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633 articles for “Maths”
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Strengthening Low Voltage Ride-Through in Wind Energy Systems: A Comparative Study of DVR and STATCOM
Abstract: This study looks at the various methods used to improve the low-voltage ride-through (LVRT) capabilities of wind turbine systems (WT) that are based on double-fed induction generators (DFIG). The Type-III WT machine, which is mostly based on DFIG, is instantly connected to the grid without the digital power interface, making the terminal voltage or reactive electricity output unmanageable. This is because the world utilizes between 20% and 25% of renewable …
Published in Journal of Power Electronics and Power Systems · Vol. 14, Issue 3, 2024 · pp. 47–62 Read article
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Time and Frequency Response of Non-uniform Overhead Lines Under Corona
Abstract: This study presents an efficient and direct technique for determining both the time and frequency responses of non-uniform overhead power transmission lines operating under corona conditions. The assumed-line's non-uniformity is due to the conductors’ sag. Expressions will be presented for the location-dependent line surge impedance and the unevenly distributed lines’ electrical parameters. The analysis starts with solving the relevant system of differential and algebraic equations, subject to the boundary conditions. …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 2, Issue 2, 2024 · pp. 25–33 Read article
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History and Applications of Kalman Filter: A Review
Abstract: The Kalman filter is a powerful algorithm that is used to estimate the dynamic system states with noisy measurements and uncertain behaviors. It is an optimal estimator that minimizes the average squared error between the estimated states and the true states, given the noisy data and a model of the system. The recursive algorithm is highly effective in tracking and predicting the state of complex systems over time. Kalman filters …
Published in International Journal of Electrical Power and Machine Systems · Vol. 2, Issue 1, 2024 · pp. 14–23 Read article
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First Order Sliding Mode Control of Coupled Tank System
Abstract: This paper investigates the challenging problem of liquid level control in Coupled Tank Systems (CTS). CTS, characterized by its nonlinear behaviour and sensitivity to disturbances, presents significant control challenges. This report suggests and assesses several control measures to solve these problems. Mathematical models are developed to capture the system's nonlinear dynamics, and controllers such as Proportional-Integral (PI) and Sliding Mode Controllers (SMC) are designed. The PI controller effectively regulates the …
Published in Trends in Electrical Engineering · Vol. 14, Issue 3, 2024 Read article
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Polymer Chemistry Perspectives: Applying the Water Quality Index (WQI) for Groundwater Quality Assessment
Abstract: Through the utilization of polymers' special qualities, such as their capacity to concentrate analytes and their affinity for particular pollutants, we establish a strong framework for assessing groundwater quality. A more thorough understanding of groundwater contamination is made possible by the integration of polymer-based techniques with the WQI, empowering stakeholders to decide on remediation and water resource management strategies with knowledge. The quality of groundwater, especially shallow groundwater, is being …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 119–124 Read article
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A Method to Produce a GIS Database of Asphalt Polymer Pavement Distress of National Highway
Abstract: Bitumen, often referred to as asphalt in its solid form, is a complex mixture of organic compounds derived from the distillation of crude oil. Its chemical composition varies depending on its source, processing methods, and intended application. Pavement surface monitoring is an important part to increase the life of pavement and to minimize the cost incur in maintenance of pavement at an early stage. Traditionally pavement monitoring done using manually …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 99–108 Read article
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Computational Approaches to Understanding Cellular Signaling Pathways
Abstract: Cellular signaling pathways are fundamental in regulating vital processes, such as cell growth, differentiation, and apoptosis. The intricate and interconnected nature of these signaling networks requires sophisticated methods for their analysis. Computational approaches, including mathematical modeling, network analysis, and machine learning, have revolutionized the way researchers analyze and simulate cellular signaling. This article provides a comprehensive overview of computational strategies employed to model signaling pathways, with a focus on integrating …
Published in International Journal of Cell Biology and Cellular Functions · Vol. 2, Issue 2, 2024 · pp. 8–13 Read article
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Optimization of Tensile and Flexural Properties of PETG Filament in FDM 3D Printing Using Response Surface Methodology
Abstract: Now a days manufacturing trend has been changed from subtractive to additive. In additive manufacturing (3D Printing), layer by layer deposition occurs and final product can be obtained. The main advantages of additive manufacturing is to obtain customized product, complex geometry product. This research investigates the optimization of tensile and flexural Strength of PETG filament in Fused Deposition Modeling (FDM) 3-d printing by using of Response Surface Methodology (RSM). Specimens …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 39–58 Read article
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Blockchain Technology: Challenges and Opportunities
Abstract: Blockchain is a revolutionary digital, distributed network technology which has the power to replace third party trusted with mathematical concept and algorithms. It is considered as a change in every aspect in the life of humans. It is basically the peer-to-peer connection within a decentralized database. Blockchain provides us with the features of security, privacy, accessibility as well as immutability. Blockchains are mostly used for registering transactions, authenticating and validating …
Published in Journal of Advanced Database Management & Systems · Vol. 12, Issue 1, 2025 · pp. 21–30 Read article
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Encoding-Decoding Algorithm Using the Catalan Transform of Weighted Tribonacci Sequence
