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Search Results (211)

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Keywords = the second fundamental form

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26 pages, 9395 KiB  
Article
Experimental Investigation of the Seismic Behavior of a Multi-Story Steel Modular Building Using Shaking Table Tests
by Xinxin Zhang, Yucong Nie, Kehao Qian, Xinyu Xie, Mengyang Zhao, Zhan Zhao and Xiang Yuan Zheng
Buildings 2025, 15(15), 2661; https://doi.org/10.3390/buildings15152661 - 28 Jul 2025
Viewed by 322
Abstract
A steel modular building is a highly prefabricated form of steel construction. It offers rapid assembly, a high degree of industrialization, and an environmentally friendly construction site. To promote the application of multi-story steel modular buildings in earthquake fortification zones, it is imperative [...] Read more.
A steel modular building is a highly prefabricated form of steel construction. It offers rapid assembly, a high degree of industrialization, and an environmentally friendly construction site. To promote the application of multi-story steel modular buildings in earthquake fortification zones, it is imperative to conduct in-depth research on their seismic behavior. In this study, a seven-story modular steel building is investigated using shaking table tests. Three seismic waves (artificial ground motion, Tohoku wave, and Tianjin wave) are selected and scaled to four intensity levels (PGA = 0.035 g, 0.1 g, 0.22 g, 0.31 g). It is found that no residual deformation of the structure is observed after tests, and its stiffness degradation ratio is 7.65%. The largest strains observed during the tests are 540 × 10−6 in beams, 1538 × 10−6 in columns, and 669 × 10−6 in joint regions, all remaining below a threshold value of 1690 × 10−6. Amplitudes and frequency characteristics of the acceleration responses are significantly affected by the characteristics of the seismic waves. However, the acceleration responses at higher floors are predominantly governed by the structure’s low-order modes (first-mode and second-mode), with the corresponding spectra containing only a single peak. When the predominant frequency of the input ground motion is close to the fundamental natural frequency of the modular steel structure, the acceleration responses will be significantly amplified. Overall, the structure demonstrates favorable seismic resistance. Full article
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22 pages, 4200 KiB  
Article
Investigation of Personalized Visual Stimuli via Checkerboard Patterns Using Flickering Circles for SSVEP-Based BCI System
by Nannaphat Siribunyaphat, Natjamee Tohkhwan and Yunyong Punsawad
Sensors 2025, 25(15), 4623; https://doi.org/10.3390/s25154623 - 25 Jul 2025
Viewed by 906
Abstract
In this study, we conducted two steady-state visual evoked potential (SSVEP) studies to develop a practical brain–computer interface (BCI) system for communication and control applications. The first study introduces a novel visual stimulus paradigm that combines checkerboard patterns with flickering circles configured in [...] Read more.
In this study, we conducted two steady-state visual evoked potential (SSVEP) studies to develop a practical brain–computer interface (BCI) system for communication and control applications. The first study introduces a novel visual stimulus paradigm that combines checkerboard patterns with flickering circles configured in single-, double-, and triple-layer forms. We tested three flickering frequency conditions: a single fundamental frequency, a combination of the fundamental frequency and its harmonics, and a combination of two fundamental frequencies. The second study utilizes personalized visual stimuli to enhance SSVEP responses. SSVEP detection was performed using power spectral density (PSD) analysis by employing Welch’s method and relative PSD to extract SSVEP features. Commands classification was carried out using a proposed decision rule–based algorithm. The results were compared with those of a conventional checkerboard pattern with flickering squares. The experimental findings indicate that single-layer flickering circle patterns exhibit comparable or improved performance when compared with the conventional stimuli, particularly when customized for individual users. Conversely, the multilayer patterns tended to increase visual fatigue. Furthermore, individualized stimuli achieved a classification accuracy of 90.2% in real-time SSVEP-based BCI systems for six-command generation tasks. The personalized visual stimuli can enhance user experience and system performance, thereby supporting the development of a practical SSVEP-based BCI system. Full article
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20 pages, 1816 KiB  
Article
A Self-Attention-Enhanced 3D Object Detection Algorithm Based on a Voxel Backbone Network
by Zhiyong Wang and Xiaoci Huang
World Electr. Veh. J. 2025, 16(8), 416; https://doi.org/10.3390/wevj16080416 - 23 Jul 2025
Viewed by 551
Abstract
3D object detection is a fundamental task in autonomous driving. In recent years, voxel-based methods have demonstrated significant advantages in reducing computational complexity and memory consumption when processing large-scale point cloud data. A representative method, Voxel-RCNN, introduces Region of Interest (RoI) pooling on [...] Read more.
