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The quantum optical notions are generalized beyond Fock representations where the richness of an infinite dimensional quantum field system, with its mathematical difficulties and theoretical possibilities, is fully taken into account. It aims at a microscopic formulation of a mesoscopic model class which covers in principle all stages of the generation and propagation of light within a unified and well-defined conceptual frame.The dynamics of the interacting systems is founded according to original works of the authors on convergent perturbation series and describes the developments of the quantized microscopic as well as the classical collective degrees of freedom at the same time. The achieved theoretical unification fits especially to laser and microwave applications inheriting objective information over quantum noise.A special advancement is the incorporation of arbitrary multiply connected cavities where ideal conductor boundary conditions are imposed. 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It mainly consists of three parts. Part I is a brief review of classical central limit theorems for sums of independent random variables, martingale differences sequences and Markov chains, etc. These classical theorems are frequently used in the study of random matrices and random partitions. Part II concentrates on the asymptotic distribution theory of Circular Unitary Ensemble and Gaussian Unitary Ensemble, which are prototypes of random matrix theory. It turns out that the classical central limit theorems and methods are applicable in describing asymptotic distributions of various eigenvalue statistics. This is attributed to the nice algebraic structures of models. This part also studies the Circular Ensembles and Hermitian Ensembles. Part III is devoted to the study of random uniform and Plancherel partitions. There is a surprising similarity between random matrices and random integer partitions from the viewpoint of asymptotic distribution theory, though it is difficult to find any direct link between the two finite models. A remarkable point is the conditioning argument in each model. Through enlarging the probability space, we run into independent geometric random variables as well as determinantal point processes with discrete Bessel kernels.This book treats only second-order normal fluctuations for primary random variables from two classes of special random models. It is written in a clear, concise and pedagogical way. 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To check out Set 1 and Set 3, please visit Set 1: Thermal Packaging Techniques and Set 3: Thermal Packaging Applications /remove Thermal and mechanical packaging - the enabling technologies for the physical implementation of electronic systems - are responsible for much of the progress in miniaturization, reliability, and functional density achieved by electronic, microelectronic, and nanoelectronic products during the past 50 years. The inherent inefficiency of electronic devices and their sensitivity to heat have placed thermal packaging on the critical path of nearly every product development effort in traditional, as well as emerging, electronic product categories.Successful thermal packaging is the key differentiator in electronic products, as diverse as supercomputers and cell phones, and continues to be of pivotal importance in the refinement of traditional products and in the development of products for new applications. The Encyclopedia of Thermal Packaging, compiled in four multi-volume sets (Set 1: Thermal Packaging Techniques, Set 2: Thermal Packaging Tools, Set 3: Thermal Packaging Applications, and Set 4: Thermal Packaging Configurations) will provide a comprehensive, one-stop treatment of the techniques, tools, applications, and configurations of electronic thermal packaging. Each of the author-written sets presents the accumulated wisdom and shared perspectives of a few luminaries in the thermal management of electronics.Set 2: Thermal Packaging ToolsThe second set in the encyclopedia, Thermal Packaging Tools, includes volumes dedicated to thermal design of data centers, techniques and models for the design and optimization of heat sinks, the development and use of reduced-order compact thermal models of electronic components, a database of critical material thermal properties, and a comprehensive exploration of thermally-informed electronic design. The numerical and analytical techniques described in these volumes are among the primary tools used by thermal packaging practitioners and researchers to accelerate product and system development and achieve correct by design thermal packaging solutions.The four sets in the Encyclopedia of Thermal Packaging will provide the novice and student with a complete reference for a quick ascent on the thermal packaging ';learning curve,'; the practitioner with a validated set of techniques and tools to face every challenge, and researchers with a clear definition of the state-of-the-art and emerging needs to guide their future efforts. 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This textbook, based on the unique characteristics of TCM, discusses its principle theories and presents a comprehensive daily practice guide for health maintenance and disease treatment. The book provides clinical practitioners with a fundamental understanding of the essence of TCM.We highly recommend this book for students interested in TCM, Chinese medicine doctors and other healthcare professionals, biomedical researchers, and interested individuals. Readers will benefit from the inspirational viewpoints discussed in the book.", "author": "Stevenson Xutian, Shusheng Tai, Chun-su Yuan", "slug": "handbook-of-traditional-chinese-medicine-volume-3-265558-9789814571340", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9789814571340.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "265558", "product_url": "/app/ecom/book/265558/handbook-of-traditional-chinese-medicine-volume-3-265558-9789814571340", "bisac_codes": [ "MED001000" ], "items_count": null, "identifiers": { "ISBN13": "9789814293815", "EISBN13": "9789814571340", "EISBN10": "9814571342" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010014995740" } } } }, { "type": "Product", "id": "00010000265557", "attributes": { "name": "ANNL REV COLD ATOMS & MOLE (V3)", "subtitle": "Volume 3", "description": "The aim of this book is to contain review articles describing the latest theoretical and experimental developments in the field of cold atoms and molecules. Our hope is that this series will promote research by both highlighting recent breakthroughs and by outlining some of the most promising research directions in the field.", "author": "Kirk W Madison, Kai Bongs, Lincoln D Carr, Ana Maria Rey, Hui Zhai", "slug": "annl-rev-cold-atoms-mole-v3-265557-9789814667753", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9789814667753.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "265557", "product_url": "/app/ecom/book/265557/annl-rev-cold-atoms-mole-v3-265557-9789814667753", "bisac_codes": [ "SCI053000" ], "items_count": null, "identifiers": { "ISBN13": "9789814667739", "EISBN13": "9789814667753", "EISBN10": "9814667757" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010015028010" } } } }, { "type": "Product", "id": "00010000265556", "attributes": { "name": "The Geometry of the Octonions", "subtitle": "", "description": "There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics including the remarkable fact that classical supersymmetry only exists in particular spacetime dimensions.Contents:IntroductionNumber Systems:The Geometry of the Complex NumbersThe Geometry of the QuaternionsThe Geometry of the OctonionsOther Number SystemsSymmetry Groups:Some Orthogonal GroupsSome Unitary GroupsSome Symplectic GroupsSymmetry Groups over Other Division AlgebrasLie Groups and Lie AlgebrasThe Exceptional GroupsApplications:Division Algebras in MathematicsOctonionic Eigenvalue ProblemsThe Physics of the OctonionsMagic SquaresReadership: Advanced ubdergraduate and graduate students and faculty in mathematics and physics; non-experts with moderately sophisticated mathematics background.Key Features:This book is easily digestible by a large audience wanting to know the elementary introduction to octanionsSuitable for any reader with a grasp of the complex numbers, although familiarity with non-octonionic versions of some of the other topics would be helpfulMany open problems are very accessibleAdvanced topics covered are quite sophisticated, leading up to a clear discussion of (one representation of) the exceptional Lie algebras and their associated root diagrams, and of the octonionic projective spaces on which they act", "author": "Tevian Dray, Corinne A Manogue", "slug": "the-geometry-of-the-octonions-265556-9789814401821-tevian-dray-corinne-a-manogue", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9789814401821.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "265556", "product_url": "/app/ecom/book/265556/the-geometry-of-the-octonions-265556-9789814401821-tevian-dray-corinne-a-manogue", "bisac_codes": [ "MAT002010" ], "items_count": null, "identifiers": { "ISBN13": "9789814401814", "EISBN13": "9789814401821", "EISBN10": "981440182X" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010015171539" } } } } ], "meta": { "pagination": { "page": 75504, "pages": 78424, "count": 1568477 } } }
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