Small-Signal Stability Analysis for Large-Scale Power Electronics- Based Power Systems by Liang Qiao, Yaosuo Xue, Le Kong, Fei Wang, Nupur

“…The general concept, the detailed mathematical derivation, and the applications of the proposed method to a 6-converter system and a modified 140-bus NPCC system are presented. …”
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Geometric design of two novel rotor profiles for Roots vacuum pumps with elliptical curve by Zhengqing Li, Xiaojun Wang, Xianhu Han, Yuhong Cai

“…This study proposes two novel elliptical rotor profiles: one designed with an elliptical curve at the top and the other with an elliptical curve at the waist. Mathematical models of the new rotor profiles were established, and profile equations were derived on a geometric method. …”
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Regulation Mechanism of Spatial Capacity of Tourist Resources in Scenic Spots Based on Internet of Things Technology by Xiaona Xie, Wenliang Zhang

“…This paper first calculates the spatial capacity of various tourism resources in a scenic spot by using mathematical model and then studies the intelligent spatial management model of tourist flow in the scenic spot based on the Internet of Things technology. …”
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Data Driven Second Integral Sliding Mode Control for the Digital Phase-Locked Loop by Haiqin Liu, Mingdong Hou, Guangye Li, Renming Yang, Yun Zhang

“…The theoretical results are mathematically rigorously proved, and the results of the simulation study show that the proposed method exhibits faster and superior performance in signal estimation and tracking compared to traditional PID algorithms.…”
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Routing and scheduling optimization for urban air mobility fleet management using quantum annealing by Renichiro Haba, Takuya Mano, Ryosuke Ueda, Genichiro Ebe, Kohei Takeda, Masayoshi Terabe, Masayuki Ohzeki

“…In this study, we propose a routing and scheduling framework to address the needs of a large fleet of UAM vehicles operating in urban areas. Using mathematical optimization techniques, we plan efficient and deconflicted routes for a fleet of vehicles. …”
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Modelling and Testing the Dynamic Properties of a Launcher with Unguided Missiles by Zbigniew J. DZIOPA, Maciej NYCKOWSKI

“…Based on the results of empirical research, a physical and mathematical model of the motion was formulated for both the ZSMU-70 module as well as the WW-4 launcher. …”
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Modeling of Nitrate Leaching during the Fall–Winter Season in Artificially Drained Soils by Alaa El-Sadek

“…In this study, the transport and fate of nitrate within the soil profile were analyzed by comparing field data with the simulation results of a mathematical model. The objective was to study the transport and fate of nitrate within the soil profile and nitrate leaching to shallow groundwater for the fall-winter season, by applying the methodology in Elverdinge experiment, situated in the sandy loam region in Belgium, from October 1, 2000 to March 31, 2001. …”
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Coverage in airborne backbone network by Bo ZHENG, Hengyang ZHANG, Yong LI, Wei CHENG

“…The high-altitude long-durance unmanned aerial vehicle (HALE-UAV) equipped with directional antenna and the cuboid-shaped air corridor (AC) were taken as the study objects,and the basic idea was to extract the invariant coverage area of moving spherical cones,cylinder,as the basic component to fill AC.The general goal was to employ HALE-UAV as few as possible under the condition that the height of the cylinder was larger than that of AC.The circular and triangular orbits of HALE-UAV were analyzed in geometry respectively,and the mathematical expressions of the radius and height of the cylinder were derived.Then two coverage schemes were introduced.Through comparing the two schemes by optimization theory,the optimal coverage strategy was derived.Results show that the circular orbit is better than the triangular orbit.Moreover,the optimal solution is to employ the quasi-static floating platforms,and the suboptimal is to adopt the circular orbit of a small radius,or the triangular orbit of a small side,with a HALE-UAV on an orbit.…”
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Competitive Relief Supply Chain under the Uncertain Conditions by Amirabbass Boroumand, Majid Nojavan, Davood Mohammaditabar, Reza Ghaemi

“…Accordingly, in this research, a mathematical model with a leader-follower approach for relief delivery in the crisis response phase was designed, which took into account the policies of the country of Iran for the distribution of relief items. …”
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The dynamics and longevity of circulating CD4+ memory T cells depend on cell age and not the chronological age of the host. by M Elise Bullock, Thea Hogan, Cayman Williams, Sinead Morris, Maria Nowicka, Minahil Sharjeel, Christiaan van Dorp, Andrew J Yates, Benedict Seddon

