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61 articles for “Symmetric”
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Quantum-Fuzzy Tensor Operators and Uncertainty-Band Bifurcation for Symmetry-Preserving State Discrimination
Abstract: A tensor-operator framework is developed for fuzzy conjunction, fuzzy disjunction, and symmetry-preserving state discrimination in multi-qubit quantum systems. In this formulation, fuzzy membership and non-membership degrees are represented through expectations of effect operators acting on density matrices, providing a natural bridge between fuzzy logic and quantum measurement theory. Conjunction and disjunction operations are extended to the quantum domain via tensorised channels, constructed using projective measurements and unitary transformations, enabling logical …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 08–15 Read article
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Quantum-Fuzzy Tensor Operators for Multi-Qubit Conjunction, Disjunction, and Symmetry-Preserving State Discrimination
Abstract: The integration of fuzzy logic and quantum information theory raises a fundamental mathematical question: how can degrees of truth be encoded in multi-qubit amplitudes while preserving the unitary dynamics and symmetry structure of quantum state spaces? This paper develops a tensor-operator framework for implementing quantum-fuzzy logical operations on finite qubit registers. Fuzzy truth values are represented by normalized quantum amplitude pairs, enabling logical information to be embedded directly into quantum …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 16–21 Read article
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Group-Theoretic Symmetry Indices for Modular Building Layouts under Seismic Load Redistribution
Abstract: Symmetry in modular buildings operates simultaneously as an architectural language, a structural regularizer, and a computational design variable. This paper develops a group-theoretic framework for evaluating and optimizing plan symmetry in modular buildings subjected to seismic load redistribution. The building layout is modeled as a finite occupancy–stiffness field defined on a rectangular lattice, where each module encodes both mass and stiffness contributions. Planar reflections and quarter-turn rotations are represented as …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 01–07 Read article
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Representation-Theoretic Symmetry Reduction and Fuzzy-Grey Optimization of Modular Vibration Systems
Abstract: This paper presents a representation-theoretic framework for symmetry-aware vibration control in modular structural systems. Exploiting cyclic symmetry, the mass, damping, and stiffness operators are block-diagonalised into irreducible representations, reducing the full structural dynamics to a collection of lower-dimensional modal subsystems. This decomposition provides both computational efficiency and a rigorous mathematical description of symmetry-preserving dynamic behaviour. To account for imperfections arising in practical implementations, near-symmetry defects in stiffness and damping are …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 22–30 Read article
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Emerging Trends in Interdisciplinary Perspectives and Future Frontiers in Modern Symmetry
Abstract: Symmetry, long recognized as a cornerstone of the natural sciences, has increasingly found relevance across a variety of disciplines, from physics and mathematics to economics, architecture, and systems theory. This interdisciplinary review explores the expanding role of symmetry as a conceptual and analytical tool, highlighting its applications in diverse fields. In classical and quantum physics, symmetry principles form the foundation for conservation laws, particle interactions, and field equations. In economics …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 26–30 Read article
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The Role of Symmetry in Topological Insulators and Superconductors
Abstract: Topological insulators and superconductors constitute a class of quantum materials characterized by insulating bulks and symmetry-protected conducting boundaries. Symmetry principles, notably time-reversal (TRS), particle-hole (PHS), and chiral symmetry, play a fundamental role in determining the topological phases and their classification within the Altland-Zirnbauer scheme. TRS protects gapless surface states in topological insulators, while PHS stabilizes Majorana modes in topological superconductors. Symmetry-protected topology extends this framework by considering partial symmetry breaking, …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 01–05 Read article
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Research Paper A Review of Symmetry in Mechanical Systems: Theoretical Systems Foundations and Engineering Applications
