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449 articles for “percolation theory”
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Dynamic Modeling and Simulation of Multi-Body Mechanical Systems: A Comprehensive Review of Methods, Tools, and Applications
Abstract: The dynamic modeling and simulation of multi-body mechanical systems (MBS) form a cornerstone in modern mechanical engineering, enabling in-depth analysis of the kinematic and kinetic behaviors of interconnected rigid and flexible components. MBS are foundational to a range of critical applications, from automotive suspensions and aerospace mechanisms to robotics and biomechanical structures. As system complexity and performance requirements increase, accurate and scalable modeling techniques are essential for both design validation …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 1, 2025 · pp. 35–42 Read article
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Algebraic Geometry and Mathematical Physics: An Interdisciplinary Exploration
Abstract: Algebraic geometry, a branch of mathematics that studies solutions to systems of polynomial equations, has profound implications in mathematical physics. This paper delves into the intersection of algebraic geometry and mathematical physics, exploring how concepts from algebraic geometry illuminate various physical phenomena. We examine applications in string theory, quantum field theory, and positive geometry, highlighting the role of algebraic structures in understanding the fabric of the universe.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 26–29 Read article
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A Review Paper on The Mathematical Foundations of Artificial Intelligence
Abstract: Artificial Intelligence (AI) is deeply rooted in various branches of mathematics, which provide the theoretical foundation and practical tools for developing intelligent systems. This paper explores the crucial role of mathematics in AI, focusing on key areas such as Linear Algebra, Probability and Statistics, Optimization Techniques, Calculus, Graph Theory, and Fourier and Wavelet Transforms. Linear Algebra is fundamental for representing and manipulating data, with applications in dimensionality reduction and neural …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 7–14 Read article
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Inverse Model for Predicting Thermal Abnormality of the Transient Process Triggered by Defective Electronics Element
Abstract: The paper presents a model for predicting thermal abnormalities in Printed Circuit Boards (PCBs) by approximating the thermal process of electric elements with heating from point sources. Circuit board heat sources are defined as point and non-point. The point heat source is a small electronic heating element that can be approximated as having originated from one point on the circuit board. A non-point source is one with heat distributed over …
Published in International Journal of Energy and Thermal Applications · Vol. 3, Issue 2, 2025 · pp. 24–31 Read article
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The Mediating Role of Label Trust in Shaping Green Purchase Attitudes Among Young Consumers: Sustainable Chemical Transparency in FMCG Packaging
Abstract: This study looks at the function of Perceived Chemical Transparency (PCT) in influencing consumers' Green Purchase Attitude (GPA) in the Fast-Moving Consumer Goods (FMCG) sector, with Label Trust (LT) serving as a significant mediating factor and Environmental Concern (EC) acting as a direct predictor. Based on the Theory of Planned Behavior and Signaling Theory, the study hypothesizes that clear disclosure of chemical and polymer-related information increases trust in eco-labels and …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 1308–1319 Read article
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Modeling Galaxy Formation in a Hierarchical Universe: A Fiducial Approach and Comparison with Observational Data
Abstract: We have developed a detailed model to understand how galaxies form in the framework of hierarchical theories of structure formation. Our model accounts for key processes like the formation and merging of dark matter halos, the heating and cooling of gas inside these halos, the regulation of star formation driven by energy from evolving stars and supernovae, galaxy mergers, and the changes in star populations over time. This approach is …
Published in International Journal of Universe · Vol. 1, Issue 1, 2025 · pp. 30–36 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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Modern Physics Approaches to Light-Matter Interaction
Abstract: Light-matter interaction is crucial to numerous fundamental and applied phenomena in contemporary physics, encompassing quantum optics and materials science. This study examines modern methods for comprehending and controlling the interaction between electromagnetic radiation and matter, focusing on both theoretical frameworks and experimental progress. The interaction between light and matter is a fundamental aspect of contemporary physics, forming the basis for phenomena that include the essential principles of vision and photosynthesis, …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 3, 2025 · pp. 10–19 Read article
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Psychological Determinants of Farmers’ Adoption of Sustainable Practices: A Behavioural Approach to Agricultural Extension
Abstract: Sustainable agriculture has emerged as a global priority to balance productivity with environmental conservation. Yet, adoption of sustainable practices by farmers remains uneven, shaped not only by economic incentives but by underlying psychological and behavioural factors. This review explores the psychological determinants influencing farmers’ willingness to adopt sustainable agricultural practices across traditional and modern contexts. Drawing upon behavioural theories such as the Theory of Planned Behaviour and the Diffusion of …
Published in Research & Reviews : Journal of Agricultural Science and Technology · Vol. 15, Issue 1, 2026 · pp. 101–109 Read article
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An Analytical Review of Machine Learning Methodologies
Abstract: Machine Learning (ML) is a dynamic and rapidly developing area of computer science that enables the system to learn from data and improve its performance without clear programs. Rooted in statistical theory and computer algorithms, ML has become a major technology that progresses in artificial intelligence. It strengthens the detection of the recommendations and speech for extensive applications from autonomous vehicles and medical diagnoses. This paper has reviewed the basics …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 13–21 Read article