“…Here, we address these issues by combining DNA labelling methods, established fate-mapping systems, a novel reporter mouse strain, and mathematical models. Together, these allow us to quantify the dynamics of both young and established circulating memory CD4 T cell subsets, within both young and old mice. …”
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Fixed-Time Sliding Mode Control for Robotic Manipulators Based on Disturbance Observer by Tianli Li, Gang Zhang, Tan Zhang, Jing Pan

“…A novel controller using fixed-time sliding mode (FTSM) and fixed-time disturbance observer (FTDO) is proposed to achieve trajectory tracking control of robotic manipulators. First, the mathematical model is established for robots with dynamic model uncertainties and external disturbances. …”
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Quantum machine learning for Lyapunov-stabilized computation offloading in next-generation MEC networks by Vandana Rani Verma, Dinesh Kumar Nishad, Vishnu Sharma, Vinay Kumar Singh, Anshul Verma, Dharti Raj Shah

“…Our approach leverages hybrid quantum-classical neural networks to learn optimal offloading policies that maximize network performance while ensuring the stability of data queues, even under dynamic and unpredictable network conditions. Rigorous mathematical analysis proves that our quantum machine learning controller achieves close-to-optimal performance while bounding queue backlogs. …”
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Features of emotional burnout during the pandemic of nurses with different professional experience by V. V. Kozyreva

“…Yusupova, Spielberger-Khanin anxiety scale based on the results of mathematical analysis using the Mann-Whitney U-test, the relationship between the professional experience of nurses and the severity of the burnout syndrome is considered. …”
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Kinematics Analysis and Workspace Solution for the Heterogeneous Double-drive Universal Joint by Li Zhongtao, Luo Tianhong

“…The spatial motion coordinate system of the HDD-UJ is established, and its kinematics analysis is carried out and the kinematics equation is derived. Based on the mathematical principle of space geometry, the spatial motion range of the HDD-UJ is obtained, and the virtual simulation experiment of motion workspace is carried out. …”
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Constitution is not identity: On equivalence relations in translation of performance and translation for performance by Sarah Maitland

“…Using performance as a concretising lens, or “system of meaning” (Pavis, 1992) that takes on significance only in the coming together of the relationships united in production and reception (p. 25), and through the application of theories of mathematical equivalence relations, this article questions what the controversy tells us about what translation of performance ‘is’ and ‘should’ be, and suggests what lessons might be learned with regard to the notion of equivalence in translation. …”
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Modelling Moisture Sorption Isotherms of Superabsorbent Polymer Fabric for Desiccant Drying of Crops by Peter Kang’ethe Kimani, Ayub Njoroge Gitau, Duncan Onyango Mbuge, Januarius Ondiek Agullo

“…Using symbolic regression and nonlinear regression in R software, four mathematical models were obtained. R software codes were assembled for the analysis of sorption isotherm models. …”
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RECONSTRUCTION OF MECHANISMS REGULATING THE EXPRESSION OF THE ESCHERICHIA COLI YFIA GENE UNDER STRESS CONDITIONS by T. M. Khlebodarova, D. Yu. Oshchepkov, N. V. Tikunova, I. V. Babkin, A. D. Gruzdev, V. A. Likhoshvai

“…The regulatory region of the Escherichia coli yfiA gene was reconstructed by using the SiteCon web resource and mathematical modeling, and its expression complexity under oxidative stress was assessed. …”
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Modeling and simulation of carbon-nanocomposite-based gas sensors by Roopa Hegde, Punya Prabha V, Shipra Upadhyay, Krishna S B

“…Given the high cost associated with the development of these sensors, it becomes imperative to establish a mathematical model for economically predicting their behavior. …”
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Study on the Design and Tactile Percention of New Fully Actuated Bionic Hand by Xuewen Ping

“…By adopting the single current and multi-angle sensor used in combination，not only accurate control of finger joint angle is realized，at the same time，through the study of the data acquisition of angle sensor and drive current and matching processing，the current amplitude change and the joint force，current change rate and the mathematical model of hardness are established，which enrich the bionic hand tactile perception ability. …”
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Kin Competition Drives the Evolution of Earlier Metamorphosis by Bing Dong, Andy Gardner

“…Here we develop a mathematical model to investigate how kin selection shapes the optimal timing of metamorphosis from foraging, non‐reproductive larva to reproductive adult, when larvae tend to cluster with their genetic relatives. …”
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