713 resultados para Programming (Mathematics)
Resumo:
Does the 2009 Stockholm Programme matter? This paper addresses the controversies experienced at EU institutional levels as to ‘who’ should have ownership of the contours of the EU’s policy and legislative multiannual programming in the Area of Freedom, Security and Justice (AFSJ) in a post-Lisbon Treaty landscape. It examines the struggles around the third multiannual programme on the AFSJ, i.e. the Stockholm Programme, and the dilemmas affecting its implementation. The latest affair to emerge relates to the lack of fulfilment by the European Commission of the commitment to provide a mid-term evaluation of the Stockholm Programme’s implementation by mid-2012, as requested by both the Council and the European Parliament. This paper shifts the focus to a broader perspective and raises the following questions: Is the Stockholm Programme actually relevant? What do the discussions behind its implementation tell us about the new institutional dynamics affecting European integration on the AFSJ? Does the EU actually need a new (post- Stockholm) multiannual programme for the period 2015–20? And last, what role should the EP play in legislative and policy programming in order to further strengthen the democratic accountability and legitimacy of the EU’s AFSJ?
Resumo:
Pair Programming is a technique from the software development method eXtreme Programming (XP) whereby two programmers work closely together to develop a piece of software. A similar approach has been used to develop a set of Assessment Learning Objects (ALO). Three members of academic staff have developed a set of ALOs for a total of three different modules (two with overlapping content). In each case a pair programming approach was taken to the development of the ALO. In addition to demonstrating the efficiency of this approach in terms of staff time spent developing the ALOs, a statistical analysis of the outcomes for students who made use of the ALOs is used to demonstrate the effectiveness of the ALOs produced via this method.
Resumo:
One of the main tasks of the mathematical knowledge management community must surely be to enhance access to mathematics on digital systems. In this paper we present a spectrum of approaches to solving the various problems inherent in this task, arguing that a variety of approaches is both necessary and useful. The main ideas presented are about the differences between digitised mathematics, digitally represented mathematics and formalised mathematics. Each has its part to play in managing mathematical information in a connected world. Digitised material is that which is embodied in a computer file, accessible and displayable locally or globally. Represented material is digital material in which there is some structure (usually syntactic in nature) which maps to the mathematics contained in the digitised information. Formalised material is that in which both the syntax and semantics of the represented material, is automatically accessible. Given the range of mathematical information to which access is desired, and the limited resources available for managing that information, we must ensure that these resources are applied to digitise, form representations of or formalise, existing and new mathematical information in such a way as to extract the most benefit from the least expenditure of resources. We also analyse some of the various social and legal issues which surround the practical tasks.
Resumo:
The Gauss–Newton algorithm is an iterative method regularly used for solving nonlinear least squares problems. It is particularly well suited to the treatment of very large scale variational data assimilation problems that arise in atmosphere and ocean forecasting. The procedure consists of a sequence of linear least squares approximations to the nonlinear problem, each of which is solved by an “inner” direct or iterative process. In comparison with Newton’s method and its variants, the algorithm is attractive because it does not require the evaluation of second-order derivatives in the Hessian of the objective function. In practice the exact Gauss–Newton method is too expensive to apply operationally in meteorological forecasting, and various approximations are made in order to reduce computational costs and to solve the problems in real time. Here we investigate the effects on the convergence of the Gauss–Newton method of two types of approximation used commonly in data assimilation. First, we examine “truncated” Gauss–Newton methods where the inner linear least squares problem is not solved exactly, and second, we examine “perturbed” Gauss–Newton methods where the true linearized inner problem is approximated by a simplified, or perturbed, linear least squares problem. We give conditions ensuring that the truncated and perturbed Gauss–Newton methods converge and also derive rates of convergence for the iterations. The results are illustrated by a simple numerical example. A practical application to the problem of data assimilation in a typical meteorological system is presented.