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Author:
Publisher: Elsevier
ISBN: 0080955363
Category : Mathematics
Languages : en
Pages : 269
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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author:
Publisher: Elsevier
ISBN: 0080955363
Category : Mathematics
Languages : en
Pages : 269
Get Book Here
Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author: Solomon Marcus
Publisher: Polimetrica s.a.s.
ISBN: 8876990747
Category : Philosophy
Languages : en
Pages : 544
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Book Description
Author: Hermes
Publisher: Academic Press
ISBN: 0080955657
Category : Computers
Languages : en
Pages : 149
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Book Description
Functional Analysis and Time Optimal Control
Author: C. MartÃn-Vide
Publisher: Elsevier
ISBN: 1483294722
Category : Mathematics
Languages : en
Pages : 480
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Book Description
The present volume contains some selected topics of current interest around the world in the mathematical analysis of natural language. The book is divided into four sections:- analytical algebraic models- models from the theory of formal grammars and automata, with interest mainly in syntax- model-theoretic concepts in semantics or pragmatics, and- a final section containing some applications in computational linguistics.The varied perspectives illustrated in the book confirm that Mathematical Linguistics has finally introduced scientific methods into a previously fuzzy field, through the use of mathematical reasoning. The text will contribute to a fruitful convergence between linguists, mathematicians, logicians, computer scientists, cognitive scientists and others interested in the formal treatment of natural language and the research of its properties.
Author: Einar Haugen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111684970
Category : Language Arts & Disciplines
Languages : en
Pages : 1200
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Book Description
To celebrate the 270th anniversary of the De Gruyter publishing house, the company is providing permanent open access to 270 selected treasures from the De Gruyter Book Archive. Titles will be made available to anyone, anywhere at any time that might be interested. The DGBA project seeks to digitize the entire backlist of titles published since 1749 to ensure that future generations have digital access to the high-quality primary sources that De Gruyter has published over the centuries.
Author: Urabe
Publisher: Academic Press
ISBN: 008095541X
Category : Computers
Languages : en
Pages : 343
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Book Description
Nonlinear Autonomous Oscillations presents a self-contained and readable account for mathematicians, physicists, and engineers. This monograph is mainly concerned with the analytical theory of nonlinear autonomous oscillations, with the approach based mostly on the author's work. After some introductory material, in Chapter 5 a moving orthogonal coordinate system along a closed orbit is introduced. In the next four chapters, stability theory and perturbation theory are systematically discussed for general autonomous systems by means of a moving coordinate system. In Chapter 10, the two-dimensional autonomous system is discussed in detail on the basis of results obtained in the preceding chapters. In Chapter 11, a numerical method for determining a periodic solution of the general nonlinear autonomous system is described. To illustrate this, the periodic solutions of the autonomous van der Pol equation for various values of thedamping coefficient are computed. Chapter 12, which is based on the work of the author and Sibuya, discusses the center of higher dimension. Chapter 13 discusses a particular inverse problem connected with the period of periodicsolutions of one interesting equation. There are, of course, many other topics of importance in the theory of nonlinear autonomous oscillations. These are, however, omitted in the present monograph because they are mainly topological rather than analytical and in order to keep the book from growing inordinately long.
Author: Faure
Publisher: Academic Press
ISBN: 008095555X
Category : Computers
Languages : en
Pages : 317
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Book Description
Introduction to Operations Research
Author: Anatoli Torokhti
Publisher: Elsevier
ISBN: 0080955584
Category : Mathematics
Languages : en
Pages : 257
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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author: Gilbert
Publisher: Academic Press
ISBN: 0080955622
Category : Computers
Languages : en
Pages : 335
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Book Description
Function Theoretic Methods in Partial Differential Equations
Author: V. Lakshmikantham
Publisher: Academic Press
ISBN: 0080955630
Category : Computers
Languages : en
Pages : 405
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Book Description
This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.
