Download or read book Estructuras algebraicas tensoriales written by F. González de Posada and published by . This book was released on 1983 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensores cartesianos y sus aplicaciones written by Atanasio Lleó and published by . This book was released on 1983 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensor Calculus for Engineers and Physicists written by Emil de Souza Sánchez Filho and published by Springer. This book was released on 2016-05-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.

Download or read book Tensor written by and published by . This book was released on 1996 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensor Calculus written by Stanisław Gołąb and published by Elsevier Science & Technology. This book was released on 1974 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Arquitectura biodigital written by Marcelo Fraile and published by Nobuko. This book was released on 2021-06-17 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: La rápida e intensiva evolución que han experimentado las tecnologías biológicas y digitales a finales del siglo XX, han producido importantes transformaciones en nuestros hábitos cotidianos y laborales. En el campo específico de la arquitectura, se iniciaba con esto, un universo de nuevos planteos que desafían las concepciones tradicionales del diseño, dando lugar a una arquitectura con una expresión espacial germinal, fluida, en continuo proceso de cambio y de transformación hasta su concreción física final. Una arquitectura de modelos digitales producidas a través de una amplia gama de herramientas tecnológicas: modelos paramétricos, algoritmos genéticos, tecnologías CAD/CAM, que permiten optimizar los recursos de un modo lógico, más allá de la construcción gráfica o del discurso exclusivamente conceptual. Revelando el peso de lo biológico y de lo digital en la práctica del arquitecto contemporáneo. En este ámbito, la presente investigación parte de la hipótesis de que un nuevo paradigma está surgiendo en el modo de concebir la arquitectura. Dentro de la situación contemporánea donde los límites disciplinares parecieran ser difusos, algunos afirman que la arquitectura biodigital es la nueva vanguardia, otros que es una moda formalista pasajera que en muy poco tiempo será olvidada. Hasta qué punto constituye dicho marco un nuevo paradigma es aún un tema sometido a debate. ¿"Revolución científica" o "anomalía"? Esta dicotomía presenta un campo abierto que será objeto de esta investigación cuyos límites y consecuencias son impredecibles.

Download or read book Tensor Calculus written by Barry Spain and published by . This book was released on 1960 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensor Geometry written by C. T. J. Dodson and published by . This book was released on 2014-01-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Teor a y problemas de an lisis vectorial y una introducci n al an lisis tensorial written by Murray R. Spiegel and published by . This book was released on 1974 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introductory Tensorial Algorithms in Structural Mechanics written by Faysal Alkhalil Ph. D. and published by Authorhouse UK. This book was released on 2011-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for use as a textbook for courses in: Computer and Numerical Programming, Tensor Analysis, Continuum Mechanics, Structural Dynamics, Vibrations and Stochastic Processes; such might be offered in Civil Engineering, Engineering Mechanics and Analysis, Earthquake Engineering, Ocean Engineering, Aeronautics Engineering and Astronautics Engineering. It is also intended to be used as a reference for engineers and as a comprehensive guide lines or code and methodological approach for researchers in order to establish engineering programming algorithms. Algorithms are presented compactly, consequently and frame ordered. Computer programs are written in FORTRAN.

Download or read book La Arquitectura de Hoteles en la Revoluci n Cubana written by Cuba. Ministerio de la Construcción and published by . This book was released on 1984 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Introduction to Tensor Calculus written by Jacques L. Mercier and published by . This book was released on 1971 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Diccionario ilustrado de arquitectura written by Carlos E. Pérez Calvo and published by . This book was released on 1979 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Introduction to Matrix Tensor Methods in Theoretical and Applied Mechanics written by Sidney F. Borg and published by . This book was released on 1956 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Espacios en arquitectura written by and published by . This book was released on 1999 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensor Geometry written by C. T. J. Dodson and published by Berlin ; New York : Springer-Verlag. This book was released on 1991 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have been very encouraged by the reactions of students and teachers using our book over the past ten years and so this is a complete retype in TEX, with corrections of known errors and the addition of a supplementary bibliography. Thanks are due to the Springer staff in Heidelberg for their enthusiastic sup port and to the typist, Armin Kollner for the excellence of the final result. Once again, it has been achieved with the authors in yet two other countries. November 1990 Kit Dodson Toronto, Canada Tim Poston Pohang, Korea Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI O. Fundamental Not(at)ions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3. Physical Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 I. Real Vector Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1. Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Subspace geometry, components 2. Maps. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Linearity, singularity, matrices 3. Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Projections, eigenvalues, determinant, trace II. Affine Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 1. Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Tangent vectors, parallelism, coordinates 2. Combinations of Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Midpoints, convexity 3. Maps. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Linear parts, translations, components III. Dual Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 1. Contours, Co- and Contravariance, Dual Basis . . . . . . . . . . . . . . 57 IV. Metric Vector Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 1. Metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 Basic geometry and examples, Lorentz geometry 2. Maps. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 Isometries, orthogonal projections and complements, adjoints 3. Coordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Orthonormal bases Contents VIII 4. Diagonalising Symmetric Operators 92 Principal directions, isotropy V. Tensors and Multilinear Forms 98 1. Multilinear Forms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 Tensor Products, Degree, Contraction, Raising Indices VE Topological Vector Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 1. Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 Metrics, topologies, homeomorphisms 2. Limits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 Convergence and continuity 3. The Usual Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Download or read book Tensor Networks for Dimensionality Reduction and Large Scale Optimization written by Andrzej Cichocki and published by . This book was released on 2017-05-28 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph builds on Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions by discussing tensor network models for super-compressed higher-order representation of data/parameters and cost functions, together with an outline of their applications in machine learning and data analytics. A particular emphasis is on elucidating, through graphical illustrations, that by virtue of the underlying low-rank tensor approximations and sophisticated contractions of core tensors, tensor networks have the ability to perform distributed computations on otherwise prohibitively large volume of data/parameters, thereby alleviating the curse of dimensionality. The usefulness of this concept is illustrated over a number of applied areas, including generalized regression and classification, generalized eigenvalue decomposition and in the optimization of deep neural networks. The monograph focuses on tensor train (TT) and Hierarchical Tucker (HT) decompositions and their extensions, and on demonstrating the ability of tensor networks to provide scalable solutions for a variety of otherwise intractable large-scale optimization problems. Tensor Networks for Dimensionality Reduction and Large-scale Optimization Parts 1 and 2 can be used as stand-alone texts, or together as a comprehensive review of the exciting field of low-rank tensor networks and tensor decompositions. See also: Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions. ISBN 978-1-68083-222-8