Search results for "Mathematica"
showing 10 items of 7971 documents
Electron and photon performance measurements with the ATLAS detector using the 2015-2017 LHC proton-proton collision data
2019
This paper describes the reconstruction of electrons and photons with the ATLAS detector, employed for measurements and searches exploiting the complete LHC Run 2 dataset. An improved energy clustering algorithm is introduced, and its implications for the measurement and identification of prompt electrons and photons are discussed in detail. Corrections and calibrations that affect performance, including energy calibration, identification and isolation efficiencies, and the measurement of the charge of reconstructed electron candidates are determined using up to 81 fb−1 of proton-proton collision data collected at √s=13 TeV between 2015 and 2017.
Pupils’ mathematical self-concept in the beginning of the sixth grade
2016
The article shows the mathematical self-concept of the sixth grade pupils (n=57) in relation to their mathematical skills in school. Mathematical skills were measured with the help of a survey of the command of the decimal system and on the basis of the report grades in mathematics. The pupils’ mathematical self-concept was surveyed in the beginning of the sixth grade with the interviews and a questionnaire using the Likert-scale. The mathematical self-concept seemed to be more positive the better the mathematics skills pupils had. peerReviewed
Optimal control in models with conductive‐radiative heat transfer
2003
In this paper an optimal control problem for the elliptic boundary value problem with nonlocal boundary conditions is considered. It is shown that the weak solutions of the boundary value problem depend smoothly on the control parameter and that the cost functional of the optimal control problem is Frechet differentiable with respect to the control parameter. Optimalus valdymas modeliuose su laidžiu-radioaktyviu šilumos pernešimu Santrauka Darbe nagrinejamas nelokalaus kraštinio uždavinio optimalaus valdymo uždavinys. Parodyta, kad silpnasis kraštinio uždavinio sprendinys tolydžiai priklauso nuo valdomojo parametro, taigi, optimalaus valdymo tikslo funkcija yra diferencijuojama Freše prasme…
Validity of a novel device for indoor analysis of cyclists' drag area
2021
Cyclists need to measure aerodynamic resistance accurately and reliably, as well as economically. Devices such as Notio Aerostick, an equipment device that includes one pitot tube, have appeared for this purpose. The aim of this study is, therefore, to test the reliability and degree of agreement in the evaluation of the CdA (coefficient of aerodynamic drag), assessed by means of the Notio Aerostick compared to the Virtual Elevation (VE) and Martin mathematical models.Seventeen professional cyclists rode in a 250-metre-long velodrome covered with a concrete surface with their own time trial bikes. Each cyclist completed three rides of 15 laps at constant speed for the evaluation of the CdA,…
A New Solution for Sea Wave Energy Harvesting, the Proposal of an Ironless Linear Generator
2020
The paper investigates an innovative ironless linear generator, installable inside a wave energy converter, in order to produce electricity from sea waves. This energy source is considered strategic for the future, especially in small islands
Enseñanza de las ciencias : revista de investigación y experiencias didácticas
1996
Resumen basado en el de la publicación Resumen en inglés La evolución histórica del principio de Le Chatelier está relacionada con su uso en el aula de química. La aparente simplicidad en la cual el principio de Le Chatelier fue formulado por primera vez y el éxito logrado en la implementación de algunos procesos industriales importantes le dio un reconocimiento inicial que aún perdura. Sin embargo, desde el comienzo de este siglo, diferentes autores han señalado el carácter limitado de la regla cualitativa y su formulación vaga y ambigua. Además, la termodinámica dada por el Principio de Le Chatelier en algunas formulaciones cuantitativas limitan su aplicabilidad. Sin embargo, la mayoría d…
Asymptotic Hölder regularity for the ellipsoid process
2020
We obtain an asymptotic Hölder estimate for functions satisfying a dynamic programming principle arising from a so-called ellipsoid process. By the ellipsoid process we mean a generalization of the random walk where the next step in the process is taken inside a given space dependent ellipsoid. This stochastic process is related to elliptic equations in non-divergence form with bounded and measurable coefficients, and the regularity estimate is stable as the step size of the process converges to zero. The proof, which requires certain control on the distortion and the measure of the ellipsoids but not continuity assumption, is based on the coupling method.
A formula for the Euler characteristic of $\overline{{\cal M}}_{2,n}$
2001
In this paper we compute the generating function for the Euler characteristic of the Deligne-Mumford compactification of the moduli space of smooth n-pointed genus 2 curves. The proof relies on quite elementary methods, such as the enumeration of the graphs involved in a suitable stratification of \(\overline{{\cal M}}_{2,n}\).
Euler Characteristics of Moduli Spaces of Curves
2005
Let ${mathcal M}_g^n$ be the moduli space of n-pointed Riemann surfaces of genus g. Denote by ${\bar {\mathcal M}}_g^n$ the Deligne-Mumford compactification of ${mathcal M}_g^n$. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of ${\bar {\mathcal M}}_g^n$ for any g and n such that n>2-2g.