An Introduction to Algebraic Statistics with Tensors, Cristiano Bocci; Luca Chiantini
Автор: Joseph K. Blitzstein, Jessica Hwang Название: Introduction to Probability, Second Edition ISBN: 1138369918 ISBN-13(EAN): 9781138369917 Издательство: Taylor&Francis Рейтинг: Цена: 74510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Assumes one-semester of calculus. "Stories" make distributions (Normal, Binomial, Poisson that are widely-used in statistics) easier to remember, understand. Many books write down formulas without explaining clearly why these particular distributions are important or how they are all connected.
Название: Introduction to Tensors and Group Theory for Physicists ISBN: 3319147935 ISBN-13(EAN): 9783319147932 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An Introduction to Tensors and Group Theory for Physicists
Автор: J.M. Landsberg Название: Tensors: Asymptotic Geometry and Developments 2016-2018 ISBN: 1470451360 ISBN-13(EAN): 9781470451363 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 48490.00 T Наличие на складе: Нет в наличии. Описание: Tensors are used throughout the sciences, especially in solid state physics and quantum information theory. This book brings a geometric perspective to the use of tensors in these areas. It begins with an introduction to the geometry of tensors and provides geometric expositions of the basics of quantum information theory, Strassen's laser method for matrix multiplication, and moment maps in algebraic geometry. It also details several exciting recent developments regarding tensors in general. In particular, it discusses and explains the following material previously only available in the original research papers: (1) Shitov's 2017 refutation of longstanding conjectures of Strassen on rank additivity and Common on symmetric rank; (2) The 2017 Christandl-Vrana-Zuiddam quantum spectral points that bring together quantum information theory, the asymptotic geometry of tensors, matrix multiplication complexity, and moment polytopes in geometric invariant theory; (3) the use of representation theory in quantum information theory, including the solution of the quantum marginal problem; (4) the use of tensor network states in solid state physics, and (5) recent geometric paths towards upper bounds for the complexity of matrix multiplication.Numerous open problems appropriate for graduate students and post-docs are included throughout.
Автор: Wolf Altman, Antonio Marmo De Oliveira Название: Physical Components of Tensors ISBN: 1138827371 ISBN-13(EAN): 9781138827370 Издательство: Taylor&Francis Рейтинг: Цена: 61250.00 T Наличие на складе: Невозможна поставка. Описание: Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in the areas of elasticity and shell theories in mind, this text focuses on the physical and nonholonomic components of tensors and applies them to the theories. It establishes a theory of physical and anholonomic components of tensors and applies the theory of dimensional analysis to tensors and (anholonomic) connections. This theory shows the relationship and compatibility among several existing definitions of physical components of tensors when referred to nonorthogonal coordinates. The book assumes a basic knowledge of linear algebra and elementary calculus, but revisits these subjects and introduces the mathematical backgrounds for the theory in the first three chapters. In addition, all field equations are also given in physical components as well. Comprised of five chapters, this noteworthy text: Deals with the basic concepts of linear algebra, introducing the vector spaces and the further structures imposed on them by the notions of inner products, norms, and metrics Focuses on the main algebraic operations for vectors and tensors and also on the notions of duality, tensor products, and component representation of tensors Presents the classical tensor calculus that functions as the advanced prerequisite for the development of subsequent chapters Provides the theory of physical and anholonomic components of tensors by associating them to the spaces of linear transformations and of tensor products and advances two applications of this theory Physical Components of Tensors contains a comprehensive account of tensor calculus, and is an essential reference for graduate students or engineers concerned with solid and structural mechanics.
Автор: Hess, Siegfried Название: Tensors for physics ISBN: 3319127861 ISBN-13(EAN): 9783319127866 Издательство: Springer Рейтинг: Цена: 56590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Tensors for Physics
Автор: Renteln Название: Manifolds, Tensors, and Forms ISBN: 1107042194 ISBN-13(EAN): 9781107042193 Издательство: Cambridge Academ Рейтинг: Цена: 71810.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book`s clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.
Автор: Wei, Yimin Название: Theory and Computation of Tensors ISBN: 0128039531 ISBN-13(EAN): 9780128039533 Издательство: Elsevier Science Рейтинг: Цена: 58380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships.
Автор: Robert F. Snider Название: Irreducible Cartesian Tensors ISBN: 3110563630 ISBN-13(EAN): 9783110563634 Издательство: Walter de Gruyter Цена: 123910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Автор: Habib Ammari; Hyeonbae Kang Название: Polarization and Moment Tensors ISBN: 1441924493 ISBN-13(EAN): 9781441924490 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material.
Part I: Tensor Data Visualization: Top Challenges in the Visualization of Engineering Tensor Fields: M Hlawitschka et al.- Tensor Invariants and Glyph Design: A. Kratz et al.- Part II: Representation and Processing of Higher-order Descriptors: Monomial Phase: A Matrix Representation of Local Phase: H. Knutsson et al.- Order Based Morphology for Colour Images via Matrix Fields: B. Burgeth et al.- Sharpening Fibers in Diffusion Weighted MRI via Erosion: T.C.J. Dela Haije et al.- Part III: Higher Order Tensors and Riemannian-Finsler Geometry: Higher-Order Tensors in Diffusion Imaging: Thomas Schultz et al.- 4th Order Symmetric Tensors and Positive ADC Modelling: A. Ghosh et al.- Riemann-Finsler Geometry for Diffusion Weighted Magnetic Resonance Imaging: L.Florack et al.- Riemann-Finsler Multi-Valued Geodesic Tractography for HARDI: N.Sepasian et al.- Part IV: Tensor Signal Processing: Kernel-based Morphometry of Diffusion Tensor Images: M. Ingalhalikar et al.- The Estimation of Free-Water Corrected Diffusion Tensors: O. Pasternak et al.- Techniques for Computing Fabric Tensors: A Review: R. Moreno et al.- Part V: Applications of tensor processing: Tensors in Geometry Processing: E. Zhang.- Preliminary findings in diagnostic prediction of schizophrenia using diffusion tensor imaging: Y.Rathi et al.- A System for Combined Visualization of EEG and Diffusion Tensor Imaging Tractography Data: A. Wiebel et al.
Автор: Gurau, Razvan Gheorghe Название: Random Tensors ISBN: 0198787936 ISBN-13(EAN): 9780198787938 Издательство: Oxford Academ Рейтинг: Цена: 98210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces "Random Tensors," a framework for studying random geometries in any dimension. It provides a complete derivation of the key results in the field. Whatever form a theory of Quantum Gravity may take, it must incorporate random geometry.
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