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11 pages, 1053 KB  
Communication
A Novel Theoretical Expression for the Impedance of a Ferrite-Loaded CW Illuminator
by Peng Chen, Yangzhen Qin, Fulin Wu, Guangshuo Zhang, Qi Xu, Tianao Li and Hongmin Lu
Sensors 2025, 25(17), 5285; https://doi.org/10.3390/s25175285 (registering DOI) - 25 Aug 2025
Abstract
The continuous-wave (CW) illuminator, whose fundamentals are related to the theoretical understanding of loop antennas loaded with ferrite materials, is a device which plays an important role in electromagnetic pulse (EMP) susceptibility assessment. However, existing theoretical formulas do not consider cases where ferrite [...] Read more.
The continuous-wave (CW) illuminator, whose fundamentals are related to the theoretical understanding of loop antennas loaded with ferrite materials, is a device which plays an important role in electromagnetic pulse (EMP) susceptibility assessment. However, existing theoretical formulas do not consider cases where ferrite materials are loaded into the loop antenna. This paper provides a new explicit theoretical formula for the impedance of a circular loop antenna loaded with ferrite materials for CW illuminator design, and explores the variation regularity of its input impedance. Loading ferrite materials affects the internal impedance of the loop antenna and forces some modifications to the classical calculation procedure, resulting in an asymptotic numerical calculation method and a closed-form solution. The full-wave simulation results from CST Studio Suite show a maximum error of less than 0.99%, compared to the classical theory. With ferrite material loaded, the input impedance of the loop antenna is significantly reduced and smoothed in a wide range of normalized radii. For a loop antenna with a fixed circumference, the input impedance indicates that the Q-factor decreases as the thickness of the ferrite material increases. Conversely, for a ferrite-loaded loop antenna with a constant material thickness, a larger loop circumference results in a higher Q-factor. In summary, this study provides a fast and accurate computational method for the input impedance design of CW illuminators, while also offering an effective tool for further research on the performance of ferrite-loaded loop antennas. Full article
(This article belongs to the Section Electronic Sensors)
22 pages, 2397 KB  
Article
Exogenous Methyl Jasmonate Effects of Sugar, Acid, and Calcium Accumulation During Fruit Development in Prunus humilis Bunge
by Li Zhang, Zhaoyang Liang and Jinli Guo
Horticulturae 2025, 11(9), 1008; https://doi.org/10.3390/horticulturae11091008 (registering DOI) - 25 Aug 2025
Abstract
Prunus humilis is rich in various minerals, organic acids, proteins, and carbohydrates, but its sour taste limits fresh consumption and industry growth. Methyl jasmonate, a plant growth regulator known to enhance fruit quality, has been studied in other fruits, but research on its [...] Read more.
Prunus humilis is rich in various minerals, organic acids, proteins, and carbohydrates, but its sour taste limits fresh consumption and industry growth. Methyl jasmonate, a plant growth regulator known to enhance fruit quality, has been studied in other fruits, but research on its effects on P. humilis has not yet been reported. This experiment used the P. humilis cultivar ‘Nongda No. 4’ as the material. During the fruit development stages (the pre-young fruit stage and pre-coloring and enlargement stage), the fruiting branches were sprayed with a 20 mg/L methyl jasmonate solution four times. The results indicate that exogenous methyl jasmonate increases the content of various sugar components in P. humilis fruits throughout their development, with a particularly strong effect in the later stages of fruit development. It effectively reduces the content of malic acid and citric acid in these later stages while significantly enhancing flavor-related attributes such as the sweetness, sugar–acid ratio, and sweetness–acid ratio. Moreover, methyl jasmonate markedly promoted the accumulation of different forms of calcium in the fruit. Specifically, at the fully ripe stage, the total sugar content increased significantly by 18.64% (p < 0.05), the total acid content decreased by 15.95% (p < 0.05), and the total calcium content increased by 55.98% (p < 0.05). Correlation and principal component analyses revealed that sugars, acids, and calcium are closely linked in P. humilis, and exogenous treatment with methyl jasmonate effectively improved the overall quality score of sugars, acids, and calcium in the fruit throughout its development. In conclusion, exogenous methyl jasmonate can effectively improve the sugar–acid quality, flavor, and calcium content of P. humilis fruits. This provides a theoretical foundation for cultivation management, quality enhancement, and the breeding of fresh-eating cultivars. Full article
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26 pages, 1292 KB  
Article
Linear Damped Oscillations Underlying the Fractional Jeffreys Equation
by Emad Awad, Alaa A. El-Bary and Weizhong Dai
Fractal Fract. 2025, 9(9), 556; https://doi.org/10.3390/fractalfract9090556 - 23 Aug 2025
Viewed by 51
Abstract
In this study, we consider a fractional-order extension of the Jeffreys equation (also known as the dual-phase-lag equation) by introducing the Reimann–Liouville fractional integral, of order 0<ν<1, to the Jeffreys constitutive law, where for ν=1 it [...] Read more.
