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61 articles for “Symmetric”
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Comprehensive study of Entanglement Entropy in Quantum Field Theory: Analysis of Conformal Field Theory to Massive Field Extensions and Holographic Entanglement
Abstract: This paper provides an in-depth analysis of entanglement entropy (EE) in quantum field theory (QFT), with a particular focus on its computation using the replica trick and its applications to both conformal and non-conformal systems. Beginning with an introduction to the basics of QFT, the study explains how entanglement entropy quantifies the quantum correlations between subsystems in a pure state, represented by the von Neumann entropy of the reduced density …
Published in Research & Reviews : Journal of Physics · Vol. 13, Issue 3, 2024 · pp. 33–58 Read article
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Nano Positioning for Large Scanning Range for XY Mechanism
Abstract: In this study, an XY flexure stage that provides a variety of motion options while reducing incorrect motions is designed and assessed. In the flexure design, the double parallelogram flexure modules are positioned methodically and symmetrically. The performance of the flexure stage is assessed using finite element analysis, and experimental testing is performed to validate the findings. The built-in prototype of the flexure stage has dimensions of 350 mm x …
Published in Journal of Microelectronics and Solid State Devices · Vol. 12, Issue 1, 2025 · pp. 30–35 Read article
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Kinematic Relations of Particle Motion using Polar Cylindrical Coordinates System: Applications in Robotics and AI
Abstract: This paper explores the motion of a particle in space using the cylindrical polar coordinate system. It presents the physics of particle motion by defining spatial positions in three-dimensional polar coordinates and examining the particle’s kinematics—namely its position, velocity, and acceleration—in vector form. These quantities are mathematically expressed as functions of time, accounting for the changing coordinates in radial, angular, and vertical directions. This coordinate system proves especially useful for …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 1, 2025 · pp. 12–16 Read article
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Use of NMR and Other Spectroscopy Techniques in Heterocyclic Oxadiazole Derivatives Studies: A Review
Abstract: It was possible to create a number of novel symmetrical 2,5-dialkyl-1,3,4-oxadiazoles with substituents including carboxymethylamino, isopropyloxycarbonylmethylamino, and bromine at the terminal positions of the alkyl groups. The multistep process that was devised used hydrazine hydrate, phosphorus oxychloride, and commercially available acid chlorides that varied in alkyl chain length and terminal substituent.Diisopropyliminodiacetate was an easy way to substitute the intermediate bromine-containing 2,5-dialkyl-1,3,4-oxadiazoles. This was followed by hydrolysis in an aqueous methanol …
Published in International Journal of Photochemistry and Photochemical Research · Vol. 2, Issue 1, 2024 · pp. 07–13 Read article
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Study of Algebraic Structures in Discrete Mathematics and Its Applications
Abstract: Algebraic structures such as groups, rings, fields, semi groups, and lattices form the foundational framework of discrete mathematics. These structures are defined by specific sets and operations that follow algebraic laws, enabling a systematic approach to problem-solving in various domains. This paper explores the theoretical principles of these algebraic systems and highlights their vital role in computer science, cryptography, automata theory, coding theory, and software engineering. By examining their properties …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 35–40 Read article
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Engineered Polymer Composites for Non-Surgical Lip Posture Correction in Facial Paralysis
Abstract: Facial paralysis presents significant functional and aesthetic challenges, particularly through lip posture deficits such as drooping and drooling, often inadequately addressed by traditional surgical or drug-based interventions, especially in debilitated patients. This study explores the application of engineered polymer composites in a novel, non-surgical lip posture corrector designed to statically suspend and correct lip position without requiring surgical or dental support. The device utilizes a precisely formulated blend of polymethylmethacrylate …
Published in Journal of Polymer & Composites · Vol. 13, Issue 5, 2025 Read article
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Analytical Technique Optimization and ICH-Directed Verification of a Reverse Phase HPLC Approach for Quantification of Bupropion Hydrochloride
Abstract: This method was developed for retention time, peak resolution and baseline response using Bupropion Hydrochloride under optimized conditions as validation. The method resulted in two well separated, well defined peaks, a minor peak at 7.5 minutes 12 mV and a main peak at 11.52 minutes 150 mV. At the same time, the baseline has remained stable during the chromatographic run and the fluctuations of noise are very small (0.5 ± …
