History of Lorentz transformations

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Not fully grasping the concepts of relativity can lead to misunderstandings about the fundamental background of synchrotron emission. Here we deal with some intriguing cases, in which the relevant

speed of light' is not the invariant c but the speed with respect to a moving object. This specifically affects two pillars of synchrotron radiation: the Lorentz length contraction and the Doppler shift. We propose a teaching strategy relying on new versions of simple

thought' experiments. Besides putting synchr

We establish a fixed-point theorem for the face maps that consist in deleting the i th entry of an ordered set. Furthermore, we show that there exists random finite sets of integers that are almost invariant under such deletions. Consequences for various monoids of order-preserving transformations of

\mathbf{N}

are discussed in an appendix.

Dynamic processes such as crystallization, sintering and phase separation play pivotal roles in defining the structure and performance of engineered and natural materials. Yet, these phenomena are often challenging to study because they are transient, spatially heterogeneous, and span multiple length and time scales. Visualizing them in three dimensions under realistic conditions therefore requires imaging techniques capable of probing representative sample volumes with nanoscale resolution and minute-scale

We construct 3-query relaxed locally decodable codes (RLDCs) with constant alphabet size and length Õ(k2) for k-bit messages. Combined with the lower bound of Ω(k3) of [Alrabiah, Guruswami, Kothari, Manohar, STOC 2023] on the length of locally decodable codes (LDCs) with the same parameters, we obtain a separation between RLDCs and LDCs, resolving an open problem of [Ben-Sasson, Goldreich, Harsha, Sudan and Vadhan, SICOMP 2006]. Our RLDC construction relies on two components. First, we give a new construct

High-level synthesis (HLS) tools automatically synthesise hardware from imperative programs and have seen a significant rise in adoption in both industry and academia. To deliver high-quality hardware designs for increasingly general purpose programs, HLS compilers have to become more aggressive. For the most irregular programs, HLS tools generating dataflow circuits show promising performance by adapting and specializing key ideas from processor architectures, like out-of-order execution and speculation. H

Salient aspects of the commissioning, calibration, and performance of the CMS silicon strip tracker are discussed, drawing on experience during operation with proton-proton collisions delivered by the CERN LHC. The data were obtained with a variety of luminosities. The operating temperature of the strip tracker was changed several times during this period and results are shown as a function of temperature in several cases. Details of the system performance are presented, including occupancy, signal-to-noise

A particle traversing a crystal aligned with one of its crystallographic axes experiences a strong electromagnetic field that is constant along the direction of motion over macroscopic distances. For "Equation missing" and

\gamma

-rays with energies above a few

\textrm{GeV}

, this field is amplified by the Lorentz boost, to the point of exceeding the Schwinger critical field

\mathcal {E}_0 \sim 1.32 \times 10^{16}~\mathrm {V/cm}

. In this regime, nonlinear quantum-electrodynamical effects occur, such

For the two dimensional Euler equations, a classical result by Yudovich states that solutions are unique in the class of bounded vorticity; it is a celebrated open problem whether this uniqueness result can be extended in other integrability spaces. We prove in this note that such uniqueness theorem fails in the class of vector fields u with uniformly bounded kinetic energy and vorticity in the Lorentz space L1,∞ .

There is increasing research focused on rubber-derived chemicals (RDCs), predominantly originating from tire and road wear particles. Other consumer products also contain RDCs, but the overall human exposure to these compounds is unknown. This study investigated climbing shoes as a potential contributor to human indoor exposure to RDCs, including potentially harmful substances such as benzothiazoles, p-phenylenediamines (PPDs), and PPD-quinones. The soles of climbing shoes contain high but variable concentr

In this paper, we present new optimization techniques for the recently introduced Majority-Inverter Graph (MIG). Our optimizations exploit intrinsic algebraic properties of MIGs and aim at rewriting the complemented edges of the graph without changing its shape. Two exact algorithms are proposed to minimize the number of complemented edges in the graph. The former is a dynamic programming method for trees; the latter finds the exact solution with a minimum number of inversions using Boolean satisf

Aims. We investigate the extension of the very high-energy spectral tail of the Crab Pulsar at energies above 400 GeV. Methods. We analyzed similar to 320 h of good-quality Crab data obtained with the MAGIC telescope from February 2007 to April 2014. Resul ...

