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750 articles for “Mathematical”
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Differential Model of Wave Vibration on Strings and Rods
Abstract: Vibration, as a physical phenomenon, plays a multifaceted role in both natural and engineered systems. Beyond its essential contribution to communication through sound and speech, it finds critical application in various technological domains. For instance, in the design of stringed musical instruments such as violins and guitars, precise manipulation of string vibrations defines tonal quality and musical resonance. Similarly, metal rods in tuning forks exhibit vibrational properties that are finely …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 1, 2025 · pp. 17–21 Read article
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Improving Indoor Room Air Conditioning Using PID Control
Abstract: Energy use in building air conditioning contributes significantly to power demand; therefore, in this work, we propose an improved methodology to achieve comfort conditions through PID control assistance. The project develops a mathematical model based on analytical heat transfer equations for comfort conditions by fulfilling the Fanger equation, considering environmental parameters (ambient temperature), metabolic rate, and people’s physical activity (internal heat generation) to reduce power consumption and improve energy efficiency. …
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 12, Issue 1, 2025 · pp. 1–21 Read article
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An Experimental Investigation of Process Parameters for Aluminum Alloy Composites
Abstract: The objectives of this work are to develop an aluminum alloy composites and investigate machining process parameters effect on the tool wear rate for composites. The composite is enhanced using silicon carbide and graphite. The composite is made by a method called stir casting. Furthermore, it is investigated both mathematically and experimentally. This study takes trial on aluminum alloy composite to see output characteristics tool wear rate are affected by …
Published in Journal of Polymer & Composites · Vol. 13, Issue 4, 2025 · pp. 185–193 Read article
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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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Molecular Transport Kinetics of Non-Polar Solvents Through AGNP Filled EPDM Elastomeric Composites
Abstract: EPDM Based rubber composites can be used in tank and pipe lining works. In these applications one of the major requirements is that the composite must have good fluid permeability and chemical degradation resistances in their working environment. In order to enhance the performance of EPDM rubber to suit these applications, scientists and engineers are trying to develop novel nanocomposites by incorporating nano fillers. In the present work, to ensure …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 993–1006 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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Breaking Barriers: Overcoming Challenges for Women in STEM in India-A Conceptual Perspective
Abstract: STEM education which brings together Science, Technology, Engineering, and Mathematics has become the foundation for success in today’s fast-changing, technology-driven world. It helps students think critically, solve real-world problems, and adapt to new innovations like artificial intelligence, robotics, data science, and biotechnology. In a country like India, where digital transformation is reshaping every sector, STEM education is not just an academic choice but a key to national growth and progress. …
Published in International Journal of Education Sciences · Vol. 3, Issue 2, 2026 · pp. 8–13 Read article
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Tubular Linear Induction Motors
Abstract: In this paper a mathematical model of tubular linear induction machines (TLIM) with hollowed induced part is recalled. Moreover, the design criteria of a TLIM with hollowed iron induced part are presented as well as the technological processes to be adopted and the choice of materials to construct the various parts. The methodologies for mechanical assembling and electric wiring are considered too. A prototype with bimetallic induced part has been …
Published in Journal of Mechatronics and Automation · Vol. 7, Issue 3, 2020 · pp. 28–32 Read article
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Modernized Art for a Smarter Environment
Abstract: Gesture recognition is a technology that uses the mathematical algorithms to identify human gestures. Gesture recognition recognizes the hand, tracks its movements, and provides information about hand position, orientation, and finger flux. This research work describes a sophisticated and user-friendly Human Computer Interaction (HCI) technology that employs the Raspberry Pi to easily translate user intentions into corresponding commands and output. The proposed system overcomes the disadvantages present in the existing …
Published in Research & Reviews: A Journal of Embedded System & Applications · Vol. 10, Issue 1, 2022 · pp. 7–14 Read article
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Transport Phenomena of Hepatitis B with Special Reference to Jacobian Matrix in the Null Space
