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449 articles for “percolation theory”
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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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Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 Read article
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Graphene-Derived Reinforced Polymer Composites for Self-Healing and Durability Enhancement in Concrete Structures
Abstract: This study presents a matrix-centric polymer-composite repair binder: an epoxy–polyamide network reinforced with graphene derivatives (GO/rGO, 0.1–1.0 wt%). The polymer drives function via segmental mobility that closes microcracks, while 2D-filler topology densifies the interphase, improves load transfer, and enforces tortuous moisture pathways. Adhesion was high: pull-off (ASTM D4541) reached 13.5 MPa at 2.0 mm displacement; slant-shear (ASTM C882) reached 12.1 MPa at 2.8 mm, with greater deformation capacity (zero stress …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 77–91 Read article
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Investigation On Waste Management And Its Recycling
Abstract: For doing the inventions with the Green Initiatives recycling and reusing of products is very essential. It has been acknowledged that one of the most important elements in achieving growth, environmental sustainability, and improved quality of life is green product innovation. Theory and practice have made it a strategic priority to comprehend how innovation and sustainability combine to produce green product innovation. In the face of growing environmental concerns and …
Published in International Journal of Pollution: Prevention & Control · Vol. 3, Issue 2, 2025 · pp. 51–60 Read article
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The Evolution and Impact of Numbers: From Ancient Tallies to Quantum Computing: Review Article on Numbers
Abstract: Numbers are among the most fundamental constructs in human civilization, serving as the backbone of mathematics, science, technology, and virtually every aspect of daily life. They represent not only quantities and measures but also relationships, structures, and patterns that underpin the fabric of human understanding. From the earliest tallies etched on bones by prehistoric humans to the sophisticated numerical systems embedded in today’s artificial intelligence and quantum computing, the evolution …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 15–19 Read article
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Studies of Mathematics: A Review of Research Trends, Themes and Implications
Abstract: This review examines contemporary research trends, thematic developments, and emerging implications within the field of mathematics education and mathematical studies. Drawing on a synthesis of recent scholarly literature, it explores how mathematics as both a discipline and a pedagogical practice continues to evolve in response to technological advancements, interdisciplinary applications, and changing educational paradigms. Major research trends reveal a growing emphasis on problem-based learning, mathematical modeling, and the integration of …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 19–24 Read article
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Exploring the Studies of Mathematics: Foundations, Evolution, Pedagogy and Prospects
Abstract: Mathematics, often regarded as the universal language of science and logic, has evolved through centuries as both a tool for understanding the natural world and a discipline of abstract reasoning. This study explores the multifaceted dimensions of mathematics by examining its foundations, historical evolution, pedagogical approaches, and future prospects. The foundational aspects trace back to ancient civilizations—Babylonian arithmetic, Greek geometry, and Indian and Arabic contributions to algebra— highlighting how early …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 25–31 Read article
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Al-Razi’s Anatomical Insights: A Detailed Review of Kitab Al-Mansuri
Abstract: Al-Razi (865–925 CE), a leading physician of the Greco-Arab Golden Age, made foundational contributions to human anatomy through clinical observation and empirical analysis. This review explores Al-Razi's anatomical insights, particularly as recorded in his influential medical compendium Kitab al-Mansuri (The Book of Medicine Dedicated to al-Mansur). In this work, Al-Razi challenges the prevailing Galenic doctrines by prioritizing evidence-based understanding over uncritical acceptance of ancient texts. His method reflects a scientific …
Published in Research & Reviews : A Journal of Unani, Siddha and Homeopathy · Vol. 12, Issue 3, 2025 · pp. 1–7 Read article
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Hybrid Best-Response Algorithms for Mobile Computing Offloading: A Comprehensive Review
Abstract: The exponential growth of mobile applications with intensive computational requirements has necessitated innovative offloading strategies in mobile computing ecosystems. This comprehensive review examines hybrid best-response offloading algorithms integrated with game-theoretic optimization frameworks to address resource allocation challenges in mobile edge computing (MEC) environments. The proliferation of Internet of Things (IoT) devices and bandwidth-intensive applications has created unprecedented demands on mobile network infrastructure, compelling researchers to develop sophisticated offloading mechanisms that …
Published in International Journal of Mobile Computing Technology · Vol. 3, Issue 2, 2025 · pp. 20–26 Read article
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Microvita: A New Hybrid Particle Bridging the Fermionic and Bosonic Domains in Particle Physics
Abstract: In particle physics, the established classification of particles into fermions and bosons—obeying Fermi-Dirac and Bose-Einstein statistics, respectively—has shaped theoretical and experimental frameworks for nearly a century. This study introduces 'Microvita', a novel theoretical particle that exhibits hybrid characteristics modulated by a continuous parameter α ∈ [0,1]. Through this parameter, Microvita interpolates between bosonic and fermionic behavior in terms of spin, statistical distributions, and operator algebra. We explore the foundational algebra …
Published in Research & Reviews : Journal of Physics · Vol. 15, Issue 1, 2026 · pp. 14–27 Read article
