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633 articles for “Maths”
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Representation-Theoretic Symmetry Reduction and Fuzzy-Grey Optimization of Modular Vibration Systems
Abstract: This paper presents a representation-theoretic framework for symmetry-aware vibration control in modular structural systems. Exploiting cyclic symmetry, the mass, damping, and stiffness operators are block-diagonalised into irreducible representations, reducing the full structural dynamics to a collection of lower-dimensional modal subsystems. This decomposition provides both computational efficiency and a rigorous mathematical description of symmetry-preserving dynamic behaviour. To account for imperfections arising in practical implementations, near-symmetry defects in stiffness and damping are …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 22–30 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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Design and Analysis of Single Angle Expanding Collets
Abstract: The subject of production deals with the use of fixtures that ensures repeatability to the work piece to be manufactured. The fixture is clamping device that mounts parts at a perfect location and gives stability, which leads to mass production. Thus types of clamping play a decisive role in getting the good reliability of the product. Collet is one of the clamping devices which have long slits around its periphery, …
Published in Journal of Experimental & Applied Mechanics · Vol. 8, Issue 2, 2017 · pp. 1–12 Read article
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Wireless Sensor Networks Simulation
Abstract: The formidable growth of Wireless Sensor Network (WSN) research has raised challenging issues of examining the micro behaviour of proposed protocol and carrying out its performance evaluation. The methodologies to realize this is: mathematical modelling; experimentation and simulation. For WSNs, experimentation has financial constraints and mathematical modelling at times requires deep expertise in mathematics. Thus simulation has become the first choice for research in WSNs. There are several researchers using …
Published in Journal of Electronic Design Technology · Vol. 5, Issue 2, 2014 · pp. 1–8 Read article
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Effect of Process Parameters of Pulsed Current Micro Plasma Arc Welding on Weld Pool Geometry of AISI 304L Stainless Steel Sheets
Abstract: AISI 304L stainless steel is an austenitic Chromium-Nickel stainless steel offering an optimum combination of corrosion resistance, strength, and ductility. These attributes make it a favorite for many mechanical components. The low carbon content reduces susceptibility to carbide precipitation during welding. The effects of pulsing current parameters on weld pool geometry namely front width, back width, front height, and back height of pulsed current micro plasma arc-welded AISI 304L stainless …
Published in Journal of Materials & Metallurgical Engineering · Vol. 2, Issue 1-3, 2012 · pp. 105–116 Read article
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Establishing Empirical Relationships to Predict Grain Size and Hardness of Pulsed Current Microplasma Arc Welded Inconel 625 Sheets
Abstract: Nickel alloys have gathered wide acceptance in the fabrication of components, which require high temperature resistance and corrosion resistance, such as metallic bellows used in expansion joints in aircraft, aerospace and petroleum industry. In case of single pass welding of thinner sections of this alloy, pulsed current microplasma arc welding was found beneficial due to its advantages over the conventional continuous current process. The paper focuses on developing mathematical models …
Published in Journal of Materials & Metallurgical Engineering · Vol. 1, Issue 1-3, 2011 · pp. 37–47 Read article
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Optimization algorithms for multi objective problems and its application to sustainable sources for supplementing energy crisis
Abstract: Optimization, also called mathematical programming, is a collection of mathematical ideas and techniques used to solve quantitative issues in a variety of areas, including physics, biology, architecture, economics, and business. The subject evolved out of the recognition that quantitative issues in apparently disparate disciplines share significant mathematical features. As a result of this similarity, a wide variety of issues can be articulated and solved utilising the unified set of concepts …
Published in Journal of Microelectronics and Solid State Devices · Vol. 9, Issue 1, 2022 · pp. 19–25 Read article
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On The Time-Domain Analysis of the Electromagnetic Transients in High-Voltage Line Towers
Abstract: This paper presents an efficient and direct method for the time-domain transient analysis of high voltage power line towers. A Mathematica-based numerical solution of the governing set of simultaneous partial differential and algebraic equations is proposed. The results of a corresponding computer code are presented and discussed. A comparison with other more sophisticated analytical time-and Laplace-domain approaches is presented. In addition to the possible use of the EMTP transients’ program, …
Published in Journal of Nuclear Engineering & Technology · Vol. 13, Issue 2, 2023 · pp. 12–20 Read article
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Design and Simulation of Discrete Time Optimal Speed Control for an Induction Motor Taking Core Loss and Stray Load Losses into Account
Abstract: Generally, the core loss and stray load loss are neglected in the mathematical model of induction motor (IM) to design the decoupling torque and flux control strategy. In order to precisely control the torque and flux, core loss and stray load loss, which are generally neglected, should be considered in the mathematical model of IM to design the controller. Some of literatures have shown how the detuning can be done …
Published in Journal of Power Electronics and Power Systems · Vol. 4, Issue 3, 2014 · pp. 46–56 Read article
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Modeling of Photovoltaic Module with MATLAB/Simulink
Abstract: Abstract The generation of electrical energy from sunlight is achieved with an interface called photovoltaic (PV) module. The PV module plays a vital role for extracting electrical energy from sunlight, thus its accuracy is most important parameter for consideration while developing mathematical model of PV module. For higher accuracy the single diode model with series and parallel resistors combination is used. For simulating this device in MATLAB/Simulink we need weather …