3D object detection is a fundamental task in autonomous driving. In recent years, voxel-based methods have demonstrated significant advantages in reducing computational complexity and memory consumption when processing large-scale point cloud data. A representative method, Voxel-RCNN, introduces Region of Interest (RoI) pooling on voxel features, successfully bridging the gap between voxel and point cloud representations for enhanced 3D object detection. However, its robustness deteriorates when detecting distant objects or in the presence of noisy points (e.g., traffic signs and trees). To address this limitation, we propose an enhanced approach named Self-Attention Voxel-RCNN (SA-VoxelRCNN). Our method integrates two complementary attention mechanisms into the feature extraction phase. First, a full self-attention (FSA) module improves global context modeling across all voxel features. Second, a deformable self-attention (DSA) module enables adaptive sampling of representative feature subsets at strategically selected positions. After extracting contextual features through attention mechanisms, these features are fused with spatial features from the base algorithm to form enhanced feature representations, which are subsequently input into the region proposal network (RPN) to generate high-quality 3D bounding boxes. Experimental results on the KITTI test set demonstrate that SA-VoxelRCNN achieves consistent improvements in challenging scenarios, with gains of 2.49 and 1.87 percentage points at Moderate and Hard difficulty levels, respectively, while maintaining real-time performance at 22.3 FPS. This approach effectively balances local geometric details with global contextual information, providing a robust detection solution for autonomous driving applications. Full article
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19 pages, 6699 KiB  
Article
Research on Peak Characteristics of Turbulent Flow in Horizontal Annuli with Varying Curvatures Based on Numerical Simulation
by Panliang Liu, Yanchao Sun, Jinxiang Wang and Guohua Chang
Symmetry 2025, 17(7), 1167; https://doi.org/10.3390/sym17071167 - 21 Jul 2025
Viewed by 229
Abstract
Annular flow is a common flow configuration encountered in fields such as food engineering, energy and power engineering, and petroleum engineering. The annular space formed by the inner and outer pipes exhibits unique characteristics, with the distinct curvatures of the inner and outer [...] Read more.
Annular flow is a common flow configuration encountered in fields such as food engineering, energy and power engineering, and petroleum engineering. The annular space formed by the inner and outer pipes exhibits unique characteristics, with the distinct curvatures of the inner and outer pipes rendering the annulus fundamentally different from a circular pipe. The complexity of the annular structure complicates the rapid calculation of turbulent statistics in engineering practice, as modeling these statistics necessitates a comprehensive understanding of their peak characteristics. However, current research lacks a thorough understanding of the peak characteristics of turbulent flows in annuli with varying diameter ratios (the ratio of the inner tube’s diameter to the outer tube’s diameter) between the inner and outer pipes. To gain a deeper insight into the turbulent peak characteristics within annular flows, this study employs numerical simulation methods to investigate the first- and second-order turbulent statistics under different diameter ratios resulting from varying curvatures of the inner and outer pipes. These statistics encompass velocity distribution, the position and magnitude of maximum velocity, turbulence intensity, turbulent kinetic energy, and Reynolds stress. The research findings indicate that the contour plots of velocity, turbulence intensity, and turbulent kinetic energy distributions under different diameter ratio conditions exhibit central symmetry. The peaks of the first-order statistical quantities are located in the mainstream region of the annulus, and their positions gradually shift closer to the center of the annulus as the diameter ratio increases. For the second-order statistical quantities, peaks are observed near both the inner and outer walls, and their positions move closer to the walls as the diameter ratio rises. The peak values of turbulent characteristics show significant variations across different diameter ratios. Both the inner and outer wall surfaces exhibit peaks in their second-order statistical quantities. For instance, the maximum value of Reynolds stress near the inner tube is 101.4% of that near the outer tube, and the distance from the wall where the maximum Reynolds stress occurs near the inner tube is 97.2% of the corresponding distance near the outer tube. This study is of great significance for optimizing the diameter combination of the inner and outer pipes in annular configurations and for evaluating turbulent statistics. Full article
(This article belongs to the Section Mathematics)
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8 pages, 296 KiB  
Communication
Equivalence of Informations Characterizes Bregman Divergences
by Philip S. Chodrow
Entropy 2025, 27(7), 766; https://doi.org/10.3390/e27070766 - 19 Jul 2025
Viewed by 269
Abstract
Bregman divergences form a class of distance-like comparison functions which plays fundamental roles in optimization, statistics, and information theory. One important property of Bregman divergences is that they generate agreement between two useful formulations of information content (in the sense of variability or [...] Read more.
