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750 articles for “Mathematical”
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Advanced Computable Extension of New Fractional Kinetic Equation
Abstract: AbstractThe aim of this work is to find advanced computable extension of kinetic equation with fractional calculus approach. Fractional calculus originated in 1695, shortly after the inversion of classical calculus. The pioneer researchers who studied it were Liouville, Riemann, Leibniz, etc. For a long time, fractional calculus has been regarded as a pure mathematical area without applications. But, in recent decades, such type of synergism has been changed. It has …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 74–80 Read article
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Fractional q-Derivative and N2 Function
Abstract: AbstractThe study of fractional q-calculus in this paper serves as a bridge between the fractional q-calculus in the literature and the fractional q-calculus of Special Functions. This paper is devoted to fractional q-derivative of special functions. Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, physics, or other applications in engineering .To begin with the theorem on …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 41–43 Read article
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Fuzzy Logic and Fuzzy Logic Sun Tracking Control
Abstract: Fuzzy logic could be a rule-based call method that seeks to unravel issues wherever the system is tough to model and where ambiguity or unclearness is thick between two extremes. Mathematical logic permits the system to be outlined by logic equations instead of complicated completely differential equations and comes from a thinking that identifies and takes advantage of the greyness between the 2 extremes. Mathematical logic systems are composed of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 3, 2021 · pp. 9–19 Read article
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Evolutionary Perspective for Developing Beyond Abacus
Abstract: Currently, all over the world, teaching math means calculations, crunching numbers mentally, and solving huge number equations in the least time, and not. This research is based on bringing about a change in mathematics education by challenging the existing model of mathematics where being good at calculation or computation is treated as being good at math. In other words, mathematics is currently treated as merely a computational tool. We propose …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 3, 2022 · pp. 39–48 Read article
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Process Control Model of a Simple Water Treatment Plant
Abstract: In everyday life we encounter many interesting but complex processes, and we want to be able to describe these processes in an understandable way. This paper presents a mathematical model for studying the process behavior of a water treatment plant. A state equation was developed as a mathematical model of the process. This mathematical model was used to simulate the effects of varying the parameters of the plant (R, C, …
Published in Trends in Mechanical Engineering & Technology · Vol. 3, Issue 2, 2013 · pp. 29–42 Read article
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Comparative Genomics of Heat Shock Protein in Pathogenic Bacteria
Abstract: Genome comparison has recently become a common research topic in computer science. The development of computer-assisted mathematics (using products such as Mathematica or Matlab) has helped engineers, mathematicians, and computer scientists to start operating in this domain, and a public collection of case studies and demonstrations is growing, ranging from whole genome comparisons to gene expression analysis. This has increased the introduction of different ideas, including concepts from systems and …
Published in Research & Reviews: A Journal of Bioinformatics · Vol. 1, Issue 2, 2014 · pp. 19–34 Read article
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Study on the Variations in Physicochemical Property Concentration in a Contaminated Fresh and Salt Water
Abstract: In this research, the dispersion of crude oil contaminated was subjected into laboratory observations and results were recorded. These results were used to develop and adopt mathematical models for a proper engineering experimental practice. 1.5m3 volumes of fresh water and salt water were filled in two tanks of equal fit at the same intervals along the tanks and depth, where samples were collected for the purpose of analysis of physicochemical …
Published in International Journal of Pollution: Prevention & Control · Vol. 1, Issue 2, 2023 · pp. 1–9 Read article
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Equivalence Patterns in Racing: Examining Findings and Fixed-point Theorems in S-multiplicative Metric Space Integration
Abstract: The idea of equivalency patterns in racing is discussed in the abstract, along with research results and fixed-point theorems in relation to S-multiplicative metric space integration. Being a competitive activity, racing provides a rich environment for researching equivalency trends between rival enterprises. This article examines the dynamics of racing scenarios by exploring the mathematical structure of S-multiplicative metric spaces. The goal of this research is to identify fundamental properties and …
Published in Journal of Advanced Database Management & Systems · Vol. 11, Issue 2, 2024 · pp. 36–42 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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Numerical Solution of Ordinary Differential Equation and Solution of Partial Differential Equation
