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750 articles for “Mathematical”
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Inductive Turing Machines of Higher Orders: Computability, Acceptability and Decidability
Abstract: In this paper, the basic forms of information processing by inductive Turing machines of the order n are explored where n 1. It is demonstrated that different types of acceptability, recognizability, and computability of sets and formal languages by inductive Turing machines of the order n are equivalent. This allows high flexibility in modeling functioning of computers and computer networks by choosing the better suited forms of information processing. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 10–26 Read article
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A Comparative Study to Control Coronavirus Disease COVID-19 with Treated Saturated Incidence Rate Using SIQR Model
Abstract: This paper aims at comparative study of SIQR epidemic model for coronavirus disease (COVID-19) with different treated saturated incidence rates. For the better understanding of this severe disease quarantine class is presented as sum of quarantine for susceptible individuals and quarantine from infected individuals. The Basic reproduction (R0) for different saturated incidence is found by using Next generation method. Different equilibrium points are calculated, and their conditions of existence are …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 3, 2021 · pp. 1–8 Read article
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Graph Theory: Its Importance and Application in Recent development of Science and Engineering
Abstract: Graph Theory is widely used in all the basic sciences including social science, due to its intrinsic simplicity it has got a lot of application in computer science, computer networks, engineering, genetics, data structure etc. Graphs are nothing but mathematical structure that helps in representing our everyday problem in a precise graphical manner. Graph Theory is the area of applied mathematics that deals with the study of objects and the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 31–36 Read article
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Implementation of Load Flow Analysis using NR method
Abstract: Load flow studies are one of the most important aspects of power system analysis and design. This paper presents an optimal analysis technique for load flow analysis using Newton Raphson Algorithm for solving set of nonlinear equations. The main objective of load flow analysis is to evaluate the magnitude and phase angle of voltage at each bus as well as real and reactive power flowing in each transmission line. For …
Published in Journal of Advancements in Robotics · Vol. 2, Issue 3, 2015 · pp. 8–13 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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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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Spectral Intuitionistic Fuzzy Hypergraph Operators and Dominance Kernels for Resilient Discrete Network Design
Abstract: A new discrete-mathematical framework is developed for resilient network design on intuitionistic fuzzy hypergraphs, where uncertainty is explicitly represented through membership, non-membership, and hesitation degrees associated with both vertices and hyperedges. These three components are systematically integrated into an effective incidence operator that captures the underlying uncertain relationships within complex hypergraph structures. Based on this operator, both un-normalised and normalized Laplacian matrices are formulated to characterize the spectral properties and …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 41–48 Read article
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Design and Analysis of Single Angle Expanding Collets
Abstract: The subject of production deals with the use of fixtures that ensures repeatability to the work piece to be manufactured. The fixture is clamping device that mounts parts at a perfect location and gives stability, which leads to mass production. Thus types of clamping play a decisive role in getting the good reliability of the product. Collet is one of the clamping devices which have long slits around its periphery, …
Published in Journal of Experimental & Applied Mechanics · Vol. 8, Issue 2, 2017 · pp. 1–12 Read article
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Wireless Sensor Networks Simulation
Abstract: The formidable growth of Wireless Sensor Network (WSN) research has raised challenging issues of examining the micro behaviour of proposed protocol and carrying out its performance evaluation. The methodologies to realize this is: mathematical modelling; experimentation and simulation. For WSNs, experimentation has financial constraints and mathematical modelling at times requires deep expertise in mathematics. Thus simulation has become the first choice for research in WSNs. There are several researchers using …
Published in Journal of Electronic Design Technology · Vol. 5, Issue 2, 2014 · pp. 1–8 Read article
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Effect of Process Parameters of Pulsed Current Micro Plasma Arc Welding on Weld Pool Geometry of AISI 304L Stainless Steel Sheets
Abstract: AISI 304L stainless steel is an austenitic Chromium-Nickel stainless steel offering an optimum combination of corrosion resistance, strength, and ductility. These attributes make it a favorite for many mechanical components. The low carbon content reduces susceptibility to carbide precipitation during welding. The effects of pulsing current parameters on weld pool geometry namely front width, back width, front height, and back height of pulsed current micro plasma arc-welded AISI 304L stainless …
Published in Journal of Materials & Metallurgical Engineering · Vol. 2, Issue 1-3, 2012 · pp. 105–116 Read article
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Establishing Empirical Relationships to Predict Grain Size and Hardness of Pulsed Current Microplasma Arc Welded Inconel 625 Sheets
