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25 articles for “Eigenvalue”
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Binary Shape Segmentation and Classification using Coordination Number (CN)*
Abstract: We proposed a novel, micro-structures, shape-preserving local descriptor for contour-segmentation- based binary object classification and recognition, named local coordination number count (LCNC). In this method, we formulate the problem by estimating the 8-neighbourof each binary object pixel. In the matching stage, we used Euclidean distance between eigenvalues corresponding to correlation coefficient and the dynamic programming to find out the optimal correspondence between boundary smoothness of two shapes. Experimental results obtained …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 1, 2021 · pp. 22–30 Read article
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Characterizing Electromagnetic Behavior of X-Band Rectangular Waveguide with Convex and Concave Shaped Ridges Using Hp-Finite Element Method
Abstract: In this research study, we explore the behavior of electromagnetic waves as they propagate through ridge waveguides with convex and concave shapes, having both single and double walls. To analyze the waveguide's characteristics, we employ the highly accurate hp-finite element method (hp-FEM). The focus is on investigating the impact of these ridge deformations on cutoff frequencies and bandpass for TE10 and TE20 modes. To benchmark our findings, we compare the …
Published in Journal of Microwave Engineering and Technologies · Vol. 10, Issue 1, 2023 · pp. 27–34 Read article
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Study of Effect of Shape, Size and Symmetry on Electronic States of Some Three-dimensional Structures in Mesoscopic Size Regime
Abstract: This study presents theoretical study of effect of size and symmetry of different shaped three-dimensional GaAs structures in mesoscopic size regime. The effective mass Schrӧdinger equation is used in various shapes and its solution are modified as a function of volume and aspect ratio of structures. The calculated energy eigenvalues for square prism, equilateral prism, regular tetrahedral, cylindrical and spherical are comparatively analyzed to observe the effect of shape, size …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 1, 2019 · pp. 26–36 Read article
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Effect of Throughflow on the Onset of Electro-Thermo Convection in a Micropolar Fluid with Maxwell-Cattaneo Law
Abstract: AbstractThe effect of throughflow on the onset of Electro-thermo convection in a micropolar fluid with Maxwell-Cattaneo law is studied using the linear theory. The eigenvalue is obtained for free-free, rigid-rigid and rigid-free velocity boundary combinations with isothermal and adiabatic on the spin-vanishing boundaries using galerkin technique. The influence of Peclet number, Electric Rayleigh number and various micropolar fluid parameters on the onset of convection has been analyzed. It is found …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 1–17 Read article
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The Onset of Rayleigh-Bénard-Marangoni Convection in a Ferromagnetic Fluid Layer
Abstract: This study examined the implications of magnetic boundary conditions, which are vertical in nature, on buoyancy and surface tension–driven ferrothermal convection (FTC) in a ferrofluid layer. While the upper surface is stress-free and susceptible to general thermal boundary issues, the bottom surface is stiff and insulating against temperature changes. The eigenvalue issue is solved analytically using the regular perturbation method and numerically using the Galerkin technique. According to analysis, raising …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 1, 2025 · pp. 1–9 Read article
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Analysis of Field Distribution in Optical Fibre Using FEM Method
Abstract: The application of the linear Finite Element Method (FEM) to the analysis of the field distribution in optical fibres is examined in this work. Characterizing fibre characteristics like mode profiles, propagation constants, and dispersion, all of which are critical for maximizing fibre performance in a variety of applications like sensing and telecommunications, requires an understanding of the distribution of electric and magnetic fields. In order to accurately determine the modal …
Published in Trends in Opto-electro & Optical Communication · Vol. 15, Issue 2, 2025 · pp. 31–40 Read article
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Revolutionizing Optical Fibre Field Distribution with Linear Finite Element Method
Abstract: This study investigates the use of the linear Finite Element Method (FEM) for the analysis of the field distribution in optical fibres. Understanding the distribution of electric and magnetic fields is necessary to characterise fibre properties including mode profiles, propagation constants, and dispersion, all of which are essential for optimising fibre performance in a range of applications like sensing and telecommunications. This study emphasises on applying a linear FEM formulation …
