Symmetry最新文献_第10页

Degree of Lp Approximation Using Activated Singular Integrals 使用活化奇积分的 Lp 近似度

Symmetry Pub Date : 2024-08-10 DOI: 10.3390/sym16081022

George A. Anastassiou

引用次数: 0

Symmetries and Invariant Solutions of Higher-Order Evolution Systems 高阶演化系统的对称性和不变解

Symmetry Pub Date : 2024-08-10 DOI: 10.3390/sym16081023

Rita Tracinà

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The Aesthetics and Pragmatics of Symmetry in High-Gain and Wideband Circularly Polarized Antenna Design 高增益和宽带圆极化天线设计中的对称美学与实用主义

Symmetry Pub Date : 2024-08-09 DOI: 10.3390/sym16081016

Chunping Liao, Wenyong Liu, Xianjing Lin

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Strong Decays of the ϕ(2170) as a Fully Strange Tetraquark State 作为完全奇异四夸克态的ϕ(2170)的强衰变

Symmetry Pub Date : 2024-08-09 DOI: 10.3390/sym16081021

Yi-Wei Jiang, Wei-Han Tan, Hua-Xing Chen, Er-Liang Cui

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Oscillatory Properties of Second-Order Differential Equations with Advanced Arguments in the Noncanonical Case 二阶微分方程的振荡特性与非正则情况下的高级论证

Symmetry Pub Date : 2024-08-09 DOI: 10.3390/sym16081018

Zuhur Alqahtani, B. Qaraad, A. Almuneef, Faizah Alharbi

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Regularization and Propagation in a Hamilton–Jacobi–Bellman-Type Equation in Infinite-Dimensional Hilbert Space 无穷维希尔伯特空间中汉密尔顿-雅各比-贝尔曼方程的正则化与传播

Symmetry Pub Date : 2024-08-09 DOI: 10.3390/sym16081017

Carlo Bianca, C. Dogbé

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Enumeration of n-Dimensional Hypercubes, Icosahedra, Rubik’s Cube Dice, Colorings, Chirality, and Encryptions Based on Their Symmetries 基于对称性的 n 维超立方体、二十面体、魔方骰子、颜色、手性和加密的枚举

Symmetry Pub Date : 2024-08-09 DOI: 10.3390/sym16081020

K. Balasubramanian

{"title":"Enumeration of n-Dimensional Hypercubes, Icosahedra, Rubik’s Cube Dice, Colorings, Chirality, and Encryptions Based on Their Symmetries","authors":"K. Balasubramanian","doi":"10.3390/sym16081020","DOIUrl":"https://doi.org/10.3390/sym16081020","url":null,"abstract":"The whimsical Las Vegas/Monte Carlo cubic dice are generalized to construct the combinatorial problem of enumerating all n-dimensional hypercube dice and dice of other shapes that exhibit cubic, icosahedral, and higher symmetries. By utilizing powerful generating function techniques for various irreducible representations, we derive the combinatorial enumerations of all possible dice in n-dimensional space with hyperoctahedral symmetries. Likewise, a number of shapes that exhibit icosahedral symmetries such as a truncated dodecahedron and a truncated icosahedron are considered for the combinatorial problem of dice enumerations with the corresponding shapes. We consider several dice with cubic symmetries such as the truncated octahedron, dodecahedron, and Rubik’s cube shapes. It is shown that all enumerated dice are chiral, and we provide the counts of chiral pairs of dice in the n-dimensional space. During the combinatorial enumeration, it was discovered that two different shapes of dice exist with the same chiral pair count culminating to the novel concept of isochiral polyhedra. The combinatorial problem of dice enumeration is generalized to multi-coloring partitions. Applications to chirality in n-dimension, molecular clusters, zeolites, mesoporous materials, cryptography, and biology are also pointed out. Applications to the nonlinear n-dimensional hypercube and other dicey encryptions are exemplified with romantic, clandestine messages: “I love U” and “V Elope at 2”.","PeriodicalId":501198,"journal":{"name":"Symmetry","volume":"14 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141924999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Effect of Orbital Symmetry on Time–Energy Distributions of F− Ions in the Attoclock Scheme 轨道对称性对 Attoclock 方案中 F 离子时间能量分布的影响