Bregman divergences form a class of distance-like comparison functions which plays fundamental roles in optimization, statistics, and information theory. One important property of Bregman divergences is that they generate agreement between two useful formulations of information content (in the sense of variability or non-uniformity) in weighted collections of vectors. The first of these is the Jensen gap information, which measures the difference between the mean value of a strictly convex function evaluated on a weighted set of vectors and the value of that function evaluated at the centroid of that collection. The second of these is the divergence information, which measures the mean divergence of the vectors in the collection from their centroid. In this brief note, we prove that the agreement between Jensen gap and divergence informations in fact characterizes the class of Bregman divergences; they are the only divergences that generate this agreement for arbitrary weighted sets of data vectors. Full article
(This article belongs to the Section Information Theory, Probability and Statistics)
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12 pages, 276 KiB  
Article
A Note on Rigidity and Vanishing Theorems for Translating Solitons
by Jiji Peng and Guangwen Zhao
Mathematics 2025, 13(14), 2297; https://doi.org/10.3390/math13142297 - 17 Jul 2025
Viewed by 180
Abstract
In this short note, we focus on complete translating solitons with a bounded Lfn-norm of the second fundamental form and obtain two results. First, based on a Sobolev-type inequality and a Simons-type inequality, we establish a rigidity theorem of complete [...] Read more.
In this short note, we focus on complete translating solitons with a bounded Lfn-norm of the second fundamental form and obtain two results. First, based on a Sobolev-type inequality and a Simons-type inequality, we establish a rigidity theorem of complete translating solitons. Second, based on the same Sobolev-type inequality and a Bochner-type inequality, a vanishing theorem regarding Lfp weighted harmonic 1-forms is proved. Full article
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23 pages, 20707 KiB  
Article
Research on Energy Storage-Based DSTATCOM for Integrated Power Quality Enhancement and Active Voltage Support
by Peng Wang, Jianxin Bi, Fuchun Li, Chunfeng Liu, Yuanhui Sun, Wenhuan Cheng, Yilong Wang and Wei Kang
Electronics 2025, 14(14), 2840; https://doi.org/10.3390/electronics14142840 - 15 Jul 2025
Viewed by 287
Abstract
With the increasing penetration of distributed generation and the diversification of electrical equipment, distribution networks face issues like three-phase unbalance and harmonic currents, while the voltage stability and inertia of the grid-connected system also decrease. A certain amount of energy storage is needed [...] Read more.
