منابع مشابه
Special Relativity and Linear Algebra
Before Einstein’s publication in 1905 of his theory of special relativity, the mathematical manipulations that were a product of his theory were in fact already known. The so called Lorentz transformations were tricks that had been found that allowed the speed of light to propagate in all directions at the same speed, which accounted for its strange behavior when traveling through the now infam...
متن کاملNon-linear electromagnetism and special relativity
We continue the study of nonlinear Maxwell equations for electromagnetism in the formalism of B. D. Coleman & E. H. Dill. We exploit here the assumption of Lorentz invariance, following I. Bia linicki-Barula. In particular, we show that nonlinearity forbids the convexity of the electromagnetic energy density. This justifies the study of rank-one convex and of polyconvex densities, begun in [8, ...
متن کاملCentral limit theorems under special relativity.
Several relativistic extensions of the Maxwell-Boltzmann distribution have been proposed, but they do not explain observed lognormal tail-behavior in the flux distribution of various astrophysical sources. Motivated by this question, extensions of classical central limit theorems are developed under the conditions of special relativity. The results are related to CLTs on locally compact Lie gro...
متن کاملLinear Regression Under Multiple
This dissertation studies the least squares estimator of a trend parameter in a simple linear regression model with multiple changepoints when the changepoint times are known. The error component in the model is allowed to be autocorrelated. The least squares estimator of the trend and the variance of the trend estimator are derived. Consistency and asymptotic normality of the trend estimator a...
متن کاملSpecial Relativity
References 43 Index 45 ii Preface For me, the wonder of special relativity lies in its successful prediction of interesting and very nonintuitive phenomena from simple arguments with simple premises. These notes have three (perhaps ambitious) aims: (a) to introduce undergraduates to special relativity from its founding principle to its varied consequences, (b) to serve as a reference for those ...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2020
ISSN: 1556-5068
DOI: 10.2139/ssrn.3611406