In this study, we consider a fractional-order extension of the Jeffreys equation (also known as the dual-phase-lag equation) by introducing the Reimann–Liouville fractional integral, of order 0<ν<1, to the Jeffreys constitutive law, where for ν=1 it corresponds to the conventional Jeffreys equation. The kinetical behaviors of the fractional equation such as non-negativity of the propagator, mean-squared displacement, and the temporal amplitude are investigated. The fractional Langevin equation, or the fractional damped oscillator, is a special case of the considered integrodifferential equation governing the temporal amplitude. When ν=0 and ν=1, the fractional differential equation governing the temporal amplitude has the mathematical structure of the classical linear damped oscillator with different coefficients. The existence of a real solution for the new temporal amplitude is proven by deriving this solution using the complex integration method. Two forms of conditional closed-form solutions for the temporal amplitude are derived in terms of the Mittag–Leffler function. It is found that the proposed generalized fractional damped oscillator equation results in underdamped oscillations in the case of 0<ν<1, under certain constraints derived from the non-fractional case. Although the nonfractional case has the form of classical linear damped oscillator, it is not necessary for its solution to have the three common types of oscillations (overdamped, underdamped, and critical damped), unless a certain condition is met on the coefficients. The obtained results could be helpful for analyzing thermal wave behavior in fractals, heterogeneous materials, or porous media since the fractional-order derivatives are related to the porosity of media. Full article
(This article belongs to the Special Issue Recent Trends in Computational Physics with Fractional Applications)
12 pages, 666 KB  
Article
Optimal Consumption, Portfolio, and Retirement Under Implementation Delay
by Geonwoo Kim and Junkee Jeon
Mathematics 2025, 13(17), 2704; https://doi.org/10.3390/math13172704 - 22 Aug 2025
Viewed by 128
Abstract
We develop a continuous-time model of optimal consumption, portfolio allocation, and early retirement that, to our knowledge, is the first to incorporate an implementation delay —a fixed lag δ between the retirement decision and the actual cessation of labor and income. Using a [...] Read more.
We develop a continuous-time model of optimal consumption, portfolio allocation, and early retirement that, to our knowledge, is the first to incorporate an implementation delay —a fixed lag δ between the retirement decision and the actual cessation of labor and income. Using a dual-martingale approach, we obtain closed-form solutions and quantify how δ affects optimal behavior. For example, when δ increases from 0.5 to 2 years (baseline parameters: β=0.04, r=0.02, μ=0.08, σ=0.2, γ=3, kB=0.3, and ε=1), optimal pre-retirement consumption rises by approximately 7%, the risky asset share falls by about 5 percentage points, the expected retirement time increases by over 1 year, and the retirement wealth threshold xR grows by roughly 10%. These results provide policy-relevant insights for retirement systems where procedural lags can distort incentives and reduce welfare. Full article
(This article belongs to the Special Issue New Advances in Mathematical Economics and Financial Modelling)
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24 pages, 6687 KB  
Article
A Gamified Teaching Proposal Using an Escape Box to Explore Marine Plastic Pollution
by Lourdes Aragón and Carmen Brenes-Cuevas
Sustainability 2025, 17(16), 7528; https://doi.org/10.3390/su17167528 - 20 Aug 2025
Viewed by 334
Abstract
This work draws on the principles of Environmental Education as a framework for designing meaningful teaching interventions that foster a critical understanding of socio-environmental issues. The proposal focuses on the specific case of plastic pollution and its impact on marine ecosystems, adopting an [...] Read more.
