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750 articles for “Mathematical”
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Modeling and Simulation of a Chaotic Oscillator Using Mathematica
Abstract: This paper suggests a modified methodology for the modeling and simulation of a chaotic oscillator. Its analysis and the pertinent results of an efficient Mathematica simulation program dealing with a typical Chua's circuit are presented and discussed. The derived computer code is based on the application of state-variables in the time domain. The program yields the circuit’s currents and voltages and indicates their sensitivities to changes in the numerical values …
Published in Journal of Power Electronics and Power Systems · Vol. 11, Issue 1, 2021 · pp. 28–37 Read article
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The Analysis of Bridge Rectifier Circuits using Mathematica
Abstract: This paper addresses the steady-state and transient analysis of bridge rectifiers. It starts withsuggesting an efficient representation of the diodes. A single equation that describes thediode’s performance in both the forward and reverse directions is presented. It implicitlytakes the voltage polarity into account. Without any loss of generality, the suggested method isapplied to the classical uncontrolled four-valve full-wave rectifier bridge configureuration.The effect of the load resistance and the eventual presence …
Published in Trends in Electrical Engineering · Vol. 10, Issue 1, 2020 · pp. 30–42 Read article
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Evaluation of Options using The Cox-Ross-Rubinshtein Mathematical Model
Abstract: Using complex mathematical formulas, we can calculate the reasonable value of an option.The Cox-Ross-Rubinstein model takes into account factors that are not considered in the Black-Scholes model and is an improved version of the binomial model. At the same time, the Cox-Ross-Rubinshtein model gives results close to the Black-Scholes model. The difference between these two models is that the Cox Ross Rubinstein modeltakes into account the possibility of early execution …
Published in Journal of Communication Engineering & Systems · Vol. 8, Issue 2, 2018 · pp. 47–50 Read article
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Matrix Factorization and Tensor Decomposition at Scale: Mathematical Foundations and Computational Approaches
Abstract: Matrix factorization and tensor decomposition techniques have emerged as fundamental tools in machine learning and data science for handling high dimensional data efficiently. This paper presents a comprehensive analysis of scalable matrix factorization and tensor decomposition methods, focusing on their mathematical foundations, computational complexity, and practical applications. We examine key algorithms including Singular Value Decomposition (SVD), Non-negative Matrix Factorization (NMF), CP decomposition, and Tucker decomposition, with particular emphasis on their …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 56–59 Read article
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Mathematical Study and Steady-State Modeling of Simple Vapour Adsorption Refrigeration System
Abstract: Abstract This paper discusses the mathematical formulation for various heats involved during different processes of a simple vapour adsorption refrigeration cycle having activated carbon and methanol as the active working pairs. This formulation is further used and a detailed analysis of the cycle’s performance is studied based on a steady-state model prepared on the FORTRAN77 platform compiler. The analysis includes effects of the input parameters of the cycle such as …
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 3, Issue 3, 2016 · pp. 1–13 Read article
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The Customized ZigBee Stack: Mathematical Modelling
Abstract: Abstract There are different protocols for realising WPAN. ZigBee protocol supports high node density, long range and robust communication and hence chosen for experimenting in WPAN. ZigBee protocol may not be adequate to bring all the consumer electronic devices under WPAN and control them as the devices may use different protocols. ZigBee stack is taken as base, it is modified to incorporate the features of common communication protocol so as …
Published in Recent Trends in Electronics Communication Systems · Vol. 3, Issue 3, 2016 · pp. 7–14 Read article
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Mathematical Modelling of the Effect of Functional Parameter on the Biodegradation Rate of Hydrocarbons
Abstract: The discovery of oil as a potential source of energy did not come without its attendant problems. Continuous degradation of our environment and increased carbon footprint is a negative consequence of global industrialization. However, microbes are known to consume such hydrocarbon in an attempt to restore the environment to its original state. These microbes depend on several factors-one of which is temperature- to function effectively. In this work, we have …
Published in Research & Reviews: A Journal of Bioinformatics · Vol. 7, Issue 3, 2020 · pp. 34–43 Read article
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Forms of Work in Interactive Teaching of Mathematics
Abstract: In accordance with modern teaching methods mathematics, the degree of interactivity of teaching/learning is a basic criterion the quality of the basic mathematics education process. Methodical approach to interactive continues, for each class separately, contains original methodological frameworks with models of interactive processing of all teaching units. Interactive teaching is a social process, learning as an interaction between students and teachers, students, students and parents, peers. The result of this …
Published in Research & Reviews : Journal of Statistics · Vol. 10, Issue 2, 2021 · pp. 14–22 Read article
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Multi-directional Wind Turbine System Optimisation and Mathematical Modelling for India’s Sustainable Wind Energy Development
Abstract: The global trend towards green energy usage is expanding. Wind power is clean and sustainable and may compete with fossil fuels in the electricity market. This project's manufacturing cost must match fossil fuels or other energy sources to be competitive. The main investment in wind generation is in machinery and infrastructure. Wind power becomes competitive by lowering energy costs through turbine design, building, and operation. Understanding wind turbine activity over …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 1, Issue 1, 2023 · pp. 32–42 Read article
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Automated Math Solver Assist with LLM RAG
