Advances and Challenges in Thermoacoustic Network Modeling for Hydrogen and Ammonia Combustors by Seungmin Guk, Jaehoon Lee, Juwon Kim, Minwoo Lee

“…We outline the key mathematical frameworks derived from fundamental equations of motion, along with experimental validations and practical applications documented in existing studies. …”
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Research on NC Machining Method of Face Gear in High Speed Milling by Xingzu Ming, Hongyang Wang, Jinwei Shen, Lei Jin, Rui Ming

“…According to the principle of differential geometry and the theory of gear meshing， and with CNC milling machine high speed milling machined face gear as the research object， the mathematical model of straight tooth face gear is established. …”
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Optimal Hidden Node Area for Enhancing Routing Protocol Performance in IEEE 802.11 Multihop MANETs by Emeka Egbogah, Liqi Shi, Abraham Fapojuwo

“…Unlike descriptions from the literature, we describe the hidden node area in terms of multiple layers and the different levels of interference contributed by each layer. We then develop mathematical expressions to determine the probability of successful delivery and end-to-end delay of a packet transmitted over multiple hops to a receiver node exposed to hidden nodes, as a function of hop distance. …”
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Distributed Algorithm for Real-Time Energy Optimal Routing Based on Dual Decomposition of Linear Programming by Jiří Trdlička, Zdeněk Hanzálek

“…Thanks to the exact mathematical derivation, the algorithm computes the energy optimal real-time routing. …”
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Research on adsorption characteristics and adsorption model of CH4 and CO2 in Leping Formation coal seam of Fengcheng Mining Area by Fuqiang XIAO, Yongjun ZOU, Shuanglong ZHANG, Xing QI, Weidong XIAO

“…Nine different adsorption mathematical models were used to fit and analyze the CO2 adsorption experimental data, and the fitting effects of different models were tested. …”
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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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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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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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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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