La réalisation d’un bobinage intervient souvent dans la phase de prototypage d’un projet. Le laboratoire possède déjà une machine qui permet de faire une bobine. Cette dernière est composée d’une pédale qui actionne un mandrin et compte le nombre de rotations. Toutefois, une telle machine force l’utilisateur à rester derrière la machine et de tenir le fil pour que la disposition latérale de ce dernier soit adéquate. Le but de ce projet est de développer une bobineuse à avance automatique ainsi qu’une interf

This book concerns the regulation of transport within a European context, covering air, inland waterways, rail, road passenger and freight, urban public transport, and short sea shipping. All these sectors have experienced substantial changes over the past two decades, in terms of ownership, competition and liberalization, and the book explores the main transformations and their impacts. The authors address these issues, with a specific focus on the effects of the organization and regulation of transport sy

We study, in the context of the full wave equation, an approximate cloaking scheme that was previously considered for the Helmholtz equation [R. V. Kohn, D. Onofrei, M. S. Vogelius, and M. I. Weinstein, Comm. Pure Appl. Math., 63 (2010), pp. 973--1016, H.-M. Nguyen and M. S. Vogelius, Arch. Ration. Mech. Anal., 203 (2011), pp. 769--807]. This cloaking scheme consists in a combination of an absorbing layer with an anisotropic layer, obtained by so-called transformation optics. We give optimal bounds for the

Poincaré's uniformisation theorem says that any Riemann surface is conformally equivalent to a unique (up to isometry) surface of constant Gauss curvature 0, 1 or –1. The (topologically) richest of these three worlds is for curvature –1 formed of hyperboli ...

We report results of muon-spin-rotation measurements performed on the ferromagnetic semiconductor EuO, which is one of the best approximations to a localized ferromagnet. We argue that implanted muons are sensitive to the internal field primarily through a combination of hyperfine and Lorentz fields. The temperature dependences of the internal field and the relaxation rate have been measured and are compared with previous theoretical predictions.

The distributed representation of correlated images is an important challenge in applications such as multi-view imaging in camera networks or low complexity video coding. This paper addresses the problem of distributed coding of images whose correlation is driven by the motion of objects or the positioning of the vision sensors. It concentrates on the problem where images are encoded with compressed linear measurements, which are used for estimation of the correlation between images at decoder. We propose

We describe a method for aligning multiple unlabeled configurations simultane- ously. Specifically, we extend the two-configuration matching approach of Green and Mardia (2006) to the multiple configuration setting. Our approach is based on the in- troduct ...

In this paper we first discuss the analysis regarding the role of Lorentz symmetry in the perturbative non-gravitational anomalies for a family of fermions, which has been recently perfomed in arXiv: 0809.0184. The theory is assumed to be translational inv ...

In one of its acceptation, the word quench is synonym of destruction. And this is even more consistent with reality in the case of the Large Hadron Collider dipole magnets, whose magnetic field and stored energy are unprecedented: the uncontrolled transiti ...

History of Lorentz transformations

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Teaching about the relativistic background of synchrotron radiation: some intriguing aspects with strong didactic implications

A fixed-point theorem for face maps, or deletion-tolerant random finite sets

In situ ptychographic x-ray nanotomography of temperature-controlled crystallization processes

3-Query RLDCs Are Strictly Stronger Than 3-Query LDCs

Graphiti: Formally Verified Out-of-Order Execution in Dataflow Circuits

Operation and Performance of the Cms Silicon Strip Tracker with Proton-proton Collisions at the Cern Lhc

Strong enhancement of electromagnetic shower development in oriented scintillating crystals and implications for particle detectors

Nonuniqueness of Solutions to the Euler Equations with Vorticity in a Lorentz Space

Inhalation of climbing shoe particles is highly relevant for the human exposure to rubber-derived chemicals in indoor facilities

Inversion Minimization in Majority-Inverter Graphs

Teraelectronvolt pulsed emission from the Crab Pulsar detected by MAGIC

Automatisation d’une bobineuse de laboratoire – guidage latéral du fil

Setting the Scene: Background and Overview of Regulatory Reform in the Transport Sector

Approximate Cloaking for the Full Wave Equation via Change of Variables

Closing Large Hyperbolic 2g-gons : a Way to Study Hyperelliptic Riemann Surfaces of Genus g

Phase transition in the localized ferromagnet EuO probed by μSR

Distributed Representation of Geometrically Correlated Images with Compressed Linear Measurements

Alignment of Multiple Configurations Using Hierarchical Models

CPT, Lorentz invariance and anomalous clash of symmetries

A finite element model of the LHC dipole cold mass with hysteretic, non-linear behavior and single turn description : towards the interpretation of magnet quenches