Generating multiple random exams using mathematica package and LATEX

[EN]In the framework of the European Higher Education Area, the assessment has been one of the most important aspects considered. In the Spanish Universities, one of the main differences with regard to the previous system is the incorporation of the continuous assessment to the evaluation process that is understood in several ways depending on the Universities, the courses and the lecturers. Focus on our context, a course of Mathematics of the first academic year in the Faculty of Business Administration at the University of Las Palmas de Gran Canaria (Spain), the continuous assessment has brought the preparation of a large amount of different tests to evaluate the students enrolled in it, therefore the incorporation of new tools and skills in order to make the teaching–learning process easier and more dynamic has become a need mainly in those degrees with a large number of students as the case we consider here. In this work we provide an efficient and effective way to elaborate random multiple-choice examina tion tests (although essay exams are also possible) by using Mathematica package and LATEXin order to make easier to the lectures the preparation of a large number of mid-term tests for a large number of students.

Elektromagnetische Pionproduktion in manifest Lorentz-invarianter baryonischer chiraler Störungstheorie

In dieser Arbeit wurde die elektromagnetische Pionproduktion unter der Annahme der Isospinsymmetrie der starken Wechselwirkung im Rahmen der manifest Lorentz-invarianten chiralen Störungstheorie in einer Einschleifenrechnung bis zur Ordnung vier untersucht. Dazu wurden auf der Grundlage des Mathematica-Pakets FeynCalc Algorithmen zur Berechnung der Pionproduktionsamplitude entwickelt. Bis einschließlich der Ordnung vier tragen insgesamt 105 Feynmandiagramme bei, die sich in 20 Baumdiagramme und 85 Schleifendiagramme unterteilen lassen. Von den 20 Baumdiagrammen wiederum sind 16 als Polterme und vier als Kontaktgraphen zu klassifizieren; bei den Schleifendiagrammen tragen 50 Diagramme ab der dritten Ordnung und 35 Diagramme ab der vierten Ordnung bei. In der Einphotonaustauschnäherung lässt sich die Pionproduktionsamplitude als ein Produkt des Polarisationsvektors des (virtuellen) Photons und des Übergangsstrommatrixelements parametrisieren, wobei letzteres alle Abhängigkeiten der starken Wechselwirkung beinhaltet und wo somit die chirale Störungstheorie ihren Eingang findet. Der Polarisationsvektor hingegen hängt von dem leptonischen Vertex und dem Photonpropagator ab und ist aus der QED bekannt. Weiterhin lässt sich das Übergangsstrommatrixelement in sechs eichinvariante Amplituden zerlegen, die sich im Rahmen der Isospinsymmetrie jeweils wiederum in drei Isospinamplituden zerlegen lassen. Linearkombinationen dieser Isospinamplituden erlauben letztlich die Beschreibung der physikalischen Amplituden. Die in dieser Rechnung auftretenden Einschleifenintegrale wurden numerisch mittels des Programms LoopTools berechnet. Im Fall tensorieller Integrale erfolgte zunächst eine Zerlegung gemäß der Methode von Passarino und Veltman. Da die somit erhaltenen Ergebnisse jedoch i.a. noch nicht das chirale Zählschema erfüllen, wurde die entsprechende Renormierung mittels der reformulierten Infrarotregularisierung vorgenommen. Zu diesem Zweck wurde ein Verfahren entwickelt, welches die Abzugsterme automatisiert bestimmt. Die schließlich erhaltenen Isospinamplituden wurden in das Programm MAID eingebaut. In diesem Programm wurden als Test (Ergebnisse bis Ordnung drei) die s-Wellenmultipole E_{0+} und L_{0+} in der Schwellenregion berechnet. Die Ergebnisse wurden sowohl mit Messdaten als auch mit den Resultaten des "klassischen" MAID verglichen, wobei sich i. a. gute Übereinstimmungen im Rahmen der Fehler ergaben.

A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006

A Refinement of some Overrelaxation Algorithms for Solving a System of Linear Equations

In this paper we propose a refinement of some successive overrelaxation methods based on the reverse Gauss–Seidel method for solving a system of linear equations Ax = b by the decomposition A = Tm − Em − Fm, where Tm is a banded matrix of bandwidth 2m + 1. We study the convergence of the methods and give software implementation of algorithms in Mathematica package with numerical examples. ACM Computing Classification System (1998): G.1.3.

Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type

MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32

A Python package for Bayesian estimation using Markov Chain Monte Carlo

Markov chain Monte Carlo (MCMC) estimation provides a solution to the complex integration problems that are faced in the Bayesian analysis of statistical problems. The implementation of MCMC algorithms is, however, code intensive and time consuming. We have developed a Python package, which is called PyMCMC, that aids in the construction of MCMC samplers and helps to substantially reduce the likelihood of coding error, as well as aid in the minimisation of repetitive code. PyMCMC contains classes for Gibbs, Metropolis Hastings, independent Metropolis Hastings, random walk Metropolis Hastings, orientational bias Monte Carlo and slice samplers as well as specific modules for common models such as a module for Bayesian regression analysis. PyMCMC is straightforward to optimise, taking advantage of the Python libraries Numpy and Scipy, as well as being readily extensible with C or Fortran.

Motorcycle Safety Research Project Interim Summary Report Research Deliverable 1: Investigate and Develop a Pre-learner Motorcycle Licensing Package

Motorcycle trauma is a serious road safety issue in Queensland and throughout Australia. In 2009, Queensland Transport (later Transport and Main Roads or TMR) appointed CARRS-Q to provide a three-year program of Road Safety Research Services for Motorcycle Rider Safety. Funding for this research originated from the Motor Accident Insurance Commission. This program of research was undertaken to produce knowledge to assist TMR to improve motorcycle safety by further strengthening the licensing and training system to make learner riders safer by developing a pre-learner package (Deliverable 1 which is the focus of this report), and by evaluating the Q-Ride CAP program to ensure that it is maximally effective and contributes to the best possible training for new riders (Deliverable 2), which is the focus of this report. Deliverable 3 of the program identified potential new licensing components that will reduce the incidence of risky riding and improve higher-order cognitive skills in new riders. While fatality and injury rates for learner car drivers are typically lower than for those with intermediate licences, this pattern is not found for learner motorcycle riders. Learner riders cannot be supervised as effectively as learner car drivers and errors are more likely to result in injury for learner riders than learner drivers. It is therefore imperative to improve safety for learner riders. Deliverable 1 examines the potential for improving the motorcycle learner and licence scheme by introducing a pre-learner motorcycle licensing and training scheme within Queensland. The tasks undertaken for Deliverable 1 were a literature review, analysis of learner motorcyclist crash and licensing data, and the development of a potential pre-learner motorcycle rider program.

Going beyond ‘misfit’ as a reason for ERP package customisation

In an attempt to deal with the potential problems presented by existing information systems, a shift towards the implementation of ERP packages has been witnessed. The common view, particularly the one espoused by vendors, is that ERP packages are most successfully implemented when the standard model is adopted. Yet, despite this, customisation activity still occurs reportedly due to misalignment between the functionality of the package and the requirements of those in the implementing organisation. However, it is recognised that systems development and organisational decision-making are activities influenced by the perspectives of the various groups and individuals involved in the process. Thus, as customisation can be seen as part of systems development, and has to be decided upon, it should be thought about in the same way. In this study, two ERP projects are used to examine different reasons why customisation might take place. These reasons are then built upon through reference to the ERP and more general packaged software literature. The study suggests that whilst a common reason for customising ERP packages might be concerned with functionality misfits, it is important to look further into why these may occur, as there are clearly other reasons for customisation stemming from the multiplicity of social groups involved in the process.

The Australian clean energy package and the law of the world trade organisation : an analysis of compliance issues

This thesis is a study of whether the Australian Clean Energy Package complies with the rules of the World Trade Organization. It examines the legal framework for the Australian carbon pricing mechanism and related arrangements, using World Trade Organization law as the framework for analysis. In doing so, this thesis deconstructs the Clean Energy Package by considering the legal properties of eligible emissions units, the assistance measures introduced by the Package and the liabilities created by the carbon pricing mechanism.

Biomechanical aspects of seating comfort in vehicle seating package engineering

In this paper, problems are described which are related to the ergonomic assessment of vehicle package design in vehicle systems engineering. The traditional approach, using questionnaire techniques for a subjective assessment of comfort related to package design, is compared to a biomechanical approach. An example is given for ingress design. The biomechanical approach is based upon objective postural data. The experimental setup for the study is described and methods used for the biomechanical analysis are explained. Because the biomechanic assessment requires not only a complex experimental setup but also time consuming data processing, a systematic reduction and preparation of biomechanic data for classification with an Artificial Neural Network significantly improves the economy of the biomechanical method.

Subsidies of the Australian clean energy package

The Australian Clean Energy Package has been introduced to respond to the global challenge of climate change and reduce Australia’s greenhouse gas emissions. It includes legislation to establish an emissions trading scheme. In support of the entities that are liable under this Package, there are a number of assistance measures offered to alleviate the financial burden that the Package imposes. This paper considers whether these assistance measures are subsidies within the context of the law of the World Trade Organization. In order to do this, the rules of the Agreement on Subsidies and Countervailing Measures are examined. This examination enables an understanding of when a subsidy exists and in what circumstances those subsidies occasion the use of remedies under the law.