Tag: Linear

Linear Models in the Mathematics of Uncertainty


Free Download Linear Models in the Mathematics of Uncertainty By John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond (auth.)
2013 | 265 Pages | ISBN: 3642352235 | PDF | 3 MB
The purpose of this book is to present new mathematical techniques for modeling global issues. These mathematical techniques are used to determine linear equations between a dependent variable and one or more independent variables in cases where standard techniques such as linear regression are not suitable. In this book, we examine cases where the number of data points issmall (effects of nuclear warfare), where the experiment is not repeatable (the breakup of the former Soviet Union), and where the data is derived from expert opinion (how conservative is a political party). In all these cases the data is difficult to measure and an assumption of randomness and/or statistical validity is questionable. We apply our methods to real world issues in international relations such as nuclear deterrence, smart power, and cooperative threat reduction. We next apply our methods to issues in comparative politics such as successful democratization, quality of life, economic freedom, political stability, and failed states. Finally, issues involving deaf and hard of hearing children are explored.

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A Linear Algebra with its Applications


Free Download A Linear Algebra with its Applications
English | 2025 | ISBN: 8770041571 | 336 Pages | PDF EPUB (True) | 18 MB
This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a subject that has found the broadest range of applications in all branches of mathematics, physical and social sciences, and engineering. It has a more significant application in information sciences and control theory.

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Epioptics Linear and Nonlinear Optical Spectroscopy of Surfaces and Interfaces


Free Download Epioptics: Linear and Nonlinear Optical Spectroscopy of Surfaces and Interfaces By John McGilp (auth.), J. F. McGlip, D. Weaire, C. H. Patterson (eds.)
1995 | 230 Pages | ISBN: 3642798225 | PDF | 9 MB
The study of condensed matter using optical techniques, where photons act as both probe and signal, has a long history. It is only recently, however, that the extraction of surface and interface information, with submonolayer resolution, has been shown to be possible using optical techniques (where "optical" applies to electromagnetic radiation in and around the visible region of the spectrum). This book describes these "epioptic" techniques, which have now been quite widely applied to semiconductor surfaces and interfaces. Particular emphasis in the book is placed on recent studies of submonolayer growth on well-characterised semiconductor surfaces, many of which have arisen from CEC DGJGII ESPRIT Basic Research Action No. 3177 "EPIOPTIC", and CEU DGIII ESPRIT Basic Research Action No. 6878 "EASI". Techniques using other areas of the spectrum such as the infra-red region (IR spectroscopy, in its various surface configurations), and the x-ray region (surface x-ray diffraction, x-ray standing wave), are omitted. The optical techniques described use simple lamp or small laser sources and are thus, in principle, easily accessible. Epioptic probes can provide new information on solid-gas, solid-liquid and liquid-liquid interfaces. They are particularly suited to growth monitoring. Emerging process technologies for fabricating submicron and nanoscale semiconductor devices and novel multilayer materials, whether based on silicon or compound semiconductors, all require extremely precise control of growth at surfaces. In situ, non-destructive, real-time monitoring and characterisation of surfaces under growth conditions is needed for further progress. Both atomic scale resolution, and non-destructive characterisation of buried structures, are required.

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Sparsity-Constrained Linear Dynamical Systems


Free Download Sparsity-Constrained Linear Dynamical Systems: From Compressed Sensing to Control Theory
English | 2024 | ISBN: 9819770890 | 175 Pages | PDF EPUB (True) | 8 MB
This volume provides a comprehensive overview of recent research advances in the upcoming field of sparse control and state estimation of linear dynamical systems. The contents offer a detailed introduction to the subject by combining classical control theory and compressed sensing. It covers conceptual foundations, including the formulation, theory, and algorithms, and outlines numerous remaining research challenges. Specifically, the book provides a detailed discussion on observability, controllability, and stabilizability under sparsity constraints. It also presents efficient, systematic, and rigorous approaches to estimating the sparse initial states and designing sparse control inputs. It also gives background materials from real analysis and probability theory and includes applications in network control, wireless communication, and image processing. It serves as a compendious source for graduate students and researchers in signal processing and control systems to acquire a thorough understanding of the underlying unified themes. The academic and industrial professionals working on the design and optimization of sparsity-constrained systems also benefit from the exposure to the array of recent works on linear dynamical systems and related mathematical machinery.

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Exploring Linear Algebra (2nd Edition)


Free Download Exploring Linear Algebra: Labs and Projects with Mathematica ®
English | 2025 | ISBN: 1032942312 | 152 Pages | PDF EPUB (True) | 9.3 MB
This text focuses on the primary topics in a first course in Linear Algebra. The author includes additional advanced topics related to data analysis, singular value decomposition, and connections to differential equations. This is a lab text that would lead a class through Linear Algebra using Mathematica® demonstrations and Mathematica® coding.

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