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Incohérents (Group of artists) --- Absolute, The --- Arts Incohérents (Mouvement artistique) --- Absolu (Philosophie) --- Poetry --- Poésie

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The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p › 0 is a long-standing one. Work on this question during the last 45 years has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p › 5 a finite-dimensional restricted simple Lie algebra is classical or of Cartan type. This conjecture was proved for p › 7 by Block and Wilson in 1988. The generalization of the Kostrikin-Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p › 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block-Wilson-Strade-Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every finite-dimensional simple Lie algebra over an algebraically closed field of characteristic p › 3 is of classical, Cartan, or Melikian type. In the three-volume book, the author is assembling the proof of the Classification Theorem with explanations and references. The goal is a state-of-the-art account on the structure and classification theory of Lie algebras over fields of positive characteristic leading to the forefront of current research in this field. This is the second part of the three-volume book about the classification of the simple Lie algebras over algebraically closed fields of characteristics › 3. The first volume contains the methods, examples, and a first classification result. This second volume presents insight in the structure of tori of Hamiltonian and Melikian algebras. Based on sandwich element methods due to Aleksei. I. Kostrikin and Alexander A. Premet and the investigation of absolute toral rank 2 simple Lie algebras over algebraically closed fields of characteristics › 3 is given.

Lie algebras. --- Algebra. --- Mathematics --- Mathematical analysis --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups --- Lie Algebra, Field of Positive Characteristic, Absolute Toral Rank Two Case.

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Tensor signal processing is an emerging field with important applications to computer vision and image processing. However, tensor applications and tensor-processing tools arise from very different areas, and these advances are too often kept within the areas of knowledge where they were first employed. This book presents the state of the art in this new branch of signal processing, offering research and discussion by leading experts in the area. The broad coverage supplies an overview of cutting-edge research into the newest tensor-processing techniques and their application to different domains related to computer vision and image processing. The contents demonstrate how new challenges in computer vision and image processing lead to new procedures for dealing with tensors, which are more related to the tensor nature of the information itself than to a specific application. The book provides a unique perspective on tensor analysis that encompasses concepts from traditionally disparate areas of mathematics, physics and engineering, with a particular focus on practical applications. Topics and features: Describes the use of tensors and tensor field processing in a number of different applications Examines spherical tensor calculus for local adaptive filtering and geometric transformations of local structure tensors Contains contributions by internationally renowned authorities in the field Discusses the use of tensors in computer vision applications, such as camera models and multilinear applications Presents an entire section on medical imaging, describing applications from Diffusion Tensor Magnetic Resonance Imaging to strain tensor estimation in cardiac analysis and elastography imaging Explores issues of storage, visualization and interfaces with tensors This comprehensive text is an invaluable reference and resource for researchers, practitioners and advanced students working in the area of computer vision and image processing. Dr Santiago Aja-Fernández and Dr Rodrigo de Luis García are Associate Professors of Telecommunications Engineering at the Universidad de Valladolid. Dr Dacheng Tao is Nanyang Assistant Professor with the School of Computer Engineering at the Nanyang Technological University. Dr Xuelong Li is Senior Lecturer at Birkbeck, University of London.

Computer vision. --- Image processing. --- Signal processing. --- Tensor products. --- Image processing --- Tensor products --- Computer vision --- Signal processing --- Applied Physics --- Engineering & Applied Sciences --- Calculus of tensors. --- Mathematics. --- Pictorial data processing --- Picture processing --- Processing, Image --- Machine vision --- Vision, Computer --- Absolute differential calculus --- Analysis, Tensor --- Calculus, Absolute differential --- Calculus, Tensor --- Tensor analysis --- Tensor calculus --- Computer science. --- Computer graphics. --- Computer Science. --- Image Processing and Computer Vision. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Imaging systems --- Optical data processing --- Artificial intelligence --- Pattern recognition systems --- Geometry, Differential --- Geometry, Infinitesimal --- Vector analysis --- Spinor analysis --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Optical equipment

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The authors systematically document remarkably high degrees of concentration in manufacturing exports for a sample of 151 countries over a range of 3,000 products. For every country manufacturing exports are dominated by a few "big hits" which account for most of the export value and where the "hit" includes both finding the right product and finding the right market. Higher export volumes are associated with higher degrees of concentration, after controlling for the number of destinations a country penetrates. This further highlights the importance of big hits. The distribution of exports closely follows a power law, especially in the upper tail. These findings do not support a "picking winners" policy for export development; the power law characterization implies that the chance of picking a winner diminishes exponentially with the degree of success. Moreover, given the size of the economy, developing countries are more exposed to demand shocks than rich ones, which further lowers the benefits from trying to pick winners.

Absolute advantage --- Access to Markets --- Airports and Air Services --- Brand --- Capital markets --- Economic Theory and Research --- Exports --- Externality --- Free markets --- GDP --- GDP per capita --- International Economics & Trade --- International Trade --- Law and Development --- Macroeconomics and Economic Growth --- Market failure --- Market penetration --- Marketing --- Markets and Market Access --- Price index --- Price level --- Productivity --- Purchasing --- Sales --- Substitution --- Tax Law --- Total factor productivity --- Transport --- Wealth

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There is significant academic evidence that growth in one country tends to have a positive impact on growth in neighboring countries. This paper contributes to this literature by assessing whether growth spillovers tend to vary significantly across world regions and by investigating the contribution of transport and communication infrastructure in promoting neighborhood effects. The study is global, but the main interest is on Sub-Saharan Africa. The authors define neighborhoods both in geographic terms and by membership in the same regional trade association. The analysis finds significant evidence for heterogeneity in growth spillovers, which are strong between OECD countries and essentially absent in Sub-Saharan Africa. The analysis further finds strong interaction between infrastructure and being a landlocked country. This suggests that growth spillovers from regional "success stories" in Sub-Saharan Africa and other lagging world regions will depend on first strengthening the channels through which such spillovers can spread - most importantly infrastructure endowments.

Absolute terms --- Achieving Shared Growth --- Country Strategy & Performance --- Developing countries --- Developing world --- Development report --- Development research --- Development strategy --- Economic development --- Economic Growth --- Economic growth --- Economic Theory & Research --- Economics --- Empirical evidence --- Empirical growth literature --- Empirical literature --- Growth rates --- Growth regressions --- Income levels --- Industrialized countries --- Landlocked countries --- Macroeconomics and Economic Growth --- Policy research --- Poverty Reduction --- Rich countries --- Significant evidence --- Transport --- Transport Economics Policy & Planning