Published in Trends in Opto-electro & Optical Communication · Vol. 15, Issue 3, 2025 · pp. 32–42 Read article
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Establishment of A Set of Similarity Prerequisite Conditions for Low-Cost Similitude Design of Structural System
Abstract: Similitude theory and method is a branch of engineering to establish necessary and sufficient conditions for similarity among complex phenomena. It is of great significance to develop the theory and application method in a more comprehensive way so that the similitude theory can be widely applied to low-cost designs of modern complex structural systems When designing a similitude structural system with various loads and boundary conditions, including rotating machines, it …
Published in Journal of Production Research & Management · Vol. 15, Issue 3, 2025 · pp. 1–15 Read article
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LQR-Based Optimal Control of Inverted Pendulum System with State Estimation and Stability Analysis
Abstract: The inverted pendulum on a cart is a canonical benchmark problem in control systems engineering, capturing the essential challenges of stabilizing an inherently unstable, underactuated, and nonlinear plant. Classical Proportional-Integral-Derivative (PID) controllers, while widely employed in industrial practice, exhibit fundamental performance limitations when applied to such systems, primarily due to their inability to account for multivariable coupling, process noise, and the absence of a systematic optimization framework. This paper presents …
Published in International Journal of Advanced Control and System Engineering · Vol. 4, Issue 1, 2026 · pp. 31–43 Read article
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Quantum-Fuzzy Tensor Operators and Uncertainty-Band Bifurcation for Symmetry-Preserving State Discrimination
Abstract: A tensor-operator framework is developed for fuzzy conjunction, fuzzy disjunction, and symmetry-preserving state discrimination in multi-qubit quantum systems. In this formulation, fuzzy membership and non-membership degrees are represented through expectations of effect operators acting on density matrices, providing a natural bridge between fuzzy logic and quantum measurement theory. Conjunction and disjunction operations are extended to the quantum domain via tensorised channels, constructed using projective measurements and unitary transformations, enabling logical …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 08–15 Read article
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Intuitionistic Fuzzy Hypergraph Laplacians and Dominating Transversals for Resilient Discrete Network Design
Abstract: This manuscript develops a discrete mathematical framework for resilience analysis on networks whose interactions are polyadic, uncertain, and partially conflicting. Classical graphs compress multi-way coordination into pairwise edges, while ordinary fuzzy graphs often ignore the non-membership information that becomes critical in emergency logistics, infrastructure interdependence, and cyberphysical coordination. We therefore formulate an intuitionistic fuzzy hypergraph in which each vertex hyperedge incidence carries membership, non-membership, and hesitation, and we construct a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 15–21 Read article
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Artificial Intelligence–Assisted Reduced-Order Modeling and Stability Control in Granular Couette Flow
Abstract: This study develops a reduced-order and stability-aware modeling framework for dense granular Couette flow by integrating continuum mechanics, bifurcation analysis, and data-driven stability estimation. Starting from coupled governing equations for momentum, granular temperature, and microstructural evolution, the system is nondimensionalized and reduced using a Galerkin projection consistent with shear-driven boundary conditions. This yields a low-dimensional nonlinear dynamical system that preserves the essential coupling between velocity, fluctuation energy, and structural relaxation. …
Published in Emerging Trends in Chemical Engineering · Vol. 13, Issue 3, 2026 Read article
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Microgrid System Control Identification and Evaluation for Enhanced Dynamic Operation
Abstract: Networking the distributed generators (DG) in a microgrid system involves a large number of electronic components and filters. Small changes or drifts in operating conditions as well as disturbances at the point of common coupling can excite the associated eigenvalues giving rise to slowly growing instability in the system. This article considers the stability of a microgrid system consisting of a micro alternator, wind generator, photovoltaic (PV) system, fuel cell …
Published in Journal of Control & Instrumentation · Vol. 9, Issue 1, 2018 · pp. 33–44 Read article
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Penetrative Thermomagnetic Convection in a Micropolar Ferrofluid Layer via Internal Heating
