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289 articles for “mathematical analysis”
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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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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article
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Quantum-Fuzzy Tensor Operators for Multi-Qubit Conjunction, Disjunction, and Symmetry-Preserving State Discrimination
Abstract: The integration of fuzzy logic and quantum information theory raises a fundamental mathematical question: how can degrees of truth be encoded in multi-qubit amplitudes while preserving the unitary dynamics and symmetry structure of quantum state spaces? This paper develops a tensor-operator framework for implementing quantum-fuzzy logical operations on finite qubit registers. Fuzzy truth values are represented by normalized quantum amplitude pairs, enabling logical information to be embedded directly into quantum …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 16–21 Read article
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Advancements in Windmill Technology: Comprehensive Research on Conventional and Piezoelectric Windmills
Abstract: This research delves into the structural components and mechanisms of conventional wind turbines, emphasizing blade material considerations for optimal performance. It introduces a paradigm shift by exploring the use of epoxy resin and piezoelectric materials, specifically zinc oxide, in wind turbine blades. The study presents mathematical models and conducts a comparative analysis between conventional and piezoelectric turbines, evaluating efficiency, cost-effectiveness, environmental impact, and energy output differences. While awaiting experimental data, …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 31–42 Read article
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A Comprehensive Study on Improving Contact Lens Performance Through Various Approaches
Abstract: Contact lenses improve vision quality by correcting refractive errors and thus provide a convenient alternative to traditional eyeglasses. Apart from vision enhancement, they have multiple applications in cosmetics, drug delivery, and therapeutic use. The performance of these lenses depends on various factors such as material, design, fitting, and interaction between the lens and the eye. The selection of appropriate materials is crucial for maintaining optimal eye health. Properties like oxygen …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 211–222 Read article
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Study of High Strength Fiber Reinforced Metakaolin Concrete under Flexure and SplitTensile Strength
Abstract: An experimental investigation was carried out to study the effect of inclusion of metakaolin and steel fibers on high strength concrete in flexure and split tensile strength. The beams of 150x150x700 mm were casted. M60 grade of concrete was used. Superplasticizers were used to improve workability. The metakolin was added upto 20% with the increments of 5% and steel fibers were added upto 5% with the increment of 0.5%. Various …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 2, 2016 · pp. 70–80 Read article
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Algebraic Foundations of AES (Advanced Encryption Standard): Group Theory and Finite Field Applications in Symmetric Cryptography
Abstract: This paper presents a mathematical study of symmetric cryptographic algorithms, with a particular emphasis on the Advanced Encryption Standard (AES), which is one of the most widely used encryption schemes in modern security applications. The study highlights how abstract mathematical frameworks such as group theory, finite fields, and vector space concepts provide the foundation for the design, implementation, and analysis of AES. By approaching the algorithm from a mathematical perspective, …
Published in Recent Trends in Mathematics · Vol. 2, Issue 1, 2025 · pp. 12–16 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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Parametric Analysis of Oscillating Squeeze Film Using a New Dimensionless Parameter
Abstract: A comprehensive mathematical model has been established including a new dimensionless parameter Ω to investigate the effects of surface roughness and permeability of rubber block on leakage flow rate and hydrodynamic force generated in fluid film between annular porous rubber block and oscillating annular rigid block. The modified Reynolds equation, Laplace equation and governing equation for three-parameter viscoelastic model are solved simultaneously to obtain pressure developed in fluid film between …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 2-3, 2012 · pp. 12–24 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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Harmonic Analysis of Full-Wave Diode Bridge Rectifier Circuits
Abstract: This paper analyzes the steady-state harmonic performance of four-diode, single-phase full-wave rectifier bridge circuits. The frequency spectra of the source and load currents are presented. The effect of the load resistance, the source inductance, the smoothing shunt- capacitor as well as the waveform of the supply voltage is illustrated. The approach can also handle cases involving non-sinusoidal sources and non-linear loads. Based on a Mathematica code, the paper presents the …
