Classification of Performance Grades of High Modulus Asphalt and Its Mixture: Taking China as an Example by Lu Zhou, Kaixi Duan, Feng Gao, Yi Fu, Qian Chen

“…Based on the results of mathematical statistics and the relevant specifications of high modulus asphalt in China, the performance grades of high modulus asphalt and its mixture were proposed. …”
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Application of spectrophotometry in novel simultaneous dissolution profiling of a single pill triple therapy of amlodipine, perindopril and indapamide; whiteness evaluation by Aya T. Soudi

“…To eliminate the contribution of AM from the ternary mixture, its spectrum was divided by a reference spectrum of AM (12 µg/mL), followed by mathematical subtraction of the resulting constant. The spectrum was then multiplied by the AM divisor to yield a corrected spectrum of the PE and ID binary mixture, allowing their quantification. …”
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The Future of Last-Mile Delivery: Lifecycle Environmental and Economic Impacts of Drone-Truck Parallel Systems by Danwen Bao, Yu Yan, Yuhan Li, Jiajun Chu

“…This paper investigates the Parallel Drone Scheduling Traveling Salesman Problem (PDSTSP) to evaluate the environmental and economic sustainability of a collaborative drone-truck delivery system. Specifically, a mathematical model for this delivery system is developed to optimize joint delivery operations. …”
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Impact of Cell Size Effect on Nutrient-Phytoplankton Dynamics by Tiancai Liao, Hengguo Yu, Chuanjun Dai, Min Zhao

“…The main purpose of this paper is to research how cell size affects the nutrient-phytoplankton dynamics within the deterministic and stochastic environments. Mathematically, we show that the existence and stability of the equilibria in the deterministic model can be determined by cell size: the smaller or larger cell size can lead to the disappearance of the positive equilibrium, but the boundary equilibrium always exists and is globally asymptotically stable; the intermediate cell size is capable to drive the positive equilibrium to appear and be globally asymptotically stable, whereas the boundary equilibrium becomes unstable. …”
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And growth on form? How tissue expansion generates novel shapes, colours and enhance biological functions of Turing colour patterns of Eukaryotes. by Pierre Galipot

“…They are characterized by the mathematical relationships linking their cellular or molecular actors, the periodicity and the geometrical range of the patterns they produce: spots, stripes or mazes. …”
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Design and Aerodynamic Analysis of a Flapping Mechanism for Foldable Biomimetic Aircraft by Shuai Yan, Yongjun Zhou, Shuxia Jiang, Hao Xue, Pengcheng Guo

“…Through precise modeling, the motion trajectories of the inner and outer wing segments were derived, providing a robust mathematical foundation for motion control and optimization. …”
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Adaptive mobile application for the CATS learning system by Y. V. Popova, I. V. Lehchylin

“…It is proposed to use the analysis of expert systems as mathematical methods. By formalizing the intellectual processes that are carried out by both the teacher and the student, it is possible to automate a certain part of the teacher’s functions, reduce manual labor costs, which will make it easier to control the educational process, as well as make the learning process more effective. …”
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Computer-Integrated Monitoring Technology with Support-Decision of Unauthorized Disturbance of Methane Sensor Functioning for Coal Mines by Oleksandr Vovna, Hanna Kaydash, Leszek Rutkowski, Іvan Sakhno, Іvan Laktionov, Maryna Kabanets, Sergey Zozulya

“…The structure of computer-aided monitoring with decision support has been substantiated and developed, which implements the mathematical apparatus of the proposed method for detecting unauthorized interference with sensor operation modes. …”
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Comparative Study of ɛ-Polylysine or Nisin Inhibition Kinetics of Lactococcus lactis and Spoilage Microorganisms in Fresh Flammulina velutipes Fruiting Bodies by Qi Wei, Xinyuan Pan, Zhen Jia, Changcheng Li, Bingzhi Chen, Ting Fang, Yuji Jiang

“…The objective of this study was to investigate the effect of ɛ-PL or nisin on the growth of L. lactis and background (BK) microorganisms in fresh Flammulina velutipes fruiting bodies (FVFB) and develop mathematical models to predict their growth behavior. …”
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Artificial Intelligence-Based Real-Time Signal Sample and Analysis of Multiperson Dragon Boat Race in Complex Networks by Yu Li, Peihua Liu

“…Scientific training methods are particularly important for athletes, and accurate training data are the basis to support scientific training. Traditional mathematical statistic methods neither can sample signals accurately nor can they do real-time analysis and feedback the characteristics to each athlete. …”
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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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Toward Generality of a Framework for Quantifying Biomechanical Stability: Demonstration on the Ankle by Aleksander Skrede, Andreas Fagerhaug Dalen, Alf Inge Hellevik, Oyvind Stavdahl, Robin T. Bye

“…This paper presents a mathematical description and experimental investigation of using an industrial robot to evaluate biomechanical stability in human cadaveric ankle specimens. …”
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An interval Type-2 fuzzy Fractional-Order PD-PI controller for frequency stabilization of islanded microgrids optimized with CO algorithm by Siavash Shirali, Saeed Zolfaghari Moghaddam, Mortaza Aliasghary

“…To overcome these limitations, the cheetah optimizer (CO) is employed, for its superior global search capability, ability to avoid local optima, and simplicity, as it does not rely on complex mathematical formulations. Different scenarios are considered in which the effect of the proposed controller on network frequency changes has been compared with two other controllers, i.e., interval type-2 fuzzy fractional-order tilt integral derivative (IT2FFOTID) and interval type-2 fuzzy fractional-order proportional integral derivative (IT2FFOPID) using several optimization methods. …”
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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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Importance of underlying mechanisms for interpreting relative risk of Clostridioides difficile infection among antibiotic-exposed patients in healthcare facilities. by Christopher Mitchell, Lindsay T Keegan, Thuy T T Le, Karim Khader, Alexander Beams, Matthew H Samore, Damon J A Toth

“…Here, we model C. difficile transmission and CDI among hospital inpatients, including exposure to high-CDI-risk antibiotics and their effects on each stage of CDI epidemiology. We derive the mathematical relationship, using a deterministic model, between those parameters and observed equilibrium levels of colonization, CDI, and risk ratio of CDI among certain antibiotic-exposed patients relative to patients with no recent antibiotic exposure. …”
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On Vaccination Strategies for a SISV Epidemic Model Guaranteeing the Nonexistence of Endemic Solutions by S. Alonso-Quesada, M. De la Sen, R. Nistal

“…Such theoretical results are mathematically proved and, also, they are illustrated by means of simulation examples. …”
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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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