This work draws on the principles of Environmental Education as a framework for designing meaningful teaching interventions that foster a critical understanding of socio-environmental issues. The proposal focuses on the specific case of plastic pollution and its impact on marine ecosystems, adopting an integrative perspective that connects animal, environmental, and human health. To this end, the One Health approach is incorporated, highlighting the close interdependence between the health of ecosystems, animals, and people, which allows the issue to be analyzed from a systemic and global perspective. The intervention is grounded in the principles of Transformative Environmental Education—a pedagogical orientation that seeks to promote deep changes in how students understand their environment and engage with the challenges of today’s world. This approach encourages ethical reflection, critical thinking, and the ability to imagine sustainable futures, as well as the development of competencies for action and civic engagement. The teaching proposal takes the form of a learning experience designed and implemented in three 7th-grade classrooms (1º ESO) in Cádiz, Spain, through a mixed-methods approach with 79 students (12–13 years old), structured around an escape box activity. This is a variation of the escape room format in which students, working in teams, must open a series of boxes by solving a sequence of puzzles. In this case, the escape box is set in a marine context. Through a gamified narrative, students receive a suitcase containing objects, clues, and materials that require the application of scientific knowledge about ocean acidification, biodiversity loss, and types of plastics. Data were collected through field notes, student artifacts, and a final questionnaire. The proposal is designed to foster critical environmental literacy, a holistic vision of environmental challenges, and the capacity to propose collective solutions from a One Health perspective. The results revealed high levels of motivation, engagement with the storyline, and a solid understanding of the link between marine plastic pollution and its effects on animal and human health, aligned with the One Health perspective. Full article
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20 pages, 1158 KB  
Article
Integrated Optimization Method of External Wall Insulation for Granaries in Different Climate Regions in China
by Ruili Liu, Zhu He, Chengzhou Guo and Haitao Wang
Sustainability 2025, 17(16), 7489; https://doi.org/10.3390/su17167489 - 19 Aug 2025
Viewed by 279
Abstract
The use of thermal insulation material in building envelopes is closely related to economic benefits, energy-savings, and carbon reduction of buildings. The construction forms of different components in building envelopes have an important influence on the optimization design of thermal insulation in building [...] Read more.
