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18 articles for “Group Theory”
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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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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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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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A Novel Mathematical Exploration of Fractal Dynamics in Hyperbolic Spaces
Abstract: This research paper presents an original study on the behavior, generation, and properties of fractal structures within hyperbolic geometry. Unlike classical Euclidean fractals, hyperbolic fractals demonstrate accelerated boundary complexity and distinct scaling symmetries due to the curvature of the underlying space. The paper proposes new iterative models, analyzes geometric invariants, and explores potential applications in data visualization, network science, and theoretical physics. This research paper conducts an in-depth investigation into …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 1–7 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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Configuration and Properties of Group III Elements in the Periodic Table
Abstract: Group III elements comprise those found in the third column of the periodic table, including boron, aluminum, gallium, indium, and thallium. These elements possess three valence electrons in their outermost shell, characterized by the electron configuration ns2np1, which influences their location and characteristics within the periodic table. The distribution of electron pairs, formal charges, oxidation states, and molecular morphologies of Group III elements and their compounds are illustrated in this …
Published in Journal of Materials & Metallurgical Engineering · Vol. 15, Issue 2, 2025 · pp. 23–30 Read article
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Bridging the Theory-Practice Gap in Nursing Education in India: Exploring the Role of Simulation-Based Learning and AI-Driven Education
Abstract: The theory-practice gap in nursing education is a persistent issue that hinders the effective application of theoretical knowledge in clinical practice, ultimately affecting the clinical competence and decision-making skills of nursing graduates. This study explores the factors contributing to the theory-practice gap in nursing education in India and evaluates the potential of simulation-based learning (SBL) and artificial intelligence (AI)-driven education in bridging this gap. A mixed-methods approach was employed, involving …
Published in Journal of Nursing Science & Practice · Vol. 15, Issue 2, 2025 Read article
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Comparison of Knowledge Perceived by Final Year Dental Students for a Lesson on the Apical Barrier in the Premature Root by Clinical Case Demonstration as Compared to the Didactic Teaching Method
Abstract: The present dental education is using didactic teaching method, which is teacher-centered with minimal or no active participation from the students. Case-based learning (CBL) is defined as learning that is based upon description of a patient’s problems, analysis and interpretation of all the relevant data obtained from history, examination and investigations and planning for further management of patient. The goal of CBL is to prepare students for clinical practice, by …
Published in Research and Reviews: A Journal of Dentistry · Vol. 15, Issue 2, 2024 · pp. 1–7 Read article
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Evaluating the Impact of Information Education and Communication Package on Knowledge and Attitude Regarding Reproductive and Sexual Health among Late Adolescent Girls in Selected Colleges at Madurai
Abstract: A quasi-experimental study was carried out to assess the effectiveness of an Information, Education, and Communication (IEC) package on the knowledge and attitudes related to reproductive and sexual health among late adolescent girls attending colleges in Madurai. The study aimed to: assess the changes in knowledge and attitudes before and after the intervention in both control and experimental groups, evaluate the effectiveness of the IEC package, investigate the correlation between …
Published in International Journal of Evidence Based Nursing And Practices · Vol. 2, Issue 1, 2024 · pp. 26–32 Read article
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A Quasi-Experimental Study to Assess the Effectiveness of a Structured Teaching Programme on Knowledge and Skill of Cardiopulmonary Resuscitation Among Students at Selected Colleges
Abstract: A quasi-experimental study was conducted to evaluate the effectiveness of a structured teaching program (STP) on the knowledge and skills related to cardiopulmonary resuscitation (CPR) among students in selected colleges of Jodhpur. The objectives were to assess and compare the knowledge and skills of students in the control and experimental groups, determine the correlation between knowledge and skill levels, and identify associations with selected demographic variables. The study was guided …
Published in International Journal of Emergency and Trauma Nursing and Practices · Vol. 3, Issue 2, 2025 · pp. 61–105 Read article
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Dasatinib Induced Pulmonary Hypertension
