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224 articles for “Linear”
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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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Performance of Some Modified Ordinary Ridge Regression Estimators
Abstract: In multiple linear regressions, if the data suffer from severe multicollinearity, then the ordinary least squares (OLS) method become more sensitive to it, and in such a case OLS could yield wrong sign for some of the regression coefficients. Therefore, when such a situation arises, we could use one of the biased regression methods viz., ridge regression, principal component regression, and so on, as an alternative method to OLS. This …
Published in Research & Reviews : Journal of Statistics Read article
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Fire Monitoring and Suppression System for a Car using by Automation and Existing Technology
Abstract: Fire Monitoring and Suppression System for a car using Automation and Existing Technology presents a comprehensive review of fire monitoring and suppression systems for vehicles. The Project aims to explore the causes of vehicle fires, existing technologies for fire detection and suppression, and a proposed working model for implementing fire safety measures in automobiles. The literature review within the project provides a thorough analysis of the primary causes of fires …
Published in Journal of Industrial Safety Engineering · Vol. 11, Issue 1, 2024 · pp. 1–10 Read article
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Effect of Bismuth doping on Thiourea crystals : A NLO Material
Abstract: Single crystals of pure and thiourea-substituted bismuth were successfully grown using the slow evaporation solution growth technique at ambient temperature. The impact of thiourea doping on the crystal properties was thoroughly investigated. Solubility tests for the grown samples were conducted at various temperatures, providing crucial data on the dissolution characteristics. Structural characterization of these crystals was performed using single crystal X-ray diffraction (XRD), confirming their crystalline nature. Energy-dispersive X-ray spectroscopy …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 15, Issue 2, 2024 · pp. 10–16 Read article
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HPTLC Method Development and Validation for Rabeprazole Sodium in Pharmaceutical Formulation
Abstract: Background: The most common medication for acid related disorders stands as Proton pump inhibitor (PPI) Rabeprazole Sodium. The pharmaceutical formulations require essential quality control of Rabeprazole Sodium through reliable analytical methods to maintain reliability. HPTLC provides a cost-effective rapid method for drug quantification compared to conventional HPLC methods so how HPTLC stands as an appropriate method for drug determination. Objective: The emphasis of this research project involves developing and validating …
Published in Research and Reviews: A Journal of Pharmaceutical Science · Vol. 16, Issue 2, 2025 · pp. 18–24 Read article
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A Review Paper on The Mathematical Foundations of Artificial Intelligence
Abstract: Artificial Intelligence (AI) is deeply rooted in various branches of mathematics, which provide the theoretical foundation and practical tools for developing intelligent systems. This paper explores the crucial role of mathematics in AI, focusing on key areas such as Linear Algebra, Probability and Statistics, Optimization Techniques, Calculus, Graph Theory, and Fourier and Wavelet Transforms. Linear Algebra is fundamental for representing and manipulating data, with applications in dimensionality reduction and neural …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 7–14 Read article
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Google Play Store Analysis
Abstract: Google play store consists of millions of applications and several thousand apps are added on the play store every day. The competition is so fierce that it is really difficult for the developers to find out whether the app that is the product of his hard work is going to be successful or not. The main goal of the study is to create a tool that helps developers and organizations …
Published in Journal of Open Source Developments Read article
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Searching Substring in O(n) Time Complexity
Abstract: This research paper presents a highly efficient algorithm for substring search within a given string, achieving a remarkable time complexity of O(n). The proposed algorithm utilizes a two-pointer approach to compare the given string with the targeted substring. By employing string concatenation, the algorithm dynamically constructs a resultant substring during the matching process. Upon completion of character matching, the algorithm compares the resultant substring with the targeted substring and returns …
Published in International Journal of Algorithms Design and Analysis Review · Vol. 1, Issue 1, 2023 · pp. 9–15 Read article
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A novel similarity measure for interval value picture fuzzy Environment and extended TOPSIS
Abstract: Correct decision-making is the most arduous task in our daily life. The decisions are hard to make in the multi-criteria decision-making (MCDM) problems due to ambiguous and unexpected information. In order to cope with such uncertainties in the data, a new decision-making approach has been developed using a newly defined similarity measure under the framework of interval-valued picture fuzzy set (IVPFS), as an extension of picture fuzzy sets (PFS). In …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 · pp. 1–10 Read article
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Animated Transient Response of High Voltage Power Line Towers Equipped with Nonlinear Footing Resistances
Abstract: This study focuses, among other objectives, on the use of animation techniques for visualizing the electromagnetic transients in high voltage power line towers. The model includes parameters such as the tower’s footing resistance and its location-dependent surge impedance. It describes the governing algebraic/partial differential equations expressed in terms of the current and voltage distributions as functions of time and location. The transients are assumed initiated by a lightning discharge of …
Published in Trends in Electrical Engineering · Vol. 14, Issue 1, 2024 · pp. 44–52 Read article
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Measurement of Farm Efficiency in Agricultural Sector of India:A Study
Abstract: While the non-parametric production function is based on linear programming, the parametric production function is estimated using stochastic frontier analysis (SFA). The efficiency is assessed using a non-parametric technique known as Data Envelopment Analysis (DEA) (Charnes, Cooper, & Rhodes, 1978).. The primary benefit of the DEA technique is that it circumvents certain drawbacks of the parametric approach by requiring simply a little portion of a priori assumptions about the functional …