The use of thermal insulation material in building envelopes is closely related to economic benefits, energy-savings, and carbon reduction of buildings. The construction forms of different components in building envelopes have an important influence on the optimization design of thermal insulation in building envelopes. In this study, an integrated optimization approach is proposed to search for the best solution of thermal insulation in external walls and the optimal combination scheme of different construction forms of envelope components in granaries. The integrated optimization approach consists of an orthogonal experimental design (OEDM) method-based determination module of an optimal combination scheme of different construction forms of components, an assessment model-based quantitative analysis module, and an integrated assessment indicator-based selection module of the best solution of external wall insulation. Firstly, the OEDM method is used to determine the optimal combination scheme of different construction forms of the foundation wall of an external wall, thermal insulation material, external window, roof, and floors in buildings. Secondly, integrated economic, energy, and carbon analysis models are developed to analyze comprehensive performance of external wall insulation. Finally, an integrated assessment indicator consisting of an energy balanced index, a carbon balanced index, and weight coefficients is presented to determine the best solution of external wall insulation. The applications of this optimization approach in different ecological grain storage zones in China demonstrated that the outdoor air temperature characteristics could affect the comprehensive performance of external wall insulation in granaries, significantly. The best solution of external wall insulation in granaries in Turpan city, Daqing city, Kaifeng city, Changsha city, Anshun city, and Danzhou city was expanded polystyrene insulation (EPS) with a layer thickness of 0.078 m, 0.048 m, 0.083 m, 0.089 m, 0.062 m, and 0.131 m, respectively. The greatest difference in the lowest entire construction cost and the lowest carbon emission of external wall insulation among different typical climate regions in China was 12.987 USD/m2 and 6.3 kgCO2e/m2, respectively. Full article
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40 pages, 8917 KB  
Article
Elastic Contact Between a Transversely, Uniformly Loaded Circular Membrane and a Spring-Reset Rigid Flat Circular Plate: An Improved Closed-Form Solution
by Xiao-Ting He, Jing-Miao Yin, Jun-Song Ran, Jun-Yi Sun and Ying Guo
Mathematics 2025, 13(16), 2626; https://doi.org/10.3390/math13162626 - 15 Aug 2025
Viewed by 175
Abstract
The closed-form solution of the problem regarding elastic contact between a transversely, uniformly loaded circular membrane and a spring-reset rigid flat circular plate has potential application value in sensor developments or bending-free shell designs, but it still needs to be further improved. In [...] Read more.
The closed-form solution of the problem regarding elastic contact between a transversely, uniformly loaded circular membrane and a spring-reset rigid flat circular plate has potential application value in sensor developments or bending-free shell designs, but it still needs to be further improved. In this paper, on the basis of existing studies, the plate/membrane elastic contact problem is reformulated by improving the system of differential equations governing the elastic behavior of a large deflection of a circular membrane. Specifically, the radial geometric equation used in the existing studies is improved by giving up the assumption of a small rotation angle for the membrane, and an improved closed-form solution to the plate/membrane elastic contact problem is presented. The convergence and validity of the improved closed-form solution are analyzed, and the difference between the closed-form solutions before and after improvement is graphically shown. In addition, the effect of changing some important geometric and physical parameters on the improved closed-form solution is investigated. Full article
(This article belongs to the Special Issue Mathematical Models in Mechanics and Engineering)
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22 pages, 2608 KB  
Article
Fast Buckling Analysis of Stiffened Composite Structures for Preliminary Aerospace Design
by Dimitrios G. Stamatelos and George N. Labeas
Aerospace 2025, 12(8), 726; https://doi.org/10.3390/aerospace12080726 - 14 Aug 2025
Viewed by 222
Abstract
Predicting buckling in large-scale composite structures is hindered by the need for highly detailed Finite Element (FE) models, which are computationally expensive and impractical for early-stage design iterations. This study introduces a macromodelling buckling framework that reduces those models to plate-level size without [...] Read more.
Predicting buckling in large-scale composite structures is hindered by the need for highly detailed Finite Element (FE) models, which are computationally expensive and impractical for early-stage design iterations. This study introduces a macromodelling buckling framework that reduces those models to plate-level size without sacrificing accuracy. An equivalent bending stiffness matrix is derived from strain–energy equivalence, rigorously retaining orthotropic in-plane terms, bending–extensional coupling, and—crucially—the eccentricity of compressive loads about an unsymmetrically stiffened mid-plane, effects overlooked by conventional Parallel-Axis smearing. These stiffness terms contribute to closed-form analytical solutions for homogeneous orthotropic plates, providing millisecond-level evaluations ideal for gradient-based design optimisation. The method is benchmarked against detailed FE simulations of panels with three to ten stringers under longitudinal and transverse compression, showing less than 5% deviation in critical load prediction. Its utility is demonstrated in the sizing optimisation of the upper cover of a scaled Airbus A330 composite wing-box, where the proposed model explores the design space in minutes on a standard workstation, orders of magnitude faster than full FE analyses. By combining analytical plate theory, enhanced smearing, and rapid optimisation capability, the framework provides an accurate, ultra-fast tool for buckling analysis and the preliminary design of large-scale stiffened composite structures. Full article
(This article belongs to the Section Aeronautics)
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22 pages, 5403 KB  
Article
SSF-Roundabout: A Smart and Self-Regulated Roundabout with Right-Turn Bypass Lanes
by Marco Guerrieri and Masoud Khanmohamadi
Appl. Sci. 2025, 15(16), 8971; https://doi.org/10.3390/app15168971 - 14 Aug 2025
Viewed by 180
Abstract
This paper presents the novel, smart, commutable, and self-regulated SSF-Roundabout as one of the potential solutions in the environment of smart mobility. The SSF-Roundabout implements traffic counting systems, smart cameras, LED road markers, and Variable Message Signs (VMS) on arms. Based on the [...] Read more.