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Electroactive Graphene–Polymer Nanocomposites for Self-Sustaining and Multifunctional Flexible Devices
Abstract: Graphene–reinforced polymer–composites were developed and systematically investigated to explore their multifunctionality in flexible electronic applications. The study specifically aims to correlate graphene-induced structure–property–function relationships with electroactive performance and self-sustaining behaviour in flexible devices. The hybridization of electroactive polymers—polyaniline (PANI), poly(3,4-ethylenedioxythiophene): polystyrene sulphonate (PEDOT:PSS), and polyvinylidene fluoride (PVDF)—with graphene nanoplatelets enabled simultaneous enhancement of electroactivity, energy-harvesting, and sensing functionalities. Morphological studies confirmed uniform graphene dispersion at 5 wt.% loading, forming continuous …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 260–271 Read article
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Debris Flow Kinetics in Planetary Environments: A Systems Perspective
Abstract: Debris flow kinetics in planetary environments represent a critical intersection of geomorphology, fluid mechanics, and planetary science. These gravity-driven flow mixtures of solids, liquids, and gases play a key role in shaping planetary surfaces and recording environmental histories. This study adopts a systems perspective to analyze debris flow behavior across different planetary contexts, emphasizing the interconnected roles of material properties, energy transformations, and environmental forcing. By integrating rheological models with …
Published in International Journal of Universe · Vol. 1, Issue 2, 2025 · pp. 08–17 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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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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FLEXURAL VIBRATION OF NON-UNIFORM BEAM ON BI-PARAMETRIC FOUNDATION UNDER HARMONIC MOVING LOAD WITH NON-CLASSICAL BOUNDARY CONDITIONS
Abstract: The dynamic response to harmonically varying moving loads of non-uniform elastic beam resting on bi-parametric foundation with non-classical boundary condition, time dependent in particular is examined in this paper. Here, the beam is considered non-uniform, with the moment of inertia and the distributed mass varying continuously along the span L as functions of the position 𝑥. In order to guarantee a more stable structure and a reduce risk of resonance, …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 28–42 Read article
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IoT Network Security Employing KVS Approach: Novel Approach to IoT Security with B-Cell Inspired Models Implemented using Artificial Intelligence
Abstract: The Internet of Things (IoT), which links billions of devices that gather, analyse, and send data, is growing quickly. Although there are many benefits to this interconnection, there are also serious security risks. Conventional security measures frequently struggle to keep up with the dynamic and diverse nature of IoT environments. Innovative security ideas are being investigated in response, and the B-Cell concept, also known as the Kutubuddin Vahida Sultana (KVS) …
Published in Journal of VLSI Design Tools and Technology · Vol. 15, Issue 3, 2025 · pp. 36–46 Read article
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Light-Matter Interactions in Molecular Photochemistry
Abstract: Molecular photochemistry explores the ways of molecules interaction with light, absorb photons, and excited‐state processes, and ultimately conversion of photon energy into chemical change. Core concepts of this innovative and relevant field are matter interaction like electronic, vibrational, and rotational transitions; non‐adiabatic couplings; energy & electron transfer; and light–matter coupling in weak and strong regimes. This article briefly surveys the multiplicity of these interactions, from the fundamentals of photon absorption …
Published in International Journal of Photochemistry and Photochemical Research · Vol. 3, Issue 2, 2025 · pp. 33–42 Read article
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Management of Ship-Generated Pollution in Nigerian Seaports
Abstract: The impact of ship-borne pollution in Nigeria’s seaport is alarming. Following the guidelines of the International Convention for the Prevention of Pollution from Ships (MARPOL). This study identifies the types of ship-generated waste; evaluates the availability of waste reception facilities in Nigerian seaports, examining the costs of operation waste reception facilities in the Nigerian Seaports; examines the management of ship waste collection processes in the Nigerian Seaports; investigates the implementation …
Published in International Journal of Pollution: Prevention & Control · Vol. 3, Issue 2, 2025 · pp. 23–42 Read article
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Evaluating TRIZ Methodology in the Conceptual Design Phase of Industrial Products
Abstract: The Theory of Inventive Problem Solving (TRIZ) has emerged as a powerful systematic innovation methodology that enhances creativity and problem-solving efficiency in engineering design. This paper evaluates the application of TRIZ during the conceptual design phase of industrial products, where early-stage decisions critically influence functionality, cost, sustainability, and market competitiveness. TRIZ provides designers with structured tools—such as the 40 Inventive Principles, Contradiction Matrix, Su-Field Analysis, and Trends of Technological Evolution—that …
Published in International Journal of Industrial and Product Design Engineering · Vol. 3, Issue 2, 2025 · pp. 27–32 Read article
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Shaping Views: Nursing Students’ Perception Towards the Profession
Abstract: Nurses play a vital role in the healthcare system, providing essential care across diverse populations. As the backbone of health services in the 21st century, the nursing profession demands skilled practitioners who contribute significantly to patient care, health promotion, and disease prevention. However, global shortages of nursing professionals, particularly in countries like India, threaten healthcare quality and accessibility. Understanding nursing students’ perceptions of their profession is crucial, as these views …
Published in Journal of Nursing Science & Practice · Vol. 15, Issue 3, 2025 · pp. 1–10 Read article