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26 articles for “mathematical array.”
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Continuity and Limit Value of Functions
Abstract: Limit value is one of the basic concepts of mathematical analysis. The notion of limit value defines continuity, mathematical derivatives and integrals. The limit value of the sequence and the limit value of the function are different. The limit value describes the number to which the value of the function or the value of the member of the mathematical array weighs, when the argument of the function or the index …
Published in Research & Reviews : Journal of Statistics · Vol. 10, Issue 1, 2021 · pp. 1–6 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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Accelerating High Arithmetic Intensity Storm Surge Model using CUDA
Abstract: GPUs (Graphic Processing Units) have opened the floodgates for high-performance computing, especially for programs that involve high-level arithmetic computations. Though parallel computing capability has been around for many years, it requires large and expensive hardware resources in the form of supercomputers. Presently, GPUs are found in all computing devices due to their reasonable prices. GPUs are now being tapped for speeding up legacy codes, especially in FORTRAN that involves high …
Published in Recent Trends in Parallel Computing · Vol. 3, Issue 2, 2016 · pp. 9–21 Read article
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Modelling and Control of Grid-Connected PV–Battery Hybrid System Using Dynamic Voltage Restorer for Enhanced Power Quality
Abstract: The integration of large-scale photovoltaic (PV) systems into modern power grids introduces significant challenges in maintaining power quality, including voltage sags, swells, and harmonics. To address these issues, this study presents a comprehensive modelling and control framework for a grid-connected PV–Battery hybrid system equipped with a Dynamic Voltage Restorer (DVR). The PV array is modelled using detailed mathematical equations, while the DC–DC converter incorporates advanced Maximum Power Point Tracking (MPPT) …
Published in International Journal of Electrical Power and Machine Systems · Vol. 3, Issue 2, 2025 · pp. 43–58 Read article
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Synthesis of Linear Arrays to Generate Difference Patterns for Radar Tracking Applications
Abstract: In this paper, we have proposed a non-uniform amplitude distribution method to generate difference patterns with low side lobe level of linear arrays for tracking applications. In the literature, most of the work has been attempted on the sum patterns. But, in the radar tracking applications difference patterns has been played very important role. In view of that, intensive investigations are carried out to produce difference patterns with low sidelobes. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 2, 2015 · pp. 1–4 Read article
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Parametric Optimization of TIG Welding on AISI-304 Stainless Steel Plate by Taguchi based RSM Method
Abstract: The effect of process parameters of TIG welding like the present work focuses the findings of an experimental investigation into the effects of Welding current, Gas flow rate, Electrode diameter, and Root gap on the bead geometry of AISI-304. It is found that the process parameters considered affected the mechanical properties with great extent. Taguchi methodology is used to analyze the effect of each welding process parameters and optimal process …
Published in Trends in Machine design · Vol. 4, Issue 2, 2017 · pp. 30–40 Read article
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Empowering Minds: Fostering Critical Thinking through Mathematics Teaching
Abstract: In academic and professional realms, critical thinking emerges as a paramount skill, yet numerous students encounter challenges in honing it effectively. The realm of mathematics education presents a unique platform to foster critical thinking abilities, as it compels students to tackle intricate problems using logical reasoning and evidence-based methodologies. This research paper comprehensively reviews the correlation between critical thinking and mathematics teaching, providing exemplars of impactful teaching strategies that effectively …
Published in Research and Reviews: A Journal of Neuroscience · Vol. 13, Issue 3, 2023 · pp. 19–25 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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Analysis of Machining Parameters in Wire EDM with Aluminum Alloy Using PCA and TOPSIS Approach
Abstract: Although the efficiency of traditional cutting processes is inadequate by the mechanical properties of the processed material and the intricacy of the work piece geometry, electrical discharge machining (EDM) being a thermal erosion process, is subject to no such limitations. This paper summaries the suitable use of Taguchi’s L27 orthogonal array which takes 27 experimental runs to develop a mathematical model for correlating the interactive and higher order impacts of …
Published in Journal of Mechatronics and Automation · Vol. 4, Issue 2, 2017 · pp. 1–11 Read article
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The Rise of Fractional Calculus: Novel Applications in Engineering and Biological Systems
Abstract: Fractional calculus (FC) is an advanced mathematical framework that generalizes the classical concepts of differentiation and integration to non-integer, or fractional, orders. This extension of traditional calculus allows for the modeling of complex dynamic systems that exhibit behavior not easily captured by integer-order differential equations. Over the last few decades, fractional calculus has seen a rapid rise in popularity, particularly in applied mathematics, engineering, and biological sciences, due to its …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 7–11 Read article