This paper presents the novel, smart, commutable, and self-regulated SSF-Roundabout as one of the potential solutions in the environment of smart mobility. The SSF-Roundabout implements traffic counting systems, smart cameras, LED road markers, and Variable Message Signs (VMS) on arms. Based on the instantaneous detection of the traffic demand level, vehicles can be properly channelled or not into right-turn bypass lanes, which the roundabout is equipped with in every arm, to guarantee the requested capacity, Level of Service (LOS), and safety. In total, fifteen very different layout configurations of the SSF-Roundabout are available. Several traffic analyses were performed by using ad hoc traffic engineering closed-form models and case studies based on many origin-destination traffic matrices (MO/D(t)) and proportions of CAVs in the traffic stream (from 0% to 100%). Simulation results demonstrate the correlation between layout scenarios, traffic intensity, distribution among arms, and composition in terms of CAVs and their impact on entry and total capacity, control delay, and LOS of the SSF-Roundabout. For instance, the right-turn bypass lane activation may produce an entry capacity increase of 48% and a total capacity increase of 50% in the case of 100% of CAVs in traffic streams. Full article
(This article belongs to the Special Issue Communication Technology for Smart Mobility Systems)
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27 pages, 10368 KB  
Article
Hydrothermal Scheelite Associated with Upper Cretaceous Intrusions in Romania: A Mineralogical Insight to the W Metallogeny
by Ştefan Marincea, Delia-Georgeta Dumitraş, Cristina Sava Ghineț, George Dincă, Aurora-Măruța Iancu, Frédéric Hatert, Martin Depret and Gelu Costin
Minerals 2025, 15(8), 854; https://doi.org/10.3390/min15080854 - 13 Aug 2025
Viewed by 354
Abstract
Hydrothermal scheelite from three Romanian occurrences was analyzed in order to ascertain its structural, physical, vibrational, paragenetic, and crystal-chemical peculiarities as an important tool for characterizing the metallogenetic behavior and facilitating the ore-processing. All three occurrences, i.e., Ciclova and Oravița in Banat and [...] Read more.