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Bridging Polymer Science and the Circular Economy: Innovative Business Models for Sustainable Plastic Alternatives
Abstract: It involves the application of polymer science, circular economy principles, and sustainable business models to change the industrial environment in an environmentally friendly manner, which the study focuses on. It will also carry out a rigorous investigation into the potential of bio-based, biodegradable, and recyclable materials and how to integrate them into business models that can be sustainable. The theoretical basis of the study includes the theory of the circular …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 202–217 Read article
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Thermo-Mechanical Vibration Analysis of Simply Supported Laminated and Flat Plates Under Harmonic Loading
Abstract: This paper delves into a numerical exploration of the vibration characteristics and frequency response of two types of plates: a simply supported rectangular laminated plate and a simply supported flat plate. These plates are subjected to concentrated harmonic forces within a thermal environment. The determination of the critical buckling temperature guides the assessment of thermal load effects. Analytical formulations, incorporating first-order shear deformation theory (FSDT) to consider shear deformation and …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 1519–1530 Read article
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IoT-Enabled Polymer–Gel PCM Composites for Intelligent Thermal Management in Solar Facade Applications
Abstract: The present study investigates the development of a multifunctional polymer–gel phase change composite designed for solar façade applications with integrated real-time thermal monitoring capability. A crosslinked polyvinyl alcohol–borax matrix was employed as a three-dimensional polymer scaffold to encapsulate paraffin-based phase change material, ensuring leakage-free operation and structural integrity under repeated thermal cycling. Graphite nanoplatelets were incorporated as thermally conductive nano-fillers to enhance heat transfer through the polymer composite via percolation-driven …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 99–111 Read article
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Gravitational Waves: Heralding a Transformative and Unprecedented Era in Astrophysical Observation and Exploration
Abstract: Gravitational waves, first theorized by Einstein’s General Theory of Relativity in 1916, are disturbances in spacetime caused by the acceleration of massive objects. Their first direct observation in 2015 by the Laser Interferometer Gravitational-Wave Observatory (LIGO) marked a groundbreaking achievement in astrophysics and created a new way to explore the universe. This review paper provides a comprehensive overview of gravitational waves, including their theoretical foundation, sources, detection techniques, and implications …
Published in International Journal of Universe · Vol. 2, Issue 1, 2026 · pp. 16–22 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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Effects of Reels and short videos on human mind and Academic Life
Abstract: The rapid rise of short-form video platforms such as Instagram Reels, TikTok, and YouTube Shorts has fundamentally reshaped the way people consume information and entertainment. While these applications offer quick engagement and social connection, their excessive use has raised serious concerns about their psychological and academic impacts. This research investigates the relationship between short-form video addiction, mindfulness, academic anxiety, and academic engagement among university students. Drawing upon the theoretical framework …
Published in International Journal of Behavioral Sciences · Vol. 3, Issue 2, 2026 · pp. 22–33 Read article
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Acetaminophen: Current Understanding and Future Directions in Pharmacology
Abstract: In this review, acetaminophen is described as one of the most widely used analgesic and antipyretic medications worldwide due to its effectiveness and reduced gastrointestinal toxicity compared with traditional NSAIDs. Its precise mode of action is still unclear despite widespread therapeutic use. Acetaminophen has little peripheral anti-inflammatory effect and largely acts within the central nervous system, in contrast to NSAIDs, which mainly block peripheral cyclooxygenase (COX) enzymes and lower inflammation. …
Published in Research and Reviews: A Journal of Pharmaceutical Science · Vol. 17, Issue 2, 2026 Read article
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Psychological Drivers of ESG Investment in the Polymer Sector
Abstract: This research will delve into the mentalities of investors concerning investments in polymer-ESG projects. Sustainable investing has become very popular in recent times across the globe. At the same time, the polymer or plastic industry is encountering numerous environmental issues. Plastics make up some 3.3–4.5% of global emissions of greenhouse gases (≈1.8 billion tons per year, TPI), and only about 9% of the total production of 400 million tons is …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 · pp. 162–174 Read article
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Spectral Intuitionistic Fuzzy Hypergraph Operators and Dominance Kernels for Resilient Discrete Network Design
Abstract: A new discrete-mathematical framework is developed for resilient network design on intuitionistic fuzzy hypergraphs, where uncertainty is explicitly represented through membership, non-membership, and hesitation degrees associated with both vertices and hyperedges. These three components are systematically integrated into an effective incidence operator that captures the underlying uncertain relationships within complex hypergraph structures. Based on this operator, both un-normalised and normalized Laplacian matrices are formulated to characterize the spectral properties and …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 41–48 Read article
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Application of Compressive Sensing for Sampling and Reconstruction of MRI Images
Abstract: In recent years, a new theory of compressive sensing has evolved which asserts that super resolved signals and images can be recovered with far fewer samples than that demanded by the Nyquist sampling theorem. It is required that the signal being sensed has a low information-rate meaning that it is sparse in original or some transform domain. Former approaches capture the complete signal and process it to extract the information. …
Published in Current Trends in Signal Processing · Vol. 6, Issue 2, 2016 · pp. 42–48 Read article