From Cosmological Structures to the Milky Way

Nowadays, tensors play a central role for the representation, mining, analysis, and fusion of multidimensional, multimodal, and heterogeneous big data in numerous fields. This set on Matrices and Tensors in Signal Processing aims at giving a self-contained and comprehensive presentation of various concepts and methods, starting from fundamental algebraic structures to advanced tensor-based applications, including recently developed tensor models and efficient algorithms for dimensionality reduction and parameter estimation. Although its title suggests an orientation towards signal processing, the results presented in this set will also be of use to readers interested in other disciplines. This first book provides an introduction to matrices and tensors of higher-order based on the structures of vector space and tensor space. Some standard algebraic structures are first described, with a focus on the hilbertian approach for signal representation, and function approximation based on Fourier series and orthogonal polynomial series. Matrices and hypermatrices associated with linear, bilinear and multilinear maps are more particularly studied. Some basic results are presented for block matrices. The notions of decomposition, rank, eigenvalue, singular value, and unfolding of a tensor are introduced, by emphasizing similarities and differences between matrices and tensors of higher-order.

"This standard assumes that the structure, after completion, is used as intended in the project and subject to planned inspection and maintenance to meet the expected project lifetime and to detect any unforeseen weakness or behavior" (EN 13670 §4.1) An important decision factor in the design of new structures and repairs to existing structures is the lifetime or expected service life. This concept, which is common for civil engineering works, has been extended to all engineering and building works by applying the European Structural Design Codes. This book tries to take stock of the inspection methodologies related to each type of civil engineering work, the various pathologies of concrete structures, and gives examples of the writing of reports.

Organic Structures from Spectra, Fourth Edition consists of a carefully selected set of over 300 structural problems involving the use of all the major spectroscopic techniques. The problems are graded to develop and consolidate the student’s understanding of Organic Spectroscopy, with the accompanying text outlining the basic theoretical aspects of major spectroscopic techniques at a level sufficient to tackle the problems. Specific changes for the new edition will include A significantly expanded section on 2D NMR spectroscopy focusing on COSY, NOESY and CH-Correlation Incorporating new material into some tables to provide extra characteristic data for various classes of compounds Additional basic information on how to solve spectroscopic problems Providing new problems within the area of 10 2D NMR spectroscopy More problems at the ‘simpler’ end of the range As with previous editions, this book combines basic theory, practical advice and sensible approaches to solving spectra problems. It will therefore continue to prove invaluable to students studying organic spectroscopy across a range of disciplines.

Based on research on the links between deep brain stimulation and its applications in the field of psychiatry, the history of techniques is of great importance in this book in order to understand the scope of the fields of application of electricity in brain sciences. The concepts of brain electricity, stimulation, measurement and therapy are further developed to identify lines of convergence, ruptures and conceptual perspectives for a materialistic understanding of human nature that emerged during the 18th century. In an epistemological posture, at the crossroads of the concepts of epistemes, as stated by Foucault, and phenomenotechnics, as conceived by Bachelard, the analyses focus on the technical content of the theories while inscribing them in the language and specificities of each era.

This book traces the evolution of theory of structures and strength of materials – the development of the geometrical thinking of the Renaissance to become the fundamental engineering science discipline rooted in classical mechanics. Starting with the strength experiments of Leonardo da Vinci and Galileo, the author examines the emergence of individual structural analysis methods and their formation into theory of structures in the 19th century. For the first time, a book of this kind outlines the development from classical theory of structures to the structural mechanics and computational mechanics of the 20th century. In doing so, the author has managed to bring alive the differences between the players with respect to their engineering and scientific profiles and personalities, and to create an understanding for the social context. Brief insights into common methods of analysis, backed up by historical details, help the reader gain an understanding of the history of structural mechanics from the standpoint of modern engineering practice. A total of 175 brief biographies of important personalities in civil and structural engineering as well as structural mechanics plus an extensive bibliography round off this work.

Detailed mapping and analysis of the structural features of rocks enable the 3D geometry of their structures to be reconstructed. The resulting evidence of the stresses and movement patterns which rocks have undergone indicates the processes by which they were formed, and allows evaluation of past deformations of the earth’s crust. Written to show how one actually describes, measures and records rock structures such as folds and faults with the emphasis on accuracy, detail and on-going interpretation throughout, this handbook gives students and enthusiasts the practical information and guidance which allows their fieldwork to become vastly more rewarding. «…the author is to be congratulated on producing such an excellent text. The whole range of mapping techniques that an undergraduate student will require are described and the book will still be immense help to post-graduates setting out on their research work. The book represents extremely good value and is thoroughly recommended.» —C.R.L. Friend, Mineralogical Magazine

As neuroimaging becomes more widespread, it is increasingly being used in the courts, even though understanding and interpreting neuroimaging methods and results can be very challenging – even without attempting to evaluate their potential applications to forensic questions. The sheer volume of available information, research results, and opinions can seem intimidating to forensic practitioners and to mental health professionals in general. This will be the first book dedicated to this important topic. Designed as a reference for forensic psychiatrists, it starts with a brief overview of the psychiatric applications of the primary neuroimaging techniques currently in most widespread use, positron emission tomography (PET), single-photon emission computed tomography (SPECT), and magnetic resonance imaging (MRI). Subsequent chapters explore the current and potential uses of neuroimaging in civil and criminal forensic contexts. Diagnostic categories addressed include traumatic brain injury, dementia, psychopathy, paraphilias, psychoses and mood disorders. Legal concepts such as admissibility, relevance, and standards of proof are reviewed as they relate to the possible uses of neuroimaging findings in legal proceedings; prior precedents and court decisions are also reviewed. Novel potential applications of neuroimaging, including detection of deception and identification of memory or recognition, are addressed in dedicated chapters. There is a growing body of writing on the ethical implications of neuroimaging in the legal context, but this has largely been in bioethics journals that have limited readership among members of the mental health profession. Ethical questions generated by the rapidly evolving field of forensic neuroimaging are explored in detail in a dedicated chapter. This book will be of great use to practicing forensic psychiatrists, forensic psychologists and forensic neurologists as they are increasingly likely to find themselves being asked to give professional opinions regarding the impact of neuroimaging findings on medicolegal questions such as competence, criminal responsibility, personal injury and disability. The book will be an invaluable resource for forensic practitioners seeking to understand and navigate this new area.

The design of mechanical structures with predictable and improved durability cannot be achieved without a thorough understanding of the mechanisms of fatigue damage and more specifically the relationships between the microstructure of materials and their fatigue properties. Written by leading researchers in the field, this book, along with the complementary books Fatigue of Materials and Structures: Fundamentals and Application to Damage and Design (both also edited by Claude Bathias and Andr? Pineau), provides an authoritative, comprehensive and unified treatment of the mechanics and micromechanisms of fatigue in metals, polymers and composites. Each chapter is devoted to one of the major classes of materials or to different types of fatigue damage, thereby providing overall coverage of the field. This book deals with multiaxial fatigue, thermomechanical fatigue, fretting-fatigue, influence of defects on fatigue life, cumulative damage and damage tolerance, and will be an important and much used reference for students, practicing engineers and researchers studying fracture and fatigue in numerous areas of materials science and engineering, mechanical, nuclear and aerospace engineering.