Hydrothermal scheelite from three Romanian occurrences was analyzed in order to ascertain its structural, physical, vibrational, paragenetic, and crystal-chemical peculiarities as an important tool for characterizing the metallogenetic behavior and facilitating the ore-processing. All three occurrences, i.e., Ciclova and Oravița in Banat and Băița Bihor in the Bihor Mountains, are related to skarn deposits developed at the contact of Upper Cretaceous granodioritic bodies with Mesozoic calcareous deposits. Typical crystals show {001}, {111}, and {101} forms and are up to 15 mm across. The structure was successfully refined as tetragonal, space group I41/a, with R1 = 0.0165 (Ciclova), 0.0204 (Oravița), and 0.0237 (Băița Bihor), respectively. The cell parameters refined for the same samples are a = 5.2459(10) Å and c = 11.3777(5) Å at Ciclova, a = 5.2380(2) Å and c = 11.3679(8) Å at Oravița, and a = 5.2409(2) Å and c = 11.3705(6) Å at Băița Bihor. The multiplicity of bands in both infrared absorption and Raman spectra is consistent with the S4 punctual symmetry of the tungstate anion, agreeing with the structural data. In all cases, the analyzed scheelite is close to the CaWO4 end-member. Cathodoluminescence peculiarities at the level of single crystals suggest that they crystallized in a slightly oxidizing to reducing environment from late hydrothermal solutions. Textural and paragenetic peculiarities suggest that scheelite from the three occurrences crystallized from epithermal, low-temperature, fluoride- and boron-bearing aqueous solutions. Full article
(This article belongs to the Special Issue Igneous Rocks and Related Mineral Deposits)
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28 pages, 3360 KB  
Article
Dynamic Surrogate Model-Driven Multi-Objective Shape Optimization for Photovoltaic-Powered Underwater Vehicle
by Chenyu Wang, Likun Peng, Jiabao Chen, Wei Pan, Jia Chen and Huarui Wang
J. Mar. Sci. Eng. 2025, 13(8), 1535; https://doi.org/10.3390/jmse13081535 - 10 Aug 2025
Viewed by 352
Abstract
In this study, a multi-objective shape optimization framework was established for photovoltaic-powered underwater vehicles (PUVs) to systematically investigate multidisciplinary coupled design methodologies. Specifically, a global sensitivity analysis was conducted to identify four critical design parameters with 24 h energy consumption and cabin volume [...] Read more.
In this study, a multi-objective shape optimization framework was established for photovoltaic-powered underwater vehicles (PUVs) to systematically investigate multidisciplinary coupled design methodologies. Specifically, a global sensitivity analysis was conducted to identify four critical design parameters with 24 h energy consumption and cabin volume serving as dual optimization objectives. An integrated automated optimization workflow was constructed by incorporating parametric modeling, computational fluid dynamics (CFD) simulations, and dynamic surrogate models. Additionally, a new phased hybrid adaptive lower confidence bound (PHA-LCB) infill criterion was designed under the consideration of error-driven mechanisms, improvement feedback loops, and iterative attenuation factors to develop high-precision dynamic surrogate models. Coupled with the NSGA-II multi-objective genetic algorithm, this framework generated Pareto-optimal front solutions possessing significant engineering value. Furthermore, an optimal design configuration was ultimately determined through multi-criteria decision analysis. Compared to the initial form, it generates an additional 1148.12 Wh of electrical energy within 24 h, with an 22.36% increase in sailing range and a 2.77% improvement in cabin volume capacity. The proposed closed-loop “modeling–simulation–optimization” framework realized multi-objective optimization of PUV shape parameters, providing methodological paradigms and technical foundations for the engineering design of next-generation autonomous underwater vehicles. Full article
(This article belongs to the Section Ocean Engineering)
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25 pages, 1731 KB  
Article
Coverage Analysis of 5G Intelligent High-Speed Railway System Based on Beamwidth-Adaptive Free-Space Optical Communication
by Shuai Dong, Zhi-Zhao Zeng, Dan-Ting Zhang, Zi-Qi Sun and Jin-Yuan Wang
Sensors 2025, 25(16), 4906; https://doi.org/10.3390/s25164906 - 8 Aug 2025
Viewed by 370
Abstract
The rapid development of intelligent high-speed railways (HSRs) has significantly improved the transportation efficiency of modern transit systems, while also imposing higher bandwidth demands on mobile communication systems. Free-space optical (FSO) communication technology, as a promising solution, can effectively meet the high-speed data [...] Read more.