Abstract: Dasatinib (Das) is a second-generation tyrosine kinase inhibitor that is used in the treatment of chronic myelogenous leukemia (CML) in patients who are resistant or intolerant to imatinib, as well as in Philadelphia chromosome-positive acute lymphoblastic leukemia (Ph+ ALL) patients. Dasatinib-induced pulmonary arterial hypertension (PAH) is a known but rare adverse effect of dasatinib and is grouped under Group-1 PAH. The mechanism of PAH development is not fully known, but …
Published in Research and Reviews: A Journal of Pharmacology · Vol. 14, Issue 3, 2024 · pp. 92–95 Read article
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Evaluating the Impact of a Video-Assisted Teaching Program on Knowledge and Attitudes About Teenage Pregnancy Prevention Among Fortunetellers Community Women in a Selected Region of Madurai District
Abstract: This research aims to evaluate the efficacy of a video-assisted teaching program in preventing teenage pregnancy, gauge participants' knowledge and attitudes regarding teenage pregnancy prevention, explore the relationship between their knowledge and attitudes, and examine how demographic variables correlate with pre-test knowledge and attitudes. The research hypotheses were formulated to determine their significance. A survey of the literature was done and organized based on studies related to teenage pregnancy. The …
Published in International Journal of Evidence Based Nursing And Practices · Vol. 2, Issue 1, 2024 · pp. 26–31 Read article
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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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Neuromarketing a New Tool for Marketing Research
Abstract: In recent years, a new marketing research tool called neuromarketing has emerged that uses brain research in a management context and has become popular in curricula and the world of practice. Neural Production caught the attention of publishers in early 2002 by making the publisher's job easier by simplifying the way and process of searching for ideas. This article examines the role of neuromarketing theory as a useful tool for …
Published in International Journal of Optical Innovations & Research · Vol. 1, Issue 2, 2023 · pp. 20–26 Read article
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Synthesis, spectroscopic, crystal structure, Hirshfeld surface, computational, and biological investigations on Isophorone derivatives: 3-(3,4-dimethoxystyryl)-5,5-dimethylcyclohex-2-en-1-one
Abstract: FT-IR, 1H NMR, and 13C NMR spectroscopy were among the spectroscopic methods used to synthesize and analyze 3-(3,4-dimethoxystyryl)-5,5-dimethylcyclohex-2-en-1-one, a new isophorone derivative. Single-crystal X-ray diffraction (SCXRD) was used to determine the crystal structure, which showed that the molecule crystallizes in a monoclinic system (space group P121/c1) with packing configurations and intermolecular interactions. To learn more about the non-covalent interactions influencing the crystal packing, Hirshfeld surface analysis was used. In order …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 16, Issue 2, 2025 · pp. 51–69 Read article
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Algebraic Foundations of Generalized Signal Processing: A Unified Approach Across Domains
Abstract: Using the techniques of algebra, notably polynomial algebras and modules, algebraic signal processing (ASP) is a contemporary, abstract framework that generalizes conventional signal processing— including Fourier analysis, filtering, and convolution. The notion is to use algebraic structures to explain signals, systems, and transformations such that ideas may be understood and generalized across many domains, including time, space, graph, or group. A unifying theoretical framework called ASP generalizes classical signal processing …
Published in Current Trends in Signal Processing · Vol. 15, Issue 3, 2025 · pp. 33–44 Read article
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Microvita as a Fermi-Boson Hybrid Quantum Excitation: A Statistical Pathway Toward Unified Physics, Chemistry, and Biological Organization
Abstract: This article reformulates Microvita as a hybrid quantum excitation that interpolates continuously between fermionic and bosonic statistical behavior. A generalized operator algebra, a dynamical statistical order parameter, and a Lorentz-covariant field equation are used to frame Microvita as an effective unification scheme rather than a mere philosophical construct. The formalism predicts renormalization-group flow between infrared fermionic and ultraviolet bosonic limits, while numerical profiles suggest vacuum-energy smoothing and topological-defect suppression in …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 17, Issue 1, 2026 · pp. 115–122 Read article
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Exploring Antimalarial Activity of Chalcone Derivatives through QSAR
Abstract: Background: The core structure of chalcones contains a reactive α,β-unsaturated system within the aromatic rings, which plays a key role in mediating various biological effects. These effects include enzyme inhibition, anticancer activity, anti-inflammatory properties, as well as antibacterial, antifungal, antimalarial, antiprotozoal, and anti-filarial actions.Modifying the structure by introducing substituent groups to the aromatic ring can enhance potency, reduce toxicity, and expand their range of pharmacological actions. Methods: A total of …
Published in International Journal of Bioinformatics and Computational Biology · Vol. 3, Issue 2, 2025 · pp. 1–6 Read article