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Journal articles on the topic 'Symmetry key'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

Elliott, J. P. "Key to symmetry." Nature 313, no. 6001 (1985): 409. http://dx.doi.org/10.1038/313409b0.

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Skinner, Mhairi. "Symmetry is key." Nature Reviews Cancer 9, no. 11 (2009): 769. http://dx.doi.org/10.1038/nrc2757.

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Li, Chunbiao, Jiayu Sun, Tianai Lu, and Tengfei Lei. "Symmetry Evolution in Chaotic System." Symmetry 12, no. 4 (2020): 574. http://dx.doi.org/10.3390/sym12040574.

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A comprehensive exploration of symmetry and conditional symmetry is made from the evolution of symmetry. Unlike other chaotic systems of conditional symmetry, in this work it is derived from the symmetric diffusionless Lorenz system. Transformation from symmetry and asymmetry to conditional symmetry is examined by constant planting and dimension growth, which proves that the offset boosting of some necessary variables is the key factor for reestablishing polarity balance in a dynamical system.

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Zhang, Hongjia, Junwen Huang, Xin Xu, Qiang Fang, and Yifei Shi. "Symmetry-Aware 6D Object Pose Estimation via Multitask Learning." Complexity 2020 (October 21, 2020): 1–7. http://dx.doi.org/10.1155/2020/8820500.

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Although 6D object pose estimation has been intensively explored in the past decades, the performance is still not fully satisfactory, especially when it comes to symmetric objects. In this paper, we study the problem of 6D object pose estimation by leveraging the information of object symmetry. To this end, a network is proposed that predicts 6D object pose and object reflectional symmetry as well as the key points simultaneously via a multitask learning scheme. Consequently, the pose estimation is aware of and regulated by the symmetry axis and the key points of the to-be-estimated objects.

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Senjanović, Goran. "Is left–right symmetry the key?" Modern Physics Letters A 32, no. 04 (2017): 1730004. http://dx.doi.org/10.1142/s021773231730004x.

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In collaboration with Jogesh Pati, Abdus Salam challenged the chiral gauge nature of the Standard Model by paving the road towards the left-right symmetric electro-weak theory. I describe here the logical and historical construction of this theory, by emphasising the pioneering and key role it played for neutrino mass. I show that it is a self-contained and predictive model with the Higgs origin of Majorana neutrino mass, in complete analogy with the SM situation regarding charged fermions.

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Mandal, Satyendra Nath, Subhankar Dutta, and Ritam Sarkar. "Block Based Symmetry Key Visual Cryptography." International Journal of Computer Network and Information Security 4, no. 9 (2012): 10–19. http://dx.doi.org/10.5815/ijcnis.2012.09.02.

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PIRANDOLA, STEFANO. "SYMMETRIC COLLECTIVE ATTACKS FOR THE EAVESDROPPING OF SYMMETRIC QUANTUM KEY DISTRIBUTION." International Journal of Quantum Information 06, supp01 (2008): 765–71. http://dx.doi.org/10.1142/s0219749908004080.

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We consider the collective eavesdropping of the BB84 and six-state protocols. Since these protocols are symmetric in the eigenstates of conjugate bases, we consider collective attacks having the same kind of symmetry. We then show how these symmetric collective attacks are sufficiently strong in order to minimize the Devetak–Winter rates. In fact, it is quite easy to construct simple examples able to reach the unconditionally secure key rates of these protocols.

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Sievers, Silvan, Martin Wehrle, Malte Helmert, and Michael Katz. "Strengthening Canonical Pattern Databases with Structural Symmetries." Proceedings of the International Symposium on Combinatorial Search 8, no. 1 (2021): 91–99. http://dx.doi.org/10.1609/socs.v8i1.18429.

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Symmetry-based state space pruning techniques have proved to greatly improve heuristic search based classical planners. Similarly, abstraction heuristics in general and pattern databases in particular are key ingredients of such planners. However, only little work has dealt with how the abstraction heuristics behave under symmetries. In this work, we investigate the symmetry properties of the popular canonical pattern databases heuristic. Exploiting structural symmetries, we strengthen the canonical pattern databases by adding symmetric pattern databases, making the resulting heuristic invaria

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Li, Weijun, Guoliang Yang, Zhangyou Xiong, Xiaojuan Zhu, and Xinyu Ma. "A Traffic Flow Prediction Model Based on Dynamic Graph Convolution and Adaptive Spatial Feature Extraction." Symmetry 17, no. 7 (2025): 1007. https://doi.org/10.3390/sym17071007.

