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132 articles for “Mathematics studies”
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Comparative Evaluation of Fixed-Point Theorems Investigating Differences Among Conditions in Metric Spaces
Abstract: This paper provides a concise overview of metric spaces, their fundamental properties, and the idea of continuity as it pertains to these spaces, drawing parallels to uniform continuity and convergence. Also included is a review of previous research on metric space, its generalization, and practical outcomes from studies that utilized these spaces in various applications. We introduce a fixed point theorem for mixed monotone mappings in partially ordered metric spaces, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Mathematical Modelling of Semiconductor Device Physics: An Analytical Approach
Abstract: Semiconductor device physics forms the foundation of modern electronic and optoelectronic technologies. Mathematical modelling provides a rigorous framework for understanding, predicting, and optimizing the behavior of semiconductor devices by linking physical principles with device-level performance. This work presents an analytical approach to the mathematical modelling of semiconductor devices, emphasizing the derivation and interpretation of governing equations that describe charge transport and electrostatic behavior. The model is based on fundamental physical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 36–42 Read article
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CFD Analysis of Electric Vehicles Battery Pack: A Research Study
Abstract: The goal of the project is to keep the battery temperature within the specified range and to improve the battery pack's performance under different temperature settings. To achieve these goals, we employ software to analyze the data and provide the necessary output. With model-based design, you can understand the dynamic behavior. For this project, a CAD model was produced with Creo Parametric. We used the STAR CCM+ Software for analysis …
Published in International Journal of Electrical Power and Machine Systems · Vol. 1, Issue 2, 2023 · pp. 28–32 Read article
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Molecular Transport Kinetics of Non-Polar Solvents Through AGNP Filled EPDM Elastomeric Composites
Abstract: EPDM Based rubber composites can be used in tank and pipe lining works. In these applications one of the major requirements is that the composite must have good fluid permeability and chemical degradation resistances in their working environment. In order to enhance the performance of EPDM rubber to suit these applications, scientists and engineers are trying to develop novel nanocomposites by incorporating nano fillers. In the present work, to ensure …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 993–1006 Read article
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A Method of Mesh Deformation for Flow Analysis Around Oscillating Bodies
Abstract: In general, high-speed rotating machines are subjected to complex phenomena due to various reasons, such as increased noise and strong vibration due to dynamic unbalance, which affect the dynamic motion of rotating machines and are necessarily a problem to overcome. Therefore, it is necessary to have a mathematical model to simulate it, and a strong tool to solve the constructed model. Using fluid-structure coupling techniques, which are currently a powerful …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 2, 2025 · pp. 35–42 Read article
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Design and Mathematical Quantification of a Compressed-Air Vehicle
Abstract: Compressed-air technology is emerging as a promising alternative mode of transportation, offering significant advantages over conventional fuel-operated vehicles. Unlike fossil fuel systems, compressed-air propulsion produces no direct emissions, making it an eco-friendly solution to rising concerns about air pollution and environmental degradation. Owing to its sustainability potential, this technology has attracted considerable attention from researchers, engineers, and energy enthusiasts worldwide, who have conducted extensive studies to improve its efficiency, feasibility, …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 1026–1035 Read article
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Design of Plant for the Production of 30,000 Tons Per Year Capacity of Dimethyl Carbonate (DMC) from Natural Gas Using Aspen HYSYS
Abstract: This study focuses on the design of a plant for the production of 30,000 tons per year of dimethyl carbonate (DMC) from natural gas. The plant design was carried out using the Aspen HYSYS Software. The data obtained from Kokori natural gas served as the primary feedstock for the plant. A kinetic model for the production of DMC was developed from existing literature, followed by the development of the mathematical …
Published in Emerging Trends in Chemical Engineering · Vol. 12, Issue 3, 2025 · pp. 45–60 Read article
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A Comparative Study Between GSM and CNN to Develop Gesture Detection Based Alert System for Women Safety
Abstract: Women’s safety is a pressing issue in today’s world, and technology can play a crucial role in addressing it. This project introduces a facial expression recognition device that uses Convolution Neural Network (CNN) technology and develop it’s comparison with an expression system with use of GSM is done. Unlike traditional methods relying on manual activation or dedicated devices, this system reacts instantly to threatening situations by recognizing predefined gestures, ensuring …
Published in International Journal of Electrical Power and Machine Systems · Vol. 2, Issue 1, 2024 · pp. 24–30 Read article
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Design and Performance Evaluation of PLA-based Umbrella Wheels for Stair-Climbing Robotic Applications
Abstract: Staircase climbing robots require a complex design capable of navigating various stair configurations. A crucial component of such robots is the wheel mechanism. This paper focuses on the umbrella wheel mechanism and its application in staircase climbing robots. In this study, a PLA–based umbrella wheel structure is developed and fabricated using fused deposition modeling (FDM) for application in stair-climbing robots. The umbrella wheel geometry enables transformation from a circular rolling …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 808–824 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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Quantitative Approaches to Legal Decision-Making: The Mathematics of Justice
