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This paper presents a brief historical survey of iterative methods for solving linear systems of equations. The journey begins with Gauss who developed the first known method that can be termed iterative. The early 20th century saw good…

历史与综述 · 数学 2019-08-06 Yousef Saad

A nanodevice consisting of a conductive cylinder in an axial magnetic field with one-dimensional wires attached to its lateral surface is considered. An explicit form for transmission and reflection coefficients of the system as a function…

介观与纳米尺度物理 · 物理学 2007-05-23 V. A. Margulis , M. A. Pyataev

In 1967 the Dutch mathemetician F.J.M. Barning described an infinite, planar, ternary tree*. Seven years later, A. Hall independently discovered the same tree. Both used the method of uni-modular matrices to transform one triple to another.…

历史与综述 · 数学 2012-02-09 H. Lee Price

This paper focuses on the design of transmission methods and reflection optimization for a wireless system assisted by a single or multiple reconfigurable intelligent surfaces (RISs). The existing techniques are either too complex to…

信息论 · 计算机科学 2023-09-13 Wei Jiang , Hans D. Schotten

This contribution to the book in honour of J.S. Bell will probably differ from the remaining ones, in particular since only a part of it will be devoted to specific technical arguments. In fact I have considered appropriate to share with…

物理学史与哲学 · 物理学 2014-11-07 GianCarlo Ghirardi

The Rician distribution, a well-known statistical distribution frequently encountered in fields like magnetic resonance imaging and wireless communications, is particularly useful for describing many real phenomena such as signal process…

统计方法学 · 统计学 2024-10-30 Jesus Enrique Achire Quispe , Eduardo Ramos , Pedro Luiz Ramos

The Scientific Revolution sweeping through seventeenth-century Europe led to unprecedented intellectual and scientific insights and high-profile technological developments. Combined with a significant worldwide increase in naval commerce,…

物理学史与哲学 · 物理学 2018-07-11 Richard de Grijs

A realistic performance assessment of any wireless technology requires the use of a channel model that reflects its main characteristics. The independent and identically distributed Rayleigh fading channel model has been (and still is) the…

信息论 · 计算机科学 2021-01-05 Emil Björnson , Luca Sanguinetti

Writing is an ancient communication technique dating back at least 30,000 years. While even sophisticated contemporary writing techniques hinge on solid surfaces for engraving or the deposition of ink, writing within a liquid medium…

软凝聚态物质 · 物理学 2023-08-29 Nadir Möller , Lukas Hecht , Ran Niu , Benno Liebchen , Thomas Palberg

The coincidence-time loophole was identified by Larsson & Gill (Europhys. Lett. 67, 707 (2004)); a concrete model that exploits this loophole has recently been described by De Raedt et al. (Found. Phys., to appear). It is emphasized here…

量子物理 · 物理学 2008-01-14 Peter Morgan

This paper includes notes to accompany a reading of Thue's 1914 paper "Probleme uber Veranderungen von Zeichenreihen nach gegebenen Reglen", along with a translation of that paper. Thue's 1914 paper is mainly famous for proving an early…

形式语言与自动机理论 · 计算机科学 2013-08-28 James F. Power

In this paper, we chronologically recount several situations that have contributed to the development and formalization of the objects known as imaginary or complex numbers. We will begin by introducing the earliest documented knowing for…

历史与综述 · 数学 2023-10-16 John Alexander Arredondo García , Camilo Ramírez Maluendas

Beginning from the formal resolution of Riemann Zeta function, by using the formula of inner product between two infinite-dimensional vectors in the complex space, the author proved the world's baffling problem -- Riemann hypothesis raised…

综合数学 · 数学 2007-05-23 Kaida Shi

The paper presents a general introduction to the astonishing method for deriving probability approximations that was invented by Charles Stein around 50 years ago.

概率论 · 数学 2014-11-06 Andrew D. Barbour , Louis H. Y. Chen

This paper presents the design and the current prototype implementation of an interactive vocal Information Retrieval system that can be used to access articles of a large newspaper archive using a telephone. The results of preliminary…

数字图书馆 · 计算机科学 2007-05-23 Fabio Crestani

In realistic cellular communication systems, multiple service providers will operate within different frequency ranges. Each serving cell, which is managed by a distinct service provider, is designed individually due to the orthogonal…

信息论 · 计算机科学 2024-09-30 Hyeongtaek Lee , Junil Choi

This article is a summary of a talk about Richard Feynman, given at a conference Polymaths across the Eras organized in November 2023 by the St Cross Centre for the History and Philosophy of Physics (HAPP) in Oxford. It describes Feynman as…

物理学史与哲学 · 物理学 2023-12-01 David Broadhurst

Two formulas are set in floor-tiles in the foyer of the Wuerzburg building that houses the laboratory in which Wilhelm Roentgen discovered X-rays in 1895. But what do they mean, and what have they got to do with Roentgen or his work? The…

物理学史与哲学 · 物理学 2020-07-13 Anthony John Bracken

Magneto-terahertz phenomena are the main focus of the thesis. This work started as supporting research for the science of an X-ray laser (SwissFEL). X-ray lasers have recently drawn great attention as an unprecedented tool for scientific…

光学 · 物理学 2014-04-16 Mostafa Shalaby

There have been recently many studies demonstrating that the performance of wireless communication systems can be significantly improved by a reconfigurable intelligent surface (RIS), which is an attractive technology due to its low power…

信号处理 · 电气工程与系统科学 2023-08-21 Samed Keşir , Sefa Kayraklık , İbrahim Hökelek , Ali Emre Pusane , Ertugrul Basar , Ali Görçin