Abstract: In mechanical system analysis and design, symmetry is of mechanical systems. This article examines the idea of symmetry in mechanical systems, exploring its mathematical foundations (such as Lie algebras and group theory) and how these ideas help explain the behavior, stability, and control of the system. We explore the applications of symmetry in a range of mechanical systems, from basic mechanical connections to intricate multi-body dynamics, emphasizing the benefits of …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 15–19 Read article
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Entropy, Symmetry, and Data Fusion: Emerging Methods in Multi-Objective Decision- Making and Smart Systems
Abstract: In the era of intelligent technologies and data-driven systems, multi-objective decision-making (MODM) has become an essential aspect of managing complex environments such as smart cities, autonomous systems, and cyber-physical networks. As decision-making scenarios become increasingly dynamic and uncertain, there is a growing need for advanced methodologies that can handle diverse objectives, conflicting constraints, and incomplete information. This review highlights the emerging role of entropy, symmetry, and data fusion as foundational …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 44–49 Read article
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Symmetry Breaking in Mathematical Models: Bifurcation, Chaos, and Pattern Formation
Abstract: Symmetry breaking serves as a central organizing principle in the understanding of nonlinear systems across physics, biology, chemistry, and engineering. When a system transitions from a symmetric state to an asymmetric configuration, it often signals the onset of new structures, dynamic behaviors, or even chaotic regimes. This review explores symmetry breaking from the theoretical and mathematical perspectives of bifurcation theory, chaos theory, and pattern formation. We discuss how small parameter …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 25–30 Read article
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A Novel Symmetric Anchor Scoring (SAS) Method for Industrial Location Selection: Application to Electric Vehicle Manufacturing in Tamil Nadu, India
Abstract: This work highlights the city-level detail of decision-making enabled by a new MCDM method Symmetry Anchor Scoring (SAS). Generally conventional methods are good at selecting one best and one worst alternative, but not differentiating among the many strong contenders more likely in practice. Linking MCDM methods to the tradition of decision making, the paper discusses the mathematics and analogical basis of SAS design, provides a visual proof of its ideal …
Published in International Journal of Industrial and Product Design Engineering · Vol. 4, Issue 1, 2026 · pp. 8–19 Read article
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Comparative Study of Symmetric and Asymmetric Oxide Double Gate Junction less FET
Abstract: we carry out the performance of symmetric oxide (HfO2+HfO2) and asymmetric oxide (SiO2+HfO2) n-type junction less field-effect transistor (JLFET) based on two- dimensional Poisson equation. This study is accomplished by simulating a symmetric and asymmetric double gate JLFET on Sentaurus, Technology Computer Aided Design (TCAD) simulator for Silicon (Si) material at room temperature and varying temperature in between 300-360 k. Based on device simulation we find that the asymmetric oxide …
Published in Journal of Semiconductor Devices and Circuits Read article
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Comparative Study of Drain Current of Symmetric and Asymmetric DG-MOSFET with Simulation in Silvaco TCAD Software
Abstract: One of the most attractive and promising devices for the nanoscale devices is the double gate MOSFET. The double gate MOSFET can control the Si channel very efficiently and it chooses a very small width of the Si channel. It controls the Si channel by applying gate contact to either side of the channel. The idea of controlling the S channel in such a way reduces the short channel effects …
Published in Journal of Semiconductor Devices and Circuits Read article
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Algebraic Foundations of AES (Advanced Encryption Standard): Group Theory and Finite Field Applications in Symmetric Cryptography
Abstract: This paper presents a mathematical study of symmetric cryptographic algorithms, with a particular emphasis on the Advanced Encryption Standard (AES), which is one of the most widely used encryption schemes in modern security applications. The study highlights how abstract mathematical frameworks such as group theory, finite fields, and vector space concepts provide the foundation for the design, implementation, and analysis of AES. By approaching the algorithm from a mathematical perspective, …
Published in Recent Trends in Mathematics · Vol. 2, Issue 1, 2025 · pp. 12–16 Read article
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Symmetry Principles in Digital Twin Systems: Modeling, Integration, and Applications