Abstract: The research paper examines the application of quantitative approaches to decision-making in legal systems, presenting the concept of "mathematical justice." As legal systems grow increasingly complex, the adoption of statistical and data-driven methods can provide valuable insights, offering clarity and consistency to judicial processes. By leveraging these methods, courts and policymakers can make more informed, evidence-based decisions, enhancing both fairness and accountability within the justice system. The paper is divided …
Published in Research & Reviews : Journal of Statistics · Vol. 13, Issue 3, 2024 · pp. 27–31 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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Comparative Analysis of AI-Based Approach vs. Traditional Methods in Climate Modeling
Abstract: Climate modeling helps to predict the future of climate variations and human interference with environment. The traditional General Circulation Models (GCMs) are based on physics-derived mathematical equations but are very expensive in terms of computation. There are alternative ways to perform climate modeling in recent years with the rise and improvement of Artificial Intelligence (AI) based approaches in term of predictability, efficiency, and classification of extreme events compared to conventional. …
Published in Current Trends in Information Technology · Vol. 15, Issue 3, 2025 · pp. 26–32 Read article
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Advanced Micromachining with Abrasive Jet Machining: Experimental Observations and Model Comparisons
Abstract: Abrasive Jet Machining (AJM), also known as Micro Blast Machining, is a non-traditional machining process that removes material through the erosive action of a high-velocity gas jet carrying fine abrasive particles. This process is particularly effective for machining intricate shapes in hard and brittle materials that are heat-sensitive and prone to chipping. Similar to sandblasting, AJM is widely utilized for tasks such as deburring, rough finishing, and micromachining, especially in …
Published in Journal of Instrumentation Technology & Innovations · Vol. 15, Issue 3, 2025 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
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Mathematical Modeling and CFD Analysis for Protype Model Development of a Low-cost Hybrid Power Operated Mini Kitchen Chimney for Rural Households
Abstract: Home chimneys remove pollution by products of fossil fuels from the atmosphere. Today's environmental problems are worsening rapidly due to technology and population growth. Thus, researchers developed a hybrid micro kitchen chimney to help rural residents at a low cost. This small hybrid chimney simplifies rural cooking. A kitchen chimney is the best way to remove smoke, grease, stink, stains, oil droplets, and more from the kitchen. It helps ventilate …
Published in International Journal of Energy and Thermal Applications · Vol. 1, Issue 1, 2023 · pp. 14–28 Read article
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The Electromagnetic Transients in Compensated High Voltage Power Lines
Abstract: This paper addresses the simulation of the transients developed in high voltage lines, which are initiated by lightning discharges. The analysis allows for compensated and uncompensated lines. Both the individual and simultaneous series inductive and shunt capacitive compensation types can be dealt with. The sizes and locations of the compensating elements are included in the analysis. Numerous studies on the transient concentrated stresses across these elements and the related protection …
Published in International Journal of Electrical Power and Machine Systems · Vol. 1, Issue 2, 2023 · pp. 1–8 Read article
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Multicriteria Decision Making using SR-Fuzzy Sets
Abstract: In this study, we introduce and explore square-root fuzzy sets (SR-Fuzzy sets), a novel extension within the realm of fuzzy set theory. We begin by establishing a comparative analysis between SR-Fuzzy sets and two well-known fuzzy set models: Intuitionistic Fuzzy Sets (IFS) and Pythagorean Fuzzy Sets (PFS). This comparison highlights the unique characteristics and mathematical structure of SR-Fuzzy sets. A particular focus is placed on the complement operator, which plays …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 12–20 Read article
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A Mathematical Perspective on Recent Cloud-Computing Trends for Scalable and Secure Social-Media Platforms
Abstract: Cloud computing underpins modern social-media platforms by providing elastic compute, storage, and data-processing pipelines capable of absorbing highly bursty workloads. This paper surveys recent cloud-native trends—serverless and event-driven design, container orchestration, edge/CDN offload, streaming analytics, and privacy-enhancing security controls—and formalizes their impact through a compact mathematical model. We express workload volatility using arrival-rate functions, use queueing-based capacity sizing to derive auto-scaling rules, and formulate an optimization objective that balances cost …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 35–40 Read article
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The Double-edged Sword: Evaluating the Benefits and Challenges of AR and VR in Education
Abstract: Incorporating augmented reality (AR) and virtual reality (VR) into education is transforming traditional learning settings by boosting interactivity, engagement, and accessibility. AR and VR technologies provide immersive experiences that transform theoretical concepts into visual and practical applications, effectively catering to various learning styles. This abstract explores the impact of AR and VR on educational outcomes, examining their applications across various disciplines, including STEM (science, technology, engineering, mathematics), humanities, and vocational …
Published in Journal of Advances in Shell Programming · Vol. 11, Issue 2, 2024 · pp. 5–11 Read article