Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm

2000 Mathematics Subject Classification: 17A50, 05C05.In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x)

Effectively Closed Infinite-Genus Surfaces and the String Coupling

The class of effectively closed infinite-genus surfaces, defining the completion of the domain of string perturbation theory, can be included in the category $O_G$, which is characterized by the vanishing capacity of the ideal boundary. The cardinality of the maximal set of endpoints is shown to be 2^{\mit N}. The product of the coefficient of the genus-g superstring amplitude in four dimensions by $2^g$ in the $g\to \infty$ limit is an exponential function of the genus with a base comparable in magnitude to the unified gauge coupling. The value of the string coupling is consistent with the characteristics of configurations which provide a dominant contribution to a finite vacuum amplitude.Comment: TeX, 33 page

Degenerating families of dendrograms

Dendrograms used in data analysis are ultrametric spaces, hence objects of nonarchimedean geometry. It is known that there exist $p$-adic representation of dendrograms. Completed by a point at infinity, they can be viewed as subtrees of the Bruhat-Tits tree associated to the $p$-adic projective line. The implications are that certain moduli spaces known in algebraic geometry are $p$-adic parameter spaces of (families of) dendrograms, and stochastic classification can also be handled within this framework. At the end, we calculate the topology of the hidden part of a dendrogram.Comment: 13 pages, 8 figure

Verantwoorde omgang met zorgbehoevende dieren en euthanasie op het primaire bedrijf

Samenvatting NL Zorg voor (jonge) dieren is zowel politiek als maatschappelijk en in de verschillende diersectoren een speerpunt, zeker als deze dieren ziek worden. Goede omgang met “zorgbehoevende dieren” en een bijbehorend verantwoord euthanasiebeleid is een belangrijk onderdeel van de zorgplicht van dierhouders. Aan de hand van verdiepend onderzoek met de sector zijn er beslisondersteuners opgesteld voor konijn en schaap, die de omgang van de professionele dierhouder met zorgbehoevende dieren ondersteunen. Met de beslisondersteuner kan de dierhouder een gefundeerde beslissing nemen over het al dan niet behandelen of euthanaseren van een zorgbehoevend dier. Om een dier te euthanaseren dient de uitvoerder vakbekwaam te zijn. In overeenstemming met wetgeving (EC 1099/2009) zijn hiervoor kaders opgesteld. Summary UK Care for (young) animals is both politically and socially in various animal sectors an important topic of discussion, especially if these animals become ill. Proper treatment of sick and injured animals who require more and specific care and an associated responsible euthanasia policy is an important part of the duty of care of animal farmers. Based on in-depth research with the sector, decision support tools have been drawn up for both rabbit and sheep, which support the farmer's decision-making with sick and injured animals. With the decision support tool, the farmer can make a well-founded decision about whether or not to treat or to euthanize a care animal. To euthanize an animal, the operator must be professionally competent. Frameworks have been drawn up for this in accordance with legislation (EC 1099/2009)

Technical design of the phase I Mu3e experiment

The Mu3e experiment aims to find or exclude the lepton flavour violating decay at branching fractions above . A first phase of the experiment using an existing beamline at the Paul Scherrer Institute (PSI) is designed to reach a single event sensitivity of . We present an overview of all aspects of the technical design and expected performance of the phase I Mu3e detector. The high rate of up to muon decays per second and the low momenta of the decay electrons and positrons pose a unique set of challenges, which we tackle using an ultra thin tracking detector based on high-voltage monolithic active pixel sensors combined with scintillating fibres and tiles for precise timing measurements

The Mu3e Data Acquisition

The Mu3e experiment aims to find or exclude the lepton flavor violating decay μ+→e+e−e+ with a sensitivity of one in 10 16 muon decays. The first phase of the experiment is currently under construction at the Paul Scherrer Institute (PSI, Switzerland), where beams with up to 10 8 muons per second are available. The detector will consist of an ultra-thin pixel tracker made from High-Voltage Monolithic Active Pixel Sensors (HV-MAPS) , complemented by scintillating tiles and fibers for precise timing measurements. The experiment produces about 100Gbit/s of zero-suppressed data, which are transported to a filter farm using a network of field programmable gate arrays (FPGAs) and fast optical links. On the filter farm, tracks and three-particle vertices are reconstructed using highly parallel algorithms running on graphics processing units, leading to a reduction of the data to 100 Mbyte/s for mass storage and offline analysis. This article introduces the system design and hardware implementation of the Mu3e data acquisition and filter farm

Operation and performance of the MEG II detector

The MEG II experiment, located at the Paul Scherrer Institut (PSI) in Switzerland, is the successor to the MEG experiment, which completed data taking in 2013. MEG II started fully operational data taking in 2021, with the goal of improving the sensitivity of the mu+-&gt; e+gamma\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\upmu <^>+ \rightarrow {\textrm{e}}<^>+ \upgamma \end{document} decay down to similar to 6x10-14\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\sim 6 \times 10<^>{-14}\end{document} almost an order of magnitude better than the current limit. In this paper, we describe the operation and performance of the experiment and give a new estimate of its sensitivity versus data acquisition time