Abstract: A mathematical model representing the transmission dynamics of Hepatitis B virus was presented with system of non-linear differential equations which explain the interaction of Acute, Chronic, Recovered, Treatment, Vaccinated classes of the infection with another epidemiological parameter. The aim of this work is to carry out detailed sensitivity analysis of the model parameters. The disease-free equilibrium points and basic reproduction number of the cases were analyzed. Sensitivity analysis of R0 …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 1, 2022 · pp. 16–22 Read article
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A Journey through Fixed Points and Non-expansive Mappings
Abstract: Fixed points in non-expansive mappings are elements that remain unchanged under the action of the mapping. Non-expansive mappings preserve or contract distances in a metric space. The rigorous proof of the Banach fixed-point theorem is presented at the outset of the paper, highlighting its fundamental significance. According to this theorem, every contraction mapping (a particular kind of non-expansive mapping that strictly reduces distances) has a single fixed point in a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Exploration of Partial Order Structures in Menger Spaces Properties Characterizations and Applications
Abstract: Partial order structures play a crucial role in understanding the intricate relationships within mathematical spaces. In this paper, we delve into the realm of Menger spaces and investigate their properties through the lens of partial orders. Menger spaces, a generalization of metric spaces, possess unique characteristics that can be further elucidated by considering partial order structures. Through rigorous analysis, we explore various properties of partial order Menger spaces, including topological …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 17–22 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 · pp. 1–9 Read article
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Dynamic Cellular Manufacturing System: A Review
Abstract: Cell-formation procedures ignore any changes in demand over time caused by product redesign and uncertainties due to volume variation, part mix variation and resource unreliability till today. Nowadays for business environment product life cycles are short, demand volumes and product mix can vary frequently, in this context Cellular Manufacturing System (CMS) configuration for a period might not be an optimal or even not to be feasible for the next periods …
Published in Journal of Production Research & Management · Vol. 4, Issue 2, 2014 · pp. 1–11 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
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The Numerical Calculation of the Behavior of the Gas Bubble, Fixed on the Solid Surface
Abstract: The existing literature data permit only qualitatively to trace the behavior of gas bubble, fixed on the solid surface, with the narrow range of Bond numbers (β). For investigation of the profiles, common surface energy of gas bubbles and equilibrium of forces, which retain bubbles on the solid surface in the fluid, the computer model of numerical calculation of the profile, surface square, volume of the gas bubble, fixed on …
Published in Recent Trends in Fluid Mechanics · Vol. 6, Issue 2, 2019 · pp. 40–46 Read article
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Electro-viscous effect on rotating disk flow with variable physical properties
Abstract: In this study, investigate are made for an unsteady flow across a rotating disk with various physical parameters. Consider the movement of a viscous fluid across a three-dimensional disk. The major goal of the current mathematical form is to look at the behavior of an ionic convey electrically viscous flow of boundary layer on a spinning disk with different physical characteristics. To mimic ionic species conservation, the Poisson equation and …
Published in Recent Trends in Fluid Mechanics · Vol. 9, Issue 3, 2022 · pp. 1–11 Read article
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Effectiveness of Practice-Based Professional Development in Enhancing Stem Teachers
Abstract: STEM is about science technology engineering and math all put together in school work. Small group talks are seen as a good way to help students learn in these classes but it depends on things like how much the teacher knows about the topic and whether they feel ready to lead the talks. We looked at photovoltaics for this which mixes all the STEM areas and connects to solar power …
Published in International Journal of Trends in Humanities · Vol. 3, Issue 2, 2026 · pp. 30–35 Read article
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Discrete Encryption
Abstract: The present work will be directed the future plan towards the security. This study is presented as the application of the fuzzy set and cryptography both. Zadeh’s contribution was the landmark in the development of real mathematical application but today this has been applied in almost every field of the society. Hard mathematical problem interacts with the security of any cryptography. Such mathematical problems are; factorization, discrete logarithm, lattice, quantum …
Published in Journal of Software Engineering Tools & Technology Trends · Vol. 7, Issue 2, 2020 · pp. 11–12 Read article
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An Ecology Equation
Abstract: The conservation of ecology is reviewed by an equation. Ecology is studied in this paper via mathematics. This paper presents an equation of ecology. The objective of this paper is to solve the problems of nature by the mathematical concept. The mathematical transformation of natural phenomenon for analyzing the hidden rules of the nature is the key objective of this paper. The theory of sets, function and its application based …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 18–20 Read article