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The inherent symmetry in traffic flow patterns plays a fundamental role in urban transportation systems. This study proposes a Dynamic Graph Convolutional Recurrent Adaptive Network (DGCRAN) for traffic flow prediction, leveraging symmetry principles in spatial–temporal dependencies. Unlike conventional models relying on static graph structures that often break real-world symmetry relationships, our approach introduces two key innovations respecting the dynamic symmetry of traffic networks: First, a Dynamic Graph Convolutional Recurrent Network (DGCRN) is proposed that preserves and adapts to

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10

Zheng Mingliang. "Disturbance Decoupling for a Class of Nonlinear Control Systems Based on Lie Symmetry Method." Journal of Electrical Systems 20, no. 3 (2024): 3650–61. https://doi.org/10.52783/jes.5252.

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To fully explore the inherent structural properties of symmetric nonlinear control systems, this paper introduces the Lie symmetry method to the disturbance decoupling problem for a class of SISO nonlinear control systems. Firstly, the state-space equations and the disturbance decoupling model for a class of SISO nonlinear control systems are defined; Secondly, the key technologies and algorithm approaches of Lie symmetry theory for differential equations are introduced, and the conditions and the properties of Lie symmetry for nonlinear control systems under group action are given in detail;

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ZACHER, M. G., A. DORNEICH, R. EDER, W. HANKE, and S. C. ZHANG. "SO(5) SYMMETRY AND SINGLE PARTICLE SPECTRA." International Journal of Modern Physics B 13, no. 24n25 (1999): 3039–47. http://dx.doi.org/10.1142/s0217979299002848.

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We discuss properties of a recently proposed SO(5) symmetric ladder model. Key features of the single particle spectral function that are emerging from the symmetry are numerically identified in the ladder model and in the photoemission spectrum of the two-dimensional t–J model.

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12

Chen, Xingyu, and Monan Wang. "WaveAtten: A Symmetry-Aware Sparse-Attention Framework for Non-Stationary Vibration Signal Processing." Symmetry 17, no. 7 (2025): 1078. https://doi.org/10.3390/sym17071078.

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This study addresses the long-standing difficulty of predicting the remaining useful life (RUL) of rolling bearings from highly non-stationary vibration signals by proposing WaveAtten, a symmetry-aware deep learning framework. First, mirror-symmetric and bi-orthogonal Daubechies wavelet filters are applied to decompose each raw signal into multi-scale approximation/detail pairs, explicitly preserving the left–right symmetry that characterizes periodic mechanical responses while isolating asymmetric transient faults. Next, a bidirectional sparse-attention module reinforces this structural symme

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Nalepka, K. "Material symmetry: a key to specification of interatomic potentials." Bulletin of the Polish Academy of Sciences: Technical Sciences 61, no. 2 (2013): 441–50. http://dx.doi.org/10.2478/bpasts-2013-0043.

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Abstract The paper shows that symmetry forms a basis for relations between different properties of material. In this way, the key quantities for specification of an atomistic model are identified. Material symmetry distinguishes representative processes of small strains. It is proved that the errors in the densities of the energies stored in these processes determine the range of inaccuracies with which an atomistic model recreates processes of small deformations. The errors are equal to the inaccuracies in the eigenvalues of the elasticity tensor, that is in the Kelvin moduli. For cubic cryst

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Ibrahim, Ibrahim Sulaiman, Ji-Huan He, Nejmeddine Chorfi, Majeed Ahmad Yousif, Pshtiwan Othman Mohammed, and Miguel Vivas-Cortez. "Exploring a Novel Approach to Deferred Nörlund Statistical Convergence." Symmetry 17, no. 2 (2025): 192. https://doi.org/10.3390/sym17020192.

