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Numerical programs often use parallel programming techniques such as OpenMP to compute the program's output values as efficient as possible. In addition, derivative values of these output values with respect to certain input values play a crucial role. To achieve code that computes not only the output values simultaneously but also the derivative values, this work introduces several source-to-source transformation rules. These rules are based on a technique called algorithmic differentiation. The main focus of this work lies on the important reverse mode of algorithmic differentiation. The inherent data-flow reversal of the reverse mode must be handled properly during the transformation. The first part of the work examines the transformations in a very general way since pragma-based parallel regions occur in many different kinds such as OpenMP, OpenACC, and Intel Phi. The second part describes the transformation rules of the most important OpenMP constructs. Contents Introduction with Examples from Numerical Optimization Algorithmic Differentiation by Source Transformation Transformation rules for Parallel Code Regions (e.g. OpenMP 3.1) Static Program Analysis Target Groups Lecturers and students of computer science Computer scientists, engineers, mathematicians and numerical analysts The Author Michael Förster is currently Research Associate of the Institute Software and Tools for Computational Engineering, RWTH Aachen University.

Parallel programming (Computer science) --- OpenMP. --- Heterogeneous computing. --- Computer networks. --- OpenMP (Application program interface) --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Electronic data processing --- Network computers --- Heterogeneous processing (Computers) --- High performance computing --- Parallel processing (Electronic computers) --- Computer programming --- Distributed processing --- Open Multi-Processing (Application program interface) --- Computer science. --- Artificial intelligence. --- Engineering mathematics. --- Mathematics of Computing. --- Artificial Intelligence. --- Mathematical and Computational Engineering. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Engineering --- Engineering analysis --- Mathematical analysis --- Informatics --- Science --- Mathematics --- Computer science --- Applied mathematics. --- Mathematics. --- Computer science—Mathematics. --- Computer mathematics --- Mathematical and Computational Engineering Applications. --- Data processing.

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During the past two decades, issues such as insufficient resources among particular populations, relative and absolute low incomes and poverty have occupied a prominent place in social policy research in many OECD countries. However, many different concepts have been used in the literature to define and measure ’low income’ or ’poverty’ across and within Member countries. This paper analyses alternative approaches to quantifying these concepts for the explicit purpose of international comparisons. It uses micro data sets on income from the Luxembourg Income Study for 13 OECD countries, for the mid- to the end of the 1980s, to illustrate the issues. In Chapter II, the three main approaches used in the literature for defining low income and poverty - the absolute, relative and subjective approach - are discussed in detail. Chapter III discusses ways to adjust disposable income for family size and presents sensitivity tests using different equivalence scales. Chapter IV presents more ...

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Public support to families with pre-school children can be in the form of cash benefits (e.g. child allowances) or of “in-kind” support (e.g. care services such as kindergartens). The mix of these support measures varies greatly across OECD countries, from a cash / in-kind composition of 10%/90% to 80%/20%. This paper imputes the value of services into an “extended” household income and compares the resulting distributive patterns and the redistributive effect of these two strands of family policies. On average, cash and in-kind transfers each constitute 7 – 8% of the incomes of families with young children. Both instruments are redistributive. Cash transfers reduce child poverty by one third, with the estimated impacts in Austria, Ireland, Sweden, Hungary and Finland performing above average. When services are accounted for, child poverty falls by one quarter and poverty among children enrolled in childcare is more than halved. This reduction is highest in Belgium, France, Hungary, Iceland and Sweden.

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In this collective critical study of German philosophy in the 19th century, a team of experts explore the influential figures associated with the period - including Hegel, Kierkegaard, Nietzsche, and Frege - and provide fresh accounts of the philosophical movements and key debates with which they engaged.

Philosophy, German --- Filosofi --- Philosoph. --- Philosophie. --- Philosophy, German. --- Filosofie. --- historia. --- 1800-1899 --- 1800-talet --- Duitsland. --- Deutschland. --- Tyskland. --- Philosophy. --- History of philosophy, philosophical traditions.

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This report provides evidence on income distribution and poverty in 27 OECD countries over the second half of the 1990s, using data that correct for many of the features that limit cross-country and intertemporal comparisons in this field. Patterns for income distribution and relative poverty in the second half of the 1990s — a period of significant improvement in labour market conditions in most OECD countries — conform to many of the longer-term trends identified in previous OECD analysis, but also highlight some significant departures. Inequality in the distribution of household disposable income among the total population increased slightly over the second half of the 1990s, continuing the trend of the previous decade. Relative poverty, measured with respect to a threshold set at half of median income, affected in 2000 around 11% of the OECD population, with an increase since the mid-1990s that is similar to that of the previous decade. Absolute income poverty, which had declined ...

Social Issues/Migration/Health