Abstract: Nickel alloys have gathered wide acceptance in the fabrication of components, which require high temperature resistance and corrosion resistance, such as metallic bellows used in expansion joints in aircraft, aerospace and petroleum industry. In case of single pass welding of thinner sections of this alloy, pulsed current microplasma arc welding was found beneficial due to its advantages over the conventional continuous current process. The paper focuses on developing mathematical models …
Published in Journal of Materials & Metallurgical Engineering · Vol. 1, Issue 1-3, 2011 · pp. 37–47 Read article
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Optimization algorithms for multi objective problems and its application to sustainable sources for supplementing energy crisis
Abstract: Optimization, also called mathematical programming, is a collection of mathematical ideas and techniques used to solve quantitative issues in a variety of areas, including physics, biology, architecture, economics, and business. The subject evolved out of the recognition that quantitative issues in apparently disparate disciplines share significant mathematical features. As a result of this similarity, a wide variety of issues can be articulated and solved utilising the unified set of concepts …
Published in Journal of Microelectronics and Solid State Devices · Vol. 9, Issue 1, 2022 · pp. 19–25 Read article
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On The Time-Domain Analysis of the Electromagnetic Transients in High-Voltage Line Towers
Abstract: This paper presents an efficient and direct method for the time-domain transient analysis of high voltage power line towers. A Mathematica-based numerical solution of the governing set of simultaneous partial differential and algebraic equations is proposed. The results of a corresponding computer code are presented and discussed. A comparison with other more sophisticated analytical time-and Laplace-domain approaches is presented. In addition to the possible use of the EMTP transients’ program, …
Published in Journal of Nuclear Engineering & Technology · Vol. 13, Issue 2, 2023 · pp. 12–20 Read article
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Design and Simulation of Discrete Time Optimal Speed Control for an Induction Motor Taking Core Loss and Stray Load Losses into Account
Abstract: Generally, the core loss and stray load loss are neglected in the mathematical model of induction motor (IM) to design the decoupling torque and flux control strategy. In order to precisely control the torque and flux, core loss and stray load loss, which are generally neglected, should be considered in the mathematical model of IM to design the controller. Some of literatures have shown how the detuning can be done …
Published in Journal of Power Electronics and Power Systems · Vol. 4, Issue 3, 2014 · pp. 46–56 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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Principles of Interpolating Prognostication in Oncology
Abstract: AbstractThe precise prediction in oncology plays a critical role in prevention, treatment, assessment of the effectiveness of methods of treatment and treatment outcomes for cancer patients. Some medical researches claim that statistical processing (factor analysis) permits to precisely individualize the prognosis, which determines the possibility of an individual approach to monitoring and postoperative treatment of patients. However, factor analysis permits only creating a matrix of factors that can significantly describe …
Published in Research and Reviews: Journal of Oncology and Hematology · Vol. 9, Issue 2, 2020 · pp. 39–51 Read article
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Digital Transactions System
Abstract: In this paper, a cryptographic application is presented as Digital Transaction System (DTS). DTS requires the high level security protocol. There are various attacks considered successfully on DTS. The claim of the security of DTS holds the short time. Thus, it requires updating frequently. The single hardness of the problem is not enough but the compact problem is recommended to design such DTS. This work is based on the study …
Published in Journal of Multimedia Technology & Recent Advancements · Vol. 7, Issue 2, 2020 · pp. 18–24 Read article
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A Review on Social Network Analysis
Abstract: Abstract -Online services of social networking sites like Facebook, twitter, messengers etc. are rising exponentially. In this big data era valuable data has to be collected and analyzed. The best example of generating big data is the social network so it is necessary to collect and analyze it. Social network is the collection of the user represented as the node and social relationships as a link. Social network analysis basically …
Published in Journal of Web Engineering & Technology · Vol. 5, Issue 1, 2018 · pp. 10–16 Read article
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Fractional Free Electron Laser Equation and K-Function
Abstract: AbstractIn this era, fractional free electron laser (FEL) equations are studied due to their utility and importance in mathematical physics and engineering. The aim of present paper is to find the solution of generalized fractional order free electron laser (FEL) equation, using K-function. The results obtained here are moderately universal in nature. Special cases, relating to the exponential function are also considered. The special functions were introduced in 18th century …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 17–20 Read article
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Triple Dirichlet Average of New M-Function and Fractional Derivative
Abstract: Abstract:The aim of present paper to establish some results of Triple Dirichlet average of M-Function, using fractional derivative. Fractional calculus is powerful branch of mathematics that has also sporadically been applied to structural dynamics problems. Indeed, it appears to us to be a solution in search of a good problem. In that sense, it has some of the character of the laser shortly after its development. Fractional calculus is also …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 37–41 Read article