Download or read book Matrix Determinant with Graphs for Laplace s and Expansion Methods written by Anatoly Rozenblat and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for wide use in colleges and universities by beginners and more advanced students in studying of Linear Algebra and Programming .Its features and considered methods in general concern to evaluation of matrix determinant by Laplace's and Expansion methods with use of functional graphs and includes the following aspects: The general principles of Laplace's and Expansion methods Functional graphs and algorithms for Laplace's method in process of evaluation of matrix determinant for the different rows and columns(on base of 4 4 and 5 5 matrices) Functional graphs and algorithms for Expansion method in process of evaluation of matrix determinant for the different rows and columns (on base of 4 4 and 5 5 matrices) Evaluation of some main properties of matrix determinant in examples Practical numerical data for above-considered conditions with solving of multiply linear equations

Download or read book Solving of Determinants with Functional Graphs written by Anatoly Rozenblat and published by AuthorHouse. This book was released on 2015-03-09 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of this book is related to a specific topic in linear algebra advantageously to the matrix determinant. The main objective of this book to reduce the calculation processes for matrices determinants 3=n=6 with application of functional graphs on base of expansion and Laplace methods. In this book is included many extensive exercises that can assist students to solve of some complex problems in process of evaluation the determinants with use of functional graphs. Special features of this book include the following: • Guide to the use graphs for matrices determinants • Solving of determinants for matrices 2=n=3 • General algorithms for evaluation of determinants with matrices 4=n=6 • Functional graphs and algorithms for symmetric and oblique (skew) determinants

Download or read book Refugee of 1989 written by Anatoly Rozenblat and published by AuthorHouse. This book was released on 2014-06-16 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal to this book is put the idea of author to show that any person in extreme living conditions of financial and moral character always must stay by the HUMAN BEING; And besides in base of this book by author was underlined the essential principle that advantageously the education ,classical music, art and contact with Nature make the relations between people more humane and loyal to each other to any society; Author of this book ,as the witness of Soviet-Jewish immigration thinks that degree of complexity of any emigration submits to exponential distribution with function in view of f(x)=e -x,i.e with beginning process immigration the complexity has maximum and the end- minimum values.

Download or read book Rozenblat s 80 Years written by Anatoly Rozenblat and published by Dorrance Publishing. This book was released on 2021-09-15 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rozenblat's 80 Years: Life in Chronological Pictures By: Anatoly Rozenblat This first author's edition of illustrated book discovers to readers the real family life in the Soviet Union for period 1938-1989 years and also the immigrant's life in America from 1990-2018 years. A big attention the author devotes in his book, with using the different pictures and posters, the real complicated life without of any colors for two period of his life: · The first period author's life relates to the Soviet Union when the Jewish child has lost his parents in period of war and as he can survive at these conditions; · And the second period author's life embraces the immigration life in America without of any colors and having problems of surviving and creative work in this country.

Download or read book Chemical Graph Theory written by Nenad Trinajstic and published by Routledge. This book was released on 2018-05-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Edition! Completely Revised and Updated Chemical Graph Theory, 2nd Edition is a completely revised and updated edition of a highly regarded book that has been widely used since its publication in 1983. This unique book offers a basic introduction to the handling of molecular graphs - mathematical diagrams representing molecular structures. Using mathematics well within the vocabulary of most chemists, this volume elucidates the structural aspects of chemical graph theory: (1) the relationship between chemical and graph-theoretical terminology, elements of graph theory, and graph-theoretical matrices; (2) the topological aspects of the Hückel theory, resonance theory, and theories of aromaticity; and (3) the applications of chemical graph theory to structure-property and structure-activity relationships and to isomer enumeration. An extensive bibliography covering the most relevant advances in theory and applications is one of the book's most valuable features. This volume is intended to introduce the entire chemistry community to the applications of graph theory and will be of particular interest to theoretical organic and inorganic chemists, physical scientists, computational chemists, and those already involved in mathematical chemistry.

Download or read book Graphs and Matrices written by Ravindra B. Bapat and published by Springer. This book was released on 2014-09-19 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.

Download or read book Symbolic Analysis in Analog Integrated Circuit Design written by Henrik Floberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic Analysis in Analog Integrated Circuit Design provides an introduction to computer-aided circuit analysis and presents systematic methods for solving linear (i.e. small-signal) and nonlinear circuit problems, which are illustrated by concrete examples. Computer-aided symbolic circuit analysis is useful in analog integrated circuit design. Analytic expressions for the network transfer functions contain information that is not provided by a numerical simulation result. However, these expressions are generally extremely long and difficult to interpret; therefore, it is necessary to be able to approximate them guided by the magnitude of the individual circuit parameters. Engineering has been described as `the art of making approximations'. The inclusion of symbolic analysis in analog circuit design reduces the implied risk of ambiguity during the approximation process. A systematic method based on the nullor concept is used to obtain the basic feedback transistor amplifier configurations. Approximate expressions for the locations of poles and zeros for linear networks are obtained using the extended pole-splitting technique. An unusual feature in Symbolic Analysis in Analog Integrated Circuit Design is the consistent use of the transadmittance element with finite (linear or nonlinear) or infinite (i.e. nullor) gain as the only requisite circuit element. The describing function method is used to obtain approximate symbolic expressions for the harmonic distortion generated by a soft or hard transconductance nonlinearity embedded in an arbitrary linear network. The design and implementation of a program (i.e. CASCA) for symbolic analysis of time-continuous networks is described. The algorithms can also be used to solve other linear problems, e.g. the analysis of time-discrete switched-capacitor networks. Symbolic Analysis in Analog Integrated Circuit Design serves as an excellent resource for students and researchers as well as for industry designers who want to familiarize themselves with circuit analysis. This book may also be used for advanced courses on the subject.