Abstract: This systematic review comprehensively examines the burgeoning field of Digital Twin (DT) technology, analyzing its current state, diverse applications, and future trajectory. Through a rigorous methodology involving a systematic search of academic databases and relevant industry literature, this review synthesizes findings across a spectrum of disciplines. We identify the core components and underlying principles of DTs, distinguishing them from traditional simulation models by their dynamic, realtime data integration and bi-directional …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 06–24 Read article
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Biophysical Properties and Spin Transport in Hemoglobin, Heme Along the Easy Magnetic Fe-N Symmetric Axis
Abstract: Many physical processes that take place in human and animal hemoglobin are associated with a transport of minerals, air, charge carriers, ions, and spin. They are greatly influenced by external electric and magnetic fields, the concentration of mineral intake, pH value, thermal conditions, and the structure of hemoglobin. In this research, emphasis is given to spin transport in hemoglobin, where a weak spin transport is noticed. In order to clarify …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 3, 2025 · pp. 45–62 Read article
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Development of a Novel Analytical Framework for Investigating Non-Symmetric Deformation Behavior in Strip Rolling
Abstract: In recent years, the asymmetrical rolling process has attracted considerable research attention due to its ability to induce non-uniform deformation characteristics within metallic workpieces. In this context, the present study introduces a novel analytical framework for asymmetrical cold rolling based on an enhanced slab method, specifically designed to overcome the inherent limitations of existing analytical models when applied to a wide range of asymmetric rolling conditions. A newly developed mathematical …
Published in Journal of Experimental & Applied Mechanics · Vol. 17, Issue 1, 2026 · pp. 1–21 Read article
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Hydrodynamic Analysis of Symmetrical Naca Airfoils: A CFD Simulation Approach
Abstract: This study presents a comprehensive numerical investigation of the hydrodynamic characteristics of selected NACA airfoil profiles using advanced computational fluid dynamics (CFD) simulations performed in ANSYS Fluent. The primary objective is to evaluate the fluid–structure interaction behavior of these airfoils when subjected to marine flow conditions relevant to offshore and submerged engineering applications. By modeling the interaction between incompressible fluid flow and various NACA geometries, the study systematically analyzes key …
Published in Journal of Offshore Structure and Technology · Vol. 13, Issue 1, 2026 · pp. 31–38 Read article
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Effect of Sinusoidal and Inverse sinusoidal Load on the Vibration and Buckling Behaviour of Laminated Composite Symmetrical and Unsymmetrical Trapezoidal Panels
Abstract: Using finite element (FE) techniques, this work analyzes the influence of sinusoidal and invers sinusoidal stresses on the buckling behavior of trapezoidal laminated composite panels (also known as trapezoidal laminated composite panels). The discretization of the composite panel is accomplished by the use of an eight-noded iso-parametric plate element, which has five degrees of freedom for each node. Due to the incorporation of Higher Order Shear Deformation Theory (HOSDT) into …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 Read article
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Effect Of Sinusoidal and Inverse Sinusoidal Load on The Vibration and Buckling Behaviour of Laminated Composite Symmetrical and Unsymmetrical Trapezoidal Panels
Abstract: Using finite element (FE) techniques, this work analyzes the influence of sinusoidal and inverse sinusoidal stresses on the buckling behavior of trapezoidal laminated composite panels (also known as trapezoidal laminated composite panels). The discretization of the composite panel is accomplished by the use of an eight-noded iso-parametric plate element, which has five degrees of freedom for each node. Due to the incorporation of Higher Order Shear Deformation Theory (HOSDT) into …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 72–84 Read article
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Cubic B-splines for Isogeometric Analysis of Laminated Composite Plates Subjected to Hygroscopic Loading Using Classical Laminated Plate Theory
Abstract: Composite laminates are inevitably used in several engineering structures due to their high strength and stiffness to weight ratio. The laminates are subjected to change in moisture content and the flexural behavior leads to change in the strength. Presence of moisutre may induce residual stresses and strains. Isogeometric analysis is a well-proven method to perform analysis of laminated composite plates. The main focus of this study is to apply isogeometric …
Published in Journal of Polymer & Composites Read article