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750 articles for “Mathematical”
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Electromagnetic Transients in Strongly Non-Uniform Overhead High Voltage Lines
Abstract: This paper addresses the electromagnetic transients in high strongly non-uniform overhead voltage lines. For their simulation, a novel Laplace-domain approach has been introduced. The voltage and current patterns in terms of location and complex frequency are determined by a set of simultaneous algebraic and partial differential equations. To solve them numerically, an effective Mathematica code is proposed. By contrasting the outcomes of their application to multiple case studies with those …
Published in Journal of Power Electronics and Power Systems · Vol. 15, Issue 1, 2025 · pp. 30–36 Read article
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Analyzing The Electromagnetic Transients and Corona Performance of Long Overhead Lines with Multiple Tower Spans
Abstract: This paper addresses the simulation of the electromagnetic transients developed in an important class of non-uniform high voltage power lines. The resulting information is of paramount importance for the proper planning, design, operation and protection of electric power networks. It deals particularly with long overhead high voltage transmission lines composed of several tower spans which are connected in cascade. The presented approach considers eventually existing localized corona discharges at some …
Published in International Journal of Electrical and Communication Engineering Technology · Vol. 3, Issue 1, 2025 · pp. 35–44 Read article
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Electromagnetic Transients in Compensated Overhead Lines with Multiple Tower Spans
Abstract: This paper addresses the analysis of the electromagnetic transients developed in an important class of non-uniform high-voltage power lines. It deals particularly with compensated long overhead high- voltage transmission lines composed of several tower spans, which are connected in cascade. The derived mathematical model leads to a system composed of simultaneous partial differential and algebraic equations, which can be solved numerically in terms of parametric functions using the software Mathematica’s …
Published in Trends in Electrical Engineering · Vol. 15, Issue 2, 2025 · pp. 1–9 Read article
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Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article
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Perfect Numbers: Computational and Technical Exploration
Abstract: This paper explores perfect numbers, by getting into their historical significance and computational journey from ancient times to the present day. The discussion covers the mathematical definition of perfect numbers, their importance in number theory, and the major milestones in their discovery. Also, it elaborates how the coders are using their skillsets to identify new perfect numbers and the transforming outcome of getting more and more perfect numbers found. By …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 9–16 Read article
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A Study of Fixed-Point and Best Proximity Point
Abstract: Fixed-point theory plays a fundamental role in nonlinear analysis and has significant applications in optimization, differential equations, and applied mathematics. This study investigates the existence and properties of fixed points and best proximity points for various classes of mappings defined on metric and normed spaces. While fixed-point results guarantee the existence of a point that remains invariant under a given mapping, such points may not exist when the mapping is …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 28–39 Read article
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An Analytical Study on Learning Difficulties in Estimation Theory Among Undergraduate Engineering Students
Abstract: Estimation Theory is a critical mathematical foundation for all engineering disciplines, enabling learners to model uncertainty, analyse signals, and derive optimal estimators. However, undergraduate students frequently struggle with its abstract properties, complex derivations, and prerequisite statistical concepts. This study investigates the key learning difficulties faced by students across multiple engineering branches using diagnostic tests, structured questionnaires, and interviews. The findings reveal that students commonly experience challenges related to weak probability …
Published in Research & Reviews : Journal of Statistics · Vol. 15, Issue 1, 2026 · pp. 37–41 Read article
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Optimum Mixture Proportioning of Sawdust Ash Blended Sand-Stone Dust Blocks Using Scheffe’s Regression Theory
Abstract: This study carried out an experimental investigation on the compressive strength of sawdust ash blended sand-stone dust block of size 450 x 225 x 150 mm using Scheffe’s (5, 2) regression theory. The compressive strength of sawdust ash blended sand-stone dust blocks obtained based on fifteen trial mix ratios were used to develop the mathematical model while the results of the compressive strength values obtained based on the additional fifteen …
Published in Journal of Construction Engineering, Technology & Management · Vol. 13, Issue 2, 2023 · pp. 33–40 Read article
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Artificial Intelligence in Trigonometry: Innovations, Applications, and Future Prospects
Abstract: Artificial Intelligence (AI) has transformed numerous scientific fields, yet its integration with classical mathematics such as trigonometry is still emerging. This paper explores how AI enhances trigonometric problem solving, learning, and real-world applications. We analyse AI-driven tools for teaching trigonometry, AI in geometric and spatial reasoning, usage in robotics and computer vision, and future directions for research. Key challenges, methodologies, and case studies are discussed to provide a comprehensive overview …
