Design of Real-Time Hardware-in-the-Loop TV Guidance System Simulation Platform by Zhongyuan Chen, Xiaoming Liu, Wanchun Chen

“…The trajectories obtained from the HIL and mathematical simulations substantially coincide. So the simulation results show that the proposed HIL simulation platform is effective.…”
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Multiphysical Models for Hydrogen Production Using NaOH and Stainless Steel Electrodes in Alkaline Electrolysis Cell by Ivan Newen Aquigeh, Merlin Zacharie Ayissi, Dieudonné Bitondo

“…A maximum error of 1.5% was found between the mathematical model and experimental model, indicating that the model is reliable.…”
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Optimization of Ultrasound Treatment of Beverage from Mango and Carrot with Added Turmeric Using Response Surface Methodology by Leticia X. Lopez-Martinez, Nill Campos-Gonzalez, Victor M. Zamora-Gasga, Jesús A. Domínguez-Avila, Sunil Pareek, Mónica A. Villegas-Ochoa, Sonia G. Sáyago Ayerdi, Gustavo A. Gonzalez-Aguilar

“…The AOC was assigned as a response variable in addition to TSP and TC. Mathematical modeling showed that the formulation with 35% ( v/v ) of mango pulp, 10% ( v/v ) of carrot juice, and 0.7% ( w/v ) of turmeric powder, yielded the highest values of TSP, TC, and AOC. …”
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Failure Envelopes of Composite Bucket Foundation for Offshore Wind Turbines under Combined Loading with considering Different Scour Depths by Yuanxu Jing, Yuan Wang, Jingqi Huang, Wei Wang, Lunbo Luo

“…The corresponding mathematical expressions for the failure envelope are obtained through the normalized fitting process, which can be used to evaluate the stability of the bucket foundation based on the relative relationship between the failure envelope and the actual load conditions, which can provide practical guidance for engineering design.…”
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Effects of uncertainty in the design parameters during the design of horizontal gravity oil, gas and water separators by Abubakar Juma Chilala, Milan Stanko, Oras J. Mkinga

“…This study proposes using stochastic mathematical programming and optimization to include the effects of uncertainties in the design parameters during the separator design process. …”
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Analytical study on flow of two non-miscible laminar layers of Newtonian fluids in a curved channel with wall slippage by Jafar Hasnain, Nomana Abid

“…The analytical solutions of highly nonlinear mathematical equations are obtained using perturbation series by taking ε(=PrEc)≪1. …”
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Modeling the Combined Effects of Temperature, pH, and Sodium Chloride and Sodium Lactate Concentrations on the Growth Rate of Lactobacillus plantarum ATCC 8014 by Francieli Dalcanton, Elena Carrasco, Fernando Pérez-Rodríguez, Guiomar Denisse Posada-Izquierdo, Gláucia Maria Falcão de Aragão, Rosa María García-Gimeno

“…When temperature and pH increased, there was a corresponding increase in the growth rate, while a negative relationship was observed between NaCl and Na-lactate concentrations and the growth parameter. A mathematical validation was carried out with additional conditions, demonstrating an excellent performance of the model. …”
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Thermal Analysis and Structural Optimization of High-Efficiency Fuel Submersible Hot Water Machine by Zhaozhe Zhu, Youmin Wang, Yingshuai Zhang

“…The main factors affecting thermal efficiency were analyzed and mathematically modeled. The air supply model and the convective heat transfer model of the threaded tube were established. …”
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Improvement of Soybean Oil Solvent Extraction through Enzymatic Pretreatment by F. V. Grasso, P. A. Montoya, C. C. Camusso, B. G. Maroto

“…Extractions were carried out in a column, oil content was determined according to time, and a mathematical model was developed to describe the system. …”
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Dynamic Response and Failure Characteristics of Slope with Weak Interlayer under Action of Near-Fault Ground Motion by Bing Yang, Jiangrong Hou, Yifei Liu, Zihong Zhou