Published in Research & Reviews: A Journal of Drug Formulation, Development and Production · Vol. 12, Issue 2, 2025 · pp. 47–54 Read article
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Computational Study of Sombor Index on Generalized Abid–Waheed Graphs for Polymer Modeling
Abstract: This study investigates the topological properties of generalized Abid Waheed graphs. Development of theoretical models in chemistry, reducing computational complexity while analysing large molecules or networks Abid Waheed graphs play a significant role. Motivated by these findings, the research was extended to encompass generalized Abid Waheed graphs, characterized by r cycles of order s. A notable similarity between Abid Waheed graphs and Jahangir graphs was observed. The potential applications of …
Published in Journal of Polymer & Composites · Vol. 13, Issue 5, 2025 · pp. 267–274 Read article
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Designing Aspects and Recent Advances in Digital Holographic Microscopy
Abstract: Recent advances in Digital Holographic Microscopy have been discussed in this paper, besides throwing some light on the designing aspects of optical components like beam splitter and neutral density filter for the optimization of system performance. Some important related subtopics like spectral resolution of digital holograms, and Fourier-synthesis holography have been technically discussed. The optimization of acoustical holographic components for use in renewable energy production is presented in this study. …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 2, 2025 · pp. 06–18 Read article
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Exploratory Analysis of the Statistical Characteristics of Nuclear Fuel Cost Trends
Abstract: Nuclear power reactors of the current fleet mainly use uranium as the fissile fuel material. The economics of nuclear fuels are mainly governed by the prices of uranium. This work is an analysis of monthly uranium price data available from public data sources, covering the time frame from January 1990 to April 2025. In the near term, from 2021 to 2024, monthly uranium spot prices have been between $ 35.28±6.64/lb …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 3, 2025 · pp. 39–49 Read article
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Structural Integrity Analysis of Reinforced Concrete Frames Under Progressive Collapse Scenarios
Abstract: This study examines how a tall reinforced concrete (RC) frame may gradually collapse under several column removal situations, such as edge, end, center, zigzag, and two-column failures. The study assesses the structural reaction based on displacement, inter-story drift, and Demand–Capacity Ratio (DCR) using nonlinear static pushover analysis carried out in ETABS. According to the analysis, the frame's stability is seriously jeopardized when two nearby columns and end columns are removed, …
Published in Journal of Geotechnical Engineering · Vol. 12, Issue 3, 2025 · pp. 1–15 Read article
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Low-Power Reconfigurable Digital Filter Design Using FPGA for IoT Edge Devices
Abstract: The rapid evolution of the Internet of Things (IoT) has led to an exponential increase in the deployment of edge devices that continuously process real-time sensor data under strict power, latency, and computational constraints. Digital filtering remains a critical operation in these devices, supporting tasks such as noise removal, data conditioning, and feature extraction for intelligent decision-making. However, conventional filter implementations on microcontrollers or fixed digital signal processors often struggle …
Published in International Journal of VLSI Circuit Design & Technology · Vol. 3, Issue 2, 2025 · pp. 23–34 Read article
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Multi-Layer Aluminum–Polymer Hybrid Structures for Improved Automotive Impact Performance
Abstract: Layered metal–polymer hybrid laminates have emerged as promising candidates for lightweight automotive structures requiring high impact resistance and structural reliability. In this study, aluminum/glass–epoxy hybrid laminates were fabricated using a symmetric stacking sequence through hot compression molding to evaluate their mechanical and energy absorption performance. Density analysis revealed an average measured density of 2.34 g/cm³, closely matching the theoretical value of 2.36 g/cm³, with a deviation of approximately 1.02%, indicating …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 42–53 Read article
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Nanostructure-Induced Thermoelectric Enhancement in Bi₂Te₃ Nanorods Design, Analysis, and Performance Evaluation