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This study introduces novel concepts of convergence and summability for numerical sequences, grounded in the newly formulated deferred Nörlund density, and explores their intrinsic connections to symmetry in mathematical structures. By leveraging symmetry principles inherent in sequence behavior and employing two distinct modulus functions under varying conditions, profound links between sequence convergence and summability are established. The study further incorporates lacunary refinements, enhancing the understanding of Nörlund statistical convergence and its symmetric properties. Key theor

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Ben, Cheng, Zhen Xing Li, Dan Feng Xu, and Lin Juan Wu. "Analysis of Key Factors Affecting Double-Circuit Transmission Lines Parameters and Transposition Schemes." Advanced Materials Research 986-987 (July 2014): 223–26. http://dx.doi.org/10.4028/www.scientific.net/amr.986-987.223.

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Double-circuit transmission lines parameters symmetry would affect the normal operation of the transmission lines and relay protection actions directly. This paper analyzes the impacts of three different phase sequence arrangements on parameters symmetry of conventional un-transposed double-circuit lines, and requirements can be met by the parameters symmetry for double-circuit transmission lines with different types and different length. Took practical engineering requirements into consideration, a simple and admissible suggestion on phase sequence arrangements and the transposition modes is

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James, David A., and Alice V. James. "Symmetry in European Regional Folk Dress: A Multidisciplinary Analysis." Leonardo 53, no. 2 (2020): 157–66. http://dx.doi.org/10.1162/leon_a_01609.

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Designs on folk dress form an expression of artistic import within a culture. A 2017 ethnomathematics paper to which the authors contributed concludes that the designs on European regional folk dress are highly symmetric and analyzes the symmetry in the costume designs of 73 European cultures. Also examined are which symmetries are favored by, for instance, Catholic cultures or mountain cultures. In this article, two of the study's coauthors summarize its key points and go on to explore the neurophysiologic, aesthetic and ethnographic reasons why humans display symmetry on their regional dress

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Muñoz, Daniel, and Nathaniel Baron-Schmitt. "Wronging Oneself." Journal of Philosophy 121, no. 4 (2024): 181–207. http://dx.doi.org/10.5840/jphil2024121416.

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When, if ever, do we wrong ourselves? The Self-Other Symmetric answer is: when we do to ourselves what would wrong a consenting other. The standard objection, which has gone unchallenged for decades, is that Symmetry seems to imply that we wrong ourselves in too many cases—where rights are unwaivable, or “self-consent” is lacking. I argue that Symmetry not only survives these would-be counterexamples; it explains and unifies them. The key to Symmetry is not, as critics have supposed, the bizarre claim that we must literally give ourselves consent if we are to avoid wronging ourselves. Instead,

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Ye, Jun-Ting, Rui Wang, Si-Pei Wang, and Lie-Wen Chen. "High-density Symmetry Energy: A Key to the Solution of the Hyperon Puzzle." Astrophysical Journal 985, no. 2 (2025): 238. https://doi.org/10.3847/1538-4357/add017.

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Abstract The recently developed nuclear effective interaction based on the so-called N3LO Skyrme pseudopotential is extended to include hyperon–nucleon and hyperon–hyperon interactions by assuming similar density, momentum, and isospin dependence as for the nucleon–nucleon interaction. The parameters in these interactions are determined from either experimental information, if any, or chiral effective field theory or lattice quantum chromodynamics calculations of the hyperon potentials in nuclear matter around nuclear saturation density ρ 0. We find that varying the high-density behavior of th

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Sipus, Zvonimir, Katarina Cavar, Marko Bosiljevac, and Eva Rajo-Iglesias. "Glide-Symmetric Holey Structures Applied to Waveguide Technology: Design Considerations." Sensors 20, no. 23 (2020): 6871. http://dx.doi.org/10.3390/s20236871.

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Recently, there has been an increased interest in exploring periodic structures with higher symmetry due to various possibilities of utilizing them in novel electromagnetic applications. The aim of this paper is to discuss design issues related to the implementation of holey glide-symmetric periodic structures in waveguide-based components. In particular, one can implement periodic structures with glide symmetry in one or two directions, which we differentiate as 1D and 2D glide symmetry, respectively. The key differences in the dispersion and bandgap properties of these two realizations are p

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20

Huang, Jing Lian, Zhuo Wang, and Mei Rong He. "Algebraic Immunity, Correlation Immunity and other Cryptographic Properties of Quadratic Rotation Symmetric Boolean Functions." Advanced Materials Research 989-994 (July 2014): 2593–98. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.2593.