Published in Trends in Electrical Engineering · Vol. 10, Issue 1, 2020 · pp. 7–21 Read article
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Introduction to Biological Networks and their Contributions to Systems Biology
Abstract: Biological networks provide a conceptual framework to represent and analyze the intricate interconnections among the numerous components that make up living systems. This review paper elucidates the foundational principles of networks and their diverse applications in systems biology, highlighting their crucial role in understanding the inherent complexity of biological processes. Utilizing graph theory, these networks represent entities like genes, proteins, and metabolites as nodes, with their interactions depicted as edges. …
Published in International Journal of Bioinformatics and Computational Biology · Vol. 2, Issue 1, 2024 · pp. 53–70 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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Recent Trends in Rotary Kiln and Refractory Material Patterns in Cement Production: A Review Approach
Abstract: The manufacturing of cement and other industrial operations depend heavily on rotary kilns, which use refractory materials to endure high temperatures and challenging chemical conditions. With an emphasis on their effects on durability and operating efficiency, this study looks at the most recent developments in rotary kiln technology and refractory material choices. Various rotary kiln designs, typical refractory material patterns, and the difficulties posed by kiln failures are all covered. …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 2, 2025 · pp. 27–34 Read article
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Design and Simulation of MEMS-based Piezoelectric Accelerometer
Abstract: In this work, the modelling and design of a Micro Electro Mechanical Systems (MEMS) uniaxial accelerometer has been presented. The design of the sensor includes sensing acceleration in the x-direction only. The device achieves this function using a proof mass suspended through four spring structure. The device dimensions are finalized mathematically and the simulated using Finite Element Analysis. The structure is simulated with and without piezoelectric material ZnO and a …
Published in Recent Trends in Sensor Research & Technology · Vol. 1, Issue 2, 2014 · pp. 16–19 Read article
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Analysis of MEMS Electrostatic Actuator using SIMULINK Software Tool
Abstract: The study includes Micro-Electro-Mechanical System (MEMS) electrostatic actuator using SIMULINK software tool considering equivalent mathematical model. This paper deals with the equation of motion, electrostatic force for the analysis of pull in voltage and displacement of an electrostatic cantilever with respect to the changes in applied force (voltage). Considering these equation, we have developed SIMULINK model to analyze pull in voltage, and displacement for the various applied input voltage.Keywords: MEMS, …
Published in Journal of Instrumentation Technology & Innovations · Vol. 5, Issue 1, 2015 · pp. 32–35 Read article
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Topology and Geometry in Data Science: Persistent Homology and Beyond
Abstract: In recent years, the interplay between topology, geometry, and data science has gained substantial momentum, offering powerful frameworks to analyze and interpret complex datasets. Traditional statistical and machine learning methods often rely on linear or metric- based assumptions, which may fail to capture the intrinsic structure of high-dimensional or nonlinear data. In contrast, topological and geometric methods provide shape-oriented, scale- invariant tools that focus on the continuity, connectivity, and global …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 21–27 Read article
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Statistical Analysis on Weld Bead Geometry of Pulsed Current Micro-plasma Arc Welded AISI 316Ti Austenitic Stainless Steel Sheets
Abstract: Micro-plasma arc welding (MPAW) uses low amperage to join sheets, where the thickness is low, such that they can be used for manufacturing metal bellows, metal diaphragms etc. In the present work, pulsed current MPAW is used for joining 0.3 mm thick AISI 316Ti austenitic stainless steel sheets. Peak current, base current, pulse rate and pulse width are considered as input parameters and weld bead geometry parameters namely front width, …
Published in Journal of Materials & Metallurgical Engineering · Vol. 6, Issue 2, 2016 · pp. 20–37 Read article
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Implementation of Load Flow Analysis using NR method
Abstract: Load flow studies are one of the most important aspects of power system analysis and design. This paper presents an optimal analysis technique for load flow analysis using Newton Raphson Algorithm for solving set of nonlinear equations. The main objective of load flow analysis is to evaluate the magnitude and phase angle of voltage at each bus as well as real and reactive power flowing in each transmission line. For …
Published in Journal of Advancements in Robotics · Vol. 2, Issue 3, 2015 · pp. 8–13 Read article