Abstract: Through the internal heating model thermomagnetic convection in a micropolar ferrofluid layer has been studied in the presence of a uniform vertical magnetic field. The rigid-isothermal boundaries are considered to be paramagnetic. The eigenvalue problem is solved numerically by Galerkin technique. The system stability is dependent on the various parameters like, dimensionless internal heat source strength Ns, magnetic parameter M1, the non-linearity of magnetization parameter M3, magnetic susceptibility χ, coupling …
Published in Journal of Experimental & Applied Mechanics · Vol. 11, Issue 2, 2020 · pp. 30–50 Read article
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Thermomagnetic Convection in a Ferrofluid Layer with Throughflow
Abstract: The effect of vertical throughflow on the onset of thermomagnetic convection in a ferrofluid layer in the presence uniform vertical magnetic field is investigated theoretically. Both the boundaries are considered to be rigid-ferromagnetic and insulated to temperature perturbations. The resulting eigenvalue problem is solved numerically using the Galerkin technique as well as analytically by regular perturbation technique with wave number as a perturbation parameter. Results show that the effect of …
Published in Journal of Experimental & Applied Mechanics · Vol. 11, Issue 3, 2020 · pp. 44–53 Read article
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Linear Stability Analysis on the Onset of Rayleigh-Bénard Convection in A Second-Order Fluid with Maxwell-Cattaneo Law under the Effect of Non-Uniform Temperature Gradient
Abstract: AbstractA Linear stability analysis is performed to study the effect of non-uniform temperature gradient on the onset of Rayleigh-Bénard convection in a second order fluid with Maxwell-Cattaneo law. The eigenvalue is obtained for general boundary condition on velocity and temperature using Galerkin technique. The influence of various parameters on the onset of convection has been analyzed. One linear and five non-linear temperature profiles are considered and their comparative influence on …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 18–30 Read article
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Thermal Instability in a Second-Order Fluid under the Effects of Suction-Injection-Combination and Maxwell-Cattaneo Law
Abstract: AbstractThe onset of Rayleigh-Bénard convection in a Second-Order fluid under the effects of Suction-Injection-Combination and Maxwell-Cattaneo Law is studied. The classical Fourier law is replaced with the Non-Classical Maxwell-Cattaneo heat flux law in the energy equation. A linear stability analysis is performed to obtain the eigenvalues for free-free isothermal boundary conditions. The influence of the parameters like Cattaneo number, Prandtl number, and Visco-elastic parameter has been analysed and found that …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 75–85 Read article
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Nonlinear Channel Equaliser using Discrete Gabor Transform
Abstract: ABSTRACTThe adaptive equaliser makes use of adaptive digital filters whose filter coefficients are modified depending on the channel characteristics at the front end of the receiver. The noise introduced in the channel gets nullified and hence the signal-to-noise ratio of the receiver improves. Discrete Gabor Transform (DGT) helps decorrelate input data because of which the convergence speed of the Mean Square Error (MSE) improves considerably. It is found that the …
Published in Journal of Computer Technology & Applications · Vol. 1, Issue 1-3, 2011 · pp. 63–74 Read article
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Face Recognition using LDA based Support Vector Machine
Abstract: AbstractRecognition of a person is an easy task for human brains. From different experiments, we have found that even one to three days old babies are able to distinguish between known faces. So, it is very difficult task for a computer to recognize an unknown human face although a computer has been trained with a huge set of human face. Now-a-days face recognition has received significant attention of researchers. Lots …
Published in Journal of Computer Technology & Applications · Vol. 5, Issue 2, 2014 · pp. 1–7 Read article
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Dimensionality Reduction using Eigenfaces and Fisherfaces for Face Recognition Applications using Kernel LMS Algorithm
Abstract: AbstractFace recognition is an intricate numerical technology in computer systems that can support recognition of human faces using methods such as principal component analysis (PCA), linear discriminant analysis (LDA), etc. by comparing the given facial uniqueness with the already available face database. PCA and LDA are classical feature extraction and data representation techniques used in face recognition algorithm involving unsupervised statistical methods. The 2-D facial image can be transformed into …
Published in Journal of Computer Technology & Applications · Vol. 6, Issue 2, 2015 · pp. 29–55 Read article