Symmetry Pub Date : 2024-08-09 DOI: 10.3390/sym16081019

Jian-Hong Chen, Song-Feng Zhao

{"title":"Effect of Orbital Symmetry on Time–Energy Distributions of F− Ions in the Attoclock Scheme","authors":"Jian-Hong Chen, Song-Feng Zhao","doi":"10.3390/sym16081019","DOIUrl":"https://doi.org/10.3390/sym16081019","url":null,"abstract":"The mapping relation between the emission angle of the photoelectron and its ionization time (i.e., the angle–time mapping) is important for the attoclock measurement. For a long time, the angle–time mapping was assumed to be angularly uniform. Recent investigations have demonstrated that the angle–time mapping is discontinuous for the low-energy electron at the angle for the minimum yield. However, the previous results were interpreted based on the assumption of s-electron initial states for noble-gas atoms, and the effect of the initial orbital symmetry on the angle–time mapping has been rarely investigated. In this work, we investigate the influence of the initial orbital symmetry on time–energy distribution using F− ions as a specific example. We demonstrate that the initial orbital symmetry significantly impacts the time–energy distribution. This behavior can be well explained by the saddle-point method. More interestingly, it is found that the angle–time mapping is strongly dependent on the initial orbital symmetry in the elliptically polarized laser field, especially for the low-energy electrons. Our work holds great significance for further developing the attoclock scheme.","PeriodicalId":501198,"journal":{"name":"Symmetry","volume":"139 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Utilizing Potential Field Mechanisms and Distributed Learning to Discover Collective Behavior on Complex Social Systems 利用潜在场机制和分布式学习发现复杂社会系统的集体行为

Symmetry Pub Date : 2024-08-08 DOI: 10.3390/sym16081014

Junqiao Zhang, Qiang Qu, X. Chen

{"title":"Utilizing Potential Field Mechanisms and Distributed Learning to Discover Collective Behavior on Complex Social Systems","authors":"Junqiao Zhang, Qiang Qu, X. Chen","doi":"10.3390/sym16081014","DOIUrl":"https://doi.org/10.3390/sym16081014","url":null,"abstract":"This paper proposes the complex dynamics of collective behavior through an interdisciplinary approach that integrates individual cognition with potential fields. Firstly, the interaction between individual cognition and external potential fields in complex social systems is explored, integrating perspectives from physics, cognitive psychology, and social science. Subsequently, a new modeling method for the multidimensional potential field mechanism is proposed, aiming to reduce individual behavioral errors and cognitive dissonance, thereby improving system efficiency and accuracy. The approach uses cooperative control and distributed learning algorithms to simulate collective behavior, allowing individuals to iteratively adapt based on local information and collective intelligence. Simulations highlight the impact of factors such as individual density, noise intensity, communication radius, and negative potential fields on collective dynamics. For instance, in a high-density environment with 180 individuals, increased social friction and competition for resources significantly decrease collective search efficiency. Validation is achieved by comparing simulation results with existing research, showing consistency and improvements over traditional models. In noisy environments, simulations maintain higher accuracy and group cohesion compared to standard methods. Additionally, without communication, the Mean Squared Error (MSE) initially drops rapidly as individuals adapt but stabilizes over time, emphasizing the importance of communication in maintaining collective efficiency. The study concludes that collective behavior emerges from complex nonlinear interactions between individual cognition and potential fields, rather than being merely the sum of individual actions. These insights enhance the understanding of complex system dynamics, providing a foundation for future applications in adaptive urban environments and the design of autonomous robots and AI systems.","PeriodicalId":501198,"journal":{"name":"Symmetry","volume":"14 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141926306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

O4 -Symmetry-Based Non-Perturbative Analytical Calculations of the Effect of the Helical Trajectories of Electrons in Strongly Magnetized Plasmas on the Width of Hydrogen/Deuterium Spectral Lines O4 -基于对称性的非惯性分析计算强磁化等离子体中电子的螺旋轨迹对氢/氘光谱线宽度的影响

Symmetry Pub Date : 2024-08-08 DOI: 10.3390/sym16081009

Eugene Oks

{"title":"O4 -Symmetry-Based Non-Perturbative Analytical Calculations of the Effect of the Helical Trajectories of Electrons in Strongly Magnetized Plasmas on the Width of Hydrogen/Deuterium Spectral Lines","authors":"Eugene Oks","doi":"10.3390/sym16081009","DOIUrl":"https://doi.org/10.3390/sym16081009","url":null,"abstract":"The effects of the helical trajectories of the perturbing electrons in magnetized plasmas on the dynamical Stark width of hydrogen or deuterium spectral lines have been studied analytically in our previous two papers—specifically in the situation where the magnetic field B is so strong that the dynamical Stark width of these lines reduces to the so-called adiabatic Stark width because the so-called nonadiabatic Stark width is completely suppressed. This situation corresponds, for example, to DA and DBA white dwarfs. We obtained those analytical results by using the formalism of the so-called conventional (or standard) theory of the impact Stark broadening: namely, by performing calculations in the second order of the Dyson perturbation expansion. The primary outcome was that the dynamical Stark broadening was found to not depend on the magnetic field B (for sufficiently strong B). In the present paper, we use the O4 symmetry of hydrogen atoms for performing the corresponding non-perturbative analytical calculations equivalent to accounting for all orders of the Dyson perturbation expansion. The results, obtained by using the O4 symmetry of hydrogen atoms, differ from our previous ones not only quantitatively, but—most importantly—qualitatively. Namely, the dynamical Stark broadening does depend on the magnetic field B, even for strong B. These results should be important for revising the interpretation of the hydrogen Balmer lines observed in DA and DBA white dwarfs. We also address confusion in the literature on this subject.","PeriodicalId":501198,"journal":{"name":"Symmetry","volume":"28 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141928426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0