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A Mathematical Model to Determine the Temperature Distribution of a Distribution Transformer
2019 Moratuwa Engineering Research Conference (MERCon), 2019The paper presents a mathematical model of a transformer, developed to determine its temperature distribution. The thermodynamic heat conduction equation is used to derive the equations governing the heat transfer. These have been discretized using finite element analysis and solved using the software COMSOL Multiphysics, taking core loss and conductor
J. R. Lucas +3 more
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Eigenvalue Distribution of Large Random Matrices
, 2011Random matrix theory is a wide and growing field with a variety of concepts, results, and techniques and a vast range of applications in mathematics and the related sciences.
L. Pastur, M. Shcherbina
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Mathematical considerations of the modified normal distribution
Bulletin géodésique, 1967In this paper, Romanowski’s modified normal distribution is considered from the mathematical standpoint. Initially, the characteristic function is computed. This function is then utilized to (1) compute moments, (2) demonstrate normal tendency as the modulating (“a”) parameter tends to infinity, (3) to formulate the modified normal distribution in ...
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Distribution Management-Mathematical Modelling and Practical Analysis
IEEE Transactions on Systems, Man, and Cybernetics, 1972Distribution Management: Mathematical Modelling and Practical Analysis. By Samuel Eilon, C. D. T. Watson‐Gandy and Nicos Christofides. London, Charles Griffin & Co. Ltd, 1971. vi, 240 p. 914″. £4·50.
Nicos Christofides +3 more
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Geometric Tomography: Parallel X-rays of planar convex bodies
, 2006422 NOTICES OF THE AMS VOLUME 42, NUMBER 4 T omography, from the Greek τóμoς, a slice, is by now an established and active area of mathematics. The word is usually associated with computerized tomography, the dramatic applications of which include the ...
R. Gardner
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Marshall-Olkin extended log-logistic distribution and its application in minification processes
, 2013In this paper, a new class of Log-Logistic distribution using MarshallOlkin transformation is introduced. Its characterization and statistical properties are obtained. The proposed model extends the Log-Logistic distribution and is more flexible.
Wenhao Gui
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The theory of homogeneous turbulence
, 1954Preface 1. Introduction 2. Mathematics representation of the field of turbulence 3. The kinematics of homogeneous turbulence 4. Some linear problems 5. General dynamics of decay 6. The universal equilibrium theory 7. Decay of the energy-containing eddies
G. Batchelor
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A Multilevel Model of the Social Distribution of High School Achievement.
, 1989The study reported here identified some characteristics of secondary schools that encourage a high level of achievement and promote an equitable distribution of achievement across the diverse social class, racial/ethnic, and academic backgrounds of ...
V. Lee, A. Bryk
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A mathematical model for the age distribution of cancer in man
International Journal of Cancer, 1969AbstractIncidence data that have been collected by cancer registries in different parts of the world provide an opportunity for examining the relationship between cancer incidence and age on a wider scale and more accurately than has been possible before.
Paula J. Cook +2 more
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Appendix: Common Distributions and Mathematical Facts
2002For handy reference, we collect together the definition and main properties of the probability distributions we have encountered, and some useful facts of mathematical life. The symbols μ and σ 2 denote the mean and variance.
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