The rapid development of intelligent high-speed railways (HSRs) has significantly improved the transportation efficiency of modern transit systems, while also imposing higher bandwidth demands on mobile communication systems. Free-space optical (FSO) communication technology, as a promising solution, can effectively meet the high-speed data transmission requirements in intelligent HSR scenarios. In this paper, we consider an intelligent HSR system based on beamwidth-adaptive FSO communication and investigate the coverage performance of the system. Different from the circular cells used in traditional radio frequency wireless communication systems, this paper focuses on the coverage problem of narrow-strip-shaped cells in HSR systems based on FSO communication. When the transmitter emits a wide beam, the channel gain includes geometric loss, atmospheric attenuation, and atmospheric turbulence. When the transmitter emits a narrow beam, the channel gain includes pointing error, atmospheric attenuation, and atmospheric turbulence. To adapt the width of the transmitter’s beam, we propose a beamwidth-adaptive HSR system and a beamwidth-adaptive method. Furthermore, we derive closed-form expressions of the edge coverage probability (ECP) and the percentage of cell coverage area (CCA), where the ECP is the probability that the received signal-to-noise ratio at the cell edge is greater than or equal to a given threshold, and the percentage of CCA dictates the percentage of locations within a cell that are not in outage. The accuracy of the derived theoretical expressions is validated through Monte-Carlo simulations. The average relative error of the ECP between theoretical and simulation results is only 0.035%, and the corresponding error of the percentage of CCA is 0.087%. In addition, the impacts of factors such as cell diameter, transmission power, signal-to-noise ratio threshold, and weather visibility on coverage performance are also discussed. Full article
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29 pages, 9860 KB  
Article
The Source and Evolution of Ore-Forming Fluids in the Xiaobaihegou Fluorite Deposit, Altyn-Tagh Orogen, NW China: Constraints from Trace Element, Fluid Inclusion, and Isotope Studies
by Kang Chen, Wenlei Song, Yuanwei Wang, Long Zhang, Yongkang Jing, Yi Zhang, Yongbao Gao, Ming Liu, Nan Deng and Junwei Wu
Minerals 2025, 15(8), 840; https://doi.org/10.3390/min15080840 - 8 Aug 2025
Viewed by 331
Abstract
The Xiaobaihegou fluorite deposit is located in the southwest of the Altyn-Tagh Orogen, NW China. However, the provenance, thermodynamic properties, and enrichment mechanisms of the ore-forming fluids in this deposit remain unclear. Fluorite mineralization primarily occurs in the vicinity of the contact zone [...] Read more.
The Xiaobaihegou fluorite deposit is located in the southwest of the Altyn-Tagh Orogen, NW China. However, the provenance, thermodynamic properties, and enrichment mechanisms of the ore-forming fluids in this deposit remain unclear. Fluorite mineralization primarily occurs in the vicinity of the contact zone between the granite and the wall rocks. The zircon U-Pb age of the alkali-feldspar granite in the Xiaobaihegou fluorite deposit is 482.3 ± 4.1 Ma. The ore-hosting lithologies are mainly calcareous rock series of the Altyn Group. The ore bodies are controlled by NE-trending faults and consist primarily of veined, brecciated, massive, and banded ores. The ore mineral assemblage is primarily composed of calcite and fluorite. The rare earth element (REE) patterns of fluorite and calcite in the Xiaobaihegou deposit exhibit right-dipping LREE enrichment with distinct negative Eu anomalies, which closely resemble those of the alkali-feldspar granite. This similarity suggests that the REE distribution patterns of fluorite and calcite were likely inherited from the pluton. The ore-forming process can be divided into an early stage and a late stage. The massive ores formed in the early stage contain mainly gas-rich two-phase fluid inclusions and CO2-bearing three-phase inclusions, with homogenization temperatures ranging from 235 °C to 426 °C and salinities from 28.59% to 42.40% NaCl equivalent. In the late stage, brecciated and stockwork ores were formed. They host liquid-rich two-phase and gas-rich two-phase fluid inclusions, with homogenization temperatures ranging from 129 °C to 350 °C and salinities from 0.88% to 21.61% NaCl equivalent. The results of hydrogen and oxygen isotope studies indicate that the ore-forming