Abstract: In order to improve information security, this paper presents a unique algorithm for encoding and decoding messages utilizing the Catalan Transform of a Weighted Tribonacci Sequence. Utilizing the Catalan and Tribonacci sequences, the methodology combines the concepts of number theory and combinatorics to create an effective encryption and decryption process. First, an array is created by mapping each character in the plaintext message to its corresponding ASCII value. The ASCII-weighted …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 12–16 Read article
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Algorithmic Encryption of Natural Numbers Based on the Collatz Conjecture
Abstract: This paper creates an encryption technique based on the well-known unresolved mathematical problem known as the Collatz conjecture. This conjecture states that every natural number larger than one eventually lowers to one by a set of precise procedures called the Collatz sequence. The study’s methodology associates these sequences’ terms with the Turkish alphabet’s letters. The Collatz transformation is applied to the integer that corresponds to each letter. The words created …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 6–11 Read article
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Determination of Effect of Temperature on Bacteria and Fungi (Salt and Fresh Water)
Abstract: This study investigates the effect of temperature on bacterial and fungal activity in fresh and saltwater environments contaminated with crude oil. Utilizing standard characterization techniques, pure cultures of bacteria and fungi were isolated and identified. A bioreactor setup was employed to assess microbial growth and heat generation at varying temperatures (15°C to 120°C) over a 6-hour period. The results demonstrated that temperature significantly influences microbial activity, with bacterial growth rates …
Published in Journal of Petroleum Engineering & Technology · Vol. 15, Issue 1, 2025 · pp. 01–08 Read article
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Optimized Design and Control of Oil Exploitation Strategies: An Assisted Approach
Abstract: Because there are so many factors and scenarios to consider, optimizing oil exploitation tactics requires complicated decision-making. Conventional approaches frequently concentrate on particular elements of the design infrastructure, which restricts their capacity to fully handle the process. In order to maximize a set of oil exploitation variables in a hierarchical fashion, this research proposes a novel assisted optimization technique that combines mathematical algorithms with engineering analysis. By grouping variables into …
Published in Journal of Petroleum Engineering & Technology · Vol. 15, Issue 1, 2025 · pp. 29–34 Read article
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The Scientific Foundations of Programming Languages: Bridging Theory and Practical Application
Abstract: The study of programming languages within computer science is fundamental to the development of efficient, reliable, and scalable software systems. However, the degree to which these languages adhere to scientific principles remains a topic of debate. This paper explores the scientific nature of computer science languages by examining their theoretical foundations, design principles, and practical applications. It evaluates how programming languages are grounded in mathematical logic, formal semantics, and computational …
Published in International Journal of Computer Science Languages · Vol. 3, Issue 1, 2025 · pp. 32–41 Read article
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Autonomous Scripting: The Future of AI-Enhanced Shell Programming for DevOps and Security
Abstract: The evolution of operating systems has seen a paradigm shift with the integration of artificial intelligence, quantum computing, and edge computing technologies. Autonomous scripting, driven by AI, is transforming DevOps workflows and security paradigms, enabling self-healing systems, predictive automation, and intelligent threat detection. This study explores the role of AI-enhanced shell programming in the automation landscape, discussing its implications for next-generation operating systems. It further delves into the integration of …
Published in Journal of Advances in Shell Programming · Vol. 12, Issue 1, 2025 · pp. 28–39 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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Differential Model of Wave Vibration on Strings and Rods
Abstract: Vibration, as a physical phenomenon, plays a multifaceted role in both natural and engineered systems. Beyond its essential contribution to communication through sound and speech, it finds critical application in various technological domains. For instance, in the design of stringed musical instruments such as violins and guitars, precise manipulation of string vibrations defines tonal quality and musical resonance. Similarly, metal rods in tuning forks exhibit vibrational properties that are finely …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 1, 2025 · pp. 17–21 Read article
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Exploring the Influence of Machining Parameters on Geometric Form and Orientation Controls (23 Design)
Abstract: This work explores the influence of machining parameters using on geometric form controls flatness and straightness as well as orientation control parallelism using an aluminum 6061 workpiece. Due to its good strength, machinability and cost- effectiveness, aluminum 6061 is widely used. In this experimental work, full factorial design is used and each factor has two levels. The response parameters chosen include flatness, straightness, and parallelism, which govern the form and …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 1, 2025 · pp. 10–16 Read article
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Differential Equations in Quantum Mechanics and Schrödinger Equation
Abstract: In this study we investigate how differential equations play a role in quantum mechanics, focusing mainly on the role of a prominent one, Schrödinger's equation, which governs the behavior of quantum systems. In time two the mathematical picture of the wave nature of particles at quantum scales is provided, and the resulting equations are Schrödinger's equation, both in its time dependent as well as in its time independent form. The …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 15–25 Read article
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Numerical Study of Natural Convection Heat Transfer in Porous Particles Through Composite Filters
Abstract: The study of heat transmission through porous materials within the confines of reactor configurations stands as a pivotal realm of inquiry in the realms of engineering and the applied sciences, possessing wide-ranging applications spanning from soil mechanics to the refinement of heat exchange systems. Porous substances, distinguished by their interconnected voids or interstices, present an array of reactor forms that profoundly shape the flow of fluids and the conveyance of …
Published in Journal of Polymer & Composites · Vol. 13, Issue 2, 2025 · pp. 268–279 Read article