“…Investigations into the Wenchuan earthquake (2008, China) demonstrated that landslides were concentrated in the near-fault areas, and numerous large-scale landslides occurred in slopes with weak interlayers. A mathematical model was established based on the shear beam theory, while a numerical model was developed based on the discrete element method which perfectly matched layer boundary theory. …”
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CALCULATION OF A GLARE STOP FOR TWO-MIRROR EXTRA-FOCAL OBJECTIVE by L. F. Zambrano, N. K. Artyukhina, L. V. Peroza

“…At the second stage, an arrangement for the position of glare stop is proposed using the algorithm calculation. Thus, mathematical expressions were achieved by geometric constructions. …”
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Critical limit for phosphorus in a Red Latosol of the Brazilian Cerrado by Louise Stefanello Hemielevski, June Faria Scherrer Menezes, Augusto Matias de Oliveira, Mariana Pina da Silva Berti, Linia Dayana Lopes Machado, Paulo Fernandes Boldrin, Veridiana Cardozo Gonçalves Cantão, Rodrigo Gomes Silva

“…The aim of this study was to determine a mathematical model for the critical limit for phosphorus in the environment (CLPE) in a Red Latosol of the Cerrado, and to monitor the amount of P in the soil of 46 rural properties in the micro watershed of the Ribeirão Abóbora River. …”
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Teaching-learning of the "family" content in the General Practitioner’s training from education at work by Mabel Rocha Vázquez, Josè Aurelio Dìaz Quiñones, Norma Mur Villar

“…Methods were applied at the empirical, theoretical and mathematical sta-tistical levels that as a whole allowed achieving the expected objective. …”
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Three dimensional analysis of dental arch form and dimensions in a sample of Kurdish students in Hawler Medical University. by Barzan Mahmood, Bayan Hassan

“…Methods: The sample consisted of 3D scans by the intra-oral scanner of maxillary and mandibular dental arches deriving from 111 Kurdish medical students (Male = 51, Female = 60) in permanent dentition. the arch form was evaluated by linear values and ratios by mathematical calculation on every patient using a 3shap ortho analyzer software .paired t-test and fisher's exact Test were used to determine if the differences in measurements between maxillary, mandibular, male, and female groups were significant. …”
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Optimization of Teaching Evaluation System for Football Professional Teachers Based on Multievaluation Model by Zhiqiang Chen, Qingguo Chen

“…We introduced the standard PSO algorithm, including mathematical forms, iteration steps, and flowcharts. …”
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Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches by Brahim Belmahdi

“…Developing an accurate mathematical model for parameter extraction in photovoltaic modules is a crucial endeavor in optimizing photovoltaic energy systems. …”
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Factor’s Influence Analysis of Frost Heave during the Twin-Tunnel Construction Using Artificial Horizontal Ground Freezing Method by Rong-bao Hong, Hai-bing Cai, Meng-kai Li, Ya-ru Li

“…However, the trough of the bimodal M-type curve gradually disappears as the tunnel buried depth increases. SPSS mathematical analysis results show that tunnel clear distance has the highest significance, tunnel buried depth ranks the second, and freezing order ranks the last. …”
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Theoretical Analysis and Experimental Validation on Galloping of Iced Transmission Lines in a Moderating Airflow by Bing Huo, Xuliang Li, Fujiang Cui, Shuo Yang

“…Different declining rates of the wind velocity are also verified in the wind tunnel, which show good agreement with the results simulated by the mathematical model. The sudden increase in the galloping amplitude poses a significant threat to the transmission system, which also improves the damage mechanism associated with the galloping of a slender, a long structure with a noncircular cross-section.…”
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Automatic incident detection in smart city using multiple traffic flow parameters via V2X communication by Zafar Iqbal, Majid Iqbal Khan

“…The complete algorithm is mathematically described using the notions of set theory and then formal analysis assures that the algorithm would be less susceptible to runtime and logical errors during simulations.…”
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Prediction of Tool Lifetime and Surface Roughness for Nickel-Based Waspaloy by Shao-Hsien Chen, Chung-An Yu

“…Finally, a set of mathematical models can be established based on these results, in order to predict the surface roughness of Waspaloy cut with a worn tool. …”
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