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50 articles for “exponential function”
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Lossy Image Compression Using Exponential Growth Equation and Encryption by Natural Exponential Function
Abstract: AbstractImage compression is an essential technology in transmission and storage of digital images because of vast data associated with them. So, image compression plays an important role in the transmission of digital images through the internet with less bandwidth and occupies less space in memory. This research suggests a new image compression method based on exponential growth equation. The exponential growth equation is used for the image compression. The effectiveness …
Published in Journal of Image Processing & Pattern Recognition Progress · Vol. 4, Issue 3, 2017 · pp. 46–55 Read article
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Excerpt from the Function of a Complex Variable
Abstract: The need to derive a function arose while trying to find a universal way to determine the tangent of a curve in geometry and velocity in mechanics. In mathematical analysis, in a branch of mathematics, a derivative is a measure of how (how fast) a function changes its values when its input values change. The derivative of the curve at a point represents the coefficient of the direction of the …
Published in Research & Reviews : Journal of Statistics · Vol. 10, Issue 2, 2021 · pp. 1–7 Read article
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Comparative Buckling Load Analysis of Thin Functionally Graded Material Plates with Variable Distributions: Power Law vs. Sigmoidal vs. Exponential
Abstract: A comprehensive comparative analysis of buckling load behavior in thin Functionally Graded Material (FGM) plates with variable material distributions is presented in this paper. FGMs, characterized by gradient composition, possess unique mechanical properties suitable for diverse engineering applications. The study focuses on three distinct distribution functions: Power Law, Sigmoidal, and Exponential, each exerting different influences on the material gradient. Finite Element Analysis is utilized in exploring the buckling response for …
Published in Journal of Polymer & Composites · Vol. 12, Issue 3, 2024 · pp. 98–105 Read article
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Asymptotic Tests for Truncation Parameters of several One-truncation Parameter Family of Distributions
Abstract: In this study, the authors have obtained the asymptotic tests for testing equality of truncation parameters of one truncation parameter family of distributions. The asymptotic conditional distribution of complete sufficient statistic of parameter of interest is obtained by conditioning the distribution of complete sufficient statistics of the nuisance parameters. Using this conditional distribution we have derived the asymptotic Uniformly Most Powerful Unbiased (UMPU) tests for testing hypothesis (i) one parameter …
Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 2, 2018 · pp. 35–41 Read article
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Stress Analysis of Variable Thickness FGM Rotating Disks by Element based Material Gradation under Thermomechanical Loading
Abstract: The present research work aims to analyze deformation and stresses, induced in functionally graded rotating disks of variable thicknesses. The disks are made of exponential functionally graded material, whose mechanical and physical properties vary in radial direction. Functionally gradation of the properties is achieved by element-based gradation. Uniform as well as variable thickness, namely concave profile, convex profile and linear varying profile rotating disks are analyzed for clamped-free and free-free …
Published in Trends in Machine design · Vol. 3, Issue 3, 2016 · pp. 32–42 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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On Uniformly Most Powerful Tests for Truncated Parameters of several One-Parameter-Truncated Family of Distributions
Abstract: In this paper we have obtained Uniformly Most Powerful (UMP) Tests for testing the truncated parameters with its specific value of one-parameter-truncated family of distributions which needs the distribution of order statistics. Having derived these distributions, the UMP tests have been obtained. Further the power functions have been given for different values of the parameters. Also the results of the test and power function have been applied to some specific …
Published in Research & Reviews : Journal of Statistics · Vol. 8, Issue 2, 2019 · pp. 1–9 Read article
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Stress and Deformation Analysis of Rotating Thick Truncated Conical Shells of Exponential FGM
Abstract: AbstractThe present study reports stress and deformation analysis of rotating thick truncated conical shells made of exponentially varying functionally graded material, subjected to linearly varying internal pressure. Material properties of the shells are graded exponentially along the axial direction. Metal-ceramic as well as ceramic-metal (FGM) of aluminum metal and zirconia ceramic is considered. The stresses and deformation behavior are evaluated at different surfaces along the radius and at different angular …
Published in Research & Reviews : Journal of Physics · Vol. 5, Issue 2, 2016 · pp. 36–44 Read article
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Behaviour of Tri-Directional Advanced Composite Beam Using Finite Element Method
Abstract: The present work shows the modal analysis of tri-directional advanced composite beams using the finite element method. The mechanical parameters of the beam are supposed to vary in the direction of beam length (x), width (y), and thickness (h). In this work material parameters are assumed to vary according to the exponential rule of functionally graded material. To authenticate the accuracy of the present work, the result with a particular …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 610–620 Read article
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Bayesian Weibull Model in Survival Analysis
Abstract: In this paper, we examine the performance of Maximum Likelihood Estimation (MLE) and Bayesian estimation of survival function of Weibull distribution with two parameters to the assigning informative prior and with three loss functions, namely, Linear Exponential (LINEX) Loss, General Entropy Loss and Squared Error Loss. Here the simulation study is carried out and the statistical analysis is done. Keywords: Weibull distribution, maximum likelihood estimation, Bayesian estimation, linear exponential loss, …
Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 1, 2018 · pp. 24s–29s Read article
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The Electromagnetic Transients in Mixed Power Networks with Partial Undergrounding
