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79 articles for “mathematical achievement”
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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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Design and Analysis of Energy Efficient Digital Modulation Techniques for Wireless Sensor Networks
Abstract: Wireless sensor networks (WSNs) comprise huge amount of sensor nodes. These sensor nodes are tiny and battery operated, which can’t be replaced and battery is the main power resource for the sensor nodes. Energy efficiency of wireless sensor network is a critical factor, because batteries of sensor nodes can’t be renewable. Nowadays use of Wireless sensor network is at high, so tremendous research is going on to make sensor network …
Published in Recent Trends in Sensor Research & Technology · Vol. 2, Issue 2, 2015 · pp. 21–29 Read article
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VHDL Implementation of 4 Bit Multipliers: Comparative Study with Vedic Multiplier
Abstract: The multiplier and adder are the basic building blocks of ALU of any processor and speed of this processor are greatly depends on these building blocks. The performance of multipliers can be analyzed using its performance parameters like speed, power consumption, complexity, etc. In digital signal processors as well as in general processors high speed can be achieved using this multiplier block. The Vedic multiplier architecture exhibits speed improvements and …
Published in Journal of VLSI Design Tools and Technology · Vol. 5, Issue 3, 2015 · pp. 122–127 Read article
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Enhancing Dimensional Accuracy of Affordable 3D-Printed Objects Via Solid Model Tuning For Industrial Manufacturing
Abstract: In the industrial applications of 3D printing (3DP) technologies, achieving precise dimensional accuracy and precision as well as improving surface quality are essential goals. With a focus on cost-effective engineering applications, this experimental research examines how solid model geometry tuning improves the internal and exterior dimensional accuracy of inexpensive 3DP technologies. Dimensional errors in the X, Y, and Z directions were meticulously measured on 3D parts made using Material Extrusion/Fused …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 201–210 Read article
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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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Comparison of Mamdani and Sugeno Fuzzy Inference Systems for a Three Tank Level Control System
Abstract: The level control of a three tank system has become a research focus due to the nonlinear process and multivariables. It is well known that the conventional controllers are suitable to control linear processes and their design is based on the exact mathematical model. In this paper, we developed a mathematical model for a three tank system and proposed an effective controller design based on fuzzy logic by which more …
Published in Journal of Control & Instrumentation · Vol. 5, Issue 2, 2014 · pp. 14–20 Read article
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Design and Performance Evaluation of PLA-based Umbrella Wheels for Stair-Climbing Robotic Applications
Abstract: Staircase climbing robots require a complex design capable of navigating various stair configurations. A crucial component of such robots is the wheel mechanism. This paper focuses on the umbrella wheel mechanism and its application in staircase climbing robots. In this study, a PLA–based umbrella wheel structure is developed and fabricated using fused deposition modeling (FDM) for application in stair-climbing robots. The umbrella wheel geometry enables transformation from a circular rolling …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 808–824 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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A Study On Hybrid Renewable Energy System
Abstract: The market of sun oriented warm and photovoltaic power age is developing quickly. Novel thoughts on half and half sun oriented innovation develop for a wide scope of uses, for example, in structures, handling plants, and horticulture. In the structure area specifically, the restricted structure space for the convenience of sunlight based gadgets has driven an interest on the utilization of cross breed sun based innovation for the multi age …
Published in Journal of Microelectronics and Solid State Devices · Vol. 8, Issue 2, 2021 · pp. 33–37 Read article
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The Principles and Applications of Structural Symmetry in Natural and Engineered Systems: A Comprehensive Review
Abstract: Structural symmetry is a fundamental constraint across scientific domains, dictating the stability, functionality, and efficiency of systems from the subatomic to the macroscopic. In physics and chemistry, symmetry is mathematically defined through Group Theory, specifically point groups (e.g., Cnv, Oh). These groups govern molecular orbital interactions; high-symmetry configurations, such as the icosahedral C60 fullerene, achieve optimal energy distribution and structural resilience. In Structural Biology, symmetry is an evolutionary strategy for …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 30–34 Read article
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Melanoma Skin Cancer Detection Using Deep Learning
Abstract: Cancer as one of the major diseases rank in the World is still very challenging to diagnose and treat hence need for the technological advancements. Chemotherapy, radiation, as well as surgery therapies have several drawbacks including non-selective action, damage to healthy tissues, and multi-drug resistance. Smart nano-theranostics, an advanced integration of nanotechnology with diagnostic and therapeutic modalities, offers a next-generation approach for precision oncology. Thus, the development of multifunctional nanoparticles …
