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Planned, developed and written by practising classroom teachers with a wide variety of experience in schools, this maths course has been designed to be enjoyable and motivating for pupils and teachers. The course is open and accessible to pupils of all abilities and backgrounds, and is differentiated to provide material which is appropriate for all pupils. It provides spiral coverage of the curriculum which involves regular revisiting of key concepts to promote familiarity through practice. This teacher's file is designed for stage three of Year 9.
Developed for the CCEA Specification, this Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for the non-specialist, useful supplementary ideas and homework sheets.
This volume presents classical results of the theory of enlargement of filtration. The focus is on the behavior of martingales with respect to the enlarged filtration and related objects. The study is conducted in various contexts including immersion, progressive enlargement with a random time and initial enlargement with a random variable. The aim of this book is to collect the main mathematical results (with proofs) previously spread among numerous papers, great part of which is only available in French. Many examples and applications to finance, in particular to credit risk modelling and the study of asymmetric information, are provided to illustrate the theory. A detailed summary of further connections and applications is given in bibliographic notes which enables to deepen study of the topic. This book fills a gap in the literature and serves as a guide for graduate students and researchers interested in the role of information in financial mathematics and in econometric science. A basic knowledge of the general theory of stochastic processes is assumed as a prerequisite.
Among the criteria for accession to the European Union are democracy and the Rule of Law. In the insightful analysis offered by the author of this book, these concepts - while admirable and even necessary criteria in principle - are almost impossible to measure, and any judgement grounded in them will always be difficult to justify. In his words, 'by including analysis of democracy and the Rule of Law within the field of the EU enlargement law, the Union entered an unstable terrain of vague causal connections and blurred definitions.' Dr Kochenov addresses this problem by proceeding as follows: 1. Outlining EU enlargement law in general, including the principle of conditionality and the role played by the analysis of democracy and the Rule of Law in enlargement preparation; 2. Focusing on the role actually played by the monitoring of democracy and the Rule of Law in ten candidate countries, scrutinizing the way the EU used the legal tools and competences outlined in its enlargement law. The book adopts the EU's own understanding of democracy and the Rule of Law, as derived directly from the substance of the numerous legal and political instruments issued by the Community Institutions and especially the Commission in the course of the pre-accession process. In this way it demonstrates the actual - as opposed to the officially announced - role played by the assessment of democracy and the Rule of Law in the candidate countries in the regulation of enlargement. Many formidable inconsistencies in the application of the conditionality principle are thus laid bare. This leads the author to a series of recommendations on policy and procedure that he demonstrates could be profitably applied to the regulation of current and future accessions, using the Commission's own structure of monitoring pre-accession reforms in the three areas of the legislature, executive, and judiciary in candidate countries. The probity and soundness of these recommendations, firmly grounded as they are in the actual pre-accession monitoring and its consequences for the pre-accession progress of ten Eastern European countries admitted to the EU in 2004 and 2007, will greatly interest policymakers and scholars concerned with the future of European integration.
Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.
The Committee warn that the European Council and Member States cannot afford to ignore the enlargement agenda. The report considers the impact of EU enlargement on both economic growth and the stability and security of the EU's neighbourhood. The Committee also consider the increasing 'nationalisation' of the enlargement process and how the EU and the Commission should tackle bilateral issues, such as the 'name issue' between Greece and the Former Yugoslav Republic of Macedonia. EU enlargement provides benefits for both existing and new Member States. However, with the current economic difficulties in Europe, it has become less of a priority. It is important the EU does not lose sight of the benefits enlargement can bring. The UK, for example, aims to export its way out of recession and a larger single market can only help that effort. It is also vital that the EU abides by its own rules when taking in new members. The Committee believes the Copenhagen criteria set the bar at the right level and they must be properly applied to any future candidates for EU membership. Failure to do this in the case of Bulgaria and Romania led to a scramble to bring those countries up to speed after accession. That cannot be allowed to happen again.
Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.
Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.
Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.