Published in Journal of Artificial Intelligence Research & Advances · Vol. 13, Issue 3, 2025 Read article
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Development and Simulation of Non-Linear Gear Dynamics Model
Abstract: With the development of high-speed mechanical transmission, the dynamic characteristics of gear transmission require continuous improvement and more accurate prediction of the gear system dynamics becomes more and more important. The literature revealed that the gear pair transmission system is inherently non-linear which exhibits complex behavior and it is significant to study its vibration characteristics in detail and to analyze the influencing factors. A nonlinear dynamic model of gear transmission …
Published in Journal of Aerospace Engineering & Technology · Vol. 3, Issue 2, 2013 · pp. 11–16 Read article
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The nth Theory of Cosmic Oestrus
Abstract: Oestrus is instrumental in animal birth. Cosmic oestrus is instrumental in the birth of 1080 particles and the whole universe. The universe is nothing but space, just space. The egression of conserved energy or cosmic oestrus, which can neither be created nor destroyed, is space. Everything is the different mathematical powers of space. Space has three dimensions: 𝐿1, 𝐿2and 𝐿3. 𝐿1 makes time and inverted gravity, 𝐿2 makes mind/consciousness, and …
Published in Research & Reviews : Journal of Physics · Vol. 9, Issue 4, 2020 · pp. 32–49 Read article
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Universities in Ancient Bharat
Abstract: Our country was very much rich in respect of scientific, spiritual, literature and medical knowledge and even also in gross domestic product in comparison to any other country of the world. In single sentence, Bharat (India) was the leader in many respects in the world. Frequent Muslim aggressions started from 711 A.D., looting, burning and killing the intelligent persons by the Muslim in Bharat and destroyed not only physical wealth …
Published in Recent Trends in Social Studies · Vol. 1, Issue 1, 2024 · pp. 01–12 Read article
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Animated Transient Response of High Voltage Power Line Towers Equipped with Nonlinear Footing Resistances
Abstract: This study focuses, among other objectives, on the use of animation techniques for visualizing the electromagnetic transients in high voltage power line towers. The model includes parameters such as the tower’s footing resistance and its location-dependent surge impedance. It describes the governing algebraic/partial differential equations expressed in terms of the current and voltage distributions as functions of time and location. The transients are assumed initiated by a lightning discharge of …
Published in Trends in Electrical Engineering · Vol. 14, Issue 1, 2024 · pp. 44–52 Read article
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ML Associated DoS and DDoS Attack Observation in Protection
Abstract: DoS and DDoS assaults are significant risks to the availability and integrity of online services and networks. Attack traffic might come from a variety of geographical regions, making it difficult to filter and neutralize the attack. DDoS attacks are far more sophisticated and powerful than DoS attacks. They use a network of compromised devices, known as a botnet, to launch a coordinated attack on a target. Monitoring and evaluating the …
Published in International Journal of Satellite Remote Sensing · Vol. 2, Issue 1, 2024 · pp. 18–26 Read article
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Direct Determination of the Frequency-Dependent Transmission Constants of Non-Uniform Two-Port Networks
Abstract: Due to space constraints and the expansion of electricity networks, transmission lines that cross close to one another are now commonplace. Power networks also commonly install higher operational voltage lines that share transmission corridors with lower voltage lines. Overhead transmission lines are the primary method for transmitting electrical energy across vast distances. This paper presents an efficient and direct technique for identifying the four frequency-dependent ABCD transmission constants of arbitrary …
Published in Journal of Power Electronics and Power Systems · Vol. 14, Issue 3, 2024 · pp. 1–8 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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Vibrational Wind Turbine Design
Abstract: This work focuses on the study and analysis of bladeless wind turbines (BWT) as an alternative to operating vertical-axis wind turbines (VAWT) and horizontal-axis wind turbines (HAWT). A mathematical analysis of the BWT oscillation under wind force allows the development of specific mathematical expressions for the oscillation speed and BWT mast displacement at any height. The oscillation movement is submitted to a Strouhal constant number condition, resulting in an algorithm …
Published in Journal of Offshore Structure and Technology · Vol. 11, Issue 3, 2024 · pp. 32–45 Read article
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Exact Solutions of Kuramoto–Sivashinsky Equation Using Modified Sub-equation Method
Abstract: Equations for non-linear evolution are mathematical representations of physical phenomena. The physical interpretation of the solution functions of these equations enhances the viewpoint of many natural processes. Numerous scientists who acknowledge this truth have focused on this area. These mathematical models are even more important since they provide light on a multitude of events when their solutions take on a physical significance. Through their research, numerous scientists create methods and …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 2, 2024 · pp. 25–33 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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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