Published in Research and Reviews: Journal of Oncology and Hematology · Vol. 14, Issue 2, 2025 Read article
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Machine Learning-Based Channel Estimation in 5G, Beyond-5G, and 6G Networks: Recent Advances and Future Directions
Abstract: Accurate channel estimation is one of the most fundamental challenges in modern wireless communication systems. In fifth- generation (5G) New Radio (NR) and emerging sixth-generation (6G) networks, precise knowledge of the wireless channel is essential for achieving reliable data transmission, high spectral efficiency, and low Bit Error Rate (BER). Conventional estimation techniques such as Least Squares (LS) and Minimum Mean Square Error (MMSE) rely on mathematical channel models and predefined …
Published in Journal of Telecommunication, Switching Systems and Networks · Vol. 13, Issue 2, 2026 Read article
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A Comorbid Algorithm to Significantly Compress Text Contents of Several Web Pages in Conformational Dynamics
Abstract: In this paper, we presented and achieved the compressing scheme of the textual language contents of several web pages. It presents a validation approach of detected alignment links between characters within the transcript through the mathematical transformation of a multimodal document framework of multimedia features. This entailment process exploits several features, from the structural level of the computational linguistics and its tokens. The obtained results provide the future foundation of …
Published in Journal of Multimedia Technology & Recent Advancements · Vol. 1, Issue 2, 2014 · pp. 1–3 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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Comparison of Different Modulation Techniques for High Bandwidth Visible Light Communication
Abstract: Visible light communication (VLC) has gained tremendous importance due to its potential for ease, effectiveness and long lifetime. Slow response of phosphorescent components limits the modulation bandwidth of the white LED to the lower MHz range. Different modulation techniques have been used for VLC to achieve extended bandwidth, high data rate and bit-error-ratio within the forward error correction limit. This paper represents comparison of three different modulations techniques used for …
Published in Recent Trends in Electronics Communication Systems · Vol. 2, Issue 3, 2015 · pp. 32–38 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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Performance Analysis of Deep CNN Architectures
Abstract: A Convolutional Neural Network (CNN) is an artificial neural network renowned for its remarkable ability to handle large image datasets effectively, particularly excelling in tasks such as image recognition and classification. The fundamental structure of a CNN relies on mathematical convolution operations, comprising essential components such as convolutional layers, activation functions, pooling layers, and fully connected layers. These components work synergistically to extract and learn hierarchical features from input data, …
Published in Journal of Communication Engineering & Systems · Vol. 14, Issue 2, 2024 · pp. 1–8 Read article
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Intimate Mappings in Interval-Valued Fuzzy Metric Space: A Few Fixed-Point Findings
Abstract: The purpose of this study is to extend some previously established fixed point results for interval valued fuzzy metric space. For this objective, various contractive criteria with respect to an intimate mapping are applied. We employ intimate mapping in interval valued fuzzy metric space (IVFMS) to validate some well-known fixed point results. Our findings complement and generalize the recent findings of the common fixed point theorem for intimate mapping. The …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 16–23 Read article
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STUDY ON EFFECT OF END MILLING PARAMETERS ON CUTTING FORCES USING RESPONSE SURFACE METHOD
Abstract: Now a day’s research over improvement of surface roughness on mechanical elements has become quite significant in the operational and aesthetical point of view. To enhance accuracy and precision, manufacturing firms are adopting automated systems in order to achieve manufacturing excellence. In the present work the effect of various process parameters like spindle speed, feed and cutting fluid composition on cutting forces in End milling process is investigated by using …
Published in Trends in Mechanical Engineering & Technology · Vol. 8, Issue 2, 2018 · pp. 62–72 Read article
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DC Motor Control using Deep Reinforcement Learning for Enhanced Robustness and Precision
Abstract: DC motors remain the workhorse of industrial automation and mobile robotics, but achieving simultaneous high-speed transient response and negligible steady-state error under variable load conditions continues to challenge classical Proportional-Integral-Derivative (PID) controllers. These model-dependent systems often require extensive tuning and struggle to maintain optimal performance when confronted with parametric uncertainties, non-linear friction, or sudden voltage fluctuations. This study presents a novel, model-free control paradigm utilizing Deep Reinforcement Learning (DRL)—specifically, a …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 3, Issue 2, 2025 · pp. 22–29 Read article