Tag: Matrix

Free Download Quantum Geometry, Matrix Theory, and Gravity
English | 2024 | ISBN: 1009440780 | 419 Pages | PDF | 8 MB
Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang-Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.

Free Download Operator and Matrix Theory, Function Spaces, and Applications
English | 2024 | ISBN: 303150612X | 427 Pages | PDF EPUB (True) | 36 MB
This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Kraków, Poland, September 6-10, 2022. The volume reflects the wide interests of the participants and contains original research papers in the active areas of Operator Theory. These interests include weighted Hardy spaces, geometry of Banach spaces, dilations of the tetrablock contractions, Toeplitz and Hankel operators, symplectic Dirac operator, pseudodifferential and differential operators, singular integral operators, non-commutative probability, quasi multipliers, Hilbert transform, small rank perturbations, spectral constants, Banach-Lie groupoids, reproducing kernels, and the Kippenhahn curve. The volume includes contributions by a number of the world’s leading experts and can therefore be used as an introduction to the currently active research areas in operator theory.

Free Download Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas – Revised and Expanded Edition By Dennis S. Bernstein
2018 | 1600 Pages | ISBN: 0691151202 | PDF | 7 MB
The essential reference book on matrices―now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more.Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.Fully updated and expanded with new material on scalar and vector mathematicsCovers the latest results in matrix theoryProvides a list of symbols and a summary of conventions for easy and precise useIncludes an extensive bibliography with back-referencing plus an author index

Free Download The Matrix Perturbation Method in Quantum Mechanics
English | 2024 | ISBN: 3031485459 | 201 Pages | PDF EPUB (True) | 36 MB
This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method’s applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike.

Free Download Matrix Discrete Element Analysis of Geological and Geotechnical Engineering by Chun Liu
English | EPUB (True) | 2021 | 306 Pages | ISBN : 9813345233 | 102.4 MB
This book introduces the basic structure, modeling methods, numerical calculation processes, post-processing, and system functions of MatDEM, which applies the basic principles and algorithm of the discrete element method. The discrete element method can effectively simulate the discontinuity, inhomogeneity, and large deformation damage of rock and soil. It is widely used in both research and industry.

Free Download Web Matrix Developer’s Guide by John Paul Mueller
English | 2002 | ISBN: 1590590929 | 472 Pages | PDF | 16.0 MB
Expert author John Mueller provides a complete view of Web Matrix, Microsoft’s free Web site creation program – everything from simple Web pages to Web Services and database development to mobile applications. Mueller covers all the major features of Web Matrix, including the ASP.NET page designer, SQL and MSDE database management, data bound UI generation, XML Web Services, building mobile applications, FTP workspaces, and community integration. The combination of coverage, viewpoint, and quality make this title unique.

Free Download Fauzia Husain, "The Stigma Matrix: Gender, Globalization, and the Agency of Pakistan’s Frontline Women "
English | ISBN: 1503632377 | 2024 | 306 pages | EPUB, PDF | 2 MB + 35 MB

Free Download The 2×2 Matrix: Contingency, Confusion and the Metrics of Binary Classification
English | 2024 | ISBN: 3031471938 | 369 Pages | PDF EPUB (True) | 12 MB
Worked examples based on pragmatic test accuracy study data are used in chapters to illustrate relevance to day-to-day clinical practice. Readers will gain an understanding of sensitivity and specificity and predictive values along with many other parameters.

Free Download Matrix and Finite Element Analyses of Structures by Madhujit Mukhopadhyay, Abdul Hamid Sheikh
English | November 26, 2022 | ISBN: 3031087232 | 494 pages | MOBI | 71 Mb
This textbook has been primarily written for undergraduate and postgraduate engineering students studying the mechanics of solids and structural systems. The content focuses on matrix, finite elements, structural analysis, and computer implementation in a unified and integrated manner. Using classical methods of structural analysis, it discusses matrix and the finite element methods in an easy-to-understand manner. It consists of a large number of diagrams and illustrations for easy understanding of the concepts. All the computer codes are presented in "FORTRAN" AND "C". This textbook is highly useful for the undergraduate and postgraduate engineering students. It also acquaints the practicing engineers about the computer-based techniques used in structural analysis.

Free Download Mueller-Matrix Tomography of Biological Tissues and Fluids: Digital Image Processing and Analysis Techniques by Zhengbing Hu , Yuriy A. Ushenko , Iryna V. Soltys , Oleksandr V. Dubolazov , M. P. Gorsky , Oleksandr V. Olar , Liliya Yu. Trifonyuk
English | PDF EPUB (True) | 2024 | 126 Pages | ISBN : 9819982278 | 57.1 MB
This book presents experimental investigations and digital image processing, highlighting the interaction of polarized radiation with phase-inhomogeneous and optically anisotropic biological layers. The promising and efficient use of vector-parametric description of the formation of polarization-inhomogeneous object fields is noted. Applications of a set of Mueller-matrix polarimetry methods are highlighted. The book includes- structural and logical scheme of multi-parameter (singular, interference and layer-by-layer Stokes-polarimetric), polarization-correlation study of the structure of distributions of the number of singularities, maps of local contrast of interference distributions and layer-by-layer maps of microscopic polarization azimuth and ellipticity; determination of relationships between changes in the magnitude of statistical parameters characterizing polarization-correlation distributions and pathology of prostate tumors.