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Boolean functions with a variety of secure cipher properties are the key factors to design cryptosystem with the ability to resist multiple cipher attacks and good safety performance. In this paper, using the derivative of the Boolean functions and the e-derivative defined by ourselves as the main research tools, we study algebraic immunity, correlation immunity and other cryptographic properties of the quadratic rotation symmetric Boolean functions. We determine the quadratic rotation symmetric Boolean functions which are H Boolean functions, and the range of weight distribution of the quadra

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21

Garre-Rubio, José, Laurens Lootens, and András Molnár. "Classifying phases protected by matrix product operator symmetries using matrix product states." Quantum 7 (February 21, 2023): 927. http://dx.doi.org/10.22331/q-2023-02-21-927.

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We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a local characterization of how the MPSs, that generate a ground space, remain invariant under a global MPO symmetry. This characterization yields a set of quantities satisfying the coupled pentagon equations, associated with a module category over the fusion category that describes the MPO symmetry. Equivalence classes of these quantities provide complete invariants for an MPO symmetry protected phase: they are robust un

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22

Yan, Hongyu, Zijun Li, Kunming Luo, Li Lu, and Ping Tan. "SymmCompletion: High-Fidelity and High-Consistency Point Cloud Completion with Symmetry Guidance." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 9 (2025): 9094–102. https://doi.org/10.1609/aaai.v39i9.32984.

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Point cloud completion aims to recover a complete point shape from a partial point cloud. Although existing methods can form satisfactory point clouds in global completeness, they often lose the original geometry details and face the problem of geometric inconsistency between existing point clouds and reconstructed missing parts. To tackle this problem, we introduce SymmCompletion, a highly effective completion method based on symmetry guidance. Our method comprises two primary components: a Local Symmetry Transformation Network (LSTNet) and a Symmetry-Guidance Transformer (SGFormer). First, L

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Bor, Winny Chepngetich, Owino M. Oduor, and John K. Rotich. "A Lie Symmetry Solutions of Sawada-Kotera Equation." JOURNAL OF ADVANCES IN MATHEMATICS 17 (July 30, 2019): 1–11. http://dx.doi.org/10.24297/jam.v17i0.8364.

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In this article, the Lie Symmetry Analysis is applied in finding the symmetry solutions of the fifth order Sawada-Kotera equation. The technique is among the most powerful approaches currently used to achieveprecise solutions of the partial differential equations that are nonlinear. We systematically show the procedure to obtain the solution which is achieved by developing infinitesimal transformation, prolongations, infinitesimal generatorsand invariant transformations hence symmetry solutions of the fifth order Sawada-Kotera equation. Key Words- Lie symmetry analysis. Sawada-Kotera equ

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Liu, Ping, and Senyue Lou. "Applications of Symmetries to Nonlinear Partial Differential Equations." Symmetry 16, no. 12 (2024): 1591. http://dx.doi.org/10.3390/sym16121591.

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This review begins with the standard Lie symmetry theory for nonlinear PDEs and explores extensions of symmetry analysis. First, it introduces three key symmetry reduction methods: the classical symmetry method, conditional symmetries, and the CK direct method. Next, it presents two finite symmetry transformation group methods—one related to Lax pairs and one independent of them. The fourth section reviews four nonlocal symmetry methods based on conserved forms, conformal invariants, Darboux transformations, and Lax pairs. The final section covers supersymmetry theory and supersymmetric dark e

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RENNER, RENATO. "SECURITY OF QUANTUM KEY DISTRIBUTION." International Journal of Quantum Information 06, no. 01 (2008): 1–127. http://dx.doi.org/10.1142/s0219749908003256.