Abstract: This research paper explores the fundamental role of various mathematical concepts in engineering and scientific fields like aerospace engineering, materials science, software development, and the energy sector. We delve into the applications of solving algebraic and transcendental equations, finite difference interpolation, numerical methods, solutions to ordinary differential equations (ODEs), and numerical solutions to partial differential equations (PDEs). By examining their applications in these diverse fields, we illustrate the critical importance …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 12–20 Read article
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Proposed System: Quantum Computing Processor Based on Linear Number Relation
Abstract: This paper details the design and implementation of a specialized quantum processor tailored for efficiently evaluating custom mathematical formulas. Optimized to perform a specific set of arithmetic and logical operations, this processor delivers a stable and high-performance computing platform. Unlike general-purpose quantum processors, which are designed for versatility across a wide range of algorithms, this dedicated processor aims to enhance performance and accuracy for a targeted set of tasks. The …
Published in Recent Trends in Parallel Computing · Vol. 11, Issue 3, 2024 · pp. 24–32 Read article
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Quantum Key Distribution in Optical Fiber Communication: A Study
Abstract: The relentless march of technological advancements, particularly in the realm of quantum computing, stances a noteworthy threat to security of existing cryptographic systems. Traditional encryption methods, like RSA and AES, trust on mathematical problems considered computationally hard for computers. However, sufficiently powerful quantum computers could render these systems vulnerable to attacks, jeopardizing the confidentiality of sensitive data transmitted over optical fiber networks. This looming threat has spurred significant research and …
Published in Trends in Opto-electro & Optical Communication · Vol. 15, Issue 1, 2025 · pp. 30–40 Read article
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Multicriteria Decision Making using SR-Fuzzy Sets
Abstract: In this study, we introduce and explore square-root fuzzy sets (SR-Fuzzy sets), a novel extension within the realm of fuzzy set theory. We begin by establishing a comparative analysis between SR-Fuzzy sets and two well-known fuzzy set models: Intuitionistic Fuzzy Sets (IFS) and Pythagorean Fuzzy Sets (PFS). This comparison highlights the unique characteristics and mathematical structure of SR-Fuzzy sets. A particular focus is placed on the complement operator, which plays …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 12–20 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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Strategic Optimization of CNC Machining in Production Systems: A Managerial Review of Methods, Metrics, and Industry 4.0 Integration
Abstract: Computer numerical control (CNC) machining has significantly influenced modern production systems by enabling higher efficiency, quality, and sustainability. As industrial operations strive for leaner production and strategic competitiveness, optimization of machining parameters—including cutting speed, feed rate, depth of cut, and tool path strategies—has emerged as a cornerstone of production planning. This review evaluates the optimization methodologies developed from 2015 to 2025, spanning traditional mathematical models to artificial intelligence (AI)-driven metaheuristic …
Published in Journal of Production Research & Management · Vol. 15, Issue 2, 2025 · pp. 25–30 Read article
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Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 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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Inverse Model for Predicting Thermal Abnormality of the Transient Process Triggered by Defective Electronics Element
Abstract: The paper presents a model for predicting thermal abnormalities in Printed Circuit Boards (PCBs) by approximating the thermal process of electric elements with heating from point sources. Circuit board heat sources are defined as point and non-point. The point heat source is a small electronic heating element that can be approximated as having originated from one point on the circuit board. A non-point source is one with heat distributed over …
Published in International Journal of Energy and Thermal Applications · Vol. 3, Issue 2, 2025 · pp. 24–31 Read article
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Assistive Technology Advancements: Revolutionising Support for Individuals with Specific Learning Disabilities
Abstract: Assistive Technology (AT) has become an offer to revolutionise the provision of people with specific Learning Disabilities (SLD), making the learning process more inclusive and equal. In this paper, the current developments in AT will be discussed that cater to fundamental learning issues in reading, writing and mathematics. Text-to-speech and speech-to-text innovations, mind-mapping tools, and others are important innovations that improve reading comprehension and written expression, as well as strength …
Published in International Journal of Trends in Humanities · Vol. 3, Issue 1, 2026 · pp. 1–7 Read article
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An overview of fractal antennas
Abstract: Wireless communication for wireless applications is growing at a faster rate these days. There is a greater need for low-profile, multiband or wideband antennas. With the elevated low-profile antennas are in high demand due to advancements in antenna technology. The fractal antenna's self-similarity and self-repetitive characteristics enable it to satisfy this requirement. I give a thorough overview of fractals in this review paper, going on to discuss their dimensions and …
Published in Journal of Microwave Engineering and Technologies · Vol. 13, Issue 1, 2026 · pp. 1–7 Read article