With the increasing penetration of distributed generation and the diversification of electrical equipment, distribution networks face issues like three-phase unbalance and harmonic currents, while the voltage stability and inertia of the grid-connected system also decrease. A certain amount of energy storage is needed in a Distribution Static Synchronous Compensator (DSTATCOM) to manage power quality and actively support voltage and inertia in the network. This paper first addresses the limitations of traditional dq0 compensation algorithms in effectively filtering out negative-sequence twice-frequency components. An improved dq0 compensation algorithm is proposed to reduce errors in detecting positive-sequence fundamental current under unbalanced three-phase conditions. Second, considering the impedance ratio characteristics of the distribution network, while reactive power voltage regulation is common, active power regulation is more effective in high-resistance distribution networks. A grid-forming model-based active and reactive power coordinated voltage regulation method is proposed. This method uses synchronous control to establish a virtual three-phase voltage internal electromotive force, forming a comprehensive compensation strategy that combines power quality improvement and active voltage support, exploring the potential of energy storage DSTATCOM applications in distribution networks. Finally, simulation and experimental results demonstrate the effectiveness of the proposed control method. Full article
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19 pages, 463 KiB  
Article
The Nameless Dao in Concealment: Historical Transformations of the Quanzhen Seven Masters’ Image from Antiquity to Modernity
by Xiaoting Wang and Yixuan Li
Religions 2025, 16(6), 801; https://doi.org/10.3390/rel16060801 - 19 Jun 2025
Viewed by 553
Abstract
The Seven Masters of the Quanzhen 全真七子 sect served as central figures during the founding phase of Quanzhen Daoism and played key roles in the sect’s early development. Originally positioned as the “Northern Seven Perfected Ones” (Bei Qi Zhen 北七真), they were [...] Read more.
The Seven Masters of the Quanzhen 全真七子 sect served as central figures during the founding phase of Quanzhen Daoism and played key roles in the sect’s early development. Originally positioned as the “Northern Seven Perfected Ones” (Bei Qi Zhen 北七真), they were instrumental in propelling the prosperity and expansion of Quanzhen Daoism. Over time, their images subsequently proliferated across various media—including portrayals in stone inscription, painting, biography, and novel, undergoing transformations through inscriptions, paintings, biographies, and novels—transforming transmission channels from Daoist temples to stage performances and from street corners to modern screens. In the Jin and Yuan 金元 periods, Daoist biographies and inscriptions portrayed the Seven Masters as exemplary figures of Daoist practice. In folk novels and precious scrolls (Baojuan 宝卷) in the Ming 明 and Qing 清 dynasties, they were presented as legendary, divine immortals and distant ancestors available for narrative appropriation. In modern times—particularly due to the popularity of Jin Yong 金庸’s martial art novels—they completed their universalization as Daoist cultural resources blending chivalric ethos and entertainment value. Examining the evolution of the Seven Masters’ imagery, two fundamental implications emerge: First, this transformation was jointly shaped by the power structures, functional needs, and media forms of each era. Second, beneath the fluid representations from sacred patriarchs of the Jin–Yuan period to modern entertainment symbols, there is an enduring thread of Daoist transcendental consciousness. Full article
(This article belongs to the Special Issue The Diversity and Harmony of Taoism: Ideas, Behaviors and Influences)
25 pages, 1030 KiB  
Systematic Review
Newton’s Second Law Teaching Strategies—Identifying Opportunities for Educational Innovation
by Victor Ricardo Parra-Zeltzer, Jaime Huincahue and Diana Abril
Educ. Sci. 2025, 15(6), 748; https://doi.org/10.3390/educsci15060748 - 13 Jun 2025
Viewed by 691
Abstract
Physics teaching faces challenges due to students’ limited understanding of fundamental concepts such as force and motion, as well as the restricted pedagogical strategies often employed by instructors and the limited variety of approaches to physical foundations. This difficulty is aggravated by the [...] Read more.