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Quantum Information Theory is an area of physics which studies both fundamental and applied issues in quantum mechanics from an information-theoretical viewpoint. The underlying techniques are, however, often restricted to the analysis of systems which satisfy a certain independence condition. For example, it is assumed that an experiment can be repeated independently many times or that a large physical system consists of many virtually independent parts. Unfortunately, such assumptions are not always justified. This is particularly the case for practical applications — e.g. in quantum cryptog

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Lahm, Mitchell E., Preston R. Hoobler, Justin M. Turney, Kirk A. Peterson та Henry F. Schaefer. "The bismuth tetramer Bi4: the ν3 key to experimental observation". Physical Chemistry Chemical Physics 20, № 34 (2018): 21881–89. http://dx.doi.org/10.1039/c8cp03529f.

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The spectroscopic identification of Bi<sub>4</sub> has been very elusive. Two constitutional Bi<sub>4</sub> isomers of T<sub>d</sub> and C<sub>2v</sub> symmetry are investigated and each is found to be a local energetic minimum.

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Evans, Peter W. "The End of a Classical Ontology for Quantum Mechanics?" Entropy 23, no. 1 (2020): 12. http://dx.doi.org/10.3390/e23010012.

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In this paper, I argue that the Shrapnel–Costa no-go theorem undermines the last remaining viability of the view that the fundamental ontology of quantum mechanics is essentially classical: that is, the view that physical reality is underpinned by objectively real, counterfactually definite, uniquely spatiotemporally defined, local, dynamical entities with determinate valued properties, and where typically ‘quantum’ behaviour emerges as a function of our own in-principle ignorance of such entities. Call this view Einstein–Bell realism. One can show that the causally symmetric local hidden vari

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Zhan, Jiawei, Chunxuan Li, Fengping Hou, and Xiaodong Wang. "Research on Dense Object Detection Method Based on Symmetry." Journal of Physics: Conference Series 3004, no. 1 (2025): 012096. https://doi.org/10.1088/1742-6596/3004/1/012096.

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Abstract This article addresses the challenges of occlusion, overlap, and background noise in dense object detection, particularly in symmetric dense object scenarios such as ship detection in harbors. The proposed SSI YOLOv8-OBB model leverages symmetry-based methods to enhance detection accuracy. It integrates self-supervised symmetry into the OBB rotation box to optimize positioning and introduces the SPD-Conv module and SE Module to improve detection efficiency and accuracy. The model’s loss function is optimized using Inner-IoU, which effectively handles bounding box regression. Experimen

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Li, Hongjie, Dandan Wang, and Mingliang Zheng. "Disturbance decoupling for biological fermentation systems with single input single output." Molecular & Cellular Biomechanics 21, no. 4 (2024): 847. https://doi.org/10.62617/mcb847.

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The biological fermentation process has the characteristics of nonlinearity and multivariable coupling. To improve the performance of decoupling control in the fermentation process, a disturbance decoupling control based on the Lie symmetry method is proposed to obtain the analytical feedback control for a class of biological fermentation systems with single input single output (SISO). Firstly, the state-space equations and the disturbance decoupling model for a class of SISO biological fermentation systems are defined; Secondly, the key technologies and algorithm approaches of Lie symmetry th

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Pacurar, Cristina Maria, Razvan Bocu, and Maksim Iavich. "An Analysis of Existing Hash-Based Post-Quantum Signature Schemes." Symmetry 17, no. 6 (2025): 919. https://doi.org/10.3390/sym17060919.

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The rapid development of quantum computing poses challenges to the foundations of traditional cryptography. The threats are significant in terms of both asymmetric cryptography (which exposes schemes like RSA and ECC to efficient attacks) and symmetric cryptography, where key sizes must be increased to mitigate these threats. In this paper, we review the evolution of hash-based digital signatures, from early one-time signatures to modern stateless schemes, with an emphasis on their security properties, efficiency, and practical constraints. Moreover, we propose a simple comparative metric that

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Wang, Yuanqing, Hao Chen, Wei Zhao, and Qixia Zhang. "Decoding the Symmetry of Influence: A Machine Learning Study of Reading Exposure and Social Attitudes Across Social Groups." Symmetry 17, no. 6 (2025): 900. https://doi.org/10.3390/sym17060900.

