production behavior constraints. …”
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Structural and Economic Approach to the Selection of Peak Regulating Capacities at Thermal Power Plants by E. V. Bohdan, M. B. Karnitski

“…A generalized desirability function has been obtained, which includes a number of parameters for choosing a rational relationship and mutual influence between the reliability and efficiency of electricity production with the participation of thermal power plant equipment in regulating the daily load schedule. The proposed mathematical model is an effective means of analyzing the suitability of equipment for use in the required operating modes.…”
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Estimating the Force of Infection with Helicobacter pylori in Japan by Taishi Kayano, Ki-Deok Lee, Hiroshi Nishiura

“…The present study employed mathematical models to estimate the time- and age-dependent force of infection with H. pylori in Japan, predicting the future seroprevalence by time and age. …”
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A BIM-Based Study on the Comprehensive Benefit Analysis for Prefabricated Building Projects in China by Yingbo Ji, Siwei Chang, Yuan Qi, Yan Li, Hong Xian Li, Kai Qi

“…However, there is a lack of an appropriate pattern for evaluating its comprehensive economic merits, and reasonable mathematical models for providing a comparative analysis of conventional cast-in-situ and prefabricated building projects have yet to be developed. …”
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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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Research on Slope Deformation Prediction Based on Fractional-Order Calculus Gray Model by Li Li, Yue Qiang, Shaohong Li, Zhongchao Yang

“…The use of the mathematical model to predict slope deformation has been proved to be feasible by many studies; therefore, the choice of the predictive model and the practicability of the model are crucial issues in the prediction of slope deformation, and the mathematical prediction model used should be less complicated considering the practicality of the model. …”
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The effects of SN Ps in the regions of positioning RNA polymerase II on the TBP/promoter affinity in the genes of human circadian clock by O. A. Podkolodnaya, D. A. Rasskazov, N. L. Podkolodnyy, N. N. Podkolodnaya, V. V. Suslov, L. K. Savinkova, P. M. Ponomarenko, M. P. Ponomarenko

“…These predictions are important for identification of candidate SNP markers of various pathologies associated with the dysfunction of circadian clock genes for further testing them in experimental and clinical studies, as well as for verification of mathematical models of the circadian oscillator.…”
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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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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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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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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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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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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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A study on fuzzy cognitive maps using fuzzy inference system by Appasamy Saraswathi, Seyyed Edalatpanah, Sanaz Hami Hassan Kiyadeh

“…Due to a lack of information, the future state of the real system might not be known completely. Fuzzy mathematical modelling represents a real-world problem in a mathematical form to find solutions to the problem that correspond closely to how humans perceive it. …”
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Hybrid Decision-Making Frameworks under Complex Spherical Fuzzy N-Soft Sets by Muhammad Akram, Maria Shabir, Ahmad N. Al-Kenani, José Carlos R. Alcantud

“…As an illustration, we design a mathematical model for the selection of the best physiotherapist doctor of Mayo hospital, Lahore. …”
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Uncertainty Quantification for a Hydraulic Fracture Geometry: Application to Woodford Shale Data by Batoul M. Gisler

“…The reliability of these mathematical models hinges on the uncertainties in the input parameters because uncertainty propagates to the output solution resulting in incorrect interpretations. …”
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