Physics teaching faces challenges due to students’ limited understanding of fundamental concepts such as force and motion, as well as the restricted pedagogical strategies often employed by instructors and the limited variety of approaches to physical foundations. This difficulty is aggravated by the perception of physics as distant from everyday life and by the traditional approach focused on solving mathematical problems. Despite the importance of Newton’s second law, many students confuse the relationships between mass, force, and acceleration, which highlights the need to innovate in teaching practices toward active learning trends. To explore the state of teaching Newton’s second law, a systematic review of the literature was conducted using the PRISMA methodology, analyzing twenty-six articles from the Web of Science and Scopus databases. This revealed an increase in interest in teaching this law, especially in 2023. However, the limited number of studies (only 26) also indicates that research on this topic remains scarce and underexplored. Most studies focus on primary and secondary school students (43%) and employ quantitative methodologies (38%). Teaching strategies include problem-solving (40%), simulations (27%), practical activities (14%), and group discussions (12%). Furthermore, it was identified that Newton’s law is primarily represented in scalar form, with limited inclusion of vector approaches, which highlights the need to discuss didactic alternatives that consider both approaches. Full article
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35 pages, 5841 KiB  
Article
A Network Analysis of the Real Estate Fluctuation Propagation Effect in the United States
by Wenwen Xiao, Xuemei Pei, Wenhao Song and Lili Wang
Buildings 2025, 15(12), 2013; https://doi.org/10.3390/buildings15122013 - 11 Jun 2025
Viewed by 315
Abstract
Under the background of intensified global economic fluctuations, to prevent the systemic risk of real estate (e.g., the U.S. subprime crisis), this study constructs a linkage network of the real estate industry in the U.S. based on the complex network method, reveals the [...] Read more.
Under the background of intensified global economic fluctuations, to prevent the systemic risk of real estate (e.g., the U.S. subprime crisis), this study constructs a linkage network of the real estate industry in the U.S. based on the complex network method, reveals the fluctuation diffusion mechanism, identifies the key pivotal industries through the network characteristic indicators, and analyses the characteristics of the fluctuation conduction paths by applying the industrial fundamental association trees. The study found that (1) the U.S. real estate industry is a ‘supply hub’ industry, with first-order and second-order weighted degrees of mean 6.78, 3.98, and significant asymmetry in the supply structure of the industrial network; (2) industries like architectural, engineering, and related services (541300), nonresidential maintenance and repair (230301), and electric power generation, transmission, and distribution (221100) show high degree centrality and betweenness centrality. Their strong propagation and control capabilities form real estate fluctuations’ core transmission mechanisms; (3) foundational association trees reveal long, broad propagation paths where financial investment and energy-supply sectors act as “traffic hubs,” decisively influencing risk diffusion depth and breadth. Targeted policy recommendations address four dimensions: optimizing industrial chain structures, strengthening financial risk isolation, improving housing supply systems, and enhancing policy coordination. This aims to help China avoid U.S.-style real-estate-bubble risks and achieve coordinated real estate macroeconomy development. Full article
(This article belongs to the Section Architectural Design, Urban Science, and Real Estate)
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16 pages, 253 KiB  
Article
J˜-Tangent Affine Hypersurfaces with an Induced Almost Paracontact Structure
by Zuzanna Szancer
Symmetry 2025, 17(6), 806; https://doi.org/10.3390/sym17060806 - 22 May 2025
Viewed by 326
Abstract
The subjects of our study are affine hypersurfaces f:MR2n+2 considered with a transversal vector field C, which is J˜-tangent. By J˜ we understand the canonical paracomplex structure on [...] Read more.
The subjects of our study are affine hypersurfaces f:MR2n+2 considered with a transversal vector field C, which is J˜-tangent. By J˜ we understand the canonical paracomplex structure on R2n+2. The vector field C induces on the hypersurface f an almost paracontact structure (φ,ξ,η). We obtain a complete classification of hypersurfaces admitting a metric induced almost paracontact structure with respect to the second fundamental form. We show that, in this case, the J˜-tangent transversal vector field is restricted to centroaffine and the hypersurface must be a piece of hyperquadric. It is demonstrated that these hyperquadrics have a very specific form. A three-dimensional example is also given. Moreover, we establish an equivalence relation between almost paracontact metric structures, para α-contact metric structures, and para α-Sasakian structures. Methods of affine differential geometry, as well as paracomplex/paracontact geometry, are used. Full article
(This article belongs to the Section Mathematics)
12 pages, 253 KiB  
Article
Pinching Results on Totally Real Submanifolds of a Locally Conformal Kähler Manifolds
by Noura M. Alhouiti, Ali H. Alkhaldi, Akram Ali and Piscoran Laurian-Ioan
Mathematics 2025, 13(10), 1682; https://doi.org/10.3390/math13101682 - 21 May 2025
Viewed by 316
Abstract
This paper investigates the relationship between pseudo-umbilical and minimal totally real submanifolds in locally conformal Kähler space forms. Some rigidity theorems and an integral inequality are obtained using the moving-frame method and the DDVV inequality. Our results extend this line of previous research. [...] Read more.