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The relationship between reading exposure and social attitudes across demographic groups remains a pivotal yet underexplored topic in computational social science. This study adopts a machine learning framework to examine the symmetry of reading’s influence on social attitude formation. Models including Random Forest, XGBoost, LightGBM, and linear regression were employed on data from the 2021 Chinese General Social Survey (CGSS). The results show that reading volume is a key predictor of social attitudes. Moreover, a SHAP-based subgroup analysis revealed that the impact of reading exposure re

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Mai, Manh Trung, Phe Do Le, Trung Tuan Do, Van Tanh Nguyen, and Quang Tri Ngo. "Design a cryptosystem using elliptic curves cryptography and Vigenère symmetry key." International Journal of Electrical and Computer Engineering (IJECE) 13, no. 2 (2023): 1734–43. https://doi.org/10.11591/ijece.v13i2.pp1734-1743.

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In this paper describes the basic idea of elliptic curve cryptography (ECC) as well as Vigenère symmetry key. Elliptic curve arithmetic can be used to develop elliptic curve coding schemes, including key exchange, encryption, and digital signature. The main attraction of elliptic curve cryptography compared to Rivest, Shamir, Adleman (RSA) is that it provides equivalent security for a smaller key size, which reduces processing costs. From the theorical basic, we proposed a cryptosystem using elliptic curves and Vigenère cryptography. We proposed and implemented our encryption alg

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Liu, Yang, Wenli Zou, and Isaac B. Bersuker. "Revisiting symmetry breaking in BNB: The key role of electronic correlation." Chemical Physics Letters 603 (May 2014): 18–20. http://dx.doi.org/10.1016/j.cplett.2014.04.027.

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Trung, Mai Manh, Le Phe Do, Do Trung Tuan, Nguyen Van Tanh, and Ngo Quang Tri. "Design a cryptosystem using elliptic curves cryptography and Vigenère symmetry key." International Journal of Electrical and Computer Engineering (IJECE) 13, no. 2 (2023): 1734. http://dx.doi.org/10.11591/ijece.v13i2.pp1734-1743.

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In this paper describes the basic idea of elliptic curve cryptography (ECC) as well as Vigenère symmetry key. Elliptic curve arithmetic can be used to develop elliptic curve coding schemes, including key exchange, encryption, and digital signature. The main attraction of elliptic curve cryptography compared to Rivest, Shamir, Adleman (RSA) is that it provides equivalent security for a smaller key size, which reduces processing costs. From the theorical basic, we proposed a cryptosystem using elliptic curves and Vigenère cryptography. We proposed and implemented our encryption algorithm in an i

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Byard, Roger W., Aaron Machado, Lucy Woolford, and Wayne Boardman. "Symmetry: the key to diagnosing propeller strike injuries in sea mammals." Forensic Science, Medicine, and Pathology 9, no. 1 (2012): 103–5. http://dx.doi.org/10.1007/s12024-012-9335-0.

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Gaifullin, Alexander Aleksandrovich. "On possible symmetry groups of 27-vertex triangulations of manifolds like the octonionic projective plane." Sbornik: Mathematics 215, no. 7 (2024): 869–910. http://dx.doi.org/10.4213/sm10017e.

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In 1987 Brehm and Kühnel showed that any triangulation of a $d$-manifold (without boundary) that is not homeomorphic to a sphere has at least $3d/2+3$ vertices. Moreover, triangulations with exactly $3d/2+3$ vertices can exist only for ‘manifolds like projective planes’, which can have dimension $2$, $4$, $8$ or $16$ only. There is a $6$-vertex triangulation of the real projective plane $\mathbb{RP}^2$, a $9$-vertex triangulation of the complex projective plane $\mathbb{CP}^2$ and $15$-vertex triangulations of the quaternionic projective plane $\mathbb{HP}^2$. Recently the author constructed

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Seidel, Judith Day. "Tech Time: Symmetry in Season." Teaching Children Mathematics 4, no. 5 (1998): 244–49. http://dx.doi.org/10.5951/tcm.4.5.0244.

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As large, white snowflakes fall outside and stick to the window of the computer room, the fifth-grade mathematics class does not jump up to watch the storm. The reflections and rotations that enliven their computer screens are just as fascinating. During the winter term at the Brearley School, fifth graders use The Geometer's Sketchpad (Key Curriculum Press 1995) and a growing understanding of symmetry and angles to construct their own snowflakes.