Abstract: This paper deals with the electromagnetic transients in partially undergrounded mixed high voltage power networks. These networks can include several cable sections replacing parts of the overhead transmission lines. The analysis yields the transient voltage and current distributions along the normal and the partially undergrounded lines. Moreover, the results can indicate eventually existing localized voltage and current concentrations within the network. The study suggests an exact direct analytical distributed parameter …
Published in Journal of Power Electronics and Power Systems · Vol. 7, Issue 2, 2017 · pp. 1–13 Read article
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Designing Reliability Single Sampling Plans based on Exponentiated Rayleigh Distribution
Abstract: Reliability sampling plans are used in manufacturing industries to take decision on the disposition of lots of finished products based on the information obtained from concerned life test. Among various schemes, hybrid censoring scheme is applied with an objective of saving both time and cost of inspecting the products simultaneously. Parameters of the reliability sampling plans under hybrid censoring scheme are determined corresponding to the lifetime distribution. Exponential, Weibull, Rayleigh …
Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 1, 2018 · pp. 36s–40s Read article
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The Weibull Distribution: A Revisit
Abstract: AbstractWeibull distribution is the most popular model in modeling data from various fields. From its introduction, comprehensive work has been done on this model providing distinct interpretations, constructions, generalizations, inferential methods, discrete cases and extensions to bivariate and multivariate. More than 4000 papers have appeared describing all these aspects and developments. This paper provides a review on the historical background and parallel developments of the Weibull distribution. Further, various generalizations …
Published in Research & Reviews : Journal of Statistics · Vol. 9, Issue 1, 2020 · pp. 16–26 Read article
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Computable Extension of New Advanced Fractional Kinetic Equation
Abstract: AbstractFirst, we obtain computable extensions of advanced fractional kinetic equation. The aim of this survey is to explore the behavior of physical and biological systems from the point of view of fractional calculus. Fractional calculus, integration and differentiation of an arbitrary or fractional order, provide new tools that expand the descriptive power of calculus beyond the familiar integer-order concepts of rates of change and area under a curve. Fractional calculus …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 26–32 Read article
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A Finite Element Solution of Functionally Graded Rotating Disk based on Element based Material Grading
Abstract: The present study reports finite element elastic analysis of variable thickness rotating disks made up of functionally graded materials (FGMs). The disks have exponentially varying material properties along the radius, which is achieved by varying the volume fraction ratio. Three types of thickness profile namely uniform, linearly varying and concave thickness profile having constant mass are analyzed and the resulting displacement and stresses areevaluated for free-free boundary condition. The investigation …
Published in Journal of Experimental & Applied Mechanics · Vol. 7, Issue 2, 2016 · pp. 41–47 Read article
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HYGROTHERMAL ANALYSIS OF FUNCTIONALLY GRADED MATERIAL PLATES
Abstract: This study introduces a novel higher-order shear deformation theory, tailored to accommodate various loading conditions experienced by laminated plates. The theory is specifically designed for the hygrothermal analysis of functionally graded plates. Three homogenization methods are used to calculate the Young's Modulus that is Power law distribution, The exponential distribution and The Mori-Tanaka scheme. Navier's solution scheme is used for flexural analysis of Functionally graded plates simply supported at all …
Published in Journal of Structural Engineering and Management · Vol. 11, Issue 2, 2024 · pp. 44–62 Read article
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Damage Evolution and Delamination Resistance in Polymer Matrix Functionally Graded Laminates
Abstract: Functionally graded laminates (FGLs) in polymer-matrix systems represent a promising pathway to enhance damage tolerance and delay delamination in advanced structural composites. In this study, we explore the mechanisms of damage initiation, propagation, and delamination resistance in polymer matrix functionally graded laminates (PM-FGLs) through a combined experimental–computational approach. Laminates with linear, exponential, and bio-inspired gradation profiles were fabricated using vacuum-assisted resin transfer molding (VARTM) and additive manufacturing techniques. Comprehensive mechanical …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 321–337 Read article
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Novel Technique for the Analysis of Electronic Circuits Including Zener Diodes
Abstract: This paper addresses the analysis of electronic circuits including Zener diodes. It starts with a modified Zener diode model, which is based on expressions involving step-functions, its parameters such as the resistances in both current directions as well as its breakdown (or Zener) voltage. In contrast to the earlier approaches expressing the sharp discontinuities characterizing the step-functions in terms of inverse hyperbolic tangent terms, this paper adopts more concise and …
Published in Journal of VLSI Design Tools and Technology · Vol. 11, Issue 3, 2021 · pp. 31–41 Read article
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Analysis of a New Approach to Admission Call Control
Abstract: This study presents a new method of managing call admission in wireless networks using a resource reservation technique. The system under study comprises a defined number of operating devices, standby units, and technicians assigned to repair failed devices. In this method, the failure and repair of devices are assumed to follow an exponential distribution. Whenever a device fails, a standby unit replaces it to maintain seamless functionality, and the failed …
Published in International Journal of Mobile Computing Technology · Vol. 3, Issue 2, 2025 · pp. 01–06 Read article
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Influence of Aeration on Biomass and Polyhydroxyalkanoate Accumulation in Priestia flexa JP1: A Foundation for Nano-Biomaterial Development
Abstract: Polyhydroxyalkanoates (PHAs) are microbial polymers that have attracted substantial interest in recent times due to their use as biodegradable substitutes for petroleum-derived plastics and also as precursors for nano-enabled biomaterials. The aim of the present work was to evaluate the effect of static and shaking culture conditions on growth kinetics, biomass formation, and PHA synthesis by Priestia flexa JP1. The bacterial strain was cultured in mineral salt media (MSM) at …
Published in Research and Reviews : A Journal of Biotechnology · Vol. 16, Issue 2, 2026 · pp. 42–50 Read article