This paper investigates the relationship between pseudo-umbilical and minimal totally real submanifolds in locally conformal Kähler space forms. Some rigidity theorems and an integral inequality are obtained using the moving-frame method and the DDVV inequality. Our results extend this line of previous research. Full article
(This article belongs to the Special Issue Analysis on Differentiable Manifolds)
11 pages, 244 KiB  
Article
Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form
by Fatimah Alghamdi and Akram Ali
Mathematics 2025, 13(10), 1643; https://doi.org/10.3390/math13101643 - 17 May 2025
Viewed by 282
Abstract
In the present paper, we investigate some pinching inequalities on the scalar curvature of a totally real submanifold in quaternionic space form that leads to a topological conclusion of the submanifold. In addition, we construct another inequality which includes the mean curvature and [...] Read more.
In the present paper, we investigate some pinching inequalities on the scalar curvature of a totally real submanifold in quaternionic space form that leads to a topological conclusion of the submanifold. In addition, we construct another inequality which includes the mean curvature and the length of the second fundamental form. Full article
(This article belongs to the Special Issue Recent Studies in Differential Geometry and Its Applications)
16 pages, 4904 KiB  
Article
Springback Behavior of AA 7075-T6 Alloy in V-Shaped Bending
by Çetin Karakaya and Seçil Ekşi
Appl. Sci. 2025, 15(10), 5509; https://doi.org/10.3390/app15105509 - 14 May 2025
Viewed by 502
Abstract
Springback is the most fundamental problem in all sheet metal-forming processes. Springback is affected by many process variables, and material properties are at the forefront of these variables. This study investigated the effects of the forming process at elevated temperature, bending radius, bending [...] Read more.
Springback is the most fundamental problem in all sheet metal-forming processes. Springback is affected by many process variables, and material properties are at the forefront of these variables. This study investigated the effects of the forming process at elevated temperature, bending radius, bending angle, and sheet metal thickness on the springback properties of AA 7075 aluminum alloy sheet metal with finite element analyses. The effects of process parameters on springback and maximum load are investigated using ANOVA analyses. The results show that the bending radius is the most effective on springback (45.2%). Metal thickness is the second critical parameter for springback (28.1%). The third most important factor is the process temperature (19.9%). Metal thickness (84.21%) is the most effective parameter on the maximum load. The bending angle is the second most important parameter (6.88%). Full article
(This article belongs to the Section Mechanical Engineering)
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25 pages, 461 KiB  
Article
A Deflationary Account of Information in Terms of Probability
by Riccardo Manzotti
Entropy 2025, 27(5), 514; https://doi.org/10.3390/e27050514 - 11 May 2025
Cited by 1 | Viewed by 926
Abstract
In this paper, I argue that information is nothing more than an abstract object; therefore, it does not exist fundamentally. It is neither a concrete physical entity nor a form of “stuff” that “flows” through communication channels or that is “carried” by vehicles [...] Read more.
In this paper, I argue that information is nothing more than an abstract object; therefore, it does not exist fundamentally. It is neither a concrete physical entity nor a form of “stuff” that “flows” through communication channels or that is “carried” by vehicles or that is stored in memories, messages, books, or brains—these are misleading metaphors. To support this thesis, I adopt three different approaches. First, I present a series of concrete cases that challenge our commonsensical belief that information is a real entity. Second, I apply Eleaticism (the principle that entities lacking causal efficacy do not exist). Finally, I provide a mathematical derivation showing that information reduces to probability and is therefore unnecessary both ontologically and epistemically. In conclusion, I maintain that information is a causally redundant epistemic construct that does not exist fundamentally, regardless of its remarkable epistemic convenience. What, then, is information? It is merely a very efficient way of describing reality—a manner of speaking, nothing more. Full article
(This article belongs to the Special Issue Integrated Information Theory and Consciousness II)
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