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Ananta Patnaikuni Mythri, Pondreti Pushpalatha,. "VLSI Implementation of 3-Parallel FIR Filters through Coefficient Symmetry Property and Fast FIR Algorithm." Tuijin Jishu/Journal of Propulsion Technology 44, no. 4 (2023): 966–77. http://dx.doi.org/10.52783/tjjpt.v44.i4.952.

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In multirate digital signal processing systems, polyphase filters are frequently used. The challenges in multirate digital signal processing systems primarily relate to efficiently processing signals at different rates while maintaining high-quality output. These challenges include computational complexity, power consumption, and signal delay. The coefficient symmetry property plays a key role in systematically arranging of filter taps in symmetric manner to improve operating efficiency. With a major focus on using the coefficient symmetry characteristic, this paper addresses the VLSI implemen

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Kralj, Samo, and Robert Repnik. "PATTERNS IN SYMMETRY BREAKING TRANSITIONS." Problems of Education in the 21st Century 46, no. 1 (2012): 74–84. http://dx.doi.org/10.33225/pec/12.46.74.

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It is now well accepted that we all have amazing capabilities in recognizing faces in a fraction of a second. This specific pattern recognition ability could be by appropriate training transferred to some other field of expertise. At the same time pattern recognition skills are becoming increasingly important “survival” strategy in the modern competitive world which faces information overload. In the paper we demonstrate an example of pattern-recognition type of lecturing modern physics. By using already absorbed knowledge and analogies we exploit our innate pattern recognition brain capabilit

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Chen, Weiming, Zijie Jiang, Hailin Guo, and Xiaoyang Ni. "Fall Detection Based on Key Points of Human-Skeleton Using OpenPose." Symmetry 12, no. 5 (2020): 744. http://dx.doi.org/10.3390/sym12050744.

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According to statistics, falls are the primary cause of injury or death for the elderly over 65 years old. About 30% of the elderly over 65 years old fall every year. Along with the increase in the elderly fall accidents each year, it is urgent to find a fast and effective fall detection method to help the elderly fall.The reason for falling is that the center of gravity of the human body is not stable or symmetry breaking, and the body cannot keep balance. To solve the above problem, in this paper, we propose an approach for reorganization of accidental falls based on the symmetry principle.

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AOYAMA, S. "THE CLASSICAL EXCHANGE ALGEBRA OF THE 2D EFFECTIVE (2, 0) SUPERGRAVITY IN THE GEOMETRICAL FORMULATION." Modern Physics Letters A 06, no. 22 (1991): 2069–78. http://dx.doi.org/10.1142/s0217732391002244.

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We will show the classical exchange algebra of the 2D effective (2, 0) supergravity in the geometrical formulation. The key point for the demonstration will be that in this formulation the action has N = 2 superconformal symmetry in the supersymmetric sector, and local N = 2 graded SL (2, ℝ) symmetry non-supersymmetric sector.

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Harada, Masayasu. "Vector Manifestation and the Hidden Local Symmetry." International Journal of Modern Physics A 21, no. 04 (2006): 946–49. http://dx.doi.org/10.1142/s0217751x06032381.

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In this write-up, I summarize the key ingredients of the vector manifestaion formulated in the hidden local symmetry theory, in which the ρ meson becomes massless degenerated with the pion at the chiral phase transition point.

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Benzaquen, Michael, Mark Ilton, Michael V. Massa, et al. "Symmetry plays a key role in the erasing of patterned surface features." Applied Physics Letters 107, no. 5 (2015): 053103. http://dx.doi.org/10.1063/1.4927599.

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Nguyen, Lam T. "Constrictive Force as the Key Symmetry-Breaking Factor for Bacterial Cell Division." Biophysical Journal 116, no. 3 (2019): 545a. http://dx.doi.org/10.1016/j.bpj.2018.11.2928.

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Bailey, Quentin G. "Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory." Symmetry 13, no. 5 (2021): 834. http://dx.doi.org/10.3390/sym13050834.