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Orthodontic Forces and Moments: Mathematical Basics
Abstract: Although clinicians have started using very refined and stabilized fixed orthodontic appliances. The physical concepts that form the foundation of orthodontic mechanics are the key in understanding how orthodontic appliances work. The principles are not unique to orthodontics but are basic to the science of static mechanics. Biomechanics is the stud y of mechanics as it affects the biologic systems. It is the application of mechanics to the tooth movements …
Published in Research and Reviews: A Journal of Dentistry · Vol. 6, Issue 2, 2015 · pp. 7–14 Read article
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Design and Implementation of 256-bit Vedic Multiplier on Reconfigurable Platform
Abstract: Multiplication is a fundamental arithmetic operation in digital signal processing and embedded systems. Traditional multiplier architectures often suffer from increased latency and resource utilization when scaled to higher bit widths. Vedic Mathematics, an ancient Indian technique, offers a novel and efficient alternative. This paper presents the design and implementation of a 256-bit Vedic multiplier using the Urdhva Tiryakbhyam Sutra on a reconfigurable hardware platform, specifically FPGA. The proposed architecture decomposes …
Published in Journal of Materials & Metallurgical Engineering · Vol. 15, Issue 3, 2025 · pp. 56–65 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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Power Estimation Approach for Artix 7 FPGA using Machine Learning Technique
Abstract: Abstract This paper presents the power estimation approach using a suitable machine learning technique. Artix7 FPGA has been chosen as the target FPGA (Field Programmable Gate Arrays) platform for understanding the methodology of power estimation. There are various approaches of power estimation for FPGAs that have been given in the literature viz. probabilistic, statistical, and LUT-based, etc. In the past few years, the demand for hand-handled devices like smartphones, tabs, …
Published in Research & Reviews: A Journal of Embedded System & Applications · Vol. 9, Issue 1, 2021 · pp. 1–5 Read article
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Exploring Antimalarial Activity of Chalcone Derivatives through QSAR
Abstract: Background: The core structure of chalcones contains a reactive α,β-unsaturated system within the aromatic rings, which plays a key role in mediating various biological effects. These effects include enzyme inhibition, anticancer activity, anti-inflammatory properties, as well as antibacterial, antifungal, antimalarial, antiprotozoal, and anti-filarial actions.Modifying the structure by introducing substituent groups to the aromatic ring can enhance potency, reduce toxicity, and expand their range of pharmacological actions.Methods: A total of twenty-seven …
Published in International Journal of Bioinformatics and Computational Biology · Vol. 3, Issue 2, 2025 · pp. 1–6 Read article
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Optimization of Turning Parameters of EN-36 for Material Removal Rate and Tool Life based on Taguchi and RSM Method
Abstract: In this experimental study the effect of cutting parameters on material removal rate (MRR) and tool wear rate (TWR) during turning of EN-36 material on turning machine is determined. In this work, firstly, all the cutting parameters namely, spindle speed (SS), feed rate (FR) and depth of cut (DOC) are designed by using suitable orthogonal array in Taguchi method. The experimental studies were accompanied under the varying spindle speed, feed …
Published in Journal of Mechatronics and Automation · Vol. 3, Issue 1, 2016 · pp. 14–24 Read article
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Maximum Power Point Tracker and its model in MATLAB
Abstract: The study says that In a (Power-Voltage or current-voltage) curve of a solar panel, there is an optimum operating point such that the PV delivers the maximum possible power to the load. This unique point is the maximum power point (MPP) of solar panel. Its mathematical models of the components of PV module that is MPPT model uses the MPPT control unit, and Buck- Boost converter to implement a simulation …
Published in Journal of VLSI Design Tools and Technology · Vol. 9, Issue 3, 2019 · pp. 26–31 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
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MATLAB/Simulink Based Modelling of Solar Photovoltaic Cell
Abstract: AbstractThis paper focuses on a Matlab/SIMULINK model of a 36 cell/72 cell solar photovoltaic cell. This comprehensive Solar Photovoltaic model has been built on mathematical equations and improved through an analogical circuit connecting a photocurrent source and a diode, connecting through a series resistor and a shunt resistor. The developed model assists in the predicting and analyzing the behaviour and properties of PV cell/PV module under different physical and environmental …
Published in Journal of Microcontroller Engineering and Applications · Vol. 5, Issue 3, 2018 · pp. 21–28 Read article
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Comparative Analysis of Partial Product Addition in Vedic Urdhva Tiryakbhyam Multiplier
Abstract: Multiplication is one of important operations performed in many digital signal processing applications. Hence the performance of the multiplier will affect the overall performance of the DSP processor. The methods like booth multiplier, and array multiplier are used. Vedic multiplication technique had proved its importance in getting the speed of multiplication. It is required to add the generated partial products quickly, to generate the result of multiplication faster. To add …
Published in Journal of VLSI Design Tools and Technology · Vol. 13, Issue 1, 2023 · pp. 15–32 Read article