Partial-Matching and Hausdorff RMS Distance Under Translation: Combinatorics and Algorithms

We consider the RMS distance (sum of squared distances between pairs of points) under translation between two point sets in the plane, in two different setups. In the partial-matching setup, each point in the smaller set is matched to a distinct point in the bigger set. Although the problem is not known to be polynomial, we establish several structural properties of the underlying subdivision of the plane and derive improved bounds on its complexity. These results lead to the best known algorithm for finding a translation for which the partial-matching RMS distance between the point sets is minimized. In addition, we show how to compute a local minimum of the partial-matching RMS distance under translation, in polynomial time. In the Hausdorff setup, each point is paired to its nearest neighbor in the other set. We develop algorithms for finding a local minimum of the Hausdorff RMS distance in nearly linear time on the line, and in nearly quadratic time in the plane. These improve substantially the worst-case behavior of the popular ICP heuristics for solving this problem.Comment: 31 pages, 6 figure

The impact of illegal population migration on the risk assessment of freight transport carried out by Polish carriers

Launched in 2010, the so-called "Arab Spring" caused an increased migration of people from both the Middle East and Africa to Europe. In the face of such a large number of refugees, the European Union announced a migration crisis. This crisis has increased the risk factor of road transport along selected European routes. The aim of this publication is to present the impact of immigrant activities on the Calais - United Kingdom route section on the assessment of the risk of cargo transportation in international distribution. The risk assessment was carried out from the point of view of enterprises providing road transport services in international distribution. The research used direct interviews conducted with the managerial staff and drivers in selected road transport companies that handle transport on the route under investigation

Modified Phase Representation and Effects of Inelasticity in N/D Calculation of p-Wave Pion-Pion Scattering

An N/D formalism based on a modified phase representation is used to study the effects of inelasticity on the ρ-wave pion-pion amplitude. The effects of high-energy inelasticity are introduced in terms of the assumed behavior of the high-energy phase (not phase shift) of the partial-wave amplitude. Using a ρ-exchange input force with the experimental ρ mass and a ρ width of about 100 MeV, and the assumption that the average phase is (1/2)π, for total c.m. energies greater than about 8Mπ, we find that there is no appreciable reduction in the width of the calculated ρ-wave resonance. We also investigate the effects of low-energy inelastic channels that may contribute through the inelasticity parameter η for E ≤ Ei, where Ei is the energy above which the phase assumption is made. None of the forms for η that were used resulted in an output width less than about 280 MeV

Creating safe and resilient logistic systems: Proceedings of the 59th ESReDA seminar

Building safe and resilient logistics systems is currently a key research trend in economic and technical sciences. For this reason, the 59th ESReDA Seminar was an opportunity to present the research results in these areas and discuss the areas of necessary cooperation between industry, policy and science to improve current logistics systems. The 59th ESReDA Seminar took place in Wroclaw on October 26, 2021 by video conference means and was organized by the Wroclaw University of Science and Technology, a long-standing member of ESReDA. Supply chain resilience has gained particular importance in the last two years due to the COVID-19 pandemic, as also highlighted by the key note speech from the European Commission, DG Energy.JRC.C.3 - Energy Security, Distribution and Market

Vehicle Tracking System using Nanotechnology Satellites and Tags

This paper describes a joint project to design, develop, and deploy a satellite based tracking system incorporating micro-nanotechnology components. The system consists of a constellation of 'nanosats', a satellite command station and data collection sites, and a large number of low-cost electronic 'tags'. Both government and commercial applications are envisioned for the satellite based tracking system. The projected low price for the tracking service is made possible by the lightweight nanosats and inexpensive electronic tags which use high production volume single chip transceivers and microprocessor devices. The nanosat consists of a five inch aluminum cube with body mounted solar panels (GaAs solar cells) on all six faces. A UHF turnstile antenna and a simple, spring release mechanism complete the external configuration of the spacecraft

New Superconvergent Dispersion Relations for the Forward πN Crossing-Even Amplitude

A Liu-Okubo-type dispersion relation is derived for the crossing-even pion-nucleon forward elastic scattering amplitude T(+). Two subtractions are made, one at the physical scattering threshold and the other at a previously determined zero of T(+) on the imaginary axis of the complex ω (pion lab energy) plane. The dispersion relation is well satisfied over the whole allowed range of the Liu-Okubo parameter. Moreover, it is nearly saturated by low-energy scattering for a considerable range of the parameter. It should thus serve as an extremely sensitive test of the low-energy scattering data when such data become more accurately known

Modified Dispersion Relations and π π Scattering

The ππ S-wave scattering-length predictions of Weinberg have been tested by using dispersion sum rules for the infinite-energy cross section. Reasonable agreement is obtained with the infinite-energy cross section (≈15 mb) estimated from the factorization theorem for the Pomeranchon Regge residues. Experimental phase-shift data of Gutay et al., Walker et al., and Baton et al. are used in estimating the dispersion integrals. The analysis seems to rule out an I = 0 S-wave scattering length ⪞0.4μ-1