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We examined the basic conservation laws for diffeomorphism symmetry in the context of spontaneous diffeomorphism and local Lorentz-symmetry breaking. The conservation laws were used as constraints on a generic series of terms in an expansion around a flat background. We found all such terms for a two-tensor coupling to cubic order in the metric and tensor field fluctuations. The results are presented in a form that can be used for phenomenological calculations. One key result is that if we preserve the underlying diffeomorphism symmetry in a spontaneous-symmetry breaking scenario, one cannot d

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Grimm, Uwe. "Highly symmetric aperiodic structures -INVITED." EPJ Web of Conferences 255 (2021): 09001. http://dx.doi.org/10.1051/epjconf/202125509001.

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The symmetries of periodic structures are severely constrained by the crystallographic restriction. In particular, in two and three spatial dimensions, only rotational axes of order 1, 2, 3, 4 or 6 are possible. Aperiodic tilings can provide perfectly ordered structures with arbitrary symmetry properties. Random tilings can retain part of the aperiodic order as well the rotational symmetry. They offer a more flexible approach to obtain homogeneous structures with high rotational symmetry, and might be of particular interest for applications. Some key examples and their diffraction are discusse

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Howard, Ian S., James N. Ingram, Konrad P. Körding, and Daniel M. Wolpert. "Statistics of Natural Movements Are Reflected in Motor Errors." Journal of Neurophysiology 102, no. 3 (2009): 1902–10. http://dx.doi.org/10.1152/jn.00013.2009.

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Humans use their arms to engage in a wide variety of motor tasks during everyday life. However, little is known about the statistics of these natural arm movements. Studies of the sensory system have shown that the statistics of sensory inputs are key to determining sensory processing. We hypothesized that the statistics of natural everyday movements may, in a similar way, influence motor performance as measured in laboratory-based tasks. We developed a portable motion-tracking system that could be worn by subjects as they went about their daily routine outside of a laboratory setting. We foun

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Del Bene, Janet E., Kyungsun Kim, and Isaiah Shavitt. "An ab initio study of symmetry breaking in calculations on the first excited singlet state of N2H2." Canadian Journal of Chemistry 69, no. 2 (1991): 246–50. http://dx.doi.org/10.1139/v91-039.

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Calculation of the vertically excited singlet n → π* state of trans-N2H2 carried out in Cs symmetry at the RHF and RHF-CISD levels results in a broken symmetry solution in which the wave function does not reflect the C2h symmetry of the molecular framework. The excited state RHF energy computed in Cs symmetry is lower than the corresponding energy computed in C2h symmetry, but the single-reference CISD energy based on the Cs RHF configuration is higher than the corresponding C2h result. The symmetry breaking leads to difficulties in the description of the excited state potential energy surface

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Cunningham, Brendan M., and Peter Alexander. "From Switches to Packets: The New World of Interconnection." Journal of Information Policy 2, no. 1 (2012): 273–86. http://dx.doi.org/10.5325/jinfopoli.2.2012.273.

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Abstract As the telecommunications market transitions from POTS to VoIP, interconnection plays a key role. How will migration from a termination regime to a peering regime impact carriers and subscribers? Cunningham and Alexander model the potential results under conditions of both traffic symmetry and asymmetry. Competition for subscribers, they find, is the key factor in holding interconnection costs down, although possibly increasing prices for subscribers. Under symmetry, this may ultimately increase firms' profits. Under asymmetry, some firms will lose profits. The consequences of this ma

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Farrukh Mahmood, Hina Sharif, and Mahmood Ali. "Rule Similarity and Axis Symmetry Patterns in Young Patients with Bilateral Astigmatism." Journal of the Pakistan Medical Association 72, no. 01 (2022): 42–46. http://dx.doi.org/10.47391/jpma.20-748.

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Objectives: To report rule similarity and axis symmetry patterns in young subjects with bilateral astigmatism. Methods: The cross-sectional study was conducted at Al-Shifa Trust Eye Hospital, Rawalpindi, Pakistan, from October 1, 2018, to March 31, 2019, and comprised diagnosed cases of bilateral astigmatism of either gender aged 15-45 years. After giving detailed ophthalmic history, all the participants underwent autorefraction followed by subjective refraction. Based on refractive status, rule similarity was categorised as isorule or anisorule, while axis symmetry was categorised as direct o

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