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The dissemination of natural philosophy in the 18th-century, which was based primarily on Newton's pioneering work in mechanics, optics and astrophysics, is presented as seen through a remarkable textbook written by a little known Irish…

物理学史与哲学 · 物理学 2018-06-15 Michael Nauenberg

A focused modernization of Sophus Lie's brilliant writings about the foundations of geometry that every contemporary geometer should have at least once a look at. Translated, updated, commented.

历史与综述 · 数学 2010-02-08 Joel Merker

The Bayreuth Festspielhaus is well known for its architecture because its design is heavily influenced by composer Richard Wagner. Due to the special acoustic design, the reverberation time (i.e., time scale for the sound pressure level to…

科普物理 · 物理学 2017-04-13 Kai Huang

We propose a rational version of the classic Rodrigues' rotation formula, which leads to a more accurate and efficient modelling of rotations and their derivatives in finite precision arithmetic. We explain how the rational Rodrigues'…

数值分析 · 数学 2016-01-07 Walter F. Mascarenhas

Recently, the reconfigurable intelligent surface (RIS) technology has ushered in the prospect of control over the wireless propagation environment. By establishing alternative propagation paths for the transmitted signals, and by reflecting…

信号处理 · 电气工程与系统科学 2025-11-18 Pedro H. C. de Souza , Luciano Mendes

We show that Bell correlations may arise as a special sort of selection artefact, produced by ordinary control of the initial state of the experiments concerned. This accounts for nonlocality, without recourse to any direct spacelike…

量子物理 · 物理学 2024-03-14 Huw Price , Ken Wharton

A beautiful theorem of Thomas Price links the Fibonacci numbers and the Lucas polynomials to the plane geometry of an ellipse, generalizing a classic problem about circles. We give a brief history of the circle problem, an account of…

历史与综述 · 数学 2021-10-12 Ben Blum-Smith , Japheth Wood

We explore the technical details and historical evolution of Charles Peirce's articulation of a truth table in 1893, against the background of his investigation into the truth-functional analysis of propositions involving implication. In…

历史与综述 · 数学 2011-08-12 Irving H. Anellis

We present a method of obtaining a Belyi map on an elliptic curve from that on the Riemann sphere. This is done by writing the former as a radical of the latter, which we call a quadratic correspondence, with the radical determining the…

代数几何 · 数学 2019-07-16 Raimundas Vidunas , Yang-Hui He

We present an experimental visualization of the Terrell effect, an optical phenomenon predicted in 1959 by Roger Penrose and James Terrell, which reveals that the Lorentz contraction of a moving object is not visible in a snapshot…

Design is a critical to the successful development of any interactive learning environment (ILE). Moreover, in technology enhanced learning (TEL), the design process requires input from many diverse areas of expertise. As such, anyone…

软件工程 · 计算机科学 2007-05-23 Yishay Mor , Niall Winters

We reconsider Archimedes' evaluations of several square roots in 'Measurement of a Circle'. We show that several methods proposed over the last century or so for his evaluations fail one or more criteria of plausibility. We also provide…

历史与综述 · 数学 2011-01-04 E. B. Davies

From 1837, when he returned to England aboard the $\textit{HMS Beagle}$, to 1860, just after publication of $\textit{The Origin of Species}$, Charles Darwin kept detailed notes of each book he read or wanted to read. His notes and…

计算与语言 · 计算机科学 2018-02-28 Jaimie Murdock , Colin Allen , Simon DeDeo

The ability to resolve the dynamics of matter on its native temporal and spatial scales constitutes a key challenge and convergent theme across chemistry, biology, and materials science. The last couple of decades have witnessed ultrafast…

We review the relation between compact asymptotic spectral measures and certain positive asymptotic morphism on locally compact spaces via asymptotic Riesz representation theorem, as introduced by Martinez and Trout [3]. Applications to…

K理论与同调 · 数学 2012-08-28 Simona Macovei

Reconfigurable intelligent surface (RIS) can assist terahertz wireless communication to restore the fragile line-of-sight links and facilitate beam steering. Arbitrary reflection beam patterns are desired to meet diverse requirements in…

信号处理 · 电气工程与系统科学 2022-05-09 Jian Dang , Zaichen Zhang , Yewei Li , Liang Wu , Bingcheng Zhu , Lei Wang

A particle switching between two sides of a symmetric system in interaction with a continuum exhibits a telegraph-like time development without the need of the Born-Bohr principle of reduction on eigenstates of the measuring equipment. The…

量子物理 · 物理学 2012-04-26 D. Drakova , G. Doyen

Myriad articles are devoted to Mertens's theorem. In yet another, we merely wish to draw attention to a proof by Hardy, which uses a Tauberian theorem of Landau that "leads to the conclusion in a direct and elegant manner". Hardy's proof is…

数论 · 数学 2013-10-01 Mohammad Bardestani , Tristan Freiberg

An accurate and simple analytical model for the computation of the reflection amplitude and phase of Reconfigurable Intelligent Surfaces is presented. The model is based on a transmission-line circuit representation of the RIS which takes…

信号处理 · 电气工程与系统科学 2021-11-16 Filippo Costa , Michele Borgese

Hess and Philipp have recently claimed that proofs of Bell's theorem have overlooked the possibility of time dependence in local hidden variables, hence the theorem has not been proven true. Moreover they present what is claimed to be a…

量子物理 · 物理学 2009-11-07 R. D. Gill , G. Weihs , A. Zeilinger , M. Zukowski