Published in Research and Reviews : Journal of Crop science and Technology · Vol. 13, Issue 1, 2024 Read article
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Crop Yield Prediction Using Machine Learning Algorithm Based on Climate Variables
Abstract: India's economy is based primarily on agriculture, as over 50% of the country's population depends on it for their livelihood. The long-term viability of agriculture is seriously threatened by variations in the weather, climate, and other environmental factors. Because machine learning provides tools for decision assistance in agricultural yield prediction, including guidance on which crops to plant and when to plant them during the growing season, it is essential to …
Published in International Journal of Cheminformatics · Vol. 1, Issue 2, 2023 · pp. 49–52 Read article
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Fluid-Structure Interaction Simulation of Parachute by Eulerian-Lagrangian penalty method
Abstract: In general, modeling and simulation of a model consisting of fluid and solid combinations has been considered difficult, and it has become impossible in terms of computer dependencies and accuracy to be analyzed by Fluent or other programs. The parachute evaluation process, which is historically based on a large amount of experimental data, necessitates many falling experiments. These tests can be costly and time-consuming, and they don't always allow for …
Published in Recent Trends in Fluid Mechanics · Vol. 11, Issue 2, 2024 · pp. 15–22 Read article
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Thevenin Impedance Networks for Spice Simulation Using Analog Behavioural Modelling
Abstract: PSPICE/OrCAD software analog behavioral modeling (FREQ) option is used to obtain equivalent circuits for Thevenin equivalent resistance to be used for three types of applications for different circuits (other different networks with these Thevenin models at DC), and Spice files are described to simulation circuits with AC analyses. Three different applications are useful in linear integrated circuits using DC Thevenin resistance of two networks are considered. Firstly, the DC Thevenin …
Published in Journal of VLSI Design Tools and Technology · Vol. 14, Issue 3, 2024 · pp. 39–46 Read article
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Enhancing Ship Roll Stabilization: Design of Active Fin Stabilizers Using Auto-Tuned PID Controllers
Abstract: The rolling motion of any type of mechanical system can be realized by the linear differential equation with some constant coefficient. In the domain of marine industries, it is observed that the stabilization of the ship’s roll motion is required due to the occurrence of the most unwanted water wave disturbances at the sea. It may cause serious types of damage to the equipment related to the ship. Active fin …
Published in Journal of Experimental & Applied Mechanics · Vol. 15, Issue 3, 2024 · pp. 18–31 Read article
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Genetic Variability and Statistical Methods: Key Insights for Computational Genetics Research
Abstract: Genetic variability, defined as the differences in DNA sequences among individuals, serves as the foundation of evolutionary biology and plays a pivotal role in species’ adaptability, resilience, and overall survival. Advances in genomic technologies, particularly high-throughput sequencing, have enabled unprecedented exploration of genetic diversity, fostering the growth of computational genetics. This interdisciplinary field combines statistical methods and computational tools to analyze genetic data, identify patterns, and link phenotypes to genotypes. …
Published in Research and Reviews : Journal of Computational Biology · Vol. 13, Issue 3, 2024 · pp. 19–23 Read article
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Analytical Method Development and Validation of Simultaneous Estimation of Natural Active Constituents Andrographolide and Piperine by UV Method.
Abstract: A simple, accurate, precise, and robust UV-Visible spectrophotometric method was developed and validated for the simultaneous estimation of Andrographolide and Piperine in bulk and combined pharmaceutical dosage forms. Preformulation studies confirmed favorable physicochemical properties for both drugs, including acceptable solubility profiles, melting points, pH values, and partition coefficients. The method development involved determination of λmax values at 224 nm for Andrographolide and 288 nm for Piperine using ethanol as solvent. …
Published in Research & Reviews: A Journal of Pharmacognosy · Vol. 12, Issue 3, 2025 · pp. 33–41 Read article
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Temperature-Dependent Viscoelastic Response of Magnetorheological Grease with Varying Particle Shapes
Abstract: This study examines the effect of temperatures on the magnetic and rheological properties of magnetorheological greases (MRGs) comprised of different particle shapes, under oscillatory shear mode test. Two samples were prepared with 70 wt.% flake-shaped electrolytic iron particles (EIP) and spherical carbonyl iron particles (CIP) which dispersed in 30 wt.% lithium-based grease, separately. Respective to magnetic properties test, the vibrating sample magnetometry (VSM) revealed that MRG-EIP exhibited 11.4% higher magnetic …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 139–147 Read article
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Electro Magnetic Force based Train
Abstract: The swift advancement in transportation technology encouraged scientists to seek out faster and eco-friendly propulsion techniques. The majority of transportation systems depend on mechanical engines and wheel-axle setups that generate friction, noise and energy dissipation. Because of these drawbacks there is potential for propulsion approaches. A contemporary technique is propulsion, which utilizes electromagnetic forces rather, than traditional mechanical movement. This research paper addresses the design and operation of a train …
Published in Trends in Mechanical Engineering & Technology · Vol. 16, Issue 1, 2026 · pp. 37–45 Read article
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Thermal Performance Analysis and Optimization of Pin-Fin Heat Sink Using CFD, Taguchi Method, and Machine Learning
Abstract: Efficient thermal management is essential for improving the performance and reliability of modern engineering systems and electronic devices. This study presents the design, simulation, and optimization of a pin-fin heat sink using SolidWorks for three-dimensional modeling and ANSYS for thermal and computational fluid dynamics (CFD) analysis. Four different pin-fin geometries, namely square, pentagon, octagon, and circular fins, are considered to evaluate their thermal performance under varying operating conditions. Aluminum is …
Published in Trends in Mechanical Engineering & Technology · Vol. 16, Issue 2, 2026 Read article