Abstract: Thermoelectric materials capable of efficient energy conversion near room temperature are critical for waste heat recovery applications. In this work, solution-grown Bi₂Te₃ nanorods were synthesized via a trioctylphosphine-assisted thermal decomposition route, and the influence of surfactant-induced nanostructuring on their thermoelectric properties was systematically investigated. Structural analysis using X-ray diffraction and Rietveld refinement confirmed the formation of rhombohedral Bi₂Te₃ with the emergence of Bi₂Te₃–BiTe nanocomposites at higher surfactant concentrations. Electron microscopy …
Published in International Journal of Energy and Thermal Applications · Vol. 4, Issue 1, 2026 · pp. 34–44 Read article
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Structural Performance Evaluation of Circular Perforated Plates under Mechanical Loading
Abstract: Circular perforated plates are structurally critical components in aerospace, automotive, and marine sectors, where perforation-induced stress concentrations govern failure under mechanical loading. This study conducts a systematic finite element analysis of stress distribution, deformation, and interlaminar behavior in aluminum and glass-epoxy laminates ([−45/45/90/0]S and [−45/45/90/0]AS) under uniform transverse pressure with clamped-free boundary conditions. Four perforation configurations—no hole, central hole, single-series, and 25-hole grid—were evaluated using ANSYS Shell-181, verified against Kirchhoff–Love, …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 · pp. 1–20 Read article
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Performance-Based Wind Response Analysis of Tall RCC Iregular Structures Using Autodesk Revit and Robot Structural Analysis
Abstract: The increasing trend of vertical construction has made wind effects a critical consideration in the design of tall reinforced concrete (RCC) buildings. The response of such structures is largely governed by their geometric configuration, stiffness characteristics, and modelling accuracy under wind loading conditions Wind loads are evaluated based on standard provisions such as IS 875 (Part 3): 2015, which provide essential guidelines for structural safety This study focuses on evaluating …
Published in Journal of Structural Engineering and Management · Vol. 13, Issue 3, 2026 Read article
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Comprehensive Review of the Fundamental and Functional Properties of Crystalline Materials
Abstract: Crystalline materials, characterized by their highly ordered atomic arrangements, serve as the backbone of modern engineering and technology. This review provides a detailed examination of their diverse properties, categorized into mechanical, thermal, electrical, and optical domains. We analyze fundamental mechanical parameters such as the elastic modulus, yield strength, and fracture toughness, alongside functional behaviors like fatigue and creep. The discussion extends to thermal transport and expansion, electrical conductivity and resistivity, …
Published in International Journal of Crystalline Materials · Vol. 3, Issue 1, 2026 · pp. 20–24 Read article
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Enhancement of LVRT Capability in DFIG based Microgrids Using STATCOM
Abstract: The improvement of a grid-connected wind microgrid's Low Voltage Ride-Through (LVRT) capability using a Static Synchronous Compensator (STATCOM) is investigated in this research. The increasing penetration of wind energy into modern power systems necessitates advanced control strategies to maintain grid stability during voltage disturbances and fault conditions. In this study, a STATCOM is employed with an effectively tuned PI controller to provide enhanced dynamic response, voltage regulation, and reactive power …
Published in Trends in Electrical Engineering · Vol. 16, Issue 2, 2025 Read article
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Tailoring the Compressive Behavior of Tetra-Chiral Auxetic Structures through FDM Process Parameters
Abstract: This research evaluates how fused deposition modeling (FDM) fabrication process parameters affect the compressive behavior of tetra-chiral auxetic structures created from Polylactic Acid (PLA). Auxetic materials have a number of useful properties, including reversible deformation and high-energy absorbing capabilities, which are beneficial to creating ultra-lightweight structural, protective, and shock-resistance designs. Among the available auxetic topologies, the tetra-chiral configuration is particularly attractive for engineering use, because its rotation-dominated node–ligament deformation gives …
Published in Journal of Polymer & Composites · Vol. 14, Issue 5, 2026 Read article
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A Critical Review of the Limitations of the Arithmetic Mean and the Robustness of the Median in Statistical Analysis
Abstract: Arithmetic mean is an extremely popular measure of central tendency used in statistical analyses, primarily because it is so easy to calculate and has many positive mathematical characteristics. However, when there are outliers, skewed distributions or heterogeneous spread of data, the reliability of the arithmetic mean diminishes greatly. This paper includes a critical review of the limitations of the arithmetic mean and an assessment of the robustness of the median …
Published in OmniScience: A Multi-disciplinary Journal · Vol. 16, Issue 2, 2026 Read article