Published in Trends in Opto-electro & Optical Communication · Vol. 9, Issue 1, 2019 · pp. 38–45 Read article
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Principles of Interpolating Prognostication in Oncology
Abstract: AbstractThe precise prediction in oncology plays a critical role in prevention, treatment, assessment of the effectiveness of methods of treatment and treatment outcomes for cancer patients. Some medical researches claim that statistical processing (factor analysis) permits to precisely individualize the prognosis, which determines the possibility of an individual approach to monitoring and postoperative treatment of patients. However, factor analysis permits only creating a matrix of factors that can significantly describe …
Published in Research and Reviews: Journal of Oncology and Hematology · Vol. 9, Issue 2, 2020 · pp. 39–51 Read article
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Study on the Variations in Physicochemical Property Concentration in a Contaminated Fresh and Salt Water
Abstract: In this research, the dispersion of crude oil contaminated was subjected into laboratory observations and results were recorded. These results were used to develop and adopt mathematical models for a proper engineering experimental practice. 1.5m3 volumes of fresh water and salt water were filled in two tanks of equal fit at the same intervals along the tanks and depth, where samples were collected for the purpose of analysis of physicochemical …
Published in International Journal of Pollution: Prevention & Control · Vol. 1, Issue 2, 2023 · pp. 1–9 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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Equivalence Patterns in Racing: Examining Findings and Fixed-point Theorems in S-multiplicative Metric Space Integration
Abstract: The idea of equivalency patterns in racing is discussed in the abstract, along with research results and fixed-point theorems in relation to S-multiplicative metric space integration. Being a competitive activity, racing provides a rich environment for researching equivalency trends between rival enterprises. This article examines the dynamics of racing scenarios by exploring the mathematical structure of S-multiplicative metric spaces. The goal of this research is to identify fundamental properties and …
Published in Journal of Advanced Database Management & Systems · Vol. 11, Issue 2, 2024 · pp. 36–42 Read article
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Electromagnetic Transients in Compensated Power Lines- Revisited: New Approach and Case Studies
Abstract: This paper addresses the simulation of the electromagnetic transients developed in high voltage power lines, which are initiated by lightning discharges. The analysis can handle both individual and simultaneous series inductive and shunt capacitive compensation types. The sizes and locations of the compensating elements are included in the analysis. The derived Laplace s-domain mathematical model applies the concept of the ABCD transmission constants representing equivalent two-port networks. The resulting currents …
Published in International Journal of Electrical and Communication Engineering Technology · Vol. 2, Issue 1, 2024 · pp. 19–26 Read article
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Novel Laplace-domain Approach to the Electromagnetic Transients in Compensated High Voltage Power Lines
Abstract: This paper addresses the simulation of the electromagnetic transients developed in high voltage power lines, which are initiated by lightning discharges. The analysis can handle both individual and simultaneous series inductive and shunt capacitive compensation types. The sizes and locations of the compensating elements are included in the analysis. The derived Laplace s-domain mathematical model applies the concept of the ABCD transmission constants representing equivalent two-port networks. Applying the relations …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 2, Issue 1, 2024 · pp. 15–21 Read article
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Container transportation in marine terminals and marine transportation infrastructure on the increase in export market share
Abstract: In order to achieve important policy goals like increasing global competitiveness, diversifying import sources, opening up new markets, and forging strategic partnerships, maritime transportation is essential. It also has a significant impact on reducing the economic vulnerability of nations that rely on the sale of gas and oil by carefully choosing its clients and growing the export of petroleum products, petrochemicals, and gas. This study develops a two-objective mathematical planning …
Published in Journal of Petroleum Engineering & Technology · Vol. 14, Issue 1, 2024 · pp. 36–42 Read article
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Numerical Solution of Ordinary Differential Equation and Solution of Partial Differential Equation
Abstract: This research paper explores the fundamental role of various mathematical concepts in engineering and scientific fields like aerospace engineering, materials science, software development, and the energy sector. We delve into the applications of solving algebraic and transcendental equations, finite difference interpolation, numerical methods, solutions to ordinary differential equations (ODEs), and numerical solutions to partial differential equations (PDEs). By examining their applications in these diverse fields, we illustrate the critical importance …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 12–20 Read article
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Proposed System: Quantum Computing Processor Based on Linear Number Relation
Abstract: This paper details the design and implementation of a specialized quantum processor tailored for efficiently evaluating custom mathematical formulas. Optimized to perform a specific set of arithmetic and logical operations, this processor delivers a stable and high-performance computing platform. Unlike general-purpose quantum processors, which are designed for versatility across a wide range of algorithms, this dedicated processor aims to enhance performance and accuracy for a targeted set of tasks. The …
Published in Recent Trends in Parallel Computing · Vol. 11, Issue 3, 2024 · pp. 24–32 Read article
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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