Download or read book Symbolic Analysis and Reduction of VLSI Circuits written by Zhanhai Qin and published by Springer Science & Business Media. This book was released on 2009-03-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic analysis is an intriguing topic in VLSI designs. The analysis methods are crucial for the applications to the parasitic reduction and analog circuit evaluation. However, analyzing circuits symbolically remains a challenging research issue. Therefore, in this book, we survey the recent results as the progress of on-going works rather than as the solution of the field. For parasitic reduction, we approximate a huge amount of electrical parameters into a simplified RLC network. This reduction allows us to handle very large integrated circuits with given memory capacity and CPU time. A symbolic analysis approach reduces the circuit according to the network topology. Thus, the designer can maintain the meaning of the original network and perform the analysis hierarchically. For analog circuit designs, symbolic analysis provides the relation between the tunable parameters and the characteristics of the circuit. The analysis allows us to optimize the circuit behavior. The book is divided into three parts. Part I touches on the basics of circuit analysis in time domain and in s domain. For an s domain expression, the Taylor's expansion with s approaching infinity is equivalent to the time domain solution after the inverse Laplace transform. On the other hand, the Taylor's expansion when s approaches zero derives the moments of the output responses in time domain. Part II focuses on the techniques for parasitic reduction. In Chapter 2, we present the approximation methods to match the first few moments with reduced circuit orders. In Chapter 3, we apply the Y-Delta transformation to reduce the dynamic linear network. The method finds the exact values of the low order coefficients of the numerator and denominator of the transfer function and thus matches part of the moments. In Chapter 4, we handle two major issues of the Y-Delta transformation: common factors in fractional expressions and round-off errors. Chapter 5 explains the stability of the reduced expression, in particular the Ruth-Hurwitz Criterion. We make an effort to describe the proof of the Criterion because the details are omitted in most of the contemporary textbooks. In Chapter 6, we present techniques to synthesize circuits to approximate the reduced expressions after the transformation. In Part III, we discuss symbolic generation of the determinants and cofactors for the application to analog designs. In Chapter 7, we depict the classical topological analysis approach. In Chapter 8, we describe a determinant decision diagram approach that exploits the sparsity of the matrix to accelerate the computation. In Chapter 9, we take only significant terms when we search through determinant decision diagram to approximate the solution. In Chapter 10, we extend the determinant decision diagram to a hierarchical model. The construction of the modules through the hierarchy is similar to the Y-Delta transformation in the sense that a byproduct of common factors appears in the numerator and denominator. Therefore, we describe the method to prune the common factors.

Download or read book Computer Aided Design of Analog Integrated Circuits and Systems written by Rob A. Rutenbar and published by John Wiley & Sons. This book was released on 2002-05-06 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tools and techniques you need to break the analog design bottleneck! Ten years ago, analog seemed to be a dead-end technology. Today, System-on-Chip (SoC) designs are increasingly mixed-signal designs. With the advent of application-specific integrated circuits (ASIC) technologies that can integrate both analog and digital functions on a single chip, analog has become more crucial than ever to the design process. Today, designers are moving beyond hand-crafted, one-transistor-at-a-time methods. They are using new circuit and physical synthesis tools to design practical analog circuits; new modeling and analysis tools to allow rapid exploration of system level alternatives; and new simulation tools to provide accurate answers for analog circuit behaviors and interactions that were considered impossible to handle only a few years ago. To give circuit designers and CAD professionals a better understanding of the history and the current state of the art in the field, this volume collects in one place the essential set of analog CAD papers that form the foundation of today's new analog design automation tools. Areas covered are: * Analog synthesis * Symbolic analysis * Analog layout * Analog modeling and analysis * Specialized analog simulation * Circuit centering and yield optimization * Circuit testing Computer-Aided Design of Analog Integrated Circuits and Systems is the cutting-edge reference that will be an invaluable resource for every semiconductor circuit designer and CAD professional who hopes to break the analog design bottleneck.

Download or read book Analysis on Graphs and Its Applications written by Pavel Exner and published by American Mathematical Soc.. This book was released on 2008 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Download or read book BMAS written by and published by . This book was released on 2005 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings written by and published by . This book was released on 1976 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book SIAM Journal on Algebraic and Discrete Methods written by Society for Industrial and Applied Mathematics and published by . This book was released on 1987 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Treatise on the Theory of Determinants written by Sir Thomas Muir and published by . This book was released on 1882 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Modeling and Simulation Volume 12 part 2 written by William G. Vogt and published by . This book was released on 1981 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Signals and Systems written by Steven T. Karris and published by Orchard Publications. This book was released on 2012 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is primarily written for junior and senior undergraduates majoring in electrical and computer engineering. You will need this text if you are a student or working professional seeking to learn and/or review the basics of the Laplace and Z-transforms, the Fast Fourier Transform (FFT), state variables, design of analog and digital filters, window functions, cross correlation, auto correlation, and an example of a describing function. Contains many real-world examples completely solved in detail and verified with MATLAB script and Simulink models.