Abstract: The challenges of solving complex mathematical problems often hinder efficiency in various scientific and engineering domains. This project proposes an innovative solution to these challenges by integrating automated math solvers with large language model (LLM) retrieval-augmented generation (RAG). The proposed system aims to streamline mathematical problem-solving processes, offering a robust and precise tool for real-time recognition, classification, and solution generation. This work provides a novel method of automating the solution …
Published in Current Trends in Signal Processing · Vol. 14, Issue 2, 2024 · pp. 25–30 Read article
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Comparative Analysis of Polyethylene Terephthalate Based Blended Lean Mortar Mixes by Applying Mathematical Simulations and Regression Approach
Abstract: Currently, construction manufacturing units need an abundant number of non-renewable resources rising in the quarrying of natural strata, producing a disparity in our precious environment. Besides this, a plentiful amount of waste material like plastic waste in several forms such as solid, filler, etc., is generated gradually. Therefore, efficient sustainable disposal seemed like a threatening mission across the world. To mitigate the issue, in the present investigation, fine aggregate (sand) …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 60–70 Read article
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Mathematical Modeling Analysis of India's Accident &Use of Fly Ash and Polymers in Road Safety
Abstract: Accident predicting models (APMs) are exceptionally strong tools for adaptation and mitigation strategies because they have the ability to predict both the severity and frequency of crashes. Road accidents are a major problem all throughout the world, especially in developing countries. Understanding the key variables that contribute can assist in reducing the frequency of traffic collisions. This study also discovered recent developments on fly ash, green composites, other polymer materials …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 488–499 Read article
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To Evaluate the Performance of the Selected Hybrid Systems and Validation of Mathematical Model with the Experimental Data
Abstract: The main aim of this paper to evaluate the performance of the PV-Wind hybrid systems and validation of mathematical model with the experimental model. In the research paper, the experimental model of PV-Wind Hybrid system has been installed at a height of 22 meters in the School of Energy and Environmental studies, DAVV, Indore, and M.P., India. The theoretical calculation of the wind generator output has also been compared with …
Published in Journal of Alternate Energy Sources & Technologies · Vol. 16, Issue 2, 2025 · pp. 20–28 Read article
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A Novel Mathematical Exploration of Fractal Dynamics in Hyperbolic Spaces
Abstract: This research paper presents an original study on the behavior, generation, and properties of fractal structures within hyperbolic geometry. Unlike classical Euclidean fractals, hyperbolic fractals demonstrate accelerated boundary complexity and distinct scaling symmetries due to the curvature of the underlying space. The paper proposes new iterative models, analyzes geometric invariants, and explores potential applications in data visualization, network science, and theoretical physics. This research paper conducts an in-depth investigation into …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 1–7 Read article
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Mathematical Modelling and Experimental Analysis of a 3D Printed PLA UAV Propeller using NACA 4412 Airfoil
Abstract: The usage of unmanned aerial vehicles (UAVs) has grown significantly because they are cost-effective and easy to availability for many applications. However, researchers have focused on the designing for various UAV propeller/rotors geometries, including their aerodynamic performance and structural examination. An elegant, designed propeller can enhance the UAV's endurance limit and its reliability. This research focuses on designing of UAV propeller and its fabrication using Polylactic acid (PLA) material using …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 825–832 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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An Approach to Mathematical Modelling of Tensile Strength of 3D Printed ABS Specimens
Abstract: In the present work the tensile properties of 3D printed Acrylonitrile Butadiene Styrene (ABS) are studied. Layer thickness, raster angle and raster width were varied. Experiments were carried out based on Taguchi’s L9 orthogonal array. Tensile strength of ABS specimens was determined from universal testing machine (UTM). Mathematical model was developed to predict the tensile strength of ABS. It is found that the predicted model has good fit with experimental …
Published in Journal of Polymer & Composites · Vol. 9, Issue 2, 2021 · pp. 1–9 Read article
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Mathematical Modeling of Managed Pressure Drilling
Abstract: Managed pressure drilling (MPD) is an adaptive pressure drilling technique, which is preferably used in matured oil fields. This brings in the various issues of matured fields which can be easily managed by the MPD. Paper presents the mind map which can be used for further development of this technique. Further, it also presents the parametric mathematical modeling of MPD which can be used for adaptive control and demonstration. Four …
Published in Journal of Petroleum Engineering & Technology · Vol. 4, Issue 3, 2014 · pp. 9–17 Read article
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The Application of Python Programming Language in the Automation of a Mathematical Model for Well Trajectory Selection Optimisation for a Given Field
Abstract: Directional drilling plays a major role in the exploration and recovery of hydrocarbons. There are three basic trajectories that a well may follow. They include; Build-and-Hold, Build-Hold-andDrop and Continuous-Build Trajectories. The selection of a trajectory is usually based on experience/trial and error approach and may be associated with errors. This work has therefore developed a mathematical model that optimised the automatic selection of a well trajectory type for a given …
Published in Journal of Petroleum Engineering & Technology · Vol. 12, Issue 3, 2022 · pp. 1–9 Read article
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The Big Traveling Salesman and Mathematics At The Limits of Computation
Abstract: The travelling salesman problem (TSP) is a well-known problem in the field of operations research and has applications in many areas including manufacturing and production. This article is a small review of the book titled “In pursuit of the traveling salesman: mathematics at the limits of computation” written by William J. Cook published in 2012 by PRINCETON UNIVERSITY PRESS.
Published in Journal of Production Research & Management · Vol. 4, Issue 3, 2014 · pp. 23–25 Read article