fluids were derived from a mixture of magmatic–hydrothermal and meteoric water. Fluorite precipitation in the early stage was mainly due to the mixing of magmatic–hydrothermal solution and meteoric water, as well as a water–rock reaction. In the late stage, fluid mixing further occurred, resulting in a decrease in temperature and the formation of brecciated and stockwork ores. The 87Sr/86Sr and 143Nd/144Nd ratios of fluorite from the deposit range from 0.71033 to 0.71272 and 0.511946 to 0.512073, respectively, indicating that the ore-forming material originates from the crust. Based on the ore-forming characteristics, it is proposed that Ca may be primarily leached from the strata formation, while F may predominantly originate from magmatic–hydrothermal solutions. The formation of fluorite deposits is closely related to the transition of the Central Altyn-Tagh Block and Qaidam Block from a compressional orogenic environment to an extensional tectonic environment. Full article
(This article belongs to the Section Mineral Deposits)
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23 pages, 4594 KB  
Article
Minimization of Resource Consumption with URLLC Constraints for Relay-Assisted IIoT
by Yujie Zhao, Tao Peng, Yichen Guo, Yijing Niu and Wenbo Wang
Sensors 2025, 25(15), 4846; https://doi.org/10.3390/s25154846 - 6 Aug 2025
Viewed by 262
Abstract
In relay-assisted Industrial Internet of Things (IIoT) systems with ultra-reliable low-latency communication (uRLLC) requirements, finite blocklength coding imposes stringent resource constraints. In this work, the packet error probability (PEP) and blocklength allocation across two-hop links are jointly optimized to minimize total blocklength (resource [...] Read more.
In relay-assisted Industrial Internet of Things (IIoT) systems with ultra-reliable low-latency communication (uRLLC) requirements, finite blocklength coding imposes stringent resource constraints. In this work, the packet error probability (PEP) and blocklength allocation across two-hop links are jointly optimized to minimize total blocklength (resource consumption) while satisfying reliability, latency, and throughput requirements. The original multi-variable problem is decomposed into two tractable subproblems. In the first subproblem, for a fixed total blocklength, the achievable rate is maximized. A near-optimal PEP is first derived via theoretical analysis. Subsequently, theoretical analysis proves that blocklength must be optimized to equalize the achievable rates between the two hops to maximize system performance. Consequently, the closed-form solution to optimal blocklength allocation is derived. In the second subproblem, the total blocklength is minimized via a bisection search method. Simulation results show that by adopting near-optimal PEPs, our approach reduces computation time by two orders of magnitude while limiting the achievable rate loss to within 1% compared to the exhaustive search method. At peak rates, the hop with superior channel conditions requires fewer resources. Compared with three baseline algorithms, the proposed algorithm achieves average resource savings of 21.40%, 14.03%, and 17.18%, respectively. Full article
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16 pages, 343 KB  
Article
Structured Distance to Normality of Dirichlet–Neumann Tridiagonal Toeplitz Matrices
by Zhaolin Jiang, Hongxiao Chu, Qiaoyun Miao and Ziwu Jiang
Axioms 2025, 14(8), 609; https://doi.org/10.3390/axioms14080609 - 5 Aug 2025
Viewed by 200
Abstract
This paper conducts a rigorous study on the spectral properties and operator-space distances of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, with emphasis on their asymptotic behaviors. We establish explicit closed-form solutions for the eigenvalues and associated eigenvectors, highlighting their fundamental importance for characterizing [...] Read more.
This paper conducts a rigorous study on the spectral properties and operator-space distances of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, with emphasis on their asymptotic behaviors. We establish explicit closed-form solutions for the eigenvalues and associated eigenvectors, highlighting their fundamental importance for characterizing matrix stability in the presence of perturbations. By exploiting the structural characteristics of PDNT Toeplitz matrices, we obtain closed-form expressions quantifying the distance to normality, the deviation from normality. Full article
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