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In this paper we discuss various possibilities of using X-ray observations to gain information about the large-scale structure of the Universe. After reviewing briefly the current status of these investigations we explore different ways of…

Astrophysics · Physics 2007-05-23 X. Barcons , F. J. Carrera , M. T. Ceballos , S. Mateos

The aim of this paper is to provide an overview of recent development related to Bregman distances outside its native areas of optimization and statistics. We discuss approaches in inverse problems and image processing based on Bregman…

Optimization and Control · Mathematics 2015-05-21 Martin Burger

We derive an asymptotic expansion for two-dimensional displacement field associated to thin elastic inhomogeneities having no uniform thickness. Our derivation is rigorous and based on layer potential techniques. We extend these techniques…

Analysis of PDEs · Mathematics 2016-01-27 Jihene Lagha , Habib Zribi

This is a survey work on Lie algebras with ad-invariant metrics. We summarize main features, notions and constructions, in the aim of bringing into consideration the main research on the topic. We also give some list of examples in low…

Differential Geometry · Mathematics 2017-06-15 Gabriela P. Ovando

The first part of this paper contains an introduction to Bell inequalities and Tsirelson's theorem for the non-specialist. The next part gives an explicit optimum construction for the "hard" part of Tsirelson's theorem. In the final part we…

Quantum Physics · Physics 2015-05-13 David Avis , Sonoko Moriyama , Masaki Owari

We define a new measure of network symmetry that is capable of capturing approximate global symmetries of networks. We apply this measure to different networks sampled from several classic network models, as well as several real-world…

Physics and Society · Physics 2020-12-10 Yanchen Liu

In this paper we give a brief introduction to criteria for metrisability of a manifold and to some aspects of non-metrisable manifolds. Bias towards work currently being done by the author and his colleagues at the University of Auckland…

Geometric Topology · Mathematics 2016-09-07 David Gauld

We survey a variety of results about partially isometric matrices. We focus primarily on results that are distinctly finite-dimensional. For example, we cover a recent solution to the similarity problem for partial isometries. We also…

Functional Analysis · Mathematics 2019-03-29 Stephan Ramon Garcia , Matthew Okubo Patterson , William T. Ross

In this speculative, millenial essay, I try to anticipate what sort of novel gravitational optics investigations might be observed, after it becomes possible to map and monitor roughly a trillion sources (of which a billion may be usefully…

Astrophysics · Physics 2009-11-07 R. D. Blandford

We provide an introduction to the old-standing problem of isometric immersions. We combine a historical account of its multifaceted advances, which have fascinated geometers and analysts alike, with some of the applications in the…

Differential Geometry · Mathematics 2023-10-05 Qing Han , Marta Lewicka

In this paper, we obtain some inequalities by using a kernel and an inequality which is a result of Young inequality. Besides we give some applications to special means.

Classical Analysis and ODEs · Mathematics 2012-12-04 M. Emin Ozdemir , Mustafa Gurbuz , Mevlut Tunc

We derive a method for finding Lie Symmetries for third-order difference equations. We use these symmetries to reduce the order of the difference equations and hence obtain the solutions of some third-order difference equations. We also…

Exactly Solvable and Integrable Systems · Physics 2017-01-25 S. Mamba , M. K. Folly-Gbetoula , A. H. Kara

This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are…

Algebraic Geometry · Mathematics 2007-05-23 Yuri I. Manin

This article introduces novel measures of inaccuracy and divergence based on survival extropy and their dynamic forms and explores their properties and applications. To address the drawbacks of asymmetry and range limitations, we introduce…

Applications · Statistics 2024-10-31 Saranya P. , Sunoj S. M

A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy…

Quantum Physics · Physics 2025-03-06 Shigeru Furuichi , Frank Hansen

We review tools that have been developed in recent years to maximize our ability to discover and characterize new physics appearing in LHC events with missing transverse momentum.

High Energy Physics - Phenomenology · Physics 2012-03-27 Ben Gripaios

In this paper, we investigate a novel form of approximate orthogonality that is based on integral orthogonality. Additionally, we establish the fundamental properties of this new approximate orthogonality and examine its capability to…

Functional Analysis · Mathematics 2024-03-19 Ranran Wang , Qi Liu , Jinyu Xia , Yongmo Hu

Tight bounds for several symmetric divergence measures are introduced, given in terms of the total variation distance. Each of these bounds is attained by a pair of 2 or 3-element probability distributions. An application of these bounds…

Information Theory · Computer Science 2016-11-15 Igal Sason

The area of inverse problems in mathematics is highly interdisciplinary. In various fields of science, engineering, medicine, and industry, there arises a need to reconstruct information about unknown entities that cannot be directly…

Numerical Analysis · Mathematics 2024-09-17 Manabu Machida

We study the sensitivity of transverse flow towards the different density dependence of symmetry energy in Fermi energy region. Our results show that transverse flow shows sensitivity to different density dependence of symmetry energy. The…

Nuclear Theory · Physics 2011-12-15 Sakshi Gautam , Rajeev K. Puri
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